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   : n139.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 08:27:53 CST 2018
2.71/2.93	% done 1338 iterations in 2.718s
2.71/2.93	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
2.71/2.93	% SZS output start Refutation
2.74/2.93	tff(conj_0, conjecture,
2.74/2.93	  (div_mod(int,
2.74/2.93	           aa(int,int,aa(int,fun(int,int),plus_plus(int),l),
2.74/2.93	              aa(int,int,aa(int,fun(int,int),plus_plus(int),i),
2.74/2.93	                 iprod(int,ks,e))),
2.74/2.93	           d) =
2.74/2.93	   div_mod(int,
2.74/2.93	           aa(int,int,aa(int,fun(int,int),plus_plus(int),l),
2.74/2.93	              aa(int,int,aa(int,fun(int,int),plus_plus(int),j),
2.74/2.93	                 iprod(int,ks,e))),
2.74/2.93	           d))).
2.74/2.93	tff(zf_stmt_0, negated_conjecture,
2.74/2.93	  (div_mod(int,
2.74/2.93	           aa(int,int,aa(int,fun(int,int),plus_plus(int),l),
2.74/2.93	              aa(int,int,aa(int,fun(int,int),plus_plus(int),i),
2.74/2.93	                 iprod(int,ks,e))),
2.74/2.93	           d) !=
2.74/2.93	   div_mod(int,
2.74/2.93	           aa(int,int,aa(int,fun(int,int),plus_plus(int),l),
2.74/2.93	              aa(int,int,aa(int,fun(int,int),plus_plus(int),j),
2.74/2.93	                 iprod(int,ks,e))),
2.74/2.93	           d))).
2.74/2.93	tff('0', plain,
2.74/2.93	    div_mod(int, 
2.74/2.93	      aa(int, int, aa(int, fun(int, int), plus_plus(int), l), 
2.74/2.93	        aa(int, int, aa(int, fun(int, int), plus_plus(int), i), 
2.74/2.93	          iprod(int, ks, e))), d)
2.74/2.94	     != div_mod(int, 
2.74/2.94	          aa(int, int, aa(int, fun(int, int), plus_plus(int), l), 
2.74/2.94	            aa(int, int, aa(int, fun(int, int), plus_plus(int), j), 
2.74/2.94	              iprod(int, ks, e))), d),
2.74/2.94	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.74/2.94	tff(arity_Int_Oint___Rings_Ocomm__semiring__1, axiom, (comm_semiring_1(int))).
2.74/2.94	tff('1', plain, comm_semiring_1(int),
2.74/2.94	    inference('cnf', [status(esa)],
2.74/2.94	              [arity_Int_Oint___Rings_Ocomm__semiring__1])).
2.74/2.94	tff(fact_32_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J, axiom,
2.74/2.94	  (![A:$tType]:
2.74/2.94	     (comm_semiring_1(A) =>
2.74/2.94	      (![C1:A,A1:A]:
2.74/2.94	         (aa(A,A,aa(A,fun(A,A),plus_plus(A),A1),C1) =
2.74/2.94	          aa(A,A,aa(A,fun(A,A),plus_plus(A),C1),A1)))))).
2.74/2.94	tff('2', plain,
2.74/2.94	    ![X113 : $tType, X114 : X113, X115 : X113]:
2.74/2.94	      (aa(X113, X113, aa(X113, fun(X113, X113), plus_plus(X113), X115), X114)
2.74/2.94	        = aa(X113, X113, aa(X113, fun(X113, X113), plus_plus(X113), X114), 
2.74/2.94	            X115)
2.74/2.94	       | ~ comm_semiring_1(X113)),
2.74/2.94	    inference('cnf', [status(esa)],
2.74/2.94	              [fact_32_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J])).
2.74/2.94	tff('3', plain,
2.74/2.94	    ![X0 : int, X1 : int]:
2.74/2.94	      (~ $true
2.74/2.94	       | aa(int, int, aa(int, fun(int, int), plus_plus(int), X1), X0)
2.74/2.94	          = aa(int, int, aa(int, fun(int, int), plus_plus(int), X0), X1)),
2.74/2.94	    inference('sup-', [status(thm)], ['1', '2'])).
2.74/2.94	tff('4', plain,
2.74/2.94	    ![X0 : int, X1 : int]:
2.74/2.94	      aa(int, int, aa(int, fun(int, int), plus_plus(int), X1), X0)
2.74/2.94	       = aa(int, int, aa(int, fun(int, int), plus_plus(int), X0), X1),
2.74/2.94	    inference('simplify', [status(thm)], ['3'])).
