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    : supatvars_int
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	  --sup-at-vars \
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
0.00/0.19	% Computer   : n172.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 07:05:53 CST 2018
47.21/47.41	% done 3084 iterations in 47.212s
47.21/47.41	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
47.21/47.41	% SZS output start Refutation
47.21/47.41	tff(help_fFalse_1_1_T, axiom, (![P:bool]: ((P = fFalse) | (P = fTrue)))).
47.21/47.41	tff('0', plain, ![X346 : bool]: (X346 = fFalse | X346 = fTrue),
47.21/47.41	    inference('cnf', [status(esa)], [help_fFalse_1_1_T])).
47.21/47.41	tff('1', plain, ![X0 : bool, X1 : bool]: (X1 = X0 | X0 = fTrue | X1 = fTrue),
47.21/47.41	    inference('sup+', [status(thm)], ['0', '0'])).
47.21/47.41	tff(fact_2_uIT, axiom, (pp(aa(dB,bool,it,u)))).
47.21/47.41	tff('2', plain, pp(aa(dB, bool, it, u)),
47.21/47.41	    inference('cnf', [status(esa)], [fact_2_uIT])).
47.21/47.41	tff(help_pp_1_1_U, axiom, (~pp(fFalse))).
47.21/47.41	tff('3', plain, ~ pp(fFalse),
47.21/47.41	    inference('cnf', [status(esa)], [help_pp_1_1_U])).
47.21/47.41	tff('4', plain, ![X0 : bool]: (~ pp(X0) | X0 = fTrue),
47.21/47.41	    inference('sup-', [status(thm)], ['0', '3'])).
47.21/47.41	tff('5', plain, (~ $true | aa(dB, bool, it, u) = fTrue),
47.21/47.41	    inference('sup-', [status(thm)], ['2', '4'])).
47.21/47.41	tff('6', plain, aa(dB, bool, it, u) = fTrue,
47.21/47.41	    inference('simplify', [status(thm)], ['5'])).
47.21/47.41	tff('7', plain,
47.21/47.41	    ![X0 : bool, X1 : bool]:
47.21/47.41	      (X1 = X0 | X0 = aa(dB, bool, it, u) | X1 = aa(dB, bool, it, u)),
47.21/47.41	    inference('demod', [status(thm)], ['1', '6', '6'])).
47.21/47.41	tff(fact_6_argT, axiom, (pp(aa(type,bool,typing(shift(type,e,i,t),a),t2)))).
47.21/47.41	tff('8', plain, pp(aa(type, bool, typing(shift(type, e, i, t), a), t2)),
47.21/47.41	    inference('cnf', [status(esa)], [fact_6_argT])).
47.21/47.41	tff('9', plain,
47.21/47.41	    (~ $true | aa(type, bool, typing(shift(type, e, i, t), a), t2) = fTrue),
47.21/47.41	    inference('sup-', [status(thm)], ['8', '4'])).
47.21/47.41	tff('10', plain, aa(type, bool, typing(shift(type, e, i, t), a), t2) = fTrue,
47.21/47.41	    inference('simplify', [status(thm)], ['9'])).
47.21/47.41	tff('11', plain,
47.21/47.41	    aa(dB, bool, it, u) = aa(type, bool, typing(shift(type, e, i, t), a), t2),
47.21/47.41	    inference('sup+', [status(thm)], ['10', '6'])).
47.21/47.41	tff('12', plain,
47.21/47.41	    ![X0 : bool]:
47.21/47.41	      (aa(dB, bool, it, u) = X0
47.21/47.41	       | X0 = aa(dB, bool, it, u)
47.21/47.41	       | aa(type, bool, typing(shift(type, e, i, t), a), t2)
47.21/47.41	          = aa(dB, bool, it, u)),
47.21/47.41	    inference('sup+', [status(thm)], ['7', '11'])).
