TSTP Solution File: KRS174+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : KRS174+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n003.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 17:45:04 EDT 2022
% Result : Theorem 0.20s 0.39s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS174+1 : TPTP v8.1.0. Released v3.1.0.
% 0.13/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.34 % Computer : n003.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Sep 1 09:42:09 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.20/0.34 Usage: tptp [options] [-file:]file
% 0.20/0.34 -h, -? prints this message.
% 0.20/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.20/0.34 -m, -model generate model.
% 0.20/0.34 -p, -proof generate proof.
% 0.20/0.34 -c, -core generate unsat core of named formulas.
% 0.20/0.34 -st, -statistics display statistics.
% 0.20/0.34 -t:timeout set timeout (in second).
% 0.20/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.20/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.20/0.34 -<param>:<value> configuration parameter and value.
% 0.20/0.34 -o:<output-file> file to place output in.
% 0.20/0.39 % SZS status Theorem
% 0.20/0.39 % SZS output start Proof
% 0.20/0.39 tff(ia_type, type, (
% 0.20/0.39 ia: $i)).
% 0.20/0.39 tff(tptp_fun_X_0_type, type, (
% 0.20/0.39 tptp_fun_X_0: $i)).
% 0.20/0.39 tff(cA_type, type, (
% 0.20/0.39 cA: $i > $o)).
% 0.20/0.39 tff(ib_type, type, (
% 0.20/0.39 ib: $i)).
% 0.20/0.39 tff(cA_and_B_type, type, (
% 0.20/0.39 cA_and_B: $i > $o)).
% 0.20/0.39 tff(cB_type, type, (
% 0.20/0.39 cB: $i > $o)).
% 0.20/0.39 tff(xsd_integer_type, type, (
% 0.20/0.39 xsd_integer: $i > $o)).
% 0.20/0.39 tff(xsd_string_type, type, (
% 0.20/0.39 xsd_string: $i > $o)).
% 0.20/0.39 tff(cowlNothing_type, type, (
% 0.20/0.39 cowlNothing: $i > $o)).
% 0.20/0.39 tff(cowlThing_type, type, (
% 0.20/0.39 cowlThing: $i > $o)).
% 0.20/0.39 tff(1,assumption,(~(cA(X!0) | cB(X!0))), introduced(assumption)).
% 0.20/0.39 tff(2,plain,
% 0.20/0.39 ((~(cA_and_B(X!0) <=> (cA(X!0) | cB(X!0)))) <=> ((~cA_and_B(X!0)) <=> (cA(X!0) | cB(X!0)))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(3,plain,
% 0.20/0.39 ((~![X: $i] : (cA_and_B(X) <=> (cA(X) | cB(X)))) <=> (~![X: $i] : (cA_and_B(X) <=> (cA(X) | cB(X))))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(4,plain,
% 0.20/0.39 ((~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X))) & ![X: $i] : (cA_and_B(X) <=> (cA(X) | cB(X))))) <=> (~![X: $i] : (cA_and_B(X) <=> (cA(X) | cB(X))))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(5,plain,
% 0.20/0.39 ((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X))) & ![X: $i] : (cA_and_B(X) <=> (cA(X) | cB(X)))) <=> (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X))) & ![X: $i] : (cA_and_B(X) <=> (cA(X) | cB(X))))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(6,plain,
% 0.20/0.39 ((~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X))) & ![X: $i] : (cA_and_B(X) <=> (cA(X) | cB(X))))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X))) & ![X: $i] : (cA_and_B(X) <=> (cA(X) | cB(X)))))),
% 0.20/0.39 inference(monotonicity,[status(thm)],[5])).
% 0.20/0.39 tff(7,plain,
% 0.20/0.39 ((~((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X)))) & ![X: $i] : (cA_and_B(X) <=> (cB(X) | cA(X))))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X))) & ![X: $i] : (cA_and_B(X) <=> (cA(X) | cB(X)))))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(8,axiom,(~((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X)))) & ![X: $i] : (cA_and_B(X) <=> (cB(X) | cA(X))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','the_axiom')).
