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_int
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 int \
0.00/0.00	  --ho-no-ext-pos \
0.00/0.00	  --ho-no-ext-neg \
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   : n071.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
51.71/51.99	% done 2758 iterations in 51.786s
51.71/51.99	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
51.71/51.99	% SZS output start Refutation
51.81/51.99	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,
51.81/51.99	  (member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
51.81/51.99	          product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),
51.81/51.99	          aa(fun(arrow_159774573e_indi,
51.81/51.99	                 fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
51.81/51.99	                     bool)),
51.81/51.99	             fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
51.81/51.99	                 bool),
51.81/51.99	             f,
51.81/51.99	             comp(fun(product_prod(arrow_411405190le_alt,
51.81/51.99	                                   arrow_411405190le_alt),
51.81/51.99	                      bool),
51.81/51.99	                  fun(product_prod(arrow_411405190le_alt,
51.81/51.99	                                   arrow_411405190le_alt),
51.81/51.99	                      bool),
51.81/51.99	                  arrow_159774573e_indi,
51.81/51.99	                  converse(arrow_411405190le_alt,arrow_411405190le_alt),p1))) <=>
51.81/51.99	   member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
51.81/51.99	          product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,c),
51.81/51.99	          aa(fun(arrow_159774573e_indi,
51.81/51.99	                 fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
51.81/51.99	                     bool)),
51.81/51.99	             fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
51.81/51.99	                 bool),
51.81/51.99	             f,p)))).
51.81/51.99	tff('0', plain,
51.81/51.99	    (member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	       product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, b, a), 
51.81/51.99	       aa(
51.81/51.99	         fun(arrow_159774573e_indi, 
51.81/51.99	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	             bool)), 
51.81/51.99	         fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	           bool), f, 
51.81/51.99	         comp(
51.81/51.99	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	             bool), 
51.81/51.99	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	             bool), arrow_159774573e_indi, 
51.81/51.99	           converse(arrow_411405190le_alt, arrow_411405190le_alt), p1)))
51.81/51.99	     | ~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	           product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, b, c), 
51.81/51.99	           aa(
51.81/51.99	             fun(arrow_159774573e_indi, 
51.81/51.99	               fun(
51.81/51.99	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	                 bool)), 
51.81/51.99	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	               bool), f, p))),
51.81/51.99	    inference('cnf', [status(esa)],
51.81/51.99	              [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])).
51.81/51.99	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,
51.81/51.99	  (member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
51.81/51.99	          product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),
51.81/51.99	          aa(fun(arrow_159774573e_indi,
51.81/51.99	                 fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
51.81/51.99	                     bool)),
51.81/51.99	             fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
51.81/51.99	                 bool),
51.81/51.99	             f,p1)) <=>
51.81/51.99	   member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
51.81/51.99	          product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,a),
51.81/51.99	          aa(fun(arrow_159774573e_indi,
51.81/51.99	                 fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
51.81/51.99	                     bool)),
51.81/51.99	             fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
51.81/51.99	                 bool),
51.81/51.99	             f,
51.81/51.99	             comp(fun(product_prod(arrow_411405190le_alt,
51.81/51.99	                                   arrow_411405190le_alt),
51.81/51.99	                      bool),
51.81/51.99	                  fun(product_prod(arrow_411405190le_alt,
51.81/51.99	                                   arrow_411405190le_alt),
51.81/51.99	                      bool),
51.81/51.99	                  arrow_159774573e_indi,
51.81/51.99	                  converse(arrow_411405190le_alt,arrow_411405190le_alt),p1))))).
51.81/51.99	tff('1', plain,
51.81/51.99	    (member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	       product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, a, b), 
51.81/51.99	       aa(
51.81/51.99	         fun(arrow_159774573e_indi, 
51.81/51.99	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	             bool)), 
51.81/51.99	         fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	           bool), f, p1))
51.81/51.99	     | ~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	           product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, b, a), 
51.81/51.99	           aa(
51.81/51.99	             fun(arrow_159774573e_indi, 
51.81/51.99	               fun(
51.81/51.99	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	                 bool)), 
51.81/51.99	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	               bool), f, 
51.81/51.99	             comp(
51.81/51.99	               fun(
51.81/51.99	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	                 bool), 
51.81/51.99	               fun(
51.81/51.99	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	                 bool), arrow_159774573e_indi, 
51.81/51.99	               converse(arrow_411405190le_alt, arrow_411405190le_alt), p1)))),
51.81/51.99	    inference('cnf', [status(esa)],
51.81/51.99	              [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])).
