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    : kbo
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 $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --ho-purify int \
0.00/0.00	  --ho-no-ext-pos \
0.00/0.00	  --ho-no-ext-neg \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n109.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 08:32:53 CST 2018
3.38/3.60	% done 907 iterations in 3.389s
3.38/3.60	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
3.38/3.60	% SZS output start Refutation
3.38/3.60	tff(fact_9_mod__add__eq, axiom,
3.38/3.60	  (![A:$tType]:
3.38/3.60	     (semiring_div(A) =>
3.38/3.60	      (![C:A,B1:A,A1:A]:
3.38/3.60	         (div_mod(A,aa(A,A,aa(A,fun(A,A),plus_plus(A),A1),B1),C) =
3.38/3.60	          div_mod(A,
3.38/3.60	                  aa(A,A,aa(A,fun(A,A),plus_plus(A),div_mod(A,A1,C)),
3.38/3.60	                     div_mod(A,B1,C)),
3.38/3.60	                  C)))))).
3.38/3.60	tff('0', plain,
3.38/3.60	    ![X31 : $tType, X32 : X31, X33 : X31, X34 : X31]:
3.38/3.60	      (div_mod(X31, 
3.38/3.60	         aa(X31, X31, aa(X31, fun(X31, X31), plus_plus(X31), X32), X34), X33)
3.38/3.60	        = div_mod(X31, 
3.38/3.60	            aa(X31, X31, 
3.38/3.60	              aa(X31, fun(X31, X31), plus_plus(X31), div_mod(X31, X32, X33)), 
3.38/3.60	              div_mod(X31, X34, X33)), X33)
3.38/3.60	       | ~ semiring_div(X31)),
3.38/3.60	    inference('cnf', [status(esa)], [fact_9_mod__add__eq])).
3.38/3.60	tff(conj_0, conjecture,
3.38/3.60	  (div_mod(int,
3.38/3.60	           aa(int,int,aa(int,fun(int,int),plus_plus(int),i),iprod(int,ks,e)),
3.38/3.60	           d) =
3.38/3.60	   div_mod(int,
3.38/3.60	           aa(int,int,aa(int,fun(int,int),plus_plus(int),div_mod(int,i,d)),
3.38/3.60	              div_mod(int,iprod(int,ks,e),d)),
3.38/3.60	           d))).
3.38/3.60	tff(zf_stmt_0, negated_conjecture,
3.38/3.60	  (div_mod(int,
3.38/3.60	           aa(int,int,aa(int,fun(int,int),plus_plus(int),i),iprod(int,ks,e)),
3.38/3.60	           d) !=
3.38/3.60	   div_mod(int,
3.38/3.60	           aa(int,int,aa(int,fun(int,int),plus_plus(int),div_mod(int,i,d)),
3.38/3.60	              div_mod(int,iprod(int,ks,e),d)),
3.38/3.60	           d))).
3.38/3.60	tff('1', plain,
3.38/3.60	    div_mod(int, 
3.38/3.60	      aa(int, int, aa(int, fun(int, int), plus_plus(int), i), 
3.38/3.60	        iprod(int, ks, e)), d)
3.38/3.60	     != div_mod(int, 
3.38/3.60	          aa(int, int, 
3.38/3.60	            aa(int, fun(int, int), plus_plus(int), div_mod(int, i, d)), 
3.38/3.60	            div_mod(int, iprod(int, ks, e), d)), d),
3.38/3.60	    inference('cnf', [status(esa)], [zf_stmt_0])).
3.38/3.60	tff('2', plain,
3.38/3.60	    (div_mod(int, 
3.38/3.60	       aa(int, int, aa(int, fun(int, int), plus_plus(int), i), 
3.38/3.60	         iprod(int, ks, e)), d)
3.38/3.60	      != div_mod(int, 
3.38/3.60	           aa(int, int, aa(int, fun(int, int), plus_plus(int), i), 
3.38/3.60	             iprod(int, ks, e)), d)
3.38/3.60	     | ~ semiring_div(int)),
3.38/3.60	    inference('sup-', [status(thm)], ['0', '1'])).
3.38/3.60	tff(arity_Int_Oint___Divides_Osemiring__div, axiom, (semiring_div(int))).
3.38/3.60	tff('3', plain, semiring_div(int),
3.38/3.60	    inference('cnf', [status(esa)], [arity_Int_Oint___Divides_Osemiring__div])).
3.38/3.60	tff('4', plain,
3.38/3.60	    (div_mod(int, 
3.38/3.60	       aa(int, int, aa(int, fun(int, int), plus_plus(int), i), 
3.38/3.60	         iprod(int, ks, e)), d)
3.38/3.60	      != div_mod(int, 
3.38/3.60	           aa(int, int, aa(int, fun(int, int), plus_plus(int), i), 
3.38/3.60	             iprod(int, ks, e)), d)
3.38/3.60	     | ~ $true),
3.38/3.60	    inference('demod', [status(thm)], ['2', '3'])).
3.38/3.60	tff('5', plain, $false, inference('simplify', [status(thm)], ['4'])).
3.38/3.60	
3.38/3.60	% SZS output end Refutation
3.38/3.60	EOF
