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
0.00/0.19	% Computer   : n030.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 14:06:09 CST 2018
24.61/24.82	% done 1592 iterations in 24.619s
24.61/24.82	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
24.61/24.82	% SZS output start Refutation
24.61/24.82	tff(fact_3_complete__Lin, axiom,
24.61/24.82	  (![Ba:arrow_411405190le_alt,Aa:arrow_411405190le_alt]:
24.61/24.82	     ((Aa != Ba) =>
24.61/24.82	      (?[X1:fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
24.61/24.82	                bool)]:
24.61/24.82	         (member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
24.61/24.82	                 aa(arrow_411405190le_alt,
24.61/24.82	                    product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
24.61/24.82	                    aa(arrow_411405190le_alt,
24.61/24.82	                       fun(arrow_411405190le_alt,
24.61/24.82	                           product_prod(arrow_411405190le_alt,
24.61/24.82	                                        arrow_411405190le_alt)),
24.61/24.82	                       product_Pair(arrow_411405190le_alt,
24.61/24.82	                                    arrow_411405190le_alt),
24.61/24.82	                       Aa),
24.61/24.82	                    Ba),
24.61/24.82	                 X1) & 
24.61/24.82	          member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
24.61/24.82	                     bool),
24.61/24.82	                 X1,arrow_1985332922le_Lin)))))).
24.61/24.82	tff('0', plain,
24.61/24.82	    ![X6 : arrow_411405190le_alt, X7 : arrow_411405190le_alt]:
24.61/24.82	      (member(
24.61/24.82	         fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
24.61/24.82	           bool), sk_X1(X6, X7), arrow_1985332922le_Lin)
24.61/24.82	       | X6 = X7),
24.61/24.82	    inference('cnf', [status(esa)], [fact_3_complete__Lin])).
24.61/24.82	tff('1', plain,
24.61/24.82	    ![X6 : arrow_411405190le_alt, X7 : arrow_411405190le_alt]:
24.61/24.82	      (member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
24.61/24.82	         aa(arrow_411405190le_alt, 
24.61/24.82	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
24.61/24.82	           aa(arrow_411405190le_alt, 
24.61/24.82	             fun(arrow_411405190le_alt, 
24.61/24.82	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
24.61/24.82	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), X6), 
24.61/24.82	           X7), sk_X1(X6, X7))
24.61/24.82	       | X6 = X7),
24.61/24.82	    inference('cnf', [status(esa)], [fact_3_complete__Lin])).
24.61/24.82	tff(help_COMBC_1_1_U, axiom,
24.61/24.82	  (![A:$tType,C:$tType,B:$tType,R:A,Q:B,P:fun(A,fun(B,C))]:
24.61/24.82	     (aa(A,C,combc(A,B,C,P,Q),R) = aa(B,C,aa(A,fun(B,C),P,R),Q)))).
24.61/24.82	tff('2', plain,
24.61/24.82	    ![X530 : $tType, X531 : $tType, X532 : $tType, 
24.61/24.82	      X533 : fun(X532, fun(X530, X531)), X534 : X532, X535 : X530]:
24.61/24.82	      aa(X532, X531, combc(X532, X530, X531, X533, X535), X534)
24.61/24.82	       = aa(X530, X531, aa(X532, fun(X530, X531), X533, X534), X535),
24.61/24.82	    inference('cnf', [status(esa)], [help_COMBC_1_1_U])).
24.61/24.82	tff('3', plain,
24.61/24.82	    ![X6 : arrow_411405190le_alt, X7 : arrow_411405190le_alt]:
24.61/24.82	      (member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
24.61/24.82	         aa(arrow_411405190le_alt, 
24.61/24.82	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
24.61/24.82	           combc(arrow_411405190le_alt, arrow_411405190le_alt, 
24.61/24.82	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
24.61/24.82	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), X7), 
24.61/24.82	           X6), sk_X1(X6, X7))
24.61/24.82	       | X6 = X7),
24.61/24.82	    inference('demod', [status(thm)], ['1', '2'])).
24.61/24.82	tff(conj_0, axiom,
24.61/24.82	  (![Lab:fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)]:
24.61/24.82	     (member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
24.61/24.82	             aa(arrow_411405190le_alt,
24.61/24.82	                product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
24.61/24.82	                aa(arrow_411405190le_alt,
24.61/24.82	                   fun(arrow_411405190le_alt,
24.61/24.82	                       product_prod(arrow_411405190le_alt,
24.61/24.82	                                    arrow_411405190le_alt)),
24.61/24.82	                   product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),
24.61/24.82	                   a),
24.61/24.82	                b),
24.61/24.82	             Lab) =>
24.61/24.82	      (member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
24.61/24.82	                  bool),
24.61/24.82	              Lab,arrow_1985332922le_Lin) =>
24.61/24.82	       thesis)))).