% 0.20/0.39 tff(9,plain,
% 0.20/0.39 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X))) & ![X: $i] : (cA_and_B(X) <=> (cA(X) | cB(X))))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[8, 7])).
% 0.20/0.39 tff(10,plain,
% 0.20/0.39 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X))) & ![X: $i] : (cA_and_B(X) <=> (cA(X) | cB(X))))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[9, 6])).
% 0.20/0.39 tff(11,plain,
% 0.20/0.39 (~![X: $i] : (cA_and_B(X) <=> (cA(X) | cB(X)))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[10, 4])).
% 0.20/0.39 tff(12,plain,
% 0.20/0.39 (~![X: $i] : (cA_and_B(X) <=> (cA(X) | cB(X)))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[11, 3])).
% 0.20/0.39 tff(13,plain,
% 0.20/0.39 (~![X: $i] : (cA_and_B(X) <=> (cA(X) | cB(X)))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[12, 3])).
% 0.20/0.39 tff(14,plain,
% 0.20/0.39 (~![X: $i] : (cA_and_B(X) <=> (cA(X) | cB(X)))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[13, 3])).
% 0.20/0.39 tff(15,plain,
% 0.20/0.39 (~![X: $i] : (cA_and_B(X) <=> (cA(X) | cB(X)))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[14, 3])).
% 0.20/0.39 tff(16,plain,
% 0.20/0.39 (~![X: $i] : (cA_and_B(X) <=> (cA(X) | cB(X)))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[15, 3])).
% 0.20/0.39 tff(17,plain,(
% 0.20/0.39 ~(cA_and_B(X!0) <=> (cA(X!0) | cB(X!0)))),
% 0.20/0.39 inference(skolemize,[status(sab)],[16])).
% 0.20/0.39 tff(18,plain,
% 0.20/0.39 ((~cA_and_B(X!0)) <=> (cA(X!0) | cB(X!0))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[17, 2])).
% 0.20/0.39 tff(19,plain,
% 0.20/0.39 (cA_and_B(X!0) | (cA(X!0) | cB(X!0)) | (~((~cA_and_B(X!0)) <=> (cA(X!0) | cB(X!0))))),
% 0.20/0.39 inference(tautology,[status(thm)],[])).
% 0.20/0.39 tff(20,plain,
% 0.20/0.39 (cA_and_B(X!0) | (cA(X!0) | cB(X!0))),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[19, 18])).
% 0.20/0.39 tff(21,plain,
% 0.20/0.39 (cA_and_B(X!0)),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[20, 1])).
% 0.20/0.39 tff(22,plain,
% 0.20/0.39 (^[X: $i] : refl((cA_and_B(X) <=> ((X = ia) | (X = ib))) <=> (cA_and_B(X) <=> ((X = ia) | (X = ib))))),
% 0.20/0.39 inference(bind,[status(th)],[])).
% 0.20/0.39 tff(23,plain,
% 0.20/0.39 (![X: $i] : (cA_and_B(X) <=> ((X = ia) | (X = ib))) <=> ![X: $i] : (cA_and_B(X) <=> ((X = ia) | (X = ib)))),
% 0.20/0.39 inference(quant_intro,[status(thm)],[22])).
% 0.20/0.39 tff(24,plain,
% 0.20/0.39 (![X: $i] : (cA_and_B(X) <=> ((X = ia) | (X = ib))) <=> ![X: $i] : (cA_and_B(X) <=> ((X = ia) | (X = ib)))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(25,plain,
% 0.20/0.39 (^[X: $i] : rewrite((cA_and_B(X) <=> ((X = ib) | (X = ia))) <=> (cA_and_B(X) <=> ((X = ia) | (X = ib))))),
% 0.20/0.39 inference(bind,[status(th)],[])).
% 0.20/0.39 tff(26,plain,
% 0.20/0.39 (![X: $i] : (cA_and_B(X) <=> ((X = ib) | (X = ia))) <=> ![X: $i] : (cA_and_B(X) <=> ((X = ia) | (X = ib)))),
% 0.20/0.39 inference(quant_intro,[status(thm)],[25])).