2.74/2.94	tff(fact_3_Dvd, axiom, (a = dvd(d,l,ks1))).
2.74/2.94	tff('5', plain, a = dvd(d, l, ks1),
2.74/2.94	    inference('cnf', [status(esa)], [fact_3_Dvd])).
2.74/2.94	tff(fact_21_divisor_Osimps_I2_J, axiom,
2.74/2.94	  (![Ks:list(int),I1:int,D:int]: (divisor(dvd(D,I1,Ks)) = D))).
2.74/2.94	tff('6', plain,
2.74/2.94	    ![X76 : int, X77 : int, X78 : list(int)]:
2.74/2.94	      divisor(dvd(X76, X77, X78)) = X76,
2.74/2.94	    inference('cnf', [status(esa)], [fact_21_divisor_Osimps_I2_J])).
2.74/2.94	tff('7', plain, divisor(a) = d, inference('sup+', [status(thm)], ['5', '6'])).
2.74/2.94	tff('8', plain,
2.74/2.94	    div_mod(int, 
2.74/2.94	      aa(int, int, aa(int, fun(int, int), plus_plus(int), l), 
2.74/2.94	        aa(int, int, 
2.74/2.94	          aa(int, fun(int, int), plus_plus(int), iprod(int, ks, e)), i)), 
2.74/2.94	      divisor(a))
2.74/2.94	     != div_mod(int, 
2.74/2.94	          aa(int, int, aa(int, fun(int, int), plus_plus(int), l), 
2.74/2.94	            aa(int, int, 
2.74/2.94	              aa(int, fun(int, int), plus_plus(int), iprod(int, ks, e)), j)), 
2.74/2.94	          divisor(a)),
2.74/2.94	    inference('demod', [status(thm)], ['0', '4', '7', '4', '7'])).
2.74/2.94	tff(fact_0_assms_I3_J, axiom,
2.74/2.94	  (div_mod(int,i,divisor(a)) = div_mod(int,j,divisor(a)))).
2.74/2.94	tff('9', plain, div_mod(int, i, divisor(a)) = div_mod(int, j, divisor(a)),
2.74/2.94	    inference('cnf', [status(esa)], [fact_0_assms_I3_J])).
2.74/2.94	tff(arity_Int_Oint___Divides_Osemiring__div, axiom, (semiring_div(int))).
2.74/2.94	tff('10', plain, semiring_div(int),
2.74/2.94	    inference('cnf', [status(esa)], [arity_Int_Oint___Divides_Osemiring__div])).
2.74/2.94	tff(fact_8_mod__add__right__eq, axiom,
2.74/2.94	  (![A:$tType]:
2.74/2.94	     (semiring_div(A) =>
2.74/2.94	      (![C1:A,B2:A,A1:A]:
2.74/2.94	         (div_mod(A,aa(A,A,aa(A,fun(A,A),plus_plus(A),A1),B2),C1) =
2.74/2.94	          div_mod(A,aa(A,A,aa(A,fun(A,A),plus_plus(A),A1),div_mod(A,B2,C1)),
2.74/2.94	                  C1)))))).
2.74/2.94	tff('11', plain,
2.74/2.94	    ![X23 : $tType, X24 : X23, X25 : X23, X26 : X23]:
2.74/2.94	      (div_mod(X23, 
2.74/2.94	         aa(X23, X23, aa(X23, fun(X23, X23), plus_plus(X23), X24), X25), X26)
2.74/2.94	        = div_mod(X23, 
2.74/2.94	            aa(X23, X23, aa(X23, fun(X23, X23), plus_plus(X23), X24), 
2.74/2.94	              div_mod(X23, X25, X26)), X26)
2.74/2.94	       | ~ semiring_div(X23)),
2.74/2.94	    inference('cnf', [status(esa)], [fact_8_mod__add__right__eq])).
2.74/2.94	tff('12', plain,
2.74/2.94	    ![X0 : int, X1 : int, X2 : int]:
2.74/2.94	      (~ $true
2.74/2.94	       | div_mod(int, 
2.74/2.94	           aa(int, int, aa(int, fun(int, int), plus_plus(int), X2), X1), X0)
2.74/2.94	          = div_mod(int, 
2.74/2.94	              aa(int, int, aa(int, fun(int, int), plus_plus(int), X2), 
2.74/2.94	                div_mod(int, X1, X0)), X0)),
2.74/2.94	    inference('sup-', [status(thm)], ['10', '11'])).
