TSTP Solution File: KRS067+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : KRS067+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n026.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 : Sat Sep 17 17:44:35 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
% 0.11/0.12 % Problem : KRS067+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n026.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Sep 1 09:43:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34 Usage: tptp [options] [-file:]file
% 0.13/0.34 -h, -? prints this message.
% 0.13/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.34 -m, -model generate model.
% 0.13/0.34 -p, -proof generate proof.
% 0.13/0.34 -c, -core generate unsat core of named formulas.
% 0.13/0.34 -st, -statistics display statistics.
% 0.13/0.34 -t:timeout set timeout (in second).
% 0.13/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34 -<param>:<value> configuration parameter and value.
% 0.13/0.34 -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(cb_type, type, (
% 0.13/0.39 cb: $i > $o)).
% 0.13/0.39 tff(i2003_11_14_17_18_1956_type, type, (
% 0.13/0.39 i2003_11_14_17_18_1956: $i)).
% 0.13/0.39 tff(cc_type, type, (
% 0.13/0.39 cc: $i > $o)).
% 0.13/0.39 tff(ca_type, type, (
% 0.13/0.39 ca: $i > $o)).
% 0.13/0.39 tff(cUnsatisfiable_type, type, (
% 0.13/0.39 cUnsatisfiable: $i > $o)).
% 0.13/0.39 tff(1,assumption,(~((~ca(i2003_11_14_17_18_1956)) | (~cb(i2003_11_14_17_18_1956)))), introduced(assumption)).
% 0.13/0.39 tff(2,plain,
% 0.13/0.39 (((~ca(i2003_11_14_17_18_1956)) | (~cb(i2003_11_14_17_18_1956))) | cb(i2003_11_14_17_18_1956)),
% 0.13/0.39 inference(tautology,[status(thm)],[])).
% 0.13/0.39 tff(3,plain,
% 0.13/0.39 (cb(i2003_11_14_17_18_1956)),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[2, 1])).
% 0.13/0.39 tff(4,plain,
% 0.13/0.39 ((cc(i2003_11_14_17_18_1956) | cb(i2003_11_14_17_18_1956)) | (~cb(i2003_11_14_17_18_1956))),
% 0.13/0.39 inference(tautology,[status(thm)],[])).
% 0.13/0.39 tff(5,plain,
% 0.13/0.39 (cc(i2003_11_14_17_18_1956) | cb(i2003_11_14_17_18_1956)),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[4, 3])).
% 0.13/0.39 tff(6,plain,
% 0.13/0.39 (((~ca(i2003_11_14_17_18_1956)) | (~cb(i2003_11_14_17_18_1956))) | ca(i2003_11_14_17_18_1956)),
% 0.13/0.39 inference(tautology,[status(thm)],[])).
% 0.13/0.39 tff(7,plain,
% 0.13/0.39 (ca(i2003_11_14_17_18_1956)),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[6, 1])).
% 0.13/0.39 tff(8,plain,
% 0.13/0.39 (^[X: $i] : refl(((~ca(X)) | (~(cc(X) | cb(X)))) <=> ((~ca(X)) | (~(cc(X) | cb(X)))))),
% 0.13/0.39 inference(bind,[status(th)],[])).
% 0.13/0.39 tff(9,plain,
% 0.13/0.39 (![X: $i] : ((~ca(X)) | (~(cc(X) | cb(X)))) <=> ![X: $i] : ((~ca(X)) | (~(cc(X) | cb(X))))),
% 0.13/0.39 inference(quant_intro,[status(thm)],[8])).
% 0.13/0.39 tff(10,plain,
% 0.13/0.39 (![X: $i] : ((~ca(X)) | (~(cc(X) | cb(X)))) <=> ![X: $i] : ((~ca(X)) | (~(cc(X) | cb(X))))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(11,plain,
% 0.13/0.39 (^[X: $i] : trans(monotonicity(rewrite((~(cc(X) | cb(X))) <=> (~(cc(X) | cb(X)))), ((ca(X) => (~(cc(X) | cb(X)))) <=> (ca(X) => (~(cc(X) | cb(X)))))), rewrite((ca(X) => (~(cc(X) | cb(X)))) <=> ((~ca(X)) | (~(cc(X) | cb(X))))), ((ca(X) => (~(cc(X) | cb(X)))) <=> ((~ca(X)) | (~(cc(X) | cb(X))))))),
% 0.13/0.39 inference(bind,[status(th)],[])).
