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    : fo
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-ho \
0.00/0.01	  --no-avatar \
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	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.19	% Computer   : n111.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
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 08:34:38 CST 2018
2.16/2.37	% done 1332 iterations in 2.170s
2.16/2.37	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
2.16/2.37	% SZS output start Refutation
2.16/2.37	tff(fact_1_calculation, axiom,
2.16/2.37	  (div_mod(int,
2.16/2.37	           aa(int,int,aa(int,fun(int,int),plus_plus(int),l),
2.16/2.37	              aa(int,int,aa(int,fun(int,int),plus_plus(int),i),
2.16/2.37	                 iprod(int,ks,e))),
2.16/2.37	           d) =
2.16/2.37	   div_mod(int,
2.16/2.37	           aa(int,int,aa(int,fun(int,int),plus_plus(int),div_mod(int,l,d)),
2.16/2.37	              div_mod(int,
2.16/2.37	                      aa(int,int,aa(int,fun(int,int),plus_plus(int),j),
2.16/2.37	                         iprod(int,ks,e)),
2.16/2.37	                      d)),
2.16/2.37	           d))).
2.16/2.37	tff('0', plain,
2.16/2.37	    div_mod(int, 
2.16/2.37	      aa(int, int, aa(int, fun(int, int), plus_plus(int), l), 
2.16/2.37	        aa(int, int, aa(int, fun(int, int), plus_plus(int), i), 
2.16/2.37	          iprod(int, ks, e))), d)
2.16/2.37	     = div_mod(int, 
2.16/2.37	         aa(int, int, 
2.16/2.37	           aa(int, fun(int, int), plus_plus(int), div_mod(int, l, d)), 
2.16/2.37	           div_mod(int, 
2.16/2.37	             aa(int, int, aa(int, fun(int, int), plus_plus(int), j), 
2.16/2.37	               iprod(int, ks, e)), d)), d),
2.16/2.37	    inference('cnf', [status(esa)], [fact_1_calculation])).
2.16/2.37	tff(arity_Int_Oint___Divides_Osemiring__div, axiom, (semiring_div(int))).
2.16/2.37	tff('1', plain, semiring_div(int),
2.16/2.37	    inference('cnf', [status(esa)], [arity_Int_Oint___Divides_Osemiring__div])).
2.16/2.37	tff(fact_11_mod__add__right__eq, axiom,
2.16/2.37	  (![A1:$tType]:
2.16/2.37	     (semiring_div(A1) =>
2.16/2.37	      (![C:A1,B1:A1,A:A1]:
2.16/2.37	         (div_mod(A1,aa(A1,A1,aa(A1,fun(A1,A1),plus_plus(A1),A),B1),C) =
2.16/2.37	          div_mod(A1,
2.16/2.37	                  aa(A1,A1,aa(A1,fun(A1,A1),plus_plus(A1),A),div_mod(A1,B1,C)),
2.16/2.37	                  C)))))).
2.16/2.37	tff('2', plain,
2.16/2.37	    ![X23 : $tType, X24 : X23, X25 : X23, X26 : X23]:
2.16/2.37	      (div_mod(X23, 
2.16/2.37	         aa(X23, X23, aa(X23, fun(X23, X23), plus_plus(X23), X24), X25), X26)
2.16/2.37	        = div_mod(X23, 
2.16/2.37	            aa(X23, X23, aa(X23, fun(X23, X23), plus_plus(X23), X24), 
2.16/2.37	              div_mod(X23, X25, X26)), X26)
2.16/2.37	       | ~ semiring_div(X23)),
2.16/2.37	    inference('cnf', [status(esa)], [fact_11_mod__add__right__eq])).
2.16/2.37	tff('3', plain,
2.16/2.37	    ![X0 : int, X1 : int, X2 : int]:
2.16/2.37	      (~ $true
2.16/2.37	       | div_mod(int, 
2.16/2.37	           aa(int, int, aa(int, fun(int, int), plus_plus(int), X2), X1), X0)
2.16/2.37	          = div_mod(int, 
2.16/2.37	              aa(int, int, aa(int, fun(int, int), plus_plus(int), X2), 
2.16/2.37	                div_mod(int, X1, X0)), X0)),
2.16/2.37	    inference('sup-', [status(thm)], ['1', '2'])).
