0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : original
0.00/0.01	% Variant    : supatvars_ext
0.00/0.01	% Ordering    : kbo
0.00/0.01	% Command    : 
0.00/0.01	#!/bin/sh
0.00/0.01	
0.00/0.01	./zipperposition.native ${1:+"$1"} \
0.00/0.01	  -i tptp \
0.00/0.01	  -o tptp \
0.00/0.01	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.01	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.01	  --no-avatar \
0.00/0.01	  --ho \
0.00/0.01	  --force-ho \
0.00/0.01	  --no-ho-elim-pred-var \
0.00/0.01	  --ho-general-ext-pos \
0.00/0.01	  --no-ho-unif \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2  \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --sup-at-vars \
0.00/0.01	  --restrict-hidden-sup-at-vars \
0.00/0.01	  --ho-ext-axiom \
0.00/0.01	  --ho-prim-enum none \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --dont-select-ho-var-lits \
0.00/0.01	  --no-fool
0.00/0.19	% Computer   : n170.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 07:17:38 CST 2018
2.92/3.15	% done 1449 iterations in 2.953s
2.92/3.15	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
2.92/3.15	% SZS output start Refutation
2.92/3.16	tff(help_fFalse_1_1_T, axiom, (![P:bool]: ((P = fFalse) | (P = fTrue)))).
2.92/3.16	tff('0', plain, ![X325 : bool]: (X325 = fFalse | X325 = fTrue),
2.92/3.16	    inference('cnf', [status(esa)], [help_fFalse_1_1_T])).
2.92/3.16	tff(help_pp_2_1_U, axiom, (pp(fTrue))).
2.92/3.16	tff('1', plain, pp(fTrue), inference('cnf', [status(esa)], [help_pp_2_1_U])).
2.92/3.16	tff('2', plain, ![X0 : bool]: (pp(X0) | X0 = fFalse),
2.92/3.16	    inference('sup+', [status(thm)], ['0', '1'])).
2.92/3.16	tff(conj_0, conjecture,
2.92/3.16	  (pp(aa(type,bool,
2.92/3.16	         aa(dB,fun(type,bool),typing(e),
2.92/3.16	            aa(nat,dB,
2.92/3.16	               aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,a),u),i)),
2.92/3.16	         t)))).
2.92/3.16	tff(zf_stmt_0, negated_conjecture,
2.92/3.16	  (~
2.92/3.16	    pp(aa(type,bool,
2.92/3.16	          aa(dB,fun(type,bool),typing(e),
2.92/3.16	             aa(nat,dB,
2.92/3.16	                aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,a),u),i)),
2.92/3.16	          t)))).
2.92/3.16	tff('3', plain,
2.92/3.16	    ~ pp(
2.92/3.16	        aa(type, bool, 
2.92/3.16	          aa(dB, fun(type, bool), typing(e), 
2.92/3.16	            aa(nat, dB, 
2.92/3.16	              aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, a), 
2.92/3.16	                u), i)), t)),
2.92/3.16	    inference('cnf', [status(esa)], [zf_stmt_0])).
2.92/3.16	tff(help_COMBC_1_1_U, axiom,
2.92/3.16	  (![A:$tType,C:$tType,B:$tType,R:A,Q:B,P:fun(A,fun(B,C))]:
2.92/3.16	     (aa(A,C,combc(A,B,C,P,Q),R) = aa(B,C,aa(A,fun(B,C),P,R),Q)))).
2.92/3.16	tff('4', plain,
2.92/3.16	    ![X305 : $tType, X306 : $tType, X307 : $tType, 
2.92/3.16	      X308 : fun(X307, fun(X305, X306)), X309 : X307, X310 : X305]:
2.92/3.16	      aa(X307, X306, combc(X307, X305, X306, X308, X310), X309)
2.92/3.16	       = aa(X305, X306, aa(X307, fun(X305, X306), X308, X309), X310),
2.92/3.16	    inference('cnf', [status(esa)], [help_COMBC_1_1_U])).
2.92/3.16	tff('5', plain,
2.92/3.16	    ~ pp(
2.92/3.16	        aa(dB, bool, combc(dB, type, bool, typing(e), t), 
2.92/3.16	          aa(dB, dB, 
2.92/3.16	            combc(dB, nat, dB, combc(dB, dB, fun(nat, dB), subst, u), i), a))),
2.92/3.16	    inference('demod', [status(thm)], ['3', '4', '4', '4'])).
2.92/3.16	tff('6', plain,
2.92/3.16	    (~ $true
2.92/3.16	     | aa(dB, bool, combc(dB, type, bool, typing(e), t), 
2.92/3.16	         aa(dB, dB, 
2.92/3.16	           combc(dB, nat, dB, combc(dB, dB, fun(nat, dB), subst, u), i), a))
2.92/3.16	        = fFalse),
2.92/3.16	    inference('sup-', [status(thm)], ['2', '5'])).
