0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : original
0.00/0.01	% Variant    : fo
0.00/0.01	% Ordering    : kbo
0.00/0.01	% Command    : 
0.00/0.01	#!/bin/sh
0.00/0.01	
0.00/0.01	./zipperposition.native ${1:+"$1"} \
0.00/0.01	  -i tptp \
0.00/0.01	  -o tptp \
0.00/0.01	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.01	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.01	  --no-ho \
0.00/0.01	  --no-avatar \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n049.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 14:06:54 CST 2018
15.67/15.87	% done 1283 iterations in 15.665s
15.67/15.87	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
15.67/15.87	% SZS output start Refutation
15.67/15.87	tff(conj_0, conjecture,
15.67/15.87	  (member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
15.67/15.87	          aa(arrow_411405190le_alt,
15.67/15.87	             product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
15.67/15.87	             aa(arrow_411405190le_alt,
15.67/15.87	                fun(arrow_411405190le_alt,
15.67/15.87	                    product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),
15.67/15.87	                product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a1),
15.67/15.87	             b1),
15.67/15.87	          aa(fun(arrow_159774573e_indi,
15.67/15.87	                 fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
15.67/15.87	                     bool)),
15.67/15.87	             fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
15.67/15.87	                 bool),
15.67/15.87	             f,p1)) <=>
15.67/15.87	   member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
15.67/15.87	          aa(arrow_411405190le_alt,
15.67/15.87	             product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
15.67/15.87	             aa(arrow_411405190le_alt,
15.67/15.87	                fun(arrow_411405190le_alt,
15.67/15.87	                    product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),
15.67/15.87	                product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a),
15.67/15.87	             b),
15.67/15.87	          aa(fun(arrow_159774573e_indi,
15.67/15.87	                 fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
15.67/15.87	                     bool)),
15.67/15.87	             fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
15.67/15.87	                 bool),
15.67/15.87	             f,p)))).
15.67/15.87	tff(zf_stmt_0, negated_conjecture,
15.67/15.87	  (~
15.67/15.87	    (member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
15.67/15.87	            aa(arrow_411405190le_alt,
15.67/15.87	               product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
15.67/15.87	               aa(arrow_411405190le_alt,
15.67/15.87	                  fun(arrow_411405190le_alt,
15.67/15.87	                      product_prod(arrow_411405190le_alt,
15.67/15.87	                                   arrow_411405190le_alt)),
15.67/15.87	                  product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),
15.67/15.87	                  a1),
15.67/15.87	               b1),
15.67/15.87	            aa(fun(arrow_159774573e_indi,
15.67/15.87	                   fun(product_prod(arrow_411405190le_alt,
15.67/15.87	                                    arrow_411405190le_alt),
15.67/15.87	                       bool)),
15.67/15.87	               fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
15.67/15.87	                   bool),
15.67/15.87	               f,p1)) <=>
15.67/15.87	     member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
15.67/15.87	            aa(arrow_411405190le_alt,
15.67/15.87	               product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
15.67/15.87	               aa(arrow_411405190le_alt,
15.67/15.87	                  fun(arrow_411405190le_alt,
15.67/15.87	                      product_prod(arrow_411405190le_alt,
15.67/15.87	                                   arrow_411405190le_alt)),
15.67/15.87	                  product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a),
15.67/15.87	               b),
15.67/15.87	            aa(fun(arrow_159774573e_indi,
15.67/15.87	                   fun(product_prod(arrow_411405190le_alt,
15.67/15.87	                                    arrow_411405190le_alt),
15.67/15.87	                       bool)),
15.67/15.87	               fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
15.67/15.87	                   bool),
15.67/15.87	               f,p))))).
15.67/15.87	tff('0', plain,
15.67/15.87	    (member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	       aa(arrow_411405190le_alt, 
15.67/15.87	         product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	         aa(arrow_411405190le_alt, 
15.67/15.87	           fun(arrow_411405190le_alt, 
15.67/15.87	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.67/15.87	           product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a), b), 
15.67/15.87	       aa(
15.67/15.87	         fun(arrow_159774573e_indi, 
15.67/15.87	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	             bool)), 
15.67/15.87	         fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	           bool), f, p))
15.67/15.87	     | member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	         aa(arrow_411405190le_alt, 
15.67/15.87	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	           aa(arrow_411405190le_alt, 
15.67/15.87	             fun(arrow_411405190le_alt, 
15.67/15.87	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.67/15.87	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a1), 
15.67/15.87	           b1), 
15.67/15.87	         aa(
15.67/15.87	           fun(arrow_159774573e_indi, 
15.67/15.87	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	               bool)), 
15.67/15.87	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	             bool), f, p1))),
15.67/15.87	    inference('cnf', [status(esa)], [zf_stmt_0])).
