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_ext
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 ext \
0.00/0.00	  --ho-ext-axiom \
0.00/0.00	  --restrict-hidden-sup-at-vars \
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
0.00/0.19	% Computer   : n029.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
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 08:33:24 CST 2018
4.36/4.53	% done 1480 iterations in 4.336s
4.36/4.53	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
4.36/4.53	% SZS output start Refutation
4.36/4.53	tff(conj_0, conjecture,
4.36/4.53	  (div_mod(int,
4.36/4.53	           aa(int,int,aa(int,fun(int,int),plus_plus(int),l),
4.36/4.53	              aa(int,int,aa(int,fun(int,int),plus_plus(int),i),
4.36/4.53	                 iprod(int,ks,e))),
4.36/4.53	           d) =
4.36/4.53	   div_mod(int,
4.36/4.53	           aa(int,int,aa(int,fun(int,int),plus_plus(int),l),
4.36/4.53	              aa(int,int,aa(int,fun(int,int),plus_plus(int),j),
4.36/4.53	                 iprod(int,ks,e))),
4.36/4.53	           d))).
4.36/4.53	tff(zf_stmt_0, negated_conjecture,
4.36/4.53	  (div_mod(int,
4.36/4.53	           aa(int,int,aa(int,fun(int,int),plus_plus(int),l),
4.36/4.53	              aa(int,int,aa(int,fun(int,int),plus_plus(int),i),
4.36/4.53	                 iprod(int,ks,e))),
4.36/4.53	           d) !=
4.36/4.53	   div_mod(int,
4.36/4.53	           aa(int,int,aa(int,fun(int,int),plus_plus(int),l),
4.36/4.53	              aa(int,int,aa(int,fun(int,int),plus_plus(int),j),
4.36/4.53	                 iprod(int,ks,e))),
4.36/4.53	           d))).
4.36/4.53	tff('0', plain,
4.36/4.53	    div_mod(int, 
4.36/4.53	      aa(int, int, aa(int, fun(int, int), plus_plus(int), l), 
4.36/4.53	        aa(int, int, aa(int, fun(int, int), plus_plus(int), i), 
4.36/4.53	          iprod(int, ks, e))), d)
4.36/4.55	     != div_mod(int, 
4.36/4.55	          aa(int, int, aa(int, fun(int, int), plus_plus(int), l), 
4.36/4.55	            aa(int, int, aa(int, fun(int, int), plus_plus(int), j), 
4.36/4.55	              iprod(int, ks, e))), d),
4.36/4.55	    inference('cnf', [status(esa)], [zf_stmt_0])).
4.36/4.55	tff(arity_Int_Oint___Rings_Ocomm__semiring__1, axiom, (comm_semiring_1(int))).
4.36/4.55	tff('1', plain, comm_semiring_1(int),
4.36/4.55	    inference('cnf', [status(esa)],
4.36/4.55	              [arity_Int_Oint___Rings_Ocomm__semiring__1])).
4.36/4.55	tff(fact_32_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J, axiom,
4.36/4.55	  (![A:$tType]:
4.36/4.55	     (comm_semiring_1(A) =>
4.36/4.55	      (![C1:A,A1:A]:
4.36/4.55	         (aa(A,A,aa(A,fun(A,A),plus_plus(A),A1),C1) =
4.36/4.55	          aa(A,A,aa(A,fun(A,A),plus_plus(A),C1),A1)))))).
4.36/4.55	tff('2', plain,
4.36/4.55	    ![X113 : $tType, X114 : X113, X115 : X113]:
4.36/4.55	      (aa(X113, X113, aa(X113, fun(X113, X113), plus_plus(X113), X115), X114)
4.36/4.55	        = aa(X113, X113, aa(X113, fun(X113, X113), plus_plus(X113), X114), 
4.36/4.55	            X115)
4.36/4.55	       | ~ comm_semiring_1(X113)),
4.36/4.55	    inference('cnf', [status(esa)],
4.36/4.55	              [fact_32_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J])).
4.36/4.55	tff('3', plain,
4.36/4.55	    ![X0 : int, X1 : int]:
4.36/4.55	      (~ $true
4.36/4.55	       | aa(int, int, aa(int, fun(int, int), plus_plus(int), X1), X0)
4.36/4.55	          = aa(int, int, aa(int, fun(int, int), plus_plus(int), X0), X1)),
4.36/4.55	    inference('sup-', [status(thm)], ['1', '2'])).
