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    : kbo
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   : n185.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 08:34:53 CST 2018
3.79/3.96	% done 896 iterations in 3.753s
3.79/3.96	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
3.79/3.96	% SZS output start Refutation
3.79/3.97	tff(conj_0, conjecture,
3.79/3.97	  (div_mod(int,
3.79/3.97	           aa(int,int,aa(int,fun(int,int),plus_plus(int),div_mod(int,j,d)),
3.79/3.97	              div_mod(int,iprod(int,ks,e),d)),
3.79/3.97	           d) =
3.79/3.97	   div_mod(int,
3.79/3.97	           aa(int,int,aa(int,fun(int,int),plus_plus(int),j),iprod(int,ks,e)),
3.79/3.97	           d))).
3.79/3.97	tff(zf_stmt_0, negated_conjecture,
3.79/3.97	  (div_mod(int,
3.79/3.97	           aa(int,int,aa(int,fun(int,int),plus_plus(int),div_mod(int,j,d)),
3.79/3.97	              div_mod(int,iprod(int,ks,e),d)),
3.79/3.97	           d) !=
3.79/3.97	   div_mod(int,
3.79/3.97	           aa(int,int,aa(int,fun(int,int),plus_plus(int),j),iprod(int,ks,e)),
3.79/3.97	           d))).
3.79/3.97	tff('0', plain,
3.79/3.97	    div_mod(int, 
3.79/3.97	      aa(int, int, 
3.79/3.97	        aa(int, fun(int, int), plus_plus(int), div_mod(int, j, d)), 
3.79/3.97	        div_mod(int, iprod(int, ks, e), d)), d)
3.79/3.97	     != div_mod(int, 
3.79/3.97	          aa(int, int, aa(int, fun(int, int), plus_plus(int), j), 
3.79/3.97	            iprod(int, ks, e)), d),
3.79/3.97	    inference('cnf', [status(esa)], [zf_stmt_0])).
3.79/3.97	tff(fact_1__096i_Amod_Ad_A_061_Aj_Amod_Ad_096, axiom,
3.79/3.97	  (div_mod(int,i,d) = div_mod(int,j,d))).
3.79/3.97	tff('1', plain, div_mod(int, i, d) = div_mod(int, j, d),
3.79/3.97	    inference('cnf', [status(esa)],
3.79/3.97	              [fact_1__096i_Amod_Ad_A_061_Aj_Amod_Ad_096])).
3.79/3.97	tff(fact_11_mod__add__left__eq, axiom,
3.79/3.97	  (![A:$tType]:
3.79/3.97	     (semiring_div(A) =>
3.79/3.97	      (![C:A,B1:A,A1:A]:
3.79/3.97	         (div_mod(A,aa(A,A,aa(A,fun(A,A),plus_plus(A),A1),B1),C) =
3.79/3.97	          div_mod(A,aa(A,A,aa(A,fun(A,A),plus_plus(A),div_mod(A,A1,C)),B1),C)))))).
3.79/3.97	tff('2', plain,
3.79/3.97	    ![X27 : $tType, X28 : X27, X29 : X27, X30 : X27]:
3.79/3.97	      (div_mod(X27, 
3.79/3.97	         aa(X27, X27, aa(X27, fun(X27, X27), plus_plus(X27), X28), X30), X29)
3.79/3.97	        = div_mod(X27, 
3.79/3.97	            aa(X27, X27, 
3.79/3.97	              aa(X27, fun(X27, X27), plus_plus(X27), div_mod(X27, X28, X29)), 
3.79/3.97	              X30), X29)
3.79/3.97	       | ~ semiring_div(X27)),
3.79/3.97	    inference('cnf', [status(esa)], [fact_11_mod__add__left__eq])).
3.79/3.97	tff(fact_52_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J, axiom,
3.79/3.97	  (![A:$tType]:
3.79/3.97	     (comm_semiring_1(A) =>
3.79/3.97	      (![A1:A]: (aa(A,A,times_times(A,one_one(A)),A1) = A1))))).
3.79/3.97	tff('3', plain,
3.79/3.97	    ![X174 : $tType, X175 : X174]:
3.79/3.97	      (aa(X174, X174, times_times(X174, one_one(X174)), X175) = X175
3.79/3.97	       | ~ comm_semiring_1(X174)),
3.79/3.97	    inference('cnf', [status(esa)],
3.79/3.97	              [fact_52_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J])).