15.67/15.87	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,
15.67/15.87	  (((b1 = a) & (a1 = b)) =>
15.67/15.87	   (member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
15.67/15.87	           aa(arrow_411405190le_alt,
15.67/15.87	              product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
15.67/15.87	              aa(arrow_411405190le_alt,
15.67/15.87	                 fun(arrow_411405190le_alt,
15.67/15.87	                     product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),
15.67/15.87	                 product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a1),
15.67/15.87	              b1),
15.67/15.87	           aa(fun(arrow_159774573e_indi,
15.67/15.87	                  fun(product_prod(arrow_411405190le_alt,
15.67/15.87	                                   arrow_411405190le_alt),
15.67/15.87	                      bool)),
15.67/15.87	              fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
15.67/15.87	                  bool),
15.67/15.87	              f,p1)) <=>
15.67/15.87	    member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
15.67/15.87	           aa(arrow_411405190le_alt,
15.67/15.87	              product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
15.67/15.87	              aa(arrow_411405190le_alt,
15.67/15.87	                 fun(arrow_411405190le_alt,
15.67/15.87	                     product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),
15.67/15.87	                 product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a),
15.67/15.87	              b),
15.67/15.87	           aa(fun(arrow_159774573e_indi,
15.67/15.87	                  fun(product_prod(arrow_411405190le_alt,
15.67/15.87	                                   arrow_411405190le_alt),
15.67/15.87	                      bool)),
15.67/15.87	              fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
15.67/15.87	                  bool),
15.67/15.87	              f,p))))).
15.67/15.87	tff('1', plain,
15.67/15.87	    (~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	         aa(arrow_411405190le_alt, 
15.67/15.87	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	           aa(arrow_411405190le_alt, 
15.67/15.87	             fun(arrow_411405190le_alt, 
15.67/15.87	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.67/15.87	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a), 
15.67/15.87	           b), 
15.67/15.87	         aa(
15.67/15.87	           fun(arrow_159774573e_indi, 
15.67/15.87	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	               bool)), 
15.67/15.87	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	             bool), f, p))
15.67/15.87	     | member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	         aa(arrow_411405190le_alt, 
15.67/15.87	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	           aa(arrow_411405190le_alt, 
15.67/15.87	             fun(arrow_411405190le_alt, 
15.67/15.87	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.67/15.87	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a1), 
15.67/15.87	           b1), 
15.67/15.87	         aa(
15.67/15.87	           fun(arrow_159774573e_indi, 
15.67/15.87	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	               bool)), 
15.67/15.87	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	             bool), f, p1))
15.67/15.87	     | a1 != b
15.67/15.87	     | b1 != a),
15.67/15.87	    inference('cnf', [status(esa)],
15.67/15.87	              [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])).
15.67/15.87	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,
15.67/15.87	  (((b1 = a) & (a1 != b)) =>
15.67/15.87	   (member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
15.67/15.87	           aa(arrow_411405190le_alt,
15.67/15.87	              product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
15.67/15.87	              aa(arrow_411405190le_alt,
15.67/15.87	                 fun(arrow_411405190le_alt,
15.67/15.87	                     product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),
15.67/15.87	                 product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a1),
15.67/15.87	              b1),
15.67/15.87	           aa(fun(arrow_159774573e_indi,
15.67/15.87	                  fun(product_prod(arrow_411405190le_alt,
15.67/15.87	                                   arrow_411405190le_alt),
15.67/15.87	                      bool)),
15.67/15.87	              fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
15.67/15.87	                  bool),
15.67/15.87	              f,p1)) <=>
15.67/15.87	    member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
15.67/15.87	           aa(arrow_411405190le_alt,
15.67/15.87	              product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
15.67/15.87	              aa(arrow_411405190le_alt,
15.67/15.87	                 fun(arrow_411405190le_alt,
15.67/15.87	                     product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),
15.67/15.87	                 product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a),
15.67/15.87	              b),
15.67/15.87	           aa(fun(arrow_159774573e_indi,
15.67/15.87	                  fun(product_prod(arrow_411405190le_alt,
15.67/15.87	                                   arrow_411405190le_alt),
15.67/15.87	                      bool)),
15.67/15.87	              fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
15.67/15.87	                  bool),
15.67/15.87	              f,p))))).