2.16/2.37	tff('4', plain,
2.16/2.37	    ![X0 : int, X1 : int, X2 : int]:
2.16/2.37	      div_mod(int, 
2.16/2.37	        aa(int, int, aa(int, fun(int, int), plus_plus(int), X2), X1), X0)
2.16/2.37	       = div_mod(int, 
2.16/2.37	           aa(int, int, aa(int, fun(int, int), plus_plus(int), X2), 
2.16/2.37	             div_mod(int, X1, X0)), X0),
2.16/2.37	    inference('simplify', [status(thm)], ['3'])).
2.16/2.37	tff('5', plain,
2.16/2.37	    div_mod(int, 
2.16/2.37	      aa(int, int, aa(int, fun(int, int), plus_plus(int), l), 
2.16/2.37	        aa(int, int, aa(int, fun(int, int), plus_plus(int), i), 
2.16/2.37	          iprod(int, ks, e))), d)
2.16/2.37	     = div_mod(int, 
2.16/2.37	         aa(int, int, 
2.16/2.37	           aa(int, fun(int, int), plus_plus(int), div_mod(int, l, d)), 
2.16/2.37	           aa(int, int, aa(int, fun(int, int), plus_plus(int), j), 
2.16/2.37	             iprod(int, ks, e))), d),
2.16/2.37	    inference('demod', [status(thm)], ['0', '4'])).
2.16/2.37	tff(arity_Int_Oint___Rings_Ocomm__semiring__1, axiom, (comm_semiring_1(int))).
2.16/2.37	tff('6', plain, comm_semiring_1(int),
2.16/2.37	    inference('cnf', [status(esa)],
2.16/2.37	              [arity_Int_Oint___Rings_Ocomm__semiring__1])).
2.16/2.37	tff(fact_30_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J, axiom,
2.16/2.37	  (![A1:$tType]:
2.16/2.37	     (comm_semiring_1(A1) =>
2.16/2.37	      (![C:A1,A:A1]:
2.16/2.37	         (aa(A1,A1,aa(A1,fun(A1,A1),plus_plus(A1),A),C) =
2.16/2.37	          aa(A1,A1,aa(A1,fun(A1,A1),plus_plus(A1),C),A)))))).
2.16/2.37	tff('7', plain,
2.16/2.37	    ![X91 : $tType, X92 : X91, X93 : X91]:
2.16/2.37	      (aa(X91, X91, aa(X91, fun(X91, X91), plus_plus(X91), X93), X92)
2.16/2.37	        = aa(X91, X91, aa(X91, fun(X91, X91), plus_plus(X91), X92), X93)
2.16/2.37	       | ~ comm_semiring_1(X91)),
2.16/2.37	    inference('cnf', [status(esa)],
2.16/2.37	              [fact_30_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J])).
2.16/2.37	tff('8', plain,
2.16/2.37	    ![X0 : int, X1 : int]:
2.16/2.37	      (~ $true
2.16/2.37	       | aa(int, int, aa(int, fun(int, int), plus_plus(int), X1), X0)
2.16/2.37	          = aa(int, int, aa(int, fun(int, int), plus_plus(int), X0), X1)),
2.16/2.37	    inference('sup-', [status(thm)], ['6', '7'])).
2.16/2.37	tff('9', plain,
2.16/2.37	    ![X0 : int, X1 : int]:
2.16/2.37	      aa(int, int, aa(int, fun(int, int), plus_plus(int), X1), X0)
2.16/2.37	       = aa(int, int, aa(int, fun(int, int), plus_plus(int), X0), X1),
2.16/2.37	    inference('simplify', [status(thm)], ['8'])).
