%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN368+1 : TPTP v9.0.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n015.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 05:38:54 AM UTC 2025
% Result : Theorem 0.20s 0.38s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN368+1 : TPTP v9.0.0. Released v2.0.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jun 20 12:32:26 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.20/0.38 % SZS status Theorem
% 0.20/0.38 % SZS output start Proof
% 0.20/0.38 tff(big_p_type, type, (
% 0.20/0.38 big_p: $i > $o)).
% 0.20/0.38 tff(tptp_fun_X_0_type, type, (
% 0.20/0.38 tptp_fun_X_0: $i > $i)).
% 0.20/0.38 tff(elem_1_type, type, (
% 0.20/0.38 elem_1: $i)).
% 0.20/0.38 tff(1,plain,
% 0.20/0.38 (^[Y: $i] : refl((~(big_p(tptp_fun_X_0(Y)) | (~big_p(Y)))) <=> (~(big_p(tptp_fun_X_0(Y)) | (~big_p(Y)))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(2,plain,
% 0.20/0.38 (![Y: $i] : (~(big_p(tptp_fun_X_0(Y)) | (~big_p(Y)))) <=> ![Y: $i] : (~(big_p(tptp_fun_X_0(Y)) | (~big_p(Y))))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[1])).
% 0.20/0.38 tff(3,plain,
% 0.20/0.38 ((~?[Y: $i] : ![X: $i] : (big_p(X) | (~big_p(Y)))) <=> (~?[Y: $i] : ![X: $i] : (big_p(X) | (~big_p(Y))))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(4,plain,
% 0.20/0.38 ((~?[Y: $i] : ![X: $i] : (big_p(Y) => big_p(X))) <=> (~?[Y: $i] : ![X: $i] : (big_p(X) | (~big_p(Y))))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(5,axiom,(~?[Y: $i] : ![X: $i] : (big_p(Y) => big_p(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','x2119')).
% 0.20/0.38 tff(6,plain,
% 0.20/0.38 (~?[Y: $i] : ![X: $i] : (big_p(X) | (~big_p(Y)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[5, 4])).
% 0.20/0.38 tff(7,plain,
% 0.20/0.38 (~?[Y: $i] : ![X: $i] : (big_p(X) | (~big_p(Y)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[6, 3])).
% 0.20/0.38 tff(8,plain,
% 0.20/0.38 (~?[Y: $i] : ![X: $i] : (big_p(X) | (~big_p(Y)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[7, 3])).
% 0.20/0.38 tff(9,plain,
% 0.20/0.38 (~?[Y: $i] : ![X: $i] : (big_p(X) | (~big_p(Y)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[8, 3])).
% 0.20/0.38 tff(10,plain,
% 0.20/0.38 (^[Y: $i] : sk($oeq((~![X: $i] : (big_p(X) | (~big_p(Y)))), (~(big_p(tptp_fun_X_0(Y)) | (~big_p(Y))))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(11,plain,(
% 0.20/0.38 ![Y: $i] : (~(big_p(tptp_fun_X_0(Y)) | (~big_p(Y))))),
% 0.20/0.38 inference(nnf-neg,[status(sab)],[9, 10])).
% 0.20/0.38 tff(12,plain,
% 0.20/0.38 (![Y: $i] : (~(big_p(tptp_fun_X_0(Y)) | (~big_p(Y))))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[11, 2])).
% 0.20/0.38 tff(13,plain,
% 0.20/0.38 ((~![Y: $i] : (~(big_p(tptp_fun_X_0(Y)) | (~big_p(Y))))) | (~(big_p(tptp_fun_X_0(elem!1)) | (~big_p(elem!1))))),
% 0.20/0.38 inference(quant_inst,[status(thm)],[])).
% 0.20/0.38 tff(14,plain,
% 0.20/0.38 (~(big_p(tptp_fun_X_0(elem!1)) | (~big_p(elem!1)))),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[13, 12])).
% 0.20/0.38 tff(15,plain,
% 0.20/0.38 ((big_p(tptp_fun_X_0(elem!1)) | (~big_p(elem!1))) | (~big_p(tptp_fun_X_0(elem!1)))),
% 0.20/0.38 inference(tautology,[status(thm)],[])).
% 0.20/0.38 tff(16,plain,
% 0.20/0.38 (~big_p(tptp_fun_X_0(elem!1))),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[15, 14])).
% 0.20/0.38 tff(17,plain,
% 0.20/0.38 ((big_p(tptp_fun_X_0(tptp_fun_X_0(elem!1))) | (~big_p(tptp_fun_X_0(elem!1)))) | big_p(tptp_fun_X_0(elem!1))),
% 0.20/0.38 inference(tautology,[status(thm)],[])).
% 0.20/0.38 tff(18,plain,
% 0.20/0.38 (big_p(tptp_fun_X_0(tptp_fun_X_0(elem!1))) | (~big_p(tptp_fun_X_0(elem!1)))),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[17, 16])).
% 0.20/0.38 tff(19,plain,
% 0.20/0.38 ((~![Y: $i] : (~(big_p(tptp_fun_X_0(Y)) | (~big_p(Y))))) | (~(big_p(tptp_fun_X_0(tptp_fun_X_0(elem!1))) | (~big_p(tptp_fun_X_0(elem!1)))))),
% 0.20/0.38 inference(quant_inst,[status(thm)],[])).
% 0.20/0.38 tff(20,plain,
% 0.20/0.38 ($false),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[19, 12, 18])).
% 0.20/0.38 % SZS output end Proof
% 0.20/0.38 % E exiting
%------------------------------------------------------------------------------