TSTP Solution File: SYN084-2 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN084-2 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 29 23:53:40 EDT 2022
% Result : Unsatisfiable 0.13s 0.39s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SYN084-2 : TPTP v8.1.0. Released v1.2.0.
% 0.12/0.14 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Sep 5 02:03:59 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 0.13/0.39 % SZS status Unsatisfiable
% 0.13/0.39 % SZS output start Proof
% 0.13/0.39 tff(big_p_type, type, (
% 0.13/0.39 big_p: $i > $o)).
% 0.13/0.39 tff(sk2_type, type, (
% 0.13/0.39 sk2: $i)).
% 0.13/0.39 tff(f_type, type, (
% 0.13/0.39 f: $i > $i)).
% 0.13/0.39 tff(sk1_type, type, (
% 0.13/0.39 sk1: $i)).
% 0.13/0.39 tff(a_type, type, (
% 0.13/0.39 a: $i)).
% 0.13/0.39 tff(1,assumption,(big_p(f(f(sk2)))), introduced(assumption)).
% 0.13/0.39 tff(2,plain,
% 0.13/0.39 (((~big_p(f(f(sk1)))) | (~big_p(f(f(sk2))))) <=> ((~big_p(f(f(sk1)))) | (~big_p(f(f(sk2)))))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(3,axiom,((~big_p(f(f(sk1)))) | (~big_p(f(f(sk2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pel62_4')).
% 0.13/0.39 tff(4,plain,
% 0.13/0.39 ((~big_p(f(f(sk1)))) | (~big_p(f(f(sk2))))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.13/0.39 tff(5,plain,
% 0.13/0.39 (~big_p(f(f(sk1)))),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[4, 1])).
% 0.13/0.39 tff(6,plain,
% 0.13/0.39 (^[A: $i] : refl((big_p(A) | big_p(f(f(A)))) <=> (big_p(A) | big_p(f(f(A)))))),
% 0.13/0.39 inference(bind,[status(th)],[])).
% 0.13/0.39 tff(7,plain,
% 0.13/0.39 (![A: $i] : (big_p(A) | big_p(f(f(A)))) <=> ![A: $i] : (big_p(A) | big_p(f(f(A))))),
% 0.13/0.39 inference(quant_intro,[status(thm)],[6])).
% 0.13/0.39 tff(8,plain,
% 0.13/0.39 (![A: $i] : (big_p(A) | big_p(f(f(A)))) <=> ![A: $i] : (big_p(A) | big_p(f(f(A))))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(9,plain,
% 0.13/0.39 (^[A: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(big_p(a)), (big_p(a) <=> $true)), ((~big_p(a)) <=> (~$true))), rewrite((~$true) <=> $false), ((~big_p(a)) <=> $false)), (((~big_p(a)) | big_p(A) | big_p(f(f(A)))) <=> ($false | big_p(A) | big_p(f(f(A)))))), rewrite(($false | big_p(A) | big_p(f(f(A)))) <=> (big_p(A) | big_p(f(f(A))))), (((~big_p(a)) | big_p(A) | big_p(f(f(A)))) <=> (big_p(A) | big_p(f(f(A))))))),
% 0.13/0.39 inference(bind,[status(th)],[])).
% 0.13/0.39 tff(10,plain,
% 0.13/0.39 (![A: $i] : ((~big_p(a)) | big_p(A) | big_p(f(f(A)))) <=> ![A: $i] : (big_p(A) | big_p(f(f(A))))),
% 0.13/0.39 inference(quant_intro,[status(thm)],[9])).
% 0.13/0.39 tff(11,plain,
% 0.13/0.39 (^[A: $i] : trans(monotonicity(rewrite((big_p(f(f(A))) | big_p(A)) <=> (big_p(A) | big_p(f(f(A))))), (((big_p(f(f(A))) | big_p(A)) | (~big_p(a))) <=> ((big_p(A) | big_p(f(f(A)))) | (~big_p(a))))), rewrite(((big_p(A) | big_p(f(f(A)))) | (~big_p(a))) <=> ((~big_p(a)) | big_p(A) | big_p(f(f(A))))), (((big_p(f(f(A))) | big_p(A)) | (~big_p(a))) <=> ((~big_p(a)) | big_p(A) | big_p(f(f(A))))))),
% 0.13/0.39 inference(bind,[status(th)],[])).
