%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT049+1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 8 06:24:06 AM UTC 2026
% Result : Theorem 0.13s 0.39s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT049+1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.02 % Command : run_E %s %d THM
% 0.08/0.35 % Computer : n016.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 7 13:20:49 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.13/0.39 % SZS status Theorem
% 0.13/0.39 % SZS output start Proof
% 0.13/0.39 tff(position_type, type, (
% 0.13/0.39 position: ( $i * $i ) > $i)).
% 0.13/0.39 tff(tptp_fun_T0_1_type, type, (
% 0.13/0.39 tptp_fun_T0_1: $i)).
% 0.13/0.39 tff(tptp_fun_X_2_type, type, (
% 0.13/0.39 tptp_fun_X_2: $i)).
% 0.13/0.39 tff(tptp_fun_T_0_type, type, (
% 0.13/0.39 tptp_fun_T_0: $i)).
% 0.13/0.39 tff(external_ties_type, type, (
% 0.13/0.39 external_ties: ( $i * $i ) > $i)).
% 0.13/0.39 tff(greater_type, type, (
% 0.13/0.39 greater: ( $i * $i ) > $o)).
% 0.13/0.39 tff(organization_type, type, (
% 0.13/0.39 organization: $i > $o)).
% 0.13/0.39 tff(age_type, type, (
% 0.13/0.39 age: ( $i * $i ) > $i)).
% 0.13/0.39 tff(1,assumption,(~(external_ties(X!2, T!0) = external_ties(X!2, T0!1))), introduced(assumption)).
% 0.13/0.39 tff(2,plain,
% 0.13/0.39 ((~![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | (position(X, T) = position(X, T0)))) <=> (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | (position(X, T) = position(X, T0))))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(3,plain,
% 0.13/0.39 ((~![X: $i, T0: $i, T: $i] : ((organization(X) & greater(age(X, T), age(X, T0))) => (position(X, T) = position(X, T0)))) <=> (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | (position(X, T) = position(X, T0))))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(4,axiom,(~![X: $i, T0: $i, T: $i] : ((organization(X) & greater(age(X, T), age(X, T0))) => (position(X, T) = position(X, T0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lemma_6')).
% 0.13/0.39 tff(5,plain,
% 0.13/0.39 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | (position(X, T) = position(X, T0)))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.13/0.39 tff(6,plain,
% 0.13/0.39 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | (position(X, T) = position(X, T0)))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[5, 2])).
% 0.13/0.39 tff(7,plain,
% 0.13/0.39 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | (position(X, T) = position(X, T0)))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.13/0.39 tff(8,plain,
% 0.13/0.39 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | (position(X, T) = position(X, T0)))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[7, 2])).
% 0.13/0.39 tff(9,plain,(
% 0.13/0.39 ~((~(organization(X!2) & greater(age(X!2, T!0), age(X!2, T0!1)))) | (position(X!2, T!0) = position(X!2, T0!1)))),
% 0.13/0.39 inference(skolemize,[status(sab)],[8])).
% 0.13/0.39 tff(10,plain,
% 0.13/0.39 (organization(X!2) & greater(age(X!2, T!0), age(X!2, T0!1))),
% 0.13/0.39 inference(or_elim,[status(thm)],[9])).
% 0.13/0.39 tff(11,plain,
% 0.13/0.39 (organization(X!2)),
% 0.13/0.39 inference(and_elim,[status(thm)],[10])).
% 0.13/0.39 tff(12,plain,
% 0.13/0.39 (^[X: $i, T0: $i, T: $i] : refl(((~organization(X)) | (external_ties(X, T) = external_ties(X, T0))) <=> ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0))))),
% 0.13/0.39 inference(bind,[status(th)],[])).
% 0.13/0.39 tff(13,plain,
% 0.13/0.39 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))),
% 0.13/0.39 inference(quant_intro,[status(thm)],[12])).
% 0.13/0.39 tff(14,plain,
% 0.13/0.39 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(15,plain,
% 0.13/0.39 (^[X: $i, T0: $i, T: $i] : rewrite((organization(X) => (external_ties(X, T) = external_ties(X, T0))) <=> ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0))))),
% 0.13/0.39 inference(bind,[status(th)],[])).
