%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYO580+1 : TPTP v9.0.0. Released v5.5.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n006.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 05:41:55 AM UTC 2025
% Result : Theorem 0.38s 0.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO580+1 : TPTP v9.0.0. Released v5.5.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n006.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 13:11:20 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.38/0.54 % SZS status Theorem
% 0.38/0.54 % SZS output start Proof
% 0.38/0.54 tff(k04_buttercup10303_type, type, (
% 0.38/0.54 k04_buttercup10303: $i > $o)).
% 0.38/0.54 tff(b48_buttercup10305_type, type, (
% 0.38/0.54 b48_buttercup10305: $i > $o)).
% 0.38/0.54 tff(tptp_fun_X1058_512_type, type, (
% 0.38/0.54 tptp_fun_X1058_512: $i)).
% 0.38/0.54 tff(tptp_fun_X320_0_type, type, (
% 0.38/0.54 tptp_fun_X320_0: $i)).
% 0.38/0.54 tff(1,assumption,(~(k04_buttercup10303(X1058!512) | (~b48_buttercup10305(X1058!512)))), introduced(assumption)).
% 0.38/0.54 tff(2,plain,
% 0.38/0.54 ((k04_buttercup10303(X1058!512) | (~b48_buttercup10305(X1058!512))) | b48_buttercup10305(X1058!512)),
% 0.38/0.54 inference(tautology,[status(thm)],[])).
% 0.38/0.54 tff(3,plain,
% 0.38/0.54 (b48_buttercup10305(X1058!512)),
% 0.38/0.54 inference(unit_resolution,[status(thm)],[2, 1])).
% 0.38/0.54 tff(4,plain,
% 0.38/0.54 ((k04_buttercup10303(X1058!512) | (~b48_buttercup10305(X1058!512))) | (~k04_buttercup10303(X1058!512))),
% 0.38/0.54 inference(tautology,[status(thm)],[])).
% 0.38/0.54 tff(5,plain,
% 0.38/0.54 (~k04_buttercup10303(X1058!512)),
% 0.38/0.54 inference(unit_resolution,[status(thm)],[4, 1])).
% 0.38/0.54 tff(6,plain,
% 0.38/0.54 (^[X319: $i] : refl((k04_buttercup10303(X319) | (~b48_buttercup10305(X319))) <=> (k04_buttercup10303(X319) | (~b48_buttercup10305(X319))))),
% 0.38/0.54 inference(bind,[status(th)],[])).
% 0.38/0.54 tff(7,plain,
% 0.38/0.54 (![X319: $i] : (k04_buttercup10303(X319) | (~b48_buttercup10305(X319))) <=> ![X319: $i] : (k04_buttercup10303(X319) | (~b48_buttercup10305(X319)))),
% 0.38/0.54 inference(quant_intro,[status(thm)],[6])).
% 0.38/0.54 tff(8,plain,
% 0.38/0.54 (![X319: $i] : (k04_buttercup10303(X319) | (~b48_buttercup10305(X319))) <=> ![X319: $i] : (k04_buttercup10303(X319) | (~b48_buttercup10305(X319)))),
% 0.38/0.54 inference(rewrite,[status(thm)],[])).
% 0.38/0.54 tff(9,plain,
% 0.38/0.54 (^[X319: $i] : rewrite((b48_buttercup10305(X319) => k04_buttercup10303(X319)) <=> (k04_buttercup10303(X319) | (~b48_buttercup10305(X319))))),
% 0.38/0.54 inference(bind,[status(th)],[])).
% 0.38/0.54 tff(10,plain,
% 0.38/0.54 (![X319: $i] : (b48_buttercup10305(X319) => k04_buttercup10303(X319)) <=> ![X319: $i] : (k04_buttercup10303(X319) | (~b48_buttercup10305(X319)))),
% 0.38/0.54 inference(quant_intro,[status(thm)],[9])).
% 0.38/0.54 tff(11,axiom,(![X319: $i] : (b48_buttercup10305(X319) => k04_buttercup10303(X319)) & ?[X320: $i] : (k04_buttercup10303(X320) & (~b48_buttercup10305(X320)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sos_320')).