47.21/47.41	tff('13', plain,
47.21/47.41	    ![X0 : bool]:
47.21/47.41	      (aa(type, bool, typing(shift(type, e, i, t), a), t2)
47.21/47.41	        = aa(dB, bool, it, u)
47.21/47.41	       | aa(dB, bool, it, u) = X0),
47.21/47.41	    inference('simplify', [status(thm)], ['12'])).
47.21/47.41	tff(fact_38_subst__eq, axiom, (![U1:dB,K:nat]: (subst(var(K),U1,K) = U1))).
47.21/47.41	tff('14', plain,
47.21/47.41	    ![X101 : dB, X102 : nat]: subst(var(X102), X101, X102) = X101,
47.21/47.41	    inference('cnf', [status(esa)], [fact_38_subst__eq])).
47.21/47.41	tff(help_COMBC_1_1_U, axiom,
47.21/47.41	  (![A:$tType,C:$tType,B:$tType,R:A,Q:B,P:fun(A,fun(B,C))]:
47.21/47.41	     (aa(A,C,combc(A,B,C,P,Q),R) = aa(B,C,aa(A,fun(B,C),P,R),Q)))).
47.21/47.41	tff('15', plain,
47.21/47.41	    ![X326 : $tType, X327 : $tType, X328 : $tType, 
47.21/47.41	      X329 : fun(X328, fun(X326, X327)), X330 : X328, X331 : X326]:
47.21/47.41	      aa(X328, X327, combc(X328, X326, X327, X329, X331), X330)
47.21/47.41	       = aa(X326, X327, aa(X328, fun(X326, X327), X329, X330), X331),
47.21/47.41	    inference('cnf', [status(esa)], [help_COMBC_1_1_U])).
47.21/47.41	tff(help_COMBI_1_1_U, axiom, (![A:$tType,P:A]: (aa(A,A,combi(A),P) = P))).
47.21/47.41	tff('16', plain,
47.21/47.41	    ![X332 : $tType, X333 : X332]: aa(X332, X332, combi(X332), X333) = X333,
47.21/47.41	    inference('cnf', [status(esa)], [help_COMBI_1_1_U])).
47.21/47.41	tff(help_COMBS_1_1_U, axiom,
47.21/47.41	  (![C:$tType,B:$tType,A:$tType,R:A,Q:fun(A,B),P:fun(A,fun(B,C))]:
47.21/47.41	     (aa(A,C,combs(A,B,C,P,Q),R) = aa(B,C,aa(A,fun(B,C),P,R),aa(A,B,Q,R))))).
47.21/47.41	tff('17', plain,
47.21/47.41	    ![X334 : $tType, X335 : $tType, X336 : $tType, 
47.21/47.41	      X337 : fun(X336, fun(X334, X335)), X338 : X336, X339 : fun(X336, X334)]:
47.21/47.41	      aa(X336, X335, combs(X336, X334, X335, X337, X339), X338)
47.21/47.41	       = aa(X334, X335, aa(X336, fun(X334, X335), X337, X338), 
47.21/47.41	           aa(X336, X334, X339, X338)),
47.21/47.41	    inference('cnf', [status(esa)], [help_COMBS_1_1_U])).
47.21/47.41	tff('18', plain,
47.21/47.41	    ![X0 : $tType, X1 : X0, X2 : $tType, X3 : fun(X0, fun(X0, X2))]:
47.21/47.41	      aa(X0, X2, combs(X0, X0, X2, X3, combi(X0)), X1)
47.21/47.41	       = aa(X0, X2, aa(X0, fun(X0, X2), X3, X1), X1),
47.21/47.41	    inference('sup+', [status(thm)], ['16', '17'])).
47.21/47.41	tff(fact_73_beta, axiom,
47.21/47.41	  (![T1:dB,S2:dB]:
47.21/47.41	     pp(aa(dB,bool,
47.21/47.41	           aa(dB,fun(dB,bool),beta,aa(dB,dB,aa(dB,fun(dB,dB),app,abs(S2)),T1)),
47.21/47.41	           subst(S2,T1,zero_zero(nat)))))).
