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
0.00/0.20	% Computer   : n087.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 08:34:38 CST 2018
3.72/3.90	% done 1476 iterations in 3.698s
3.72/3.90	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
3.72/3.90	% SZS output start Refutation
3.72/3.90	tff(fact_1_calculation, axiom,
3.72/3.90	  (div_mod(int,
3.72/3.90	           aa(int,int,aa(int,fun(int,int),plus_plus(int),l),
3.72/3.90	              aa(int,int,aa(int,fun(int,int),plus_plus(int),i),
3.72/3.90	                 iprod(int,ks,e))),
3.72/3.90	           d) =
3.72/3.90	   div_mod(int,
3.72/3.90	           aa(int,int,aa(int,fun(int,int),plus_plus(int),div_mod(int,l,d)),
3.72/3.90	              div_mod(int,
3.72/3.90	                      aa(int,int,aa(int,fun(int,int),plus_plus(int),j),
3.72/3.90	                         iprod(int,ks,e)),
3.72/3.90	                      d)),
3.72/3.90	           d))).
3.72/3.90	tff('0', plain,
3.72/3.90	    div_mod(int, 
3.72/3.90	      aa(int, int, aa(int, fun(int, int), plus_plus(int), l), 
3.72/3.90	        aa(int, int, aa(int, fun(int, int), plus_plus(int), i), 
3.72/3.90	          iprod(int, ks, e))), d)
3.72/3.90	     = div_mod(int, 
3.72/3.90	         aa(int, int, 
3.72/3.90	           aa(int, fun(int, int), plus_plus(int), div_mod(int, l, d)), 
3.72/3.90	           div_mod(int, 
3.72/3.90	             aa(int, int, aa(int, fun(int, int), plus_plus(int), j), 
3.72/3.90	               iprod(int, ks, e)), d)), d),
3.72/3.90	    inference('cnf', [status(esa)], [fact_1_calculation])).
3.72/3.90	tff(arity_Int_Oint___Divides_Osemiring__div, axiom, (semiring_div(int))).
3.72/3.90	tff('1', plain, semiring_div(int),
3.72/3.90	    inference('cnf', [status(esa)], [arity_Int_Oint___Divides_Osemiring__div])).
3.72/3.90	tff(fact_11_mod__add__right__eq, axiom,
3.72/3.90	  (![A1:$tType]:
3.72/3.90	     (semiring_div(A1) =>
3.72/3.90	      (![C:A1,B1:A1,A:A1]:
3.72/3.90	         (div_mod(A1,aa(A1,A1,aa(A1,fun(A1,A1),plus_plus(A1),A),B1),C) =
3.72/3.90	          div_mod(A1,
3.72/3.90	                  aa(A1,A1,aa(A1,fun(A1,A1),plus_plus(A1),A),div_mod(A1,B1,C)),
3.72/3.90	                  C)))))).
3.72/3.90	tff('2', plain,
3.72/3.90	    ![X23 : $tType, X24 : X23, X25 : X23, X26 : X23]:
3.72/3.90	      (div_mod(X23, 
3.72/3.90	         aa(X23, X23, aa(X23, fun(X23, X23), plus_plus(X23), X24), X25), X26)
3.72/3.90	        = div_mod(X23, 
3.72/3.90	            aa(X23, X23, aa(X23, fun(X23, X23), plus_plus(X23), X24), 
3.72/3.90	              div_mod(X23, X25, X26)), X26)
3.72/3.90	       | ~ semiring_div(X23)),
3.72/3.90	    inference('cnf', [status(esa)], [fact_11_mod__add__right__eq])).
3.72/3.90	tff('3', plain,
3.72/3.90	    ![X0 : int, X1 : int, X2 : int]:
3.72/3.90	      (~ $true
3.72/3.90	       | div_mod(int, 
3.72/3.90	           aa(int, int, aa(int, fun(int, int), plus_plus(int), X2), X1), X0)
3.72/3.91	          = div_mod(int, 
3.72/3.91	              aa(int, int, aa(int, fun(int, int), plus_plus(int), X2), 
3.72/3.91	                div_mod(int, X1, X0)), X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['1', '2'])).
