TSTP Solution File: KRS066+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : KRS066+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n020.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 0.20s 0.38s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KRS066+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Sep 1 09:31:00 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.33 Usage: tptp [options] [-file:]file
% 0.12/0.33 -h, -? prints this message.
% 0.12/0.33 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.33 -m, -model generate model.
% 0.12/0.33 -p, -proof generate proof.
% 0.12/0.33 -c, -core generate unsat core of named formulas.
% 0.12/0.33 -st, -statistics display statistics.
% 0.12/0.33 -t:timeout set timeout (in second).
% 0.12/0.33 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.33 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.33 -<param>:<value> configuration parameter and value.
% 0.12/0.33 -o:<output-file> file to place output in.
% 0.20/0.38 % SZS status Unsatisfiable
% 0.20/0.38 % SZS output start Proof
% 0.20/0.38 tff(cowlNothing_type, type, (
% 0.20/0.38 cowlNothing: $i > $o)).
% 0.20/0.38 tff(elem_0_type, type, (
% 0.20/0.38 elem_0: $i)).
% 0.20/0.38 tff(cowlThing_type, type, (
% 0.20/0.38 cowlThing: $i > $o)).
% 0.20/0.38 tff(1,plain,
% 0.20/0.38 (^[X: $i] : refl((~(cowlNothing(X) | (~cowlThing(X)))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(2,plain,
% 0.20/0.38 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X)))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[1])).
% 0.20/0.38 tff(3,plain,
% 0.20/0.38 (^[X: $i] : rewrite((cowlThing(X) & (~cowlNothing(X))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(4,plain,
% 0.20/0.38 (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[3])).
% 0.20/0.38 tff(5,plain,
% 0.20/0.38 (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(6,axiom,(![X: $i] : (cowlThing(X) & (~cowlNothing(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_0')).
% 0.20/0.38 tff(7,plain,
% 0.20/0.38 (![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[6, 5])).
% 0.20/0.38 tff(8,plain,(
% 0.20/0.38 ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.20/0.38 inference(skolemize,[status(sab)],[7])).
% 0.20/0.38 tff(9,plain,
% 0.20/0.38 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[8, 4])).
% 0.20/0.38 tff(10,plain,
% 0.20/0.38 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[9, 2])).
% 0.20/0.38 tff(11,plain,
% 0.20/0.38 ((~![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))) | (~(cowlNothing(elem!0) | (~cowlThing(elem!0))))),
% 0.20/0.38 inference(quant_inst,[status(thm)],[])).
% 0.20/0.38 tff(12,plain,
% 0.20/0.38 (~(cowlNothing(elem!0) | (~cowlThing(elem!0)))),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[11, 10])).
% 0.20/0.38 tff(13,plain,
% 0.20/0.38 ((cowlNothing(elem!0) | (~cowlThing(elem!0))) | cowlThing(elem!0)),
% 0.20/0.38 inference(tautology,[status(thm)],[])).
% 0.20/0.38 tff(14,plain,
% 0.20/0.38 (cowlThing(elem!0)),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[13, 12])).
% 0.20/0.38 tff(15,plain,
% 0.20/0.38 ((cowlNothing(elem!0) | (~cowlThing(elem!0))) | (~cowlNothing(elem!0))),
% 0.20/0.38 inference(tautology,[status(thm)],[])).
% 0.20/0.38 tff(16,plain,
% 0.20/0.38 (~cowlNothing(elem!0)),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[15, 12])).
% 0.20/0.38 tff(17,plain,
% 0.20/0.38 ((~(cowlThing(elem!0) <=> cowlNothing(elem!0))) | (~cowlThing(elem!0)) | cowlNothing(elem!0)),
% 0.20/0.38 inference(tautology,[status(thm)],[])).
% 0.20/0.38 tff(18,plain,
% 0.20/0.38 (~(cowlThing(elem!0) <=> cowlNothing(elem!0))),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[17, 16, 14])).
% 0.20/0.38 tff(19,plain,
% 0.20/0.38 (^[X: $i] : refl((cowlThing(X) <=> cowlNothing(X)) <=> (cowlThing(X) <=> cowlNothing(X)))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(20,plain,
% 0.20/0.38 (![X: $i] : (cowlThing(X) <=> cowlNothing(X)) <=> ![X: $i] : (cowlThing(X) <=> cowlNothing(X))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[19])).
% 0.20/0.38 tff(21,plain,
% 0.20/0.38 (![X: $i] : (cowlThing(X) <=> cowlNothing(X)) <=> ![X: $i] : (cowlThing(X) <=> cowlNothing(X))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(22,axiom,(![X: $i] : (cowlThing(X) <=> cowlNothing(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_2')).
% 0.20/0.38 tff(23,plain,
% 0.20/0.38 (![X: $i] : (cowlThing(X) <=> cowlNothing(X))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[22, 21])).
% 0.20/0.38 tff(24,plain,(
% 0.20/0.38 ![X: $i] : (cowlThing(X) <=> cowlNothing(X))),
% 0.20/0.38 inference(skolemize,[status(sab)],[23])).
% 0.20/0.38 tff(25,plain,
% 0.20/0.38 (![X: $i] : (cowlThing(X) <=> cowlNothing(X))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[24, 20])).
% 0.20/0.38 tff(26,plain,
% 0.20/0.38 ((~![X: $i] : (cowlThing(X) <=> cowlNothing(X))) | (cowlThing(elem!0) <=> cowlNothing(elem!0))),
% 0.20/0.38 inference(quant_inst,[status(thm)],[])).
% 0.20/0.38 tff(27,plain,
% 0.20/0.38 ($false),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[26, 25, 18])).
% 0.20/0.38 % SZS output end Proof
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