%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SET073+1 : TPTP v9.0.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n012.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 05:25:06 AM UTC 2025
% Result : Theorem 11.36s 11.54s
% Output : Proof 11.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET073+1 : TPTP v9.0.0. Bugfixed v5.4.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n012.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 04:11:55 EDT 2025
% 0.12/0.34 % CPUTime :
% 11.36/11.54 % SZS status Theorem
% 11.36/11.54 % SZS output start Proof
% 11.36/11.54 tff(member_type, type, (
% 11.36/11.54 member: ( $i * $i ) > $o)).
% 11.36/11.54 tff(unordered_pair_type, type, (
% 11.36/11.54 unordered_pair: ( $i * $i ) > $i)).
% 11.36/11.54 tff(tptp_fun_Y_7_type, type, (
% 11.36/11.54 tptp_fun_Y_7: $i)).
% 11.36/11.54 tff(tptp_fun_X_8_type, type, (
% 11.36/11.54 tptp_fun_X_8: $i)).
% 11.36/11.54 tff(null_class_type, type, (
% 11.36/11.54 null_class: $i)).
% 11.36/11.54 tff(universal_class_type, type, (
% 11.36/11.54 universal_class: $i)).
% 11.36/11.54 tff(1,plain,
% 11.36/11.54 ((~![X: $i, Y: $i] : ((~member(X, universal_class)) | (~(unordered_pair(X, Y) = null_class)))) <=> (~![X: $i, Y: $i] : ((~member(X, universal_class)) | (~(unordered_pair(X, Y) = null_class))))),
% 11.36/11.54 inference(rewrite,[status(thm)],[])).
% 11.36/11.54 tff(2,plain,
% 11.36/11.54 ((~![X: $i, Y: $i] : (member(X, universal_class) => (~(unordered_pair(X, Y) = null_class)))) <=> (~![X: $i, Y: $i] : ((~member(X, universal_class)) | (~(unordered_pair(X, Y) = null_class))))),
% 11.36/11.54 inference(rewrite,[status(thm)],[])).
% 11.36/11.54 tff(3,axiom,(~![X: $i, Y: $i] : (member(X, universal_class) => (~(unordered_pair(X, Y) = null_class)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','corollary1_1')).
% 11.36/11.54 tff(4,plain,
% 11.36/11.54 (~![X: $i, Y: $i] : ((~member(X, universal_class)) | (~(unordered_pair(X, Y) = null_class)))),
% 11.36/11.54 inference(modus_ponens,[status(thm)],[3, 2])).
% 11.36/11.54 tff(5,plain,
% 11.36/11.54 (~![X: $i, Y: $i] : ((~member(X, universal_class)) | (~(unordered_pair(X, Y) = null_class)))),
% 11.36/11.54 inference(modus_ponens,[status(thm)],[4, 1])).
% 11.36/11.54 tff(6,plain,
% 11.36/11.54 (~![X: $i, Y: $i] : ((~member(X, universal_class)) | (~(unordered_pair(X, Y) = null_class)))),
% 11.36/11.54 inference(modus_ponens,[status(thm)],[5, 1])).
% 11.36/11.54 tff(7,plain,
% 11.36/11.54 (~![X: $i, Y: $i] : ((~member(X, universal_class)) | (~(unordered_pair(X, Y) = null_class)))),
% 11.36/11.54 inference(modus_ponens,[status(thm)],[6, 1])).
% 11.36/11.54 tff(8,plain,(
% 11.36/11.54 ~((~member(X!8, universal_class)) | (~(unordered_pair(X!8, Y!7) = null_class)))),
% 11.36/11.54 inference(skolemize,[status(sab)],[7])).
% 11.36/11.54 tff(9,plain,
% 11.36/11.54 (unordered_pair(X!8, Y!7) = null_class),
% 11.36/11.54 inference(or_elim,[status(thm)],[8])).
% 11.36/11.54 tff(10,plain,
% 11.36/11.54 (member(X!8, unordered_pair(X!8, Y!7)) <=> member(X!8, null_class)),
% 11.36/11.54 inference(monotonicity,[status(thm)],[9])).