15.67/15.87	tff('2', plain,
15.67/15.87	    (~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	         aa(arrow_411405190le_alt, 
15.67/15.87	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	           aa(arrow_411405190le_alt, 
15.67/15.87	             fun(arrow_411405190le_alt, 
15.67/15.87	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.67/15.87	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a), 
15.67/15.87	           b), 
15.67/15.87	         aa(
15.67/15.87	           fun(arrow_159774573e_indi, 
15.67/15.87	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	               bool)), 
15.67/15.87	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	             bool), f, p))
15.67/15.87	     | member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	         aa(arrow_411405190le_alt, 
15.67/15.87	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	           aa(arrow_411405190le_alt, 
15.67/15.87	             fun(arrow_411405190le_alt, 
15.67/15.87	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.67/15.87	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a1), 
15.67/15.87	           b1), 
15.67/15.87	         aa(
15.67/15.87	           fun(arrow_159774573e_indi, 
15.67/15.87	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	               bool)), 
15.67/15.87	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	             bool), f, p1))
15.67/15.87	     | a1 = b
15.67/15.87	     | b1 != a),
15.67/15.87	    inference('cnf', [status(esa)],
15.67/15.87	              [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])).
15.67/15.87	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,
15.67/15.87	  (((b1 != a) & (a1 != b)) =>
15.67/15.87	   (member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
15.67/15.87	           aa(arrow_411405190le_alt,
15.67/15.87	              product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
15.67/15.87	              aa(arrow_411405190le_alt,
15.67/15.87	                 fun(arrow_411405190le_alt,
15.67/15.87	                     product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),
15.67/15.87	                 product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a1),
15.67/15.87	              b1),
15.67/15.87	           aa(fun(arrow_159774573e_indi,
15.67/15.87	                  fun(product_prod(arrow_411405190le_alt,
15.67/15.87	                                   arrow_411405190le_alt),
15.67/15.87	                      bool)),
15.67/15.87	              fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
15.67/15.87	                  bool),
15.67/15.87	              f,p1)) <=>
15.67/15.87	    member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
15.67/15.87	           aa(arrow_411405190le_alt,
15.67/15.87	              product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
15.67/15.87	              aa(arrow_411405190le_alt,
15.67/15.87	                 fun(arrow_411405190le_alt,
15.67/15.87	                     product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),
15.67/15.87	                 product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a),
15.67/15.87	              b),
15.67/15.87	           aa(fun(arrow_159774573e_indi,
15.67/15.87	                  fun(product_prod(arrow_411405190le_alt,
15.67/15.87	                                   arrow_411405190le_alt),
15.67/15.87	                      bool)),
15.67/15.87	              fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
15.67/15.87	                  bool),
15.67/15.87	              f,p))))).
15.67/15.87	tff('3', plain,
15.67/15.87	    (~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	         aa(arrow_411405190le_alt, 
15.67/15.87	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	           aa(arrow_411405190le_alt, 
15.67/15.87	             fun(arrow_411405190le_alt, 
15.67/15.87	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.67/15.87	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a), 
15.67/15.87	           b), 
15.67/15.87	         aa(
15.67/15.87	           fun(arrow_159774573e_indi, 
15.67/15.87	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	               bool)), 
15.67/15.87	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	             bool), f, p))
15.67/15.87	     | member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	         aa(arrow_411405190le_alt, 
15.67/15.87	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	           aa(arrow_411405190le_alt, 
15.67/15.87	             fun(arrow_411405190le_alt, 
15.67/15.87	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.67/15.87	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a1), 
15.67/15.87	           b1), 
15.67/15.87	         aa(
15.67/15.87	           fun(arrow_159774573e_indi, 
15.67/15.87	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	               bool)), 
15.67/15.87	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	             bool), f, p1))
15.67/15.87	     | a1 = b
15.67/15.87	     | b1 = a),
15.67/15.87	    inference('cnf', [status(esa)],
15.67/15.87	              [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])).
