%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN064-1 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n003.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 05:38:07 AM UTC 2025
% Result : Unsatisfiable 0.13s 0.38s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYN064-1 : TPTP v9.0.0. Released v1.0.0.
% 0.08/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jun 20 12:27:24 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.38 % SZS status Unsatisfiable
% 0.13/0.38 % SZS output start Proof
% 0.13/0.38 tff(big_p_type, type, (
% 0.13/0.38 big_p: ( $i * $i ) > $o)).
% 0.13/0.38 tff(g_type, type, (
% 0.13/0.38 g: ( $i * $i ) > $i)).
% 0.13/0.38 tff(elem_0_type, type, (
% 0.13/0.38 elem_0: $i)).
% 0.13/0.38 tff(f_type, type, (
% 0.13/0.38 f: ( $i * $i ) > $i)).
% 0.13/0.38 tff(1,plain,
% 0.13/0.38 (^[Y: $i, X: $i] : refl((~big_p(f(X, Y), g(X, Y))) <=> (~big_p(f(X, Y), g(X, Y))))),
% 0.13/0.38 inference(bind,[status(th)],[])).
% 0.13/0.38 tff(2,plain,
% 0.13/0.38 (![Y: $i, X: $i] : (~big_p(f(X, Y), g(X, Y))) <=> ![Y: $i, X: $i] : (~big_p(f(X, Y), g(X, Y)))),
% 0.13/0.38 inference(quant_intro,[status(thm)],[1])).
% 0.13/0.38 tff(3,plain,
% 0.13/0.38 (![Y: $i, X: $i] : (~big_p(f(X, Y), g(X, Y))) <=> ![Y: $i, X: $i] : (~big_p(f(X, Y), g(X, Y)))),
% 0.13/0.38 inference(rewrite,[status(thm)],[])).
% 0.13/0.38 tff(4,axiom,(![Y: $i, X: $i] : (~big_p(f(X, Y), g(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_2')).
% 0.13/0.38 tff(5,plain,
% 0.13/0.38 (![Y: $i, X: $i] : (~big_p(f(X, Y), g(X, Y)))),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.13/0.38 tff(6,plain,(
% 0.13/0.38 ![Y: $i, X: $i] : (~big_p(f(X, Y), g(X, Y)))),
% 0.13/0.38 inference(skolemize,[status(sab)],[5])).
% 0.13/0.38 tff(7,plain,
% 0.13/0.38 (![Y: $i, X: $i] : (~big_p(f(X, Y), g(X, Y)))),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.13/0.38 tff(8,plain,
% 0.13/0.38 ((~![Y: $i, X: $i] : (~big_p(f(X, Y), g(X, Y)))) | (~big_p(f(elem!0, elem!0), g(elem!0, elem!0)))),
% 0.13/0.38 inference(quant_inst,[status(thm)],[])).
% 0.13/0.38 tff(9,plain,
% 0.13/0.38 (~big_p(f(elem!0, elem!0), g(elem!0, elem!0))),
% 0.13/0.38 inference(unit_resolution,[status(thm)],[8, 7])).
% 0.13/0.38 tff(10,plain,
% 0.13/0.38 (^[Y: $i, X: $i] : refl(big_p(X, Y) <=> big_p(X, Y))),
% 0.13/0.38 inference(bind,[status(th)],[])).
% 0.13/0.38 tff(11,plain,
% 0.13/0.38 (![Y: $i, X: $i] : big_p(X, Y) <=> ![Y: $i, X: $i] : big_p(X, Y)),
% 0.13/0.38 inference(quant_intro,[status(thm)],[10])).
% 0.13/0.38 tff(12,plain,
% 0.13/0.38 (![Y: $i, X: $i] : big_p(X, Y) <=> ![Y: $i, X: $i] : big_p(X, Y)),
% 0.13/0.38 inference(rewrite,[status(thm)],[])).
% 0.13/0.38 tff(13,axiom,(![Y: $i, X: $i] : big_p(X, Y)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_1')).
% 0.13/0.38 tff(14,plain,
% 0.13/0.38 (![Y: $i, X: $i] : big_p(X, Y)),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.13/0.38 tff(15,plain,(
% 0.13/0.38 ![Y: $i, X: $i] : big_p(X, Y)),
% 0.13/0.38 inference(skolemize,[status(sab)],[14])).
% 0.13/0.38 tff(16,plain,
% 0.13/0.38 (![Y: $i, X: $i] : big_p(X, Y)),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[15, 11])).
% 0.13/0.38 tff(17,plain,
% 0.13/0.38 ((~![Y: $i, X: $i] : big_p(X, Y)) | big_p(f(elem!0, elem!0), g(elem!0, elem!0))),
% 0.13/0.38 inference(quant_inst,[status(thm)],[])).
% 0.13/0.38 tff(18,plain,
% 0.13/0.38 ($false),
% 0.13/0.38 inference(unit_resolution,[status(thm)],[17, 16, 9])).
% 0.13/0.38 % SZS output end Proof
% 0.13/0.38 % E exiting
%------------------------------------------------------------------------------