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    : supatvars_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	  --sup-at-vars \
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
0.00/0.19	% Computer   : n153.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 08:30:53 CST 2018
0.00/0.33	% done 142 iterations in 0.131s
0.00/0.33	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.00/0.33	% SZS output start Refutation
0.00/0.33	tff(conj_0, conjecture,
0.00/0.33	  (div_mod(int,
0.00/0.33	           aa(int,int,aa(int,fun(int,int),plus_plus(int),div_mod(int,j,d)),
0.00/0.33	              div_mod(int,iprod(int,ks,e),d)),
0.00/0.33	           d) =
0.00/0.33	   div_mod(int,
0.00/0.33	           aa(int,int,aa(int,fun(int,int),plus_plus(int),j),iprod(int,ks,e)),
0.00/0.33	           d))).
0.00/0.33	tff(zf_stmt_0, negated_conjecture,
0.00/0.33	  (div_mod(int,
0.00/0.33	           aa(int,int,aa(int,fun(int,int),plus_plus(int),div_mod(int,j,d)),
0.00/0.33	              div_mod(int,iprod(int,ks,e),d)),
0.00/0.33	           d) !=
0.00/0.33	   div_mod(int,
0.00/0.33	           aa(int,int,aa(int,fun(int,int),plus_plus(int),j),iprod(int,ks,e)),
0.00/0.33	           d))).
0.00/0.33	tff('0', plain,
0.00/0.33	    div_mod(int, 
0.00/0.33	      aa(int, int, 
0.00/0.33	        aa(int, fun(int, int), plus_plus(int), div_mod(int, j, d)), 
0.00/0.33	        div_mod(int, iprod(int, ks, e), d)), d)
0.00/0.33	     != div_mod(int, 
0.00/0.33	          aa(int, int, aa(int, fun(int, int), plus_plus(int), j), 
0.00/0.33	            iprod(int, ks, e)), d),
0.00/0.33	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.33	tff(fact_1__096i_Amod_Ad_A_061_Aj_Amod_Ad_096, axiom,
0.00/0.33	  (div_mod(int,i,d) = div_mod(int,j,d))).
0.00/0.33	tff('1', plain, div_mod(int, i, d) = div_mod(int, j, d),
0.00/0.33	    inference('cnf', [status(esa)],
0.00/0.33	              [fact_1__096i_Amod_Ad_A_061_Aj_Amod_Ad_096])).
0.00/0.33	tff(arity_Int_Oint___Divides_Osemiring__div, axiom, (semiring_div(int))).
0.00/0.33	tff('2', plain, semiring_div(int),
0.00/0.33	    inference('cnf', [status(esa)], [arity_Int_Oint___Divides_Osemiring__div])).
0.00/0.33	tff(fact_11_mod__add__left__eq, axiom,
0.00/0.33	  (![A:$tType]:
0.00/0.33	     (semiring_div(A) =>
0.00/0.33	      (![C:A,B1:A,A1:A]:
0.00/0.33	         (div_mod(A,aa(A,A,aa(A,fun(A,A),plus_plus(A),A1),B1),C) =
0.00/0.33	          div_mod(A,aa(A,A,aa(A,fun(A,A),plus_plus(A),div_mod(A,A1,C)),B1),C)))))).
0.00/0.33	tff('3', plain,
0.00/0.33	    ![X27 : $tType, X28 : X27, X29 : X27, X30 : X27]:
0.00/0.33	      (div_mod(X27, 
0.00/0.33	         aa(X27, X27, aa(X27, fun(X27, X27), plus_plus(X27), X28), X30), X29)
0.00/0.33	        = div_mod(X27, 
0.00/0.33	            aa(X27, X27, 
0.00/0.33	              aa(X27, fun(X27, X27), plus_plus(X27), div_mod(X27, X28, X29)), 
0.00/0.33	              X30), X29)
0.00/0.33	       | ~ semiring_div(X27)),
0.00/0.33	    inference('cnf', [status(esa)], [fact_11_mod__add__left__eq])).
0.00/0.33	tff('4', plain,
0.00/0.33	    ![X0 : int, X1 : int, X2 : int]:
0.00/0.33	      (~ $true
0.00/0.33	       | div_mod(int, 
0.00/0.33	           aa(int, int, aa(int, fun(int, int), plus_plus(int), X2), X1), X0)
0.00/0.33	          = div_mod(int, 
0.00/0.33	              aa(int, int, 
0.00/0.33	                aa(int, fun(int, int), plus_plus(int), div_mod(int, X2, X0)), 
0.00/0.33	                X1), X0)),
0.00/0.33	    inference('sup-', [status(thm)], ['2', '3'])).