3.72/3.91	tff('4', plain,
3.72/3.91	    ![X0 : int, X1 : int, X2 : int]:
3.72/3.91	      div_mod(int, 
3.72/3.91	        aa(int, int, aa(int, fun(int, int), plus_plus(int), X2), X1), X0)
3.72/3.91	       = div_mod(int, 
3.72/3.91	           aa(int, int, aa(int, fun(int, int), plus_plus(int), X2), 
3.72/3.91	             div_mod(int, X1, X0)), X0),
3.72/3.91	    inference('simplify', [status(thm)], ['3'])).
3.72/3.91	tff('5', plain,
3.72/3.91	    div_mod(int, 
3.72/3.91	      aa(int, int, aa(int, fun(int, int), plus_plus(int), l), 
3.72/3.91	        aa(int, int, aa(int, fun(int, int), plus_plus(int), i), 
3.72/3.91	          iprod(int, ks, e))), d)
3.72/3.91	     = div_mod(int, 
3.72/3.91	         aa(int, int, 
3.72/3.91	           aa(int, fun(int, int), plus_plus(int), div_mod(int, l, d)), 
3.72/3.91	           aa(int, int, aa(int, fun(int, int), plus_plus(int), j), 
3.72/3.91	             iprod(int, ks, e))), d),
3.72/3.91	    inference('demod', [status(thm)], ['0', '4'])).
3.72/3.91	tff(arity_Int_Oint___Rings_Ocomm__semiring__1, axiom, (comm_semiring_1(int))).
3.72/3.91	tff('6', plain, comm_semiring_1(int),
3.72/3.91	    inference('cnf', [status(esa)],
3.72/3.91	              [arity_Int_Oint___Rings_Ocomm__semiring__1])).
3.72/3.91	tff(fact_30_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J, axiom,
3.72/3.91	  (![A1:$tType]:
3.72/3.91	     (comm_semiring_1(A1) =>
3.72/3.91	      (![C:A1,A:A1]:
3.72/3.91	         (aa(A1,A1,aa(A1,fun(A1,A1),plus_plus(A1),A),C) =
3.72/3.91	          aa(A1,A1,aa(A1,fun(A1,A1),plus_plus(A1),C),A)))))).
3.72/3.91	tff('7', plain,
3.72/3.91	    ![X91 : $tType, X92 : X91, X93 : X91]:
3.72/3.91	      (aa(X91, X91, aa(X91, fun(X91, X91), plus_plus(X91), X93), X92)
3.72/3.91	        = aa(X91, X91, aa(X91, fun(X91, X91), plus_plus(X91), X92), X93)
3.72/3.91	       | ~ comm_semiring_1(X91)),
3.72/3.91	    inference('cnf', [status(esa)],
3.72/3.91	              [fact_30_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J])).
3.72/3.91	tff('8', plain,
3.72/3.91	    ![X0 : int, X1 : int]:
3.72/3.91	      (~ $true
3.72/3.91	       | aa(int, int, aa(int, fun(int, int), plus_plus(int), X1), X0)
3.72/3.91	          = aa(int, int, aa(int, fun(int, int), plus_plus(int), X0), X1)),
3.72/3.91	    inference('sup-', [status(thm)], ['6', '7'])).
3.72/3.91	tff('9', plain,
3.72/3.91	    ![X0 : int, X1 : int]:
3.72/3.91	      aa(int, int, aa(int, fun(int, int), plus_plus(int), X1), X0)
3.72/3.91	       = aa(int, int, aa(int, fun(int, int), plus_plus(int), X0), X1),
3.72/3.91	    inference('simplify', [status(thm)], ['8'])).
3.72/3.91	tff('10', plain,
3.72/3.91	    div_mod(int, 
3.72/3.91	      aa(int, int, 
3.72/3.91	        aa(int, fun(int, int), plus_plus(int), 
3.72/3.91	          aa(int, int, 
3.72/3.91	            aa(int, fun(int, int), plus_plus(int), iprod(int, ks, e)), i)), 
3.72/3.91	        l), d)
3.72/3.91	     = div_mod(int, 
3.72/3.91	         aa(int, int, 
3.72/3.91	           aa(int, fun(int, int), plus_plus(int), 
3.72/3.91	             aa(int, int, 
3.72/3.91	               aa(int, fun(int, int), plus_plus(int), iprod(int, ks, e)), j)), 
3.72/3.91	           l), d),
3.72/3.91	    inference('demod', [status(thm)], ['5', '9', '9', '9', '9', '4'])).
