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    : supatvars_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	  --sup-at-vars \
0.00/0.01	  --restrict-hidden-sup-at-vars \
0.00/0.01	  --ho-ext-axiom \
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   : n113.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 08:27:38 CST 2018
3.71/3.98	% done 1466 iterations in 3.767s
3.71/3.98	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
3.71/3.98	% SZS output start Refutation
3.71/3.98	tff(conj_0, conjecture,
3.71/3.98	  (div_mod(int,
3.71/3.98	           aa(int,int,aa(int,fun(int,int),plus_plus(int),l),
3.71/3.98	              aa(int,int,aa(int,fun(int,int),plus_plus(int),i),
3.71/3.98	                 iprod(int,ks,e))),
3.71/3.98	           d) =
3.71/3.98	   div_mod(int,
3.71/3.98	           aa(int,int,aa(int,fun(int,int),plus_plus(int),l),
3.71/3.98	              aa(int,int,aa(int,fun(int,int),plus_plus(int),j),
3.71/3.98	                 iprod(int,ks,e))),
3.71/3.98	           d))).
3.71/3.98	tff(zf_stmt_0, negated_conjecture,
3.71/3.98	  (div_mod(int,
3.71/3.98	           aa(int,int,aa(int,fun(int,int),plus_plus(int),l),
3.71/3.98	              aa(int,int,aa(int,fun(int,int),plus_plus(int),i),
3.71/3.98	                 iprod(int,ks,e))),
3.71/3.98	           d) !=
3.71/3.98	   div_mod(int,
3.71/3.98	           aa(int,int,aa(int,fun(int,int),plus_plus(int),l),
3.71/3.98	              aa(int,int,aa(int,fun(int,int),plus_plus(int),j),
3.71/3.98	                 iprod(int,ks,e))),
3.71/3.98	           d))).
3.71/3.98	tff('0', plain,
3.71/3.98	    div_mod(int, 
3.71/3.98	      aa(int, int, aa(int, fun(int, int), plus_plus(int), l), 
3.71/3.98	        aa(int, int, aa(int, fun(int, int), plus_plus(int), i), 
3.71/3.98	          iprod(int, ks, e))), d)
3.71/3.98	     != div_mod(int, 
3.71/3.98	          aa(int, int, aa(int, fun(int, int), plus_plus(int), l), 
3.71/3.98	            aa(int, int, aa(int, fun(int, int), plus_plus(int), j), 
3.71/3.98	              iprod(int, ks, e))), d),
3.71/3.98	    inference('cnf', [status(esa)], [zf_stmt_0])).
3.71/3.98	tff(arity_Int_Oint___Rings_Ocomm__semiring__1, axiom, (comm_semiring_1(int))).
3.71/3.98	tff('1', plain, comm_semiring_1(int),
3.71/3.98	    inference('cnf', [status(esa)],
3.71/3.98	              [arity_Int_Oint___Rings_Ocomm__semiring__1])).
3.71/3.98	tff(fact_32_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J, axiom,
3.71/3.98	  (![A:$tType]:
3.71/3.98	     (comm_semiring_1(A) =>
3.71/3.98	      (![C1:A,A1:A]:
3.71/3.98	         (aa(A,A,aa(A,fun(A,A),plus_plus(A),A1),C1) =
3.71/3.98	          aa(A,A,aa(A,fun(A,A),plus_plus(A),C1),A1)))))).
3.71/3.98	tff('2', plain,
3.71/3.98	    ![X113 : $tType, X114 : X113, X115 : X113]:
3.71/3.98	      (aa(X113, X113, aa(X113, fun(X113, X113), plus_plus(X113), X115), X114)
3.71/3.98	        = aa(X113, X113, aa(X113, fun(X113, X113), plus_plus(X113), X114), 
3.71/3.98	            X115)
3.71/3.98	       | ~ comm_semiring_1(X113)),
3.71/3.98	    inference('cnf', [status(esa)],
3.71/3.98	              [fact_32_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J])).
3.71/3.98	tff('3', plain,
3.71/3.98	    ![X0 : int, X1 : int]:
3.71/3.98	      (~ $true
3.71/3.98	       | aa(int, int, aa(int, fun(int, int), plus_plus(int), X1), X0)
3.71/3.98	          = aa(int, int, aa(int, fun(int, int), plus_plus(int), X0), X1)),
3.71/3.98	    inference('sup-', [status(thm)], ['1', '2'])).
