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
0.00/0.20	% Computer   : n124.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 14:01:24 CST 2018
97.11/97.31	% done 2989 iterations in 97.102s
97.11/97.31	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
97.11/97.31	% SZS output start Refutation
97.11/97.31	tff(fact_9__096_Ib_A_060_092_060_094bsub_062F_A_Iconverse_Ao_AP_J_092_060_094esub_062_Aa_J_A_061_A_Ib_A_060_092_060_094bsub_062F_AP_H_092_060_094esub_062_Ac_J_096, axiom,
97.11/97.31	  (member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
97.11/97.31	          product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),
97.11/97.31	          aa(fun(arrow_159774573e_indi,
97.11/97.31	                 fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
97.11/97.31	                     bool)),
97.11/97.31	             fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
97.11/97.31	                 bool),
97.11/97.31	             f,
97.11/97.31	             comp(fun(product_prod(arrow_411405190le_alt,
97.11/97.31	                                   arrow_411405190le_alt),
97.11/97.31	                      bool),
97.11/97.31	                  fun(product_prod(arrow_411405190le_alt,
97.11/97.31	                                   arrow_411405190le_alt),
97.11/97.31	                      bool),
97.11/97.31	                  arrow_159774573e_indi,
97.11/97.31	                  converse(arrow_411405190le_alt,arrow_411405190le_alt),p1))) <=>
97.11/97.31	   member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
97.11/97.31	          product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,c),
97.11/97.31	          aa(fun(arrow_159774573e_indi,
97.11/97.31	                 fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
97.11/97.31	                     bool)),
97.11/97.31	             fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
97.11/97.31	                 bool),
97.11/97.31	             f,p)))).
97.11/97.31	tff('0', plain,
97.11/97.31	    (member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	       product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, b, a), 
97.11/97.31	       aa(
97.11/97.31	         fun(arrow_159774573e_indi, 
97.11/97.31	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	             bool)), 
97.11/97.31	         fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	           bool), f, 
97.11/97.31	         comp(
97.11/97.31	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	             bool), 
97.11/97.31	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	             bool), arrow_159774573e_indi, 
97.11/97.31	           converse(arrow_411405190le_alt, arrow_411405190le_alt), p1)))
97.11/97.31	     | ~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	           product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, b, c), 
97.11/97.31	           aa(
97.11/97.31	             fun(arrow_159774573e_indi, 
97.11/97.31	               fun(
97.11/97.31	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	                 bool)), 
97.11/97.31	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	               bool), f, p))),
97.11/97.31	    inference('cnf', [status(esa)],
97.11/97.31	              [fact_9__096_Ib_A_060_092_060_094bsub_062F_A_Iconverse_Ao_AP_J_092_060_094esub_062_Aa_J_A_061_A_Ib_A_060_092_060_094bsub_062F_AP_H_092_060_094esub_062_Ac_J_096])).
97.11/97.31	tff(fact_7__096_Ia_A_060_092_060_094bsub_062F_AP_092_060_094esub_062_Ab_J_A_061_A_Ib_A_060_092_060_094bsub_062F_A_Iconverse_Ao_AP_J_092_060_094esub_062_Aa_J_096, axiom,
97.11/97.31	  (member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
97.11/97.31	          product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),
97.11/97.31	          aa(fun(arrow_159774573e_indi,
97.11/97.31	                 fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
97.11/97.31	                     bool)),
97.11/97.31	             fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
97.11/97.31	                 bool),
97.11/97.31	             f,p1)) <=>
97.11/97.31	   member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
97.11/97.31	          product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),
97.11/97.31	          aa(fun(arrow_159774573e_indi,
97.11/97.31	                 fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
97.11/97.31	                     bool)),
97.11/97.31	             fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
97.11/97.31	                 bool),
97.11/97.31	             f,
97.11/97.31	             comp(fun(product_prod(arrow_411405190le_alt,
97.11/97.31	                                   arrow_411405190le_alt),
97.11/97.31	                      bool),
97.11/97.31	                  fun(product_prod(arrow_411405190le_alt,
97.11/97.31	                                   arrow_411405190le_alt),
97.11/97.31	                      bool),
97.11/97.31	                  arrow_159774573e_indi,
97.11/97.31	                  converse(arrow_411405190le_alt,arrow_411405190le_alt),p1))))).