51.81/51.99	tff('2', plain,
51.81/51.99	    (~ $true
51.81/51.99	     | ~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	           product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, b, c), 
51.81/51.99	           aa(
51.81/51.99	             fun(arrow_159774573e_indi, 
51.81/51.99	               fun(
51.81/51.99	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	                 bool)), 
51.81/51.99	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	               bool), f, p))
51.81/51.99	     | member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	         product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, a, b), 
51.81/51.99	         aa(
51.81/51.99	           fun(arrow_159774573e_indi, 
51.81/51.99	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	               bool)), 
51.81/51.99	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	             bool), f, p1))),
51.81/51.99	    inference('sup-', [status(thm)], ['0', '1'])).
51.81/51.99	tff('3', plain,
51.81/51.99	    (member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	       product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, a, b), 
51.81/51.99	       aa(
51.81/51.99	         fun(arrow_159774573e_indi, 
51.81/51.99	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	             bool)), 
51.81/51.99	         fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	           bool), f, p1))
51.81/51.99	     | ~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	           product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, b, c), 
51.81/51.99	           aa(
51.81/51.99	             fun(arrow_159774573e_indi, 
51.81/51.99	               fun(
51.81/51.99	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	                 bool)), 
51.81/51.99	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	               bool), f, p))),
51.81/51.99	    inference('simplify', [status(thm)], ['2'])).
51.81/51.99	tff(conj_0, conjecture,
51.81/51.99	  (member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
51.81/51.99	          product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),
51.81/51.99	          aa(fun(arrow_159774573e_indi,
51.81/51.99	                 fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
51.81/51.99	                     bool)),
51.81/51.99	             fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
51.81/51.99	                 bool),
51.81/51.99	             f,p1)) <=>
51.81/51.99	   member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
51.81/51.99	          product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,c),
51.81/51.99	          aa(fun(arrow_159774573e_indi,
51.81/51.99	                 fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
51.81/51.99	                     bool)),
51.81/51.99	             fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
51.81/51.99	                 bool),
51.81/51.99	             f,p)))).
51.81/51.99	tff(zf_stmt_0, negated_conjecture,
51.81/51.99	  (~
51.81/51.99	    (member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
51.81/51.99	            product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,a,b),
51.81/51.99	            aa(fun(arrow_159774573e_indi,
51.81/51.99	                   fun(product_prod(arrow_411405190le_alt,
51.81/51.99	                                    arrow_411405190le_alt),
51.81/51.99	                       bool)),
51.81/51.99	               fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
51.81/51.99	                   bool),
51.81/51.99	               f,p1)) <=>
51.81/51.99	     member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
51.81/51.99	            product_Pair(arrow_411405190le_alt,arrow_411405190le_alt,b,c),
51.81/51.99	            aa(fun(arrow_159774573e_indi,
51.81/51.99	                   fun(product_prod(arrow_411405190le_alt,
51.81/51.99	                                    arrow_411405190le_alt),
51.81/51.99	                       bool)),
51.81/51.99	               fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
51.81/51.99	                   bool),
51.81/51.99	               f,p))))).
51.81/51.99	tff('4', plain,
51.81/51.99	    (member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	       product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, b, c), 
51.81/51.99	       aa(
51.81/51.99	         fun(arrow_159774573e_indi, 
51.81/51.99	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	             bool)), 
51.81/51.99	         fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	           bool), f, p))
51.81/51.99	     | member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	         product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, a, b), 
51.81/51.99	         aa(
51.81/51.99	           fun(arrow_159774573e_indi, 
51.81/51.99	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	               bool)), 
51.81/51.99	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	             bool), f, p1))),
51.81/51.99	    inference('cnf', [status(esa)], [zf_stmt_0])).
51.81/51.99	tff('5', plain,
51.81/51.99	    (member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	       product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, b, a), 
51.81/51.99	       aa(
51.81/51.99	         fun(arrow_159774573e_indi, 
51.81/51.99	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	             bool)), 
51.81/51.99	         fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	           bool), f, 
51.81/51.99	         comp(
51.81/51.99	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	             bool), 
51.81/51.99	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	             bool), arrow_159774573e_indi, 
51.81/51.99	           converse(arrow_411405190le_alt, arrow_411405190le_alt), p1)))
51.81/51.99	     | ~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	           product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, a, b), 
51.81/51.99	           aa(
51.81/51.99	             fun(arrow_159774573e_indi, 
51.81/51.99	               fun(
51.81/51.99	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	                 bool)), 
51.81/51.99	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	               bool), f, p1))),
51.81/51.99	    inference('cnf', [status(esa)],
51.81/51.99	              [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])).
51.81/51.99	tff('6', plain,
51.81/51.99	    (member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	       product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, b, c), 
51.81/51.99	       aa(
51.81/51.99	         fun(arrow_159774573e_indi, 
51.81/51.99	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	             bool)), 
51.81/51.99	         fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	           bool), f, p))
51.81/51.99	     | ~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	           product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, b, a), 
51.81/51.99	           aa(
51.81/51.99	             fun(arrow_159774573e_indi, 
51.81/51.99	               fun(
51.81/51.99	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	                 bool)), 
51.81/51.99	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	               bool), f, 
51.81/51.99	             comp(
51.81/51.99	               fun(
51.81/51.99	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	                 bool), 
51.81/51.99	               fun(
51.81/51.99	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	                 bool), arrow_159774573e_indi, 
51.81/51.99	               converse(arrow_411405190le_alt, arrow_411405190le_alt), p1)))),
51.81/51.99	    inference('cnf', [status(esa)],
51.81/51.99	              [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])).
