TSTP Solution File: KRS166+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : KRS166+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n027.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 17:45:03 EDT 2022
% Result : Theorem 0.13s 0.40s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KRS166+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.14 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % 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 : Thu Sep 1 09:55:18 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.
% 0.13/0.40 % SZS status Theorem
% 0.13/0.40 % SZS output start Proof
% 0.13/0.40 tff(cCar_type, type, (
% 0.13/0.40 cCar: $i > $o)).
% 0.13/0.40 tff(tptp_fun_X_0_type, type, (
% 0.13/0.40 tptp_fun_X_0: $i)).
% 0.13/0.40 tff(cAutomobile_type, type, (
% 0.13/0.40 cAutomobile: $i > $o)).
% 0.13/0.40 tff(xsd_integer_type, type, (
% 0.13/0.40 xsd_integer: $i > $o)).
% 0.13/0.40 tff(xsd_string_type, type, (
% 0.13/0.40 xsd_string: $i > $o)).
% 0.13/0.40 tff(cowlNothing_type, type, (
% 0.13/0.40 cowlNothing: $i > $o)).
% 0.13/0.40 tff(cowlThing_type, type, (
% 0.13/0.40 cowlThing: $i > $o)).
% 0.13/0.40 tff(1,assumption,(~cCar(X!0)), introduced(assumption)).
% 0.13/0.40 tff(2,plain,
% 0.13/0.40 ((~(cCar(X!0) <=> cAutomobile(X!0))) <=> ((~cCar(X!0)) <=> cAutomobile(X!0))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(3,plain,
% 0.13/0.40 ((~![X: $i] : (cCar(X) <=> cAutomobile(X))) <=> (~![X: $i] : (cCar(X) <=> cAutomobile(X)))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(4,plain,
% 0.13/0.40 ((~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X))) & ![X: $i] : (cCar(X) <=> cAutomobile(X)))) <=> (~![X: $i] : (cCar(X) <=> cAutomobile(X)))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(5,plain,
% 0.13/0.40 ((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X))) & ![X: $i] : (cCar(X) <=> cAutomobile(X))) <=> (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X))) & ![X: $i] : (cCar(X) <=> cAutomobile(X)))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(6,plain,
% 0.13/0.40 ((~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X))) & ![X: $i] : (cCar(X) <=> cAutomobile(X)))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X))) & ![X: $i] : (cCar(X) <=> cAutomobile(X))))),
% 0.13/0.40 inference(monotonicity,[status(thm)],[5])).
% 0.13/0.40 tff(7,plain,
% 0.13/0.40 ((~((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X)))) & ![X: $i] : (cCar(X) <=> cAutomobile(X)))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X))) & ![X: $i] : (cCar(X) <=> cAutomobile(X))))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(8,axiom,(~((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X)))) & ![X: $i] : (cCar(X) <=> cAutomobile(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','the_axiom')).
% 0.13/0.40 tff(9,plain,
% 0.13/0.40 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X))) & ![X: $i] : (cCar(X) <=> cAutomobile(X)))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[8, 7])).
% 0.13/0.40 tff(10,plain,
% 0.13/0.40 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X))) & ![X: $i] : (cCar(X) <=> cAutomobile(X)))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[9, 6])).
% 0.13/0.40 tff(11,plain,
% 0.13/0.40 (~![X: $i] : (cCar(X) <=> cAutomobile(X))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[10, 4])).
% 0.13/0.40 tff(12,plain,
% 0.13/0.40 (~![X: $i] : (cCar(X) <=> cAutomobile(X))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[11, 3])).
% 0.13/0.40 tff(13,plain,
% 0.13/0.40 (~![X: $i] : (cCar(X) <=> cAutomobile(X))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[12, 3])).
% 0.13/0.40 tff(14,plain,
% 0.13/0.40 (~![X: $i] : (cCar(X) <=> cAutomobile(X))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[13, 3])).
% 0.13/0.40 tff(15,plain,
% 0.13/0.40 (~![X: $i] : (cCar(X) <=> cAutomobile(X))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[14, 3])).
% 0.13/0.40 tff(16,plain,
% 0.13/0.40 (~![X: $i] : (cCar(X) <=> cAutomobile(X))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[15, 3])).