47.21/47.41	tff('19', plain,
47.21/47.41	    ![X212 : dB, X213 : dB]:
47.21/47.41	      pp(
47.21/47.41	        aa(dB, bool, 
47.21/47.41	          aa(dB, fun(dB, bool), beta, 
47.21/47.41	            aa(dB, dB, aa(dB, fun(dB, dB), app, abs(X212)), X213)), 
47.21/47.41	          subst(X212, X213, zero_zero(nat)))),
47.21/47.41	    inference('cnf', [status(esa)], [fact_73_beta])).
47.21/47.41	tff('20', plain,
47.21/47.41	    ![X0 : dB]:
47.21/47.41	      pp(
47.21/47.41	        aa(dB, bool, 
47.21/47.41	          aa(dB, fun(dB, bool), beta, 
47.21/47.41	            aa(dB, dB, combs(dB, dB, dB, app, combi(dB)), abs(X0))), 
47.21/47.41	          subst(X0, abs(X0), zero_zero(nat)))),
47.21/47.41	    inference('sup+', [status(thm)], ['18', '19'])).
47.21/47.41	tff('21', plain,
47.21/47.41	    ![X0 : dB]:
47.21/47.41	      pp(
47.21/47.41	        aa(dB, bool, 
47.21/47.41	          combc(dB, dB, bool, beta, subst(X0, abs(X0), zero_zero(nat))), 
47.21/47.41	          aa(dB, dB, combs(dB, dB, dB, app, combi(dB)), abs(X0)))),
47.21/47.41	    inference('sup+', [status(thm)], ['15', '20'])).
47.21/47.41	tff('22', plain,
47.21/47.41	    ![X346 : bool]: (X346 = fFalse | X346 = aa(dB, bool, it, u)),
47.21/47.41	    inference('demod', [status(thm)], ['0', '6'])).
47.21/47.41	tff(fact_13_Var__IT, axiom, (![N1:nat]: pp(aa(dB,bool,it,var(N1))))).
47.21/47.41	tff('23', plain, ![X23 : nat]: pp(aa(dB, bool, it, var(X23))),
47.21/47.41	    inference('cnf', [status(esa)], [fact_13_Var__IT])).
47.21/47.41	tff('24', plain, ![X0 : nat]: (~ $true | aa(dB, bool, it, var(X0)) = fTrue),
47.21/47.41	    inference('sup-', [status(thm)], ['23', '4'])).
47.21/47.41	tff('25', plain, ![X0 : nat]: aa(dB, bool, it, var(X0)) = fTrue,
47.21/47.41	    inference('simplify', [status(thm)], ['24'])).
47.21/47.41	tff('26', plain,
47.21/47.41	    ![X0 : nat]: aa(dB, bool, it, var(X0)) = aa(dB, bool, it, u),
47.21/47.41	    inference('demod', [status(thm)], ['25', '6'])).
47.21/47.41	tff('27', plain,
47.21/47.41	    ![X0 : bool, X1 : nat]: (aa(dB, bool, it, var(X1)) = X0 | X0 = fFalse),
47.21/47.41	    inference('sup+', [status(thm)], ['22', '26'])).
47.21/47.41	tff(help_pp_2_1_U, axiom, (pp(fTrue))).
47.21/47.41	tff('28', plain, pp(fTrue), inference('cnf', [status(esa)], [help_pp_2_1_U])).
47.21/47.41	tff('29', plain, ![X0 : bool]: (pp(X0) | X0 = fFalse),
47.21/47.41	    inference('sup+', [status(thm)], ['0', '28'])).
47.21/47.41	tff('30', plain, ![X0 : bool, X1 : bool]: (X1 = X0 | pp(X0) | pp(X1)),
47.21/47.41	    inference('sup+', [status(thm)], ['29', '29'])).
