%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN923+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 05:41:00 AM UTC 2025
% Result : Theorem 0.12s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN923+1 : TPTP v9.0.0. Released v3.1.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n011.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 13:01:12 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.37 % SZS status Theorem
% 0.12/0.37 % SZS output start Proof
% 0.12/0.37 tff(q_type, type, (
% 0.12/0.37 q: $i > $o)).
% 0.12/0.37 tff(tptp_fun_X_0_type, type, (
% 0.12/0.37 tptp_fun_X_0: $i)).
% 0.12/0.37 tff(p_type, type, (
% 0.12/0.37 p: $i > $o)).
% 0.12/0.37 tff(1,plain,
% 0.12/0.37 ((~![X: $i] : (p(X) | q(X))) <=> (~![X: $i] : (p(X) | q(X)))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(2,plain,
% 0.12/0.37 ((~((![X: $i] : p(X) | ![X: $i] : q(X)) => ![X: $i] : (p(X) | q(X)))) <=> (~((~(![X: $i] : p(X) | ![X: $i] : q(X))) | ![X: $i] : (p(X) | q(X))))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(3,axiom,(~((![X: $i] : p(X) | ![X: $i] : q(X)) => ![X: $i] : (p(X) | q(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this')).
% 0.12/0.37 tff(4,plain,
% 0.12/0.37 (~((~(![X: $i] : p(X) | ![X: $i] : q(X))) | ![X: $i] : (p(X) | q(X)))),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.12/0.37 tff(5,plain,
% 0.12/0.37 (~![X: $i] : (p(X) | q(X))),
% 0.12/0.37 inference(or_elim,[status(thm)],[4])).
% 0.12/0.37 tff(6,plain,
% 0.12/0.37 (~![X: $i] : (p(X) | q(X))),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.12/0.37 tff(7,plain,
% 0.12/0.37 (~![X: $i] : (p(X) | q(X))),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[6, 1])).
% 0.12/0.37 tff(8,plain,
% 0.12/0.37 (~![X: $i] : (p(X) | q(X))),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[7, 1])).
% 0.12/0.37 tff(9,plain,(
% 0.12/0.37 ~(p(X!0) | q(X!0))),
% 0.12/0.37 inference(skolemize,[status(sab)],[8])).
% 0.12/0.37 tff(10,plain,
% 0.12/0.37 (~q(X!0)),
% 0.12/0.37 inference(or_elim,[status(thm)],[9])).
% 0.12/0.37 tff(11,plain,
% 0.12/0.37 (~p(X!0)),
% 0.12/0.37 inference(or_elim,[status(thm)],[9])).
% 0.12/0.37 tff(12,assumption,(![X: $i] : p(X)), introduced(assumption)).
% 0.12/0.37 tff(13,plain,
% 0.12/0.37 ((~![X: $i] : p(X)) | p(X!0)),
% 0.12/0.37 inference(quant_inst,[status(thm)],[])).
% 0.12/0.37 tff(14,plain,
% 0.12/0.37 ($false),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[13, 12, 11])).
% 0.12/0.37 tff(15,plain,(~![X: $i] : p(X)), inference(lemma,lemma(discharge,[]))).
% 0.12/0.37 tff(16,plain,
% 0.12/0.37 ((![X: $i] : p(X) | ![X: $i] : q(X)) <=> (![X: $i] : p(X) | ![X: $i] : q(X))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(17,plain,
% 0.12/0.37 ((![X: $i] : p(X) | ![X: $i] : q(X)) <=> (![X: $i] : p(X) | ![X: $i] : q(X))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(18,plain,
% 0.12/0.37 (![X: $i] : p(X) | ![X: $i] : q(X)),
% 0.12/0.37 inference(or_elim,[status(thm)],[4])).
% 0.12/0.37 tff(19,plain,
% 0.12/0.37 (![X: $i] : p(X) | ![X: $i] : q(X)),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[18, 17])).
% 0.12/0.37 tff(20,plain,
% 0.12/0.37 (![X: $i] : p(X) | ![X: $i] : q(X)),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[19, 17])).
% 0.12/0.37 tff(21,plain,
% 0.12/0.37 (![X: $i] : p(X) | ![X: $i] : q(X)),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[20, 17])).
% 0.12/0.37 Proof display could not be completed: monotonicity rule is not handled
% 0.12/0.37 % E exiting
%------------------------------------------------------------------------------