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_ext
0.00/0.01	% Ordering    : rpo6
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   : 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 08:33:23 CST 2018
1.52/1.70	% done 957 iterations in 1.499s
1.52/1.70	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
1.52/1.70	% SZS output start Refutation
1.52/1.71	tff(conj_0, conjecture,
1.52/1.71	  (div_mod(int,
1.52/1.71	           aa(int,int,aa(int,fun(int,int),plus_plus(int),l),
1.52/1.71	              aa(int,int,aa(int,fun(int,int),plus_plus(int),i),
1.52/1.71	                 iprod(int,ks,e))),
1.52/1.71	           d) =
1.52/1.71	   div_mod(int,
1.52/1.71	           aa(int,int,aa(int,fun(int,int),plus_plus(int),div_mod(int,l,d)),
1.52/1.71	              div_mod(int,
1.52/1.71	                      aa(int,int,aa(int,fun(int,int),plus_plus(int),i),
1.52/1.71	                         iprod(int,ks,e)),
1.52/1.71	                      d)),
1.52/1.71	           d))).
1.52/1.71	tff(zf_stmt_0, negated_conjecture,
1.52/1.71	  (div_mod(int,
1.52/1.71	           aa(int,int,aa(int,fun(int,int),plus_plus(int),l),
1.52/1.71	              aa(int,int,aa(int,fun(int,int),plus_plus(int),i),
1.52/1.71	                 iprod(int,ks,e))),
1.52/1.71	           d) !=
1.52/1.71	   div_mod(int,
1.52/1.71	           aa(int,int,aa(int,fun(int,int),plus_plus(int),div_mod(int,l,d)),
1.52/1.71	              div_mod(int,
1.52/1.71	                      aa(int,int,aa(int,fun(int,int),plus_plus(int),i),
1.52/1.71	                         iprod(int,ks,e)),
1.52/1.71	                      d)),
1.52/1.71	           d))).
1.52/1.71	tff('0', plain,
1.52/1.71	    div_mod(int, 
1.52/1.71	      aa(int, int, aa(int, fun(int, int), plus_plus(int), l), 
1.52/1.71	        aa(int, int, aa(int, fun(int, int), plus_plus(int), i), 
1.52/1.71	          iprod(int, ks, e))), d)
1.52/1.71	     != div_mod(int, 
1.52/1.71	          aa(int, int, 
1.52/1.71	            aa(int, fun(int, int), plus_plus(int), div_mod(int, l, d)), 
1.52/1.71	            div_mod(int, 
1.52/1.71	              aa(int, int, aa(int, fun(int, int), plus_plus(int), i), 
1.52/1.71	                iprod(int, ks, e)), d)), d),
1.52/1.71	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.52/1.71	tff(arity_Int_Oint___Divides_Osemiring__div, axiom, (semiring_div(int))).
1.52/1.71	tff('1', plain, semiring_div(int),
1.52/1.71	    inference('cnf', [status(esa)], [arity_Int_Oint___Divides_Osemiring__div])).
1.52/1.71	tff(fact_9_mod__add__left__eq, axiom,
1.52/1.71	  (![A:$tType]:
1.52/1.71	     (semiring_div(A) =>
1.52/1.71	      (![C1:A,B2:A,A1:A]:
1.52/1.71	         (div_mod(A,aa(A,A,aa(A,fun(A,A),plus_plus(A),A1),B2),C1) =
1.52/1.71	          div_mod(A,aa(A,A,aa(A,fun(A,A),plus_plus(A),div_mod(A,A1,C1)),B2),
1.52/1.71	                  C1)))))).
1.52/1.71	tff('2', plain,
1.52/1.71	    ![X27 : $tType, X28 : X27, X29 : X27, X30 : X27]:
1.52/1.71	      (div_mod(X27, 
1.52/1.71	         aa(X27, X27, aa(X27, fun(X27, X27), plus_plus(X27), X28), X30), X29)
1.52/1.71	        = div_mod(X27, 
1.52/1.71	            aa(X27, X27, 
1.52/1.71	              aa(X27, fun(X27, X27), plus_plus(X27), div_mod(X27, X28, X29)), 
1.52/1.71	              X30), X29)
1.52/1.71	       | ~ semiring_div(X27)),
1.52/1.71	    inference('cnf', [status(esa)], [fact_9_mod__add__left__eq])).
