%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN929+1 : TPTP v9.0.0. Released v3.1.0.
% 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 05:41:01 AM UTC 2025
% Result : Theorem 0.21s 0.37s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN929+1 : TPTP v9.0.0. Released v3.1.0.
% 0.03/0.12 % 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 13:05:20 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.21/0.37 % SZS status Theorem
% 0.21/0.37 % SZS output start Proof
% 0.21/0.37 tff(p_type, type, (
% 0.21/0.37 p: $i > $o)).
% 0.21/0.37 tff(tptp_fun_X_1_type, type, (
% 0.21/0.37 tptp_fun_X_1: $i)).
% 0.21/0.37 tff(tptp_fun_Y_0_type, type, (
% 0.21/0.37 tptp_fun_Y_0: $i)).
% 0.21/0.37 tff(1,plain,
% 0.21/0.37 ((~![Y: $i] : (p(Y) | (~?[X: $i] : p(X)))) <=> (~![Y: $i] : (p(Y) | (~?[X: $i] : p(X))))),
% 0.21/0.37 inference(rewrite,[status(thm)],[])).
% 0.21/0.37 tff(2,plain,
% 0.21/0.37 ((~((~?[Y: $i] : p(Y)) => ![Y: $i] : (?[X: $i] : p(X) => p(Y)))) <=> (~(?[Y: $i] : p(Y) | ![Y: $i] : (p(Y) | (~?[X: $i] : p(X)))))),
% 0.21/0.37 inference(rewrite,[status(thm)],[])).
% 0.21/0.37 tff(3,axiom,(~((~?[Y: $i] : p(Y)) => ![Y: $i] : (?[X: $i] : p(X) => p(Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this')).
% 0.21/0.37 tff(4,plain,
% 0.21/0.37 (~(?[Y: $i] : p(Y) | ![Y: $i] : (p(Y) | (~?[X: $i] : p(X))))),
% 0.21/0.37 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.21/0.37 tff(5,plain,
% 0.21/0.37 (~![Y: $i] : (p(Y) | (~?[X: $i] : p(X)))),
% 0.21/0.37 inference(or_elim,[status(thm)],[4])).
% 0.21/0.37 tff(6,plain,
% 0.21/0.37 (~![Y: $i] : (p(Y) | (~?[X: $i] : p(X)))),
% 0.21/0.37 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.21/0.37 tff(7,plain,
% 0.21/0.37 (~![Y: $i] : (p(Y) | (~?[X: $i] : p(X)))),
% 0.21/0.37 inference(modus_ponens,[status(thm)],[6, 1])).
% 0.21/0.37 tff(8,plain,
% 0.21/0.37 (~![Y: $i] : (p(Y) | (~?[X: $i] : p(X)))),
% 0.21/0.37 inference(modus_ponens,[status(thm)],[7, 1])).
% 0.21/0.37 tff(9,plain,
% 0.21/0.37 (p(X!1)),
% 0.21/0.37 inference(and_elim,[status(thm)],[8])).
% 0.21/0.37 tff(10,plain,
% 0.21/0.37 (^[Y: $i] : refl((~p(Y)) <=> (~p(Y)))),
% 0.21/0.37 inference(bind,[status(th)],[])).
% 0.21/0.37 tff(11,plain,
% 0.21/0.37 (![Y: $i] : (~p(Y)) <=> ![Y: $i] : (~p(Y))),
% 0.21/0.37 inference(quant_intro,[status(thm)],[10])).
% 0.21/0.37 tff(12,plain,
% 0.21/0.37 ((~?[Y: $i] : p(Y)) <=> (~?[Y: $i] : p(Y))),
% 0.21/0.37 inference(rewrite,[status(thm)],[])).
% 0.21/0.37 tff(13,plain,
% 0.21/0.37 (~?[Y: $i] : p(Y)),
% 0.21/0.37 inference(or_elim,[status(thm)],[4])).
% 0.21/0.37 tff(14,plain,
% 0.21/0.37 (~?[Y: $i] : p(Y)),
% 0.21/0.37 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.21/0.37 tff(15,plain,
% 0.21/0.37 (~?[Y: $i] : p(Y)),
% 0.21/0.37 inference(modus_ponens,[status(thm)],[14, 12])).
% 0.21/0.37 tff(16,plain,
% 0.21/0.37 (~?[Y: $i] : p(Y)),
% 0.21/0.37 inference(modus_ponens,[status(thm)],[15, 12])).
% 0.21/0.37 tff(17,plain,
% 0.21/0.37 (^[Y: $i] : refl($oeq((~p(Y)), (~p(Y))))),
% 0.21/0.37 inference(bind,[status(th)],[])).
% 0.21/0.37 tff(18,plain,(
% 0.21/0.37 ![Y: $i] : (~p(Y))),
% 0.21/0.37 inference(nnf-neg,[status(sab)],[16, 17])).
% 0.21/0.37 tff(19,plain,
% 0.21/0.37 (![Y: $i] : (~p(Y))),
% 0.21/0.37 inference(modus_ponens,[status(thm)],[18, 11])).
% 0.21/0.37 tff(20,plain,
% 0.21/0.37 ((~![Y: $i] : (~p(Y))) | (~p(X!1))),
% 0.21/0.37 inference(quant_inst,[status(thm)],[])).
% 0.21/0.37 tff(21,plain,
% 0.21/0.37 ($false),
% 0.21/0.37 inference(unit_resolution,[status(thm)],[20, 19, 9])).
% 0.21/0.37 % SZS output end Proof
% 0.21/0.37 % E exiting
%------------------------------------------------------------------------------