47.21/47.41	tff(conj_0, conjecture, (pp(aa(dB,bool,it,subst(a,u,i))))).
47.21/47.41	tff(zf_stmt_0, negated_conjecture, (~pp(aa(dB,bool,it,subst(a,u,i))))).
47.21/47.41	tff('31', plain, ~ pp(aa(dB, bool, it, subst(a, u, i))),
47.21/47.41	    inference('cnf', [status(esa)], [zf_stmt_0])).
47.21/47.41	tff('32', plain,
47.21/47.41	    ![X0 : bool]: (~ $true | pp(X0) | X0 = aa(dB, bool, it, subst(a, u, i))),
47.21/47.41	    inference('sup-', [status(thm)], ['30', '31'])).
47.21/47.41	tff('33', plain,
47.21/47.41	    ![X0 : bool]: (X0 = aa(dB, bool, it, subst(a, u, i)) | pp(X0)),
47.21/47.41	    inference('simplify', [status(thm)], ['32'])).
47.21/47.41	tff('34', plain, (~ $true | fFalse = aa(dB, bool, it, subst(a, u, i))),
47.21/47.41	    inference('sup-', [status(thm)], ['33', '3'])).
47.21/47.41	tff('35', plain, fFalse = aa(dB, bool, it, subst(a, u, i)),
47.21/47.41	    inference('simplify', [status(thm)], ['34'])).
47.21/47.41	tff('36', plain,
47.21/47.41	    ![X0 : bool, X1 : nat]:
47.21/47.41	      (aa(dB, bool, it, var(X1)) = X0 | X0 = aa(dB, bool, it, subst(a, u, i))),
47.21/47.41	    inference('demod', [status(thm)], ['27', '35'])).
47.21/47.41	tff('37', plain,
47.21/47.41	    ![X0 : bool, X1 : nat]: (~ pp(X0) | aa(dB, bool, it, var(X1)) = X0),
47.21/47.41	    inference('sup-', [status(thm)], ['36', '31'])).
47.21/47.41	tff('38', plain,
47.21/47.41	    ![X0 : dB, X1 : nat]:
47.21/47.41	      (~ $true
47.21/47.41	       | aa(dB, bool, it, var(X1))
47.21/47.41	          = aa(dB, bool, 
47.21/47.41	              combc(dB, dB, bool, beta, subst(X0, abs(X0), zero_zero(nat))), 
47.21/47.41	              aa(dB, dB, combs(dB, dB, dB, app, combi(dB)), abs(X0)))),
47.21/47.41	    inference('sup-', [status(thm)], ['21', '37'])).
47.21/47.41	tff('39', plain,
47.21/47.41	    ![X0 : dB, X1 : nat]:
47.21/47.41	      aa(dB, bool, it, var(X1))
47.21/47.41	       = aa(dB, bool, 
47.21/47.41	           combc(dB, dB, bool, beta, subst(X0, abs(X0), zero_zero(nat))), 
47.21/47.41	           aa(dB, dB, combs(dB, dB, dB, app, combi(dB)), abs(X0))),
47.21/47.41	    inference('simplify', [status(thm)], ['38'])).
47.21/47.41	tff('40', plain,
47.21/47.41	    ![X0 : dB]:
47.21/47.41	      aa(dB, bool, 
47.21/47.41	        combc(dB, dB, bool, beta, subst(X0, abs(X0), zero_zero(nat))), 
47.21/47.41	        aa(dB, dB, combs(dB, dB, dB, app, combi(dB)), abs(X0)))
47.21/47.41	       = aa(dB, bool, it, u),
47.21/47.41	    inference('sup+', [status(thm)], ['39', '26'])).