% 0.13/0.39 tff(12,plain,
% 0.13/0.39 (![X: $i] : (ca(X) => (~(cc(X) | cb(X)))) <=> ![X: $i] : ((~ca(X)) | (~(cc(X) | cb(X))))),
% 0.13/0.39 inference(quant_intro,[status(thm)],[11])).
% 0.13/0.39 tff(13,axiom,(![X: $i] : (ca(X) => (~(cc(X) | cb(X))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_3')).
% 0.13/0.39 tff(14,plain,
% 0.13/0.39 (![X: $i] : ((~ca(X)) | (~(cc(X) | cb(X))))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.13/0.39 tff(15,plain,
% 0.13/0.39 (![X: $i] : ((~ca(X)) | (~(cc(X) | cb(X))))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[14, 10])).
% 0.13/0.39 tff(16,plain,(
% 0.13/0.39 ![X: $i] : ((~ca(X)) | (~(cc(X) | cb(X))))),
% 0.13/0.39 inference(skolemize,[status(sab)],[15])).
% 0.13/0.39 tff(17,plain,
% 0.13/0.39 (![X: $i] : ((~ca(X)) | (~(cc(X) | cb(X))))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[16, 9])).
% 0.13/0.39 tff(18,plain,
% 0.13/0.39 (((~![X: $i] : ((~ca(X)) | (~(cc(X) | cb(X))))) | ((~ca(i2003_11_14_17_18_1956)) | (~(cc(i2003_11_14_17_18_1956) | cb(i2003_11_14_17_18_1956))))) <=> ((~![X: $i] : ((~ca(X)) | (~(cc(X) | cb(X))))) | (~ca(i2003_11_14_17_18_1956)) | (~(cc(i2003_11_14_17_18_1956) | cb(i2003_11_14_17_18_1956))))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(19,plain,
% 0.13/0.39 ((~![X: $i] : ((~ca(X)) | (~(cc(X) | cb(X))))) | ((~ca(i2003_11_14_17_18_1956)) | (~(cc(i2003_11_14_17_18_1956) | cb(i2003_11_14_17_18_1956))))),
% 0.13/0.39 inference(quant_inst,[status(thm)],[])).
% 0.13/0.39 tff(20,plain,
% 0.13/0.39 ((~![X: $i] : ((~ca(X)) | (~(cc(X) | cb(X))))) | (~ca(i2003_11_14_17_18_1956)) | (~(cc(i2003_11_14_17_18_1956) | cb(i2003_11_14_17_18_1956)))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[19, 18])).
% 0.13/0.39 tff(21,plain,
% 0.13/0.39 ($false),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[20, 17, 7, 5])).
% 0.13/0.39 tff(22,plain,((~ca(i2003_11_14_17_18_1956)) | (~cb(i2003_11_14_17_18_1956))), inference(lemma,lemma(discharge,[]))).
% 0.13/0.39 tff(23,assumption,(~((~cc(i2003_11_14_17_18_1956)) | (~ca(i2003_11_14_17_18_1956)))), introduced(assumption)).
% 0.13/0.39 tff(24,plain,
% 0.13/0.39 (((~cc(i2003_11_14_17_18_1956)) | (~ca(i2003_11_14_17_18_1956))) | cc(i2003_11_14_17_18_1956)),
% 0.13/0.39 inference(tautology,[status(thm)],[])).
% 0.13/0.39 tff(25,plain,
% 0.13/0.39 (cc(i2003_11_14_17_18_1956)),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[24, 23])).
% 0.13/0.39 tff(26,plain,
% 0.13/0.39 ((cc(i2003_11_14_17_18_1956) | cb(i2003_11_14_17_18_1956)) | (~cc(i2003_11_14_17_18_1956))),
% 0.13/0.39 inference(tautology,[status(thm)],[])).
