0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : original
0.00/0.00	% Variant    : purification_ext
0.00/0.00	% Ordering    : kbo
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-avatar \
0.00/0.00	  --ho \
0.00/0.00	  --force-ho \
0.00/0.00	  --no-ho-elim-pred-var \
0.00/0.00	  --ho-general-ext-pos \
0.00/0.00	  --no-ho-unif \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --ho-purify ext \
0.00/0.00	  --ho-ext-axiom \
0.00/0.00	  --restrict-hidden-sup-at-vars \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n111.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 14:14:09 CST 2018
4.14/4.39	% done 1698 iterations in 4.193s
4.14/4.39	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
4.14/4.39	% SZS output start Refutation
4.14/4.39	tff(conj_0, conjecture,
4.14/4.39	  (member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
4.14/4.39	          product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,c,e),
4.14/4.39	          aa(fun(arrow_159774573e_indi,
4.14/4.39	                 fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
4.14/4.39	                     bool)),
4.14/4.39	             fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
4.14/4.39	                 bool),
4.14/4.39	             f,
4.14/4.39	             combs(arrow_159774573e_indi,
4.14/4.39	                   fun(product_prod(arrow_411405190le_alt,
4.14/4.39	                                    arrow_411405190le_alt),
4.14/4.39	                       bool),
4.14/4.39	                   fun(product_prod(arrow_411405190le_alt,
4.14/4.39	                                    arrow_411405190le_alt),
4.14/4.39	                       bool),
4.14/4.39	                   combs(arrow_159774573e_indi,
4.14/4.39	                         fun(product_prod(arrow_411405190le_alt,
4.14/4.39	                                          arrow_411405190le_alt),
4.14/4.39	                             bool),
4.14/4.39	                         fun(fun(product_prod(arrow_411405190le_alt,
4.14/4.39	                                              arrow_411405190le_alt),
4.14/4.39	                                 bool),
4.14/4.39	                             fun(product_prod(arrow_411405190le_alt,
4.14/4.39	                                              arrow_411405190le_alt),
4.14/4.39	                                 bool)),
4.14/4.39	                         combb(bool,
4.14/4.39	                               fun(fun(product_prod(arrow_411405190le_alt,
4.14/4.39	                                                    arrow_411405190le_alt),
4.14/4.39	                                       bool),
4.14/4.39	                                   fun(fun(product_prod(arrow_411405190le_alt,
4.14/4.39	                                                        arrow_411405190le_alt),
4.14/4.39	                                           bool),
4.14/4.39	                                       fun(product_prod(arrow_411405190le_alt,
4.14/4.39	                                                        arrow_411405190le_alt),
4.14/4.39	                                           bool))),
4.14/4.39	                               arrow_159774573e_indi,
4.14/4.39	                               if(fun(product_prod(arrow_411405190le_alt,
4.14/4.39	                                                   arrow_411405190le_alt),
4.14/4.39	                                      bool)),
4.14/4.39	                               combc(arrow_159774573e_indi,nat,bool,
4.14/4.39	                                     combb(nat,fun(nat,bool),
4.14/4.39	                                           arrow_159774573e_indi,
4.14/4.39	                                           ord_less(nat),h),
4.14/4.39	                                     n)),
4.14/4.39	                         combc(arrow_159774573e_indi,arrow_411405190le_alt,
4.14/4.39	                               fun(product_prod(arrow_411405190le_alt,
4.14/4.39	                                                arrow_411405190le_alt),
4.14/4.39	                                   bool),
4.14/4.39	                               combb(fun(product_prod(arrow_411405190le_alt,
4.14/4.39	                                                      arrow_411405190le_alt),
4.14/4.39	                                         bool),
4.14/4.39	                                     fun(arrow_411405190le_alt,
4.14/4.39	                                         fun(product_prod(arrow_411405190le_alt,
4.14/4.39	                                                          arrow_411405190le_alt),
4.14/4.39	                                             bool)),
4.14/4.39	                                     arrow_159774573e_indi,
4.14/4.39	                                     arrow_424895264_mktop,p),
4.14/4.39	                               e)),
4.14/4.39	                   combs(arrow_159774573e_indi,
4.14/4.39	                         fun(product_prod(arrow_411405190le_alt,
4.14/4.39	                                          arrow_411405190le_alt),
4.14/4.39	                             bool),
4.14/4.39	                         fun(product_prod(arrow_411405190le_alt,
4.14/4.39	                                          arrow_411405190le_alt),
4.14/4.39	                             bool),
4.14/4.39	                         combs(arrow_159774573e_indi,
4.14/4.39	                               fun(product_prod(arrow_411405190le_alt,
4.14/4.39	                                                arrow_411405190le_alt),
4.14/4.39	                                   bool),
4.14/4.39	                               fun(fun(product_prod(arrow_411405190le_alt,
4.14/4.39	                                                    arrow_411405190le_alt),
4.14/4.39	                                       bool),
4.14/4.39	                                   fun(product_prod(arrow_411405190le_alt,
4.14/4.39	                                                    arrow_411405190le_alt),
4.14/4.39	                                       bool)),
4.14/4.39	                               combb(bool,
4.14/4.39	                                     fun(fun(product_prod(arrow_411405190le_alt,
4.14/4.39	                                                          arrow_411405190le_alt),
4.14/4.39	                                             bool),
4.14/4.39	                                         fun(fun(product_prod(arrow_411405190le_alt,
4.14/4.39	                                                              arrow_411405190le_alt),
4.14/4.39	                                                 bool),
4.14/4.39	                                             fun(product_prod(arrow_411405190le_alt,
4.14/4.39	                                                              arrow_411405190le_alt),
4.14/4.39	                                                 bool))),
4.14/4.39	                                     arrow_159774573e_indi,
4.14/4.39	                                     if(fun(product_prod(arrow_411405190le_alt,
4.14/4.39	                                                         arrow_411405190le_alt),
4.14/4.39	                                            bool)),
4.14/4.39	                                     combc(arrow_159774573e_indi,nat,bool,
4.14/4.39	                                           combb(nat,fun(nat,bool),
4.14/4.39	                                                 arrow_159774573e_indi,
4.14/4.39	                                                 fequal(nat),h),
4.14/4.39	                                           n)),
4.14/4.39	                               combc(arrow_159774573e_indi,
4.14/4.39	                                     arrow_411405190le_alt,
4.14/4.39	                                     fun(product_prod(arrow_411405190le_alt,
4.14/4.39	                                                      arrow_411405190le_alt),
4.14/4.39	                                         bool),
4.14/4.39	                                     combc(arrow_159774573e_indi,
4.14/4.39	                                           arrow_411405190le_alt,
4.14/4.39	                                           fun(arrow_411405190le_alt,
4.14/4.39	                                               fun(product_prod(arrow_411405190le_alt,
4.14/4.39	                                                                arrow_411405190le_alt),
4.14/4.39	                                                   bool)),
4.14/4.39	                                           combb(fun(product_prod(arrow_411405190le_alt,
4.14/4.39	                                                                  arrow_411405190le_alt),
4.14/4.39	                                                     bool),
4.14/4.39	                                                 fun(arrow_411405190le_alt,
4.14/4.39	                                                     fun(arrow_411405190le_alt,
4.14/4.39	                                                         fun(product_prod(
4.14/4.39	                                                             arrow_411405190le_alt,
4.14/4.39	                                                             arrow_411405190le_alt),
4.14/4.39	                                                             bool))),
4.14/4.39	                                                 arrow_159774573e_indi,
4.14/4.39	                                                 arrow_1158827142_above,p),
4.14/4.39	                                           c),
4.14/4.39	                                     e)),
4.14/4.39	                         combc(arrow_159774573e_indi,arrow_411405190le_alt,
4.14/4.39	                               fun(product_prod(arrow_411405190le_alt,
4.14/4.39	                                                arrow_411405190le_alt),
4.14/4.39	                                   bool),
4.14/4.39	                               combb(fun(product_prod(arrow_411405190le_alt,
4.14/4.39	                                                      arrow_411405190le_alt),
4.14/4.39	                                         bool),
4.14/4.39	                                     fun(arrow_411405190le_alt,
4.14/4.39	                                         fun(product_prod(arrow_411405190le_alt,
4.14/4.39	                                                          arrow_411405190le_alt),
4.14/4.39	                                             bool)),
4.14/4.39	                                     arrow_159774573e_indi,
4.14/4.39	                                     arrow_276188178_mkbot,p),
4.14/4.39	                               e))))))).
