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_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
0.00/0.19	% Computer   : n073.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 07:10:53 CST 2018
40.12/40.36	% done 6304 iterations in 40.160s
40.12/40.36	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
40.12/40.36	% SZS output start Refutation
40.12/40.36	tff(fact_4__096e_0600_058Ts_A_061_062_062_AT_H_062_A_124_124_N_Amap_A_I_Ft_O_Alift_At_A0_J_A_Imap_A_I_Ft_O_At_091u_Pi_093_J_Aas_J_A_058_ATs_096, axiom,
40.12/40.36	  (pp(aa(list(type),bool,
40.12/40.36	         typings(shift(type,e,zero_zero(nat),foldr(type,type,fun1,ts,t)),
40.12/40.36	                 map(dB,dB,combc(dB,nat,dB,lift,zero_zero(nat)),
40.12/40.36	                     map(dB,dB,
40.12/40.36	                         combc(dB,nat,dB,combc(dB,dB,fun(nat,dB),subst,u),i),
40.12/40.36	                         as))),
40.12/40.36	         ts)))).
40.12/40.36	tff('0', plain,
40.12/40.36	    pp(
40.12/40.36	      aa(list(type), bool, 
40.12/40.36	        typings(
40.12/40.36	          shift(type, e, zero_zero(nat), foldr(type, type, fun1, ts, t)), 
40.12/40.36	          map(dB, dB, combc(dB, nat, dB, lift, zero_zero(nat)), 
40.12/40.36	            map(dB, dB, 
40.12/40.36	              combc(dB, nat, dB, combc(dB, dB, fun(nat, dB), subst, u), i), 
40.12/40.36	              as))), ts)),
40.12/40.36	    inference('cnf', [status(esa)],
40.12/40.36	              [fact_4__096e_0600_058Ts_A_061_062_062_AT_H_062_A_124_124_N_Amap_A_I_Ft_O_Alift_At_A0_J_A_Imap_A_I_Ft_O_At_091u_Pi_093_J_Aas_J_A_058_ATs_096])).
40.12/40.36	tff(fact_43_list__app__typeI, axiom,
40.12/40.36	  (![Ts:list(dB),Ta1:type,Tsa:list(type),Ta:dB,Eb:fun(nat,type)]:
40.12/40.36	     (pp(aa(type,bool,aa(dB,fun(type,bool),typing(Eb),Ta),
40.12/40.36	            foldr(type,type,fun1,Tsa,Ta1))) =>
40.12/40.36	      (pp(aa(list(type),bool,typings(Eb,Ts),Tsa)) =>
40.12/40.36	       pp(aa(type,bool,
40.12/40.36	             aa(dB,fun(type,bool),typing(Eb),foldl(dB,dB,app,Ta,Ts)),Ta1)))))).
40.12/40.36	tff('1', plain,
40.12/40.36	    ![X101 : fun(nat, type), X102 : list(dB), X103 : list(type), X104 : dB, 
40.12/40.36	      X105 : type]:
40.12/40.36	      (~ pp(aa(list(type), bool, typings(X101, X102), X103))
40.12/40.36	       | pp(
40.12/40.36	           aa(type, bool, 
40.12/40.36	             aa(dB, fun(type, bool), typing(X101), 
40.12/40.36	               foldl(dB, dB, app, X104, X102)), X105))
40.12/40.36	       | ~ pp(
40.12/40.36	             aa(type, bool, aa(dB, fun(type, bool), typing(X101), X104), 
40.12/40.36	               foldr(type, type, fun1, X103, X105)))),
40.12/40.36	    inference('cnf', [status(esa)], [fact_43_list__app__typeI])).
40.12/40.36	tff(help_COMBC_1_1_U, axiom,
40.12/40.36	  (![A:$tType,C:$tType,B:$tType,R:A,Q:B,P:fun(A,fun(B,C))]:
40.12/40.36	     (aa(A,C,combc(A,B,C,P,Q),R) = aa(B,C,aa(A,fun(B,C),P,R),Q)))).
40.12/40.36	tff('2', plain,
40.12/40.36	    ![X308 : $tType, X309 : $tType, X310 : $tType, 
40.12/40.36	      X311 : fun(X310, fun(X308, X309)), X312 : X310, X313 : X308]:
40.12/40.36	      aa(X310, X309, combc(X310, X308, X309, X311, X313), X312)
40.12/40.36	       = aa(X308, X309, aa(X310, fun(X308, X309), X311, X312), X313),
40.12/40.36	    inference('cnf', [status(esa)], [help_COMBC_1_1_U])).