% 0.13/0.39 tff(27,plain,
% 0.13/0.39 (cc(i2003_11_14_17_18_1956) | cb(i2003_11_14_17_18_1956)),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[26, 25])).
% 0.13/0.39 tff(28,plain,
% 0.13/0.39 (((~cc(i2003_11_14_17_18_1956)) | (~ca(i2003_11_14_17_18_1956))) | ca(i2003_11_14_17_18_1956)),
% 0.13/0.39 inference(tautology,[status(thm)],[])).
% 0.13/0.39 tff(29,plain,
% 0.13/0.39 (ca(i2003_11_14_17_18_1956)),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[28, 23])).
% 0.13/0.39 tff(30,plain,
% 0.13/0.39 ($false),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[20, 17, 29, 27])).
% 0.13/0.39 tff(31,plain,((~cc(i2003_11_14_17_18_1956)) | (~ca(i2003_11_14_17_18_1956))), inference(lemma,lemma(discharge,[]))).
% 0.13/0.39 tff(32,plain,
% 0.13/0.39 (^[X: $i] : refl((cUnsatisfiable(X) <=> ((~((~cc(X)) | (~ca(X)))) | (~((~ca(X)) | (~cb(X)))) | (~((~cc(X)) | (~cb(X)))))) <=> (cUnsatisfiable(X) <=> ((~((~cc(X)) | (~ca(X)))) | (~((~ca(X)) | (~cb(X)))) | (~((~cc(X)) | (~cb(X)))))))),
% 0.13/0.39 inference(bind,[status(th)],[])).
% 0.13/0.39 tff(33,plain,
% 0.13/0.39 (![X: $i] : (cUnsatisfiable(X) <=> ((~((~cc(X)) | (~ca(X)))) | (~((~ca(X)) | (~cb(X)))) | (~((~cc(X)) | (~cb(X)))))) <=> ![X: $i] : (cUnsatisfiable(X) <=> ((~((~cc(X)) | (~ca(X)))) | (~((~ca(X)) | (~cb(X)))) | (~((~cc(X)) | (~cb(X))))))),
% 0.13/0.39 inference(quant_intro,[status(thm)],[32])).
% 0.13/0.39 tff(34,plain,
% 0.13/0.39 (^[X: $i] : rewrite((cUnsatisfiable(X) <=> ((cc(X) & ca(X)) | (cb(X) & ca(X)) | (cc(X) & cb(X)))) <=> (cUnsatisfiable(X) <=> ((~((~cc(X)) | (~ca(X)))) | (~((~ca(X)) | (~cb(X)))) | (~((~cc(X)) | (~cb(X)))))))),
% 0.13/0.39 inference(bind,[status(th)],[])).
% 0.13/0.39 tff(35,plain,
% 0.13/0.39 (![X: $i] : (cUnsatisfiable(X) <=> ((cc(X) & ca(X)) | (cb(X) & ca(X)) | (cc(X) & cb(X)))) <=> ![X: $i] : (cUnsatisfiable(X) <=> ((~((~cc(X)) | (~ca(X)))) | (~((~ca(X)) | (~cb(X)))) | (~((~cc(X)) | (~cb(X))))))),
% 0.13/0.39 inference(quant_intro,[status(thm)],[34])).
% 0.13/0.39 tff(36,plain,
% 0.13/0.39 (![X: $i] : (cUnsatisfiable(X) <=> ((cc(X) & ca(X)) | (cb(X) & ca(X)) | (cc(X) & cb(X)))) <=> ![X: $i] : (cUnsatisfiable(X) <=> ((cc(X) & ca(X)) | (cb(X) & ca(X)) | (cc(X) & cb(X))))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(37,plain,
% 0.13/0.39 (^[X: $i] : rewrite((cUnsatisfiable(X) <=> (((cc(X) & cb(X)) | (cb(X) & ca(X))) | (cc(X) & ca(X)))) <=> (cUnsatisfiable(X) <=> ((cc(X) & ca(X)) | (cb(X) & ca(X)) | (cc(X) & cb(X)))))),
% 0.13/0.39 inference(bind,[status(th)],[])).