% 11.36/11.54 tff(11,plain,
% 11.36/11.54 (member(X!8, null_class) <=> member(X!8, unordered_pair(X!8, Y!7))),
% 11.36/11.54 inference(symmetry,[status(thm)],[10])).
% 11.36/11.54 tff(12,plain,
% 11.36/11.54 ((~member(X!8, null_class)) <=> (~member(X!8, unordered_pair(X!8, Y!7)))),
% 11.36/11.54 inference(monotonicity,[status(thm)],[11])).
% 11.36/11.54 tff(13,assumption,(member(X!8, null_class)), introduced(assumption)).
% 11.36/11.54 tff(14,plain,
% 11.36/11.54 (^[X: $i] : refl((~member(X, null_class)) <=> (~member(X, null_class)))),
% 11.36/11.54 inference(bind,[status(th)],[])).
% 11.36/11.54 tff(15,plain,
% 11.36/11.54 (![X: $i] : (~member(X, null_class)) <=> ![X: $i] : (~member(X, null_class))),
% 11.36/11.54 inference(quant_intro,[status(thm)],[14])).
% 11.36/11.54 tff(16,plain,
% 11.36/11.54 (![X: $i] : (~member(X, null_class)) <=> ![X: $i] : (~member(X, null_class))),
% 11.36/11.54 inference(rewrite,[status(thm)],[])).
% 11.36/11.54 tff(17,axiom,(![X: $i] : (~member(X, null_class))), file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax','null_class_defn')).
% 11.36/11.54 tff(18,plain,
% 11.36/11.54 (![X: $i] : (~member(X, null_class))),
% 11.36/11.54 inference(modus_ponens,[status(thm)],[17, 16])).
% 11.36/11.54 tff(19,plain,(
% 11.36/11.54 ![X: $i] : (~member(X, null_class))),
% 11.36/11.54 inference(skolemize,[status(sab)],[18])).
% 11.36/11.54 tff(20,plain,
% 11.36/11.54 (![X: $i] : (~member(X, null_class))),
% 11.36/11.54 inference(modus_ponens,[status(thm)],[19, 15])).
% 11.36/11.54 tff(21,plain,
% 11.36/11.54 ((~![X: $i] : (~member(X, null_class))) | (~member(X!8, null_class))),
% 11.36/11.54 inference(quant_inst,[status(thm)],[])).
% 11.36/11.54 tff(22,plain,
% 11.36/11.54 ($false),
% 11.36/11.54 inference(unit_resolution,[status(thm)],[21, 20, 13])).
% 11.36/11.54 tff(23,plain,(~member(X!8, null_class)), inference(lemma,lemma(discharge,[]))).
% 11.36/11.54 tff(24,plain,
% 11.36/11.54 (~member(X!8, unordered_pair(X!8, Y!7))),
% 11.36/11.54 inference(modus_ponens,[status(thm)],[23, 12])).
% 11.36/11.54 tff(25,plain,
% 11.36/11.54 (^[U: $i, X: $i, Y: $i] : refl((~(((~member(U, universal_class)) | (~((U = Y) | (U = X)))) <=> member(U, unordered_pair(X, Y)))) <=> (~(((~member(U, universal_class)) | (~((U = Y) | (U = X)))) <=> member(U, unordered_pair(X, Y)))))),
% 11.36/11.54 inference(bind,[status(th)],[])).
% 11.36/11.54 tff(26,plain,
% 11.36/11.54 (![U: $i, X: $i, Y: $i] : (~(((~member(U, universal_class)) | (~((U = Y) | (U = X)))) <=> member(U, unordered_pair(X, Y)))) <=> ![U: $i, X: $i, Y: $i] : (~(((~member(U, universal_class)) | (~((U = Y) | (U = X)))) <=> member(U, unordered_pair(X, Y))))),
% 11.36/11.54 inference(quant_intro,[status(thm)],[25])).