3.79/3.97	tff(fact_71_zmod__simps_I3_J, axiom,
3.79/3.97	  (![C:int,B1:int,A1:int]:
3.79/3.97	     (div_mod(int,aa(int,int,times_times(int,A1),div_mod(int,B1,C)),C) =
3.79/3.97	      div_mod(int,aa(int,int,times_times(int,A1),B1),C)))).
3.79/3.97	tff('4', plain,
3.79/3.97	    ![X245 : int, X246 : int, X247 : int]:
3.79/3.97	      div_mod(int, 
3.79/3.97	        aa(int, int, times_times(int, X245), div_mod(int, X246, X247)), X247)
3.79/3.97	       = div_mod(int, aa(int, int, times_times(int, X245), X246), X247),
3.79/3.97	    inference('cnf', [status(esa)], [fact_71_zmod__simps_I3_J])).
3.79/3.97	tff('5', plain,
3.79/3.97	    ![X0 : int, X1 : int]:
3.79/3.97	      (div_mod(int, div_mod(int, X1, X0), X0)
3.79/3.97	        = div_mod(int, aa(int, int, times_times(int, one_one(int)), X1), X0)
3.79/3.97	       | ~ comm_semiring_1(int)),
3.79/3.97	    inference('sup+', [status(thm)], ['3', '4'])).
3.79/3.97	tff(arity_Int_Oint___Rings_Ocomm__semiring__1, axiom, (comm_semiring_1(int))).
3.79/3.97	tff('6', plain, comm_semiring_1(int),
3.79/3.97	    inference('cnf', [status(esa)],
3.79/3.97	              [arity_Int_Oint___Rings_Ocomm__semiring__1])).
3.79/3.97	tff('7', plain,
3.79/3.97	    ![X0 : int, X1 : int]:
3.79/3.97	      (div_mod(int, div_mod(int, X1, X0), X0)
3.79/3.97	        = div_mod(int, aa(int, int, times_times(int, one_one(int)), X1), X0)
3.79/3.97	       | ~ $true),
3.79/3.97	    inference('demod', [status(thm)], ['5', '6'])).
3.79/3.97	tff('8', plain,
3.79/3.97	    ![X0 : int, X1 : int]:
3.79/3.97	      div_mod(int, div_mod(int, X1, X0), X0)
3.79/3.97	       = div_mod(int, aa(int, int, times_times(int, one_one(int)), X1), X0),
3.79/3.97	    inference('simplify', [status(thm)], ['7'])).
3.79/3.97	tff('9', plain,
3.79/3.97	    ![X0 : int, X1 : int]:
3.79/3.97	      (div_mod(int, div_mod(int, X0, X1), X1) = div_mod(int, X0, X1)
3.79/3.97	       | ~ comm_semiring_1(int)),
3.79/3.97	    inference('sup+', [status(thm)], ['3', '8'])).
3.79/3.97	tff('10', plain,
3.79/3.97	    ![X0 : int, X1 : int]:
3.79/3.97	      (div_mod(int, div_mod(int, X0, X1), X1) = div_mod(int, X0, X1)
3.79/3.97	       | ~ $true),
3.79/3.97	    inference('demod', [status(thm)], ['9', '6'])).
3.79/3.97	tff('11', plain,
3.79/3.97	    ![X0 : int, X1 : int]:
3.79/3.97	      div_mod(int, div_mod(int, X0, X1), X1) = div_mod(int, X0, X1),
3.79/3.97	    inference('simplify', [status(thm)], ['10'])).
3.79/3.97	tff('12', plain,
3.79/3.97	    ![X0 : int, X1 : int, X2 : int]:
3.79/3.97	      (div_mod(int, 
3.79/3.97	         div_mod(int, 
3.79/3.97	           aa(int, int, aa(int, fun(int, int), plus_plus(int), X2), X1), X0), 
3.79/3.97	         X0)
3.79/3.97	        = div_mod(int, 
3.79/3.97	            aa(int, int, 
3.79/3.97	              aa(int, fun(int, int), plus_plus(int), div_mod(int, X2, X0)), 
3.79/3.97	              X1), X0)
3.79/3.97	       | ~ semiring_div(int)),
3.79/3.97	    inference('sup+', [status(thm)], ['2', '11'])).
3.79/3.97	tff(arity_Int_Oint___Divides_Osemiring__div, axiom, (semiring_div(int))).