3.72/3.91	tff(conj_0, conjecture,
3.72/3.91	  (div_mod(int,
3.72/3.91	           aa(int,int,aa(int,fun(int,int),plus_plus(int),div_mod(int,l,d)),
3.72/3.91	              div_mod(int,
3.72/3.91	                      aa(int,int,aa(int,fun(int,int),plus_plus(int),j),
3.72/3.91	                         iprod(int,ks,e)),
3.72/3.91	                      d)),
3.72/3.91	           d) =
3.72/3.91	   div_mod(int,
3.72/3.91	           aa(int,int,aa(int,fun(int,int),plus_plus(int),l),
3.72/3.91	              aa(int,int,aa(int,fun(int,int),plus_plus(int),j),
3.72/3.91	                 iprod(int,ks,e))),
3.72/3.91	           d))).
3.72/3.91	tff(zf_stmt_0, negated_conjecture,
3.72/3.91	  (div_mod(int,
3.72/3.91	           aa(int,int,aa(int,fun(int,int),plus_plus(int),div_mod(int,l,d)),
3.72/3.91	              div_mod(int,
3.72/3.91	                      aa(int,int,aa(int,fun(int,int),plus_plus(int),j),
3.72/3.91	                         iprod(int,ks,e)),
3.72/3.91	                      d)),
3.72/3.91	           d) !=
3.72/3.91	   div_mod(int,
3.72/3.91	           aa(int,int,aa(int,fun(int,int),plus_plus(int),l),
3.72/3.91	              aa(int,int,aa(int,fun(int,int),plus_plus(int),j),
3.72/3.91	                 iprod(int,ks,e))),
3.72/3.91	           d))).
3.72/3.91	tff('11', plain,
3.72/3.91	    div_mod(int, 
3.72/3.91	      aa(int, int, 
3.72/3.91	        aa(int, fun(int, int), plus_plus(int), div_mod(int, l, d)), 
3.72/3.91	        div_mod(int, 
3.72/3.91	          aa(int, int, aa(int, fun(int, int), plus_plus(int), j), 
3.72/3.91	            iprod(int, ks, e)), d)), d)
3.72/3.91	     != div_mod(int, 
3.72/3.91	          aa(int, int, aa(int, fun(int, int), plus_plus(int), l), 
3.72/3.91	            aa(int, int, aa(int, fun(int, int), plus_plus(int), j), 
3.72/3.91	              iprod(int, ks, e))), d),
3.72/3.91	    inference('cnf', [status(esa)], [zf_stmt_0])).
3.72/3.91	tff(fact_4__096i_Amod_Ad_A_061_Aj_Amod_Ad_096, axiom,
3.72/3.91	  (div_mod(int,i,d) = div_mod(int,j,d))).
3.72/3.91	tff('12', plain, div_mod(int, i, d) = div_mod(int, j, d),
3.72/3.91	    inference('cnf', [status(esa)],
3.72/3.91	              [fact_4__096i_Amod_Ad_A_061_Aj_Amod_Ad_096])).
3.72/3.91	tff('13', plain,
3.72/3.91	    ![X0 : int]:
3.72/3.91	      div_mod(int, 
3.72/3.91	        aa(int, int, aa(int, fun(int, int), plus_plus(int), X0), j), d)
3.72/3.91	       = div_mod(int, 
3.72/3.91	           aa(int, int, aa(int, fun(int, int), plus_plus(int), X0), 
3.72/3.91	             div_mod(int, i, d)), d),
3.72/3.91	    inference('sup+', [status(thm)], ['12', '4'])).
