%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN053+1 : TPTP v9.0.0. Released v2.0.0.
% 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 05:38:04 AM UTC 2025
% Result : Theorem 0.12s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN053+1 : TPTP v9.0.0. Released v2.0.0.
% 0.07/0.12 % 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 12:27:12 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.38 % SZS status Theorem
% 0.12/0.38 % SZS output start Proof
% 0.12/0.38 tff(big_f_type, type, (
% 0.12/0.38 big_f: $i > $o)).
% 0.12/0.38 tff(tptp_fun_X_0_type, type, (
% 0.12/0.38 tptp_fun_X_0: $i)).
% 0.12/0.38 tff(p_type, type, (
% 0.12/0.38 p: $o)).
% 0.12/0.38 tff(tptp_fun_X1_1_type, type, (
% 0.12/0.38 tptp_fun_X1_1: $i)).
% 0.12/0.38 tff(1,assumption,(~(p | big_f(X1!1))), introduced(assumption)).
% 0.12/0.38 tff(2,plain,
% 0.12/0.38 ((p | big_f(X1!1)) | (~big_f(X1!1))),
% 0.12/0.38 inference(tautology,[status(thm)],[])).
% 0.12/0.38 tff(3,plain,
% 0.12/0.38 (~big_f(X1!1)),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[2, 1])).
% 0.12/0.38 tff(4,plain,
% 0.12/0.38 ((p | big_f(X1!1)) | (~p)),
% 0.12/0.38 inference(tautology,[status(thm)],[])).
% 0.12/0.38 tff(5,plain,
% 0.12/0.38 (~p),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[4, 1])).
% 0.12/0.38 tff(6,assumption,(~big_f(X1!1)), introduced(assumption)).
% 0.12/0.38 tff(7,assumption,(![X1: $i] : big_f(X1)), introduced(assumption)).
% 0.12/0.38 tff(8,plain,
% 0.12/0.38 ((~![X1: $i] : big_f(X1)) | big_f(X1!1)),
% 0.12/0.38 inference(quant_inst,[status(thm)],[])).
% 0.12/0.38 tff(9,plain,
% 0.12/0.38 ($false),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[8, 7, 6])).
% 0.12/0.38 tff(10,plain,((~![X1: $i] : big_f(X1)) | big_f(X1!1)), inference(lemma,lemma(discharge,[]))).
% 0.12/0.38 tff(11,plain,
% 0.12/0.38 (~![X1: $i] : big_f(X1)),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[10, 3])).
% 0.12/0.38 tff(12,plain,
% 0.12/0.38 ((p | ![X1: $i] : big_f(X1) | ![X: $i] : (p | big_f(X))) <=> (p | ![X1: $i] : big_f(X1) | ![X: $i] : (p | big_f(X)))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(13,plain,
% 0.12/0.38 (((![X: $i] : (p | big_f(X)) | (p | ![X1: $i] : big_f(X1))) & ((~(p | big_f(X!0))) | ((~p) & (~big_f(X1!1))))) <=> ((p | ![X1: $i] : big_f(X1) | ![X: $i] : (p | big_f(X))) & ((~(p | big_f(X!0))) | ((~p) & (~big_f(X1!1)))))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(14,plain,
% 0.12/0.38 ((~(![X: $i] : (p | big_f(X)) <=> (p | ![X1: $i] : big_f(X1)))) <=> (~(![X: $i] : (p | big_f(X)) <=> (p | ![X1: $i] : big_f(X1))))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(15,plain,
% 0.12/0.38 ((![X: $i] : (p | big_f(X)) <=> (p | ![X1: $i] : big_f(X1))) <=> (![X: $i] : (p | big_f(X)) <=> (p | ![X1: $i] : big_f(X1)))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(16,plain,
% 0.12/0.38 ((~(![X: $i] : (p | big_f(X)) <=> (p | ![X1: $i] : big_f(X1)))) <=> (~(![X: $i] : (p | big_f(X)) <=> (p | ![X1: $i] : big_f(X1))))),
% 0.12/0.38 inference(monotonicity,[status(thm)],[15])).
% 0.12/0.38 tff(17,plain,
% 0.12/0.38 ((~(![X: $i] : (p | big_f(X)) <=> (p | ![X1: $i] : big_f(X1)))) <=> (~(![X: $i] : (p | big_f(X)) <=> (p | ![X1: $i] : big_f(X1))))),
% 0.12/0.38 inference(transitivity,[status(thm)],[16, 14])).
% 0.12/0.38 tff(18,axiom,(~(![X: $i] : (p | big_f(X)) <=> (p | ![X1: $i] : big_f(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pel23')).
% 0.12/0.38 tff(19,plain,
% 0.12/0.38 (~(![X: $i] : (p | big_f(X)) <=> (p | ![X1: $i] : big_f(X1)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[18, 17])).
% 0.12/0.38 tff(20,plain,
% 0.12/0.38 (~(![X: $i] : (p | big_f(X)) <=> (p | ![X1: $i] : big_f(X1)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[19, 17])).
% 0.12/0.38 tff(21,plain,
% 0.12/0.38 (~(![X: $i] : (p | big_f(X)) <=> (p | ![X1: $i] : big_f(X1)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[20, 14])).
% 0.12/0.38 tff(22,plain,
% 0.12/0.38 (~(![X: $i] : (p | big_f(X)) <=> (p | ![X1: $i] : big_f(X1)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[21, 17])).
% 0.12/0.38 unexpected number of arguments: (let ((a!1 (lambda ((X $i)) (refl (~ (or p (big_f X)) (or p (big_f X))))))
% 0.12/0.38 (a!2 (forall ((X $i)) (or p (big_f X))))
% 0.12/0.38 (a!4 (lambda ((X1 $i)) (refl (~ (big_f X1) (big_f X1)))))
% 0.12/0.38 (a!5 (forall ((X1 $i)) (big_f X1)))
% 0.12/0.38 (a!9 (or (not (or p (big_f X!0))) (and (not p) (not (big_f X1!1))))))
% 0.12/0.38 (let ((a!3 (~ (not a!2) (not (or p (big_f X!0)))))
% 0.12/0.38 (a!6 (sk (~ (not a!5) (not (big_f X1!1)))))
% 0.12/0.38 (a!7 (~ (not (or p a!5)) (and (not p) (not (big_f X1!1)))))
% 0.12/0.38 (a!10 (~ (not (= a!2 (or p a!5))) (and (or a!2 (or p a!5)) a!9))))
% 0.12/0.38 (let ((a!8 (nnf-neg (refl (~ (not p) (not p))) a!6 a!7)))
% 0.12/0.38 (nnf-neg (nnf-pos (proof-bind a!1) (~ a!2 a!2))
% 0.12/0.38 (sk a!3)
% 0.12/0.38 (monotonicity (refl (~ p p))
% 0.12/0.38 (nnf-pos (proof-bind a!4) (~ a!5 a!5))
% 0.12/0.38 (~ (or p a!5) (or p a!5)))
% 0.12/0.38 a!8
% 0.12/0.38 a!10))))
% 0.12/0.38 Proof display could not be completed: unexpected number of arguments
% 0.12/0.38 % E exiting
%------------------------------------------------------------------------------