47.21/47.41	tff('41', plain,
47.21/47.41	    aa(dB, bool, combc(dB, dB, bool, beta, abs(var(zero_zero(nat)))), 
47.21/47.41	      aa(dB, dB, combs(dB, dB, dB, app, combi(dB)), abs(var(zero_zero(nat)))))
47.21/47.41	     = aa(dB, bool, it, u),
47.21/47.41	    inference('sup+', [status(thm)], ['14', '40'])).
47.21/47.41	tff('42', plain,
47.21/47.41	    aa(dB, bool, 
47.21/47.41	      aa(dB, fun(dB, bool), beta, 
47.21/47.41	        aa(dB, dB, aa(dB, fun(dB, dB), app, abs(var(zero_zero(nat)))), 
47.21/47.41	          abs(var(zero_zero(nat))))), abs(var(zero_zero(nat))))
47.21/47.41	     = aa(dB, bool, it, u),
47.21/47.41	    inference('demod', [status(thm)], ['41', '18', '15'])).
47.21/47.41	tff('43', plain,
47.21/47.41	    ![X0 : bool]:
47.21/47.41	      (aa(type, bool, typing(shift(type, e, i, t), a), t2)
47.21/47.41	        = aa(dB, bool, 
47.21/47.41	            aa(dB, fun(dB, bool), beta, 
47.21/47.41	              aa(dB, dB, aa(dB, fun(dB, dB), app, abs(var(zero_zero(nat)))), 
47.21/47.41	                abs(var(zero_zero(nat))))), abs(var(zero_zero(nat))))
47.21/47.41	       | aa(dB, bool, 
47.21/47.41	           aa(dB, fun(dB, bool), beta, 
47.21/47.41	             aa(dB, dB, aa(dB, fun(dB, dB), app, abs(var(zero_zero(nat)))), 
47.21/47.41	               abs(var(zero_zero(nat))))), abs(var(zero_zero(nat))))
47.21/47.41	          = X0),
47.21/47.41	    inference('demod', [status(thm)], ['13', '42', '42'])).
47.21/47.41	tff('44', plain,
47.21/47.41	    aa(type, bool, typing(shift(type, e, i, t), a), t2)
47.21/47.41	     = aa(dB, bool, 
47.21/47.41	         aa(dB, fun(dB, bool), beta, 
47.21/47.41	           aa(dB, dB, aa(dB, fun(dB, dB), app, abs(var(zero_zero(nat)))), 
47.21/47.41	             abs(var(zero_zero(nat))))), abs(var(zero_zero(nat)))),
47.21/47.41	    inference('condensation', [status(thm)], ['43'])).
47.21/47.41	tff(fact_3_uT, axiom, (pp(aa(type,bool,typing(e,u),t)))).
47.21/47.41	tff('45', plain, pp(aa(type, bool, typing(e, u), t)),
47.21/47.41	    inference('cnf', [status(esa)], [fact_3_uT])).
47.21/47.41	tff(fact_4__096ALL_Ae_AT_H_Au_Ai_O_Ae_060i_058T_062_A_092_060turnstile_062_Aa_A_058_AT_H_A_N_N_062_AIT_Au_A_N_N_062_Ae_A_092_060turnstile_062_Au_A_058_AT_A_N_N_062_AIT_A_Ia_091u_Pi_093_J_096, axiom,
47.21/47.41	  (![E1:fun(nat,type),T5:type,U3:dB,I1:nat]:
47.21/47.41	     (pp(aa(type,bool,typing(shift(type,E1,I1,t),a),T5)) =>
47.21/47.41	      (pp(aa(dB,bool,it,U3)) =>
47.21/47.41	       (pp(aa(type,bool,typing(E1,U3),t)) =>
47.21/47.41	        pp(aa(dB,bool,it,subst(a,U3,I1)))))))).