2.92/3.16	tff('7', plain,
2.92/3.16	    aa(dB, bool, combc(dB, type, bool, typing(e), t), 
2.92/3.16	      aa(dB, dB, 
2.92/3.16	        combc(dB, nat, dB, combc(dB, dB, fun(nat, dB), subst, u), i), a))
2.92/3.16	     = fFalse,
2.92/3.16	    inference('simplify', [status(thm)], ['6'])).
2.92/3.16	tff(fact_4_argT, axiom,
2.92/3.16	  (pp(aa(type,bool,aa(dB,fun(type,bool),typing(shift(type,e,i,t1)),a),t)))).
2.92/3.16	tff('8', plain,
2.92/3.16	    pp(
2.92/3.16	      aa(type, bool, 
2.92/3.16	        aa(dB, fun(type, bool), typing(shift(type, e, i, t1)), a), t)),
2.92/3.16	    inference('cnf', [status(esa)], [fact_4_argT])).
2.92/3.16	tff(help_pp_1_1_U, axiom, (~pp(fFalse))).
2.92/3.16	tff('9', plain, ~ pp(fFalse),
2.92/3.16	    inference('cnf', [status(esa)], [help_pp_1_1_U])).
2.92/3.16	tff('10', plain, ![X0 : bool]: (~ pp(X0) | X0 = fTrue),
2.92/3.16	    inference('sup-', [status(thm)], ['0', '9'])).
2.92/3.16	tff('11', plain,
2.92/3.16	    (~ $true
2.92/3.16	     | aa(type, bool, 
2.92/3.16	         aa(dB, fun(type, bool), typing(shift(type, e, i, t1)), a), t)
2.92/3.16	        = fTrue),
2.92/3.16	    inference('sup-', [status(thm)], ['8', '10'])).
2.92/3.16	tff('12', plain,
2.92/3.16	    aa(type, bool, 
2.92/3.16	      aa(dB, fun(type, bool), typing(shift(type, e, i, t1)), a), t)
2.92/3.16	     = fTrue,
2.92/3.16	    inference('simplify', [status(thm)], ['11'])).
2.92/3.16	tff(fact_7_subst__lemma, axiom,
2.92/3.16	  (![Ib:nat,Ua:type,Ub:dB,E:fun(nat,type),Ta1:type,Ta:dB,Eb:fun(nat,type)]:
2.92/3.16	     (pp(aa(type,bool,aa(dB,fun(type,bool),typing(Eb),Ta),Ta1)) =>
2.92/3.16	      (pp(aa(type,bool,aa(dB,fun(type,bool),typing(E),Ub),Ua)) =>
2.92/3.16	       ((Eb = shift(type,E,Ib,Ua)) =>
2.92/3.16	        pp(aa(type,bool,
2.92/3.16	              aa(dB,fun(type,bool),typing(E),
2.92/3.16	                 aa(nat,dB,
2.92/3.16	                    aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,Ta),Ub),
2.92/3.16	                    Ib)),
2.92/3.16	              Ta1))))))).
2.92/3.16	tff('13', plain,
2.92/3.16	    ![X0 : fun(nat, type), X1 : dB, X2 : type, X3 : dB, X4 : nat, X5 : type, 
2.92/3.16	      X6 : fun(nat, type)]:
2.92/3.16	      (~ pp(aa(type, bool, aa(dB, fun(type, bool), typing(X0), X1), X2))
2.92/3.16	       | pp(
2.92/3.16	           aa(type, bool, 
2.92/3.16	             aa(dB, fun(type, bool), typing(X0), 
2.92/3.16	               aa(nat, dB, 
2.92/3.16	                 aa(dB, fun(nat, dB), 
2.92/3.16	                   aa(dB, fun(dB, fun(nat, dB)), subst, X3), X1), X4)), X5))
2.92/3.16	       | ~ pp(aa(type, bool, aa(dB, fun(type, bool), typing(X6), X3), X5))
2.92/3.16	       | X6 != shift(type, X0, X4, X2)),
2.92/3.16	    inference('cnf', [status(esa)], [fact_7_subst__lemma])).
2.92/3.16	tff('14', plain,
2.92/3.16	    ![X0 : fun(nat, type), X1 : dB, X2 : type, X3 : dB, X4 : nat, X5 : type]:
2.92/3.16	      (~ pp(
2.92/3.16	           aa(type, bool, 
2.92/3.16	             aa(dB, fun(type, bool), typing(shift(type, X0, X4, X2)), X3), 
2.92/3.16	             X5))
2.92/3.16	       | pp(
2.92/3.16	           aa(type, bool, 
2.92/3.16	             aa(dB, fun(type, bool), typing(X0), 
2.92/3.16	               aa(nat, dB, 
2.92/3.16	                 aa(dB, fun(nat, dB), 
2.92/3.16	                   aa(dB, fun(dB, fun(nat, dB)), subst, X3), X1), X4)), X5))
2.92/3.16	       | ~ pp(aa(type, bool, aa(dB, fun(type, bool), typing(X0), X1), X2))),
2.92/3.16	    inference('simplify', [status(thm)], ['13'])).
