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    : 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 $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --ho-purify ext \
0.00/0.00	  --ho-ext-axiom \
0.00/0.00	  --restrict-hidden-sup-at-vars \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n149.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 07:22:09 CST 2018
6.37/6.56	% done 976 iterations in 6.357s
6.37/6.56	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
6.37/6.56	% SZS output start Refutation
6.37/6.56	tff(fact_55_listsp_Osimps, axiom,
6.37/6.56	  (![A:$tType,Aa:list(A),A1:fun(A,bool)]:
6.37/6.56	     (listsp(A,A1,Aa) <=>
6.37/6.56	      ((?[A3:A,L:list(A)]:
6.37/6.56	          (listsp(A,A1,L) & pp(aa(A,bool,A1,A3)) & 
6.37/6.56	           (Aa = aa(list(A),list(A),aa(A,fun(list(A),list(A)),cons(A),A3),L)))) | 
6.37/6.56	       (Aa = nil(A)))))).
6.37/6.56	tff('0', plain,
6.37/6.56	    ![X172 : $tType, X173 : list(X172), X175 : fun(X172, bool), X176 : X172, 
6.37/6.56	      X177 : list(X172)]:
6.37/6.56	      (listsp(X172, X175, X173)
6.37/6.56	       | ~ pp(aa(X172, bool, X175, X176))
6.37/6.56	       | X173
6.37/6.56	          != aa(list(X172), list(X172), 
6.37/6.56	               aa(X172, fun(list(X172), list(X172)), cons(X172), X176), X177)
6.37/6.56	       | ~ listsp(X172, X175, X177)),
6.37/6.56	    inference('cnf', [status(esa)], [fact_55_listsp_Osimps])).
6.37/6.56	tff('1', plain,
6.37/6.56	    ![X172 : $tType, X175 : fun(X172, bool), X176 : X172, X177 : list(X172)]:
6.37/6.56	      (~ listsp(X172, X175, X177)
6.37/6.56	       | ~ pp(aa(X172, bool, X175, X176))
6.37/6.56	       | listsp(X172, X175, 
6.37/6.56	           aa(list(X172), list(X172), 
6.37/6.56	             aa(X172, fun(list(X172), list(X172)), cons(X172), X176), X177))),
6.37/6.56	    inference('simplify', [status(thm)], ['0'])).
6.37/6.56	tff(conj_0, conjecture,
6.37/6.56	  (listsp(dB,it,
6.37/6.56	          aa(list(dB),list(dB),
6.37/6.56	             aa(dB,fun(list(dB),list(dB)),cons(dB),
6.37/6.56	                aa(nat,dB,
6.37/6.56	                   aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,a),u),i)),
6.37/6.56	             aa(list(dB),list(dB),
6.37/6.56	                aa(fun(dB,dB),fun(list(dB),list(dB)),map(dB,dB),
6.37/6.56	                   aa(nat,fun(dB,dB),
6.37/6.56	                      combc(dB,nat,dB,
6.37/6.56	                            aa(dB,fun(dB,fun(nat,dB)),
6.37/6.56	                               combc(dB,dB,fun(nat,dB),subst),u)),
6.37/6.56	                      i)),
6.37/6.56	                as))))).
6.37/6.56	tff(zf_stmt_0, negated_conjecture,
6.37/6.56	  (~
6.37/6.56	    listsp(dB,it,
6.37/6.56	           aa(list(dB),list(dB),
6.37/6.56	              aa(dB,fun(list(dB),list(dB)),cons(dB),
6.37/6.56	                 aa(nat,dB,
6.37/6.56	                    aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,a),u),i)),
6.37/6.56	              aa(list(dB),list(dB),
6.37/6.56	                 aa(fun(dB,dB),fun(list(dB),list(dB)),map(dB,dB),
6.37/6.56	                    aa(nat,fun(dB,dB),
6.37/6.56	                       combc(dB,nat,dB,
6.37/6.56	                             aa(dB,fun(dB,fun(nat,dB)),
6.37/6.56	                                combc(dB,dB,fun(nat,dB),subst),u)),
6.37/6.56	                       i)),
6.37/6.56	                 as))))).
