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    : purification_int
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-avatar \
0.00/0.01	  --ho \
0.00/0.01	  --force-ho \
0.00/0.01	  --no-ho-elim-pred-var \
0.00/0.01	  --ho-general-ext-pos \
0.00/0.01	  --no-ho-unif \
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	  --ho-purify int \
0.00/0.01	  --ho-no-ext-pos \
0.00/0.01	  --ho-no-ext-neg \
0.00/0.01	  --ho-prim-enum none \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --dont-select-ho-var-lits \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n160.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 14:06:09 CST 2018
23.12/23.33	% done 1586 iterations in 23.116s
23.12/23.33	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
23.12/23.33	% SZS output start Refutation
23.12/23.33	tff(fact_3_complete__Lin, axiom,
23.12/23.33	  (![Ba:arrow_411405190le_alt,Aa:arrow_411405190le_alt]:
23.12/23.33	     ((Aa != Ba) =>
23.12/23.33	      (?[X1:fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
23.12/23.33	                bool)]:
23.12/23.33	         (member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
23.12/23.33	                 aa(arrow_411405190le_alt,
23.12/23.33	                    product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
23.12/23.33	                    aa(arrow_411405190le_alt,
23.12/23.33	                       fun(arrow_411405190le_alt,
23.12/23.33	                           product_prod(arrow_411405190le_alt,
23.12/23.33	                                        arrow_411405190le_alt)),
23.12/23.33	                       product_Pair(arrow_411405190le_alt,
23.12/23.33	                                    arrow_411405190le_alt),
23.12/23.33	                       Aa),
23.12/23.33	                    Ba),
23.12/23.33	                 X1) & 
23.12/23.33	          member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
23.12/23.33	                     bool),
23.12/23.33	                 X1,arrow_1985332922le_Lin)))))).
23.12/23.33	tff('0', plain,
23.12/23.33	    ![X6 : arrow_411405190le_alt, X7 : arrow_411405190le_alt]:
23.12/23.33	      (member(
23.12/23.33	         fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
23.12/23.33	           bool), sk_X1(X6, X7), arrow_1985332922le_Lin)
23.12/23.33	       | X6 = X7),
23.12/23.33	    inference('cnf', [status(esa)], [fact_3_complete__Lin])).
23.12/23.33	tff('1', plain,
23.12/23.33	    ![X6 : arrow_411405190le_alt, X7 : arrow_411405190le_alt]:
23.12/23.33	      (member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
23.12/23.33	         aa(arrow_411405190le_alt, 
23.12/23.33	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
23.12/23.33	           aa(arrow_411405190le_alt, 
23.12/23.33	             fun(arrow_411405190le_alt, 
23.12/23.33	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
23.12/23.33	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), X6), 
23.12/23.33	           X7), sk_X1(X6, X7))
23.12/23.33	       | X6 = X7),
23.12/23.33	    inference('cnf', [status(esa)], [fact_3_complete__Lin])).
23.12/23.33	tff(help_COMBC_1_1_U, axiom,
23.12/23.33	  (![A:$tType,C:$tType,B:$tType,R:A,Q:B,P:fun(A,fun(B,C))]:
23.12/23.33	     (aa(A,C,combc(A,B,C,P,Q),R) = aa(B,C,aa(A,fun(B,C),P,R),Q)))).
23.12/23.33	tff('2', plain,
23.12/23.33	    ![X530 : $tType, X531 : $tType, X532 : $tType, 
23.12/23.33	      X533 : fun(X532, fun(X530, X531)), X534 : X532, X535 : X530]:
23.12/23.33	      aa(X532, X531, combc(X532, X530, X531, X533, X535), X534)
23.12/23.33	       = aa(X530, X531, aa(X532, fun(X530, X531), X533, X534), X535),
23.12/23.33	    inference('cnf', [status(esa)], [help_COMBC_1_1_U])).
23.12/23.33	tff('3', plain,
23.12/23.33	    ![X6 : arrow_411405190le_alt, X7 : arrow_411405190le_alt]:
23.12/23.33	      (member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
23.12/23.33	         aa(arrow_411405190le_alt, 
23.12/23.33	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
23.12/23.33	           combc(arrow_411405190le_alt, arrow_411405190le_alt, 
23.12/23.33	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
23.12/23.33	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), X7), 
23.12/23.33	           X6), sk_X1(X6, X7))
23.12/23.33	       | X6 = X7),
23.12/23.33	    inference('demod', [status(thm)], ['1', '2'])).
