%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN959+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n011.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 05:41:04 AM UTC 2025
% Result : Theorem 0.11s 0.36s
% Output : Proof 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN959+1 : TPTP v9.0.0. Released v3.1.0.
% 0.11/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n011.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 : Fri Jun 20 13:02:12 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.11/0.36 % SZS status Theorem
% 0.11/0.36 % SZS output start Proof
% 0.11/0.36 tff(b_type, type, (
% 0.11/0.36 b: $i > $o)).
% 0.11/0.36 tff(tptp_fun_X_0_type, type, (
% 0.11/0.36 tptp_fun_X_0: $i)).
% 0.11/0.36 tff(a_type, type, (
% 0.11/0.36 a: $i > $o)).
% 0.11/0.36 tff(1,plain,
% 0.11/0.36 (?[X: $i] : b(X) <=> ?[X: $i] : b(X)),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(2,plain,
% 0.11/0.36 ((~(?[X: $i] : b(X) => ?[X: $i] : (a(X) | b(X)))) <=> (~((~?[X: $i] : b(X)) | ?[X: $i] : (a(X) | b(X))))),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(3,axiom,(~(?[X: $i] : b(X) => ?[X: $i] : (a(X) | b(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this')).
% 0.11/0.36 tff(4,plain,
% 0.11/0.36 (~((~?[X: $i] : b(X)) | ?[X: $i] : (a(X) | b(X)))),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.11/0.36 tff(5,plain,
% 0.11/0.36 (?[X: $i] : b(X)),
% 0.11/0.36 inference(or_elim,[status(thm)],[4])).
% 0.11/0.36 tff(6,plain,
% 0.11/0.36 (?[X: $i] : b(X)),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.11/0.36 tff(7,plain,(
% 0.11/0.36 b(X!0)),
% 0.11/0.36 inference(skolemize,[status(sab)],[6])).
% 0.11/0.36 tff(8,plain,
% 0.11/0.36 ((a(X!0) | b(X!0)) | (~b(X!0))),
% 0.11/0.36 inference(tautology,[status(thm)],[])).
% 0.11/0.36 tff(9,plain,
% 0.11/0.36 (a(X!0) | b(X!0)),
% 0.11/0.36 inference(unit_resolution,[status(thm)],[8, 7])).
% 0.11/0.36 tff(10,plain,
% 0.11/0.36 (^[X: $i] : refl((~(a(X) | b(X))) <=> (~(a(X) | b(X))))),
% 0.11/0.36 inference(bind,[status(th)],[])).
% 0.11/0.36 tff(11,plain,
% 0.11/0.36 (![X: $i] : (~(a(X) | b(X))) <=> ![X: $i] : (~(a(X) | b(X)))),
% 0.11/0.36 inference(quant_intro,[status(thm)],[10])).
% 0.11/0.36 tff(12,plain,
% 0.11/0.36 ((~?[X: $i] : (a(X) | b(X))) <=> (~?[X: $i] : (a(X) | b(X)))),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(13,plain,
% 0.11/0.36 (~?[X: $i] : (a(X) | b(X))),
% 0.11/0.36 inference(or_elim,[status(thm)],[4])).
% 0.11/0.36 tff(14,plain,
% 0.11/0.36 (~?[X: $i] : (a(X) | b(X))),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.11/0.36 tff(15,plain,
% 0.11/0.36 (~?[X: $i] : (a(X) | b(X))),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[14, 12])).
% 0.11/0.36 tff(16,plain,
% 0.11/0.36 (~?[X: $i] : (a(X) | b(X))),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[15, 12])).
% 0.11/0.36 tff(17,plain,
% 0.11/0.36 (^[X: $i] : refl($oeq((~(a(X) | b(X))), (~(a(X) | b(X)))))),
% 0.11/0.36 inference(bind,[status(th)],[])).
% 0.11/0.36 tff(18,plain,(
% 0.11/0.36 ![X: $i] : (~(a(X) | b(X)))),
% 0.11/0.36 inference(nnf-neg,[status(sab)],[16, 17])).
% 0.11/0.36 tff(19,plain,
% 0.11/0.36 (![X: $i] : (~(a(X) | b(X)))),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[18, 11])).
% 0.11/0.36 tff(20,plain,
% 0.11/0.36 ((~![X: $i] : (~(a(X) | b(X)))) | (~(a(X!0) | b(X!0)))),
% 0.11/0.36 inference(quant_inst,[status(thm)],[])).
% 0.11/0.36 tff(21,plain,
% 0.11/0.36 ($false),
% 0.11/0.36 inference(unit_resolution,[status(thm)],[20, 19, 9])).
% 0.11/0.36 % SZS output end Proof
% 0.11/0.36 % E exiting
%------------------------------------------------------------------------------