3.79/3.97	tff('13', plain, semiring_div(int),
3.79/3.97	    inference('cnf', [status(esa)], [arity_Int_Oint___Divides_Osemiring__div])).
3.79/3.97	tff('14', plain,
3.79/3.97	    ![X0 : int, X1 : int, X2 : int]:
3.79/3.97	      (div_mod(int, 
3.79/3.97	         aa(int, int, aa(int, fun(int, int), plus_plus(int), X2), X1), X0)
3.79/3.97	        = div_mod(int, 
3.79/3.97	            aa(int, int, 
3.79/3.97	              aa(int, fun(int, int), plus_plus(int), div_mod(int, X2, X0)), 
3.79/3.97	              X1), X0)
3.79/3.97	       | ~ $true),
3.79/3.97	    inference('demod', [status(thm)], ['12', '11', '13'])).
3.79/3.97	tff('15', plain,
3.79/3.97	    ![X0 : int, X1 : int, X2 : int]:
3.79/3.97	      div_mod(int, 
3.79/3.97	        aa(int, int, aa(int, fun(int, int), plus_plus(int), X2), X1), X0)
3.79/3.97	       = div_mod(int, 
3.79/3.97	           aa(int, int, 
3.79/3.97	             aa(int, fun(int, int), plus_plus(int), div_mod(int, X2, X0)), 
3.79/3.97	             X1), X0),
3.79/3.97	    inference('simplify', [status(thm)], ['14'])).
3.79/3.97	tff(fact_10_mod__add__right__eq, axiom,
3.79/3.97	  (![A:$tType]:
3.79/3.97	     (semiring_div(A) =>
3.79/3.97	      (![C:A,B1:A,A1:A]:
3.79/3.97	         (div_mod(A,aa(A,A,aa(A,fun(A,A),plus_plus(A),A1),B1),C) =
3.79/3.97	          div_mod(A,aa(A,A,aa(A,fun(A,A),plus_plus(A),A1),div_mod(A,B1,C)),C)))))).
3.79/3.97	tff('16', plain,
3.79/3.97	    ![X23 : $tType, X24 : X23, X25 : X23, X26 : X23]:
3.79/3.97	      (div_mod(X23, 
3.79/3.97	         aa(X23, X23, aa(X23, fun(X23, X23), plus_plus(X23), X24), X25), X26)
3.79/3.97	        = div_mod(X23, 
3.79/3.97	            aa(X23, X23, aa(X23, fun(X23, X23), plus_plus(X23), X24), 
3.79/3.97	              div_mod(X23, X25, X26)), X26)
3.79/3.97	       | ~ semiring_div(X23)),
3.79/3.97	    inference('cnf', [status(esa)], [fact_10_mod__add__right__eq])).
3.79/3.97	tff('17', plain,
3.79/3.97	    ![X0 : int, X1 : int, X2 : int]:
3.79/3.97	      (div_mod(int, 
3.79/3.97	         div_mod(int, 
3.79/3.97	           aa(int, int, aa(int, fun(int, int), plus_plus(int), X2), X1), X0), 
3.79/3.97	         X0)
3.79/3.97	        = div_mod(int, 
3.79/3.97	            aa(int, int, aa(int, fun(int, int), plus_plus(int), X2), 
3.79/3.97	              div_mod(int, X1, X0)), X0)
3.79/3.97	       | ~ semiring_div(int)),
3.79/3.97	    inference('sup+', [status(thm)], ['16', '11'])).
3.79/3.97	tff('18', plain,
3.79/3.97	    ![X0 : int, X1 : int, X2 : int]:
3.79/3.97	      (div_mod(int, 
3.79/3.97	         aa(int, int, aa(int, fun(int, int), plus_plus(int), X2), X1), X0)
3.79/3.97	        = div_mod(int, 
3.79/3.97	            aa(int, int, aa(int, fun(int, int), plus_plus(int), X2), 
3.79/3.97	              div_mod(int, X1, X0)), X0)
3.79/3.97	       | ~ $true),
3.79/3.97	    inference('demod', [status(thm)], ['17', '11', '13'])).
3.79/3.97	tff('19', plain,
3.79/3.97	    ![X0 : int, X1 : int, X2 : int]:
3.79/3.97	      div_mod(int, 
3.79/3.97	        aa(int, int, aa(int, fun(int, int), plus_plus(int), X2), X1), X0)
3.79/3.97	       = div_mod(int, 
3.79/3.97	           aa(int, int, aa(int, fun(int, int), plus_plus(int), X2), 
3.79/3.97	             div_mod(int, X1, X0)), X0),
3.79/3.97	    inference('simplify', [status(thm)], ['18'])).