23.12/23.33	tff(conj_0, axiom,
23.12/23.33	  (![Lab:fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)]:
23.12/23.33	     (member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
23.12/23.33	             aa(arrow_411405190le_alt,
23.12/23.33	                product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
23.12/23.33	                aa(arrow_411405190le_alt,
23.12/23.33	                   fun(arrow_411405190le_alt,
23.12/23.33	                       product_prod(arrow_411405190le_alt,
23.12/23.33	                                    arrow_411405190le_alt)),
23.12/23.33	                   product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),
23.12/23.33	                   a),
23.12/23.33	                b),
23.12/23.33	             Lab) =>
23.12/23.33	      (member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
23.12/23.33	                  bool),
23.12/23.33	              Lab,arrow_1985332922le_Lin) =>
23.12/23.33	       thesis)))).
23.12/23.33	tff('4', plain,
23.12/23.33	    ![X566 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
23.12/23.33	               bool)]:
23.12/23.33	      (thesis
23.12/23.33	       | ~ member(
23.12/23.33	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
23.12/23.33	             aa(arrow_411405190le_alt, 
23.12/23.33	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
23.12/23.33	               aa(arrow_411405190le_alt, 
23.12/23.33	                 fun(arrow_411405190le_alt, 
23.12/23.33	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
23.12/23.33	                 product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), 
23.12/23.33	                 a), b), X566)
23.12/23.33	       | ~ member(
23.12/23.33	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
23.12/23.33	               bool), X566, arrow_1985332922le_Lin)),
23.12/23.33	    inference('cnf', [status(esa)], [conj_0])).
23.12/23.33	tff('5', plain,
23.12/23.33	    ![X566 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
23.12/23.33	               bool)]:
23.12/23.33	      (thesis
23.12/23.33	       | ~ member(
23.12/23.33	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
23.12/23.33	             aa(arrow_411405190le_alt, 
23.12/23.33	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
23.12/23.33	               combc(arrow_411405190le_alt, arrow_411405190le_alt, 
23.12/23.33	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
23.12/23.33	                 product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), 
23.12/23.33	                 b), a), X566)
23.12/23.33	       | ~ member(
23.12/23.33	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
23.12/23.33	               bool), X566, arrow_1985332922le_Lin)),
23.12/23.33	    inference('demod', [status(thm)], ['4', '2'])).
23.12/23.33	tff(conj_1, conjecture, (thesis)).
23.12/23.33	tff(zf_stmt_0, negated_conjecture, (~thesis)).
23.12/23.33	tff('6', plain, ~ thesis, inference('cnf', [status(esa)], [zf_stmt_0])).
23.12/23.33	tff('7', plain,
23.12/23.33	    ![X566 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
23.12/23.33	               bool)]:
23.12/23.33	      (~ member(
23.12/23.33	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
23.12/23.33	             bool), X566, arrow_1985332922le_Lin)
23.12/23.33	       | ~ member(
23.12/23.33	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
23.12/23.33	             aa(arrow_411405190le_alt, 
23.12/23.33	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
23.12/23.33	               combc(arrow_411405190le_alt, arrow_411405190le_alt, 
23.12/23.33	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
23.12/23.33	                 product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), 
23.12/23.33	                 b), a), X566)),
23.12/23.33	    inference('clc', [status(thm)], ['5', '6'])).
23.12/23.33	tff('8', plain,
23.12/23.33	    (~ $true
23.12/23.33	     | a = b
23.12/23.33	     | ~ member(
23.12/23.33	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
23.12/23.33	             bool), sk_X1(a, b), arrow_1985332922le_Lin)),
23.12/23.33	    inference('sup-', [status(thm)], ['3', '7'])).
23.12/23.33	tff('9', plain,
23.12/23.33	    (~ member(
23.12/23.33	         fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
23.12/23.33	           bool), sk_X1(a, b), arrow_1985332922le_Lin)
23.12/23.33	     | a = b),
23.12/23.33	    inference('simplify', [status(thm)], ['8'])).
23.12/23.33	tff(fact_0__096a_A_126_061_Ab_096, axiom, (a != b)).
23.12/23.33	tff('10', plain, a != b,
23.12/23.33	    inference('cnf', [status(esa)], [fact_0__096a_A_126_061_Ab_096])).
23.12/23.33	tff('11', plain,
23.12/23.33	    ~ member(
23.12/23.33	        fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), bool), 
23.12/23.33	        sk_X1(a, b), arrow_1985332922le_Lin),
23.12/23.33	    inference('simplify_reflect-', [status(thm)], ['9', '10'])).
23.12/23.33	tff('12', plain, (~ $true | a = b),
23.12/23.33	    inference('sup-', [status(thm)], ['0', '11'])).
23.12/23.33	tff('13', plain, a = b, inference('simplify', [status(thm)], ['12'])).
23.12/23.33	tff('14', plain, $false,
23.12/23.33	    inference('simplify_reflect-', [status(thm)], ['13', '10'])).
23.12/23.33	
23.12/23.33	% SZS output end Refutation
23.12/23.33	EOF
