%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN403+1 : TPTP v9.0.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n001.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 05:38:59 AM UTC 2025
% Result : Theorem 0.12s 0.36s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN403+1 : TPTP v9.0.0. Released v2.0.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n001.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 : Fri Jun 20 12:38:05 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.36 % SZS status Theorem
% 0.12/0.36 % SZS output start Proof
% 0.12/0.36 tff(g_type, type, (
% 0.12/0.36 g: $i > $o)).
% 0.12/0.36 tff(tptp_fun_X_0_type, type, (
% 0.12/0.36 tptp_fun_X_0: $i)).
% 0.12/0.36 tff(f_type, type, (
% 0.12/0.36 f: $i > $o)).
% 0.12/0.36 tff(h_type, type, (
% 0.12/0.36 h: $i > $o)).
% 0.12/0.36 tff(1,plain,
% 0.12/0.36 ((~![X: $i] : (h(X) | (~f(X)) | (~((g(X) | (~f(X))) & (h(X) | (~g(X))))))) <=> (~![X: $i] : (h(X) | (~f(X)) | (~((g(X) | (~f(X))) & (h(X) | (~g(X)))))))),
% 0.12/0.36 inference(rewrite,[status(thm)],[])).
% 0.12/0.36 tff(2,plain,
% 0.12/0.36 ((~![X: $i] : (((f(X) => g(X)) & (g(X) => h(X))) => (f(X) => h(X)))) <=> (~![X: $i] : (h(X) | (~f(X)) | (~((g(X) | (~f(X))) & (h(X) | (~g(X)))))))),
% 0.12/0.36 inference(rewrite,[status(thm)],[])).
% 0.12/0.36 tff(3,axiom,(~![X: $i] : (((f(X) => g(X)) & (g(X) => h(X))) => (f(X) => h(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','kalish234')).
% 0.12/0.36 tff(4,plain,
% 0.12/0.36 (~![X: $i] : (h(X) | (~f(X)) | (~((g(X) | (~f(X))) & (h(X) | (~g(X))))))),
% 0.12/0.36 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.12/0.36 tff(5,plain,
% 0.12/0.36 (~![X: $i] : (h(X) | (~f(X)) | (~((g(X) | (~f(X))) & (h(X) | (~g(X))))))),
% 0.12/0.36 inference(modus_ponens,[status(thm)],[4, 1])).
% 0.12/0.36 tff(6,plain,
% 0.12/0.36 (~![X: $i] : (h(X) | (~f(X)) | (~((g(X) | (~f(X))) & (h(X) | (~g(X))))))),
% 0.12/0.36 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.12/0.36 tff(7,plain,
% 0.12/0.36 (~![X: $i] : (h(X) | (~f(X)) | (~((g(X) | (~f(X))) & (h(X) | (~g(X))))))),
% 0.12/0.36 inference(modus_ponens,[status(thm)],[6, 1])).
% 0.12/0.36 tff(8,plain,(
% 0.12/0.36 ~(h(X!0) | (~f(X!0)) | (~((g(X!0) | (~f(X!0))) & (h(X!0) | (~g(X!0))))))),
% 0.12/0.36 inference(skolemize,[status(sab)],[7])).
% 0.12/0.36 tff(9,plain,
% 0.12/0.36 (f(X!0)),
% 0.12/0.36 inference(or_elim,[status(thm)],[8])).
% 0.12/0.36 tff(10,plain,
% 0.12/0.36 ((g(X!0) | (~f(X!0))) & (h(X!0) | (~g(X!0)))),
% 0.12/0.36 inference(or_elim,[status(thm)],[8])).
% 0.12/0.36 tff(11,plain,
% 0.12/0.36 (g(X!0) | (~f(X!0))),
% 0.12/0.36 inference(and_elim,[status(thm)],[10])).
% 0.12/0.36 tff(12,plain,
% 0.12/0.36 (g(X!0)),
% 0.12/0.36 inference(unit_resolution,[status(thm)],[11, 9])).
% 0.12/0.36 tff(13,plain,
% 0.12/0.36 (~h(X!0)),
% 0.12/0.36 inference(or_elim,[status(thm)],[8])).
% 0.12/0.36 tff(14,plain,
% 0.12/0.36 (h(X!0) | (~g(X!0))),
% 0.12/0.36 inference(and_elim,[status(thm)],[10])).
% 0.12/0.36 tff(15,plain,
% 0.12/0.36 ($false),
% 0.12/0.36 inference(unit_resolution,[status(thm)],[14, 13, 12])).
% 0.12/0.36 % SZS output end Proof
% 0.12/0.36 % E exiting
%------------------------------------------------------------------------------