15.67/15.87	tff('4', plain,
15.67/15.87	    (a1 = b
15.67/15.87	     | member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	         aa(arrow_411405190le_alt, 
15.67/15.87	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	           aa(arrow_411405190le_alt, 
15.67/15.87	             fun(arrow_411405190le_alt, 
15.67/15.87	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.67/15.87	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a1), 
15.67/15.87	           b1), 
15.67/15.87	         aa(
15.67/15.87	           fun(arrow_159774573e_indi, 
15.67/15.87	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	               bool)), 
15.67/15.87	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	             bool), f, p1))
15.67/15.87	     | ~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	           aa(arrow_411405190le_alt, 
15.67/15.87	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	             aa(arrow_411405190le_alt, 
15.67/15.87	               fun(arrow_411405190le_alt, 
15.67/15.87	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.67/15.87	               product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a), 
15.67/15.87	             b), 
15.67/15.87	           aa(
15.67/15.87	             fun(arrow_159774573e_indi, 
15.67/15.87	               fun(
15.67/15.87	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	                 bool)), 
15.67/15.87	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	               bool), f, p))),
15.67/15.87	    inference('clc', [status(thm)], ['2', '3'])).
15.67/15.87	tff('5', plain,
15.67/15.87	    (b1 != a
15.67/15.87	     | member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	         aa(arrow_411405190le_alt, 
15.67/15.87	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	           aa(arrow_411405190le_alt, 
15.67/15.87	             fun(arrow_411405190le_alt, 
15.67/15.87	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.67/15.87	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a1), 
15.67/15.87	           b1), 
15.67/15.87	         aa(
15.67/15.87	           fun(arrow_159774573e_indi, 
15.67/15.87	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	               bool)), 
15.67/15.87	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	             bool), f, p1))
15.67/15.87	     | ~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	           aa(arrow_411405190le_alt, 
15.67/15.87	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	             aa(arrow_411405190le_alt, 
15.67/15.87	               fun(arrow_411405190le_alt, 
15.67/15.87	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.67/15.87	               product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a), 
15.67/15.87	             b), 
15.67/15.87	           aa(
15.67/15.87	             fun(arrow_159774573e_indi, 
15.67/15.87	               fun(
15.67/15.87	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	                 bool)), 
15.67/15.87	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	               bool), f, p))),
15.67/15.87	    inference('clc', [status(thm)], ['1', '4'])).
15.67/15.87	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,
15.67/15.87	  (((b1 != a) & (a1 = b)) =>
15.67/15.87	   (member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
15.67/15.87	           aa(arrow_411405190le_alt,
15.67/15.87	              product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
15.67/15.87	              aa(arrow_411405190le_alt,
15.67/15.87	                 fun(arrow_411405190le_alt,
15.67/15.87	                     product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),
15.67/15.87	                 product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a1),
15.67/15.87	              b1),
15.67/15.87	           aa(fun(arrow_159774573e_indi,
15.67/15.87	                  fun(product_prod(arrow_411405190le_alt,
15.67/15.87	                                   arrow_411405190le_alt),
15.67/15.87	                      bool)),
15.67/15.87	              fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
15.67/15.87	                  bool),
15.67/15.87	              f,p1)) <=>
15.67/15.87	    member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
15.67/15.87	           aa(arrow_411405190le_alt,
15.67/15.87	              product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
15.67/15.87	              aa(arrow_411405190le_alt,
15.67/15.87	                 fun(arrow_411405190le_alt,
15.67/15.87	                     product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),
15.67/15.87	                 product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),a),
15.67/15.87	              b),
15.67/15.87	           aa(fun(arrow_159774573e_indi,
15.67/15.87	                  fun(product_prod(arrow_411405190le_alt,
15.67/15.87	                                   arrow_411405190le_alt),
15.67/15.87	                      bool)),
15.67/15.87	              fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
15.67/15.87	                  bool),
15.67/15.87	              f,p))))).