% 0.13/0.40 tff(17,plain,(
% 0.13/0.40 ~(cCar(X!0) <=> cAutomobile(X!0))),
% 0.13/0.40 inference(skolemize,[status(sab)],[16])).
% 0.13/0.40 tff(18,plain,
% 0.13/0.40 ((~cCar(X!0)) <=> cAutomobile(X!0)),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[17, 2])).
% 0.13/0.40 tff(19,plain,
% 0.13/0.40 (cCar(X!0) | cAutomobile(X!0) | (~((~cCar(X!0)) <=> cAutomobile(X!0)))),
% 0.13/0.40 inference(tautology,[status(thm)],[])).
% 0.13/0.40 tff(20,plain,
% 0.13/0.40 (cCar(X!0) | cAutomobile(X!0)),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[19, 18])).
% 0.13/0.40 tff(21,plain,
% 0.13/0.40 (cAutomobile(X!0)),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[20, 1])).
% 0.13/0.40 tff(22,plain,
% 0.13/0.40 (^[X: $i] : refl((cCar(X) | (~cAutomobile(X))) <=> (cCar(X) | (~cAutomobile(X))))),
% 0.13/0.40 inference(bind,[status(th)],[])).
% 0.13/0.40 tff(23,plain,
% 0.13/0.40 (![X: $i] : (cCar(X) | (~cAutomobile(X))) <=> ![X: $i] : (cCar(X) | (~cAutomobile(X)))),
% 0.13/0.40 inference(quant_intro,[status(thm)],[22])).
% 0.13/0.40 tff(24,plain,
% 0.13/0.40 (![X: $i] : (cCar(X) | (~cAutomobile(X))) <=> ![X: $i] : (cCar(X) | (~cAutomobile(X)))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(25,plain,
% 0.13/0.40 (^[X: $i] : rewrite((cAutomobile(X) => cCar(X)) <=> (cCar(X) | (~cAutomobile(X))))),
% 0.13/0.40 inference(bind,[status(th)],[])).
% 0.13/0.40 tff(26,plain,
% 0.13/0.40 (![X: $i] : (cAutomobile(X) => cCar(X)) <=> ![X: $i] : (cCar(X) | (~cAutomobile(X)))),
% 0.13/0.40 inference(quant_intro,[status(thm)],[25])).
% 0.13/0.40 tff(27,axiom,(![X: $i] : (cAutomobile(X) => cCar(X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_2')).
% 0.13/0.40 tff(28,plain,
% 0.13/0.40 (![X: $i] : (cCar(X) | (~cAutomobile(X)))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[27, 26])).
% 0.13/0.40 tff(29,plain,
% 0.13/0.40 (![X: $i] : (cCar(X) | (~cAutomobile(X)))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[28, 24])).
% 0.13/0.40 tff(30,plain,(
% 0.13/0.40 ![X: $i] : (cCar(X) | (~cAutomobile(X)))),
% 0.13/0.40 inference(skolemize,[status(sab)],[29])).
% 0.13/0.40 tff(31,plain,
% 0.13/0.40 (![X: $i] : (cCar(X) | (~cAutomobile(X)))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[30, 23])).
% 0.13/0.40 tff(32,plain,
% 0.13/0.40 (((~![X: $i] : (cCar(X) | (~cAutomobile(X)))) | (cCar(X!0) | (~cAutomobile(X!0)))) <=> ((~![X: $i] : (cCar(X) | (~cAutomobile(X)))) | cCar(X!0) | (~cAutomobile(X!0)))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(33,plain,
% 0.13/0.40 ((~![X: $i] : (cCar(X) | (~cAutomobile(X)))) | (cCar(X!0) | (~cAutomobile(X!0)))),
% 0.13/0.40 inference(quant_inst,[status(thm)],[])).
% 0.13/0.40 tff(34,plain,
% 0.13/0.40 ((~![X: $i] : (cCar(X) | (~cAutomobile(X)))) | cCar(X!0) | (~cAutomobile(X!0))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[33, 32])).
% 0.13/0.40 tff(35,plain,
% 0.13/0.40 (cCar(X!0) | (~cAutomobile(X!0))),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[34, 31])).
