0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : original
0.00/0.00	% Variant    : purification_ext
0.00/0.00	% Ordering    : rpo6
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   : n061.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 14:06:54 CST 2018
41.00/41.22	% done 1439 iterations in 41.020s
41.00/41.22	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
41.00/41.22	% SZS output start Refutation
41.00/41.22	tff(conj_0, conjecture,
41.00/41.22	  (member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
41.00/41.22	          aa(arrow_411405190le_alt,
41.00/41.22	             product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
41.00/41.22	             aa(arrow_411405190le_alt,
41.00/41.22	                fun(arrow_411405190le_alt,
41.00/41.22	                    product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),
41.00/41.22	                product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a1),
41.00/41.22	             b1),
41.00/41.22	          aa(fun(arrow_159774573e_indi,
41.00/41.22	                 fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
41.00/41.22	                     bool)),
41.00/41.22	             fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
41.00/41.22	                 bool),
41.00/41.22	             f,p1)) <=>
41.00/41.22	   member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
41.00/41.22	          aa(arrow_411405190le_alt,
41.00/41.22	             product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
41.00/41.22	             aa(arrow_411405190le_alt,
41.00/41.22	                fun(arrow_411405190le_alt,
41.00/41.22	                    product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),
41.00/41.22	                product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a),
41.00/41.22	             b),
41.00/41.22	          aa(fun(arrow_159774573e_indi,
41.00/41.22	                 fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
41.00/41.22	                     bool)),
41.00/41.22	             fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
41.00/41.22	                 bool),
41.00/41.22	             f,p)))).
41.00/41.22	tff(zf_stmt_0, negated_conjecture,
41.00/41.22	  (~
41.00/41.22	    (member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
41.00/41.22	            aa(arrow_411405190le_alt,
41.00/41.22	               product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
41.00/41.22	               aa(arrow_411405190le_alt,
41.00/41.22	                  fun(arrow_411405190le_alt,
41.00/41.22	                      product_prod(arrow_411405190le_alt,
41.00/41.22	                                   arrow_411405190le_alt)),
41.00/41.22	                  product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),
41.00/41.22	                  a1),
41.00/41.22	               b1),
41.00/41.22	            aa(fun(arrow_159774573e_indi,
41.00/41.22	                   fun(product_prod(arrow_411405190le_alt,
41.00/41.22	                                    arrow_411405190le_alt),
41.00/41.22	                       bool)),
41.00/41.22	               fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
41.00/41.22	                   bool),
41.00/41.22	               f,p1)) <=>
41.00/41.22	     member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
41.00/41.22	            aa(arrow_411405190le_alt,
41.00/41.22	               product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
41.00/41.22	               aa(arrow_411405190le_alt,
41.00/41.22	                  fun(arrow_411405190le_alt,
41.00/41.22	                      product_prod(arrow_411405190le_alt,
41.00/41.22	                                   arrow_411405190le_alt)),
41.00/41.22	                  product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a),
41.00/41.22	               b),
41.00/41.22	            aa(fun(arrow_159774573e_indi,
41.00/41.22	                   fun(product_prod(arrow_411405190le_alt,
41.00/41.22	                                    arrow_411405190le_alt),
41.00/41.22	                       bool)),
41.00/41.22	               fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
41.00/41.22	                   bool),
41.00/41.22	               f,p))))).
41.00/41.22	tff('0', plain,
41.00/41.22	    (member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	       aa(arrow_411405190le_alt, 
41.00/41.22	         product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	         aa(arrow_411405190le_alt, 
41.00/41.22	           fun(arrow_411405190le_alt, 
41.00/41.22	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
41.00/41.22	           product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a), b), 
41.00/41.22	       aa(
41.00/41.22	         fun(arrow_159774573e_indi, 
41.00/41.22	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	             bool)), 
41.00/41.22	         fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	           bool), f, p))
41.00/41.22	     | member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	         aa(arrow_411405190le_alt, 
41.00/41.22	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	           aa(arrow_411405190le_alt, 
41.00/41.22	             fun(arrow_411405190le_alt, 
41.00/41.22	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
41.00/41.22	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a1), 
41.00/41.22	           b1), 
41.00/41.22	         aa(
41.00/41.22	           fun(arrow_159774573e_indi, 
41.00/41.22	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	               bool)), 
41.00/41.22	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	             bool), f, p1))),
41.00/41.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
41.00/41.22	tff(fact_9__096a_A_061_Ab_H_A_G_Ab_A_061_Aa_H_061_061_062_A_Ia_A_060_092_060_094bsub_062F_AP_092_060_094esub_062_Ab_J_A_061_A_Ia_H_A_060_092_060_094bsub_062F_AP_H_092_060_094esub_062_Ab_H_J_096, axiom,