2.16/2.37	tff('10', plain,
2.16/2.37	    div_mod(int, 
2.16/2.37	      aa(int, int, 
2.16/2.37	        aa(int, fun(int, int), plus_plus(int), 
2.16/2.37	          aa(int, int, 
2.16/2.37	            aa(int, fun(int, int), plus_plus(int), iprod(int, ks, e)), i)), 
2.16/2.37	        l), d)
2.16/2.37	     = div_mod(int, 
2.16/2.37	         aa(int, int, 
2.16/2.37	           aa(int, fun(int, int), plus_plus(int), 
2.16/2.37	             aa(int, int, 
2.16/2.37	               aa(int, fun(int, int), plus_plus(int), iprod(int, ks, e)), j)), 
2.16/2.37	           l), d),
2.16/2.37	    inference('demod', [status(thm)], ['5', '9', '9', '9', '9', '4'])).
2.16/2.37	tff(conj_0, conjecture,
2.16/2.37	  (div_mod(int,
2.16/2.37	           aa(int,int,aa(int,fun(int,int),plus_plus(int),div_mod(int,l,d)),
2.16/2.37	              div_mod(int,
2.16/2.37	                      aa(int,int,aa(int,fun(int,int),plus_plus(int),j),
2.16/2.37	                         iprod(int,ks,e)),
2.16/2.37	                      d)),
2.16/2.37	           d) =
2.16/2.37	   div_mod(int,
2.16/2.37	           aa(int,int,aa(int,fun(int,int),plus_plus(int),l),
2.16/2.37	              aa(int,int,aa(int,fun(int,int),plus_plus(int),j),
2.16/2.37	                 iprod(int,ks,e))),
2.16/2.37	           d))).
2.16/2.37	tff(zf_stmt_0, negated_conjecture,
2.16/2.37	  (div_mod(int,
2.16/2.37	           aa(int,int,aa(int,fun(int,int),plus_plus(int),div_mod(int,l,d)),
2.16/2.37	              div_mod(int,
2.16/2.37	                      aa(int,int,aa(int,fun(int,int),plus_plus(int),j),
2.16/2.37	                         iprod(int,ks,e)),
2.16/2.37	                      d)),
2.16/2.37	           d) !=
2.16/2.37	   div_mod(int,
2.16/2.37	           aa(int,int,aa(int,fun(int,int),plus_plus(int),l),
2.16/2.37	              aa(int,int,aa(int,fun(int,int),plus_plus(int),j),
2.16/2.37	                 iprod(int,ks,e))),
2.16/2.37	           d))).
2.16/2.37	tff('11', plain,
2.16/2.37	    div_mod(int, 
2.16/2.37	      aa(int, int, 
2.16/2.37	        aa(int, fun(int, int), plus_plus(int), div_mod(int, l, d)), 
2.16/2.37	        div_mod(int, 
2.16/2.37	          aa(int, int, aa(int, fun(int, int), plus_plus(int), j), 
2.16/2.37	            iprod(int, ks, e)), d)), d)
2.16/2.37	     != div_mod(int, 
2.16/2.37	          aa(int, int, aa(int, fun(int, int), plus_plus(int), l), 
2.16/2.37	            aa(int, int, aa(int, fun(int, int), plus_plus(int), j), 
2.16/2.37	              iprod(int, ks, e))), d),
2.16/2.37	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.16/2.37	tff(fact_4__096i_Amod_Ad_A_061_Aj_Amod_Ad_096, axiom,
2.16/2.37	  (div_mod(int,i,d) = div_mod(int,j,d))).
2.16/2.37	tff('12', plain, div_mod(int, i, d) = div_mod(int, j, d),
2.16/2.37	    inference('cnf', [status(esa)],
2.16/2.37	              [fact_4__096i_Amod_Ad_A_061_Aj_Amod_Ad_096])).
2.16/2.37	tff('13', plain,
2.16/2.37	    ![X0 : int]:
2.16/2.37	      div_mod(int, 
2.16/2.37	        aa(int, int, aa(int, fun(int, int), plus_plus(int), X0), j), d)
2.16/2.37	       = div_mod(int, 
2.16/2.37	           aa(int, int, aa(int, fun(int, int), plus_plus(int), X0), 
2.16/2.37	             div_mod(int, i, d)), d),
2.16/2.37	    inference('sup+', [status(thm)], ['12', '4'])).