4.14/4.39	tff(zf_stmt_0, negated_conjecture,
4.14/4.39	  (~
4.14/4.39	    member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
4.14/4.39	           product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,c,e),
4.14/4.39	           aa(fun(arrow_159774573e_indi,
4.14/4.39	                  fun(product_prod(arrow_411405190le_alt,
4.14/4.39	                                   arrow_411405190le_alt),
4.14/4.39	                      bool)),
4.14/4.39	              fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
4.14/4.39	                  bool),
4.14/4.39	              f,
4.14/4.39	              combs(arrow_159774573e_indi,
4.14/4.39	                    fun(product_prod(arrow_411405190le_alt,
4.14/4.39	                                     arrow_411405190le_alt),
4.14/4.39	                        bool),
4.14/4.39	                    fun(product_prod(arrow_411405190le_alt,
4.14/4.39	                                     arrow_411405190le_alt),
4.14/4.39	                        bool),
4.14/4.39	                    combs(arrow_159774573e_indi,
4.14/4.39	                          fun(product_prod(arrow_411405190le_alt,
4.14/4.39	                                           arrow_411405190le_alt),
4.14/4.39	                              bool),
4.14/4.39	                          fun(fun(product_prod(arrow_411405190le_alt,
4.14/4.39	                                               arrow_411405190le_alt),
4.14/4.39	                                  bool),
4.14/4.39	                              fun(product_prod(arrow_411405190le_alt,
4.14/4.39	                                               arrow_411405190le_alt),
4.14/4.39	                                  bool)),
4.14/4.39	                          combb(bool,
4.14/4.39	                                fun(fun(product_prod(arrow_411405190le_alt,
4.14/4.39	                                                     arrow_411405190le_alt),
4.14/4.39	                                        bool),
4.14/4.39	                                    fun(fun(product_prod(arrow_411405190le_alt,
4.14/4.39	                                                         arrow_411405190le_alt),
4.14/4.39	                                            bool),
4.14/4.39	                                        fun(product_prod(arrow_411405190le_alt,
4.14/4.39	                                                         arrow_411405190le_alt),
4.14/4.39	                                            bool))),
4.14/4.39	                                arrow_159774573e_indi,
4.14/4.39	                                if(fun(product_prod(arrow_411405190le_alt,
4.14/4.39	                                                    arrow_411405190le_alt),
4.14/4.39	                                       bool)),
4.14/4.39	                                combc(arrow_159774573e_indi,nat,bool,
4.14/4.39	                                      combb(nat,fun(nat,bool),
4.14/4.39	                                            arrow_159774573e_indi,
4.14/4.39	                                            ord_less(nat),h),
4.14/4.39	                                      n)),
4.14/4.39	                          combc(arrow_159774573e_indi,arrow_411405190le_alt,
4.14/4.39	                                fun(product_prod(arrow_411405190le_alt,
4.14/4.39	                                                 arrow_411405190le_alt),
4.14/4.39	                                    bool),
4.14/4.40	                                combb(fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                                       arrow_411405190le_alt),
4.14/4.40	                                          bool),
4.14/4.40	                                      fun(arrow_411405190le_alt,
4.14/4.40	                                          fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                                           arrow_411405190le_alt),
4.14/4.40	                                              bool)),
4.14/4.40	                                      arrow_159774573e_indi,
4.14/4.40	                                      arrow_424895264_mktop,p),
4.14/4.40	                                e)),
4.14/4.40	                    combs(arrow_159774573e_indi,
4.14/4.40	                          fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                           arrow_411405190le_alt),
4.14/4.40	                              bool),
4.14/4.40	                          fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                           arrow_411405190le_alt),
4.14/4.40	                              bool),
4.14/4.40	                          combs(arrow_159774573e_indi,
4.14/4.40	                                fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                                 arrow_411405190le_alt),
4.14/4.40	                                    bool),
4.14/4.40	                                fun(fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                                     arrow_411405190le_alt),
4.14/4.40	                                        bool),
4.14/4.40	                                    fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                                     arrow_411405190le_alt),
4.14/4.40	                                        bool)),
4.14/4.40	                                combb(bool,
4.14/4.40	                                      fun(fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                                           arrow_411405190le_alt),
4.14/4.40	                                              bool),
4.14/4.40	                                          fun(fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                                               arrow_411405190le_alt),
4.14/4.40	                                                  bool),
4.14/4.40	                                              fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                                               arrow_411405190le_alt),
4.14/4.40	                                                  bool))),
4.14/4.40	                                      arrow_159774573e_indi,
4.14/4.40	                                      if(fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                                          arrow_411405190le_alt),
4.14/4.40	                                             bool)),
4.14/4.40	                                      combc(arrow_159774573e_indi,nat,bool,
4.14/4.40	                                            combb(nat,fun(nat,bool),
4.14/4.40	                                                  arrow_159774573e_indi,
4.14/4.40	                                                  fequal(nat),h),
4.14/4.40	                                            n)),
4.14/4.40	                                combc(arrow_159774573e_indi,
4.14/4.40	                                      arrow_411405190le_alt,
4.14/4.40	                                      fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                                       arrow_411405190le_alt),
4.14/4.40	                                          bool),
4.14/4.40	                                      combc(arrow_159774573e_indi,
4.14/4.40	                                            arrow_411405190le_alt,
4.14/4.40	                                            fun(arrow_411405190le_alt,
4.14/4.40	                                                fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                                                 arrow_411405190le_alt),
4.14/4.40	                                                    bool)),
4.14/4.40	                                            combb(fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                                                   arrow_411405190le_alt),
4.14/4.40	                                                      bool),
4.14/4.40	                                                  fun(arrow_411405190le_alt,
4.14/4.40	                                                      fun(arrow_411405190le_alt,
4.14/4.40	                                                          fun(product_prod(
4.14/4.40	                                                              arrow_411405190le_alt,
4.14/4.40	                                                              arrow_411405190le_alt),
4.14/4.40	                                                              bool))),
4.14/4.40	                                                  arrow_159774573e_indi,
4.14/4.40	                                                  arrow_1158827142_above,p),
4.14/4.40	                                            c),
4.14/4.40	                                      e)),
4.14/4.40	                          combc(arrow_159774573e_indi,arrow_411405190le_alt,
4.14/4.40	                                fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                                 arrow_411405190le_alt),
4.14/4.40	                                    bool),
4.14/4.40	                                combb(fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                                       arrow_411405190le_alt),
4.14/4.40	                                          bool),
4.14/4.40	                                      fun(arrow_411405190le_alt,
4.14/4.40	                                          fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                                           arrow_411405190le_alt),
4.14/4.40	                                              bool)),
4.14/4.40	                                      arrow_159774573e_indi,
4.14/4.40	                                      arrow_276188178_mkbot,p),
4.14/4.40	                                e))))))).
