%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : KRS065+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n005.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 0.19s 0.36s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS065+1 : TPTP v9.0.0. Released v3.1.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n005.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu Jun 19 19:10:20 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.19/0.36 % SZS status Unsatisfiable
% 0.19/0.36 % SZS output start Proof
% 0.19/0.36 tff(cowlThing_type, type, (
% 0.19/0.36 cowlThing: $i > $o)).
% 0.19/0.36 tff(tptp_fun_X_0_type, type, (
% 0.19/0.36 tptp_fun_X_0: $i)).
% 0.19/0.36 tff(cowlNothing_type, type, (
% 0.19/0.36 cowlNothing: $i > $o)).
% 0.19/0.36 tff(rop_type, type, (
% 0.19/0.36 rop: ( $i * $i ) > $o)).
% 0.19/0.36 tff(ia_type, type, (
% 0.19/0.36 ia: $i)).
% 0.19/0.36 tff(1,plain,
% 0.19/0.36 (?[X: $i] : (rop(ia, X) & cowlNothing(X)) <=> ?[X: $i] : (rop(ia, X) & cowlNothing(X))),
% 0.19/0.36 inference(rewrite,[status(thm)],[])).
% 0.19/0.36 tff(2,axiom,(?[X: $i] : (rop(ia, X) & cowlNothing(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_2')).
% 0.19/0.36 tff(3,plain,
% 0.19/0.36 (?[X: $i] : (rop(ia, X) & cowlNothing(X))),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.19/0.36 tff(4,plain,(
% 0.19/0.36 rop(ia, X!0) & cowlNothing(X!0)),
% 0.19/0.36 inference(skolemize,[status(sab)],[3])).
% 0.19/0.36 tff(5,plain,
% 0.19/0.36 (cowlNothing(X!0)),
% 0.19/0.36 inference(and_elim,[status(thm)],[4])).
% 0.19/0.36 tff(6,plain,
% 0.19/0.36 ((cowlNothing(X!0) | (~cowlThing(X!0))) | (~cowlNothing(X!0))),
% 0.19/0.36 inference(tautology,[status(thm)],[])).
% 0.19/0.36 tff(7,plain,
% 0.19/0.36 (cowlNothing(X!0) | (~cowlThing(X!0))),
% 0.19/0.36 inference(unit_resolution,[status(thm)],[6, 5])).
% 0.19/0.36 tff(8,plain,
% 0.19/0.36 (^[X: $i] : refl((~(cowlNothing(X) | (~cowlThing(X)))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 0.19/0.36 inference(bind,[status(th)],[])).
% 0.19/0.36 tff(9,plain,
% 0.19/0.36 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X)))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.19/0.36 inference(quant_intro,[status(thm)],[8])).
% 0.19/0.36 tff(10,plain,
% 0.19/0.36 (^[X: $i] : rewrite((cowlThing(X) & (~cowlNothing(X))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 0.19/0.36 inference(bind,[status(th)],[])).
% 0.19/0.36 tff(11,plain,
% 0.19/0.36 (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.19/0.36 inference(quant_intro,[status(thm)],[10])).
% 0.19/0.36 tff(12,plain,
% 0.19/0.36 (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.19/0.36 inference(rewrite,[status(thm)],[])).
% 0.19/0.36 tff(13,axiom,(![X: $i] : (cowlThing(X) & (~cowlNothing(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_0')).
% 0.19/0.36 tff(14,plain,
% 0.19/0.36 (![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.19/0.36 tff(15,plain,(
% 0.19/0.36 ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.19/0.36 inference(skolemize,[status(sab)],[14])).
% 0.19/0.36 tff(16,plain,
% 0.19/0.36 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[15, 11])).
% 0.19/0.36 tff(17,plain,
% 0.19/0.36 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[16, 9])).
% 0.19/0.36 tff(18,plain,
% 0.19/0.36 ((~![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))) | (~(cowlNothing(X!0) | (~cowlThing(X!0))))),
% 0.19/0.36 inference(quant_inst,[status(thm)],[])).
% 0.19/0.36 tff(19,plain,
% 0.19/0.36 ($false),
% 0.19/0.36 inference(unit_resolution,[status(thm)],[18, 17, 7])).
% 0.19/0.36 % SZS output end Proof
% 0.19/0.36 % E exiting
%------------------------------------------------------------------------------