0.00/0.33	tff('5', plain,
0.00/0.33	    ![X0 : int, X1 : int, X2 : int]:
0.00/0.33	      div_mod(int, 
0.00/0.33	        aa(int, int, aa(int, fun(int, int), plus_plus(int), X2), X1), X0)
0.00/0.33	       = div_mod(int, 
0.00/0.33	           aa(int, int, 
0.00/0.33	             aa(int, fun(int, int), plus_plus(int), div_mod(int, X2, X0)), 
0.00/0.33	             X1), X0),
0.00/0.33	    inference('simplify', [status(thm)], ['4'])).
0.00/0.33	tff(fact_10_mod__add__right__eq, axiom,
0.00/0.33	  (![A:$tType]:
0.00/0.33	     (semiring_div(A) =>
0.00/0.33	      (![C:A,B1:A,A1:A]:
0.00/0.33	         (div_mod(A,aa(A,A,aa(A,fun(A,A),plus_plus(A),A1),B1),C) =
0.00/0.33	          div_mod(A,aa(A,A,aa(A,fun(A,A),plus_plus(A),A1),div_mod(A,B1,C)),C)))))).
0.00/0.33	tff('6', plain,
0.00/0.33	    ![X23 : $tType, X24 : X23, X25 : X23, X26 : X23]:
0.00/0.33	      (div_mod(X23, 
0.00/0.33	         aa(X23, X23, aa(X23, fun(X23, X23), plus_plus(X23), X24), X25), X26)
0.00/0.33	        = div_mod(X23, 
0.00/0.33	            aa(X23, X23, aa(X23, fun(X23, X23), plus_plus(X23), X24), 
0.00/0.33	              div_mod(X23, X25, X26)), X26)
0.00/0.33	       | ~ semiring_div(X23)),
0.00/0.33	    inference('cnf', [status(esa)], [fact_10_mod__add__right__eq])).
0.00/0.33	tff('7', plain,
0.00/0.33	    ![X0 : int, X1 : int, X2 : int]:
0.00/0.33	      (~ $true
0.00/0.33	       | div_mod(int, 
0.00/0.33	           aa(int, int, aa(int, fun(int, int), plus_plus(int), X2), X1), X0)
0.00/0.33	          = div_mod(int, 
0.00/0.33	              aa(int, int, aa(int, fun(int, int), plus_plus(int), X2), 
0.00/0.33	                div_mod(int, X1, X0)), X0)),
0.00/0.33	    inference('sup-', [status(thm)], ['2', '6'])).
0.00/0.33	tff('8', plain,
0.00/0.33	    ![X0 : int, X1 : int, X2 : int]:
0.00/0.33	      div_mod(int, 
0.00/0.33	        aa(int, int, aa(int, fun(int, int), plus_plus(int), X2), X1), X0)
0.00/0.33	       = div_mod(int, 
0.00/0.33	           aa(int, int, aa(int, fun(int, int), plus_plus(int), X2), 
0.00/0.33	             div_mod(int, X1, X0)), X0),
0.00/0.33	    inference('simplify', [status(thm)], ['7'])).
0.00/0.33	tff('9', plain,
0.00/0.33	    ![X0 : int]:
0.00/0.33	      div_mod(int, 
0.00/0.33	        aa(int, int, aa(int, fun(int, int), plus_plus(int), j), X0), d)
0.00/0.33	       = div_mod(int, 
0.00/0.33	           aa(int, int, 
0.00/0.33	             aa(int, fun(int, int), plus_plus(int), div_mod(int, i, d)), X0), 
0.00/0.33	           d),
0.00/0.33	    inference('sup+', [status(thm)], ['1', '5'])).
0.00/0.33	tff('10', plain,
0.00/0.33	    ![X0 : int]:
0.00/0.33	      div_mod(int, 
0.00/0.33	        aa(int, int, aa(int, fun(int, int), plus_plus(int), j), X0), d)
0.00/0.33	       = div_mod(int, 
0.00/0.33	           aa(int, int, aa(int, fun(int, int), plus_plus(int), i), X0), d),
0.00/0.33	    inference('demod', [status(thm)], ['9', '5'])).
0.00/0.33	tff('11', plain,
0.00/0.33	    div_mod(int, 
0.00/0.33	      aa(int, int, aa(int, fun(int, int), plus_plus(int), i), 
0.00/0.33	        iprod(int, ks, e)), d)
0.00/0.33	     != div_mod(int, 
0.00/0.33	          aa(int, int, aa(int, fun(int, int), plus_plus(int), i), 
0.00/0.33	            iprod(int, ks, e)), d),
0.00/0.33	    inference('demod', [status(thm)], ['0', '1', '5', '8', '10'])).
0.00/0.33	tff('12', plain, $false, inference('simplify', [status(thm)], ['11'])).
0.00/0.33	
0.00/0.33	% SZS output end Refutation
0.00/0.34	EOF