2.74/2.94	tff('13', plain,
2.74/2.94	    ![X0 : int, X1 : int, X2 : int]:
2.74/2.94	      div_mod(int, 
2.74/2.94	        aa(int, int, aa(int, fun(int, int), plus_plus(int), X2), X1), X0)
2.74/2.94	       = div_mod(int, 
2.74/2.94	           aa(int, int, aa(int, fun(int, int), plus_plus(int), X2), 
2.74/2.94	             div_mod(int, X1, X0)), X0),
2.74/2.94	    inference('simplify', [status(thm)], ['12'])).
2.74/2.94	tff('14', plain,
2.74/2.94	    ![X0 : int]:
2.74/2.94	      div_mod(int, 
2.74/2.94	        aa(int, int, aa(int, fun(int, int), plus_plus(int), X0), j), 
2.74/2.94	        divisor(a))
2.74/2.94	       = div_mod(int, 
2.74/2.94	           aa(int, int, aa(int, fun(int, int), plus_plus(int), X0), 
2.74/2.94	             div_mod(int, i, divisor(a))), divisor(a)),
2.74/2.94	    inference('sup+', [status(thm)], ['9', '13'])).
2.74/2.94	tff('15', plain,
2.74/2.94	    ![X0 : int]:
2.74/2.94	      div_mod(int, 
2.74/2.94	        aa(int, int, aa(int, fun(int, int), plus_plus(int), X0), j), 
2.74/2.94	        divisor(a))
2.74/2.94	       = div_mod(int, 
2.74/2.94	           aa(int, int, aa(int, fun(int, int), plus_plus(int), X0), i), 
2.74/2.94	           divisor(a)),
2.74/2.94	    inference('demod', [status(thm)], ['14', '13'])).
2.74/2.94	tff('16', plain,
2.74/2.94	    ![X0 : int, X1 : int]:
2.74/2.94	      div_mod(int, 
2.74/2.94	        aa(int, int, aa(int, fun(int, int), plus_plus(int), X1), 
2.74/2.94	          aa(int, int, aa(int, fun(int, int), plus_plus(int), X0), j)), 
2.74/2.94	        divisor(a))
2.74/2.94	       = div_mod(int, 
2.74/2.94	           aa(int, int, aa(int, fun(int, int), plus_plus(int), X1), 
2.74/2.94	             div_mod(int, 
2.74/2.94	               aa(int, int, aa(int, fun(int, int), plus_plus(int), X0), i), 
2.74/2.94	               divisor(a))), divisor(a)),
2.74/2.94	    inference('sup+', [status(thm)], ['15', '13'])).
2.74/2.94	tff('17', plain,
2.74/2.94	    ![X0 : int, X1 : int]:
2.74/2.94	      div_mod(int, 
2.74/2.94	        aa(int, int, aa(int, fun(int, int), plus_plus(int), X1), 
2.74/2.94	          aa(int, int, aa(int, fun(int, int), plus_plus(int), X0), j)), 
2.74/2.94	        divisor(a))
2.74/2.94	       = div_mod(int, 
2.74/2.94	           aa(int, int, aa(int, fun(int, int), plus_plus(int), X1), 
2.74/2.94	             aa(int, int, aa(int, fun(int, int), plus_plus(int), X0), i)), 
2.74/2.94	           divisor(a)),
2.74/2.94	    inference('demod', [status(thm)], ['16', '13'])).
2.74/2.94	tff('18', plain,
2.74/2.94	    div_mod(int, 
2.74/2.94	      aa(int, int, aa(int, fun(int, int), plus_plus(int), l), 
2.74/2.94	        aa(int, int, 
2.74/2.94	          aa(int, fun(int, int), plus_plus(int), iprod(int, ks, e)), i)), 
2.74/2.94	      divisor(a))
2.74/2.94	     != div_mod(int, 
2.74/2.94	          aa(int, int, aa(int, fun(int, int), plus_plus(int), l), 
2.74/2.94	            aa(int, int, 
2.74/2.94	              aa(int, fun(int, int), plus_plus(int), iprod(int, ks, e)), i)), 
2.74/2.94	          divisor(a)),
2.74/2.94	    inference('demod', [status(thm)], ['8', '17'])).
2.74/2.94	tff('19', plain, $false, inference('simplify', [status(thm)], ['18'])).
2.74/2.94	
2.74/2.94	% SZS output end Refutation
2.74/2.94	EOF