41.00/41.22	  (((b1 = a) & (a1 = b)) =>
41.00/41.22	   (member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
41.00/41.22	           aa(arrow_411405190le_alt,
41.00/41.22	              product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
41.00/41.22	              aa(arrow_411405190le_alt,
41.00/41.22	                 fun(arrow_411405190le_alt,
41.00/41.22	                     product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),
41.00/41.22	                 product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a1),
41.00/41.22	              b1),
41.00/41.22	           aa(fun(arrow_159774573e_indi,
41.00/41.22	                  fun(product_prod(arrow_411405190le_alt,
41.00/41.22	                                   arrow_411405190le_alt),
41.00/41.22	                      bool)),
41.00/41.22	              fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
41.00/41.22	                  bool),
41.00/41.22	              f,p1)) <=>
41.00/41.22	    member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
41.00/41.22	           aa(arrow_411405190le_alt,
41.00/41.22	              product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
41.00/41.22	              aa(arrow_411405190le_alt,
41.00/41.22	                 fun(arrow_411405190le_alt,
41.00/41.22	                     product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),
41.00/41.22	                 product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a),
41.00/41.22	              b),
41.00/41.22	           aa(fun(arrow_159774573e_indi,
41.00/41.22	                  fun(product_prod(arrow_411405190le_alt,
41.00/41.22	                                   arrow_411405190le_alt),
41.00/41.22	                      bool)),
41.00/41.22	              fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
41.00/41.22	                  bool),
41.00/41.22	              f,p))))).
41.00/41.22	tff('1', plain,
41.00/41.22	    (~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	         aa(arrow_411405190le_alt, 
41.00/41.22	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	           aa(arrow_411405190le_alt, 
41.00/41.22	             fun(arrow_411405190le_alt, 
41.00/41.22	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
41.00/41.22	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a), 
41.00/41.22	           b), 
41.00/41.22	         aa(
41.00/41.22	           fun(arrow_159774573e_indi, 
41.00/41.22	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	               bool)), 
41.00/41.22	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	             bool), f, p))
41.00/41.22	     | member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	         aa(arrow_411405190le_alt, 
41.00/41.22	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	           aa(arrow_411405190le_alt, 
41.00/41.22	             fun(arrow_411405190le_alt, 
41.00/41.22	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
41.00/41.22	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a1), 
41.00/41.22	           b1), 
41.00/41.22	         aa(
41.00/41.22	           fun(arrow_159774573e_indi, 
41.00/41.22	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	               bool)), 
41.00/41.22	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	             bool), f, p1))
41.00/41.22	     | a1 != b
41.00/41.22	     | b1 != a),
41.00/41.22	    inference('cnf', [status(esa)],
41.00/41.22	              [fact_9__096a_A_061_Ab_H_A_G_Ab_A_061_Aa_H_061_061_062_A_Ia_A_060_092_060_094bsub_062F_AP_092_060_094esub_062_Ab_J_A_061_A_Ia_H_A_060_092_060_094bsub_062F_AP_H_092_060_094esub_062_Ab_H_J_096])).
41.00/41.22	tff(fact_7__096a_A_126_061_Ab_H_A_G_Ab_A_061_Aa_H_061_061_062_A_Ia_A_060_092_060_094bsub_062F_AP_092_060_094esub_062_Ab_J_A_061_A_Ia_H_A_060_092_060_094bsub_062F_AP_H_092_060_094esub_062_Ab_H_J_096, axiom,
41.00/41.22	  (((b1 = a) & (a1 != b)) =>
41.00/41.22	   (member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
41.00/41.22	           aa(arrow_411405190le_alt,
41.00/41.22	              product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
41.00/41.22	              aa(arrow_411405190le_alt,
41.00/41.22	                 fun(arrow_411405190le_alt,
41.00/41.22	                     product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),
41.00/41.22	                 product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a1),
41.00/41.22	              b1),
41.00/41.22	           aa(fun(arrow_159774573e_indi,
41.00/41.22	                  fun(product_prod(arrow_411405190le_alt,
41.00/41.22	                                   arrow_411405190le_alt),
41.00/41.22	                      bool)),
41.00/41.22	              fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
41.00/41.22	                  bool),
41.00/41.22	              f,p1)) <=>
41.00/41.22	    member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
41.00/41.22	           aa(arrow_411405190le_alt,
41.00/41.22	              product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
41.00/41.22	              aa(arrow_411405190le_alt,
41.00/41.22	                 fun(arrow_411405190le_alt,
41.00/41.22	                     product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),
41.00/41.22	                 product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a),
41.00/41.22	              b),
41.00/41.22	           aa(fun(arrow_159774573e_indi,
41.00/41.22	                  fun(product_prod(arrow_411405190le_alt,
41.00/41.22	                                   arrow_411405190le_alt),
41.00/41.22	                      bool)),
41.00/41.22	              fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
41.00/41.22	                  bool),
41.00/41.22	              f,p))))).