3.71/3.98	tff('4', plain,
3.71/3.98	    ![X0 : int, X1 : int]:
3.71/3.98	      aa(int, int, aa(int, fun(int, int), plus_plus(int), X1), X0)
3.71/3.98	       = aa(int, int, aa(int, fun(int, int), plus_plus(int), X0), X1),
3.71/3.98	    inference('simplify', [status(thm)], ['3'])).
3.71/3.98	tff(fact_3_Dvd, axiom, (a = dvd(d,l,ks1))).
3.71/3.98	tff('5', plain, a = dvd(d, l, ks1),
3.71/3.98	    inference('cnf', [status(esa)], [fact_3_Dvd])).
3.71/3.98	tff(fact_21_divisor_Osimps_I2_J, axiom,
3.71/3.98	  (![Ks:list(int),I1:int,D:int]: (divisor(dvd(D,I1,Ks)) = D))).
3.71/3.98	tff('6', plain,
3.71/3.98	    ![X76 : int, X77 : int, X78 : list(int)]:
3.71/3.98	      divisor(dvd(X76, X77, X78)) = X76,
3.71/3.98	    inference('cnf', [status(esa)], [fact_21_divisor_Osimps_I2_J])).
3.71/3.98	tff('7', plain, divisor(a) = d, inference('sup+', [status(thm)], ['5', '6'])).
3.71/3.98	tff('8', plain,
3.71/3.98	    div_mod(int, 
3.71/3.98	      aa(int, int, aa(int, fun(int, int), plus_plus(int), l), 
3.71/3.98	        aa(int, int, 
3.71/3.98	          aa(int, fun(int, int), plus_plus(int), iprod(int, ks, e)), i)), 
3.71/3.98	      divisor(a))
3.71/3.98	     != div_mod(int, 
3.71/3.98	          aa(int, int, aa(int, fun(int, int), plus_plus(int), l), 
3.71/3.98	            aa(int, int, 
3.71/3.98	              aa(int, fun(int, int), plus_plus(int), iprod(int, ks, e)), j)), 
3.71/3.98	          divisor(a)),
3.71/3.98	    inference('demod', [status(thm)], ['0', '4', '7', '4', '7'])).
3.71/3.98	tff(fact_0_assms_I3_J, axiom,
3.71/3.98	  (div_mod(int,i,divisor(a)) = div_mod(int,j,divisor(a)))).
3.71/3.98	tff('9', plain, div_mod(int, i, divisor(a)) = div_mod(int, j, divisor(a)),
3.71/3.98	    inference('cnf', [status(esa)], [fact_0_assms_I3_J])).
3.71/3.98	tff(arity_Int_Oint___Divides_Osemiring__div, axiom, (semiring_div(int))).
3.71/3.98	tff('10', plain, semiring_div(int),
3.71/3.98	    inference('cnf', [status(esa)], [arity_Int_Oint___Divides_Osemiring__div])).
3.71/3.98	tff(fact_8_mod__add__right__eq, axiom,
3.71/3.98	  (![A:$tType]:
3.71/3.98	     (semiring_div(A) =>
3.71/3.98	      (![C1:A,B2:A,A1:A]:
3.71/3.98	         (div_mod(A,aa(A,A,aa(A,fun(A,A),plus_plus(A),A1),B2),C1) =
3.71/3.98	          div_mod(A,aa(A,A,aa(A,fun(A,A),plus_plus(A),A1),div_mod(A,B2,C1)),
3.71/3.98	                  C1)))))).
3.71/3.98	tff('11', plain,
3.71/3.98	    ![X23 : $tType, X24 : X23, X25 : X23, X26 : X23]:
3.71/3.98	      (div_mod(X23, 
3.71/3.98	         aa(X23, X23, aa(X23, fun(X23, X23), plus_plus(X23), X24), X25), X26)
3.71/3.98	        = div_mod(X23, 
3.71/3.98	            aa(X23, X23, aa(X23, fun(X23, X23), plus_plus(X23), X24), 
3.71/3.98	              div_mod(X23, X25, X26)), X26)
3.71/3.98	       | ~ semiring_div(X23)),
3.71/3.98	    inference('cnf', [status(esa)], [fact_8_mod__add__right__eq])).
3.71/3.98	tff('12', plain,
3.71/3.98	    ![X0 : int, X1 : int, X2 : int]:
3.71/3.98	      (~ $true
3.71/3.98	       | div_mod(int, 
3.71/3.98	           aa(int, int, aa(int, fun(int, int), plus_plus(int), X2), X1), X0)
3.71/3.98	          = div_mod(int, 
3.71/3.98	              aa(int, int, aa(int, fun(int, int), plus_plus(int), X2), 
3.71/3.98	                div_mod(int, X1, X0)), X0)),
3.71/3.98	    inference('sup-', [status(thm)], ['10', '11'])).
