%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN358+1 : TPTP v9.0.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n005.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 05:38:53 AM UTC 2025
% Result : Theorem 0.12s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN358+1 : TPTP v9.0.0. Released v2.0.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n005.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 12:31:50 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(big_q_type, type, (
% 0.12/0.37 big_q: $i > $o)).
% 0.12/0.37 tff(p_type, type, (
% 0.12/0.37 p: $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(tptp_fun_X_1_type, type, (
% 0.12/0.37 tptp_fun_X_1: $i)).
% 0.12/0.37 tff(1,assumption,(![X: $i] : ((~p) | (~big_q(X)))), introduced(assumption)).
% 0.12/0.37 tff(2,assumption,(big_q(X!1)), introduced(assumption)).
% 0.12/0.37 tff(3,assumption,(![X: $i] : (~big_q(X))), introduced(assumption)).
% 0.12/0.37 tff(4,plain,
% 0.12/0.37 ((~![X: $i] : (~big_q(X))) | (~big_q(X!1))),
% 0.12/0.37 inference(quant_inst,[status(thm)],[])).
% 0.12/0.37 tff(5,plain,
% 0.12/0.37 ($false),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[4, 2, 3])).
% 0.12/0.37 tff(6,plain,((~![X: $i] : (~big_q(X))) | (~big_q(X!1))), inference(lemma,lemma(discharge,[]))).
% 0.12/0.37 tff(7,plain,
% 0.12/0.37 (~![X: $i] : (~big_q(X))),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[6, 2])).
% 0.12/0.37 tff(8,assumption,(~p), introduced(assumption)).
% 0.12/0.37 tff(9,plain,
% 0.12/0.37 (((~p) | (~big_q(X!0))) | p),
% 0.12/0.37 inference(tautology,[status(thm)],[])).
% 0.12/0.37 tff(10,plain,
% 0.12/0.37 ((~p) | (~big_q(X!0))),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[9, 8])).
% 0.12/0.37 tff(11,plain,
% 0.12/0.37 (((~p) | (~big_q(X!1))) | p),
% 0.12/0.37 inference(tautology,[status(thm)],[])).
% 0.12/0.37 tff(12,plain,
% 0.12/0.37 ((~p) | (~big_q(X!1))),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[11, 8])).
% 0.12/0.37 tff(13,plain,
% 0.12/0.37 (((p & big_q(X!0)) | (p & big_q(X!1))) <=> ((~((~p) | (~big_q(X!0)))) | (~((~p) | (~big_q(X!1)))))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(14,plain,
% 0.12/0.37 ((((p & big_q(X!0)) | (p & big_q(X!1))) & (![X: $i] : (~(p & big_q(X))) | ((~p) | ![X: $i] : (~big_q(X))))) <=> (((p & big_q(X!0)) | (p & big_q(X!1))) & (![X: $i] : (~(p & big_q(X))) | (~p) | ![X: $i] : (~big_q(X))))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(15,plain,
% 0.12/0.37 ((~(?[X: $i] : (p & big_q(X)) <=> (p & ?[X: $i] : big_q(X)))) <=> (~(?[X: $i] : (p & big_q(X)) <=> (p & ?[X: $i] : big_q(X))))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(16,plain,
% 0.12/0.37 ((?[X: $i] : (p & big_q(X)) <=> (p & ?[X: $i] : big_q(X))) <=> (?[X: $i] : (p & big_q(X)) <=> (p & ?[X: $i] : big_q(X)))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(17,plain,
% 0.12/0.37 ((~(?[X: $i] : (p & big_q(X)) <=> (p & ?[X: $i] : big_q(X)))) <=> (~(?[X: $i] : (p & big_q(X)) <=> (p & ?[X: $i] : big_q(X))))),
% 0.12/0.37 inference(monotonicity,[status(thm)],[16])).
% 0.12/0.37 tff(18,plain,
% 0.12/0.37 ((~(?[X: $i] : (p & big_q(X)) <=> (p & ?[X: $i] : big_q(X)))) <=> (~(?[X: $i] : (p & big_q(X)) <=> (p & ?[X: $i] : big_q(X))))),
% 0.12/0.37 inference(transitivity,[status(thm)],[17, 15])).
% 0.12/0.37 tff(19,axiom,(~(?[X: $i] : (p & big_q(X)) <=> (p & ?[X: $i] : big_q(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','x2109')).
% 0.12/0.37 tff(20,plain,
% 0.12/0.37 (~(?[X: $i] : (p & big_q(X)) <=> (p & ?[X: $i] : big_q(X)))),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[19, 18])).
% 0.12/0.37 tff(21,plain,
% 0.12/0.37 (~(?[X: $i] : (p & big_q(X)) <=> (p & ?[X: $i] : big_q(X)))),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[20, 18])).
% 0.12/0.37 tff(22,plain,
% 0.12/0.37 (~(?[X: $i] : (p & big_q(X)) <=> (p & ?[X: $i] : big_q(X)))),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[21, 15])).
% 0.12/0.37 tff(23,plain,
% 0.12/0.37 (~(?[X: $i] : (p & big_q(X)) <=> (p & ?[X: $i] : big_q(X)))),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[22, 18])).
% 0.12/0.37 unexpected number of arguments: (let ((a!1 (exists ((X $i)) (and p (big_q X))))
% 0.12/0.37 (a!3 (forall ((X $i)) (not (and p (big_q X)))))
% 0.12/0.37 (a!5 (exists ((X $i)) (big_q X)))
% 0.12/0.37 (a!7 (lambda ((X $i)) (refl (~ (not (big_q X)) (not (big_q X))))))
% 0.12/0.37 (a!8 (forall ((X $i)) (not (big_q X)))))
% 0.12/0.37 (let ((a!2 (sk (~ a!1 (and p (big_q X!0)))))
% 0.12/0.37 (a!4 (nnf-neg (proof-bind (lambda ((X $i))
% 0.12/0.37 (let ((a!1 (~ (not (and p (big_q X)))
% 0.12/0.37 (not (and p (big_q X))))))
% 0.12/0.37 (refl a!1))))
% 0.12/0.37 (~ (not a!1) a!3)))
% 0.12/0.37 (a!6 (monotonicity (refl (~ p p))
% 0.12/0.37 (sk (~ a!5 (big_q X!1)))
% 0.12/0.37 (~ (and p a!5) (and p (big_q X!1)))))
% 0.12/0.37 (a!9 (nnf-neg (refl (~ (not p) (not p)))
% 0.12/0.37 (nnf-neg (proof-bind a!7) (~ (not a!5) a!8))
% 0.12/0.37 (~ (not (and p a!5)) (or (not p) a!8))))
% 0.12/0.37 (a!10 (and (or (and p (big_q X!0)) (and p (big_q X!1)))
% 0.12/0.37 (or a!3 (or (not p) a!8)))))
% 0.12/0.37 (let ((a!11 (~ (not (= a!1 (and p a!5))) a!10)))
% 0.12/0.37 (nnf-neg a!2 a!4 a!6 a!9 a!11))))
% 0.12/0.37 Proof display could not be completed: unexpected number of arguments
% 0.12/0.38 % E exiting
%------------------------------------------------------------------------------