41.00/41.22	tff('2', plain,
41.00/41.22	    (~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	         aa(arrow_411405190le_alt, 
41.00/41.22	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	           aa(arrow_411405190le_alt, 
41.00/41.22	             fun(arrow_411405190le_alt, 
41.00/41.22	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
41.00/41.22	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a), 
41.00/41.22	           b), 
41.00/41.22	         aa(
41.00/41.22	           fun(arrow_159774573e_indi, 
41.00/41.22	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	               bool)), 
41.00/41.22	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	             bool), f, p))
41.00/41.22	     | member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	         aa(arrow_411405190le_alt, 
41.00/41.22	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	           aa(arrow_411405190le_alt, 
41.00/41.22	             fun(arrow_411405190le_alt, 
41.00/41.22	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
41.00/41.22	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a1), 
41.00/41.22	           b1), 
41.00/41.22	         aa(
41.00/41.22	           fun(arrow_159774573e_indi, 
41.00/41.22	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	               bool)), 
41.00/41.22	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	             bool), f, p1))
41.00/41.22	     | a1 = b
41.00/41.22	     | b1 != a),
41.00/41.22	    inference('cnf', [status(esa)],
41.00/41.22	              [fact_7__096a_A_126_061_Ab_H_A_G_Ab_A_061_Aa_H_061_061_062_A_Ia_A_060_092_060_094bsub_062F_AP_092_060_094esub_062_Ab_J_A_061_A_Ia_H_A_060_092_060_094bsub_062F_AP_H_092_060_094esub_062_Ab_H_J_096])).
41.00/41.22	tff(fact_6__096a_A_126_061_Ab_H_A_G_Ab_A_126_061_Aa_H_061_061_062_A_Ia_A_060_092_060_094bsub_062F_AP_092_060_094esub_062_Ab_J_A_061_A_Ia_H_A_060_092_060_094bsub_062F_AP_H_092_060_094esub_062_Ab_H_J_096, axiom,
41.00/41.22	  (((b1 != a) & (a1 != b)) =>
41.00/41.22	   (member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
41.00/41.22	           aa(arrow_411405190le_alt,
41.00/41.22	              product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
41.00/41.22	              aa(arrow_411405190le_alt,
41.00/41.22	                 fun(arrow_411405190le_alt,
41.00/41.22	                     product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),
41.00/41.22	                 product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a1),
41.00/41.22	              b1),
41.00/41.22	           aa(fun(arrow_159774573e_indi,
41.00/41.22	                  fun(product_prod(arrow_411405190le_alt,
41.00/41.22	                                   arrow_411405190le_alt),
41.00/41.22	                      bool)),
41.00/41.22	              fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
41.00/41.22	                  bool),
41.00/41.22	              f,p1)) <=>
41.00/41.22	    member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
41.00/41.22	           aa(arrow_411405190le_alt,
41.00/41.22	              product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
41.00/41.22	              aa(arrow_411405190le_alt,
41.00/41.22	                 fun(arrow_411405190le_alt,
41.00/41.22	                     product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),
41.00/41.22	                 product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a),
41.00/41.22	              b),
41.00/41.22	           aa(fun(arrow_159774573e_indi,
41.00/41.22	                  fun(product_prod(arrow_411405190le_alt,
41.00/41.22	                                   arrow_411405190le_alt),
41.00/41.22	                      bool)),
41.00/41.22	              fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
41.00/41.22	                  bool),
41.00/41.22	              f,p))))).
41.00/41.22	tff('3', plain,
41.00/41.22	    (~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	         aa(arrow_411405190le_alt, 
41.00/41.22	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	           aa(arrow_411405190le_alt, 
41.00/41.22	             fun(arrow_411405190le_alt, 
41.00/41.22	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
41.00/41.22	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a), 
41.00/41.22	           b), 
41.00/41.22	         aa(
41.00/41.22	           fun(arrow_159774573e_indi, 
41.00/41.22	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	               bool)), 
41.00/41.22	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	             bool), f, p))
41.00/41.22	     | member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	         aa(arrow_411405190le_alt, 
41.00/41.22	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	           aa(arrow_411405190le_alt, 
41.00/41.22	             fun(arrow_411405190le_alt, 
41.00/41.22	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
41.00/41.22	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a1), 
41.00/41.22	           b1), 
41.00/41.22	         aa(
41.00/41.22	           fun(arrow_159774573e_indi, 
41.00/41.22	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	               bool)), 
41.00/41.22	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	             bool), f, p1))
41.00/41.22	     | a1 = b
41.00/41.22	     | b1 = a),
41.00/41.22	    inference('cnf', [status(esa)],
41.00/41.22	              [fact_6__096a_A_126_061_Ab_H_A_G_Ab_A_126_061_Aa_H_061_061_062_A_Ia_A_060_092_060_094bsub_062F_AP_092_060_094esub_062_Ab_J_A_061_A_Ia_H_A_060_092_060_094bsub_062F_AP_H_092_060_094esub_062_Ab_H_J_096])).