% 0.13/0.39 tff(16,plain,
% 0.13/0.39 (![X: $i, T0: $i, T: $i] : (organization(X) => (external_ties(X, T) = external_ties(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))),
% 0.13/0.39 inference(quant_intro,[status(thm)],[15])).
% 0.13/0.39 tff(17,axiom,(![X: $i, T0: $i, T: $i] : (organization(X) => (external_ties(X, T) = external_ties(X, T0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_11')).
% 0.13/0.39 tff(18,plain,
% 0.13/0.39 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[17, 16])).
% 0.13/0.39 tff(19,plain,
% 0.13/0.39 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[18, 14])).
% 0.13/0.39 tff(20,plain,(
% 0.13/0.39 ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))),
% 0.13/0.39 inference(skolemize,[status(sab)],[19])).
% 0.13/0.39 tff(21,plain,
% 0.13/0.39 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[20, 13])).
% 0.13/0.39 tff(22,plain,
% 0.13/0.39 (((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))) | ((~organization(X!2)) | (external_ties(X!2, T!0) = external_ties(X!2, T0!1)))) <=> ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))) | (~organization(X!2)) | (external_ties(X!2, T!0) = external_ties(X!2, T0!1)))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(23,plain,
% 0.13/0.39 ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))) | ((~organization(X!2)) | (external_ties(X!2, T!0) = external_ties(X!2, T0!1)))),
% 0.13/0.39 inference(quant_inst,[status(thm)],[])).
% 0.13/0.39 tff(24,plain,
% 0.13/0.39 ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))) | (~organization(X!2)) | (external_ties(X!2, T!0) = external_ties(X!2, T0!1))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[23, 22])).
% 0.13/0.39 tff(25,plain,
% 0.13/0.39 ($false),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[24, 21, 11, 1])).
% 0.13/0.39 tff(26,plain,(external_ties(X!2, T!0) = external_ties(X!2, T0!1)), inference(lemma,lemma(discharge,[]))).
% 0.13/0.39 tff(27,plain,
% 0.13/0.39 (~(position(X!2, T!0) = position(X!2, T0!1))),
% 0.13/0.39 inference(or_elim,[status(thm)],[9])).
% 0.13/0.39 tff(28,plain,
% 0.13/0.39 ((~((~(external_ties(X!2, T!0) = external_ties(X!2, T0!1))) | (position(X!2, T!0) = position(X!2, T0!1)))) | (~(external_ties(X!2, T!0) = external_ties(X!2, T0!1))) | (position(X!2, T!0) = position(X!2, T0!1))),
% 0.13/0.39 inference(tautology,[status(thm)],[])).
% 0.13/0.39 tff(29,plain,
% 0.13/0.39 (~((~(external_ties(X!2, T!0) = external_ties(X!2, T0!1))) | (position(X!2, T!0) = position(X!2, T0!1)))),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[28, 27, 26])).
% 0.13/0.39 tff(30,plain,
% 0.13/0.39 (((~((~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))) | greater(position(X!2, T!0), position(X!2, T0!1)))) | (~((~(external_ties(X!2, T!0) = external_ties(X!2, T0!1))) | (position(X!2, T!0) = position(X!2, T0!1))))) | ((~(external_ties(X!2, T!0) = external_ties(X!2, T0!1))) | (position(X!2, T!0) = position(X!2, T0!1)))),
% 0.13/0.39 inference(tautology,[status(thm)],[])).
% 0.13/0.39 tff(31,plain,
% 0.13/0.39 ((~((~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))) | greater(position(X!2, T!0), position(X!2, T0!1)))) | (~((~(external_ties(X!2, T!0) = external_ties(X!2, T0!1))) | (position(X!2, T!0) = position(X!2, T0!1))))),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[30, 29])).
% 0.13/0.39 tff(32,plain,
% 0.13/0.39 (^[X: $i, T0: $i, T: $i] : refl(((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))))) <=> ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))))))),
% 0.13/0.39 inference(bind,[status(th)],[])).
% 0.13/0.39 tff(33,plain,
% 0.13/0.39 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))),
% 0.13/0.39 inference(quant_intro,[status(thm)],[32])).
% 0.13/0.39 tff(34,plain,
% 0.13/0.39 (^[X: $i, T0: $i, T: $i] : rewrite(((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))) <=> ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))))))),
% 0.13/0.39 inference(bind,[status(th)],[])).