40.12/40.36	tff('3', plain,
40.12/40.36	    ![X101 : fun(nat, type), X102 : list(dB), X103 : list(type), X104 : dB, 
40.12/40.36	      X105 : type]:
40.12/40.36	      (~ pp(aa(list(type), bool, typings(X101, X102), X103))
40.12/40.36	       | pp(
40.12/40.36	           aa(dB, bool, combc(dB, type, bool, typing(X101), X105), 
40.12/40.36	             foldl(dB, dB, app, X104, X102)))
40.12/40.36	       | ~ pp(
40.12/40.36	             aa(dB, bool, 
40.12/40.36	               combc(dB, type, bool, typing(X101), 
40.12/40.36	                 foldr(type, type, fun1, X103, X105)), X104))),
40.12/40.36	    inference('demod', [status(thm)], ['1', '2', '2'])).
40.12/40.36	tff('4', plain,
40.12/40.36	    ![X0 : dB, X1 : type]:
40.12/40.36	      (~ $true
40.12/40.36	       | ~ pp(
40.12/40.36	             aa(dB, bool, 
40.12/40.36	               combc(dB, type, bool, 
40.12/40.36	                 typing(
40.12/40.36	                   shift(type, e, zero_zero(nat), 
40.12/40.36	                     foldr(type, type, fun1, ts, t))), 
40.12/40.36	                 foldr(type, type, fun1, ts, X1)), X0))
40.12/40.36	       | pp(
40.12/40.36	           aa(dB, bool, 
40.12/40.36	             combc(dB, type, bool, 
40.12/40.36	               typing(
40.12/40.36	                 shift(type, e, zero_zero(nat), 
40.12/40.36	                   foldr(type, type, fun1, ts, t))), X1), 
40.12/40.36	             foldl(dB, dB, app, X0, 
40.12/40.36	               map(dB, dB, combc(dB, nat, dB, lift, zero_zero(nat)), 
40.12/40.36	                 map(dB, dB, 
40.12/40.36	                   combc(dB, nat, dB, combc(dB, dB, fun(nat, dB), subst, u), 
40.12/40.36	                     i), as)))))),
40.12/40.36	    inference('sup-', [status(thm)], ['0', '3'])).
40.12/40.36	tff('5', plain,
40.12/40.36	    ![X0 : dB, X1 : type]:
40.12/40.36	      (pp(
40.12/40.36	         aa(dB, bool, 
40.12/40.36	           combc(dB, type, bool, 
40.12/40.36	             typing(
40.12/40.36	               shift(type, e, zero_zero(nat), foldr(type, type, fun1, ts, t))), 
40.12/40.36	             X1), 
40.12/40.36	           foldl(dB, dB, app, X0, 
40.12/40.36	             map(dB, dB, combc(dB, nat, dB, lift, zero_zero(nat)), 
40.12/40.36	               map(dB, dB, 
40.12/40.36	                 combc(dB, nat, dB, combc(dB, dB, fun(nat, dB), subst, u), i), 
40.12/40.36	                 as)))))
40.12/40.36	       | ~ pp(
40.12/40.36	             aa(dB, bool, 
40.12/40.36	               combc(dB, type, bool, 
40.12/40.36	                 typing(
40.12/40.36	                   shift(type, e, zero_zero(nat), 
40.12/40.36	                     foldr(type, type, fun1, ts, t))), 
40.12/40.36	                 foldr(type, type, fun1, ts, X1)), X0))),
40.12/40.36	    inference('simplify', [status(thm)], ['4'])).
40.12/40.36	tff(conj_0, conjecture,
40.12/40.36	  (pp(aa(type,bool,
40.12/40.36	         aa(dB,fun(type,bool),
40.12/40.36	            typing(shift(type,e,zero_zero(nat),foldr(type,type,fun1,ts,t))),
40.12/40.36	            foldl(dB,dB,app,var(zero_zero(nat)),
40.12/40.36	                  map(dB,dB,combc(dB,nat,dB,lift,zero_zero(nat)),
40.12/40.36	                      map(dB,dB,
40.12/40.36	                          combc(dB,nat,dB,combc(dB,dB,fun(nat,dB),subst,u),i),
40.12/40.36	                          as)))),
40.12/40.36	         t)))).