1.52/1.71	tff('3', plain,
1.52/1.71	    ![X0 : int, X1 : int, X2 : int]:
1.52/1.71	      (~ $true
1.52/1.71	       | div_mod(int, 
1.52/1.71	           aa(int, int, aa(int, fun(int, int), plus_plus(int), X2), X1), X0)
1.52/1.71	          = div_mod(int, 
1.52/1.71	              aa(int, int, 
1.52/1.71	                aa(int, fun(int, int), plus_plus(int), div_mod(int, X2, X0)), 
1.52/1.71	                X1), X0)),
1.52/1.71	    inference('sup-', [status(thm)], ['1', '2'])).
1.52/1.71	tff('4', plain,
1.52/1.71	    ![X0 : int, X1 : int, X2 : int]:
1.52/1.71	      div_mod(int, 
1.52/1.71	        aa(int, int, aa(int, fun(int, int), plus_plus(int), X2), X1), X0)
1.52/1.71	       = div_mod(int, 
1.52/1.71	           aa(int, int, 
1.52/1.71	             aa(int, fun(int, int), plus_plus(int), div_mod(int, X2, X0)), 
1.52/1.71	             X1), X0),
1.52/1.71	    inference('simplify', [status(thm)], ['3'])).
1.52/1.71	tff(fact_8_mod__add__right__eq, axiom,
1.52/1.71	  (![A:$tType]:
1.52/1.71	     (semiring_div(A) =>
1.52/1.71	      (![C1:A,B2:A,A1:A]:
1.52/1.71	         (div_mod(A,aa(A,A,aa(A,fun(A,A),plus_plus(A),A1),B2),C1) =
1.52/1.71	          div_mod(A,aa(A,A,aa(A,fun(A,A),plus_plus(A),A1),div_mod(A,B2,C1)),
1.52/1.71	                  C1)))))).
1.52/1.71	tff('5', plain,
1.52/1.71	    ![X23 : $tType, X24 : X23, X25 : X23, X26 : X23]:
1.52/1.71	      (div_mod(X23, 
1.52/1.71	         aa(X23, X23, aa(X23, fun(X23, X23), plus_plus(X23), X24), X25), X26)
1.52/1.71	        = div_mod(X23, 
1.52/1.71	            aa(X23, X23, aa(X23, fun(X23, X23), plus_plus(X23), X24), 
1.52/1.71	              div_mod(X23, X25, X26)), X26)
1.52/1.71	       | ~ semiring_div(X23)),
1.52/1.71	    inference('cnf', [status(esa)], [fact_8_mod__add__right__eq])).
1.52/1.71	tff('6', plain,
1.52/1.71	    ![X0 : int, X1 : int, X2 : int]:
1.52/1.71	      (~ $true
1.52/1.71	       | div_mod(int, 
1.52/1.71	           aa(int, int, aa(int, fun(int, int), plus_plus(int), X2), X1), X0)
1.52/1.71	          = div_mod(int, 
1.52/1.71	              aa(int, int, aa(int, fun(int, int), plus_plus(int), X2), 
1.52/1.71	                div_mod(int, X1, X0)), X0)),
1.52/1.71	    inference('sup-', [status(thm)], ['1', '5'])).
1.52/1.71	tff('7', plain,
1.52/1.71	    ![X0 : int, X1 : int, X2 : int]:
1.52/1.71	      div_mod(int, 
1.52/1.71	        aa(int, int, aa(int, fun(int, int), plus_plus(int), X2), X1), X0)
1.52/1.71	       = div_mod(int, 
1.52/1.71	           aa(int, int, aa(int, fun(int, int), plus_plus(int), X2), 
1.52/1.71	             div_mod(int, X1, X0)), X0),
1.52/1.71	    inference('simplify', [status(thm)], ['6'])).
1.52/1.71	tff('8', plain,
1.52/1.71	    div_mod(int, 
1.52/1.71	      aa(int, int, aa(int, fun(int, int), plus_plus(int), l), 
1.52/1.71	        aa(int, int, aa(int, fun(int, int), plus_plus(int), i), 
1.52/1.71	          iprod(int, ks, e))), d)
1.52/1.71	     != div_mod(int, 
1.52/1.71	          aa(int, int, aa(int, fun(int, int), plus_plus(int), l), 
1.52/1.71	            aa(int, int, aa(int, fun(int, int), plus_plus(int), i), 
1.52/1.71	              iprod(int, ks, e))), d),
1.52/1.71	    inference('demod', [status(thm)], ['0', '4', '7'])).
1.52/1.71	tff('9', plain, $false, inference('simplify', [status(thm)], ['8'])).
1.52/1.71	
1.52/1.71	% SZS output end Refutation
1.52/1.71	EOF