% 0.13/0.39 tff(12,plain,
% 0.13/0.39 (![A: $i] : ((big_p(f(f(A))) | big_p(A)) | (~big_p(a))) <=> ![A: $i] : ((~big_p(a)) | big_p(A) | big_p(f(f(A))))),
% 0.13/0.39 inference(quant_intro,[status(thm)],[11])).
% 0.13/0.39 tff(13,axiom,(![A: $i] : ((big_p(f(f(A))) | big_p(A)) | (~big_p(a)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pel62_2')).
% 0.13/0.39 tff(14,plain,
% 0.13/0.39 (![A: $i] : ((~big_p(a)) | big_p(A) | big_p(f(f(A))))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.13/0.39 tff(15,plain,
% 0.13/0.39 (![A: $i] : (big_p(A) | big_p(f(f(A))))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[14, 10])).
% 0.13/0.39 tff(16,plain,
% 0.13/0.39 (![A: $i] : (big_p(A) | big_p(f(f(A))))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[15, 8])).
% 0.13/0.39 tff(17,plain,(
% 0.13/0.39 ![A: $i] : (big_p(A) | big_p(f(f(A))))),
% 0.13/0.39 inference(skolemize,[status(sab)],[16])).
% 0.13/0.39 tff(18,plain,
% 0.13/0.39 (![A: $i] : (big_p(A) | big_p(f(f(A))))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[17, 7])).
% 0.13/0.39 tff(19,plain,
% 0.13/0.39 (((~![A: $i] : (big_p(A) | big_p(f(f(A))))) | (big_p(sk1) | big_p(f(f(sk1))))) <=> ((~![A: $i] : (big_p(A) | big_p(f(f(A))))) | big_p(sk1) | big_p(f(f(sk1))))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(20,plain,
% 0.13/0.39 ((~![A: $i] : (big_p(A) | big_p(f(f(A))))) | (big_p(sk1) | big_p(f(f(sk1))))),
% 0.13/0.39 inference(quant_inst,[status(thm)],[])).
% 0.13/0.39 tff(21,plain,
% 0.13/0.39 ((~![A: $i] : (big_p(A) | big_p(f(f(A))))) | big_p(sk1) | big_p(f(f(sk1)))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[20, 19])).
% 0.13/0.39 tff(22,plain,
% 0.13/0.39 (big_p(sk1)),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[21, 18, 5])).
% 0.13/0.39 tff(23,plain,
% 0.13/0.39 (^[A: $i] : refl((big_p(f(f(A))) | (~big_p(f(A)))) <=> (big_p(f(f(A))) | (~big_p(f(A)))))),
% 0.13/0.39 inference(bind,[status(th)],[])).
% 0.13/0.39 tff(24,plain,
% 0.13/0.39 (![A: $i] : (big_p(f(f(A))) | (~big_p(f(A)))) <=> ![A: $i] : (big_p(f(f(A))) | (~big_p(f(A))))),
% 0.13/0.39 inference(quant_intro,[status(thm)],[23])).
% 0.13/0.40 tff(25,plain,
% 0.13/0.40 (![A: $i] : (big_p(f(f(A))) | (~big_p(f(A)))) <=> ![A: $i] : (big_p(f(f(A))) | (~big_p(f(A))))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(26,plain,
% 0.13/0.40 (^[A: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(big_p(a)), (big_p(a) <=> $true)), ((~big_p(a)) <=> (~$true))), rewrite((~$true) <=> $false), ((~big_p(a)) <=> $false)), (((~big_p(a)) | big_p(f(f(A))) | (~big_p(f(A)))) <=> ($false | big_p(f(f(A))) | (~big_p(f(A)))))), rewrite(($false | big_p(f(f(A))) | (~big_p(f(A)))) <=> (big_p(f(f(A))) | (~big_p(f(A))))), (((~big_p(a)) | big_p(f(f(A))) | (~big_p(f(A)))) <=> (big_p(f(f(A))) | (~big_p(f(A))))))),
% 0.13/0.40 inference(bind,[status(th)],[])).
% 0.13/0.40 tff(27,plain,
% 0.13/0.40 (![A: $i] : ((~big_p(a)) | big_p(f(f(A))) | (~big_p(f(A)))) <=> ![A: $i] : (big_p(f(f(A))) | (~big_p(f(A))))),
% 0.13/0.40 inference(quant_intro,[status(thm)],[26])).
% 0.13/0.40 tff(28,plain,
% 0.13/0.40 (^[A: $i] : rewrite(((big_p(f(f(A))) | (~big_p(f(A)))) | (~big_p(a))) <=> ((~big_p(a)) | big_p(f(f(A))) | (~big_p(f(A)))))),
% 0.13/0.40 inference(bind,[status(th)],[])).
