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_int
0.00/0.00	% Ordering    : rpo6
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   : n119.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 13:40:09 CST 2018
28.67/28.91	% done 1033 iterations in 28.704s
28.67/28.91	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
28.67/28.91	% SZS output start Refutation
28.67/28.91	tff(conj_5, axiom,
28.67/28.91	  (member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
28.67/28.91	          aa(arrow_411405190le_alt,
28.67/28.91	             product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
28.67/28.91	             aa(arrow_411405190le_alt,
28.67/28.91	                fun(arrow_411405190le_alt,
28.67/28.91	                    product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),
28.67/28.91	                product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),
28.67/28.91	             y),
28.67/28.91	          l))).
28.67/28.91	tff('0', plain,
28.67/28.91	    member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
28.67/28.91	      aa(arrow_411405190le_alt, 
28.67/28.91	        product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
28.67/28.91	        aa(arrow_411405190le_alt, 
28.67/28.91	          fun(arrow_411405190le_alt, 
28.67/28.91	            product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
28.67/28.91	          product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), x), y), 
28.67/28.91	      l),
28.67/28.91	    inference('cnf', [status(esa)], [conj_5])).
28.67/28.91	tff(fact_2_trans__def, axiom,
28.67/28.91	  (![A1:$tType,R:fun(product_prod(A1,A1),bool)]:
28.67/28.91	     (trans(A1,R) <=>
28.67/28.91	      (![X2:A1,Y2:A1,Z2:A1]:
28.67/28.91	         (member(product_prod(A1,A1),
28.67/28.91	                 aa(A1,product_prod(A1,A1),
28.67/28.91	                    aa(A1,fun(A1,product_prod(A1,A1)),product_Pair(A1,A1),X2),
28.67/28.91	                    Y2),
28.67/28.91	                 R) =>
28.67/28.91	          (member(product_prod(A1,A1),
28.67/28.91	                  aa(A1,product_prod(A1,A1),
28.67/28.91	                     aa(A1,fun(A1,product_prod(A1,A1)),product_Pair(A1,A1),Y2),
28.67/28.91	                     Z2),
28.67/28.91	                  R) =>
28.67/28.91	           member(product_prod(A1,A1),
28.67/28.91	                  aa(A1,product_prod(A1,A1),
28.67/28.91	                     aa(A1,fun(A1,product_prod(A1,A1)),product_Pair(A1,A1),X2),
28.67/28.91	                     Z2),
28.67/28.91	                  R))))))).
28.67/28.91	tff('1', plain,
28.67/28.91	    ![X14 : $tType, X15 : X14, X16 : X14, 
28.67/28.91	      X17 : fun(product_prod(X14, X14), bool), X18 : X14]:
28.67/28.91	      (~ member(product_prod(X14, X14), 
28.67/28.91	           aa(X14, product_prod(X14, X14), 
28.67/28.91	             aa(X14, fun(X14, product_prod(X14, X14)), 
28.67/28.91	               product_Pair(X14, X14), X15), X16), X17)
28.67/28.91	       | member(product_prod(X14, X14), 
28.67/28.91	           aa(X14, product_prod(X14, X14), 
28.67/28.91	             aa(X14, fun(X14, product_prod(X14, X14)), 
28.67/28.91	               product_Pair(X14, X14), X18), X16), X17)
28.67/28.91	       | ~ member(product_prod(X14, X14), 
28.67/28.91	             aa(X14, product_prod(X14, X14), 
28.67/28.91	               aa(X14, fun(X14, product_prod(X14, X14)), 
28.67/28.91	                 product_Pair(X14, X14), X18), X15), X17)
28.67/28.91	       | ~ trans(X14, X17)),
28.67/28.91	    inference('cnf', [status(esa)], [fact_2_trans__def])).
28.67/28.91	tff('2', plain,
28.67/28.91	    ![X0 : arrow_411405190le_alt]:
28.67/28.91	      (~ $true
28.67/28.91	       | ~ trans(arrow_411405190le_alt, l)
28.67/28.91	       | ~ member(
28.67/28.91	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
28.67/28.91	             aa(arrow_411405190le_alt, 
28.67/28.91	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
28.67/28.91	               aa(arrow_411405190le_alt, 
28.67/28.91	                 fun(arrow_411405190le_alt, 
28.67/28.91	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
28.67/28.91	                 product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), 
28.67/28.91	                 X0), x), l)
28.67/28.91	       | member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
28.67/28.91	           aa(arrow_411405190le_alt, 
28.67/28.91	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
28.67/28.91	             aa(arrow_411405190le_alt, 
28.67/28.91	               fun(arrow_411405190le_alt, 
28.67/28.91	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
28.67/28.91	               product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), 
28.67/28.91	               X0), y), l)),
28.67/28.91	    inference('sup-', [status(thm)], ['0', '1'])).
28.67/28.91	tff(conj_1, axiom, (trans(arrow_411405190le_alt,l))).
28.67/28.91	tff('3', plain, trans(arrow_411405190le_alt, l),
28.67/28.91	    inference('cnf', [status(esa)], [conj_1])).
