%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN398+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 05:38:59 AM UTC 2025
% Result : Theorem 0.19s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN398+1 : TPTP v9.0.0. Released v2.0.0.
% 0.12/0.12 % 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 12:32:50 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.19/0.37 % SZS status Theorem
% 0.19/0.37 % SZS output start Proof
% 0.19/0.37 tff(f_type, type, (
% 0.19/0.37 f: $i > $o)).
% 0.19/0.37 tff(tptp_fun_X_0_type, type, (
% 0.19/0.37 tptp_fun_X_0: $i)).
% 0.19/0.37 tff(p_type, type, (
% 0.19/0.37 p: $o)).
% 0.19/0.37 tff(tptp_fun_Y_1_type, type, (
% 0.19/0.37 tptp_fun_Y_1: $i)).
% 0.19/0.37 tff(1,assumption,(![X: $i] : (~((~p) | (~f(X))))), introduced(assumption)).
% 0.19/0.37 tff(2,plain,
% 0.19/0.37 ((~![X: $i] : (~((~p) | (~f(X))))) | (~((~p) | (~f(Y!1))))),
% 0.19/0.37 inference(quant_inst,[status(thm)],[])).
% 0.19/0.37 tff(3,plain,
% 0.19/0.37 (~((~p) | (~f(Y!1)))),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[2, 1])).
% 0.19/0.37 tff(4,plain,
% 0.19/0.37 (((~p) | (~f(Y!1))) | p),
% 0.19/0.37 inference(tautology,[status(thm)],[])).
% 0.19/0.37 tff(5,plain,
% 0.19/0.37 (p),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[4, 3])).
% 0.19/0.37 tff(6,assumption,(~f(Y!1)), introduced(assumption)).
% 0.19/0.37 tff(7,plain,
% 0.19/0.37 (((~p) | (~f(Y!1))) | f(Y!1)),
% 0.19/0.37 inference(tautology,[status(thm)],[])).
% 0.19/0.37 tff(8,plain,
% 0.19/0.37 ((~p) | (~f(Y!1))),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[7, 6])).
% 0.19/0.37 tff(9,assumption,(![Y: $i] : f(Y)), introduced(assumption)).
% 0.19/0.37 tff(10,plain,
% 0.19/0.37 ((~![Y: $i] : f(Y)) | f(Y!1)),
% 0.19/0.37 inference(quant_inst,[status(thm)],[])).
% 0.19/0.37 tff(11,plain,
% 0.19/0.37 ($false),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[10, 9, 6])).
% 0.19/0.37 tff(12,plain,((~![Y: $i] : f(Y)) | f(Y!1)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.37 tff(13,plain,
% 0.19/0.37 (~![Y: $i] : f(Y)),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[12, 6])).
% 0.19/0.37 tff(14,plain,
% 0.19/0.37 (((~p) | (~![Y: $i] : f(Y))) | ![Y: $i] : f(Y)),
% 0.19/0.37 inference(tautology,[status(thm)],[])).
% 0.19/0.37 tff(15,plain,
% 0.19/0.37 ((~p) | (~![Y: $i] : f(Y))),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[14, 13])).