41.00/41.22	tff('4', plain,
41.00/41.22	    (a1 = b
41.00/41.22	     | member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	         aa(arrow_411405190le_alt, 
41.00/41.22	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	           aa(arrow_411405190le_alt, 
41.00/41.22	             fun(arrow_411405190le_alt, 
41.00/41.22	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
41.00/41.22	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a1), 
41.00/41.22	           b1), 
41.00/41.22	         aa(
41.00/41.22	           fun(arrow_159774573e_indi, 
41.00/41.22	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	               bool)), 
41.00/41.22	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	             bool), f, p1))
41.00/41.22	     | ~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	           aa(arrow_411405190le_alt, 
41.00/41.22	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	             aa(arrow_411405190le_alt, 
41.00/41.22	               fun(arrow_411405190le_alt, 
41.00/41.22	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
41.00/41.22	               product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a), 
41.00/41.22	             b), 
41.00/41.22	           aa(
41.00/41.22	             fun(arrow_159774573e_indi, 
41.00/41.22	               fun(
41.00/41.22	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	                 bool)), 
41.00/41.22	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	               bool), f, p))),
41.00/41.22	    inference('clc', [status(thm)], ['2', '3'])).
41.00/41.22	tff('5', plain,
41.00/41.22	    (b1 != a
41.00/41.22	     | member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	         aa(arrow_411405190le_alt, 
41.00/41.22	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	           aa(arrow_411405190le_alt, 
41.00/41.22	             fun(arrow_411405190le_alt, 
41.00/41.22	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
41.00/41.22	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a1), 
41.00/41.22	           b1), 
41.00/41.22	         aa(
41.00/41.22	           fun(arrow_159774573e_indi, 
41.00/41.22	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	               bool)), 
41.00/41.22	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	             bool), f, p1))
41.00/41.22	     | ~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	           aa(arrow_411405190le_alt, 
41.00/41.22	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	             aa(arrow_411405190le_alt, 
41.00/41.22	               fun(arrow_411405190le_alt, 
41.00/41.22	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
41.00/41.22	               product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a), 
41.00/41.22	             b), 
41.00/41.22	           aa(
41.00/41.22	             fun(arrow_159774573e_indi, 
41.00/41.22	               fun(
41.00/41.22	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	                 bool)), 
41.00/41.22	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	               bool), f, p))),
41.00/41.22	    inference('clc', [status(thm)], ['1', '4'])).
41.00/41.22	tff(fact_8__096a_A_061_Ab_H_A_G_Ab_A_126_061_Aa_H_061_061_062_A_Ia_A_060_092_060_094bsub_062F_AP_092_060_094esub_062_Ab_J_A_061_A_Ia_H_A_060_092_060_094bsub_062F_AP_H_092_060_094esub_062_Ab_H_J_096, axiom,
41.00/41.22	  (((b1 != a) & (a1 = b)) =>
41.00/41.22	   (member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
41.00/41.22	           aa(arrow_411405190le_alt,
41.00/41.22	              product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
41.00/41.22	              aa(arrow_411405190le_alt,
41.00/41.22	                 fun(arrow_411405190le_alt,
41.00/41.22	                     product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),
41.00/41.22	                 product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a1),
41.00/41.22	              b1),
41.00/41.22	           aa(fun(arrow_159774573e_indi,
41.00/41.22	                  fun(product_prod(arrow_411405190le_alt,
41.00/41.22	                                   arrow_411405190le_alt),
41.00/41.22	                      bool)),
41.00/41.22	              fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
41.00/41.22	                  bool),
41.00/41.22	              f,p1)) <=>
41.00/41.22	    member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
41.00/41.22	           aa(arrow_411405190le_alt,
41.00/41.22	              product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
41.00/41.22	              aa(arrow_411405190le_alt,
41.00/41.22	                 fun(arrow_411405190le_alt,
41.00/41.22	                     product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),
41.00/41.22	                 product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a),
41.00/41.22	              b),
41.00/41.22	           aa(fun(arrow_159774573e_indi,
41.00/41.22	                  fun(product_prod(arrow_411405190le_alt,
41.00/41.22	                                   arrow_411405190le_alt),
41.00/41.22	                      bool)),
41.00/41.22	              fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
41.00/41.22	                  bool),
41.00/41.22	              f,p))))).
