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_int
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 int \
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
0.00/0.20	% Computer   : n067.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 07:06:09 CST 2018
6.45/6.69	% done 3797 iterations in 6.491s
6.45/6.69	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
6.45/6.69	% SZS output start Refutation
6.45/6.70	tff(help_fTrue_1_1_T, axiom, (![P:bool]: ((P = fFalse) | (P = fTrue)))).
6.45/6.70	tff('0', plain, ![X259 : bool]: (X259 = fFalse | X259 = fTrue),
6.45/6.70	    inference('cnf', [status(esa)], [help_fTrue_1_1_T])).
6.45/6.70	tff(help_pp_2_1_U, axiom, (pp(fTrue))).
6.45/6.70	tff('1', plain, pp(fTrue), inference('cnf', [status(esa)], [help_pp_2_1_U])).
6.45/6.70	tff('2', plain, ![X0 : bool]: (pp(X0) | X0 = fFalse),
6.45/6.70	    inference('sup+', [status(thm)], ['0', '1'])).
6.45/6.70	tff(conj_0, conjecture,
6.45/6.70	  (pp(aa(dB,bool,it,
6.45/6.70	         aa(nat,dB,
6.45/6.70	            aa(dB,fun(nat,dB),lift,
6.45/6.70	               aa(nat,dB,
6.45/6.70	                  aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,b),u),i)),
6.45/6.70	            zero_zero(nat)))))).
6.45/6.70	tff(zf_stmt_0, negated_conjecture,
6.45/6.70	  (~
6.45/6.70	    pp(aa(dB,bool,it,
6.45/6.70	          aa(nat,dB,
6.45/6.70	             aa(dB,fun(nat,dB),lift,
6.45/6.70	                aa(nat,dB,
6.45/6.70	                   aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,b),u),i)),
6.45/6.70	             zero_zero(nat)))))).
6.45/6.70	tff('3', plain,
6.45/6.70	    ~ pp(
6.45/6.70	        aa(dB, bool, it, 
6.45/6.70	          aa(nat, dB, 
6.45/6.70	            aa(dB, fun(nat, dB), lift, 
6.45/6.70	              aa(nat, dB, 
6.45/6.70	                aa(dB, fun(nat, dB), 
6.45/6.70	                  aa(dB, fun(dB, fun(nat, dB)), subst, b), u), i)), 
6.45/6.70	            zero_zero(nat)))),
6.45/6.70	    inference('cnf', [status(esa)], [zf_stmt_0])).
6.45/6.70	tff(help_COMBC_1_1_U, axiom,
6.45/6.70	  (![A:$tType,C:$tType,B:$tType,R:A,Q:B,P:fun(A,fun(B,C))]:
6.45/6.70	     (aa(A,C,combc(A,B,C,P,Q),R) = aa(B,C,aa(A,fun(B,C),P,R),Q)))).
6.45/6.70	tff('4', plain,
6.45/6.70	    ![X241 : $tType, X242 : $tType, X243 : $tType, 
6.45/6.70	      X244 : fun(X243, fun(X241, X242)), X245 : X243, X246 : X241]:
6.45/6.70	      aa(X243, X242, combc(X243, X241, X242, X244, X246), X245)
6.45/6.70	       = aa(X241, X242, aa(X243, fun(X241, X242), X244, X245), X246),
6.45/6.70	    inference('cnf', [status(esa)], [help_COMBC_1_1_U])).
6.45/6.70	tff(fact_37_liftn__0, axiom,
6.45/6.70	  (![K1:nat,T:dB]: (liftn(zero_zero(nat),T,K1) = T))).
6.45/6.70	tff('5', plain,
6.45/6.70	    ![X62 : dB, X63 : nat]: liftn(zero_zero(nat), X62, X63) = X62,
6.45/6.70	    inference('cnf', [status(esa)], [fact_37_liftn__0])).