4.14/4.40	tff('0', plain,
4.14/4.40	    ~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	        product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, c, e), 
4.14/4.40	        aa(
4.14/4.40	          fun(arrow_159774573e_indi, 
4.14/4.40	            fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	              bool)), 
4.14/4.40	          fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	            bool), f, 
4.14/4.40	          combs(arrow_159774573e_indi, 
4.14/4.40	            fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	              bool), 
4.14/4.40	            fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	              bool), 
4.14/4.40	            combs(arrow_159774573e_indi, 
4.14/4.40	              fun(
4.14/4.40	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                bool), 
4.14/4.40	              fun(
4.14/4.40	                fun(
4.14/4.40	                  product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                  bool), 
4.14/4.40	                fun(
4.14/4.40	                  product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                  bool)), 
4.14/4.40	              combb(bool, 
4.14/4.40	                fun(
4.14/4.40	                  fun(
4.14/4.40	                    product_prod(arrow_411405190le_alt, 
4.14/4.40	                      arrow_411405190le_alt), bool), 
4.14/4.40	                  fun(
4.14/4.40	                    fun(
4.14/4.40	                      product_prod(arrow_411405190le_alt, 
4.14/4.40	                        arrow_411405190le_alt), bool), 
4.14/4.40	                    fun(
4.14/4.40	                      product_prod(arrow_411405190le_alt, 
4.14/4.40	                        arrow_411405190le_alt), bool))), 
4.14/4.40	                arrow_159774573e_indi, 
4.14/4.40	                if(
4.14/4.40	                  fun(
4.14/4.40	                    product_prod(arrow_411405190le_alt, 
4.14/4.40	                      arrow_411405190le_alt), bool)), 
4.14/4.40	                combc(arrow_159774573e_indi, nat, bool, 
4.14/4.40	                  combb(nat, fun(nat, bool), arrow_159774573e_indi, 
4.14/4.40	                    ord_less(nat), h), n)), 
4.14/4.40	              combc(arrow_159774573e_indi, arrow_411405190le_alt, 
4.14/4.40	                fun(
4.14/4.40	                  product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                  bool), 
4.14/4.40	                combb(
4.14/4.40	                  fun(
4.14/4.40	                    product_prod(arrow_411405190le_alt, 
4.14/4.40	                      arrow_411405190le_alt), bool), 
4.14/4.40	                  fun(arrow_411405190le_alt, 
4.14/4.40	                    fun(
4.14/4.40	                      product_prod(arrow_411405190le_alt, 
4.14/4.40	                        arrow_411405190le_alt), bool)), 
4.14/4.40	                  arrow_159774573e_indi, arrow_424895264_mktop, p), e)), 
4.14/4.40	            combs(arrow_159774573e_indi, 
4.14/4.40	              fun(
4.14/4.40	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                bool), 
4.14/4.40	              fun(
4.14/4.40	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                bool), 
4.14/4.40	              combs(arrow_159774573e_indi, 
4.14/4.40	                fun(
4.14/4.40	                  product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                  bool), 
4.14/4.40	                fun(
4.14/4.40	                  fun(
4.14/4.40	                    product_prod(arrow_411405190le_alt, 
4.14/4.40	                      arrow_411405190le_alt), bool), 
4.14/4.40	                  fun(
4.14/4.40	                    product_prod(arrow_411405190le_alt, 
4.14/4.40	                      arrow_411405190le_alt), bool)), 
4.14/4.40	                combb(bool, 
4.14/4.40	                  fun(
4.14/4.40	                    fun(
4.14/4.40	                      product_prod(arrow_411405190le_alt, 
4.14/4.40	                        arrow_411405190le_alt), bool), 
4.14/4.40	                    fun(
4.14/4.40	                      fun(
4.14/4.40	                        product_prod(arrow_411405190le_alt, 
4.14/4.40	                          arrow_411405190le_alt), bool), 
4.14/4.40	                      fun(
4.14/4.40	                        product_prod(arrow_411405190le_alt, 
4.14/4.40	                          arrow_411405190le_alt), bool))), 
4.14/4.40	                  arrow_159774573e_indi, 
4.14/4.40	                  if(
4.14/4.40	                    fun(
4.14/4.40	                      product_prod(arrow_411405190le_alt, 
4.14/4.40	                        arrow_411405190le_alt), bool)), 
4.14/4.40	                  combc(arrow_159774573e_indi, nat, bool, 
4.14/4.40	                    combb(nat, fun(nat, bool), arrow_159774573e_indi, 
4.14/4.40	                      fequal(nat), h), n)), 
4.14/4.40	                combc(arrow_159774573e_indi, arrow_411405190le_alt, 
4.14/4.40	                  fun(
4.14/4.40	                    product_prod(arrow_411405190le_alt, 
4.14/4.40	                      arrow_411405190le_alt), bool), 
4.14/4.40	                  combc(arrow_159774573e_indi, arrow_411405190le_alt, 
4.14/4.40	                    fun(arrow_411405190le_alt, 
4.14/4.40	                      fun(
4.14/4.40	                        product_prod(arrow_411405190le_alt, 
4.14/4.40	                          arrow_411405190le_alt), bool)), 
4.14/4.40	                    combb(
4.14/4.40	                      fun(
4.14/4.40	                        product_prod(arrow_411405190le_alt, 
4.14/4.40	                          arrow_411405190le_alt), bool), 
4.14/4.40	                      fun(arrow_411405190le_alt, 
4.14/4.40	                        fun(arrow_411405190le_alt, 
4.14/4.40	                          fun(
4.14/4.40	                            product_prod(arrow_411405190le_alt, 
4.14/4.40	                              arrow_411405190le_alt), bool))), 
4.14/4.40	                      arrow_159774573e_indi, arrow_1158827142_above, p), c), 
4.14/4.40	                  e)), 
4.14/4.40	              combc(arrow_159774573e_indi, arrow_411405190le_alt, 
4.14/4.40	                fun(
4.14/4.40	                  product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                  bool), 
4.14/4.40	                combb(
4.14/4.40	                  fun(
4.14/4.40	                    product_prod(arrow_411405190le_alt, 
4.14/4.40	                      arrow_411405190le_alt), bool), 
4.14/4.40	                  fun(arrow_411405190le_alt, 
4.14/4.40	                    fun(
4.14/4.40	                      product_prod(arrow_411405190le_alt, 
4.14/4.40	                        arrow_411405190le_alt), bool)), 
4.14/4.40	                  arrow_159774573e_indi, arrow_276188178_mkbot, p), e))))),
4.14/4.40	    inference('cnf', [status(esa)], [zf_stmt_0])).