24.61/24.82	tff('4', plain,
24.61/24.82	    ![X566 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
24.61/24.82	               bool)]:
24.61/24.82	      (thesis
24.61/24.82	       | ~ member(
24.61/24.82	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
24.61/24.82	             aa(arrow_411405190le_alt, 
24.61/24.82	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
24.61/24.82	               aa(arrow_411405190le_alt, 
24.61/24.82	                 fun(arrow_411405190le_alt, 
24.61/24.82	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
24.61/24.82	                 product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), 
24.61/24.82	                 a), b), X566)
24.61/24.82	       | ~ member(
24.61/24.82	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
24.61/24.82	               bool), X566, arrow_1985332922le_Lin)),
24.61/24.82	    inference('cnf', [status(esa)], [conj_0])).
24.61/24.82	tff('5', plain,
24.61/24.82	    ![X566 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
24.61/24.82	               bool)]:
24.61/24.82	      (thesis
24.61/24.82	       | ~ member(
24.61/24.82	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
24.61/24.82	             aa(arrow_411405190le_alt, 
24.61/24.82	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
24.61/24.82	               combc(arrow_411405190le_alt, arrow_411405190le_alt, 
24.61/24.82	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
24.61/24.82	                 product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), 
24.61/24.82	                 b), a), X566)
24.61/24.82	       | ~ member(
24.61/24.82	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
24.61/24.82	               bool), X566, arrow_1985332922le_Lin)),
24.61/24.82	    inference('demod', [status(thm)], ['4', '2'])).
24.61/24.82	tff(conj_1, conjecture, (thesis)).
24.61/24.82	tff(zf_stmt_0, negated_conjecture, (~thesis)).
24.61/24.82	tff('6', plain, ~ thesis, inference('cnf', [status(esa)], [zf_stmt_0])).
24.61/24.82	tff('7', plain,
24.61/24.82	    ![X566 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
24.61/24.82	               bool)]:
24.61/24.82	      (~ member(
24.61/24.82	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
24.61/24.82	             bool), X566, arrow_1985332922le_Lin)
24.61/24.82	       | ~ member(
24.61/24.82	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
24.61/24.82	             aa(arrow_411405190le_alt, 
24.61/24.82	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
24.61/24.82	               combc(arrow_411405190le_alt, arrow_411405190le_alt, 
24.61/24.82	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
24.61/24.82	                 product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), 
24.61/24.82	                 b), a), X566)),
24.61/24.82	    inference('clc', [status(thm)], ['5', '6'])).
24.61/24.82	tff('8', plain,
24.61/24.82	    (~ $true
24.61/24.82	     | a = b
24.61/24.82	     | ~ member(
24.61/24.82	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
24.61/24.82	             bool), sk_X1(a, b), arrow_1985332922le_Lin)),
24.61/24.82	    inference('sup-', [status(thm)], ['3', '7'])).
24.61/24.82	tff('9', plain,
24.61/24.82	    (~ member(
24.61/24.82	         fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
24.61/24.82	           bool), sk_X1(a, b), arrow_1985332922le_Lin)
24.61/24.82	     | a = b),
24.61/24.82	    inference('simplify', [status(thm)], ['8'])).
24.61/24.82	tff(fact_0__096a_A_126_061_Ab_096, axiom, (a != b)).
24.61/24.82	tff('10', plain, a != b,
24.61/24.82	    inference('cnf', [status(esa)], [fact_0__096a_A_126_061_Ab_096])).
24.61/24.82	tff('11', plain,
24.61/24.82	    ~ member(
24.61/24.82	        fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), bool), 
24.61/24.82	        sk_X1(a, b), arrow_1985332922le_Lin),
24.61/24.82	    inference('simplify_reflect-', [status(thm)], ['9', '10'])).
24.61/24.82	tff('12', plain, (~ $true | a = b),
24.61/24.82	    inference('sup-', [status(thm)], ['0', '11'])).
24.61/24.82	tff('13', plain, a = b, inference('simplify', [status(thm)], ['12'])).
24.61/24.82	tff('14', plain, $false,
24.61/24.82	    inference('simplify_reflect-', [status(thm)], ['13', '10'])).
24.61/24.82	
24.61/24.82	% SZS output end Refutation
24.61/24.82	EOF