6.45/6.70	tff(fact_52_liftn__lift, axiom,
6.45/6.70	  (![K1:nat,T:dB,N:nat]:
6.45/6.70	     (liftn(suc(N),T,K1) =
6.45/6.70	      aa(nat,dB,aa(dB,fun(nat,dB),lift,liftn(N,T,K1)),K1)))).
6.45/6.70	tff('6', plain,
6.45/6.70	    ![X101 : nat, X102 : dB, X103 : nat]:
6.45/6.70	      liftn(suc(X101), X102, X103)
6.45/6.70	       = aa(nat, dB, aa(dB, fun(nat, dB), lift, liftn(X101, X102, X103)), 
6.45/6.70	           X103),
6.45/6.70	    inference('cnf', [status(esa)], [fact_52_liftn__lift])).
6.45/6.70	tff('7', plain,
6.45/6.70	    ![X0 : dB, X1 : nat]:
6.45/6.70	      liftn(suc(zero_zero(nat)), X0, X1)
6.45/6.70	       = aa(nat, dB, aa(dB, fun(nat, dB), lift, X0), X1),
6.45/6.70	    inference('sup+', [status(thm)], ['5', '6'])).
6.45/6.70	tff('8', plain,
6.45/6.70	    ![X0 : dB, X1 : nat]:
6.45/6.70	      liftn(suc(zero_zero(nat)), X0, X1)
6.45/6.70	       = aa(dB, dB, combc(dB, nat, dB, lift, X1), X0),
6.45/6.70	    inference('demod', [status(thm)], ['7', '4'])).
6.45/6.70	tff('9', plain,
6.45/6.70	    ~ pp(
6.45/6.70	        aa(dB, bool, it, 
6.45/6.70	          liftn(suc(zero_zero(nat)), 
6.45/6.70	            aa(dB, dB, 
6.45/6.70	              combc(dB, nat, dB, combc(dB, dB, fun(nat, dB), subst, u), i), 
6.45/6.70	              b), zero_zero(nat)))),
6.45/6.70	    inference('demod', [status(thm)], ['3', '4', '4', '4', '8'])).
6.45/6.70	tff('10', plain,
6.45/6.70	    (~ $true
6.45/6.70	     | aa(dB, bool, it, 
6.45/6.70	         liftn(suc(zero_zero(nat)), 
6.45/6.70	           aa(dB, dB, 
6.45/6.70	             combc(dB, nat, dB, combc(dB, dB, fun(nat, dB), subst, u), i), b), 
6.45/6.70	           zero_zero(nat)))
6.45/6.70	        = fFalse),
6.45/6.70	    inference('sup-', [status(thm)], ['2', '9'])).
6.45/6.70	tff('11', plain,
6.45/6.70	    aa(dB, bool, it, 
6.45/6.70	      liftn(suc(zero_zero(nat)), 
6.45/6.70	        aa(dB, dB, 
6.45/6.70	          combc(dB, nat, dB, combc(dB, dB, fun(nat, dB), subst, u), i), b), 
6.45/6.70	        zero_zero(nat)))
6.45/6.70	     = fFalse,
6.45/6.70	    inference('simplify', [status(thm)], ['10'])).
6.45/6.70	tff(fact_5_lift__IT, axiom,
6.45/6.70	  (![I:nat,T:dB]:
6.45/6.70	     (pp(aa(dB,bool,it,T)) =>
6.45/6.70	      pp(aa(dB,bool,it,aa(nat,dB,aa(dB,fun(nat,dB),lift,T),I)))))).
6.45/6.70	tff('12', plain,
6.45/6.70	    ![X0 : dB, X1 : nat]:
6.45/6.70	      (pp(aa(dB, bool, it, aa(nat, dB, aa(dB, fun(nat, dB), lift, X0), X1)))
6.45/6.70	       | ~ pp(aa(dB, bool, it, X0))),
6.45/6.70	    inference('cnf', [status(esa)], [fact_5_lift__IT])).