4.14/4.40	tff(fact_9__096_Ic_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amktop_A_IP_Ai_J_Ae_Aelse_Aif_Ah_Ai_A_061_An_Athen_Aabove_A_IP_Ai_J_Ac_Ae_Aelse_Amkbot_A_IP_Ai_J_Ae_J_092_060_094esub_062_Ae_J_A_061_Ia_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_A_L_A1_Athen_ALab_Aelse_ALba_J_092_060_094esub_062_Ab_J_096, axiom,
4.14/4.40	  (member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
4.14/4.40	          product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,c,e),
4.14/4.40	          aa(fun(arrow_159774573e_indi,
4.14/4.40	                 fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
4.14/4.40	                     bool)),
4.14/4.40	             fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
4.14/4.40	                 bool),
4.14/4.40	             f,
4.14/4.40	             combs(arrow_159774573e_indi,
4.14/4.40	                   fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                    arrow_411405190le_alt),
4.14/4.40	                       bool),
4.14/4.40	                   fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                    arrow_411405190le_alt),
4.14/4.40	                       bool),
4.14/4.40	                   combs(arrow_159774573e_indi,
4.14/4.40	                         fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                          arrow_411405190le_alt),
4.14/4.40	                             bool),
4.14/4.40	                         fun(fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                              arrow_411405190le_alt),
4.14/4.40	                                 bool),
4.14/4.40	                             fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                              arrow_411405190le_alt),
4.14/4.40	                                 bool)),
4.14/4.40	                         combb(bool,
4.14/4.40	                               fun(fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                                    arrow_411405190le_alt),
4.14/4.40	                                       bool),
4.14/4.40	                                   fun(fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                                        arrow_411405190le_alt),
4.14/4.40	                                           bool),
4.14/4.40	                                       fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                                        arrow_411405190le_alt),
4.14/4.40	                                           bool))),
4.14/4.40	                               arrow_159774573e_indi,
4.14/4.40	                               if(fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                                   arrow_411405190le_alt),
4.14/4.40	                                      bool)),
4.14/4.40	                               combc(arrow_159774573e_indi,nat,bool,
4.14/4.40	                                     combb(nat,fun(nat,bool),
4.14/4.40	                                           arrow_159774573e_indi,
4.14/4.40	                                           ord_less(nat),h),
4.14/4.40	                                     n)),
4.14/4.40	                         combc(arrow_159774573e_indi,arrow_411405190le_alt,
4.14/4.40	                               fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                                arrow_411405190le_alt),
4.14/4.40	                                   bool),
4.14/4.40	                               combb(fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                                      arrow_411405190le_alt),
4.14/4.40	                                         bool),
4.14/4.40	                                     fun(arrow_411405190le_alt,
4.14/4.40	                                         fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                                          arrow_411405190le_alt),
4.14/4.40	                                             bool)),
4.14/4.40	                                     arrow_159774573e_indi,
4.14/4.40	                                     arrow_424895264_mktop,p),
4.14/4.40	                               e)),
4.14/4.40	                   combs(arrow_159774573e_indi,
4.14/4.40	                         fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                          arrow_411405190le_alt),
4.14/4.40	                             bool),
4.14/4.40	                         fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                          arrow_411405190le_alt),
4.14/4.40	                             bool),
4.14/4.40	                         combs(arrow_159774573e_indi,
4.14/4.40	                               fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                                arrow_411405190le_alt),
4.14/4.40	                                   bool),
4.14/4.40	                               fun(fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                                    arrow_411405190le_alt),
4.14/4.40	                                       bool),
4.14/4.40	                                   fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                                    arrow_411405190le_alt),
4.14/4.40	                                       bool)),
4.14/4.40	                               combb(bool,
4.14/4.40	                                     fun(fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                                          arrow_411405190le_alt),
4.14/4.40	                                             bool),
4.14/4.40	                                         fun(fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                                              arrow_411405190le_alt),
4.14/4.40	                                                 bool),
4.14/4.40	                                             fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                                              arrow_411405190le_alt),
4.14/4.40	                                                 bool))),
4.14/4.40	                                     arrow_159774573e_indi,
4.14/4.40	                                     if(fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                                         arrow_411405190le_alt),
4.14/4.40	                                            bool)),
4.14/4.40	                                     combc(arrow_159774573e_indi,nat,bool,
4.14/4.40	                                           combb(nat,fun(nat,bool),
4.14/4.40	                                                 arrow_159774573e_indi,
4.14/4.40	                                                 fequal(nat),h),
4.14/4.40	                                           n)),
4.14/4.40	                               combc(arrow_159774573e_indi,
4.14/4.40	                                     arrow_411405190le_alt,
4.14/4.40	                                     fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                                      arrow_411405190le_alt),
4.14/4.40	                                         bool),
4.14/4.40	                                     combc(arrow_159774573e_indi,
4.14/4.40	                                           arrow_411405190le_alt,
4.14/4.40	                                           fun(arrow_411405190le_alt,
4.14/4.40	                                               fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                                                arrow_411405190le_alt),
4.14/4.40	                                                   bool)),
4.14/4.40	                                           combb(fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                                                  arrow_411405190le_alt),
4.14/4.40	                                                     bool),
4.14/4.40	                                                 fun(arrow_411405190le_alt,
4.14/4.40	                                                     fun(arrow_411405190le_alt,
4.14/4.40	                                                         fun(product_prod(
4.14/4.40	                                                             arrow_411405190le_alt,