% 0.13/0.39 tff(35,plain,
% 0.13/0.39 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))),
% 0.13/0.39 inference(quant_intro,[status(thm)],[34])).
% 0.13/0.39 tff(36,plain,
% 0.13/0.39 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(37,plain,
% 0.13/0.39 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(rewrite(((greater(external_ties(X, T), external_ties(X, T0)) => greater(position(X, T), position(X, T0))) & ((external_ties(X, T) = external_ties(X, T0)) => (position(X, T) = position(X, T0)))) <=> (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))), ((organization(X) => ((greater(external_ties(X, T), external_ties(X, T0)) => greater(position(X, T), position(X, T0))) & ((external_ties(X, T) = external_ties(X, T0)) => (position(X, T) = position(X, T0))))) <=> (organization(X) => (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))))), rewrite((organization(X) => (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))) <=> ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))), ((organization(X) => ((greater(external_ties(X, T), external_ties(X, T0)) => greater(position(X, T), position(X, T0))) & ((external_ties(X, T) = external_ties(X, T0)) => (position(X, T) = position(X, T0))))) <=> ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))),
% 0.13/0.39 inference(bind,[status(th)],[])).
% 0.13/0.39 tff(38,plain,
% 0.13/0.39 (![X: $i, T0: $i, T: $i] : (organization(X) => ((greater(external_ties(X, T), external_ties(X, T0)) => greater(position(X, T), position(X, T0))) & ((external_ties(X, T) = external_ties(X, T0)) => (position(X, T) = position(X, T0))))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))),
% 0.13/0.39 inference(quant_intro,[status(thm)],[37])).
% 0.13/0.39 tff(39,axiom,(![X: $i, T0: $i, T: $i] : (organization(X) => ((greater(external_ties(X, T), external_ties(X, T0)) => greater(position(X, T), position(X, T0))) & ((external_ties(X, T) = external_ties(X, T0)) => (position(X, T) = position(X, T0)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_6')).
% 0.13/0.40 tff(40,plain,
% 0.13/0.40 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[39, 38])).
% 0.13/0.40 tff(41,plain,
% 0.13/0.40 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[40, 36])).
% 0.13/0.40 tff(42,plain,(
% 0.13/0.40 ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))),
% 0.13/0.40 inference(skolemize,[status(sab)],[41])).
% 0.13/0.40 tff(43,plain,
% 0.13/0.40 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[42, 35])).
% 0.13/0.40 tff(44,plain,
% 0.13/0.40 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[43, 33])).
% 0.13/0.40 tff(45,plain,
% 0.13/0.40 (((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))) | ((~organization(X!2)) | (~((~((~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))) | greater(position(X!2, T!0), position(X!2, T0!1)))) | (~((~(external_ties(X!2, T!0) = external_ties(X!2, T0!1))) | (position(X!2, T!0) = position(X!2, T0!1)))))))) <=> ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))) | (~organization(X!2)) | (~((~((~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))) | greater(position(X!2, T!0), position(X!2, T0!1)))) | (~((~(external_ties(X!2, T!0) = external_ties(X!2, T0!1))) | (position(X!2, T!0) = position(X!2, T0!1)))))))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(46,plain,
% 0.13/0.40 ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))) | ((~organization(X!2)) | (~((~((~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))) | greater(position(X!2, T!0), position(X!2, T0!1)))) | (~((~(external_ties(X!2, T!0) = external_ties(X!2, T0!1))) | (position(X!2, T!0) = position(X!2, T0!1)))))))),
% 0.13/0.40 inference(quant_inst,[status(thm)],[])).
% 0.13/0.40 tff(47,plain,
% 0.13/0.40 ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))) | (~organization(X!2)) | (~((~((~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))) | greater(position(X!2, T!0), position(X!2, T0!1)))) | (~((~(external_ties(X!2, T!0) = external_ties(X!2, T0!1))) | (position(X!2, T!0) = position(X!2, T0!1))))))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[46, 45])).
% 0.13/0.40 tff(48,plain,
% 0.13/0.40 ($false),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[47, 44, 11, 31])).
% 0.13/0.40 % SZS output end Proof
% 0.13/0.40 % E exiting
%------------------------------------------------------------------------------