%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN926+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n004.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 0.11s 0.36s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SYN926+1 : TPTP v9.0.0. Released v3.1.0.
% 0.08/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n004.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jun 20 13:00:52 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.11/0.36 % SZS status Theorem
% 0.11/0.36 % SZS output start Proof
% 0.11/0.36 tff(q_type, type, (
% 0.11/0.36 q: $i > $o)).
% 0.11/0.36 tff(p_type, type, (
% 0.11/0.36 p: $i > $o)).
% 0.11/0.36 tff(tptp_fun_X_0_type, type, (
% 0.11/0.36 tptp_fun_X_0: $i)).
% 0.11/0.36 tff(1,assumption,(![X: $i] : (~p(X))), introduced(assumption)).
% 0.11/0.36 tff(2,plain,
% 0.11/0.36 (?[X: $i] : (p(X) & q(X)) <=> ?[X: $i] : (p(X) & q(X))),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(3,plain,
% 0.11/0.36 ((~(?[X: $i] : (p(X) & q(X)) => (?[X: $i] : p(X) & ?[X: $i] : q(X)))) <=> (~((~?[X: $i] : (p(X) & q(X))) | (?[X: $i] : p(X) & ?[X: $i] : q(X))))),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(4,axiom,(~(?[X: $i] : (p(X) & q(X)) => (?[X: $i] : p(X) & ?[X: $i] : q(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this')).
% 0.11/0.36 tff(5,plain,
% 0.11/0.36 (~((~?[X: $i] : (p(X) & q(X))) | (?[X: $i] : p(X) & ?[X: $i] : q(X)))),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.11/0.36 tff(6,plain,
% 0.11/0.36 (?[X: $i] : (p(X) & q(X))),
% 0.11/0.36 inference(or_elim,[status(thm)],[5])).
% 0.11/0.36 tff(7,plain,
% 0.11/0.36 (?[X: $i] : (p(X) & q(X))),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.11/0.36 tff(8,plain,(
% 0.11/0.36 p(X!0) & q(X!0)),
% 0.11/0.36 inference(skolemize,[status(sab)],[7])).
% 0.11/0.36 tff(9,plain,
% 0.11/0.36 (p(X!0)),
% 0.11/0.36 inference(and_elim,[status(thm)],[8])).
% 0.11/0.36 tff(10,plain,
% 0.11/0.36 ((~![X: $i] : (~p(X))) | (~p(X!0))),
% 0.11/0.36 inference(quant_inst,[status(thm)],[])).
% 0.11/0.36 tff(11,plain,
% 0.11/0.36 ($false),
% 0.11/0.36 inference(unit_resolution,[status(thm)],[10, 9, 1])).
% 0.11/0.36 tff(12,plain,(~![X: $i] : (~p(X))), inference(lemma,lemma(discharge,[]))).
% 0.11/0.36 tff(13,plain,
% 0.11/0.36 ((![X: $i] : (~p(X)) | ![X: $i] : (~q(X))) <=> (![X: $i] : (~p(X)) | ![X: $i] : (~q(X)))),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(14,plain,
% 0.11/0.36 ((![X: $i] : (~p(X)) | ![X: $i] : (~q(X))) <=> (![X: $i] : (~p(X)) | ![X: $i] : (~q(X)))),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(15,plain,
% 0.11/0.36 ((?[X: $i] : p(X) & ?[X: $i] : q(X)) <=> (?[X: $i] : p(X) & ?[X: $i] : q(X))),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(16,plain,
% 0.11/0.36 ((~(?[X: $i] : p(X) & ?[X: $i] : q(X))) <=> (~(?[X: $i] : p(X) & ?[X: $i] : q(X)))),
% 0.11/0.36 inference(monotonicity,[status(thm)],[15])).
% 0.11/0.36 tff(17,plain,
% 0.11/0.36 ((~(?[X: $i] : p(X) & ?[X: $i] : q(X))) <=> (~(?[X: $i] : p(X) & ?[X: $i] : q(X)))),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(18,plain,
% 0.11/0.36 (~(?[X: $i] : p(X) & ?[X: $i] : q(X))),
% 0.11/0.36 inference(or_elim,[status(thm)],[5])).
% 0.11/0.36 tff(19,plain,
% 0.11/0.36 (~(?[X: $i] : p(X) & ?[X: $i] : q(X))),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[18, 16])).
% 0.11/0.36 tff(20,plain,
% 0.11/0.36 (~(?[X: $i] : p(X) & ?[X: $i] : q(X))),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[19, 17])).
% 0.11/0.36 tff(21,plain,
% 0.11/0.36 (~(?[X: $i] : p(X) & ?[X: $i] : q(X))),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[20, 16])).
% 0.11/0.36 unexpected number of arguments: (let ((a!1 (lambda ((X $i)) (refl (~ (not (p X)) (not (p X))))))
% 0.11/0.36 (a!2 (exists ((X $i)) (p X)))
% 0.11/0.36 (a!3 (forall ((X $i)) (not (p X))))
% 0.11/0.36 (a!4 (lambda ((X $i)) (refl (~ (not (q X)) (not (q X))))))
% 0.11/0.36 (a!5 (exists ((X $i)) (q X)))
% 0.11/0.36 (a!6 (forall ((X $i)) (not (q X)))))
% 0.11/0.36 (nnf-neg (nnf-neg (proof-bind a!1) (~ (not a!2) a!3))
% 0.11/0.36 (nnf-neg (proof-bind a!4) (~ (not a!5) a!6))
% 0.11/0.36 (~ (not (and a!2 a!5)) (or a!3 a!6))))
% 0.11/0.36 Proof display could not be completed: unexpected number of arguments
% 0.11/0.37 % E exiting
%------------------------------------------------------------------------------