6.45/6.70	tff('13', plain,
6.45/6.70	    ![X0 : nat, X1 : dB, X2 : nat]:
6.45/6.70	      (pp(aa(dB, bool, it, liftn(suc(X2), X1, X0)))
6.45/6.70	       | ~ pp(aa(dB, bool, it, liftn(X2, X1, X0)))),
6.45/6.70	    inference('sup+', [status(thm)], ['6', '12'])).
6.45/6.70	tff('14', plain,
6.45/6.70	    (pp(fFalse)
6.45/6.70	     | ~ pp(
6.45/6.70	           aa(dB, bool, it, 
6.45/6.70	             liftn(zero_zero(nat), 
6.45/6.70	               aa(dB, dB, 
6.45/6.70	                 combc(dB, nat, dB, combc(dB, dB, fun(nat, dB), subst, u), i), 
6.45/6.70	                 b), zero_zero(nat))))),
6.45/6.70	    inference('sup+', [status(thm)], ['11', '13'])).
6.45/6.70	tff(fact_3__096IT_A_Ib_091u_Pi_093_J_096, axiom,
6.45/6.70	  (pp(aa(dB,bool,it,
6.45/6.70	         aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,b),u),i))))).
6.45/6.70	tff('15', plain,
6.45/6.70	    pp(
6.45/6.70	      aa(dB, bool, it, 
6.45/6.70	        aa(nat, dB, 
6.45/6.70	          aa(dB, fun(nat, dB), aa(dB, fun(dB, fun(nat, dB)), subst, b), u), 
6.45/6.70	          i))),
6.45/6.70	    inference('cnf', [status(esa)], [fact_3__096IT_A_Ib_091u_Pi_093_J_096])).
6.45/6.70	tff('16', plain,
6.45/6.70	    pp(
6.45/6.70	      aa(dB, bool, it, 
6.45/6.70	        aa(dB, dB, 
6.45/6.70	          combc(dB, nat, dB, combc(dB, dB, fun(nat, dB), subst, u), i), b))),
6.45/6.70	    inference('demod', [status(thm)], ['15', '4', '4'])).
6.45/6.70	tff(help_pp_1_1_U, axiom, (~pp(fFalse))).
6.45/6.70	tff('17', plain, ~ pp(fFalse),
6.45/6.70	    inference('cnf', [status(esa)], [help_pp_1_1_U])).
6.45/6.70	tff('18', plain, ![X0 : bool]: (~ pp(X0) | X0 = fTrue),
6.45/6.70	    inference('sup-', [status(thm)], ['0', '17'])).
6.45/6.70	tff('19', plain,
6.45/6.70	    (~ $true
6.45/6.70	     | aa(dB, bool, it, 
6.45/6.70	         aa(dB, dB, 
6.45/6.70	           combc(dB, nat, dB, combc(dB, dB, fun(nat, dB), subst, u), i), b))
6.45/6.70	        = fTrue),
6.45/6.70	    inference('sup-', [status(thm)], ['16', '18'])).
6.45/6.70	tff('20', plain,
6.45/6.70	    aa(dB, bool, it, 
6.45/6.70	      aa(dB, dB, 
6.45/6.70	        combc(dB, nat, dB, combc(dB, dB, fun(nat, dB), subst, u), i), b))
6.45/6.70	     = fTrue,
6.45/6.70	    inference('simplify', [status(thm)], ['19'])).
6.45/6.70	tff('21', plain, (pp(fFalse) | ~ $true),
6.45/6.70	    inference('demod', [status(thm)], ['14', '5', '20', '1'])).
6.45/6.70	tff('22', plain, pp(fFalse), inference('simplify', [status(thm)], ['21'])).
6.45/6.70	tff('23', plain, ~ $true, inference('sup-', [status(thm)], ['22', '17'])).
6.45/6.70	tff('24', plain, $false, inference('simplify', [status(thm)], ['23'])).
6.45/6.70	
6.45/6.70	% SZS output end Refutation
6.45/6.70	EOF