3.72/3.91	tff('14', plain,
3.72/3.91	    ![X0 : int]:
3.72/3.91	      div_mod(int, 
3.72/3.91	        aa(int, int, aa(int, fun(int, int), plus_plus(int), X0), j), d)
3.72/3.91	       = div_mod(int, 
3.72/3.91	           aa(int, int, aa(int, fun(int, int), plus_plus(int), X0), i), d),
3.72/3.91	    inference('demod', [status(thm)], ['13', '4'])).
3.72/3.91	tff(fact_12_mod__add__left__eq, axiom,
3.72/3.91	  (![A1:$tType]:
3.72/3.91	     (semiring_div(A1) =>
3.72/3.91	      (![C:A1,B1:A1,A:A1]:
3.72/3.91	         (div_mod(A1,aa(A1,A1,aa(A1,fun(A1,A1),plus_plus(A1),A),B1),C) =
3.72/3.91	          div_mod(A1,
3.72/3.91	                  aa(A1,A1,aa(A1,fun(A1,A1),plus_plus(A1),div_mod(A1,A,C)),B1),
3.72/3.91	                  C)))))).
3.72/3.91	tff('15', plain,
3.72/3.91	    ![X27 : $tType, X28 : X27, X29 : X27, X30 : X27]:
3.72/3.91	      (div_mod(X27, 
3.72/3.91	         aa(X27, X27, aa(X27, fun(X27, X27), plus_plus(X27), X28), X30), X29)
3.72/3.91	        = div_mod(X27, 
3.72/3.91	            aa(X27, X27, 
3.72/3.91	              aa(X27, fun(X27, X27), plus_plus(X27), div_mod(X27, X28, X29)), 
3.72/3.91	              X30), X29)
3.72/3.91	       | ~ semiring_div(X27)),
3.72/3.91	    inference('cnf', [status(esa)], [fact_12_mod__add__left__eq])).
3.72/3.91	tff('16', plain,
3.72/3.91	    ![X0 : int, X1 : int, X2 : int]:
3.72/3.91	      (~ $true
3.72/3.91	       | div_mod(int, 
3.72/3.91	           aa(int, int, aa(int, fun(int, int), plus_plus(int), X2), X1), X0)
3.72/3.91	          = div_mod(int, 
3.72/3.91	              aa(int, int, 
3.72/3.91	                aa(int, fun(int, int), plus_plus(int), div_mod(int, X2, X0)), 
3.72/3.91	                X1), X0)),
3.72/3.91	    inference('sup-', [status(thm)], ['1', '15'])).
3.72/3.91	tff('17', plain,
3.72/3.91	    ![X0 : int, X1 : int, X2 : int]:
3.72/3.91	      div_mod(int, 
3.72/3.91	        aa(int, int, aa(int, fun(int, int), plus_plus(int), X2), X1), X0)
3.72/3.91	       = div_mod(int, 
3.72/3.91	           aa(int, int, 
3.72/3.91	             aa(int, fun(int, int), plus_plus(int), div_mod(int, X2, X0)), 
3.72/3.91	             X1), X0),
3.72/3.91	    inference('simplify', [status(thm)], ['16'])).
3.72/3.91	tff('18', plain,
3.72/3.91	    div_mod(int, 
3.72/3.91	      aa(int, int, 
3.72/3.91	        aa(int, fun(int, int), plus_plus(int), 
3.72/3.91	          aa(int, int, 
3.72/3.91	            aa(int, fun(int, int), plus_plus(int), iprod(int, ks, e)), i)), 
3.72/3.91	        l), d)
3.72/3.91	     != div_mod(int, 
3.72/3.91	          aa(int, int, 
3.72/3.91	            aa(int, fun(int, int), plus_plus(int), 
3.72/3.91	              aa(int, int, 
3.72/3.91	                aa(int, fun(int, int), plus_plus(int), iprod(int, ks, e)), j)), 
3.72/3.91	            l), d),
3.72/3.91	    inference('demod', [status(thm)],
3.72/3.91	              ['11', '9', '14', '9', '17', '4', '9', '9'])).
3.72/3.91	tff('19', plain, $false,
3.72/3.91	    inference('simplify_reflect-', [status(thm)], ['10', '18'])).
3.72/3.91	
3.72/3.91	% SZS output end Refutation
3.72/3.91	EOF