2.16/2.37	tff('14', plain,
2.16/2.37	    ![X0 : int]:
2.16/2.37	      div_mod(int, 
2.16/2.37	        aa(int, int, aa(int, fun(int, int), plus_plus(int), X0), j), d)
2.16/2.37	       = div_mod(int, 
2.16/2.37	           aa(int, int, aa(int, fun(int, int), plus_plus(int), X0), i), d),
2.16/2.37	    inference('demod', [status(thm)], ['13', '4'])).
2.16/2.37	tff(fact_12_mod__add__left__eq, axiom,
2.16/2.37	  (![A1:$tType]:
2.16/2.37	     (semiring_div(A1) =>
2.16/2.37	      (![C:A1,B1:A1,A:A1]:
2.16/2.37	         (div_mod(A1,aa(A1,A1,aa(A1,fun(A1,A1),plus_plus(A1),A),B1),C) =
2.16/2.37	          div_mod(A1,
2.16/2.37	                  aa(A1,A1,aa(A1,fun(A1,A1),plus_plus(A1),div_mod(A1,A,C)),B1),
2.16/2.37	                  C)))))).
2.16/2.37	tff('15', plain,
2.16/2.37	    ![X27 : $tType, X28 : X27, X29 : X27, X30 : X27]:
2.16/2.37	      (div_mod(X27, 
2.16/2.37	         aa(X27, X27, aa(X27, fun(X27, X27), plus_plus(X27), X28), X30), X29)
2.16/2.37	        = div_mod(X27, 
2.16/2.37	            aa(X27, X27, 
2.16/2.37	              aa(X27, fun(X27, X27), plus_plus(X27), div_mod(X27, X28, X29)), 
2.16/2.37	              X30), X29)
2.16/2.37	       | ~ semiring_div(X27)),
2.16/2.37	    inference('cnf', [status(esa)], [fact_12_mod__add__left__eq])).
2.16/2.37	tff('16', plain,
2.16/2.37	    ![X0 : int, X1 : int, X2 : int]:
2.16/2.37	      (~ $true
2.16/2.37	       | div_mod(int, 
2.16/2.37	           aa(int, int, aa(int, fun(int, int), plus_plus(int), X2), X1), X0)
2.16/2.37	          = div_mod(int, 
2.16/2.37	              aa(int, int, 
2.16/2.37	                aa(int, fun(int, int), plus_plus(int), div_mod(int, X2, X0)), 
2.16/2.37	                X1), X0)),
2.16/2.37	    inference('sup-', [status(thm)], ['1', '15'])).
2.16/2.37	tff('17', plain,
2.16/2.37	    ![X0 : int, X1 : int, X2 : int]:
2.16/2.37	      div_mod(int, 
2.16/2.37	        aa(int, int, aa(int, fun(int, int), plus_plus(int), X2), X1), X0)
2.16/2.37	       = div_mod(int, 
2.16/2.37	           aa(int, int, 
2.16/2.37	             aa(int, fun(int, int), plus_plus(int), div_mod(int, X2, X0)), 
2.16/2.37	             X1), X0),
2.16/2.37	    inference('simplify', [status(thm)], ['16'])).
2.16/2.37	tff('18', plain,
2.16/2.37	    div_mod(int, 
2.16/2.37	      aa(int, int, 
2.16/2.37	        aa(int, fun(int, int), plus_plus(int), 
2.16/2.37	          aa(int, int, 
2.16/2.37	            aa(int, fun(int, int), plus_plus(int), iprod(int, ks, e)), i)), 
2.16/2.37	        l), d)
2.16/2.37	     != div_mod(int, 
2.16/2.37	          aa(int, int, 
2.16/2.37	            aa(int, fun(int, int), plus_plus(int), 
2.16/2.37	              aa(int, int, 
2.16/2.37	                aa(int, fun(int, int), plus_plus(int), iprod(int, ks, e)), j)), 
2.16/2.37	            l), d),
2.16/2.37	    inference('demod', [status(thm)],
2.16/2.37	              ['11', '9', '14', '9', '17', '4', '9', '9'])).
2.16/2.37	tff('19', plain, $false,
2.16/2.37	    inference('simplify_reflect-', [status(thm)], ['10', '18'])).
2.16/2.37	
2.16/2.37	% SZS output end Refutation
2.16/2.38	EOF