% 0.19/0.37 tff(16,plain,
% 0.19/0.37 (((~((~p) | (~![Y: $i] : f(Y)))) | ![X: $i] : (~((~p) | (~f(X))))) <=> ((~((~p) | (~![Y: $i] : f(Y)))) | ![X: $i] : (~((~p) | (~f(X)))))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(17,plain,
% 0.19/0.37 (((p & ![Y: $i] : f(Y)) | ![X: $i] : (p & f(X))) <=> ((~((~p) | (~![Y: $i] : f(Y)))) | ![X: $i] : (~((~p) | (~f(X)))))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(18,plain,
% 0.19/0.37 (((![X: $i] : (p & f(X)) | (p & ![Y: $i] : f(Y))) & ((~(p & f(X!0))) | ((~p) | (~f(Y!1))))) <=> (((p & ![Y: $i] : f(Y)) | ![X: $i] : (p & f(X))) & ((~(p & f(X!0))) | (~p) | (~f(Y!1))))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(19,plain,
% 0.19/0.37 ((~(![X: $i] : (p & f(X)) <=> (p & ![Y: $i] : f(Y)))) <=> (~(![X: $i] : (p & f(X)) <=> (p & ![Y: $i] : f(Y))))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(20,plain,
% 0.19/0.37 ((![X: $i] : (p & f(X)) <=> (p & ![Y: $i] : f(Y))) <=> (![X: $i] : (p & f(X)) <=> (p & ![Y: $i] : f(Y)))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(21,plain,
% 0.19/0.37 ((~(![X: $i] : (p & f(X)) <=> (p & ![Y: $i] : f(Y)))) <=> (~(![X: $i] : (p & f(X)) <=> (p & ![Y: $i] : f(Y))))),
% 0.19/0.37 inference(monotonicity,[status(thm)],[20])).
% 0.19/0.37 tff(22,plain,
% 0.19/0.37 ((~(![X: $i] : (p & f(X)) <=> (p & ![Y: $i] : f(Y)))) <=> (~(![X: $i] : (p & f(X)) <=> (p & ![Y: $i] : f(Y))))),
% 0.19/0.37 inference(transitivity,[status(thm)],[21, 19])).
% 0.19/0.37 tff(23,axiom,(~(![X: $i] : (p & f(X)) <=> (p & ![Y: $i] : f(Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','kalish215')).
% 0.19/0.37 tff(24,plain,
% 0.19/0.37 (~(![X: $i] : (p & f(X)) <=> (p & ![Y: $i] : f(Y)))),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[23, 22])).
% 0.19/0.37 tff(25,plain,
% 0.19/0.37 (~(![X: $i] : (p & f(X)) <=> (p & ![Y: $i] : f(Y)))),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[24, 22])).
% 0.19/0.37 tff(26,plain,
% 0.19/0.37 (~(![X: $i] : (p & f(X)) <=> (p & ![Y: $i] : f(Y)))),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[25, 19])).
% 0.19/0.37 tff(27,plain,
% 0.19/0.37 (~(![X: $i] : (p & f(X)) <=> (p & ![Y: $i] : f(Y)))),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[26, 22])).
% 0.19/0.37 unexpected number of arguments: (let ((a!1 (lambda ((X $i)) (refl (~ (and p (f X)) (and p (f X))))))
% 0.19/0.37 (a!2 (forall ((X $i)) (and p (f X))))
% 0.19/0.37 (a!4 (lambda ((Y $i)) (refl (~ (f Y) (f Y)))))
% 0.19/0.37 (a!5 (forall ((Y $i)) (f Y)))
% 0.19/0.37 (a!9 (or (not (and p (f X!0))) (or (not p) (not (f Y!1))))))
% 0.19/0.37 (let ((a!3 (~ (not a!2) (not (and p (f X!0)))))
% 0.19/0.37 (a!6 (sk (~ (not a!5) (not (f Y!1)))))
% 0.19/0.37 (a!7 (~ (not (and p a!5)) (or (not p) (not (f Y!1)))))
% 0.19/0.37 (a!10 (~ (not (= a!2 (and p a!5))) (and (or a!2 (and p a!5)) a!9))))
% 0.19/0.37 (let ((a!8 (nnf-neg (refl (~ (not p) (not p))) a!6 a!7)))
% 0.19/0.37 (nnf-neg (nnf-pos (proof-bind a!1) (~ a!2 a!2))
% 0.19/0.37 (sk a!3)
% 0.19/0.37 (monotonicity (refl (~ p p))
% 0.19/0.37 (nnf-pos (proof-bind a!4) (~ a!5 a!5))
% 0.19/0.37 (~ (and p a!5) (and p a!5)))
% 0.19/0.37 a!8
% 0.19/0.37 a!10))))
% 0.19/0.37 Proof display could not be completed: unexpected number of arguments
% 0.19/0.37 % E exiting
%------------------------------------------------------------------------------