% 0.13/0.40 tff(29,plain,
% 0.13/0.40 (![A: $i] : ((big_p(f(f(A))) | (~big_p(f(A)))) | (~big_p(a))) <=> ![A: $i] : ((~big_p(a)) | big_p(f(f(A))) | (~big_p(f(A))))),
% 0.13/0.40 inference(quant_intro,[status(thm)],[28])).
% 0.13/0.40 tff(30,axiom,(![A: $i] : ((big_p(f(f(A))) | (~big_p(f(A)))) | (~big_p(a)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pel62_3')).
% 0.13/0.40 tff(31,plain,
% 0.13/0.40 (![A: $i] : ((~big_p(a)) | big_p(f(f(A))) | (~big_p(f(A))))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[30, 29])).
% 0.13/0.40 tff(32,plain,
% 0.13/0.40 (![A: $i] : (big_p(f(f(A))) | (~big_p(f(A))))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[31, 27])).
% 0.13/0.40 tff(33,plain,
% 0.13/0.40 (![A: $i] : (big_p(f(f(A))) | (~big_p(f(A))))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[32, 25])).
% 0.13/0.40 tff(34,plain,(
% 0.13/0.40 ![A: $i] : (big_p(f(f(A))) | (~big_p(f(A))))),
% 0.13/0.40 inference(skolemize,[status(sab)],[33])).
% 0.13/0.40 tff(35,plain,
% 0.13/0.40 (![A: $i] : (big_p(f(f(A))) | (~big_p(f(A))))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[34, 24])).
% 0.13/0.40 tff(36,plain,
% 0.13/0.40 (((~![A: $i] : (big_p(f(f(A))) | (~big_p(f(A))))) | (big_p(f(f(sk1))) | (~big_p(f(sk1))))) <=> ((~![A: $i] : (big_p(f(f(A))) | (~big_p(f(A))))) | big_p(f(f(sk1))) | (~big_p(f(sk1))))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(37,plain,
% 0.13/0.40 ((~![A: $i] : (big_p(f(f(A))) | (~big_p(f(A))))) | (big_p(f(f(sk1))) | (~big_p(f(sk1))))),
% 0.13/0.40 inference(quant_inst,[status(thm)],[])).
% 0.13/0.40 tff(38,plain,
% 0.13/0.40 ((~![A: $i] : (big_p(f(f(A))) | (~big_p(f(A))))) | big_p(f(f(sk1))) | (~big_p(f(sk1)))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[37, 36])).
% 0.13/0.40 tff(39,plain,
% 0.13/0.40 (~big_p(f(sk1))),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[38, 35, 5])).
% 0.13/0.40 tff(40,plain,
% 0.13/0.40 (((~big_p(f(f(sk2)))) | big_p(f(sk1)) | (~big_p(sk1))) <=> ((~big_p(f(f(sk2)))) | big_p(f(sk1)) | (~big_p(sk1)))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(41,plain,
% 0.13/0.40 (((big_p(f(sk1)) | (~big_p(sk1))) | (~big_p(f(f(sk2))))) <=> ((~big_p(f(f(sk2)))) | big_p(f(sk1)) | (~big_p(sk1)))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(42,axiom,((big_p(f(sk1)) | (~big_p(sk1))) | (~big_p(f(f(sk2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pel62_6')).
% 0.13/0.40 tff(43,plain,
% 0.13/0.40 ((~big_p(f(f(sk2)))) | big_p(f(sk1)) | (~big_p(sk1))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[42, 41])).
% 0.13/0.40 tff(44,plain,
% 0.13/0.40 ((~big_p(f(f(sk2)))) | big_p(f(sk1)) | (~big_p(sk1))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[43, 40])).
% 0.13/0.40 tff(45,plain,
% 0.13/0.40 ((~big_p(f(f(sk2)))) | big_p(f(sk1)) | (~big_p(sk1))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[44, 40])).
% 0.13/0.40 tff(46,plain,
% 0.13/0.40 ((~big_p(f(f(sk2)))) | big_p(f(sk1)) | (~big_p(sk1))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[45, 40])).
% 0.13/0.40 tff(47,plain,
% 0.13/0.40 ((~big_p(f(f(sk2)))) | big_p(f(sk1)) | (~big_p(sk1))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[46, 40])).