40.12/40.36	tff(zf_stmt_0, negated_conjecture,
40.12/40.36	  (~
40.12/40.36	    pp(aa(type,bool,
40.12/40.36	          aa(dB,fun(type,bool),
40.12/40.36	             typing(shift(type,e,zero_zero(nat),foldr(type,type,fun1,ts,t))),
40.12/40.36	             foldl(dB,dB,app,var(zero_zero(nat)),
40.12/40.36	                   map(dB,dB,combc(dB,nat,dB,lift,zero_zero(nat)),
40.12/40.36	                       map(dB,dB,
40.12/40.36	                           combc(dB,nat,dB,combc(dB,dB,fun(nat,dB),subst,u),i),
40.12/40.36	                           as)))),
40.12/40.36	          t)))).
40.12/40.36	tff('6', plain,
40.12/40.36	    ~ pp(
40.12/40.36	        aa(type, bool, 
40.12/40.36	          aa(dB, fun(type, bool), 
40.12/40.36	            typing(
40.12/40.36	              shift(type, e, zero_zero(nat), foldr(type, type, fun1, ts, t))), 
40.12/40.36	            foldl(dB, dB, app, var(zero_zero(nat)), 
40.12/40.36	              map(dB, dB, combc(dB, nat, dB, lift, zero_zero(nat)), 
40.12/40.36	                map(dB, dB, 
40.12/40.36	                  combc(dB, nat, dB, combc(dB, dB, fun(nat, dB), subst, u), 
40.12/40.36	                    i), as)))), t)),
40.12/40.36	    inference('cnf', [status(esa)], [zf_stmt_0])).
40.12/40.36	tff('7', plain,
40.12/40.36	    ~ pp(
40.12/40.36	        aa(dB, bool, 
40.12/40.36	          combc(dB, type, bool, 
40.12/40.36	            typing(
40.12/40.36	              shift(type, e, zero_zero(nat), foldr(type, type, fun1, ts, t))), 
40.12/40.36	            t), 
40.12/40.36	          foldl(dB, dB, app, var(zero_zero(nat)), 
40.12/40.36	            map(dB, dB, combc(dB, nat, dB, lift, zero_zero(nat)), 
40.12/40.36	              map(dB, dB, 
40.12/40.36	                combc(dB, nat, dB, combc(dB, dB, fun(nat, dB), subst, u), i), 
40.12/40.36	                as))))),
40.12/40.36	    inference('demod', [status(thm)], ['6', '2'])).
40.12/40.36	tff('8', plain,
40.12/40.36	    (~ $true
40.12/40.36	     | ~ pp(
40.12/40.36	           aa(dB, bool, 
40.12/40.36	             combc(dB, type, bool, 
40.12/40.36	               typing(
40.12/40.36	                 shift(type, e, zero_zero(nat), 
40.12/40.36	                   foldr(type, type, fun1, ts, t))), 
40.12/40.36	               foldr(type, type, fun1, ts, t)), var(zero_zero(nat))))),
40.12/40.36	    inference('sup-', [status(thm)], ['5', '7'])).
40.12/40.36	tff(fact_36_shift__eq, axiom,
40.12/40.36	  (![A:$tType,Ta1:A,Eb:fun(nat,A),J:nat,Ib:nat]:
40.12/40.36	     ((Ib = J) => (aa(nat,A,shift(A,Eb,Ib,Ta1),J) = Ta1)))).
40.12/40.36	tff('9', plain,
40.12/40.36	    ![X74 : $tType, X75 : X74, X76 : fun(nat, X74), X77 : nat, X78 : nat]:
40.12/40.36	      (aa(nat, X74, shift(X74, X76, X77, X75), X78) = X75 | X77 != X78),
40.12/40.36	    inference('cnf', [status(esa)], [fact_36_shift__eq])).
40.12/40.36	tff('10', plain,
40.12/40.36	    ![X74 : $tType, X75 : X74, X76 : fun(nat, X74), X78 : nat]:
40.12/40.36	      aa(nat, X74, shift(X74, X76, X78, X75), X78) = X75,
40.12/40.36	    inference('simplify', [status(thm)], ['9'])).