97.11/97.31	tff('1', plain,
97.11/97.31	    (member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	       product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, a, b), 
97.11/97.31	       aa(
97.11/97.31	         fun(arrow_159774573e_indi, 
97.11/97.31	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	             bool)), 
97.11/97.31	         fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	           bool), f, p1))
97.11/97.31	     | ~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	           product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, b, a), 
97.11/97.31	           aa(
97.11/97.31	             fun(arrow_159774573e_indi, 
97.11/97.31	               fun(
97.11/97.31	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	                 bool)), 
97.11/97.31	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	               bool), f, 
97.11/97.31	             comp(
97.11/97.31	               fun(
97.11/97.31	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	                 bool), 
97.11/97.31	               fun(
97.11/97.31	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	                 bool), arrow_159774573e_indi, 
97.11/97.31	               converse(arrow_411405190le_alt, arrow_411405190le_alt), p1)))),
97.11/97.31	    inference('cnf', [status(esa)],
97.11/97.31	              [fact_7__096_Ia_A_060_092_060_094bsub_062F_AP_092_060_094esub_062_Ab_J_A_061_A_Ib_A_060_092_060_094bsub_062F_A_Iconverse_Ao_AP_J_092_060_094esub_062_Aa_J_096])).
97.11/97.31	tff('2', plain,
97.11/97.31	    (~ $true
97.11/97.31	     | ~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	           product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, b, c), 
97.11/97.31	           aa(
97.11/97.31	             fun(arrow_159774573e_indi, 
97.11/97.31	               fun(
97.11/97.31	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	                 bool)), 
97.11/97.31	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	               bool), f, p))
97.11/97.31	     | member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	         product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, a, b), 
97.11/97.31	         aa(
97.11/97.31	           fun(arrow_159774573e_indi, 
97.11/97.31	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	               bool)), 
97.11/97.31	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	             bool), f, p1))),
97.11/97.31	    inference('sup-', [status(thm)], ['0', '1'])).
97.11/97.31	tff('3', plain,
97.11/97.31	    (member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	       product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, a, b), 
97.11/97.31	       aa(
97.11/97.31	         fun(arrow_159774573e_indi, 
97.11/97.31	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	             bool)), 
97.11/97.31	         fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	           bool), f, p1))
97.11/97.31	     | ~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	           product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, b, c), 
97.11/97.31	           aa(
97.11/97.31	             fun(arrow_159774573e_indi, 
97.11/97.31	               fun(
97.11/97.31	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	                 bool)), 
97.11/97.31	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	               bool), f, p))),
97.11/97.31	    inference('simplify', [status(thm)], ['2'])).
97.11/97.31	tff(conj_0, conjecture,
97.11/97.31	  (member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
97.11/97.31	          product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),
97.11/97.31	          aa(fun(arrow_159774573e_indi,
97.11/97.31	                 fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
97.11/97.31	                     bool)),
97.11/97.31	             fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
97.11/97.31	                 bool),
97.11/97.31	             f,p1)) <=>
97.11/97.31	   member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
97.11/97.31	          product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,c),
97.11/97.31	          aa(fun(arrow_159774573e_indi,
97.11/97.31	                 fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
97.11/97.31	                     bool)),
97.11/97.31	             fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
97.11/97.31	                 bool),
97.11/97.31	             f,p)))).