4.14/4.40	                                                             arrow_411405190le_alt),
4.14/4.40	                                                             bool))),
4.14/4.40	                                                 arrow_159774573e_indi,
4.14/4.40	                                                 arrow_1158827142_above,p),
4.14/4.40	                                           c),
4.14/4.40	                                     e)),
4.14/4.40	                         combc(arrow_159774573e_indi,arrow_411405190le_alt,
4.14/4.40	                               fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                                arrow_411405190le_alt),
4.14/4.40	                                   bool),
4.14/4.40	                               combb(fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                                      arrow_411405190le_alt),
4.14/4.40	                                         bool),
4.14/4.40	                                     fun(arrow_411405190le_alt,
4.14/4.40	                                         fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                                          arrow_411405190le_alt),
4.14/4.40	                                             bool)),
4.14/4.40	                                     arrow_159774573e_indi,
4.14/4.40	                                     arrow_276188178_mkbot,p),
4.14/4.40	                               e))))) <=>
4.14/4.40	   member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
4.14/4.40	          product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),
4.14/4.40	          aa(fun(arrow_159774573e_indi,
4.14/4.40	                 fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
4.14/4.40	                     bool)),
4.14/4.40	             fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
4.14/4.40	                 bool),
4.14/4.40	             f,
4.14/4.40	             combc(arrow_159774573e_indi,
4.14/4.40	                   fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                    arrow_411405190le_alt),
4.14/4.40	                       bool),
4.14/4.40	                   fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                    arrow_411405190le_alt),
4.14/4.40	                       bool),
4.14/4.40	                   combc(arrow_159774573e_indi,
4.14/4.40	                         fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                          arrow_411405190le_alt),
4.14/4.40	                             bool),
4.14/4.40	                         fun(fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                              arrow_411405190le_alt),
4.14/4.40	                                 bool),
4.14/4.40	                             fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                              arrow_411405190le_alt),
4.14/4.40	                                 bool)),
4.14/4.40	                         combb(bool,
4.14/4.40	                               fun(fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                                    arrow_411405190le_alt),
4.14/4.40	                                       bool),
4.14/4.40	                                   fun(fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                                        arrow_411405190le_alt),
4.14/4.40	                                           bool),
4.14/4.40	                                       fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                                        arrow_411405190le_alt),
4.14/4.40	                                           bool))),
4.14/4.40	                               arrow_159774573e_indi,
4.14/4.40	                               if(fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                                   arrow_411405190le_alt),
4.14/4.40	                                      bool)),
4.14/4.40	                               combc(arrow_159774573e_indi,nat,bool,
4.14/4.40	                                     combb(nat,fun(nat,bool),
4.14/4.40	                                           arrow_159774573e_indi,
4.14/4.40	                                           ord_less(nat),h),
4.14/4.40	                                     plus_plus(nat,n,one_one(nat)))),
4.14/4.40	                         lab),
4.14/4.40	                   lba))))).
4.14/4.40	tff('1', plain,
4.14/4.40	    (member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	       product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, c, e), 
4.14/4.40	       aa(
4.14/4.40	         fun(arrow_159774573e_indi, 
4.14/4.40	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	             bool)), 
4.14/4.40	         fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	           bool), f, 
4.14/4.40	         combs(arrow_159774573e_indi, 
4.14/4.40	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	             bool), 
4.14/4.40	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	             bool), 
4.14/4.40	           combs(arrow_159774573e_indi, 
4.14/4.40	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	               bool), 
4.14/4.40	             fun(
4.14/4.40	               fun(
4.14/4.40	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                 bool), 
4.14/4.40	               fun(
4.14/4.40	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                 bool)), 
4.14/4.40	             combb(bool, 
4.14/4.40	               fun(
4.14/4.40	                 fun(
4.14/4.40	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                   bool), 
4.14/4.40	                 fun(
4.14/4.40	                   fun(
4.14/4.40	                     product_prod(arrow_411405190le_alt, 
4.14/4.40	                       arrow_411405190le_alt), bool), 
4.14/4.40	                   fun(
4.14/4.40	                     product_prod(arrow_411405190le_alt, 
4.14/4.40	                       arrow_411405190le_alt), bool))), 
4.14/4.40	               arrow_159774573e_indi, 
4.14/4.40	               if(
4.14/4.40	                 fun(
4.14/4.40	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                   bool)), 
4.14/4.40	               combc(arrow_159774573e_indi, nat, bool, 
4.14/4.40	                 combb(nat, fun(nat, bool), arrow_159774573e_indi, 
4.14/4.40	                   ord_less(nat), h), n)), 
4.14/4.40	             combc(arrow_159774573e_indi, arrow_411405190le_alt, 
4.14/4.40	               fun(
4.14/4.40	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                 bool), 
4.14/4.40	               combb(
4.14/4.40	                 fun(
4.14/4.40	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                   bool), 
4.14/4.40	                 fun(arrow_411405190le_alt, 
4.14/4.40	                   fun(
4.14/4.40	                     product_prod(arrow_411405190le_alt, 
4.14/4.40	                       arrow_411405190le_alt), bool)), 
4.14/4.40	                 arrow_159774573e_indi, arrow_424895264_mktop, p), e)), 
4.14/4.40	           combs(arrow_159774573e_indi, 
4.14/4.40	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	               bool), 
4.14/4.40	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	               bool), 
4.14/4.40	             combs(arrow_159774573e_indi, 
4.14/4.40	               fun(
4.14/4.40	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                 bool), 
4.14/4.40	               fun(
4.14/4.40	                 fun(
4.14/4.40	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                   bool), 
4.14/4.40	                 fun(
4.14/4.40	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                   bool)), 
4.14/4.40	               combb(bool, 
4.14/4.40	                 fun(
4.14/4.40	                   fun(
4.14/4.40	                     product_prod(arrow_411405190le_alt, 
4.14/4.40	                       arrow_411405190le_alt), bool), 
4.14/4.40	                   fun(
4.14/4.40	                     fun(
4.14/4.40	                       product_prod(arrow_411405190le_alt, 
4.14/4.40	                         arrow_411405190le_alt), bool), 
4.14/4.40	                     fun(