47.21/47.41	tff('46', plain,
47.21/47.41	    ![X0 : dB, X1 : fun(nat, type), X2 : nat, X3 : type]:
47.21/47.41	      (~ pp(aa(dB, bool, it, X0))
47.21/47.41	       | ~ pp(aa(type, bool, typing(X1, X0), t))
47.21/47.41	       | ~ pp(aa(type, bool, typing(shift(type, X1, X2, t), a), X3))
47.21/47.41	       | pp(aa(dB, bool, it, subst(a, X0, X2)))),
47.21/47.41	    inference('cnf', [status(esa)],
47.21/47.41	              [fact_4__096ALL_Ae_AT_H_Au_Ai_O_Ae_060i_058T_062_A_092_060turnstile_062_Aa_A_058_AT_H_A_N_N_062_AIT_Au_A_N_N_062_Ae_A_092_060turnstile_062_Au_A_058_AT_A_N_N_062_AIT_A_Ia_091u_Pi_093_J_096])).
47.21/47.41	tff('47', plain,
47.21/47.41	    ![X0 : nat, X1 : type]:
47.21/47.41	      (~ $true
47.21/47.41	       | pp(aa(dB, bool, it, subst(a, u, X0)))
47.21/47.41	       | ~ pp(aa(type, bool, typing(shift(type, e, X0, t), a), X1))
47.21/47.41	       | ~ pp(aa(dB, bool, it, u))),
47.21/47.41	    inference('sup-', [status(thm)], ['45', '46'])).
47.21/47.41	tff('48', plain,
47.21/47.41	    ![X0 : nat, X1 : type]:
47.21/47.41	      (~ $true
47.21/47.41	       | pp(aa(dB, bool, it, subst(a, u, X0)))
47.21/47.41	       | ~ pp(aa(type, bool, typing(shift(type, e, X0, t), a), X1))
47.21/47.41	       | ~ $true),
47.21/47.41	    inference('demod', [status(thm)], ['47', '2'])).
47.21/47.41	tff('49', plain,
47.21/47.41	    ![X0 : nat, X1 : type]:
47.21/47.41	      (~ pp(aa(type, bool, typing(shift(type, e, X0, t), a), X1))
47.21/47.41	       | pp(aa(dB, bool, it, subst(a, u, X0)))),
47.21/47.41	    inference('simplify', [status(thm)], ['48'])).
47.21/47.41	tff('50', plain,
47.21/47.41	    (~ pp(
47.21/47.41	         aa(dB, bool, 
47.21/47.41	           aa(dB, fun(dB, bool), beta, 
47.21/47.41	             aa(dB, dB, aa(dB, fun(dB, dB), app, abs(var(zero_zero(nat)))), 
47.21/47.41	               abs(var(zero_zero(nat))))), abs(var(zero_zero(nat)))))
47.21/47.41	     | pp(aa(dB, bool, it, subst(a, u, i)))),
47.21/47.41	    inference('sup-', [status(thm)], ['44', '49'])).
47.21/47.41	tff('51', plain,
47.21/47.41	    ![X0 : dB]:
47.21/47.41	      pp(
47.21/47.41	        aa(dB, bool, 
47.21/47.41	          aa(dB, fun(dB, bool), beta, 
47.21/47.41	            aa(dB, dB, aa(dB, fun(dB, dB), app, abs(var(zero_zero(nat)))), 
47.21/47.41	              X0)), X0)),
47.21/47.41	    inference('sup+', [status(thm)], ['14', '19'])).
47.21/47.41	tff('52', plain, (~ $true | pp(aa(dB, bool, it, subst(a, u, i)))),
47.21/47.41	    inference('demod', [status(thm)], ['50', '51'])).
47.21/47.41	tff('53', plain, pp(aa(dB, bool, it, subst(a, u, i))),
47.21/47.41	    inference('simplify', [status(thm)], ['52'])).
47.21/47.41	tff('54', plain, ~ $true, inference('sup-', [status(thm)], ['53', '31'])).
47.21/47.41	tff('55', plain, $false, inference('simplify', [status(thm)], ['54'])).
47.21/47.41	
47.21/47.41	% SZS output end Refutation
47.21/47.42	EOF