% 0.13/0.39 tff(38,plain,
% 0.13/0.39 (![X: $i] : (cUnsatisfiable(X) <=> (((cc(X) & cb(X)) | (cb(X) & ca(X))) | (cc(X) & ca(X)))) <=> ![X: $i] : (cUnsatisfiable(X) <=> ((cc(X) & ca(X)) | (cb(X) & ca(X)) | (cc(X) & cb(X))))),
% 0.13/0.39 inference(quant_intro,[status(thm)],[37])).
% 0.13/0.39 tff(39,axiom,(![X: $i] : (cUnsatisfiable(X) <=> (((cc(X) & cb(X)) | (cb(X) & ca(X))) | (cc(X) & ca(X))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_2')).
% 0.13/0.39 tff(40,plain,
% 0.13/0.39 (![X: $i] : (cUnsatisfiable(X) <=> ((cc(X) & ca(X)) | (cb(X) & ca(X)) | (cc(X) & cb(X))))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[39, 38])).
% 0.13/0.39 tff(41,plain,
% 0.13/0.39 (![X: $i] : (cUnsatisfiable(X) <=> ((cc(X) & ca(X)) | (cb(X) & ca(X)) | (cc(X) & cb(X))))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[40, 36])).
% 0.13/0.39 tff(42,plain,(
% 0.13/0.39 ![X: $i] : (cUnsatisfiable(X) <=> ((cc(X) & ca(X)) | (cb(X) & ca(X)) | (cc(X) & cb(X))))),
% 0.13/0.39 inference(skolemize,[status(sab)],[41])).
% 0.13/0.39 tff(43,plain,
% 0.13/0.39 (![X: $i] : (cUnsatisfiable(X) <=> ((~((~cc(X)) | (~ca(X)))) | (~((~ca(X)) | (~cb(X)))) | (~((~cc(X)) | (~cb(X))))))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[42, 35])).
% 0.13/0.39 tff(44,plain,
% 0.13/0.39 (![X: $i] : (cUnsatisfiable(X) <=> ((~((~cc(X)) | (~ca(X)))) | (~((~ca(X)) | (~cb(X)))) | (~((~cc(X)) | (~cb(X))))))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[43, 33])).
% 0.13/0.39 tff(45,plain,
% 0.13/0.39 ((~![X: $i] : (cUnsatisfiable(X) <=> ((~((~cc(X)) | (~ca(X)))) | (~((~ca(X)) | (~cb(X)))) | (~((~cc(X)) | (~cb(X))))))) | (cUnsatisfiable(i2003_11_14_17_18_1956) <=> ((~((~cc(i2003_11_14_17_18_1956)) | (~ca(i2003_11_14_17_18_1956)))) | (~((~ca(i2003_11_14_17_18_1956)) | (~cb(i2003_11_14_17_18_1956)))) | (~((~cc(i2003_11_14_17_18_1956)) | (~cb(i2003_11_14_17_18_1956))))))),
% 0.13/0.39 inference(quant_inst,[status(thm)],[])).
% 0.13/0.39 tff(46,plain,
% 0.13/0.39 (cUnsatisfiable(i2003_11_14_17_18_1956) <=> ((~((~cc(i2003_11_14_17_18_1956)) | (~ca(i2003_11_14_17_18_1956)))) | (~((~ca(i2003_11_14_17_18_1956)) | (~cb(i2003_11_14_17_18_1956)))) | (~((~cc(i2003_11_14_17_18_1956)) | (~cb(i2003_11_14_17_18_1956)))))),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[45, 44])).
% 0.13/0.39 tff(47,plain,
% 0.13/0.39 (cUnsatisfiable(i2003_11_14_17_18_1956) <=> cUnsatisfiable(i2003_11_14_17_18_1956)),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(48,axiom,(cUnsatisfiable(i2003_11_14_17_18_1956)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_5')).
% 0.13/0.39 tff(49,plain,
% 0.13/0.39 (cUnsatisfiable(i2003_11_14_17_18_1956)),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[48, 47])).