% 0.20/0.39 tff(27,axiom,(![X: $i] : (cA_and_B(X) <=> ((X = ib) | (X = ia)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_3')).
% 0.20/0.39 tff(28,plain,
% 0.20/0.39 (![X: $i] : (cA_and_B(X) <=> ((X = ia) | (X = ib)))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[27, 26])).
% 0.20/0.39 tff(29,plain,
% 0.20/0.39 (![X: $i] : (cA_and_B(X) <=> ((X = ia) | (X = ib)))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[28, 24])).
% 0.20/0.39 tff(30,plain,(
% 0.20/0.39 ![X: $i] : (cA_and_B(X) <=> ((X = ia) | (X = ib)))),
% 0.20/0.39 inference(skolemize,[status(sab)],[29])).
% 0.20/0.39 tff(31,plain,
% 0.20/0.39 (![X: $i] : (cA_and_B(X) <=> ((X = ia) | (X = ib)))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[30, 23])).
% 0.20/0.39 tff(32,plain,
% 0.20/0.39 ((~![X: $i] : (cA_and_B(X) <=> ((X = ia) | (X = ib)))) | (cA_and_B(X!0) <=> ((X!0 = ia) | (X!0 = ib)))),
% 0.20/0.39 inference(quant_inst,[status(thm)],[])).
% 0.20/0.39 tff(33,plain,
% 0.20/0.39 (cA_and_B(X!0) <=> ((X!0 = ia) | (X!0 = ib))),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[32, 31])).
% 0.20/0.39 tff(34,plain,
% 0.20/0.39 ((~(cA_and_B(X!0) <=> ((X!0 = ia) | (X!0 = ib)))) | (~cA_and_B(X!0)) | ((X!0 = ia) | (X!0 = ib))),
% 0.20/0.39 inference(tautology,[status(thm)],[])).
% 0.20/0.39 tff(35,plain,
% 0.20/0.39 ((~cA_and_B(X!0)) | ((X!0 = ia) | (X!0 = ib))),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[34, 33])).
% 0.20/0.39 tff(36,plain,
% 0.20/0.39 ((X!0 = ia) | (X!0 = ib)),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[35, 21])).
% 0.20/0.39 tff(37,plain,
% 0.20/0.39 (^[X: $i] : refl((cB(X) <=> (X = ib)) <=> (cB(X) <=> (X = ib)))),
% 0.20/0.39 inference(bind,[status(th)],[])).
% 0.20/0.39 tff(38,plain,
% 0.20/0.39 (![X: $i] : (cB(X) <=> (X = ib)) <=> ![X: $i] : (cB(X) <=> (X = ib))),
% 0.20/0.39 inference(quant_intro,[status(thm)],[37])).
% 0.20/0.39 tff(39,plain,
% 0.20/0.39 (![X: $i] : (cB(X) <=> (X = ib)) <=> ![X: $i] : (cB(X) <=> (X = ib))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(40,axiom,(![X: $i] : (cB(X) <=> (X = ib))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_4')).
% 0.20/0.39 tff(41,plain,
% 0.20/0.39 (![X: $i] : (cB(X) <=> (X = ib))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[40, 39])).
% 0.20/0.39 tff(42,plain,(
% 0.20/0.39 ![X: $i] : (cB(X) <=> (X = ib))),
% 0.20/0.39 inference(skolemize,[status(sab)],[41])).
% 0.20/0.39 tff(43,plain,
% 0.20/0.39 (![X: $i] : (cB(X) <=> (X = ib))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[42, 38])).
% 0.20/0.39 tff(44,plain,
% 0.20/0.39 ((~![X: $i] : (cB(X) <=> (X = ib))) | (cB(X!0) <=> (X!0 = ib))),
% 0.20/0.39 inference(quant_inst,[status(thm)],[])).
