%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : KRS066+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n002.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 Jun 21 05:13:17 AM UTC 2025
% Result : Unsatisfiable 0.11s 0.37s
% Output : Proof 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS066+1 : TPTP v9.0.0. Released v3.1.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n002.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu Jun 19 19:12:16 EDT 2025
% 0.11/0.34 % CPUTime :
% 0.11/0.37 % SZS status Unsatisfiable
% 0.11/0.37 % SZS output start Proof
% 0.11/0.37 tff(cowlNothing_type, type, (
% 0.11/0.37 cowlNothing: $i > $o)).
% 0.11/0.37 tff(elem_0_type, type, (
% 0.11/0.37 elem_0: $i)).
% 0.11/0.37 tff(cowlThing_type, type, (
% 0.11/0.37 cowlThing: $i > $o)).
% 0.11/0.37 tff(1,plain,
% 0.11/0.37 (^[X: $i] : refl((cowlThing(X) <=> cowlNothing(X)) <=> (cowlThing(X) <=> cowlNothing(X)))),
% 0.11/0.37 inference(bind,[status(th)],[])).
% 0.11/0.37 tff(2,plain,
% 0.11/0.37 (![X: $i] : (cowlThing(X) <=> cowlNothing(X)) <=> ![X: $i] : (cowlThing(X) <=> cowlNothing(X))),
% 0.11/0.37 inference(quant_intro,[status(thm)],[1])).
% 0.11/0.37 tff(3,plain,
% 0.11/0.37 (![X: $i] : (cowlThing(X) <=> cowlNothing(X)) <=> ![X: $i] : (cowlThing(X) <=> cowlNothing(X))),
% 0.11/0.37 inference(rewrite,[status(thm)],[])).
% 0.11/0.37 tff(4,axiom,(![X: $i] : (cowlThing(X) <=> cowlNothing(X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_2')).
% 0.11/0.37 tff(5,plain,
% 0.11/0.37 (![X: $i] : (cowlThing(X) <=> cowlNothing(X))),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.11/0.37 tff(6,plain,(
% 0.11/0.37 ![X: $i] : (cowlThing(X) <=> cowlNothing(X))),
% 0.11/0.37 inference(skolemize,[status(sab)],[5])).
% 0.11/0.37 tff(7,plain,
% 0.11/0.37 (![X: $i] : (cowlThing(X) <=> cowlNothing(X))),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.11/0.37 tff(8,plain,
% 0.11/0.37 ((~![X: $i] : (cowlThing(X) <=> cowlNothing(X))) | (cowlThing(elem!0) <=> cowlNothing(elem!0))),
% 0.11/0.37 inference(quant_inst,[status(thm)],[])).
% 0.11/0.37 tff(9,plain,
% 0.11/0.37 (cowlThing(elem!0) <=> cowlNothing(elem!0)),
% 0.11/0.37 inference(unit_resolution,[status(thm)],[8, 7])).
% 0.11/0.37 tff(10,plain,
% 0.11/0.37 (^[X: $i] : refl((~(cowlNothing(X) | (~cowlThing(X)))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 0.11/0.37 inference(bind,[status(th)],[])).
% 0.11/0.37 tff(11,plain,
% 0.11/0.37 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X)))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.11/0.37 inference(quant_intro,[status(thm)],[10])).
% 0.11/0.37 tff(12,plain,
% 0.11/0.37 (^[X: $i] : rewrite((cowlThing(X) & (~cowlNothing(X))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 0.11/0.37 inference(bind,[status(th)],[])).
% 0.11/0.37 tff(13,plain,
% 0.11/0.37 (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.11/0.37 inference(quant_intro,[status(thm)],[12])).
% 0.11/0.37 tff(14,plain,
% 0.11/0.37 (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.11/0.37 inference(rewrite,[status(thm)],[])).
% 0.11/0.37 tff(15,axiom,(![X: $i] : (cowlThing(X) & (~cowlNothing(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_0')).
% 0.11/0.37 tff(16,plain,
% 0.11/0.37 (![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[15, 14])).
% 0.11/0.37 tff(17,plain,(
% 0.11/0.37 ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.11/0.37 inference(skolemize,[status(sab)],[16])).
% 0.11/0.37 tff(18,plain,
% 0.11/0.37 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[17, 13])).
% 0.11/0.37 tff(19,plain,
% 0.11/0.37 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[18, 11])).
% 0.11/0.37 tff(20,plain,
% 0.11/0.37 ((~![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))) | (~(cowlNothing(elem!0) | (~cowlThing(elem!0))))),
% 0.11/0.37 inference(quant_inst,[status(thm)],[])).
% 0.11/0.37 tff(21,plain,
% 0.11/0.37 (~(cowlNothing(elem!0) | (~cowlThing(elem!0)))),
% 0.11/0.37 inference(unit_resolution,[status(thm)],[20, 19])).
% 0.11/0.37 tff(22,plain,
% 0.11/0.37 ((cowlNothing(elem!0) | (~cowlThing(elem!0))) | (~cowlNothing(elem!0))),
% 0.11/0.37 inference(tautology,[status(thm)],[])).
% 0.11/0.37 tff(23,plain,
% 0.11/0.37 (~cowlNothing(elem!0)),
% 0.11/0.37 inference(unit_resolution,[status(thm)],[22, 21])).
% 0.11/0.37 tff(24,plain,
% 0.11/0.37 ((cowlNothing(elem!0) | (~cowlThing(elem!0))) | cowlThing(elem!0)),
% 0.11/0.37 inference(tautology,[status(thm)],[])).
% 0.11/0.37 tff(25,plain,
% 0.11/0.37 (cowlThing(elem!0)),
% 0.11/0.37 inference(unit_resolution,[status(thm)],[24, 21])).
% 0.11/0.37 tff(26,plain,
% 0.11/0.37 ((~(cowlThing(elem!0) <=> cowlNothing(elem!0))) | (~cowlThing(elem!0)) | cowlNothing(elem!0)),
% 0.11/0.37 inference(tautology,[status(thm)],[])).
% 0.11/0.37 tff(27,plain,
% 0.11/0.37 ($false),
% 0.11/0.37 inference(unit_resolution,[status(thm)],[26, 25, 23, 9])).
% 0.11/0.37 % SZS output end Proof
% 0.11/0.37 % E exiting
%------------------------------------------------------------------------------