% 0.38/0.54 tff(12,plain,
% 0.38/0.54 (![X319: $i] : (b48_buttercup10305(X319) => k04_buttercup10303(X319))),
% 0.38/0.54 inference(and_elim,[status(thm)],[11])).
% 0.38/0.54 tff(13,plain,
% 0.38/0.54 (![X319: $i] : (k04_buttercup10303(X319) | (~b48_buttercup10305(X319)))),
% 0.38/0.54 inference(modus_ponens,[status(thm)],[12, 10])).
% 0.38/0.54 tff(14,plain,
% 0.38/0.54 (![X319: $i] : (k04_buttercup10303(X319) | (~b48_buttercup10305(X319)))),
% 0.38/0.54 inference(modus_ponens,[status(thm)],[13, 8])).
% 0.38/0.54 tff(15,plain,(
% 0.38/0.54 ![X319: $i] : (k04_buttercup10303(X319) | (~b48_buttercup10305(X319)))),
% 0.38/0.54 inference(skolemize,[status(sab)],[14])).
% 0.38/0.54 tff(16,plain,
% 0.38/0.54 (![X319: $i] : (k04_buttercup10303(X319) | (~b48_buttercup10305(X319)))),
% 0.38/0.54 inference(modus_ponens,[status(thm)],[15, 7])).
% 0.38/0.54 tff(17,plain,
% 0.38/0.54 (((~![X319: $i] : (k04_buttercup10303(X319) | (~b48_buttercup10305(X319)))) | (k04_buttercup10303(X1058!512) | (~b48_buttercup10305(X1058!512)))) <=> ((~![X319: $i] : (k04_buttercup10303(X319) | (~b48_buttercup10305(X319)))) | k04_buttercup10303(X1058!512) | (~b48_buttercup10305(X1058!512)))),
% 0.38/0.54 inference(rewrite,[status(thm)],[])).
% 0.38/0.54 tff(18,plain,
% 0.38/0.54 ((~![X319: $i] : (k04_buttercup10303(X319) | (~b48_buttercup10305(X319)))) | (k04_buttercup10303(X1058!512) | (~b48_buttercup10305(X1058!512)))),
% 0.38/0.54 inference(quant_inst,[status(thm)],[])).
% 0.38/0.54 tff(19,plain,
% 0.38/0.54 ((~![X319: $i] : (k04_buttercup10303(X319) | (~b48_buttercup10305(X319)))) | k04_buttercup10303(X1058!512) | (~b48_buttercup10305(X1058!512))),
% 0.38/0.54 inference(modus_ponens,[status(thm)],[18, 17])).
% 0.38/0.54 tff(20,plain,
% 0.38/0.54 ($false),
% 0.38/0.54 inference(unit_resolution,[status(thm)],[19, 16, 5, 3])).
% 0.38/0.54 tff(21,plain,(k04_buttercup10303(X1058!512) | (~b48_buttercup10305(X1058!512))), inference(lemma,lemma(discharge,[]))).
% 0.38/0.54 tff(22,plain,
% 0.38/0.54 (((~(k04_buttercup10303(X1058!512) | (~b48_buttercup10305(X1058!512)))) | ![X1059: $i] : (b48_buttercup10305(X1059) | (~k04_buttercup10303(X1059)))) <=> ((~(k04_buttercup10303(X1058!512) | (~b48_buttercup10305(X1058!512)))) | ![X1059: $i] : (b48_buttercup10305(X1059) | (~k04_buttercup10303(X1059))))),
% 0.38/0.54 inference(rewrite,[status(thm)],[])).
% 0.38/0.54 tff(23,plain,
% 0.38/0.54 (((~(k04_buttercup10303(X1058!512) | (~b48_buttercup10305(X1058!512)))) | ![X1059: $i] : (~(k04_buttercup10303(X1059) & (~b48_buttercup10305(X1059))))) <=> ((~(k04_buttercup10303(X1058!512) | (~b48_buttercup10305(X1058!512)))) | ![X1059: $i] : (b48_buttercup10305(X1059) | (~k04_buttercup10303(X1059))))),
% 0.38/0.54 inference(rewrite,[status(thm)],[])).