41.00/41.22	tff('6', plain,
41.00/41.22	    (~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	         aa(arrow_411405190le_alt, 
41.00/41.22	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	           aa(arrow_411405190le_alt, 
41.00/41.22	             fun(arrow_411405190le_alt, 
41.00/41.22	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
41.00/41.22	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a), 
41.00/41.22	           b), 
41.00/41.22	         aa(
41.00/41.22	           fun(arrow_159774573e_indi, 
41.00/41.22	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	               bool)), 
41.00/41.22	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	             bool), f, p))
41.00/41.22	     | member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	         aa(arrow_411405190le_alt, 
41.00/41.22	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	           aa(arrow_411405190le_alt, 
41.00/41.22	             fun(arrow_411405190le_alt, 
41.00/41.22	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
41.00/41.22	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a1), 
41.00/41.22	           b1), 
41.00/41.22	         aa(
41.00/41.22	           fun(arrow_159774573e_indi, 
41.00/41.22	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	               bool)), 
41.00/41.22	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	             bool), f, p1))
41.00/41.22	     | a1 != b
41.00/41.22	     | b1 = a),
41.00/41.22	    inference('cnf', [status(esa)],
41.00/41.22	              [fact_8__096a_A_061_Ab_H_A_G_Ab_A_126_061_Aa_H_061_061_062_A_Ia_A_060_092_060_094bsub_062F_AP_092_060_094esub_062_Ab_J_A_061_A_Ia_H_A_060_092_060_094bsub_062F_AP_H_092_060_094esub_062_Ab_H_J_096])).
41.00/41.22	tff('7', plain,
41.00/41.22	    (b1 = a
41.00/41.22	     | member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	         aa(arrow_411405190le_alt, 
41.00/41.22	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	           aa(arrow_411405190le_alt, 
41.00/41.22	             fun(arrow_411405190le_alt, 
41.00/41.22	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
41.00/41.22	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a1), 
41.00/41.22	           b1), 
41.00/41.22	         aa(
41.00/41.22	           fun(arrow_159774573e_indi, 
41.00/41.22	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	               bool)), 
41.00/41.22	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	             bool), f, p1))
41.00/41.22	     | ~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	           aa(arrow_411405190le_alt, 
41.00/41.22	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	             aa(arrow_411405190le_alt, 
41.00/41.22	               fun(arrow_411405190le_alt, 
41.00/41.22	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
41.00/41.22	               product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a), 
41.00/41.22	             b), 
41.00/41.22	           aa(
41.00/41.22	             fun(arrow_159774573e_indi, 
41.00/41.22	               fun(
41.00/41.22	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	                 bool)), 
41.00/41.22	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	               bool), f, p))),
41.00/41.22	    inference('clc', [status(thm)], ['6', '4'])).
41.00/41.22	tff('8', plain,
41.00/41.22	    (~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	         aa(arrow_411405190le_alt, 
41.00/41.22	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	           aa(arrow_411405190le_alt, 
41.00/41.22	             fun(arrow_411405190le_alt, 
41.00/41.22	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
41.00/41.22	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a), 
41.00/41.22	           b), 
41.00/41.22	         aa(
41.00/41.22	           fun(arrow_159774573e_indi, 
41.00/41.22	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	               bool)), 
41.00/41.22	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	             bool), f, p))
41.00/41.22	     | member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	         aa(arrow_411405190le_alt, 
41.00/41.22	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	           aa(arrow_411405190le_alt, 
41.00/41.22	             fun(arrow_411405190le_alt, 
41.00/41.22	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
41.00/41.22	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a1), 
41.00/41.22	           b1), 
41.00/41.22	         aa(
41.00/41.22	           fun(arrow_159774573e_indi, 
41.00/41.22	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	               bool)), 
41.00/41.22	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	             bool), f, p1))),
41.00/41.22	    inference('clc', [status(thm)], ['5', '7'])).
41.00/41.22	tff('9', plain,
41.00/41.22	    member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	      aa(arrow_411405190le_alt, 
41.00/41.22	        product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	        aa(arrow_411405190le_alt, 
41.00/41.22	          fun(arrow_411405190le_alt, 
41.00/41.22	            product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
41.00/41.22	          product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a1), 
41.00/41.22	        b1), 
41.00/41.22	      aa(
41.00/41.22	        fun(arrow_159774573e_indi, 
41.00/41.22	          fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	            bool)), 
41.00/41.22	        fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), bool), 
41.00/41.22	        f, p1)),
41.00/41.22	    inference('clc', [status(thm)], ['0', '8'])).
