0.00/0.00	% File    : /export/starexec/sandbox2/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
0.00/0.20	% 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 07:17:53 CST 2018
3.31/3.49	% done 1449 iterations in 3.287s
3.31/3.49	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
3.31/3.49	% SZS output start Refutation
3.31/3.49	tff(help_fFalse_1_1_T, axiom, (![P:bool]: ((P = fFalse) | (P = fTrue)))).
3.31/3.49	tff('0', plain, ![X325 : bool]: (X325 = fFalse | X325 = fTrue),
3.31/3.49	    inference('cnf', [status(esa)], [help_fFalse_1_1_T])).
3.31/3.49	tff(help_pp_2_1_U, axiom, (pp(fTrue))).
3.31/3.49	tff('1', plain, pp(fTrue), inference('cnf', [status(esa)], [help_pp_2_1_U])).
3.31/3.49	tff('2', plain, ![X0 : bool]: (pp(X0) | X0 = fFalse),
3.31/3.49	    inference('sup+', [status(thm)], ['0', '1'])).
3.31/3.49	tff(conj_0, conjecture,
3.31/3.49	  (pp(aa(type,bool,
3.31/3.49	         aa(dB,fun(type,bool),typing(e),
3.31/3.49	            aa(nat,dB,
3.31/3.49	               aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,a),u),i)),
3.31/3.49	         t)))).
3.31/3.49	tff(zf_stmt_0, negated_conjecture,
3.31/3.49	  (~
3.31/3.49	    pp(aa(type,bool,
3.31/3.49	          aa(dB,fun(type,bool),typing(e),
3.31/3.49	             aa(nat,dB,
3.31/3.49	                aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,a),u),i)),
3.31/3.49	          t)))).
3.31/3.49	tff('3', plain,
3.31/3.49	    ~ pp(
3.31/3.49	        aa(type, bool, 
3.31/3.49	          aa(dB, fun(type, bool), typing(e), 
3.31/3.49	            aa(nat, dB, 
3.31/3.49	              aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, a), 
3.31/3.49	                u), i)), t)),
3.31/3.49	    inference('cnf', [status(esa)], [zf_stmt_0])).
3.31/3.49	tff(help_COMBC_1_1_U, axiom,
3.31/3.49	  (![A:$tType,C:$tType,B:$tType,R:A,Q:B,P:fun(A,fun(B,C))]:
3.31/3.49	     (aa(A,C,combc(A,B,C,P,Q),R) = aa(B,C,aa(A,fun(B,C),P,R),Q)))).
3.31/3.49	tff('4', plain,
3.31/3.49	    ![X305 : $tType, X306 : $tType, X307 : $tType, 
3.31/3.49	      X308 : fun(X307, fun(X305, X306)), X309 : X307, X310 : X305]:
3.31/3.49	      aa(X307, X306, combc(X307, X305, X306, X308, X310), X309)
3.31/3.49	       = aa(X305, X306, aa(X307, fun(X305, X306), X308, X309), X310),
3.31/3.49	    inference('cnf', [status(esa)], [help_COMBC_1_1_U])).
3.31/3.49	tff('5', plain,
3.31/3.49	    ~ pp(
3.31/3.49	        aa(dB, bool, combc(dB, type, bool, typing(e), t), 
3.31/3.49	          aa(dB, dB, 
3.31/3.49	            combc(dB, nat, dB, combc(dB, dB, fun(nat, dB), subst, u), i), a))),
3.31/3.49	    inference('demod', [status(thm)], ['3', '4', '4', '4'])).
3.31/3.49	tff('6', plain,
3.31/3.49	    (~ $true
3.31/3.49	     | aa(dB, bool, combc(dB, type, bool, typing(e), t), 
3.31/3.49	         aa(dB, dB, 
3.31/3.49	           combc(dB, nat, dB, combc(dB, dB, fun(nat, dB), subst, u), i), a))
3.31/3.49	        = fFalse),
3.31/3.49	    inference('sup-', [status(thm)], ['2', '5'])).
3.31/3.49	tff('7', plain,
3.31/3.49	    aa(dB, bool, combc(dB, type, bool, typing(e), t), 
3.31/3.49	      aa(dB, dB, 
3.31/3.49	        combc(dB, nat, dB, combc(dB, dB, fun(nat, dB), subst, u), i), a))
3.31/3.49	     = fFalse,
3.31/3.49	    inference('simplify', [status(thm)], ['6'])).
3.31/3.49	tff(fact_4_argT, axiom,
3.31/3.49	  (pp(aa(type,bool,aa(dB,fun(type,bool),typing(shift(type,e,i,t1)),a),t)))).