3.71/3.98	tff('13', plain,
3.71/3.98	    ![X0 : int, X1 : int, X2 : int]:
3.71/3.98	      div_mod(int, 
3.71/3.98	        aa(int, int, aa(int, fun(int, int), plus_plus(int), X2), X1), X0)
3.71/3.98	       = div_mod(int, 
3.71/3.98	           aa(int, int, aa(int, fun(int, int), plus_plus(int), X2), 
3.71/3.98	             div_mod(int, X1, X0)), X0),
3.71/3.98	    inference('simplify', [status(thm)], ['12'])).
3.71/3.98	tff('14', plain,
3.71/3.98	    ![X0 : int]:
3.71/3.98	      div_mod(int, 
3.71/3.98	        aa(int, int, aa(int, fun(int, int), plus_plus(int), X0), j), 
3.71/3.98	        divisor(a))
3.71/3.98	       = div_mod(int, 
3.71/3.98	           aa(int, int, aa(int, fun(int, int), plus_plus(int), X0), 
3.71/3.98	             div_mod(int, i, divisor(a))), divisor(a)),
3.71/3.98	    inference('sup+', [status(thm)], ['9', '13'])).
3.71/3.98	tff('15', plain,
3.71/3.98	    ![X0 : int]:
3.71/3.98	      div_mod(int, 
3.71/3.98	        aa(int, int, aa(int, fun(int, int), plus_plus(int), X0), j), 
3.71/3.98	        divisor(a))
3.71/3.98	       = div_mod(int, 
3.71/3.98	           aa(int, int, aa(int, fun(int, int), plus_plus(int), X0), i), 
3.71/3.98	           divisor(a)),
3.71/3.98	    inference('demod', [status(thm)], ['14', '13'])).
3.71/3.98	tff('16', plain,
3.71/3.98	    ![X0 : int, X1 : int]:
3.71/3.98	      div_mod(int, 
3.71/3.98	        aa(int, int, aa(int, fun(int, int), plus_plus(int), X1), 
3.71/3.98	          aa(int, int, aa(int, fun(int, int), plus_plus(int), X0), j)), 
3.71/3.98	        divisor(a))
3.71/3.98	       = div_mod(int, 
3.71/3.98	           aa(int, int, aa(int, fun(int, int), plus_plus(int), X1), 
3.71/3.98	             div_mod(int, 
3.71/3.98	               aa(int, int, aa(int, fun(int, int), plus_plus(int), X0), i), 
3.71/3.98	               divisor(a))), divisor(a)),
3.71/3.98	    inference('sup+', [status(thm)], ['15', '13'])).
3.71/3.98	tff('17', plain,
3.71/3.98	    ![X0 : int, X1 : int]:
3.71/3.98	      div_mod(int, 
3.71/3.98	        aa(int, int, aa(int, fun(int, int), plus_plus(int), X1), 
3.71/3.98	          aa(int, int, aa(int, fun(int, int), plus_plus(int), X0), j)), 
3.71/3.98	        divisor(a))
3.71/3.98	       = div_mod(int, 
3.71/3.98	           aa(int, int, aa(int, fun(int, int), plus_plus(int), X1), 
3.71/3.98	             aa(int, int, aa(int, fun(int, int), plus_plus(int), X0), i)), 
3.71/3.98	           divisor(a)),
3.71/3.98	    inference('demod', [status(thm)], ['16', '13'])).
3.71/3.98	tff('18', plain,
3.71/3.98	    div_mod(int, 
3.71/3.98	      aa(int, int, aa(int, fun(int, int), plus_plus(int), l), 
3.71/3.98	        aa(int, int, 
3.71/3.98	          aa(int, fun(int, int), plus_plus(int), iprod(int, ks, e)), i)), 
3.71/3.98	      divisor(a))
3.71/3.98	     != div_mod(int, 
3.71/3.98	          aa(int, int, aa(int, fun(int, int), plus_plus(int), l), 
3.71/3.98	            aa(int, int, 
3.71/3.98	              aa(int, fun(int, int), plus_plus(int), iprod(int, ks, e)), i)), 
3.71/3.98	          divisor(a)),
3.71/3.98	    inference('demod', [status(thm)], ['8', '17'])).
3.71/3.98	tff('19', plain, $false, inference('simplify', [status(thm)], ['18'])).
3.71/3.98	
3.71/3.98	% SZS output end Refutation
3.71/3.98	EOF