4.14/4.40	                       product_prod(arrow_411405190le_alt, 
4.14/4.40	                         arrow_411405190le_alt), bool))), 
4.14/4.40	                 arrow_159774573e_indi, 
4.14/4.40	                 if(
4.14/4.40	                   fun(
4.14/4.40	                     product_prod(arrow_411405190le_alt, 
4.14/4.40	                       arrow_411405190le_alt), bool)), 
4.14/4.40	                 combc(arrow_159774573e_indi, nat, bool, 
4.14/4.40	                   combb(nat, fun(nat, bool), arrow_159774573e_indi, 
4.14/4.40	                     fequal(nat), h), n)), 
4.14/4.40	               combc(arrow_159774573e_indi, arrow_411405190le_alt, 
4.14/4.40	                 fun(
4.14/4.40	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                   bool), 
4.14/4.40	                 combc(arrow_159774573e_indi, arrow_411405190le_alt, 
4.14/4.40	                   fun(arrow_411405190le_alt, 
4.14/4.40	                     fun(
4.14/4.40	                       product_prod(arrow_411405190le_alt, 
4.14/4.40	                         arrow_411405190le_alt), bool)), 
4.14/4.40	                   combb(
4.14/4.40	                     fun(
4.14/4.40	                       product_prod(arrow_411405190le_alt, 
4.14/4.40	                         arrow_411405190le_alt), bool), 
4.14/4.40	                     fun(arrow_411405190le_alt, 
4.14/4.40	                       fun(arrow_411405190le_alt, 
4.14/4.40	                         fun(
4.14/4.40	                           product_prod(arrow_411405190le_alt, 
4.14/4.40	                             arrow_411405190le_alt), bool))), 
4.14/4.40	                     arrow_159774573e_indi, arrow_1158827142_above, p), c), 
4.14/4.40	                 e)), 
4.14/4.40	             combc(arrow_159774573e_indi, arrow_411405190le_alt, 
4.14/4.40	               fun(
4.14/4.40	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                 bool), 
4.14/4.40	               combb(
4.14/4.40	                 fun(
4.14/4.40	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                   bool), 
4.14/4.40	                 fun(arrow_411405190le_alt, 
4.14/4.40	                   fun(
4.14/4.40	                     product_prod(arrow_411405190le_alt, 
4.14/4.40	                       arrow_411405190le_alt), bool)), 
4.14/4.40	                 arrow_159774573e_indi, arrow_276188178_mkbot, p), e)))))
4.14/4.40	     | ~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	           product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, a, b), 
4.14/4.40	           aa(
4.14/4.40	             fun(arrow_159774573e_indi, 
4.14/4.40	               fun(
4.14/4.40	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                 bool)), 
4.14/4.40	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	               bool), f, 
4.14/4.40	             combc(arrow_159774573e_indi, 
4.14/4.40	               fun(
4.14/4.40	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                 bool), 
4.14/4.40	               fun(
4.14/4.40	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                 bool), 
4.14/4.40	               combc(arrow_159774573e_indi, 
4.14/4.40	                 fun(
4.14/4.40	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                   bool), 
4.14/4.40	                 fun(
4.14/4.40	                   fun(
4.14/4.40	                     product_prod(arrow_411405190le_alt, 
4.14/4.40	                       arrow_411405190le_alt), bool), 
4.14/4.40	                   fun(
4.14/4.40	                     product_prod(arrow_411405190le_alt, 
4.14/4.40	                       arrow_411405190le_alt), bool)), 
4.14/4.40	                 combb(bool, 
4.14/4.40	                   fun(
4.14/4.40	                     fun(
4.14/4.40	                       product_prod(arrow_411405190le_alt, 
4.14/4.40	                         arrow_411405190le_alt), bool), 
4.14/4.40	                     fun(
4.14/4.40	                       fun(
4.14/4.40	                         product_prod(arrow_411405190le_alt, 
4.14/4.40	                           arrow_411405190le_alt), bool), 
4.14/4.40	                       fun(
4.14/4.40	                         product_prod(arrow_411405190le_alt, 
4.14/4.40	                           arrow_411405190le_alt), bool))), 
4.14/4.40	                   arrow_159774573e_indi, 
4.14/4.40	                   if(
4.14/4.40	                     fun(
4.14/4.40	                       product_prod(arrow_411405190le_alt, 
4.14/4.40	                         arrow_411405190le_alt), bool)), 
4.14/4.40	                   combc(arrow_159774573e_indi, nat, bool, 
4.14/4.40	                     combb(nat, fun(nat, bool), arrow_159774573e_indi, 
4.14/4.40	                       ord_less(nat), h), plus_plus(nat, n, one_one(nat)))), 
4.14/4.40	                 lab), lba)))),
4.14/4.40	    inference('cnf', [status(esa)],
4.14/4.40	              [fact_9__096_Ic_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amktop_A_IP_Ai_J_Ae_Aelse_Aif_Ah_Ai_A_061_An_Athen_Aabove_A_IP_Ai_J_Ac_Ae_Aelse_Amkbot_A_IP_Ai_J_Ae_J_092_060_094esub_062_Ae_J_A_061_Ia_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_A_L_A1_Athen_ALab_Aelse_ALba_J_092_060_094esub_062_Ab_J_096])).
4.14/4.40	tff(fact_8_n_I3_J, axiom,
4.14/4.40	  (member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
4.14/4.40	          product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),
4.14/4.40	          aa(fun(arrow_159774573e_indi,
4.14/4.40	                 fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
4.14/4.40	                     bool)),
4.14/4.40	             fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
4.14/4.40	                 bool),
4.14/4.40	             f,
4.14/4.40	             combc(arrow_159774573e_indi,
4.14/4.40	                   fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                    arrow_411405190le_alt),
4.14/4.40	                       bool),
4.14/4.40	                   fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                    arrow_411405190le_alt),
4.14/4.40	                       bool),
4.14/4.40	                   combc(arrow_159774573e_indi,
4.14/4.40	                         fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                          arrow_411405190le_alt),
4.14/4.40	                             bool),
4.14/4.40	                         fun(fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                              arrow_411405190le_alt),
4.14/4.40	                                 bool),
4.14/4.40	                             fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                              arrow_411405190le_alt),
4.14/4.40	                                 bool)),
4.14/4.40	                         combb(bool,
4.14/4.40	                               fun(fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                                    arrow_411405190le_alt),
4.14/4.40	                                       bool),
4.14/4.40	                                   fun(fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                                        arrow_411405190le_alt),
4.14/4.40	                                           bool),
4.14/4.40	                                       fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                                        arrow_411405190le_alt),
4.14/4.40	                                           bool))),
4.14/4.40	                               arrow_159774573e_indi,
4.14/4.40	                               if(fun(product_prod(arrow_411405190le_alt,
4.14/4.40	                                                   arrow_411405190le_alt),
4.14/4.40	                                      bool)),
4.14/4.40	                               combc(arrow_159774573e_indi,nat,bool,
4.14/4.40	                                     combb(nat,fun(nat,bool),
4.14/4.40	                                           arrow_159774573e_indi,
4.14/4.40	                                           ord_less(nat),h),
4.14/4.40	                                     plus_plus(nat,n,one_one(nat)))),
4.14/4.40	                         lab),
4.14/4.40	                   lba))))).