2.92/3.16	tff('15', plain,
2.92/3.16	    ![X0 : dB]:
2.92/3.16	      (~ pp(fTrue)
2.92/3.16	       | ~ pp(aa(type, bool, aa(dB, fun(type, bool), typing(e), X0), t1))
2.92/3.16	       | pp(
2.92/3.16	           aa(type, bool, 
2.92/3.16	             aa(dB, fun(type, bool), typing(e), 
2.92/3.16	               aa(nat, dB, 
2.92/3.16	                 aa(dB, fun(nat, dB), 
2.92/3.16	                   aa(dB, fun(dB, fun(nat, dB)), subst, a), X0), i)), t))),
2.92/3.16	    inference('sup-', [status(thm)], ['12', '14'])).
2.92/3.16	tff('16', plain,
2.92/3.16	    ![X0 : dB]:
2.92/3.16	      (~ $true
2.92/3.16	       | ~ pp(aa(type, bool, aa(dB, fun(type, bool), typing(e), X0), t1))
2.92/3.16	       | pp(
2.92/3.16	           aa(type, bool, 
2.92/3.16	             aa(dB, fun(type, bool), typing(e), 
2.92/3.16	               aa(nat, dB, 
2.92/3.16	                 aa(dB, fun(nat, dB), 
2.92/3.16	                   aa(dB, fun(dB, fun(nat, dB)), subst, a), X0), i)), t))),
2.92/3.16	    inference('demod', [status(thm)], ['15', '1'])).
2.92/3.16	tff('17', plain,
2.92/3.16	    ![X0 : dB]:
2.92/3.16	      (pp(
2.92/3.16	         aa(type, bool, 
2.92/3.16	           aa(dB, fun(type, bool), typing(e), 
2.92/3.16	             aa(nat, dB, 
2.92/3.16	               aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, a), 
2.92/3.16	                 X0), i)), t))
2.92/3.16	       | ~ pp(aa(type, bool, aa(dB, fun(type, bool), typing(e), X0), t1))),
2.92/3.16	    inference('simplify', [status(thm)], ['16'])).
2.92/3.16	tff('18', plain,
2.92/3.16	    ![X0 : dB]:
2.92/3.16	      (pp(
2.92/3.16	         aa(dB, bool, combc(dB, type, bool, typing(e), t), 
2.92/3.16	           aa(dB, dB, 
2.92/3.16	             combc(dB, nat, dB, combc(dB, dB, fun(nat, dB), subst, X0), i), 
2.92/3.16	             a)))
2.92/3.16	       | ~ pp(aa(dB, bool, combc(dB, type, bool, typing(e), t1), X0))),
2.92/3.16	    inference('demod', [status(thm)], ['17', '4', '4', '4', '4'])).
2.92/3.16	tff('19', plain,
2.92/3.16	    (pp(fFalse) | ~ pp(aa(dB, bool, combc(dB, type, bool, typing(e), t1), u))),
2.92/3.16	    inference('sup+', [status(thm)], ['7', '18'])).
2.92/3.16	tff(fact_0_uT, axiom,
2.92/3.16	  (pp(aa(type,bool,aa(dB,fun(type,bool),typing(e),u),t1)))).
2.92/3.16	tff('20', plain,
2.92/3.16	    pp(aa(type, bool, aa(dB, fun(type, bool), typing(e), u), t1)),
2.92/3.16	    inference('cnf', [status(esa)], [fact_0_uT])).
2.92/3.16	tff('21', plain,
2.92/3.16	    (~ $true
2.92/3.16	     | aa(type, bool, aa(dB, fun(type, bool), typing(e), u), t1) = fTrue),
2.92/3.16	    inference('sup-', [status(thm)], ['20', '10'])).
2.92/3.16	tff('22', plain,
2.92/3.16	    aa(type, bool, aa(dB, fun(type, bool), typing(e), u), t1) = fTrue,
2.92/3.16	    inference('simplify', [status(thm)], ['21'])).
2.92/3.16	tff('23', plain,
2.92/3.16	    aa(dB, bool, combc(dB, type, bool, typing(e), t1), u) = fTrue,
2.92/3.16	    inference('demod', [status(thm)], ['22', '4'])).
2.92/3.16	tff('24', plain, (pp(fFalse) | ~ $true),
2.92/3.16	    inference('demod', [status(thm)], ['19', '23', '1'])).
2.92/3.16	tff('25', plain, pp(fFalse), inference('simplify', [status(thm)], ['24'])).
2.92/3.16	tff('26', plain, ~ $true, inference('sup-', [status(thm)], ['25', '9'])).
2.92/3.16	tff('27', plain, $false, inference('simplify', [status(thm)], ['26'])).
2.92/3.16	
2.92/3.16	% SZS output end Refutation
2.92/3.16	EOF