4.36/4.55	tff('4', plain,
4.36/4.55	    ![X0 : int, X1 : int]:
4.36/4.55	      aa(int, int, aa(int, fun(int, int), plus_plus(int), X1), X0)
4.36/4.55	       = aa(int, int, aa(int, fun(int, int), plus_plus(int), X0), X1),
4.36/4.55	    inference('simplify', [status(thm)], ['3'])).
4.36/4.55	tff(fact_3_NDvd, axiom, (a = nDvd(d,l,ks1))).
4.36/4.55	tff('5', plain, a = nDvd(d, l, ks1),
4.36/4.55	    inference('cnf', [status(esa)], [fact_3_NDvd])).
4.36/4.55	tff(fact_21_divisor_Osimps_I3_J, axiom,
4.36/4.55	  (![Ks:list(int),I1:int,D:int]: (divisor(nDvd(D,I1,Ks)) = D))).
4.36/4.55	tff('6', plain,
4.36/4.55	    ![X76 : int, X77 : int, X78 : list(int)]:
4.36/4.55	      divisor(nDvd(X76, X77, X78)) = X76,
4.36/4.55	    inference('cnf', [status(esa)], [fact_21_divisor_Osimps_I3_J])).
4.36/4.55	tff('7', plain, divisor(a) = d, inference('sup+', [status(thm)], ['5', '6'])).
4.36/4.55	tff('8', plain,
4.36/4.55	    div_mod(int, 
4.36/4.55	      aa(int, int, aa(int, fun(int, int), plus_plus(int), l), 
4.36/4.55	        aa(int, int, 
4.36/4.55	          aa(int, fun(int, int), plus_plus(int), iprod(int, ks, e)), i)), 
4.36/4.55	      divisor(a))
4.36/4.55	     != div_mod(int, 
4.36/4.55	          aa(int, int, aa(int, fun(int, int), plus_plus(int), l), 
4.36/4.55	            aa(int, int, 
4.36/4.55	              aa(int, fun(int, int), plus_plus(int), iprod(int, ks, e)), j)), 
4.36/4.55	          divisor(a)),
4.36/4.55	    inference('demod', [status(thm)], ['0', '4', '7', '4', '7'])).
4.36/4.55	tff(fact_0_assms_I3_J, axiom,
4.36/4.55	  (div_mod(int,i,divisor(a)) = div_mod(int,j,divisor(a)))).
4.36/4.55	tff('9', plain, div_mod(int, i, divisor(a)) = div_mod(int, j, divisor(a)),
4.36/4.55	    inference('cnf', [status(esa)], [fact_0_assms_I3_J])).
4.36/4.55	tff(arity_Int_Oint___Divides_Osemiring__div, axiom, (semiring_div(int))).
4.36/4.55	tff('10', plain, semiring_div(int),
4.36/4.55	    inference('cnf', [status(esa)], [arity_Int_Oint___Divides_Osemiring__div])).
4.36/4.55	tff(fact_8_mod__add__right__eq, axiom,
4.36/4.55	  (![A:$tType]:
4.36/4.55	     (semiring_div(A) =>
4.36/4.55	      (![C1:A,B2:A,A1:A]:
4.36/4.55	         (div_mod(A,aa(A,A,aa(A,fun(A,A),plus_plus(A),A1),B2),C1) =
4.36/4.55	          div_mod(A,aa(A,A,aa(A,fun(A,A),plus_plus(A),A1),div_mod(A,B2,C1)),
4.36/4.55	                  C1)))))).
4.36/4.55	tff('11', plain,
4.36/4.55	    ![X23 : $tType, X24 : X23, X25 : X23, X26 : X23]:
4.36/4.55	      (div_mod(X23, 
4.36/4.55	         aa(X23, X23, aa(X23, fun(X23, X23), plus_plus(X23), X24), X25), X26)
4.36/4.55	        = div_mod(X23, 
4.36/4.55	            aa(X23, X23, aa(X23, fun(X23, X23), plus_plus(X23), X24), 
4.36/4.55	              div_mod(X23, X25, X26)), X26)
4.36/4.55	       | ~ semiring_div(X23)),
4.36/4.55	    inference('cnf', [status(esa)], [fact_8_mod__add__right__eq])).
4.36/4.55	tff('12', plain,
4.36/4.55	    ![X0 : int, X1 : int, X2 : int]:
4.36/4.55	      (~ $true
4.36/4.55	       | div_mod(int, 
4.36/4.55	           aa(int, int, aa(int, fun(int, int), plus_plus(int), X2), X1), X0)
4.36/4.55	          = div_mod(int, 
4.36/4.55	              aa(int, int, aa(int, fun(int, int), plus_plus(int), X2), 
4.36/4.55	                div_mod(int, X1, X0)), X0)),
4.36/4.55	    inference('sup-', [status(thm)], ['10', '11'])).