% 11.36/11.54 tff(27,plain,
% 11.36/11.54 (^[U: $i, X: $i, Y: $i] : trans(trans(monotonicity(rewrite((member(U, universal_class) & ((U = Y) | (U = X))) <=> (~((~member(U, universal_class)) | (~((U = Y) | (U = X)))))), ((member(U, unordered_pair(X, Y)) <=> (member(U, universal_class) & ((U = Y) | (U = X)))) <=> (member(U, unordered_pair(X, Y)) <=> (~((~member(U, universal_class)) | (~((U = Y) | (U = X)))))))), rewrite((member(U, unordered_pair(X, Y)) <=> (~((~member(U, universal_class)) | (~((U = Y) | (U = X)))))) <=> (~(((~member(U, universal_class)) | (~((U = Y) | (U = X)))) <=> member(U, unordered_pair(X, Y))))), ((member(U, unordered_pair(X, Y)) <=> (member(U, universal_class) & ((U = Y) | (U = X)))) <=> (~(((~member(U, universal_class)) | (~((U = Y) | (U = X)))) <=> member(U, unordered_pair(X, Y)))))), rewrite((~(((~member(U, universal_class)) | (~((U = Y) | (U = X)))) <=> member(U, unordered_pair(X, Y)))) <=> (~(((~member(U, universal_class)) | (~((U = Y) | (U = X)))) <=> member(U, unordered_pair(X, Y))))), ((member(U, unordered_pair(X, Y)) <=> (member(U, universal_class) & ((U = Y) | (U = X)))) <=> (~(((~member(U, universal_class)) | (~((U = Y) | (U = X)))) <=> member(U, unordered_pair(X, Y))))))),
% 11.36/11.54 inference(bind,[status(th)],[])).
% 11.36/11.54 tff(28,plain,
% 11.36/11.54 (![U: $i, X: $i, Y: $i] : (member(U, unordered_pair(X, Y)) <=> (member(U, universal_class) & ((U = Y) | (U = X)))) <=> ![U: $i, X: $i, Y: $i] : (~(((~member(U, universal_class)) | (~((U = Y) | (U = X)))) <=> member(U, unordered_pair(X, Y))))),
% 11.36/11.54 inference(quant_intro,[status(thm)],[27])).
% 11.36/11.54 tff(29,plain,
% 11.36/11.54 (![U: $i, X: $i, Y: $i] : (member(U, unordered_pair(X, Y)) <=> (member(U, universal_class) & ((U = Y) | (U = X)))) <=> ![U: $i, X: $i, Y: $i] : (member(U, unordered_pair(X, Y)) <=> (member(U, universal_class) & ((U = Y) | (U = X))))),
% 11.36/11.54 inference(rewrite,[status(thm)],[])).
% 11.36/11.54 tff(30,plain,
% 11.36/11.54 (^[U: $i, X: $i, Y: $i] : rewrite((member(U, unordered_pair(X, Y)) <=> (member(U, universal_class) & ((U = X) | (U = Y)))) <=> (member(U, unordered_pair(X, Y)) <=> (member(U, universal_class) & ((U = Y) | (U = X)))))),
% 11.36/11.54 inference(bind,[status(th)],[])).
% 11.36/11.54 tff(31,plain,
% 11.36/11.54 (![U: $i, X: $i, Y: $i] : (member(U, unordered_pair(X, Y)) <=> (member(U, universal_class) & ((U = X) | (U = Y)))) <=> ![U: $i, X: $i, Y: $i] : (member(U, unordered_pair(X, Y)) <=> (member(U, universal_class) & ((U = Y) | (U = X))))),
% 11.36/11.54 inference(quant_intro,[status(thm)],[30])).
% 11.36/11.54 tff(32,axiom,(![U: $i, X: $i, Y: $i] : (member(U, unordered_pair(X, Y)) <=> (member(U, universal_class) & ((U = X) | (U = Y))))), file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax','unordered_pair_defn')).
% 11.36/11.54 tff(33,plain,
% 11.36/11.54 (![U: $i, X: $i, Y: $i] : (member(U, unordered_pair(X, Y)) <=> (member(U, universal_class) & ((U = Y) | (U = X))))),
% 11.36/11.54 inference(modus_ponens,[status(thm)],[32, 31])).
