0.00/0.01	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : original
0.00/0.01	% Variant    : purification_ext
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 ext \
0.00/0.01	  --ho-ext-axiom \
0.00/0.01	  --restrict-hidden-sup-at-vars \
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   : n030.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 13:39:09 CST 2018
15.81/16.03	% done 1090 iterations in 15.820s
15.81/16.03	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
15.81/16.03	% SZS output start Refutation
15.81/16.03	tff(conj_5, axiom,
15.81/16.03	  (member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
15.81/16.03	          aa(arrow_411405190le_alt,
15.81/16.03	             product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
15.81/16.03	             aa(arrow_411405190le_alt,
15.81/16.03	                fun(arrow_411405190le_alt,
15.81/16.03	                    product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),
15.81/16.03	                product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),
15.81/16.03	             y),
15.81/16.03	          l))).
15.81/16.03	tff('0', plain,
15.81/16.03	    member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.81/16.03	      aa(arrow_411405190le_alt, 
15.81/16.03	        product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.81/16.03	        aa(arrow_411405190le_alt, 
15.81/16.03	          fun(arrow_411405190le_alt, 
15.81/16.03	            product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.81/16.03	          product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), x), y), 
15.81/16.03	      l),
15.81/16.03	    inference('cnf', [status(esa)], [conj_5])).
15.81/16.03	tff(fact_2_trans__def, axiom,
15.81/16.03	  (![A1:$tType,R:fun(product_prod(A1,A1),bool)]:
15.81/16.03	     (trans(A1,R) <=>
15.81/16.03	      (![X2:A1,Y2:A1,Z2:A1]:
15.81/16.03	         (member(product_prod(A1,A1),
15.81/16.03	                 aa(A1,product_prod(A1,A1),
15.81/16.03	                    aa(A1,fun(A1,product_prod(A1,A1)),product_Pair(A1,A1),X2),
15.81/16.03	                    Y2),
15.81/16.03	                 R) =>
15.81/16.03	          (member(product_prod(A1,A1),
15.81/16.03	                  aa(A1,product_prod(A1,A1),
15.81/16.03	                     aa(A1,fun(A1,product_prod(A1,A1)),product_Pair(A1,A1),Y2),
15.81/16.03	                     Z2),
15.81/16.03	                  R) =>
15.81/16.03	           member(product_prod(A1,A1),
15.81/16.03	                  aa(A1,product_prod(A1,A1),
15.81/16.03	                     aa(A1,fun(A1,product_prod(A1,A1)),product_Pair(A1,A1),X2),
15.81/16.03	                     Z2),
15.81/16.03	                  R))))))).
15.81/16.03	tff('1', plain,
15.81/16.03	    ![X14 : $tType, X15 : X14, X16 : X14, 
15.81/16.03	      X17 : fun(product_prod(X14, X14), bool), X18 : X14]:
15.81/16.03	      (~ member(product_prod(X14, X14), 
15.81/16.03	           aa(X14, product_prod(X14, X14), 
15.81/16.03	             aa(X14, fun(X14, product_prod(X14, X14)), 
15.81/16.03	               product_Pair(X14, X14), X15), X16), X17)
15.81/16.03	       | member(product_prod(X14, X14), 
15.81/16.03	           aa(X14, product_prod(X14, X14), 
15.81/16.03	             aa(X14, fun(X14, product_prod(X14, X14)), 
15.81/16.03	               product_Pair(X14, X14), X18), X16), X17)
15.81/16.03	       | ~ member(product_prod(X14, X14), 
15.81/16.03	             aa(X14, product_prod(X14, X14), 
15.81/16.03	               aa(X14, fun(X14, product_prod(X14, X14)), 
15.81/16.03	                 product_Pair(X14, X14), X18), X15), X17)
15.81/16.03	       | ~ trans(X14, X17)),
15.81/16.03	    inference('cnf', [status(esa)], [fact_2_trans__def])).
15.81/16.03	tff('2', plain,
15.81/16.03	    ![X0 : arrow_411405190le_alt]:
15.81/16.03	      (~ $true
15.81/16.03	       | ~ trans(arrow_411405190le_alt, l)
15.81/16.03	       | ~ member(
15.81/16.03	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.81/16.03	             aa(arrow_411405190le_alt, 
15.81/16.03	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.81/16.03	               aa(arrow_411405190le_alt, 
15.81/16.03	                 fun(arrow_411405190le_alt, 
15.81/16.03	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.81/16.03	                 product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), 
15.81/16.03	                 X0), x), l)
15.81/16.03	       | member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.81/16.03	           aa(arrow_411405190le_alt, 
15.81/16.03	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.81/16.03	             aa(arrow_411405190le_alt, 
15.81/16.03	               fun(arrow_411405190le_alt, 
15.81/16.03	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.81/16.03	               product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), 
15.81/16.03	               X0), y), l)),
15.81/16.03	    inference('sup-', [status(thm)], ['0', '1'])).
15.81/16.03	tff(conj_1, axiom, (trans(arrow_411405190le_alt,l))).