41.00/41.22	tff('10', plain,
41.00/41.22	    (~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	         aa(arrow_411405190le_alt, 
41.00/41.22	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	           aa(arrow_411405190le_alt, 
41.00/41.22	             fun(arrow_411405190le_alt, 
41.00/41.22	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
41.00/41.22	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a1), 
41.00/41.22	           b1), 
41.00/41.22	         aa(
41.00/41.22	           fun(arrow_159774573e_indi, 
41.00/41.22	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	               bool)), 
41.00/41.22	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	             bool), f, p1))
41.00/41.22	     | member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	         aa(arrow_411405190le_alt, 
41.00/41.22	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	           aa(arrow_411405190le_alt, 
41.00/41.22	             fun(arrow_411405190le_alt, 
41.00/41.22	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
41.00/41.22	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a), 
41.00/41.22	           b), 
41.00/41.22	         aa(
41.00/41.22	           fun(arrow_159774573e_indi, 
41.00/41.22	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	               bool)), 
41.00/41.22	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	             bool), f, p))
41.00/41.22	     | a1 != b
41.00/41.22	     | b1 != a),
41.00/41.22	    inference('cnf', [status(esa)],
41.00/41.22	              [fact_9__096a_A_061_Ab_H_A_G_Ab_A_061_Aa_H_061_061_062_A_Ia_A_060_092_060_094bsub_062F_AP_092_060_094esub_062_Ab_J_A_061_A_Ia_H_A_060_092_060_094bsub_062F_AP_H_092_060_094esub_062_Ab_H_J_096])).
41.00/41.22	tff('11', plain,
41.00/41.22	    (~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	         aa(arrow_411405190le_alt, 
41.00/41.22	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	           aa(arrow_411405190le_alt, 
41.00/41.22	             fun(arrow_411405190le_alt, 
41.00/41.22	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
41.00/41.22	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a1), 
41.00/41.22	           b1), 
41.00/41.22	         aa(
41.00/41.22	           fun(arrow_159774573e_indi, 
41.00/41.22	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	               bool)), 
41.00/41.22	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	             bool), f, p1))
41.00/41.22	     | member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	         aa(arrow_411405190le_alt, 
41.00/41.22	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	           aa(arrow_411405190le_alt, 
41.00/41.22	             fun(arrow_411405190le_alt, 
41.00/41.22	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
41.00/41.22	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a), 
41.00/41.22	           b), 
41.00/41.22	         aa(
41.00/41.22	           fun(arrow_159774573e_indi, 
41.00/41.22	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	               bool)), 
41.00/41.22	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	             bool), f, p))
41.00/41.22	     | a1 = b
41.00/41.22	     | b1 != a),
41.00/41.22	    inference('cnf', [status(esa)],
41.00/41.22	              [fact_7__096a_A_126_061_Ab_H_A_G_Ab_A_061_Aa_H_061_061_062_A_Ia_A_060_092_060_094bsub_062F_AP_092_060_094esub_062_Ab_J_A_061_A_Ia_H_A_060_092_060_094bsub_062F_AP_H_092_060_094esub_062_Ab_H_J_096])).
41.00/41.22	tff('12', plain,
41.00/41.22	    (~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	         aa(arrow_411405190le_alt, 
41.00/41.22	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	           aa(arrow_411405190le_alt, 
41.00/41.22	             fun(arrow_411405190le_alt, 
41.00/41.22	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
41.00/41.22	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a1), 
41.00/41.22	           b1), 
41.00/41.22	         aa(
41.00/41.22	           fun(arrow_159774573e_indi, 
41.00/41.22	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	               bool)), 
41.00/41.22	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	             bool), f, p1))
41.00/41.22	     | member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	         aa(arrow_411405190le_alt, 
41.00/41.22	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	           aa(arrow_411405190le_alt, 
41.00/41.22	             fun(arrow_411405190le_alt, 
41.00/41.22	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
41.00/41.22	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a), 
41.00/41.22	           b), 
41.00/41.22	         aa(
41.00/41.22	           fun(arrow_159774573e_indi, 
41.00/41.22	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	               bool)), 
41.00/41.22	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	             bool), f, p))
41.00/41.22	     | a1 = b
41.00/41.22	     | b1 = a),
41.00/41.22	    inference('cnf', [status(esa)],
41.00/41.22	              [fact_6__096a_A_126_061_Ab_H_A_G_Ab_A_126_061_Aa_H_061_061_062_A_Ia_A_060_092_060_094bsub_062F_AP_092_060_094esub_062_Ab_J_A_061_A_Ia_H_A_060_092_060_094bsub_062F_AP_H_092_060_094esub_062_Ab_H_J_096])).
41.00/41.22	tff('13', plain,
41.00/41.22	    (a1 = b
41.00/41.22	     | member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	         aa(arrow_411405190le_alt, 
41.00/41.22	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	           aa(arrow_411405190le_alt, 
41.00/41.22	             fun(arrow_411405190le_alt, 
41.00/41.22	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
41.00/41.22	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a), 
41.00/41.22	           b), 
41.00/41.22	         aa(
41.00/41.22	           fun(arrow_159774573e_indi, 
41.00/41.22	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	               bool)), 
41.00/41.22	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	             bool), f, p))
41.00/41.22	     | ~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	           aa(arrow_411405190le_alt, 
41.00/41.22	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	             aa(arrow_411405190le_alt, 
41.00/41.22	               fun(arrow_411405190le_alt, 
41.00/41.22	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
41.00/41.22	               product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	               a1), b1), 
41.00/41.22	           aa(
41.00/41.22	             fun(arrow_159774573e_indi, 
41.00/41.22	               fun(
41.00/41.22	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	                 bool)), 
41.00/41.22	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	               bool), f, p1))),
41.00/41.22	    inference('clc', [status(thm)], ['11', '12'])).