15.67/15.87	tff('6', plain,
15.67/15.87	    (~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	         aa(arrow_411405190le_alt, 
15.67/15.87	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	           aa(arrow_411405190le_alt, 
15.67/15.87	             fun(arrow_411405190le_alt, 
15.67/15.87	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.67/15.87	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a), 
15.67/15.87	           b), 
15.67/15.87	         aa(
15.67/15.87	           fun(arrow_159774573e_indi, 
15.67/15.87	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	               bool)), 
15.67/15.87	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	             bool), f, p))
15.67/15.87	     | member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	         aa(arrow_411405190le_alt, 
15.67/15.87	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	           aa(arrow_411405190le_alt, 
15.67/15.87	             fun(arrow_411405190le_alt, 
15.67/15.87	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.67/15.87	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a1), 
15.67/15.87	           b1), 
15.67/15.87	         aa(
15.67/15.87	           fun(arrow_159774573e_indi, 
15.67/15.87	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	               bool)), 
15.67/15.87	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	             bool), f, p1))
15.67/15.87	     | a1 != b
15.67/15.87	     | b1 = a),
15.67/15.87	    inference('cnf', [status(esa)],
15.67/15.87	              [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])).
15.67/15.87	tff('7', plain,
15.67/15.87	    (b1 = a
15.67/15.87	     | member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	         aa(arrow_411405190le_alt, 
15.67/15.87	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	           aa(arrow_411405190le_alt, 
15.67/15.87	             fun(arrow_411405190le_alt, 
15.67/15.87	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.67/15.87	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a1), 
15.67/15.87	           b1), 
15.67/15.87	         aa(
15.67/15.87	           fun(arrow_159774573e_indi, 
15.67/15.87	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	               bool)), 
15.67/15.87	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	             bool), f, p1))
15.67/15.87	     | ~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	           aa(arrow_411405190le_alt, 
15.67/15.87	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	             aa(arrow_411405190le_alt, 
15.67/15.87	               fun(arrow_411405190le_alt, 
15.67/15.87	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.67/15.87	               product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a), 
15.67/15.87	             b), 
15.67/15.87	           aa(
15.67/15.87	             fun(arrow_159774573e_indi, 
15.67/15.87	               fun(
15.67/15.87	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	                 bool)), 
15.67/15.87	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	               bool), f, p))),
15.67/15.87	    inference('clc', [status(thm)], ['6', '4'])).
15.67/15.87	tff('8', plain,
15.67/15.87	    (~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	         aa(arrow_411405190le_alt, 
15.67/15.87	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	           aa(arrow_411405190le_alt, 
15.67/15.87	             fun(arrow_411405190le_alt, 
15.67/15.87	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.67/15.87	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a), 
15.67/15.87	           b), 
15.67/15.87	         aa(
15.67/15.87	           fun(arrow_159774573e_indi, 
15.67/15.87	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	               bool)), 
15.67/15.87	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	             bool), f, p))
15.67/15.87	     | member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	         aa(arrow_411405190le_alt, 
15.67/15.87	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	           aa(arrow_411405190le_alt, 
15.67/15.87	             fun(arrow_411405190le_alt, 
15.67/15.87	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.67/15.87	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a1), 
15.67/15.87	           b1), 
15.67/15.87	         aa(
15.67/15.87	           fun(arrow_159774573e_indi, 
15.67/15.87	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	               bool)), 
15.67/15.87	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	             bool), f, p1))),
15.67/15.87	    inference('clc', [status(thm)], ['5', '7'])).
15.67/15.87	tff('9', plain,
15.67/15.87	    member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	      aa(arrow_411405190le_alt, 
15.67/15.87	        product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	        aa(arrow_411405190le_alt, 
15.67/15.87	          fun(arrow_411405190le_alt, 
15.67/15.87	            product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.67/15.87	          product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a1), 
15.67/15.87	        b1), 
15.67/15.87	      aa(
15.67/15.87	        fun(arrow_159774573e_indi, 
15.67/15.87	          fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	            bool)), 
15.67/15.87	        fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), bool), 
15.67/15.87	        f, p1)),
15.67/15.87	    inference('clc', [status(thm)], ['0', '8'])).