% 11.36/11.54 tff(34,plain,
% 11.36/11.54 (![U: $i, X: $i, Y: $i] : (member(U, unordered_pair(X, Y)) <=> (member(U, universal_class) & ((U = Y) | (U = X))))),
% 11.36/11.54 inference(modus_ponens,[status(thm)],[33, 29])).
% 11.36/11.54 tff(35,plain,(
% 11.36/11.54 ![U: $i, X: $i, Y: $i] : (member(U, unordered_pair(X, Y)) <=> (member(U, universal_class) & ((U = Y) | (U = X))))),
% 11.36/11.54 inference(skolemize,[status(sab)],[34])).
% 11.36/11.54 tff(36,plain,
% 11.36/11.54 (![U: $i, X: $i, Y: $i] : (~(((~member(U, universal_class)) | (~((U = Y) | (U = X)))) <=> member(U, unordered_pair(X, Y))))),
% 11.36/11.54 inference(modus_ponens,[status(thm)],[35, 28])).
% 11.36/11.54 tff(37,plain,
% 11.36/11.54 (![U: $i, X: $i, Y: $i] : (~(((~member(U, universal_class)) | (~((U = Y) | (U = X)))) <=> member(U, unordered_pair(X, Y))))),
% 11.36/11.54 inference(modus_ponens,[status(thm)],[36, 26])).
% 11.36/11.54 tff(38,plain,
% 11.36/11.54 (((~![U: $i, X: $i, Y: $i] : (~(((~member(U, universal_class)) | (~((U = Y) | (U = X)))) <=> member(U, unordered_pair(X, Y))))) | (member(X!8, universal_class) <=> member(X!8, unordered_pair(X!8, Y!7)))) <=> ((~![U: $i, X: $i, Y: $i] : (~(((~member(U, universal_class)) | (~((U = Y) | (U = X)))) <=> member(U, unordered_pair(X, Y))))) | (member(X!8, universal_class) <=> member(X!8, unordered_pair(X!8, Y!7))))),
% 11.36/11.54 inference(rewrite,[status(thm)],[])).
% 11.36/11.54 tff(39,plain,
% 11.36/11.54 ((~(~(member(X!8, universal_class) <=> member(X!8, unordered_pair(X!8, Y!7))))) <=> (member(X!8, universal_class) <=> member(X!8, unordered_pair(X!8, Y!7)))),
% 11.36/11.54 inference(rewrite,[status(thm)],[])).
% 11.36/11.54 tff(40,plain,
% 11.36/11.54 ((~(member(X!8, universal_class) <=> member(X!8, unordered_pair(X!8, Y!7)))) <=> (~(member(X!8, universal_class) <=> member(X!8, unordered_pair(X!8, Y!7))))),
% 11.36/11.54 inference(rewrite,[status(thm)],[])).
% 11.36/11.54 tff(41,plain,
% 11.36/11.54 (((~member(X!8, universal_class)) <=> member(X!8, unordered_pair(X!8, Y!7))) <=> (~(member(X!8, universal_class) <=> member(X!8, unordered_pair(X!8, Y!7))))),
% 11.36/11.54 inference(rewrite,[status(thm)],[])).
% 11.36/11.54 tff(42,plain,
% 11.36/11.54 (((~member(X!8, universal_class)) | $false) <=> (~member(X!8, universal_class))),
% 11.36/11.54 inference(rewrite,[status(thm)],[])).
% 11.36/11.54 tff(43,plain,
% 11.36/11.54 ((~$true) <=> $false),
% 11.36/11.54 inference(rewrite,[status(thm)],[])).
% 11.36/11.54 tff(44,plain,
% 11.36/11.54 (((X!8 = Y!7) | $true) <=> $true),
% 11.36/11.54 inference(rewrite,[status(thm)],[])).
% 11.36/11.54 tff(45,plain,
% 11.36/11.54 ((X!8 = X!8) <=> $true),
% 11.36/11.54 inference(rewrite,[status(thm)],[])).