41.00/41.22	tff('14', plain,
41.00/41.22	    (b1 != a
41.00/41.22	     | member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	         aa(arrow_411405190le_alt, 
41.00/41.22	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	           aa(arrow_411405190le_alt, 
41.00/41.22	             fun(arrow_411405190le_alt, 
41.00/41.22	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
41.00/41.22	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a), 
41.00/41.22	           b), 
41.00/41.22	         aa(
41.00/41.22	           fun(arrow_159774573e_indi, 
41.00/41.22	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	               bool)), 
41.00/41.22	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	             bool), f, p))
41.00/41.22	     | ~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	           aa(arrow_411405190le_alt, 
41.00/41.22	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	             aa(arrow_411405190le_alt, 
41.00/41.22	               fun(arrow_411405190le_alt, 
41.00/41.22	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
41.00/41.22	               product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	               a1), b1), 
41.00/41.22	           aa(
41.00/41.22	             fun(arrow_159774573e_indi, 
41.00/41.22	               fun(
41.00/41.22	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	                 bool)), 
41.00/41.22	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	               bool), f, p1))),
41.00/41.22	    inference('clc', [status(thm)], ['10', '13'])).
41.00/41.22	tff('15', plain,
41.00/41.22	    (~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	         aa(arrow_411405190le_alt, 
41.00/41.22	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	           aa(arrow_411405190le_alt, 
41.00/41.22	             fun(arrow_411405190le_alt, 
41.00/41.22	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
41.00/41.22	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a1), 
41.00/41.22	           b1), 
41.00/41.22	         aa(
41.00/41.22	           fun(arrow_159774573e_indi, 
41.00/41.22	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	               bool)), 
41.00/41.22	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	             bool), f, p1))
41.00/41.22	     | member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	         aa(arrow_411405190le_alt, 
41.00/41.22	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	           aa(arrow_411405190le_alt, 
41.00/41.22	             fun(arrow_411405190le_alt, 
41.00/41.22	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
41.00/41.22	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a), 
41.00/41.22	           b), 
41.00/41.22	         aa(
41.00/41.22	           fun(arrow_159774573e_indi, 
41.00/41.22	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	               bool)), 
41.00/41.22	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	             bool), f, p))
41.00/41.22	     | a1 != b
41.00/41.22	     | b1 = a),
41.00/41.22	    inference('cnf', [status(esa)],
41.00/41.22	              [fact_8__096a_A_061_Ab_H_A_G_Ab_A_126_061_Aa_H_061_061_062_A_Ia_A_060_092_060_094bsub_062F_AP_092_060_094esub_062_Ab_J_A_061_A_Ia_H_A_060_092_060_094bsub_062F_AP_H_092_060_094esub_062_Ab_H_J_096])).
41.00/41.22	tff('16', plain,
41.00/41.22	    (b1 = a
41.00/41.22	     | member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	         aa(arrow_411405190le_alt, 
41.00/41.22	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	           aa(arrow_411405190le_alt, 
41.00/41.22	             fun(arrow_411405190le_alt, 
41.00/41.22	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
41.00/41.22	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a), 
41.00/41.22	           b), 
41.00/41.22	         aa(
41.00/41.22	           fun(arrow_159774573e_indi, 
41.00/41.22	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	               bool)), 
41.00/41.22	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	             bool), f, p))
41.00/41.22	     | ~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	           aa(arrow_411405190le_alt, 
41.00/41.22	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	             aa(arrow_411405190le_alt, 
41.00/41.22	               fun(arrow_411405190le_alt, 
41.00/41.22	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
41.00/41.22	               product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	               a1), b1), 
41.00/41.22	           aa(
41.00/41.22	             fun(arrow_159774573e_indi, 
41.00/41.22	               fun(
41.00/41.22	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	                 bool)), 
41.00/41.22	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	               bool), f, p1))),
41.00/41.22	    inference('clc', [status(thm)], ['15', '13'])).