15.67/15.87	tff('10', plain,
15.67/15.87	    (~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	         aa(arrow_411405190le_alt, 
15.67/15.87	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	           aa(arrow_411405190le_alt, 
15.67/15.87	             fun(arrow_411405190le_alt, 
15.67/15.87	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.67/15.87	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a1), 
15.67/15.87	           b1), 
15.67/15.87	         aa(
15.67/15.87	           fun(arrow_159774573e_indi, 
15.67/15.87	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	               bool)), 
15.67/15.87	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	             bool), f, p1))
15.67/15.87	     | member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	         aa(arrow_411405190le_alt, 
15.67/15.87	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	           aa(arrow_411405190le_alt, 
15.67/15.87	             fun(arrow_411405190le_alt, 
15.67/15.87	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.67/15.87	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a), 
15.67/15.87	           b), 
15.67/15.87	         aa(
15.67/15.87	           fun(arrow_159774573e_indi, 
15.67/15.87	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	               bool)), 
15.67/15.87	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	             bool), f, p))
15.67/15.87	     | a1 != b
15.67/15.87	     | b1 != a),
15.67/15.87	    inference('cnf', [status(esa)],
15.67/15.87	              [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])).
15.67/15.87	tff('11', plain,
15.67/15.87	    (~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	         aa(arrow_411405190le_alt, 
15.67/15.87	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	           aa(arrow_411405190le_alt, 
15.67/15.87	             fun(arrow_411405190le_alt, 
15.67/15.87	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.67/15.87	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a1), 
15.67/15.87	           b1), 
15.67/15.87	         aa(
15.67/15.87	           fun(arrow_159774573e_indi, 
15.67/15.87	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	               bool)), 
15.67/15.87	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	             bool), f, p1))
15.67/15.87	     | member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	         aa(arrow_411405190le_alt, 
15.67/15.87	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	           aa(arrow_411405190le_alt, 
15.67/15.87	             fun(arrow_411405190le_alt, 
15.67/15.87	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.67/15.87	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a), 
15.67/15.87	           b), 
15.67/15.87	         aa(
15.67/15.87	           fun(arrow_159774573e_indi, 
15.67/15.87	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	               bool)), 
15.67/15.87	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	             bool), f, p))
15.67/15.87	     | a1 = b
15.67/15.87	     | b1 != a),
15.67/15.87	    inference('cnf', [status(esa)],
15.67/15.87	              [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])).
15.67/15.87	tff('12', plain,
15.67/15.87	    (~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	         aa(arrow_411405190le_alt, 
15.67/15.87	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	           aa(arrow_411405190le_alt, 
15.67/15.87	             fun(arrow_411405190le_alt, 
15.67/15.87	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.67/15.87	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a1), 
15.67/15.87	           b1), 
15.67/15.87	         aa(
15.67/15.87	           fun(arrow_159774573e_indi, 
15.67/15.87	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	               bool)), 
15.67/15.87	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	             bool), f, p1))
15.67/15.87	     | member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	         aa(arrow_411405190le_alt, 
15.67/15.87	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	           aa(arrow_411405190le_alt, 
15.67/15.87	             fun(arrow_411405190le_alt, 
15.67/15.87	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.67/15.87	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a), 
15.67/15.87	           b), 
15.67/15.87	         aa(
15.67/15.87	           fun(arrow_159774573e_indi, 
15.67/15.87	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	               bool)), 
15.67/15.87	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	             bool), f, p))
15.67/15.87	     | a1 = b
15.67/15.87	     | b1 = a),
15.67/15.87	    inference('cnf', [status(esa)],
15.67/15.87	              [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])).
15.67/15.87	tff('13', plain,
15.67/15.87	    (a1 = b
15.67/15.87	     | member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	         aa(arrow_411405190le_alt, 
15.67/15.87	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	           aa(arrow_411405190le_alt, 
15.67/15.87	             fun(arrow_411405190le_alt, 
15.67/15.87	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.67/15.87	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a), 
15.67/15.87	           b), 
15.67/15.87	         aa(
15.67/15.87	           fun(arrow_159774573e_indi, 
15.67/15.87	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	               bool)), 
15.67/15.87	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	             bool), f, p))
15.67/15.87	     | ~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	           aa(arrow_411405190le_alt, 
15.67/15.87	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	             aa(arrow_411405190le_alt, 
15.67/15.87	               fun(arrow_411405190le_alt, 
15.67/15.87	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.67/15.87	               product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	               a1), b1), 
15.67/15.87	           aa(
15.67/15.87	             fun(arrow_159774573e_indi, 
15.67/15.87	               fun(
15.67/15.87	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	                 bool)), 
15.67/15.87	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	               bool), f, p1))),
15.67/15.87	    inference('clc', [status(thm)], ['11', '12'])).