97.11/97.31	tff(zf_stmt_0, negated_conjecture,
97.11/97.31	  (~
97.11/97.31	    (member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
97.11/97.31	            product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),
97.11/97.31	            aa(fun(arrow_159774573e_indi,
97.11/97.31	                   fun(product_prod(arrow_411405190le_alt,
97.11/97.31	                                    arrow_411405190le_alt),
97.11/97.31	                       bool)),
97.11/97.31	               fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
97.11/97.31	                   bool),
97.11/97.31	               f,p1)) <=>
97.11/97.31	     member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
97.11/97.31	            product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,c),
97.11/97.31	            aa(fun(arrow_159774573e_indi,
97.11/97.31	                   fun(product_prod(arrow_411405190le_alt,
97.11/97.31	                                    arrow_411405190le_alt),
97.11/97.31	                       bool)),
97.11/97.31	               fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
97.11/97.31	                   bool),
97.11/97.31	               f,p))))).
97.11/97.31	tff('4', plain,
97.11/97.31	    (member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	       product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, b, c), 
97.11/97.31	       aa(
97.11/97.31	         fun(arrow_159774573e_indi, 
97.11/97.31	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	             bool)), 
97.11/97.31	         fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	           bool), f, p))
97.11/97.31	     | member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	         product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, a, b), 
97.11/97.31	         aa(
97.11/97.31	           fun(arrow_159774573e_indi, 
97.11/97.31	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	               bool)), 
97.11/97.31	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	             bool), f, p1))),
97.11/97.31	    inference('cnf', [status(esa)], [zf_stmt_0])).
97.11/97.31	tff('5', plain,
97.11/97.31	    (member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	       product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, b, a), 
97.11/97.31	       aa(
97.11/97.31	         fun(arrow_159774573e_indi, 
97.11/97.31	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	             bool)), 
97.11/97.31	         fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	           bool), f, 
97.11/97.31	         comp(
97.11/97.31	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	             bool), 
97.11/97.31	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	             bool), arrow_159774573e_indi, 
97.11/97.31	           converse(arrow_411405190le_alt, arrow_411405190le_alt), p1)))
97.11/97.31	     | ~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	           product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, a, b), 
97.11/97.31	           aa(
97.11/97.31	             fun(arrow_159774573e_indi, 
97.11/97.31	               fun(
97.11/97.31	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	                 bool)), 
97.11/97.31	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	               bool), f, p1))),
97.11/97.31	    inference('cnf', [status(esa)],
97.11/97.31	              [fact_7__096_Ia_A_060_092_060_094bsub_062F_AP_092_060_094esub_062_Ab_J_A_061_A_Ib_A_060_092_060_094bsub_062F_A_Iconverse_Ao_AP_J_092_060_094esub_062_Aa_J_096])).
97.11/97.31	tff('6', plain,
97.11/97.31	    (member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	       product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, b, c), 
97.11/97.31	       aa(
97.11/97.31	         fun(arrow_159774573e_indi, 
97.11/97.31	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	             bool)), 
97.11/97.31	         fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	           bool), f, p))
97.11/97.31	     | ~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	           product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, b, a), 
97.11/97.31	           aa(
97.11/97.31	             fun(arrow_159774573e_indi, 
97.11/97.31	               fun(
97.11/97.31	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	                 bool)), 
97.11/97.31	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	               bool), f, 
97.11/97.31	             comp(
97.11/97.31	               fun(
97.11/97.31	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	                 bool), 
97.11/97.31	               fun(
97.11/97.31	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	                 bool), arrow_159774573e_indi, 
97.11/97.31	               converse(arrow_411405190le_alt, arrow_411405190le_alt), p1)))),
97.11/97.31	    inference('cnf', [status(esa)],
97.11/97.31	              [fact_9__096_Ib_A_060_092_060_094bsub_062F_A_Iconverse_Ao_AP_J_092_060_094esub_062_Aa_J_A_061_A_Ib_A_060_092_060_094bsub_062F_AP_H_092_060_094esub_062_Ac_J_096])).
97.11/97.31	tff('7', plain,
97.11/97.31	    (~ $true
97.11/97.31	     | ~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	           product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, a, b), 
97.11/97.31	           aa(
97.11/97.31	             fun(arrow_159774573e_indi, 
97.11/97.31	               fun(
97.11/97.31	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	                 bool)), 
97.11/97.31	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	               bool), f, p1))
97.11/97.31	     | member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	         product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, b, c), 
97.11/97.31	         aa(
97.11/97.31	           fun(arrow_159774573e_indi, 
97.11/97.31	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	               bool)), 
97.11/97.31	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	             bool), f, p))),
97.11/97.31	    inference('sup-', [status(thm)], ['5', '6'])).