% 0.38/0.54 tff(24,plain,
% 0.38/0.54 (((~(k04_buttercup10303(X1058!512) | (~b48_buttercup10305(X1058!512)))) | ![X1059: $i] : (~(k04_buttercup10303(X1059) & (~b48_buttercup10305(X1059))))) <=> ((~(k04_buttercup10303(X1058!512) | (~b48_buttercup10305(X1058!512)))) | ![X1059: $i] : (~(k04_buttercup10303(X1059) & (~b48_buttercup10305(X1059)))))),
% 0.38/0.54 inference(rewrite,[status(thm)],[])).
% 0.38/0.54 tff(25,plain,
% 0.38/0.54 ((![X1058: $i] : (k04_buttercup10303(X1058) | (~b48_buttercup10305(X1058))) & ?[X1059: $i] : (k04_buttercup10303(X1059) & (~b48_buttercup10305(X1059)))) <=> (![X1058: $i] : (k04_buttercup10303(X1058) | (~b48_buttercup10305(X1058))) & ?[X1059: $i] : (k04_buttercup10303(X1059) & (~b48_buttercup10305(X1059))))),
% 0.38/0.54 inference(rewrite,[status(thm)],[])).
% 0.38/0.54 tff(26,plain,
% 0.38/0.54 ((~(![X1058: $i] : (k04_buttercup10303(X1058) | (~b48_buttercup10305(X1058))) & ?[X1059: $i] : (k04_buttercup10303(X1059) & (~b48_buttercup10305(X1059))))) <=> (~(![X1058: $i] : (k04_buttercup10303(X1058) | (~b48_buttercup10305(X1058))) & ?[X1059: $i] : (k04_buttercup10303(X1059) & (~b48_buttercup10305(X1059)))))),
% 0.38/0.54 inference(monotonicity,[status(thm)],[25])).
% 0.38/0.54 tff(27,plain,
% 0.38/0.54 ((~(![X1058: $i] : (k04_buttercup10303(X1058) | (~b48_buttercup10305(X1058))) & ?[X1059: $i] : (k04_buttercup10303(X1059) & (~b48_buttercup10305(X1059))))) <=> (~(![X1058: $i] : (k04_buttercup10303(X1058) | (~b48_buttercup10305(X1058))) & ?[X1059: $i] : (k04_buttercup10303(X1059) & (~b48_buttercup10305(X1059)))))),
% 0.38/0.54 inference(rewrite,[status(thm)],[])).
% 0.38/0.54 tff(28,plain,
% 0.38/0.54 ((~(![X1058: $i] : (b48_buttercup10305(X1058) => k04_buttercup10303(X1058)) & ?[X1059: $i] : (k04_buttercup10303(X1059) & (~b48_buttercup10305(X1059))))) <=> (~(![X1058: $i] : (k04_buttercup10303(X1058) | (~b48_buttercup10305(X1058))) & ?[X1059: $i] : (k04_buttercup10303(X1059) & (~b48_buttercup10305(X1059)))))),
% 0.38/0.54 inference(rewrite,[status(thm)],[])).
% 0.38/0.54 tff(29,axiom,(~(((![X1055: $i] : (b48_buttercup10305(X1055) <=> k04_buttercup10303(X1055)) | (![X1056: $i] : (k04_buttercup10303(X1056) => b48_buttercup10305(X1056)) & ?[X1057: $i] : (b48_buttercup10305(X1057) & (~k04_buttercup10303(X1057))))) | (![X1058: $i] : (b48_buttercup10305(X1058) => k04_buttercup10303(X1058)) & ?[X1059: $i] : (k04_buttercup10303(X1059) & (~b48_buttercup10305(X1059))))) | ![X1060: $i] : (b48_buttercup10305(X1060) => (~k04_buttercup10303(X1060))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','goals_886')).