6.37/6.56	tff('2', plain,
6.37/6.56	    ~ listsp(dB, it, 
6.37/6.56	        aa(list(dB), list(dB), 
6.37/6.56	          aa(dB, fun(list(dB), list(dB)), cons(dB), 
6.37/6.56	            aa(nat, dB, 
6.37/6.56	              aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, a), 
6.37/6.56	                u), i)), 
6.37/6.56	          aa(list(dB), list(dB), 
6.37/6.56	            aa(fun(dB, dB), fun(list(dB), list(dB)), map(dB, dB), 
6.37/6.56	              aa(nat, fun(dB, dB), 
6.37/6.56	                combc(dB, nat, dB, 
6.37/6.56	                  aa(dB, fun(dB, fun(nat, dB)), 
6.37/6.56	                    combc(dB, dB, fun(nat, dB), subst), u)), i)), as))),
6.37/6.56	    inference('cnf', [status(esa)], [zf_stmt_0])).
6.37/6.56	tff('3', plain,
6.37/6.56	    (~ $true
6.37/6.56	     | ~ pp(
6.37/6.56	           aa(dB, bool, it, 
6.37/6.56	             aa(nat, dB, 
6.37/6.56	               aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, a), 
6.37/6.56	                 u), i)))
6.37/6.56	     | ~ listsp(dB, it, 
6.37/6.56	           aa(list(dB), list(dB), 
6.37/6.56	             aa(fun(dB, dB), fun(list(dB), list(dB)), map(dB, dB), 
6.37/6.56	               aa(nat, fun(dB, dB), 
6.37/6.56	                 combc(dB, nat, dB, 
6.37/6.56	                   aa(dB, fun(dB, fun(nat, dB)), 
6.37/6.56	                     combc(dB, dB, fun(nat, dB), subst), u)), i)), as))),
6.37/6.56	    inference('sup-', [status(thm)], ['1', '2'])).
6.37/6.56	tff(fact_4__096IT_A_Ia_091u_Pi_093_J_096, axiom,
6.37/6.56	  (pp(aa(dB,bool,it,
6.37/6.56	         aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,a),u),i))))).
6.37/6.56	tff('4', plain,
6.37/6.56	    pp(
6.37/6.56	      aa(dB, bool, it, 
6.37/6.56	        aa(nat, dB, 
6.37/6.56	          aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, a), u), 
6.37/6.56	          i))),
6.37/6.56	    inference('cnf', [status(esa)], [fact_4__096IT_A_Ia_091u_Pi_093_J_096])).
6.37/6.56	tff(fact_5_Cons_I3_J, axiom,
6.37/6.56	  (listsp(dB,it,
6.37/6.56	          aa(list(dB),list(dB),
6.37/6.56	             aa(fun(dB,dB),fun(list(dB),list(dB)),map(dB,dB),
6.37/6.56	                aa(nat,fun(dB,dB),
6.37/6.56	                   combc(dB,nat,dB,
6.37/6.56	                         aa(dB,fun(dB,fun(nat,dB)),
6.37/6.56	                            combc(dB,dB,fun(nat,dB),subst),u)),
6.37/6.56	                   i)),
6.37/6.56	             as)))).
6.37/6.56	tff('5', plain,
6.37/6.56	    listsp(dB, it, 
6.37/6.56	      aa(list(dB), list(dB), 
6.37/6.56	        aa(fun(dB, dB), fun(list(dB), list(dB)), map(dB, dB), 
6.37/6.56	          aa(nat, fun(dB, dB), 
6.37/6.56	            combc(dB, nat, dB, 
6.37/6.56	              aa(dB, fun(dB, fun(nat, dB)), 
6.37/6.56	                combc(dB, dB, fun(nat, dB), subst), u)), i)), as)),
6.37/6.56	    inference('cnf', [status(esa)], [fact_5_Cons_I3_J])).
6.37/6.56	tff('6', plain, (~ $true | ~ $true | ~ $true),
6.37/6.56	    inference('demod', [status(thm)], ['3', '4', '5'])).
6.37/6.56	tff('7', plain, $false, inference('simplify', [status(thm)], ['6'])).
6.37/6.56	
6.37/6.56	% SZS output end Refutation
6.37/6.56	EOF