% 0.20/0.39 tff(45,plain,
% 0.20/0.39 (cB(X!0) <=> (X!0 = ib)),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[44, 43])).
% 0.20/0.39 tff(46,plain,
% 0.20/0.39 ((cA(X!0) | cB(X!0)) | (~cB(X!0))),
% 0.20/0.39 inference(tautology,[status(thm)],[])).
% 0.20/0.39 tff(47,plain,
% 0.20/0.39 (~cB(X!0)),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[46, 1])).
% 0.20/0.39 tff(48,plain,
% 0.20/0.39 ((~(cB(X!0) <=> (X!0 = ib))) | cB(X!0) | (~(X!0 = ib))),
% 0.20/0.39 inference(tautology,[status(thm)],[])).
% 0.20/0.39 tff(49,plain,
% 0.20/0.39 ((~(cB(X!0) <=> (X!0 = ib))) | (~(X!0 = ib))),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[48, 47])).
% 0.20/0.39 tff(50,plain,
% 0.20/0.39 (~(X!0 = ib)),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[49, 45])).
% 0.20/0.39 tff(51,plain,
% 0.20/0.39 (^[X: $i] : refl((cA(X) <=> (X = ia)) <=> (cA(X) <=> (X = ia)))),
% 0.20/0.39 inference(bind,[status(th)],[])).
% 0.20/0.39 tff(52,plain,
% 0.20/0.39 (![X: $i] : (cA(X) <=> (X = ia)) <=> ![X: $i] : (cA(X) <=> (X = ia))),
% 0.20/0.39 inference(quant_intro,[status(thm)],[51])).
% 0.20/0.39 tff(53,plain,
% 0.20/0.40 (![X: $i] : (cA(X) <=> (X = ia)) <=> ![X: $i] : (cA(X) <=> (X = ia))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(54,axiom,(![X: $i] : (cA(X) <=> (X = ia))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_2')).
% 0.20/0.40 tff(55,plain,
% 0.20/0.40 (![X: $i] : (cA(X) <=> (X = ia))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[54, 53])).
% 0.20/0.40 tff(56,plain,(
% 0.20/0.40 ![X: $i] : (cA(X) <=> (X = ia))),
% 0.20/0.40 inference(skolemize,[status(sab)],[55])).
% 0.20/0.40 tff(57,plain,
% 0.20/0.40 (![X: $i] : (cA(X) <=> (X = ia))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[56, 52])).
% 0.20/0.40 tff(58,plain,
% 0.20/0.40 ((~![X: $i] : (cA(X) <=> (X = ia))) | (cA(X!0) <=> (X!0 = ia))),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(59,plain,
% 0.20/0.40 (cA(X!0) <=> (X!0 = ia)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[58, 57])).
% 0.20/0.40 tff(60,plain,
% 0.20/0.40 ((cA(X!0) | cB(X!0)) | (~cA(X!0))),
% 0.20/0.40 inference(tautology,[status(thm)],[])).
% 0.20/0.40 tff(61,plain,
% 0.20/0.40 (~cA(X!0)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[60, 1])).
% 0.20/0.40 tff(62,plain,
% 0.20/0.40 ((~(cA(X!0) <=> (X!0 = ia))) | cA(X!0) | (~(X!0 = ia))),
% 0.20/0.40 inference(tautology,[status(thm)],[])).
% 0.20/0.40 tff(63,plain,
% 0.20/0.40 ((~(cA(X!0) <=> (X!0 = ia))) | (~(X!0 = ia))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[62, 61])).
% 0.20/0.40 tff(64,plain,
% 0.20/0.40 (~(X!0 = ia)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[63, 59])).
% 0.20/0.40 tff(65,plain,
% 0.20/0.40 ((~((X!0 = ia) | (X!0 = ib))) | (X!0 = ia) | (X!0 = ib)),
% 0.20/0.40 inference(tautology,[status(thm)],[])).
% 0.20/0.40 tff(66,plain,
% 0.20/0.40 ($false),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[65, 64, 50, 36])).