% 0.13/0.40 tff(36,plain,
% 0.13/0.40 ($false),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[35, 21, 1])).
% 0.13/0.40 tff(37,plain,(cCar(X!0)), inference(lemma,lemma(discharge,[]))).
% 0.13/0.40 tff(38,plain,
% 0.13/0.40 ((~cCar(X!0)) | (~cAutomobile(X!0)) | (~((~cCar(X!0)) <=> cAutomobile(X!0)))),
% 0.13/0.40 inference(tautology,[status(thm)],[])).
% 0.13/0.40 tff(39,plain,
% 0.13/0.40 ((~cCar(X!0)) | (~cAutomobile(X!0))),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[38, 18])).
% 0.13/0.40 tff(40,plain,
% 0.13/0.40 (~cAutomobile(X!0)),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[39, 37])).
% 0.13/0.40 tff(41,plain,
% 0.13/0.40 (^[X: $i] : refl((cAutomobile(X) | (~cCar(X))) <=> (cAutomobile(X) | (~cCar(X))))),
% 0.13/0.40 inference(bind,[status(th)],[])).
% 0.13/0.40 tff(42,plain,
% 0.13/0.40 (![X: $i] : (cAutomobile(X) | (~cCar(X))) <=> ![X: $i] : (cAutomobile(X) | (~cCar(X)))),
% 0.13/0.40 inference(quant_intro,[status(thm)],[41])).
% 0.13/0.40 tff(43,plain,
% 0.13/0.40 (![X: $i] : (cAutomobile(X) | (~cCar(X))) <=> ![X: $i] : (cAutomobile(X) | (~cCar(X)))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(44,plain,
% 0.13/0.40 (^[X: $i] : rewrite((cCar(X) => cAutomobile(X)) <=> (cAutomobile(X) | (~cCar(X))))),
% 0.13/0.40 inference(bind,[status(th)],[])).
% 0.13/0.40 tff(45,plain,
% 0.13/0.40 (![X: $i] : (cCar(X) => cAutomobile(X)) <=> ![X: $i] : (cAutomobile(X) | (~cCar(X)))),
% 0.13/0.40 inference(quant_intro,[status(thm)],[44])).
% 0.13/0.40 tff(46,axiom,(![X: $i] : (cCar(X) => cAutomobile(X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_3')).
% 0.13/0.40 tff(47,plain,
% 0.13/0.40 (![X: $i] : (cAutomobile(X) | (~cCar(X)))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[46, 45])).
% 0.13/0.40 tff(48,plain,
% 0.13/0.40 (![X: $i] : (cAutomobile(X) | (~cCar(X)))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[47, 43])).
% 0.13/0.40 tff(49,plain,(
% 0.13/0.40 ![X: $i] : (cAutomobile(X) | (~cCar(X)))),
% 0.13/0.40 inference(skolemize,[status(sab)],[48])).
% 0.13/0.40 tff(50,plain,
% 0.13/0.40 (![X: $i] : (cAutomobile(X) | (~cCar(X)))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[49, 42])).
% 0.13/0.40 tff(51,plain,
% 0.13/0.40 (((~![X: $i] : (cAutomobile(X) | (~cCar(X)))) | (cAutomobile(X!0) | (~cCar(X!0)))) <=> ((~![X: $i] : (cAutomobile(X) | (~cCar(X)))) | cAutomobile(X!0) | (~cCar(X!0)))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(52,plain,
% 0.13/0.40 ((~![X: $i] : (cAutomobile(X) | (~cCar(X)))) | (cAutomobile(X!0) | (~cCar(X!0)))),
% 0.13/0.40 inference(quant_inst,[status(thm)],[])).
% 0.13/0.40 tff(53,plain,
% 0.13/0.40 ((~![X: $i] : (cAutomobile(X) | (~cCar(X)))) | cAutomobile(X!0) | (~cCar(X!0))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[52, 51])).
% 0.13/0.40 tff(54,plain,
% 0.13/0.40 (cAutomobile(X!0) | (~cCar(X!0))),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[53, 50])).
% 0.13/0.40 tff(55,plain,
% 0.13/0.40 ($false),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[54, 40, 37])).
% 0.13/0.40 % SZS output end Proof
%------------------------------------------------------------------------------