3.79/3.97	tff('20', plain,
3.79/3.97	    ![X0 : int]:
3.79/3.97	      (div_mod(int, 
3.79/3.97	         aa(int, int, aa(int, fun(int, int), plus_plus(int), j), X0), d)
3.79/3.97	        = div_mod(int, 
3.79/3.97	            aa(int, int, 
3.79/3.97	              aa(int, fun(int, int), plus_plus(int), div_mod(int, i, d)), X0), 
3.79/3.97	            d)
3.79/3.97	       | ~ semiring_div(int)),
3.79/3.97	    inference('sup+', [status(thm)], ['1', '2'])).
3.79/3.97	tff('21', plain,
3.79/3.97	    ![X0 : int]:
3.79/3.97	      (div_mod(int, 
3.79/3.97	         aa(int, int, aa(int, fun(int, int), plus_plus(int), j), X0), d)
3.79/3.97	        = div_mod(int, 
3.79/3.97	            aa(int, int, 
3.79/3.97	              aa(int, fun(int, int), plus_plus(int), div_mod(int, i, d)), X0), 
3.79/3.97	            d)
3.79/3.97	       | ~ $true),
3.79/3.97	    inference('demod', [status(thm)], ['20', '13'])).
3.79/3.97	tff('22', plain,
3.79/3.97	    ![X0 : int]:
3.79/3.97	      div_mod(int, 
3.79/3.97	        aa(int, int, aa(int, fun(int, int), plus_plus(int), j), X0), d)
3.79/3.97	       = div_mod(int, 
3.79/3.97	           aa(int, int, 
3.79/3.97	             aa(int, fun(int, int), plus_plus(int), div_mod(int, i, d)), X0), 
3.79/3.97	           d),
3.79/3.97	    inference('simplify', [status(thm)], ['21'])).
3.79/3.97	tff('23', plain,
3.79/3.97	    ![X0 : int]:
3.79/3.97	      (div_mod(int, 
3.79/3.97	         aa(int, int, aa(int, fun(int, int), plus_plus(int), j), X0), d)
3.79/3.97	        = div_mod(int, 
3.79/3.97	            aa(int, int, aa(int, fun(int, int), plus_plus(int), i), X0), d)
3.79/3.97	       | ~ semiring_div(int)),
3.79/3.97	    inference('sup+', [status(thm)], ['2', '22'])).
3.79/3.97	tff('24', plain,
3.79/3.97	    ![X0 : int]:
3.79/3.97	      (div_mod(int, 
3.79/3.97	         aa(int, int, aa(int, fun(int, int), plus_plus(int), j), X0), d)
3.79/3.97	        = div_mod(int, 
3.79/3.97	            aa(int, int, aa(int, fun(int, int), plus_plus(int), i), X0), d)
3.79/3.97	       | ~ $true),
3.79/3.97	    inference('demod', [status(thm)], ['23', '13'])).
3.79/3.97	tff('25', plain,
3.79/3.97	    ![X0 : int]:
3.79/3.97	      div_mod(int, 
3.79/3.97	        aa(int, int, aa(int, fun(int, int), plus_plus(int), j), X0), d)
3.79/3.97	       = div_mod(int, 
3.79/3.97	           aa(int, int, aa(int, fun(int, int), plus_plus(int), i), X0), d),
3.79/3.97	    inference('simplify', [status(thm)], ['24'])).
3.79/3.97	tff('26', plain,
3.79/3.97	    div_mod(int, 
3.79/3.97	      aa(int, int, aa(int, fun(int, int), plus_plus(int), i), 
3.79/3.97	        iprod(int, ks, e)), d)
3.79/3.97	     != div_mod(int, 
3.79/3.97	          aa(int, int, aa(int, fun(int, int), plus_plus(int), i), 
3.79/3.97	            iprod(int, ks, e)), d),
3.79/3.97	    inference('demod', [status(thm)], ['0', '1', '15', '19', '25'])).
3.79/3.97	tff('27', plain, $false, inference('simplify', [status(thm)], ['26'])).
3.79/3.97	
3.79/3.97	% SZS output end Refutation
3.79/3.97	EOF