51.81/51.99	tff('7', plain,
51.81/51.99	    (~ $true
51.81/51.99	     | ~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	           product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, a, b), 
51.81/51.99	           aa(
51.81/51.99	             fun(arrow_159774573e_indi, 
51.81/51.99	               fun(
51.81/51.99	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	                 bool)), 
51.81/51.99	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	               bool), f, p1))
51.81/51.99	     | member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	         product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, b, c), 
51.81/51.99	         aa(
51.81/51.99	           fun(arrow_159774573e_indi, 
51.81/51.99	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	               bool)), 
51.81/51.99	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	             bool), f, p))),
51.81/51.99	    inference('sup-', [status(thm)], ['5', '6'])).
51.81/51.99	tff('8', plain,
51.81/51.99	    (member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	       product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, b, c), 
51.81/51.99	       aa(
51.81/51.99	         fun(arrow_159774573e_indi, 
51.81/51.99	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	             bool)), 
51.81/51.99	         fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	           bool), f, p))
51.81/51.99	     | ~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	           product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, a, b), 
51.81/51.99	           aa(
51.81/51.99	             fun(arrow_159774573e_indi, 
51.81/51.99	               fun(
51.81/51.99	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	                 bool)), 
51.81/51.99	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	               bool), f, p1))),
51.81/51.99	    inference('simplify', [status(thm)], ['7'])).
51.81/51.99	tff('9', plain,
51.81/51.99	    (~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	         product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, b, c), 
51.81/51.99	         aa(
51.81/51.99	           fun(arrow_159774573e_indi, 
51.81/51.99	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	               bool)), 
51.81/51.99	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	             bool), f, p))
51.81/51.99	     | ~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	           product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, a, b), 
51.81/51.99	           aa(
51.81/51.99	             fun(arrow_159774573e_indi, 
51.81/51.99	               fun(
51.81/51.99	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	                 bool)), 
51.81/51.99	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	               bool), f, p1))),
51.81/51.99	    inference('cnf', [status(esa)], [zf_stmt_0])).
51.81/51.99	tff('10', plain,
51.81/51.99	    ~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	        product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, a, b), 
51.81/51.99	        aa(
51.81/51.99	          fun(arrow_159774573e_indi, 
51.81/51.99	            fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	              bool)), 
51.81/51.99	          fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	            bool), f, p1)),
51.81/51.99	    inference('clc', [status(thm)], ['8', '9'])).
51.81/51.99	tff('11', plain,
51.81/51.99	    (~ $true
51.81/51.99	     | member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	         product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, b, c), 
51.81/51.99	         aa(
51.81/51.99	           fun(arrow_159774573e_indi, 
51.81/51.99	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	               bool)), 
51.81/51.99	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	             bool), f, p))),
51.81/51.99	    inference('sup-', [status(thm)], ['4', '10'])).
51.81/51.99	tff('12', plain,
51.81/51.99	    member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	      product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, b, c), 
51.81/51.99	      aa(
51.81/51.99	        fun(arrow_159774573e_indi, 
51.81/51.99	          fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	            bool)), 
51.81/51.99	        fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), bool), 
51.81/51.99	        f, p)),
51.81/51.99	    inference('simplify', [status(thm)], ['11'])).
51.81/51.99	tff('13', plain,
51.81/51.99	    (member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	       product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, a, b), 
51.81/51.99	       aa(
51.81/51.99	         fun(arrow_159774573e_indi, 
51.81/51.99	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	             bool)), 
51.81/51.99	         fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	           bool), f, p1))
51.81/51.99	     | ~ $true),
51.81/51.99	    inference('demod', [status(thm)], ['3', '12'])).
51.81/51.99	tff('14', plain,
51.81/51.99	    member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	      product_Pair(arrow_411405190le_alt, arrow_411405190le_alt, a, b), 
51.81/51.99	      aa(
51.81/51.99	        fun(arrow_159774573e_indi, 
51.81/51.99	          fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
51.81/51.99	            bool)), 
51.81/51.99	        fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), bool), 
51.81/51.99	        f, p1)),
51.81/51.99	    inference('simplify', [status(thm)], ['13'])).
51.81/51.99	tff('15', plain, ~ $true, inference('sup-', [status(thm)], ['14', '10'])).
51.81/51.99	tff('16', plain, $false, inference('simplify', [status(thm)], ['15'])).
51.81/51.99	
51.81/51.99	% SZS output end Refutation
51.81/52.00	EOF