15.67/15.87	tff('14', plain,
15.67/15.87	    (b1 != a
15.67/15.87	     | member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	         aa(arrow_411405190le_alt, 
15.67/15.87	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	           aa(arrow_411405190le_alt, 
15.67/15.87	             fun(arrow_411405190le_alt, 
15.67/15.87	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.67/15.87	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a), 
15.67/15.87	           b), 
15.67/15.87	         aa(
15.67/15.87	           fun(arrow_159774573e_indi, 
15.67/15.87	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	               bool)), 
15.67/15.87	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	             bool), f, p))
15.67/15.87	     | ~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	           aa(arrow_411405190le_alt, 
15.67/15.87	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	             aa(arrow_411405190le_alt, 
15.67/15.87	               fun(arrow_411405190le_alt, 
15.67/15.87	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.67/15.87	               product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	               a1), b1), 
15.67/15.87	           aa(
15.67/15.87	             fun(arrow_159774573e_indi, 
15.67/15.87	               fun(
15.67/15.87	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	                 bool)), 
15.67/15.87	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	               bool), f, p1))),
15.67/15.87	    inference('clc', [status(thm)], ['10', '13'])).
15.67/15.87	tff('15', plain,
15.67/15.87	    (~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	         aa(arrow_411405190le_alt, 
15.67/15.87	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	           aa(arrow_411405190le_alt, 
15.67/15.87	             fun(arrow_411405190le_alt, 
15.67/15.87	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.67/15.87	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a1), 
15.67/15.87	           b1), 
15.67/15.87	         aa(
15.67/15.87	           fun(arrow_159774573e_indi, 
15.67/15.87	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	               bool)), 
15.67/15.87	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	             bool), f, p1))
15.67/15.87	     | member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	         aa(arrow_411405190le_alt, 
15.67/15.87	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	           aa(arrow_411405190le_alt, 
15.67/15.87	             fun(arrow_411405190le_alt, 
15.67/15.87	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.67/15.87	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a), 
15.67/15.87	           b), 
15.67/15.87	         aa(
15.67/15.87	           fun(arrow_159774573e_indi, 
15.67/15.87	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	               bool)), 
15.67/15.87	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	             bool), f, p))
15.67/15.87	     | a1 != b
15.67/15.87	     | b1 = a),
15.67/15.87	    inference('cnf', [status(esa)],
15.67/15.87	              [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])).
15.67/15.87	tff('16', plain,
15.67/15.87	    (b1 = a
15.67/15.87	     | member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	         aa(arrow_411405190le_alt, 
15.67/15.87	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	           aa(arrow_411405190le_alt, 
15.67/15.87	             fun(arrow_411405190le_alt, 
15.67/15.87	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.67/15.87	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a), 
15.67/15.87	           b), 
15.67/15.87	         aa(
15.67/15.87	           fun(arrow_159774573e_indi, 
15.67/15.87	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	               bool)), 
15.67/15.87	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	             bool), f, p))
15.67/15.87	     | ~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	           aa(arrow_411405190le_alt, 
15.67/15.87	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	             aa(arrow_411405190le_alt, 
15.67/15.87	               fun(arrow_411405190le_alt, 
15.67/15.87	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.67/15.87	               product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	               a1), b1), 
15.67/15.87	           aa(
15.67/15.87	             fun(arrow_159774573e_indi, 
15.67/15.87	               fun(
15.67/15.87	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	                 bool)), 
15.67/15.87	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	               bool), f, p1))),
15.67/15.87	    inference('clc', [status(thm)], ['15', '13'])).
15.67/15.87	tff('17', plain,
15.67/15.87	    (~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	         aa(arrow_411405190le_alt, 
15.67/15.87	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	           aa(arrow_411405190le_alt, 
15.67/15.87	             fun(arrow_411405190le_alt, 
15.67/15.87	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.67/15.87	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a1), 
15.67/15.87	           b1), 
15.67/15.87	         aa(
15.67/15.87	           fun(arrow_159774573e_indi, 
15.67/15.87	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	               bool)), 
15.67/15.87	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	             bool), f, p1))
15.67/15.87	     | member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	         aa(arrow_411405190le_alt, 
15.67/15.87	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	           aa(arrow_411405190le_alt, 
15.67/15.87	             fun(arrow_411405190le_alt, 
15.67/15.87	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.67/15.87	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a), 
15.67/15.87	           b), 
15.67/15.87	         aa(
15.67/15.87	           fun(arrow_159774573e_indi, 
15.67/15.87	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	               bool)), 
15.67/15.87	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	             bool), f, p))),
15.67/15.87	    inference('clc', [status(thm)], ['14', '16'])).