% 0.38/0.54 tff(30,plain,
% 0.38/0.54 (~((![X1055: $i] : (b48_buttercup10305(X1055) <=> k04_buttercup10303(X1055)) | (![X1056: $i] : (k04_buttercup10303(X1056) => b48_buttercup10305(X1056)) & ?[X1057: $i] : (b48_buttercup10305(X1057) & (~k04_buttercup10303(X1057))))) | (![X1058: $i] : (b48_buttercup10305(X1058) => k04_buttercup10303(X1058)) & ?[X1059: $i] : (k04_buttercup10303(X1059) & (~b48_buttercup10305(X1059)))))),
% 0.38/0.54 inference(or_elim,[status(thm)],[29])).
% 0.38/0.54 tff(31,plain,
% 0.38/0.54 (~(![X1058: $i] : (b48_buttercup10305(X1058) => k04_buttercup10303(X1058)) & ?[X1059: $i] : (k04_buttercup10303(X1059) & (~b48_buttercup10305(X1059))))),
% 0.38/0.54 inference(or_elim,[status(thm)],[30])).
% 0.38/0.54 tff(32,plain,
% 0.38/0.54 (~(![X1058: $i] : (k04_buttercup10303(X1058) | (~b48_buttercup10305(X1058))) & ?[X1059: $i] : (k04_buttercup10303(X1059) & (~b48_buttercup10305(X1059))))),
% 0.38/0.54 inference(modus_ponens,[status(thm)],[31, 28])).
% 0.38/0.54 tff(33,plain,
% 0.38/0.54 (~(![X1058: $i] : (k04_buttercup10303(X1058) | (~b48_buttercup10305(X1058))) & ?[X1059: $i] : (k04_buttercup10303(X1059) & (~b48_buttercup10305(X1059))))),
% 0.38/0.54 inference(modus_ponens,[status(thm)],[32, 26])).
% 0.38/0.54 tff(34,plain,
% 0.38/0.54 (~(![X1058: $i] : (k04_buttercup10303(X1058) | (~b48_buttercup10305(X1058))) & ?[X1059: $i] : (k04_buttercup10303(X1059) & (~b48_buttercup10305(X1059))))),
% 0.38/0.54 inference(modus_ponens,[status(thm)],[33, 27])).
% 0.38/0.54 tff(35,plain,
% 0.38/0.54 (~(![X1058: $i] : (k04_buttercup10303(X1058) | (~b48_buttercup10305(X1058))) & ?[X1059: $i] : (k04_buttercup10303(X1059) & (~b48_buttercup10305(X1059))))),
% 0.38/0.54 inference(modus_ponens,[status(thm)],[34, 26])).
% 0.38/0.54 unexpected number of arguments: (let ((a!1 (forall ((X1058 $i))
% 0.38/0.54 (or (k04_buttercup10303 X1058) (not (b48_buttercup10305 X1058)))))
% 0.38/0.54 (a!2 (not (or (k04_buttercup10303 X1058!512)
% 0.38/0.54 (not (b48_buttercup10305 X1058!512)))))
% 0.38/0.54 (a!3 (proof-bind (lambda ((X1059 $i))
% 0.38/0.54 (let ((a!1 (not (and (k04_buttercup10303 X1059)
% 0.38/0.54 (not (b48_buttercup10305 X1059))))))
% 0.38/0.54 (refl (~ a!1 a!1))))))
% 0.38/0.54 (a!4 (exists ((X1059 $i))
% 0.38/0.54 (and (k04_buttercup10303 X1059) (not (b48_buttercup10305 X1059)))))
% 0.38/0.54 (a!5 (forall ((X1059 $i))
% 0.38/0.54 (not (and (k04_buttercup10303 X1059)
% 0.38/0.54 (not (b48_buttercup10305 X1059)))))))
% 0.38/0.54 (nnf-neg (sk (~ (not a!1) a!2))
% 0.38/0.54 (nnf-neg a!3 (~ (not a!4) a!5))
% 0.38/0.54 (~ (not (and a!1 a!4)) (or a!2 a!5))))
% 0.38/0.54 Proof display could not be completed: unexpected number of arguments
% 0.40/0.56 % E exiting
%------------------------------------------------------------------------------