% 0.13/0.40 tff(48,plain,
% 0.13/0.40 ((~big_p(f(f(sk2)))) | big_p(f(sk1)) | (~big_p(sk1))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[47, 40])).
% 0.13/0.40 tff(49,plain,
% 0.13/0.40 ((~big_p(f(f(sk2)))) | big_p(f(sk1)) | (~big_p(sk1))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[48, 40])).
% 0.13/0.40 tff(50,plain,
% 0.13/0.40 ((~big_p(f(f(sk2)))) | big_p(f(sk1)) | (~big_p(sk1))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[49, 40])).
% 0.13/0.40 tff(51,plain,
% 0.13/0.40 ((~big_p(f(f(sk2)))) | big_p(f(sk1)) | (~big_p(sk1))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[50, 40])).
% 0.13/0.40 tff(52,plain,
% 0.13/0.40 ($false),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[51, 39, 22, 1])).
% 0.13/0.40 tff(53,plain,(~big_p(f(f(sk2)))), inference(lemma,lemma(discharge,[]))).
% 0.13/0.40 tff(54,assumption,(~big_p(sk2)), introduced(assumption)).
% 0.13/0.40 tff(55,assumption,(~big_p(f(f(sk2)))), introduced(assumption)).
% 0.13/0.40 tff(56,plain,
% 0.13/0.40 (((~![A: $i] : (big_p(A) | big_p(f(f(A))))) | (big_p(sk2) | big_p(f(f(sk2))))) <=> ((~![A: $i] : (big_p(A) | big_p(f(f(A))))) | big_p(sk2) | big_p(f(f(sk2))))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(57,plain,
% 0.13/0.40 ((~![A: $i] : (big_p(A) | big_p(f(f(A))))) | (big_p(sk2) | big_p(f(f(sk2))))),
% 0.13/0.40 inference(quant_inst,[status(thm)],[])).
% 0.13/0.40 tff(58,plain,
% 0.13/0.40 ((~![A: $i] : (big_p(A) | big_p(f(f(A))))) | big_p(sk2) | big_p(f(f(sk2)))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[57, 56])).
% 0.13/0.40 tff(59,plain,
% 0.13/0.40 ($false),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[58, 18, 55, 54])).
% 0.13/0.40 tff(60,plain,(big_p(f(f(sk2))) | big_p(sk2)), inference(lemma,lemma(discharge,[]))).
% 0.13/0.40 tff(61,plain,
% 0.13/0.40 (big_p(sk2)),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[60, 53])).
% 0.13/0.40 tff(62,plain,
% 0.13/0.40 (((~![A: $i] : (big_p(f(f(A))) | (~big_p(f(A))))) | (big_p(f(f(sk2))) | (~big_p(f(sk2))))) <=> ((~![A: $i] : (big_p(f(f(A))) | (~big_p(f(A))))) | big_p(f(f(sk2))) | (~big_p(f(sk2))))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(63,plain,
% 0.13/0.40 ((~![A: $i] : (big_p(f(f(A))) | (~big_p(f(A))))) | (big_p(f(f(sk2))) | (~big_p(f(sk2))))),
% 0.13/0.40 inference(quant_inst,[status(thm)],[])).
% 0.13/0.40 tff(64,plain,
% 0.13/0.40 ((~![A: $i] : (big_p(f(f(A))) | (~big_p(f(A))))) | big_p(f(f(sk2))) | (~big_p(f(sk2)))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[63, 62])).
% 0.13/0.40 tff(65,plain,
% 0.13/0.40 (~big_p(f(sk2))),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[64, 35, 53])).
% 0.13/0.40 tff(66,plain,
% 0.13/0.40 (((~big_p(f(f(sk1)))) | big_p(f(sk2)) | (~big_p(sk2))) <=> ((~big_p(f(f(sk1)))) | big_p(f(sk2)) | (~big_p(sk2)))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(67,plain,
% 0.13/0.40 (((big_p(f(sk2)) | (~big_p(sk2))) | (~big_p(f(f(sk1))))) <=> ((~big_p(f(f(sk1)))) | big_p(f(sk2)) | (~big_p(sk2)))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(68,axiom,((big_p(f(sk2)) | (~big_p(sk2))) | (~big_p(f(f(sk1))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pel62_7')).
% 0.13/0.40 tff(69,plain,
% 0.13/0.40 ((~big_p(f(f(sk1)))) | big_p(f(sk2)) | (~big_p(sk2))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[68, 67])).