4.36/4.55	tff('13', plain,
4.36/4.55	    ![X0 : int, X1 : int, X2 : int]:
4.36/4.55	      div_mod(int, 
4.36/4.55	        aa(int, int, aa(int, fun(int, int), plus_plus(int), X2), X1), X0)
4.36/4.55	       = div_mod(int, 
4.36/4.55	           aa(int, int, aa(int, fun(int, int), plus_plus(int), X2), 
4.36/4.55	             div_mod(int, X1, X0)), X0),
4.36/4.55	    inference('simplify', [status(thm)], ['12'])).
4.36/4.55	tff('14', plain,
4.36/4.55	    ![X0 : int]:
4.36/4.55	      div_mod(int, 
4.36/4.55	        aa(int, int, aa(int, fun(int, int), plus_plus(int), X0), j), 
4.36/4.55	        divisor(a))
4.36/4.55	       = div_mod(int, 
4.36/4.55	           aa(int, int, aa(int, fun(int, int), plus_plus(int), X0), 
4.36/4.55	             div_mod(int, i, divisor(a))), divisor(a)),
4.36/4.55	    inference('sup+', [status(thm)], ['9', '13'])).
4.36/4.55	tff('15', plain,
4.36/4.55	    ![X0 : int]:
4.36/4.55	      div_mod(int, 
4.36/4.55	        aa(int, int, aa(int, fun(int, int), plus_plus(int), X0), j), 
4.36/4.55	        divisor(a))
4.36/4.55	       = div_mod(int, 
4.36/4.55	           aa(int, int, aa(int, fun(int, int), plus_plus(int), X0), i), 
4.36/4.55	           divisor(a)),
4.36/4.55	    inference('demod', [status(thm)], ['14', '13'])).
4.36/4.55	tff('16', plain,
4.36/4.55	    ![X0 : int, X1 : int]:
4.36/4.55	      div_mod(int, 
4.36/4.55	        aa(int, int, aa(int, fun(int, int), plus_plus(int), X1), 
4.36/4.55	          aa(int, int, aa(int, fun(int, int), plus_plus(int), X0), j)), 
4.36/4.55	        divisor(a))
4.36/4.55	       = div_mod(int, 
4.36/4.55	           aa(int, int, aa(int, fun(int, int), plus_plus(int), X1), 
4.36/4.55	             div_mod(int, 
4.36/4.55	               aa(int, int, aa(int, fun(int, int), plus_plus(int), X0), i), 
4.36/4.55	               divisor(a))), divisor(a)),
4.36/4.55	    inference('sup+', [status(thm)], ['15', '13'])).
4.36/4.55	tff('17', plain,
4.36/4.55	    ![X0 : int, X1 : int]:
4.36/4.55	      div_mod(int, 
4.36/4.55	        aa(int, int, aa(int, fun(int, int), plus_plus(int), X1), 
4.36/4.55	          aa(int, int, aa(int, fun(int, int), plus_plus(int), X0), j)), 
4.36/4.55	        divisor(a))
4.36/4.55	       = div_mod(int, 
4.36/4.55	           aa(int, int, aa(int, fun(int, int), plus_plus(int), X1), 
4.36/4.55	             aa(int, int, aa(int, fun(int, int), plus_plus(int), X0), i)), 
4.36/4.55	           divisor(a)),
4.36/4.55	    inference('demod', [status(thm)], ['16', '13'])).
4.36/4.55	tff('18', plain,
4.36/4.55	    div_mod(int, 
4.36/4.55	      aa(int, int, aa(int, fun(int, int), plus_plus(int), l), 
4.36/4.55	        aa(int, int, 
4.36/4.55	          aa(int, fun(int, int), plus_plus(int), iprod(int, ks, e)), i)), 
4.36/4.55	      divisor(a))
4.36/4.55	     != div_mod(int, 
4.36/4.55	          aa(int, int, aa(int, fun(int, int), plus_plus(int), l), 
4.36/4.55	            aa(int, int, 
4.36/4.55	              aa(int, fun(int, int), plus_plus(int), iprod(int, ks, e)), i)), 
4.36/4.55	          divisor(a)),
4.36/4.55	    inference('demod', [status(thm)], ['8', '17'])).
4.36/4.55	tff('19', plain, $false, inference('simplify', [status(thm)], ['18'])).
4.36/4.55	
4.36/4.55	% SZS output end Refutation
4.36/4.55	EOF