% 0.13/0.39 tff(50,plain,
% 0.13/0.39 ((~(cUnsatisfiable(i2003_11_14_17_18_1956) <=> ((~((~cc(i2003_11_14_17_18_1956)) | (~ca(i2003_11_14_17_18_1956)))) | (~((~ca(i2003_11_14_17_18_1956)) | (~cb(i2003_11_14_17_18_1956)))) | (~((~cc(i2003_11_14_17_18_1956)) | (~cb(i2003_11_14_17_18_1956))))))) | (~cUnsatisfiable(i2003_11_14_17_18_1956)) | ((~((~cc(i2003_11_14_17_18_1956)) | (~ca(i2003_11_14_17_18_1956)))) | (~((~ca(i2003_11_14_17_18_1956)) | (~cb(i2003_11_14_17_18_1956)))) | (~((~cc(i2003_11_14_17_18_1956)) | (~cb(i2003_11_14_17_18_1956)))))),
% 0.13/0.39 inference(tautology,[status(thm)],[])).
% 0.13/0.39 tff(51,plain,
% 0.13/0.39 ((~(cUnsatisfiable(i2003_11_14_17_18_1956) <=> ((~((~cc(i2003_11_14_17_18_1956)) | (~ca(i2003_11_14_17_18_1956)))) | (~((~ca(i2003_11_14_17_18_1956)) | (~cb(i2003_11_14_17_18_1956)))) | (~((~cc(i2003_11_14_17_18_1956)) | (~cb(i2003_11_14_17_18_1956))))))) | ((~((~cc(i2003_11_14_17_18_1956)) | (~ca(i2003_11_14_17_18_1956)))) | (~((~ca(i2003_11_14_17_18_1956)) | (~cb(i2003_11_14_17_18_1956)))) | (~((~cc(i2003_11_14_17_18_1956)) | (~cb(i2003_11_14_17_18_1956)))))),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[50, 49])).
% 0.13/0.39 tff(52,plain,
% 0.13/0.39 ((~((~cc(i2003_11_14_17_18_1956)) | (~ca(i2003_11_14_17_18_1956)))) | (~((~ca(i2003_11_14_17_18_1956)) | (~cb(i2003_11_14_17_18_1956)))) | (~((~cc(i2003_11_14_17_18_1956)) | (~cb(i2003_11_14_17_18_1956))))),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[51, 46])).
% 0.13/0.39 tff(53,plain,
% 0.13/0.39 ((~((~((~cc(i2003_11_14_17_18_1956)) | (~ca(i2003_11_14_17_18_1956)))) | (~((~ca(i2003_11_14_17_18_1956)) | (~cb(i2003_11_14_17_18_1956)))) | (~((~cc(i2003_11_14_17_18_1956)) | (~cb(i2003_11_14_17_18_1956)))))) | (~((~cc(i2003_11_14_17_18_1956)) | (~ca(i2003_11_14_17_18_1956)))) | (~((~ca(i2003_11_14_17_18_1956)) | (~cb(i2003_11_14_17_18_1956)))) | (~((~cc(i2003_11_14_17_18_1956)) | (~cb(i2003_11_14_17_18_1956))))),
% 0.13/0.39 inference(tautology,[status(thm)],[])).
% 0.13/0.39 tff(54,plain,
% 0.13/0.39 ((~((~cc(i2003_11_14_17_18_1956)) | (~ca(i2003_11_14_17_18_1956)))) | (~((~ca(i2003_11_14_17_18_1956)) | (~cb(i2003_11_14_17_18_1956)))) | (~((~cc(i2003_11_14_17_18_1956)) | (~cb(i2003_11_14_17_18_1956))))),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[53, 52])).
% 0.13/0.39 tff(55,plain,
% 0.13/0.39 (~((~cc(i2003_11_14_17_18_1956)) | (~cb(i2003_11_14_17_18_1956)))),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[54, 31, 22])).
% 0.13/0.39 tff(56,plain,
% 0.13/0.39 (((~cc(i2003_11_14_17_18_1956)) | (~cb(i2003_11_14_17_18_1956))) | cb(i2003_11_14_17_18_1956)),
% 0.13/0.39 inference(tautology,[status(thm)],[])).