40.12/40.36	tff(fact_16_typing_OVar, axiom,
40.12/40.36	  (![Ta1:type,X1:nat,Env:fun(nat,type)]:
40.12/40.36	     ((aa(nat,type,Env,X1) = Ta1) =>
40.12/40.36	      pp(aa(type,bool,aa(dB,fun(type,bool),typing(Env),var(X1)),Ta1))))).
40.12/40.36	tff('11', plain,
40.12/40.36	    ![X25 : fun(nat, type), X26 : nat, X27 : type]:
40.12/40.36	      (pp(
40.12/40.36	         aa(type, bool, aa(dB, fun(type, bool), typing(X25), var(X26)), X27))
40.12/40.36	       | aa(nat, type, X25, X26) != X27),
40.12/40.36	    inference('cnf', [status(esa)], [fact_16_typing_OVar])).
40.12/40.36	tff('12', plain,
40.12/40.36	    ![X25 : fun(nat, type), X26 : nat]:
40.12/40.36	      pp(
40.12/40.36	        aa(type, bool, aa(dB, fun(type, bool), typing(X25), var(X26)), 
40.12/40.36	          aa(nat, type, X25, X26))),
40.12/40.36	    inference('simplify', [status(thm)], ['11'])).
40.12/40.36	tff('13', plain,
40.12/40.36	    ![X25 : fun(nat, type), X26 : nat]:
40.12/40.36	      pp(
40.12/40.36	        aa(dB, bool, 
40.12/40.36	          combc(dB, type, bool, typing(X25), aa(nat, type, X25, X26)), 
40.12/40.36	          var(X26))),
40.12/40.36	    inference('demod', [status(thm)], ['12', '2'])).
40.12/40.36	tff(help_fFalse_1_1_T, axiom, (![P:bool]: ((P = fFalse) | (P = fTrue)))).
40.12/40.36	tff('14', plain, ![X328 : bool]: (X328 = fFalse | X328 = fTrue),
40.12/40.36	    inference('cnf', [status(esa)], [help_fFalse_1_1_T])).
40.12/40.36	tff(help_pp_1_1_U, axiom, (~pp(fFalse))).
40.12/40.36	tff('15', plain, ~ pp(fFalse),
40.12/40.36	    inference('cnf', [status(esa)], [help_pp_1_1_U])).
40.12/40.36	tff('16', plain, ![X0 : bool]: (~ pp(X0) | X0 = fTrue),
40.12/40.36	    inference('sup-', [status(thm)], ['14', '15'])).
40.12/40.36	tff('17', plain,
40.12/40.36	    ![X0 : nat, X1 : fun(nat, type)]:
40.12/40.36	      (~ $true
40.12/40.36	       | aa(dB, bool, 
40.12/40.36	           combc(dB, type, bool, typing(X1), aa(nat, type, X1, X0)), 
40.12/40.36	           var(X0))
40.12/40.36	          = fTrue),
40.12/40.36	    inference('sup-', [status(thm)], ['13', '16'])).
40.12/40.36	tff('18', plain,
40.12/40.36	    ![X0 : nat, X1 : fun(nat, type)]:
40.12/40.36	      aa(dB, bool, combc(dB, type, bool, typing(X1), aa(nat, type, X1, X0)), 
40.12/40.36	        var(X0))
40.12/40.36	       = fTrue,
40.12/40.36	    inference('simplify', [status(thm)], ['17'])).
40.12/40.36	tff('19', plain,
40.12/40.36	    ![X0 : type, X1 : nat, X2 : fun(nat, type)]:
40.12/40.36	      aa(dB, bool, 
40.12/40.36	        combc(dB, type, bool, typing(shift(type, X2, X1, X0)), X0), var(X1))
40.12/40.36	       = fTrue,
40.12/40.36	    inference('sup+', [status(thm)], ['10', '18'])).
40.12/40.36	tff(help_pp_2_1_U, axiom, (pp(fTrue))).
40.12/40.36	tff('20', plain, pp(fTrue), inference('cnf', [status(esa)], [help_pp_2_1_U])).
40.12/40.36	tff('21', plain, (~ $true | ~ $true),
40.12/40.36	    inference('demod', [status(thm)], ['8', '19', '20'])).
40.12/40.36	tff('22', plain, $false, inference('simplify', [status(thm)], ['21'])).
40.12/40.36	
40.12/40.36	% SZS output end Refutation
40.12/40.36	EOF