% 0.13/0.40 tff(70,plain,
% 0.13/0.40 ((~big_p(f(f(sk1)))) | big_p(f(sk2)) | (~big_p(sk2))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[69, 66])).
% 0.13/0.40 tff(71,plain,
% 0.13/0.40 ((~big_p(f(f(sk1)))) | big_p(f(sk2)) | (~big_p(sk2))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[70, 66])).
% 0.13/0.40 tff(72,plain,
% 0.13/0.40 ((~big_p(f(f(sk1)))) | big_p(f(sk2)) | (~big_p(sk2))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[71, 66])).
% 0.13/0.40 tff(73,plain,
% 0.13/0.40 ((~big_p(f(f(sk1)))) | big_p(f(sk2)) | (~big_p(sk2))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[72, 66])).
% 0.13/0.40 tff(74,plain,
% 0.13/0.40 ((~big_p(f(f(sk1)))) | big_p(f(sk2)) | (~big_p(sk2))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[73, 66])).
% 0.13/0.40 tff(75,plain,
% 0.13/0.40 ((~big_p(f(f(sk1)))) | big_p(f(sk2)) | (~big_p(sk2))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[74, 66])).
% 0.13/0.40 tff(76,plain,
% 0.13/0.40 ((~big_p(f(f(sk1)))) | big_p(f(sk2)) | (~big_p(sk2))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[75, 66])).
% 0.13/0.40 tff(77,plain,
% 0.13/0.40 ((~big_p(f(f(sk1)))) | big_p(f(sk2)) | (~big_p(sk2))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[76, 66])).
% 0.13/0.40 tff(78,plain,
% 0.13/0.40 (~big_p(f(f(sk1)))),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[77, 65, 61])).
% 0.13/0.40 tff(79,plain,
% 0.13/0.40 (big_p(sk1)),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[21, 18, 78])).
% 0.13/0.40 tff(80,plain,
% 0.13/0.40 (~big_p(f(sk1))),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[38, 35, 78])).
% 0.13/0.40 tff(81,plain,
% 0.13/0.40 ((big_p(f(sk1)) | big_p(f(sk2)) | (~big_p(sk1)) | (~big_p(sk2))) <=> (big_p(f(sk1)) | big_p(f(sk2)) | (~big_p(sk1)) | (~big_p(sk2)))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(82,plain,
% 0.13/0.40 (((big_p(f(sk1)) | big_p(f(sk2)) | (~big_p(sk1))) | (~big_p(sk2))) <=> (big_p(f(sk1)) | big_p(f(sk2)) | (~big_p(sk1)) | (~big_p(sk2)))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(83,plain,
% 0.13/0.40 (((big_p(f(sk1)) | big_p(f(sk2))) | (~big_p(sk1))) <=> (big_p(f(sk1)) | big_p(f(sk2)) | (~big_p(sk1)))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(84,plain,
% 0.13/0.40 ((((big_p(f(sk1)) | big_p(f(sk2))) | (~big_p(sk1))) | (~big_p(sk2))) <=> ((big_p(f(sk1)) | big_p(f(sk2)) | (~big_p(sk1))) | (~big_p(sk2)))),
% 0.13/0.40 inference(monotonicity,[status(thm)],[83])).
% 0.13/0.40 tff(85,plain,
% 0.13/0.40 ((((big_p(f(sk1)) | big_p(f(sk2))) | (~big_p(sk1))) | (~big_p(sk2))) <=> (big_p(f(sk1)) | big_p(f(sk2)) | (~big_p(sk1)) | (~big_p(sk2)))),
% 0.13/0.40 inference(transitivity,[status(thm)],[84, 82])).
% 0.13/0.40 tff(86,axiom,(((big_p(f(sk1)) | big_p(f(sk2))) | (~big_p(sk1))) | (~big_p(sk2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pel62_5')).
% 0.13/0.40 tff(87,plain,
% 0.13/0.40 (big_p(f(sk1)) | big_p(f(sk2)) | (~big_p(sk1)) | (~big_p(sk2))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[86, 85])).
% 0.13/0.40 tff(88,plain,
% 0.13/0.40 (big_p(f(sk1)) | big_p(f(sk2)) | (~big_p(sk1)) | (~big_p(sk2))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[87, 81])).
% 0.13/0.40 tff(89,plain,
% 0.13/0.40 ($false),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[88, 80, 79, 65, 61])).
% 0.13/0.40 % SZS output end Proof
%------------------------------------------------------------------------------