% 0.20/0.40 tff(67,plain,(cA(X!0) | cB(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.20/0.40 tff(68,plain,
% 0.20/0.40 ((~cA_and_B(X!0)) | (~(cA(X!0) | cB(X!0))) | (~((~cA_and_B(X!0)) <=> (cA(X!0) | cB(X!0))))),
% 0.20/0.40 inference(tautology,[status(thm)],[])).
% 0.20/0.40 tff(69,plain,
% 0.20/0.40 ((~cA_and_B(X!0)) | (~(cA(X!0) | cB(X!0)))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[68, 18])).
% 0.20/0.40 tff(70,plain,
% 0.20/0.40 (~cA_and_B(X!0)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[69, 67])).
% 0.20/0.40 tff(71,plain,
% 0.20/0.40 ((~(cA_and_B(X!0) <=> ((X!0 = ia) | (X!0 = ib)))) | cA_and_B(X!0) | (~((X!0 = ia) | (X!0 = ib)))),
% 0.20/0.40 inference(tautology,[status(thm)],[])).
% 0.20/0.40 tff(72,plain,
% 0.20/0.40 (cA_and_B(X!0) | (~((X!0 = ia) | (X!0 = ib)))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[71, 33])).
% 0.20/0.40 tff(73,plain,
% 0.20/0.40 (~((X!0 = ia) | (X!0 = ib))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[72, 70])).
% 0.20/0.40 tff(74,plain,
% 0.20/0.40 (((X!0 = ia) | (X!0 = ib)) | (~(X!0 = ia))),
% 0.20/0.40 inference(tautology,[status(thm)],[])).
% 0.20/0.40 tff(75,plain,
% 0.20/0.40 (~(X!0 = ia)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[74, 73])).
% 0.20/0.40 tff(76,assumption,(~(cB(X!0) <=> (X!0 = ib))), introduced(assumption)).
% 0.20/0.40 tff(77,plain,
% 0.20/0.40 ($false),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[44, 43, 76])).
% 0.20/0.40 tff(78,plain,(cB(X!0) <=> (X!0 = ib)), inference(lemma,lemma(discharge,[]))).
% 0.20/0.40 tff(79,plain,
% 0.20/0.40 (((X!0 = ia) | (X!0 = ib)) | (~(X!0 = ib))),
% 0.20/0.40 inference(tautology,[status(thm)],[])).
% 0.20/0.40 tff(80,plain,
% 0.20/0.40 (~(X!0 = ib)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[79, 73])).
% 0.20/0.40 tff(81,plain,
% 0.20/0.40 ((~(cB(X!0) <=> (X!0 = ib))) | (~cB(X!0)) | (X!0 = ib)),
% 0.20/0.40 inference(tautology,[status(thm)],[])).
% 0.20/0.40 tff(82,plain,
% 0.20/0.40 ((~(cB(X!0) <=> (X!0 = ib))) | (~cB(X!0))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[81, 80])).
% 0.20/0.40 tff(83,plain,
% 0.20/0.40 (~cB(X!0)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[82, 78])).
% 0.20/0.40 tff(84,plain,
% 0.20/0.40 ((~(cA(X!0) | cB(X!0))) | cA(X!0) | cB(X!0)),
% 0.20/0.40 inference(tautology,[status(thm)],[])).
% 0.20/0.40 tff(85,plain,
% 0.20/0.40 (cA(X!0)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[84, 83, 67])).
% 0.20/0.40 tff(86,plain,
% 0.20/0.40 ((~(cA(X!0) <=> (X!0 = ia))) | (~cA(X!0)) | (X!0 = ia)),
% 0.20/0.40 inference(tautology,[status(thm)],[])).
% 0.20/0.40 tff(87,plain,
% 0.20/0.40 (~(cA(X!0) <=> (X!0 = ia))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[86, 85, 75])).
% 0.20/0.40 tff(88,plain,
% 0.20/0.40 ($false),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[58, 57, 87])).
% 0.20/0.40 % SZS output end Proof
%------------------------------------------------------------------------------