15.81/16.03	tff('3', plain, trans(arrow_411405190le_alt, l),
15.81/16.03	    inference('cnf', [status(esa)], [conj_1])).
15.81/16.03	tff('4', plain,
15.81/16.03	    ![X0 : arrow_411405190le_alt]:
15.81/16.03	      (~ $true
15.81/16.03	       | ~ $true
15.81/16.03	       | ~ member(
15.81/16.03	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.81/16.03	             aa(arrow_411405190le_alt, 
15.81/16.03	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.81/16.03	               aa(arrow_411405190le_alt, 
15.81/16.03	                 fun(arrow_411405190le_alt, 
15.81/16.03	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.81/16.03	                 product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), 
15.81/16.03	                 X0), x), l)
15.81/16.03	       | member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.81/16.03	           aa(arrow_411405190le_alt, 
15.81/16.03	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.81/16.03	             aa(arrow_411405190le_alt, 
15.81/16.03	               fun(arrow_411405190le_alt, 
15.81/16.03	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.81/16.03	               product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), 
15.81/16.03	               X0), y), l)),
15.81/16.03	    inference('demod', [status(thm)], ['2', '3'])).
15.81/16.03	tff('5', plain,
15.81/16.03	    ![X0 : arrow_411405190le_alt]:
15.81/16.03	      (member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.81/16.03	         aa(arrow_411405190le_alt, 
15.81/16.03	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.81/16.03	           aa(arrow_411405190le_alt, 
15.81/16.03	             fun(arrow_411405190le_alt, 
15.81/16.03	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.81/16.03	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), X0), 
15.81/16.03	           y), l)
15.81/16.03	       | ~ member(
15.81/16.03	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.81/16.03	             aa(arrow_411405190le_alt, 
15.81/16.03	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.81/16.03	               aa(arrow_411405190le_alt, 
15.81/16.03	                 fun(arrow_411405190le_alt, 
15.81/16.03	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.81/16.03	                 product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), 
15.81/16.03	                 X0), x), l)),
15.81/16.03	    inference('simplify', [status(thm)], ['4'])).
15.81/16.03	tff(conj_2, axiom,
15.81/16.03	  (![X:arrow_411405190le_alt]:
15.81/16.03	     (~
15.81/16.03	       member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
15.81/16.03	              aa(arrow_411405190le_alt,
15.81/16.03	                 product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
15.81/16.03	                 aa(arrow_411405190le_alt,
15.81/16.03	                    fun(arrow_411405190le_alt,
15.81/16.03	                        product_prod(arrow_411405190le_alt,
15.81/16.03	                                     arrow_411405190le_alt)),
15.81/16.03	                    product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),
15.81/16.03	                    X),
15.81/16.03	                 X),
15.81/16.03	              l)))).
15.81/16.03	tff('6', plain,
15.81/16.03	    ![X382 : arrow_411405190le_alt]:
15.81/16.03	      ~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.81/16.03	          aa(arrow_411405190le_alt, 
15.81/16.03	            product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.81/16.03	            aa(arrow_411405190le_alt, 
15.81/16.03	              fun(arrow_411405190le_alt, 
15.81/16.03	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.81/16.03	              product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), 
15.81/16.03	              X382), X382), l),
15.81/16.03	    inference('cnf', [status(esa)], [conj_2])).
15.81/16.03	tff('7', plain,
15.81/16.03	    (~ $true
15.81/16.03	     | ~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.81/16.03	           aa(arrow_411405190le_alt, 
15.81/16.03	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.81/16.03	             aa(arrow_411405190le_alt, 
15.81/16.03	               fun(arrow_411405190le_alt, 
15.81/16.03	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.81/16.03	               product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), y), 
15.81/16.03	             x), l)),
15.81/16.03	    inference('sup-', [status(thm)], ['5', '6'])).
15.81/16.03	tff(conj_4, axiom,
15.81/16.03	  (member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
15.81/16.03	          aa(arrow_411405190le_alt,
15.81/16.03	             product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
15.81/16.03	             aa(arrow_411405190le_alt,
15.81/16.03	                fun(arrow_411405190le_alt,
15.81/16.03	                    product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),
15.81/16.03	                product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),y),
15.81/16.03	             x),
15.81/16.03	          l))).
15.81/16.03	tff('8', plain,
15.81/16.03	    member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.81/16.03	      aa(arrow_411405190le_alt, 
15.81/16.03	        product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
15.81/16.03	        aa(arrow_411405190le_alt, 
15.81/16.03	          fun(arrow_411405190le_alt, 
15.81/16.03	            product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
15.81/16.03	          product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), y), x), 
15.81/16.03	      l),
15.81/16.03	    inference('cnf', [status(esa)], [conj_4])).
15.81/16.03	tff('9', plain, (~ $true | ~ $true),
15.81/16.03	    inference('demod', [status(thm)], ['7', '8'])).
15.81/16.03	tff('10', plain, $false, inference('simplify', [status(thm)], ['9'])).
15.81/16.03	
15.81/16.03	% SZS output end Refutation
15.81/16.03	EOF