4.14/4.40	tff('2', plain,
4.14/4.40	    member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	      product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, a, b), 
4.14/4.40	      aa(
4.14/4.40	        fun(arrow_159774573e_indi, 
4.14/4.40	          fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	            bool)), 
4.14/4.40	        fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), bool), 
4.14/4.40	        f, 
4.14/4.40	        combc(arrow_159774573e_indi, 
4.14/4.40	          fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	            bool), 
4.14/4.40	          fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	            bool), 
4.14/4.40	          combc(arrow_159774573e_indi, 
4.14/4.40	            fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	              bool), 
4.14/4.40	            fun(
4.14/4.40	              fun(
4.14/4.40	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                bool), 
4.14/4.40	              fun(
4.14/4.40	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                bool)), 
4.14/4.40	            combb(bool, 
4.14/4.40	              fun(
4.14/4.40	                fun(
4.14/4.40	                  product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                  bool), 
4.14/4.40	                fun(
4.14/4.40	                  fun(
4.14/4.40	                    product_prod(arrow_411405190le_alt, 
4.14/4.40	                      arrow_411405190le_alt), bool), 
4.14/4.40	                  fun(
4.14/4.40	                    product_prod(arrow_411405190le_alt, 
4.14/4.40	                      arrow_411405190le_alt), bool))), 
4.14/4.40	              arrow_159774573e_indi, 
4.14/4.40	              if(
4.14/4.40	                fun(
4.14/4.40	                  product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                  bool)), 
4.14/4.40	              combc(arrow_159774573e_indi, nat, bool, 
4.14/4.40	                combb(nat, fun(nat, bool), arrow_159774573e_indi, 
4.14/4.40	                  ord_less(nat), h), plus_plus(nat, n, one_one(nat)))), lab), 
4.14/4.40	          lba))),
4.14/4.40	    inference('cnf', [status(esa)], [fact_8_n_I3_J])).
4.14/4.40	tff('3', plain,
4.14/4.40	    (member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	       product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, c, e), 
4.14/4.40	       aa(
4.14/4.40	         fun(arrow_159774573e_indi, 
4.14/4.40	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	             bool)), 
4.14/4.40	         fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	           bool), f, 
4.14/4.40	         combs(arrow_159774573e_indi, 
4.14/4.40	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	             bool), 
4.14/4.40	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	             bool), 
4.14/4.40	           combs(arrow_159774573e_indi, 
4.14/4.40	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	               bool), 
4.14/4.40	             fun(
4.14/4.40	               fun(
4.14/4.40	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                 bool), 
4.14/4.40	               fun(
4.14/4.40	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                 bool)), 
4.14/4.40	             combb(bool, 
4.14/4.40	               fun(
4.14/4.40	                 fun(
4.14/4.40	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                   bool), 
4.14/4.40	                 fun(
4.14/4.40	                   fun(
4.14/4.40	                     product_prod(arrow_411405190le_alt, 
4.14/4.40	                       arrow_411405190le_alt), bool), 
4.14/4.40	                   fun(
4.14/4.40	                     product_prod(arrow_411405190le_alt, 
4.14/4.40	                       arrow_411405190le_alt), bool))), 
4.14/4.40	               arrow_159774573e_indi, 
4.14/4.40	               if(
4.14/4.40	                 fun(
4.14/4.40	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                   bool)), 
4.14/4.40	               combc(arrow_159774573e_indi, nat, bool, 
4.14/4.40	                 combb(nat, fun(nat, bool), arrow_159774573e_indi, 
4.14/4.40	                   ord_less(nat), h), n)), 
4.14/4.40	             combc(arrow_159774573e_indi, arrow_411405190le_alt, 
4.14/4.40	               fun(
4.14/4.40	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                 bool), 
4.14/4.40	               combb(
4.14/4.40	                 fun(
4.14/4.40	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                   bool), 
4.14/4.40	                 fun(arrow_411405190le_alt, 
4.14/4.40	                   fun(
4.14/4.40	                     product_prod(arrow_411405190le_alt, 
4.14/4.40	                       arrow_411405190le_alt), bool)), 
4.14/4.40	                 arrow_159774573e_indi, arrow_424895264_mktop, p), e)), 
4.14/4.40	           combs(arrow_159774573e_indi, 
4.14/4.40	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	               bool), 
4.14/4.40	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	               bool), 
4.14/4.40	             combs(arrow_159774573e_indi, 
4.14/4.40	               fun(
4.14/4.40	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                 bool), 
4.14/4.40	               fun(
4.14/4.40	                 fun(
4.14/4.40	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                   bool), 
4.14/4.40	                 fun(
4.14/4.40	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                   bool)), 
4.14/4.40	               combb(bool, 
4.14/4.40	                 fun(
4.14/4.40	                   fun(
4.14/4.40	                     product_prod(arrow_411405190le_alt, 
4.14/4.40	                       arrow_411405190le_alt), bool), 
4.14/4.40	                   fun(
4.14/4.40	                     fun(
4.14/4.40	                       product_prod(arrow_411405190le_alt, 
4.14/4.40	                         arrow_411405190le_alt), bool), 
4.14/4.40	                     fun(
4.14/4.40	                       product_prod(arrow_411405190le_alt, 
4.14/4.40	                         arrow_411405190le_alt), bool))), 
4.14/4.40	                 arrow_159774573e_indi, 
4.14/4.40	                 if(
4.14/4.40	                   fun(
4.14/4.40	                     product_prod(arrow_411405190le_alt, 
4.14/4.40	                       arrow_411405190le_alt), bool)), 
4.14/4.40	                 combc(arrow_159774573e_indi, nat, bool, 
4.14/4.40	                   combb(nat, fun(nat, bool), arrow_159774573e_indi, 
4.14/4.40	                     fequal(nat), h), n)), 
4.14/4.40	               combc(arrow_159774573e_indi, arrow_411405190le_alt, 
4.14/4.40	                 fun(
4.14/4.40	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                   bool), 
4.14/4.40	                 combc(arrow_159774573e_indi, arrow_411405190le_alt, 
4.14/4.40	                   fun(arrow_411405190le_alt, 
4.14/4.40	                     fun(
4.14/4.40	                       product_prod(arrow_411405190le_alt, 
4.14/4.40	                         arrow_411405190le_alt), bool)), 
4.14/4.40	                   combb(
4.14/4.40	                     fun(
4.14/4.40	                       product_prod(arrow_411405190le_alt, 
4.14/4.40	                         arrow_411405190le_alt), bool), 
4.14/4.40	                     fun(arrow_411405190le_alt, 
4.14/4.40	                       fun(arrow_411405190le_alt, 
4.14/4.40	                         fun(
4.14/4.40	                           product_prod(arrow_411405190le_alt, 
4.14/4.40	                             arrow_411405190le_alt), bool))), 
4.14/4.40	                     arrow_159774573e_indi, arrow_1158827142_above, p), c), 
4.14/4.40	                 e)), 
4.14/4.40	             combc(arrow_159774573e_indi, arrow_411405190le_alt, 
4.14/4.40	               fun(
4.14/4.40	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                 bool), 
4.14/4.40	               combb(
4.14/4.40	                 fun(
4.14/4.40	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                   bool), 
4.14/4.40	                 fun(arrow_411405190le_alt, 
4.14/4.40	                   fun(
4.14/4.40	                     product_prod(arrow_411405190le_alt, 
4.14/4.40	                       arrow_411405190le_alt), bool)), 
4.14/4.40	                 arrow_159774573e_indi, arrow_276188178_mkbot, p), e)))))
4.14/4.40	     | ~ $true),
4.14/4.40	    inference('demod', [status(thm)], ['1', '2'])).