3.31/3.49	tff('8', plain,
3.31/3.49	    pp(
3.31/3.49	      aa(type, bool, 
3.31/3.49	        aa(dB, fun(type, bool), typing(shift(type, e, i, t1)), a), t)),
3.31/3.49	    inference('cnf', [status(esa)], [fact_4_argT])).
3.31/3.49	tff(help_pp_1_1_U, axiom, (~pp(fFalse))).
3.31/3.49	tff('9', plain, ~ pp(fFalse),
3.31/3.49	    inference('cnf', [status(esa)], [help_pp_1_1_U])).
3.31/3.49	tff('10', plain, ![X0 : bool]: (~ pp(X0) | X0 = fTrue),
3.31/3.49	    inference('sup-', [status(thm)], ['0', '9'])).
3.31/3.49	tff('11', plain,
3.31/3.49	    (~ $true
3.31/3.49	     | aa(type, bool, 
3.31/3.49	         aa(dB, fun(type, bool), typing(shift(type, e, i, t1)), a), t)
3.31/3.49	        = fTrue),
3.31/3.49	    inference('sup-', [status(thm)], ['8', '10'])).
3.31/3.49	tff('12', plain,
3.31/3.49	    aa(type, bool, 
3.31/3.49	      aa(dB, fun(type, bool), typing(shift(type, e, i, t1)), a), t)
3.31/3.49	     = fTrue,
3.31/3.49	    inference('simplify', [status(thm)], ['11'])).
3.31/3.49	tff(fact_7_subst__lemma, axiom,
3.31/3.49	  (![Ib:nat,Ua:type,Ub:dB,E:fun(nat,type),Ta1:type,Ta:dB,Eb:fun(nat,type)]:
3.31/3.49	     (pp(aa(type,bool,aa(dB,fun(type,bool),typing(Eb),Ta),Ta1)) =>
3.31/3.49	      (pp(aa(type,bool,aa(dB,fun(type,bool),typing(E),Ub),Ua)) =>
3.31/3.49	       ((Eb = shift(type,E,Ib,Ua)) =>
3.31/3.49	        pp(aa(type,bool,
3.31/3.49	              aa(dB,fun(type,bool),typing(E),
3.31/3.49	                 aa(nat,dB,
3.31/3.49	                    aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,Ta),Ub),
3.31/3.49	                    Ib)),
3.31/3.49	              Ta1))))))).
3.31/3.49	tff('13', plain,
3.31/3.49	    ![X0 : fun(nat, type), X1 : dB, X2 : type, X3 : dB, X4 : nat, X5 : type, 
3.31/3.49	      X6 : fun(nat, type)]:
3.31/3.49	      (~ pp(aa(type, bool, aa(dB, fun(type, bool), typing(X0), X1), X2))
3.31/3.49	       | pp(
3.31/3.49	           aa(type, bool, 
3.31/3.49	             aa(dB, fun(type, bool), typing(X0), 
3.31/3.49	               aa(nat, dB, 
3.31/3.49	                 aa(dB, fun(nat, dB), 
3.31/3.49	                   aa(dB, fun(dB, fun(nat, dB)), subst, X3), X1), X4)), X5))
3.31/3.49	       | ~ pp(aa(type, bool, aa(dB, fun(type, bool), typing(X6), X3), X5))
3.31/3.49	       | X6 != shift(type, X0, X4, X2)),
3.31/3.49	    inference('cnf', [status(esa)], [fact_7_subst__lemma])).
3.31/3.49	tff('14', plain,
3.31/3.49	    ![X0 : fun(nat, type), X1 : dB, X2 : type, X3 : dB, X4 : nat, X5 : type]:
3.31/3.49	      (~ pp(
3.31/3.49	           aa(type, bool, 
3.31/3.49	             aa(dB, fun(type, bool), typing(shift(type, X0, X4, X2)), X3), 
3.31/3.49	             X5))
3.31/3.49	       | pp(
3.31/3.49	           aa(type, bool, 
3.31/3.49	             aa(dB, fun(type, bool), typing(X0), 
3.31/3.49	               aa(nat, dB, 
3.31/3.49	                 aa(dB, fun(nat, dB), 
3.31/3.49	                   aa(dB, fun(dB, fun(nat, dB)), subst, X3), X1), X4)), X5))
3.31/3.49	       | ~ pp(aa(type, bool, aa(dB, fun(type, bool), typing(X0), X1), X2))),
3.31/3.49	    inference('simplify', [status(thm)], ['13'])).