% 11.36/11.54 tff(46,plain,
% 11.36/11.54 (((X!8 = Y!7) | (X!8 = X!8)) <=> ((X!8 = Y!7) | $true)),
% 11.36/11.54 inference(monotonicity,[status(thm)],[45])).
% 11.36/11.54 tff(47,plain,
% 11.36/11.54 (((X!8 = Y!7) | (X!8 = X!8)) <=> $true),
% 11.36/11.54 inference(transitivity,[status(thm)],[46, 44])).
% 11.36/11.54 tff(48,plain,
% 11.36/11.54 ((~((X!8 = Y!7) | (X!8 = X!8))) <=> (~$true)),
% 11.36/11.54 inference(monotonicity,[status(thm)],[47])).
% 11.36/11.54 tff(49,plain,
% 11.36/11.54 ((~((X!8 = Y!7) | (X!8 = X!8))) <=> $false),
% 11.36/11.54 inference(transitivity,[status(thm)],[48, 43])).
% 11.36/11.54 tff(50,plain,
% 11.36/11.54 (((~member(X!8, universal_class)) | (~((X!8 = Y!7) | (X!8 = X!8)))) <=> ((~member(X!8, universal_class)) | $false)),
% 11.36/11.54 inference(monotonicity,[status(thm)],[49])).
% 11.36/11.54 tff(51,plain,
% 11.36/11.54 (((~member(X!8, universal_class)) | (~((X!8 = Y!7) | (X!8 = X!8)))) <=> (~member(X!8, universal_class))),
% 11.36/11.54 inference(transitivity,[status(thm)],[50, 42])).
% 11.36/11.54 tff(52,plain,
% 11.36/11.54 ((((~member(X!8, universal_class)) | (~((X!8 = Y!7) | (X!8 = X!8)))) <=> member(X!8, unordered_pair(X!8, Y!7))) <=> ((~member(X!8, universal_class)) <=> member(X!8, unordered_pair(X!8, Y!7)))),
% 11.36/11.54 inference(monotonicity,[status(thm)],[51])).
% 11.36/11.54 tff(53,plain,
% 11.36/11.54 ((((~member(X!8, universal_class)) | (~((X!8 = Y!7) | (X!8 = X!8)))) <=> member(X!8, unordered_pair(X!8, Y!7))) <=> (~(member(X!8, universal_class) <=> member(X!8, unordered_pair(X!8, Y!7))))),
% 11.36/11.54 inference(transitivity,[status(thm)],[52, 41])).
% 11.36/11.54 tff(54,plain,
% 11.36/11.54 ((((~member(X!8, universal_class)) | (~((X!8 = Y!7) | (X!8 = X!8)))) <=> member(X!8, unordered_pair(X!8, Y!7))) <=> (~(member(X!8, universal_class) <=> member(X!8, unordered_pair(X!8, Y!7))))),
% 11.36/11.54 inference(transitivity,[status(thm)],[53, 40])).
% 11.36/11.54 tff(55,plain,
% 11.36/11.54 ((~(((~member(X!8, universal_class)) | (~((X!8 = Y!7) | (X!8 = X!8)))) <=> member(X!8, unordered_pair(X!8, Y!7)))) <=> (~(~(member(X!8, universal_class) <=> member(X!8, unordered_pair(X!8, Y!7)))))),
% 11.36/11.54 inference(monotonicity,[status(thm)],[54])).
% 11.36/11.54 tff(56,plain,
% 11.36/11.54 ((~(((~member(X!8, universal_class)) | (~((X!8 = Y!7) | (X!8 = X!8)))) <=> member(X!8, unordered_pair(X!8, Y!7)))) <=> (member(X!8, universal_class) <=> member(X!8, unordered_pair(X!8, Y!7)))),
% 11.36/11.54 inference(transitivity,[status(thm)],[55, 39])).