% 0.13/0.39 tff(57,plain,
% 0.13/0.39 (cb(i2003_11_14_17_18_1956)),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[56, 55])).
% 0.13/0.39 tff(58,plain,
% 0.13/0.39 (((~cc(i2003_11_14_17_18_1956)) | (~cb(i2003_11_14_17_18_1956))) | cc(i2003_11_14_17_18_1956)),
% 0.13/0.39 inference(tautology,[status(thm)],[])).
% 0.13/0.39 tff(59,plain,
% 0.13/0.39 (cc(i2003_11_14_17_18_1956)),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[58, 55])).
% 0.13/0.39 tff(60,plain,
% 0.13/0.39 (^[X: $i] : refl(((~cb(X)) | (~cc(X))) <=> ((~cb(X)) | (~cc(X))))),
% 0.13/0.39 inference(bind,[status(th)],[])).
% 0.13/0.39 tff(61,plain,
% 0.13/0.39 (![X: $i] : ((~cb(X)) | (~cc(X))) <=> ![X: $i] : ((~cb(X)) | (~cc(X)))),
% 0.13/0.39 inference(quant_intro,[status(thm)],[60])).
% 0.13/0.39 tff(62,plain,
% 0.13/0.39 (![X: $i] : ((~cb(X)) | (~cc(X))) <=> ![X: $i] : ((~cb(X)) | (~cc(X)))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(63,plain,
% 0.13/0.39 (^[X: $i] : rewrite((cb(X) => (~cc(X))) <=> ((~cb(X)) | (~cc(X))))),
% 0.13/0.39 inference(bind,[status(th)],[])).
% 0.13/0.39 tff(64,plain,
% 0.13/0.39 (![X: $i] : (cb(X) => (~cc(X))) <=> ![X: $i] : ((~cb(X)) | (~cc(X)))),
% 0.13/0.39 inference(quant_intro,[status(thm)],[63])).
% 0.13/0.39 tff(65,axiom,(![X: $i] : (cb(X) => (~cc(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_4')).
% 0.13/0.39 tff(66,plain,
% 0.13/0.39 (![X: $i] : ((~cb(X)) | (~cc(X)))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[65, 64])).
% 0.13/0.39 tff(67,plain,
% 0.13/0.39 (![X: $i] : ((~cb(X)) | (~cc(X)))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[66, 62])).
% 0.13/0.39 tff(68,plain,(
% 0.13/0.39 ![X: $i] : ((~cb(X)) | (~cc(X)))),
% 0.13/0.39 inference(skolemize,[status(sab)],[67])).
% 0.13/0.39 tff(69,plain,
% 0.13/0.39 (![X: $i] : ((~cb(X)) | (~cc(X)))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[68, 61])).
% 0.13/0.39 tff(70,plain,
% 0.13/0.39 (((~![X: $i] : ((~cb(X)) | (~cc(X)))) | ((~cb(i2003_11_14_17_18_1956)) | (~cc(i2003_11_14_17_18_1956)))) <=> ((~![X: $i] : ((~cb(X)) | (~cc(X)))) | (~cb(i2003_11_14_17_18_1956)) | (~cc(i2003_11_14_17_18_1956)))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(71,plain,
% 0.13/0.39 ((~![X: $i] : ((~cb(X)) | (~cc(X)))) | ((~cb(i2003_11_14_17_18_1956)) | (~cc(i2003_11_14_17_18_1956)))),
% 0.13/0.39 inference(quant_inst,[status(thm)],[])).
% 0.13/0.39 tff(72,plain,
% 0.13/0.39 ((~![X: $i] : ((~cb(X)) | (~cc(X)))) | (~cb(i2003_11_14_17_18_1956)) | (~cc(i2003_11_14_17_18_1956))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[71, 70])).
% 0.13/0.39 tff(73,plain,
% 0.13/0.39 ($false),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[72, 69, 59, 57])).
% 0.13/0.39 % SZS output end Proof
%------------------------------------------------------------------------------