97.11/97.31	tff('8', plain,
97.11/97.31	    (member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	       product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, b, c), 
97.11/97.31	       aa(
97.11/97.31	         fun(arrow_159774573e_indi, 
97.11/97.31	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	             bool)), 
97.11/97.31	         fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	           bool), f, p))
97.11/97.31	     | ~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	           product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, a, b), 
97.11/97.31	           aa(
97.11/97.31	             fun(arrow_159774573e_indi, 
97.11/97.31	               fun(
97.11/97.31	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	                 bool)), 
97.11/97.31	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	               bool), f, p1))),
97.11/97.31	    inference('simplify', [status(thm)], ['7'])).
97.11/97.31	tff('9', plain,
97.11/97.31	    (~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	         product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, b, c), 
97.11/97.31	         aa(
97.11/97.31	           fun(arrow_159774573e_indi, 
97.11/97.31	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	               bool)), 
97.11/97.31	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	             bool), f, p))
97.11/97.31	     | ~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	           product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, a, b), 
97.11/97.31	           aa(
97.11/97.31	             fun(arrow_159774573e_indi, 
97.11/97.31	               fun(
97.11/97.31	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	                 bool)), 
97.11/97.31	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	               bool), f, p1))),
97.11/97.31	    inference('cnf', [status(esa)], [zf_stmt_0])).
97.11/97.31	tff('10', plain,
97.11/97.31	    ~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	        product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, a, b), 
97.11/97.31	        aa(
97.11/97.31	          fun(arrow_159774573e_indi, 
97.11/97.31	            fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	              bool)), 
97.11/97.31	          fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	            bool), f, p1)),
97.11/97.31	    inference('clc', [status(thm)], ['8', '9'])).
97.11/97.31	tff('11', plain,
97.11/97.31	    (~ $true
97.11/97.31	     | member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	         product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, b, c), 
97.11/97.31	         aa(
97.11/97.31	           fun(arrow_159774573e_indi, 
97.11/97.31	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	               bool)), 
97.11/97.31	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	             bool), f, p))),
97.11/97.31	    inference('sup-', [status(thm)], ['4', '10'])).
97.11/97.31	tff('12', plain,
97.11/97.31	    member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	      product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, b, c), 
97.11/97.31	      aa(
97.11/97.31	        fun(arrow_159774573e_indi, 
97.11/97.31	          fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	            bool)), 
97.11/97.31	        fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), bool), 
97.11/97.31	        f, p)),
97.11/97.31	    inference('simplify', [status(thm)], ['11'])).
97.11/97.31	tff('13', plain,
97.11/97.31	    (member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	       product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, a, b), 
97.11/97.31	       aa(
97.11/97.31	         fun(arrow_159774573e_indi, 
97.11/97.31	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	             bool)), 
97.11/97.31	         fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	           bool), f, p1))
97.11/97.31	     | ~ $true),
97.11/97.31	    inference('demod', [status(thm)], ['3', '12'])).
97.11/97.31	tff('14', plain,
97.11/97.31	    member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	      product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, a, b), 
97.11/97.31	      aa(
97.11/97.31	        fun(arrow_159774573e_indi, 
97.11/97.31	          fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
97.11/97.31	            bool)), 
97.11/97.31	        fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), bool), 
97.11/97.31	        f, p1)),
97.11/97.31	    inference('simplify', [status(thm)], ['13'])).
97.11/97.31	tff('15', plain, ~ $true, inference('sup-', [status(thm)], ['14', '10'])).
97.11/97.31	tff('16', plain, $false, inference('simplify', [status(thm)], ['15'])).
97.11/97.31	
97.11/97.31	% SZS output end Refutation
97.11/97.32	EOF