4.14/4.40	tff('4', plain,
4.14/4.40	    member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	      product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, c, e), 
4.14/4.40	      aa(
4.14/4.40	        fun(arrow_159774573e_indi, 
4.14/4.40	          fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	            bool)), 
4.14/4.40	        fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), bool), 
4.14/4.40	        f, 
4.14/4.40	        combs(arrow_159774573e_indi, 
4.14/4.40	          fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	            bool), 
4.14/4.40	          fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	            bool), 
4.14/4.40	          combs(arrow_159774573e_indi, 
4.14/4.40	            fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	              bool), 
4.14/4.40	            fun(
4.14/4.40	              fun(
4.14/4.40	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                bool), 
4.14/4.40	              fun(
4.14/4.40	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                bool)), 
4.14/4.40	            combb(bool, 
4.14/4.40	              fun(
4.14/4.40	                fun(
4.14/4.40	                  product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                  bool), 
4.14/4.40	                fun(
4.14/4.40	                  fun(
4.14/4.40	                    product_prod(arrow_411405190le_alt, 
4.14/4.40	                      arrow_411405190le_alt), bool), 
4.14/4.40	                  fun(
4.14/4.40	                    product_prod(arrow_411405190le_alt, 
4.14/4.40	                      arrow_411405190le_alt), bool))), 
4.14/4.40	              arrow_159774573e_indi, 
4.14/4.40	              if(
4.14/4.40	                fun(
4.14/4.40	                  product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                  bool)), 
4.14/4.40	              combc(arrow_159774573e_indi, nat, bool, 
4.14/4.40	                combb(nat, fun(nat, bool), arrow_159774573e_indi, 
4.14/4.40	                  ord_less(nat), h), n)), 
4.14/4.40	            combc(arrow_159774573e_indi, arrow_411405190le_alt, 
4.14/4.40	              fun(
4.14/4.40	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                bool), 
4.14/4.40	              combb(
4.14/4.40	                fun(
4.14/4.40	                  product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                  bool), 
4.14/4.40	                fun(arrow_411405190le_alt, 
4.14/4.40	                  fun(
4.14/4.40	                    product_prod(arrow_411405190le_alt, 
4.14/4.40	                      arrow_411405190le_alt), bool)), arrow_159774573e_indi, 
4.14/4.40	                arrow_424895264_mktop, p), e)), 
4.14/4.40	          combs(arrow_159774573e_indi, 
4.14/4.40	            fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	              bool), 
4.14/4.40	            fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	              bool), 
4.14/4.40	            combs(arrow_159774573e_indi, 
4.14/4.40	              fun(
4.14/4.40	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                bool), 
4.14/4.40	              fun(
4.14/4.40	                fun(
4.14/4.40	                  product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                  bool), 
4.14/4.40	                fun(
4.14/4.40	                  product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                  bool)), 
4.14/4.40	              combb(bool, 
4.14/4.40	                fun(
4.14/4.40	                  fun(
4.14/4.40	                    product_prod(arrow_411405190le_alt, 
4.14/4.40	                      arrow_411405190le_alt), bool), 
4.14/4.40	                  fun(
4.14/4.40	                    fun(
4.14/4.40	                      product_prod(arrow_411405190le_alt, 
4.14/4.40	                        arrow_411405190le_alt), bool), 
4.14/4.40	                    fun(
4.14/4.40	                      product_prod(arrow_411405190le_alt, 
4.14/4.40	                        arrow_411405190le_alt), bool))), 
4.14/4.40	                arrow_159774573e_indi, 
4.14/4.40	                if(
4.14/4.40	                  fun(
4.14/4.40	                    product_prod(arrow_411405190le_alt, 
4.14/4.40	                      arrow_411405190le_alt), bool)), 
4.14/4.40	                combc(arrow_159774573e_indi, nat, bool, 
4.14/4.40	                  combb(nat, fun(nat, bool), arrow_159774573e_indi, 
4.14/4.40	                    fequal(nat), h), n)), 
4.14/4.40	              combc(arrow_159774573e_indi, arrow_411405190le_alt, 
4.14/4.40	                fun(
4.14/4.40	                  product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                  bool), 
4.14/4.40	                combc(arrow_159774573e_indi, arrow_411405190le_alt, 
4.14/4.40	                  fun(arrow_411405190le_alt, 
4.14/4.40	                    fun(
4.14/4.40	                      product_prod(arrow_411405190le_alt, 
4.14/4.40	                        arrow_411405190le_alt), bool)), 
4.14/4.40	                  combb(
4.14/4.40	                    fun(
4.14/4.40	                      product_prod(arrow_411405190le_alt, 
4.14/4.40	                        arrow_411405190le_alt), bool), 
4.14/4.40	                    fun(arrow_411405190le_alt, 
4.14/4.40	                      fun(arrow_411405190le_alt, 
4.14/4.40	                        fun(
4.14/4.40	                          product_prod(arrow_411405190le_alt, 
4.14/4.40	                            arrow_411405190le_alt), bool))), 
4.14/4.40	                    arrow_159774573e_indi, arrow_1158827142_above, p), c), e)), 
4.14/4.40	            combc(arrow_159774573e_indi, arrow_411405190le_alt, 
4.14/4.40	              fun(
4.14/4.40	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                bool), 
4.14/4.40	              combb(
4.14/4.40	                fun(
4.14/4.40	                  product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
4.14/4.40	                  bool), 
4.14/4.40	                fun(arrow_411405190le_alt, 
4.14/4.40	                  fun(
4.14/4.40	                    product_prod(arrow_411405190le_alt, 
4.14/4.40	                      arrow_411405190le_alt), bool)), arrow_159774573e_indi, 
4.14/4.40	                arrow_276188178_mkbot, p), e))))),
4.14/4.40	    inference('simplify', [status(thm)], ['3'])).
4.14/4.40	tff('5', plain, ~ $true, inference('demod', [status(thm)], ['0', '4'])).
4.14/4.40	tff('6', plain, $false, inference('simplify', [status(thm)], ['5'])).
4.14/4.40	
4.14/4.40	% SZS output end Refutation
4.14/4.40	EOF