41.00/41.22	tff('17', plain,
41.00/41.22	    (~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	         aa(arrow_411405190le_alt, 
41.00/41.22	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	           aa(arrow_411405190le_alt, 
41.00/41.22	             fun(arrow_411405190le_alt, 
41.00/41.22	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
41.00/41.22	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a1), 
41.00/41.22	           b1), 
41.00/41.22	         aa(
41.00/41.22	           fun(arrow_159774573e_indi, 
41.00/41.22	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	               bool)), 
41.00/41.22	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	             bool), f, p1))
41.00/41.22	     | member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	         aa(arrow_411405190le_alt, 
41.00/41.22	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	           aa(arrow_411405190le_alt, 
41.00/41.22	             fun(arrow_411405190le_alt, 
41.00/41.22	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
41.00/41.22	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a), 
41.00/41.22	           b), 
41.00/41.22	         aa(
41.00/41.22	           fun(arrow_159774573e_indi, 
41.00/41.22	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	               bool)), 
41.00/41.22	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	             bool), f, p))),
41.00/41.22	    inference('clc', [status(thm)], ['14', '16'])).
41.00/41.22	tff('18', plain,
41.00/41.22	    (~ $true
41.00/41.22	     | member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	         aa(arrow_411405190le_alt, 
41.00/41.22	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	           aa(arrow_411405190le_alt, 
41.00/41.22	             fun(arrow_411405190le_alt, 
41.00/41.22	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
41.00/41.22	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a), 
41.00/41.22	           b), 
41.00/41.22	         aa(
41.00/41.22	           fun(arrow_159774573e_indi, 
41.00/41.22	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	               bool)), 
41.00/41.22	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	             bool), f, p))),
41.00/41.22	    inference('sup-', [status(thm)], ['9', '17'])).
41.00/41.22	tff('19', plain,
41.00/41.22	    member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	      aa(arrow_411405190le_alt, 
41.00/41.22	        product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	        aa(arrow_411405190le_alt, 
41.00/41.22	          fun(arrow_411405190le_alt, 
41.00/41.22	            product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
41.00/41.22	          product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a), b), 
41.00/41.22	      aa(
41.00/41.22	        fun(arrow_159774573e_indi, 
41.00/41.22	          fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	            bool)), 
41.00/41.22	        fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), bool), 
41.00/41.22	        f, p)),
41.00/41.22	    inference('simplify', [status(thm)], ['18'])).
41.00/41.22	tff('20', plain,
41.00/41.22	    (~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	         aa(arrow_411405190le_alt, 
41.00/41.22	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	           aa(arrow_411405190le_alt, 
41.00/41.22	             fun(arrow_411405190le_alt, 
41.00/41.22	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
41.00/41.22	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a), 
41.00/41.22	           b), 
41.00/41.22	         aa(
41.00/41.22	           fun(arrow_159774573e_indi, 
41.00/41.22	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	               bool)), 
41.00/41.22	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	             bool), f, p))
41.00/41.22	     | ~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	           aa(arrow_411405190le_alt, 
41.00/41.22	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	             aa(arrow_411405190le_alt, 
41.00/41.22	               fun(arrow_411405190le_alt, 
41.00/41.22	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
41.00/41.22	               product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	               a1), b1), 
41.00/41.22	           aa(
41.00/41.22	             fun(arrow_159774573e_indi, 
41.00/41.22	               fun(
41.00/41.22	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	                 bool)), 
41.00/41.22	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	               bool), f, p1))),
41.00/41.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
41.00/41.22	tff('21', plain,
41.00/41.22	    (~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	         aa(arrow_411405190le_alt, 
41.00/41.22	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	           aa(arrow_411405190le_alt, 
41.00/41.22	             fun(arrow_411405190le_alt, 
41.00/41.22	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
41.00/41.22	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a), 
41.00/41.22	           b), 
41.00/41.22	         aa(
41.00/41.22	           fun(arrow_159774573e_indi, 
41.00/41.22	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	               bool)), 
41.00/41.22	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	             bool), f, p))
41.00/41.22	     | ~ $true),
41.00/41.22	    inference('demod', [status(thm)], ['20', '9'])).
41.00/41.22	tff('22', plain,
41.00/41.22	    ~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	        aa(arrow_411405190le_alt, 
41.00/41.22	          product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	          aa(arrow_411405190le_alt, 
41.00/41.22	            fun(arrow_411405190le_alt, 
41.00/41.22	              product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
41.00/41.22	            product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a), 
41.00/41.22	          b), 
41.00/41.22	        aa(
41.00/41.22	          fun(arrow_159774573e_indi, 
41.00/41.22	            fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	              bool)), 
41.00/41.22	          fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
41.00/41.22	            bool), f, p)),
41.00/41.22	    inference('simplify', [status(thm)], ['21'])).
41.00/41.22	tff('23', plain, ~ $true, inference('sup-', [status(thm)], ['19', '22'])).
41.00/41.22	tff('24', plain, $false, inference('simplify', [status(thm)], ['23'])).
41.00/41.22	
41.00/41.22	% SZS output end Refutation
41.00/41.23	EOF