28.67/28.91	tff('4', plain,
28.67/28.91	    ![X0 : arrow_411405190le_alt]:
28.67/28.91	      (~ $true
28.67/28.91	       | ~ $true
28.67/28.91	       | ~ member(
28.67/28.91	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
28.67/28.91	             aa(arrow_411405190le_alt, 
28.67/28.91	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
28.67/28.91	               aa(arrow_411405190le_alt, 
28.67/28.91	                 fun(arrow_411405190le_alt, 
28.67/28.91	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
28.67/28.91	                 product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), 
28.67/28.91	                 X0), x), l)
28.67/28.91	       | member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
28.67/28.91	           aa(arrow_411405190le_alt, 
28.67/28.91	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
28.67/28.91	             aa(arrow_411405190le_alt, 
28.67/28.91	               fun(arrow_411405190le_alt, 
28.67/28.91	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
28.67/28.91	               product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), 
28.67/28.91	               X0), y), l)),
28.67/28.91	    inference('demod', [status(thm)], ['2', '3'])).
28.67/28.91	tff('5', plain,
28.67/28.91	    ![X0 : arrow_411405190le_alt]:
28.67/28.91	      (member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
28.67/28.91	         aa(arrow_411405190le_alt, 
28.67/28.91	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
28.67/28.91	           aa(arrow_411405190le_alt, 
28.67/28.91	             fun(arrow_411405190le_alt, 
28.67/28.91	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
28.67/28.91	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), X0), 
28.67/28.91	           y), l)
28.67/28.91	       | ~ member(
28.67/28.91	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
28.67/28.91	             aa(arrow_411405190le_alt, 
28.67/28.91	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
28.67/28.91	               aa(arrow_411405190le_alt, 
28.67/28.91	                 fun(arrow_411405190le_alt, 
28.67/28.91	                   product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
28.67/28.91	                 product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), 
28.67/28.91	                 X0), x), l)),
28.67/28.91	    inference('simplify', [status(thm)], ['4'])).
28.67/28.91	tff(conj_2, axiom,
28.67/28.91	  (![X:arrow_411405190le_alt]:
28.67/28.91	     (~
28.67/28.91	       member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
28.67/28.91	              aa(arrow_411405190le_alt,
28.67/28.91	                 product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
28.67/28.91	                 aa(arrow_411405190le_alt,
28.67/28.91	                    fun(arrow_411405190le_alt,
28.67/28.91	                        product_prod(arrow_411405190le_alt,
28.67/28.91	                                     arrow_411405190le_alt)),
28.67/28.91	                    product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),
28.67/28.91	                    X),
28.67/28.91	                 X),
28.67/28.91	              l)))).
28.67/28.91	tff('6', plain,
28.67/28.91	    ![X382 : arrow_411405190le_alt]:
28.67/28.91	      ~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
28.67/28.91	          aa(arrow_411405190le_alt, 
28.67/28.91	            product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
28.67/28.91	            aa(arrow_411405190le_alt, 
28.67/28.91	              fun(arrow_411405190le_alt, 
28.67/28.91	                product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
28.67/28.91	              product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), 
28.67/28.91	              X382), X382), l),
28.67/28.91	    inference('cnf', [status(esa)], [conj_2])).
28.67/28.91	tff('7', plain,
28.67/28.91	    (~ $true
28.67/28.91	     | ~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
28.67/28.91	           aa(arrow_411405190le_alt, 
28.67/28.91	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
28.67/28.91	             aa(arrow_411405190le_alt, 
28.67/28.91	               fun(arrow_411405190le_alt, 
28.67/28.91	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
28.67/28.91	               product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), y), 
28.67/28.91	             x), l)),
28.67/28.91	    inference('sup-', [status(thm)], ['5', '6'])).
28.67/28.91	tff(conj_4, axiom,
28.67/28.91	  (member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
28.67/28.91	          aa(arrow_411405190le_alt,
28.67/28.91	             product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
28.67/28.91	             aa(arrow_411405190le_alt,
28.67/28.91	                fun(arrow_411405190le_alt,
28.67/28.91	                    product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),
28.67/28.91	                product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),y),
28.67/28.91	             x),
28.67/28.91	          l))).
28.67/28.91	tff('8', plain,
28.67/28.91	    member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
28.67/28.91	      aa(arrow_411405190le_alt, 
28.67/28.91	        product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
28.67/28.91	        aa(arrow_411405190le_alt, 
28.67/28.91	          fun(arrow_411405190le_alt, 
28.67/28.91	            product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
28.67/28.91	          product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), y), x), 
28.67/28.91	      l),
28.67/28.91	    inference('cnf', [status(esa)], [conj_4])).
28.67/28.91	tff('9', plain, (~ $true | ~ $true),
28.67/28.91	    inference('demod', [status(thm)], ['7', '8'])).
28.67/28.91	tff('10', plain, $false, inference('simplify', [status(thm)], ['9'])).
28.67/28.91	
28.67/28.91	% SZS output end Refutation
28.67/28.91	EOF