3.31/3.49	tff('15', plain,
3.31/3.49	    ![X0 : dB]:
3.31/3.49	      (~ pp(fTrue)
3.31/3.49	       | ~ pp(aa(type, bool, aa(dB, fun(type, bool), typing(e), X0), t1))
3.31/3.49	       | pp(
3.31/3.49	           aa(type, bool, 
3.31/3.49	             aa(dB, fun(type, bool), typing(e), 
3.31/3.49	               aa(nat, dB, 
3.31/3.49	                 aa(dB, fun(nat, dB), 
3.31/3.49	                   aa(dB, fun(dB, fun(nat, dB)), subst, a), X0), i)), t))),
3.31/3.49	    inference('sup-', [status(thm)], ['12', '14'])).
3.31/3.49	tff('16', plain,
3.31/3.49	    ![X0 : dB]:
3.31/3.49	      (~ $true
3.31/3.49	       | ~ pp(aa(type, bool, aa(dB, fun(type, bool), typing(e), X0), t1))
3.31/3.49	       | pp(
3.31/3.49	           aa(type, bool, 
3.31/3.49	             aa(dB, fun(type, bool), typing(e), 
3.31/3.49	               aa(nat, dB, 
3.31/3.49	                 aa(dB, fun(nat, dB), 
3.31/3.49	                   aa(dB, fun(dB, fun(nat, dB)), subst, a), X0), i)), t))),
3.31/3.49	    inference('demod', [status(thm)], ['15', '1'])).
3.31/3.49	tff('17', plain,
3.31/3.49	    ![X0 : dB]:
3.31/3.49	      (pp(
3.31/3.49	         aa(type, bool, 
3.31/3.49	           aa(dB, fun(type, bool), typing(e), 
3.31/3.49	             aa(nat, dB, 
3.31/3.49	               aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, a), 
3.31/3.49	                 X0), i)), t))
3.31/3.49	       | ~ pp(aa(type, bool, aa(dB, fun(type, bool), typing(e), X0), t1))),
3.31/3.49	    inference('simplify', [status(thm)], ['16'])).
3.31/3.49	tff('18', plain,
3.31/3.49	    ![X0 : dB]:
3.31/3.49	      (pp(
3.31/3.49	         aa(dB, bool, combc(dB, type, bool, typing(e), t), 
3.31/3.49	           aa(dB, dB, 
3.31/3.49	             combc(dB, nat, dB, combc(dB, dB, fun(nat, dB), subst, X0), i), 
3.31/3.49	             a)))
3.31/3.49	       | ~ pp(aa(dB, bool, combc(dB, type, bool, typing(e), t1), X0))),
3.31/3.49	    inference('demod', [status(thm)], ['17', '4', '4', '4', '4'])).
3.31/3.49	tff('19', plain,
3.31/3.49	    (pp(fFalse) | ~ pp(aa(dB, bool, combc(dB, type, bool, typing(e), t1), u))),
3.31/3.49	    inference('sup+', [status(thm)], ['7', '18'])).
3.31/3.49	tff(fact_0_uT, axiom,
3.31/3.49	  (pp(aa(type,bool,aa(dB,fun(type,bool),typing(e),u),t1)))).
3.31/3.49	tff('20', plain,
3.31/3.49	    pp(aa(type, bool, aa(dB, fun(type, bool), typing(e), u), t1)),
3.31/3.49	    inference('cnf', [status(esa)], [fact_0_uT])).
3.31/3.49	tff('21', plain,
3.31/3.49	    (~ $true
3.31/3.49	     | aa(type, bool, aa(dB, fun(type, bool), typing(e), u), t1) = fTrue),
3.31/3.49	    inference('sup-', [status(thm)], ['20', '10'])).
3.31/3.49	tff('22', plain,
3.31/3.49	    aa(type, bool, aa(dB, fun(type, bool), typing(e), u), t1) = fTrue,
3.31/3.49	    inference('simplify', [status(thm)], ['21'])).
3.31/3.49	tff('23', plain,
3.31/3.49	    aa(dB, bool, combc(dB, type, bool, typing(e), t1), u) = fTrue,
3.31/3.49	    inference('demod', [status(thm)], ['22', '4'])).
3.31/3.49	tff('24', plain, (pp(fFalse) | ~ $true),
3.31/3.49	    inference('demod', [status(thm)], ['19', '23', '1'])).
3.31/3.49	tff('25', plain, pp(fFalse), inference('simplify', [status(thm)], ['24'])).
3.31/3.49	tff('26', plain, ~ $true, inference('sup-', [status(thm)], ['25', '9'])).
3.31/3.49	tff('27', plain, $false, inference('simplify', [status(thm)], ['26'])).
3.31/3.49	
3.31/3.49	% SZS output end Refutation
3.31/3.49	EOF