% 11.36/11.54 tff(57,plain,
% 11.36/11.54 (((~![U: $i, X: $i, Y: $i] : (~(((~member(U, universal_class)) | (~((U = Y) | (U = X)))) <=> member(U, unordered_pair(X, Y))))) | (~(((~member(X!8, universal_class)) | (~((X!8 = Y!7) | (X!8 = X!8)))) <=> member(X!8, unordered_pair(X!8, Y!7))))) <=> ((~![U: $i, X: $i, Y: $i] : (~(((~member(U, universal_class)) | (~((U = Y) | (U = X)))) <=> member(U, unordered_pair(X, Y))))) | (member(X!8, universal_class) <=> member(X!8, unordered_pair(X!8, Y!7))))),
% 11.36/11.54 inference(monotonicity,[status(thm)],[56])).
% 11.36/11.54 tff(58,plain,
% 11.36/11.54 (((~![U: $i, X: $i, Y: $i] : (~(((~member(U, universal_class)) | (~((U = Y) | (U = X)))) <=> member(U, unordered_pair(X, Y))))) | (~(((~member(X!8, universal_class)) | (~((X!8 = Y!7) | (X!8 = X!8)))) <=> member(X!8, unordered_pair(X!8, Y!7))))) <=> ((~![U: $i, X: $i, Y: $i] : (~(((~member(U, universal_class)) | (~((U = Y) | (U = X)))) <=> member(U, unordered_pair(X, Y))))) | (member(X!8, universal_class) <=> member(X!8, unordered_pair(X!8, Y!7))))),
% 11.38/11.55 inference(transitivity,[status(thm)],[57, 38])).
% 11.38/11.55 tff(59,plain,
% 11.38/11.55 ((~![U: $i, X: $i, Y: $i] : (~(((~member(U, universal_class)) | (~((U = Y) | (U = X)))) <=> member(U, unordered_pair(X, Y))))) | (~(((~member(X!8, universal_class)) | (~((X!8 = Y!7) | (X!8 = X!8)))) <=> member(X!8, unordered_pair(X!8, Y!7))))),
% 11.38/11.55 inference(quant_inst,[status(thm)],[])).
% 11.38/11.55 tff(60,plain,
% 11.38/11.55 ((~![U: $i, X: $i, Y: $i] : (~(((~member(U, universal_class)) | (~((U = Y) | (U = X)))) <=> member(U, unordered_pair(X, Y))))) | (member(X!8, universal_class) <=> member(X!8, unordered_pair(X!8, Y!7)))),
% 11.38/11.55 inference(modus_ponens,[status(thm)],[59, 58])).
% 11.38/11.55 tff(61,plain,
% 11.38/11.55 (member(X!8, universal_class) <=> member(X!8, unordered_pair(X!8, Y!7))),
% 11.38/11.55 inference(unit_resolution,[status(thm)],[60, 37])).
% 11.38/11.55 tff(62,plain,
% 11.38/11.55 (member(X!8, universal_class)),
% 11.38/11.55 inference(or_elim,[status(thm)],[8])).
% 11.38/11.55 tff(63,plain,
% 11.38/11.55 ((~(member(X!8, universal_class) <=> member(X!8, unordered_pair(X!8, Y!7)))) | (~member(X!8, universal_class)) | member(X!8, unordered_pair(X!8, Y!7))),
% 11.38/11.55 inference(tautology,[status(thm)],[])).
% 11.38/11.55 tff(64,plain,
% 11.38/11.55 ((~(member(X!8, universal_class) <=> member(X!8, unordered_pair(X!8, Y!7)))) | member(X!8, unordered_pair(X!8, Y!7))),
% 11.38/11.55 inference(unit_resolution,[status(thm)],[63, 62])).
% 11.38/11.55 tff(65,plain,
% 11.38/11.55 (member(X!8, unordered_pair(X!8, Y!7))),
% 11.38/11.55 inference(unit_resolution,[status(thm)],[64, 61])).
% 11.38/11.55 tff(66,plain,
% 11.38/11.55 ($false),
% 11.38/11.55 inference(unit_resolution,[status(thm)],[65, 24])).
% 11.38/11.55 % SZS output end Proof
% 11.38/11.56 % E exiting
%------------------------------------------------------------------------------