15.67/15.87	tff('18', plain,
15.67/15.87	    (~ $true
15.67/15.87	     | member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	         aa(arrow_411405190le_alt, 
15.67/15.87	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	           aa(arrow_411405190le_alt, 
15.67/15.87	             fun(arrow_411405190le_alt, 
15.67/15.87	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.67/15.87	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a), 
15.67/15.87	           b), 
15.67/15.87	         aa(
15.67/15.87	           fun(arrow_159774573e_indi, 
15.67/15.87	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	               bool)), 
15.67/15.87	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	             bool), f, p))),
15.67/15.87	    inference('sup-', [status(thm)], ['9', '17'])).
15.67/15.87	tff('19', plain,
15.67/15.87	    member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	      aa(arrow_411405190le_alt, 
15.67/15.87	        product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	        aa(arrow_411405190le_alt, 
15.67/15.87	          fun(arrow_411405190le_alt, 
15.67/15.87	            product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.67/15.87	          product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a), b), 
15.67/15.87	      aa(
15.67/15.87	        fun(arrow_159774573e_indi, 
15.67/15.87	          fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	            bool)), 
15.67/15.87	        fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), bool), 
15.67/15.87	        f, p)),
15.67/15.87	    inference('simplify', [status(thm)], ['18'])).
15.67/15.87	tff('20', plain,
15.67/15.87	    (~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	         aa(arrow_411405190le_alt, 
15.67/15.87	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	           aa(arrow_411405190le_alt, 
15.67/15.87	             fun(arrow_411405190le_alt, 
15.67/15.87	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.67/15.87	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a), 
15.67/15.87	           b), 
15.67/15.87	         aa(
15.67/15.87	           fun(arrow_159774573e_indi, 
15.67/15.87	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	               bool)), 
15.67/15.87	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	             bool), f, p))
15.67/15.87	     | ~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	           aa(arrow_411405190le_alt, 
15.67/15.87	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	             aa(arrow_411405190le_alt, 
15.67/15.87	               fun(arrow_411405190le_alt, 
15.67/15.87	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.67/15.87	               product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	               a1), b1), 
15.67/15.87	           aa(
15.67/15.87	             fun(arrow_159774573e_indi, 
15.67/15.87	               fun(
15.67/15.87	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	                 bool)), 
15.67/15.87	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	               bool), f, p1))),
15.67/15.87	    inference('cnf', [status(esa)], [zf_stmt_0])).
15.67/15.87	tff('21', plain,
15.67/15.87	    (~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	         aa(arrow_411405190le_alt, 
15.67/15.87	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	           aa(arrow_411405190le_alt, 
15.67/15.87	             fun(arrow_411405190le_alt, 
15.67/15.87	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.67/15.87	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a), 
15.67/15.87	           b), 
15.67/15.87	         aa(
15.67/15.87	           fun(arrow_159774573e_indi, 
15.67/15.87	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	               bool)), 
15.67/15.87	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	             bool), f, p))
15.67/15.87	     | ~ $true),
15.67/15.87	    inference('demod', [status(thm)], ['20', '9'])).
15.67/15.87	tff('22', plain,
15.67/15.87	    ~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	        aa(arrow_411405190le_alt, 
15.67/15.87	          product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	          aa(arrow_411405190le_alt, 
15.67/15.87	            fun(arrow_411405190le_alt, 
15.67/15.87	              product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.67/15.87	            product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a), 
15.67/15.87	          b), 
15.67/15.87	        aa(
15.67/15.87	          fun(arrow_159774573e_indi, 
15.67/15.87	            fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	              bool)), 
15.67/15.87	          fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.67/15.87	            bool), f, p)),
15.67/15.87	    inference('simplify', [status(thm)], ['21'])).
15.67/15.87	tff('23', plain, ~ $true, inference('sup-', [status(thm)], ['19', '22'])).
15.67/15.87	tff('24', plain, $false, inference('simplify', [status(thm)], ['23'])).
15.67/15.87	
15.67/15.87	% SZS output end Refutation
15.67/15.87	EOF
