%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT053+1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n029.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 06:24:07 AM UTC 2026
% Result : Theorem 0.13s 0.40s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT053+1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.03 % Command : run_E %s %d THM
% 0.08/0.34 % Computer : n029.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 7 13:25:43 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.13/0.40 % SZS status Theorem
% 0.13/0.40 % SZS output start Proof
% 0.13/0.40 tff(is_aligned_type, type, (
% 0.13/0.40 is_aligned: ( $i * $i ) > $o)).
% 0.13/0.40 tff(tptp_fun_T2_0_type, type, (
% 0.13/0.40 tptp_fun_T2_0: $i)).
% 0.13/0.40 tff(tptp_fun_X_2_type, type, (
% 0.13/0.40 tptp_fun_X_2: $i)).
% 0.13/0.40 tff(tptp_fun_T1_1_type, type, (
% 0.13/0.40 tptp_fun_T1_1: $i)).
% 0.13/0.40 tff(organization_type, type, (
% 0.13/0.40 organization: $i > $o)).
% 0.13/0.40 tff(dissimilar_type, type, (
% 0.13/0.40 dissimilar: ( $i * $i * $i ) > $o)).
% 0.13/0.40 tff(1,assumption,(~dissimilar(X!2, T2!0, T1!1)), introduced(assumption)).
% 0.13/0.40 tff(2,plain,
% 0.13/0.40 (^[X: $i, T0: $i, T: $i] : refl((~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T))) <=> (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T))))),
% 0.13/0.40 inference(bind,[status(th)],[])).
% 0.13/0.40 tff(3,plain,
% 0.13/0.40 (![X: $i, T0: $i, T: $i] : (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T))) <=> ![X: $i, T0: $i, T: $i] : (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T)))),
% 0.13/0.40 inference(quant_intro,[status(thm)],[2])).
% 0.13/0.40 tff(4,plain,
% 0.13/0.40 (^[X: $i, T0: $i, T: $i] : trans(trans(monotonicity(trans(monotonicity(rewrite((~(is_aligned(X, T0) <=> is_aligned(X, T))) <=> (~(is_aligned(X, T0) <=> is_aligned(X, T)))), ((organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T)))) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T)))))), rewrite((organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T)))) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))))), ((organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T)))) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T)))))), ((dissimilar(X, T0, T) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T))))) <=> (dissimilar(X, T0, T) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))))))), rewrite((dissimilar(X, T0, T) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))))) <=> (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T)))), ((dissimilar(X, T0, T) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T))))) <=> (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T))))), rewrite((~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T))) <=> (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T)))), ((dissimilar(X, T0, T) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T))))) <=> (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T)))))),
% 0.13/0.40 inference(bind,[status(th)],[])).
% 0.13/0.40 tff(5,plain,
% 0.13/0.40 (![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T))))) <=> ![X: $i, T0: $i, T: $i] : (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T)))),
% 0.13/0.40 inference(quant_intro,[status(thm)],[4])).
% 0.13/0.40 tff(6,plain,
% 0.13/0.40 (![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T))))) <=> ![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T)))))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(7,axiom,(![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','definition_2')).
% 0.13/0.40 tff(8,plain,
% 0.13/0.40 (![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T)))))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.13/0.40 tff(9,plain,(
% 0.13/0.40 ![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T)))))),
% 0.13/0.40 inference(skolemize,[status(sab)],[8])).
% 0.13/0.40 tff(10,plain,
% 0.13/0.40 (![X: $i, T0: $i, T: $i] : (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T)))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[9, 5])).
% 0.13/0.40 tff(11,plain,
% 0.13/0.40 (![X: $i, T0: $i, T: $i] : (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T)))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[10, 3])).
% 0.13/0.41 tff(12,plain,
% 0.13/0.41 ((~![X: $i, T0: $i, T: $i] : (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T)))) | (~(((~organization(X!2)) | (is_aligned(X!2, T2!0) <=> is_aligned(X!2, T1!1))) <=> dissimilar(X!2, T2!0, T1!1)))),
% 0.13/0.41 inference(quant_inst,[status(thm)],[])).
% 0.13/0.41 tff(13,plain,
% 0.13/0.41 (~(((~organization(X!2)) | (is_aligned(X!2, T2!0) <=> is_aligned(X!2, T1!1))) <=> dissimilar(X!2, T2!0, T1!1))),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[12, 11])).
% 0.13/0.41 tff(14,plain,
% 0.13/0.41 ((((~organization(X!2)) | (is_aligned(X!2, T2!0) <=> is_aligned(X!2, T1!1))) <=> dissimilar(X!2, T2!0, T1!1)) | ((~organization(X!2)) | (is_aligned(X!2, T2!0) <=> is_aligned(X!2, T1!1))) | dissimilar(X!2, T2!0, T1!1)),
% 0.13/0.41 inference(tautology,[status(thm)],[])).
% 0.13/0.41 tff(15,plain,
% 0.13/0.41 (((~organization(X!2)) | (is_aligned(X!2, T2!0) <=> is_aligned(X!2, T1!1))) | dissimilar(X!2, T2!0, T1!1)),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[14, 13])).
% 0.13/0.41 tff(16,plain,
% 0.13/0.41 ((~organization(X!2)) | (is_aligned(X!2, T2!0) <=> is_aligned(X!2, T1!1))),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[15, 1])).
% 0.13/0.41 tff(17,plain,
% 0.13/0.41 ((~(dissimilar(X!2, T1!1, T2!0) <=> dissimilar(X!2, T2!0, T1!1))) <=> (~(dissimilar(X!2, T1!1, T2!0) <=> dissimilar(X!2, T2!0, T1!1)))),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(18,plain,
% 0.13/0.41 ((~![X: $i, T1: $i, T2: $i] : (dissimilar(X, T1, T2) <=> dissimilar(X, T2, T1))) <=> (~![X: $i, T1: $i, T2: $i] : (dissimilar(X, T1, T2) <=> dissimilar(X, T2, T1)))),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(19,axiom,(~![X: $i, T1: $i, T2: $i] : (dissimilar(X, T1, T2) <=> dissimilar(X, T2, T1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','lemma_7')).
% 0.13/0.41 tff(20,plain,
% 0.13/0.41 (~![X: $i, T1: $i, T2: $i] : (dissimilar(X, T1, T2) <=> dissimilar(X, T2, T1))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[19, 18])).
% 0.13/0.41 tff(21,plain,
% 0.13/0.41 (~![X: $i, T1: $i, T2: $i] : (dissimilar(X, T1, T2) <=> dissimilar(X, T2, T1))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[20, 18])).
% 0.13/0.41 tff(22,plain,
% 0.13/0.41 (~![X: $i, T1: $i, T2: $i] : (dissimilar(X, T1, T2) <=> dissimilar(X, T2, T1))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[21, 18])).
% 0.13/0.41 tff(23,plain,
% 0.13/0.41 (~![X: $i, T1: $i, T2: $i] : (dissimilar(X, T1, T2) <=> dissimilar(X, T2, T1))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[22, 18])).
% 0.13/0.41 tff(24,plain,(
% 0.13/0.41 ~(dissimilar(X!2, T1!1, T2!0) <=> dissimilar(X!2, T2!0, T1!1))),
% 0.13/0.41 inference(skolemize,[status(sab)],[23])).
% 0.13/0.41 tff(25,plain,
% 0.13/0.41 (~(dissimilar(X!2, T1!1, T2!0) <=> dissimilar(X!2, T2!0, T1!1))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[24, 17])).
% 0.13/0.41 tff(26,plain,
% 0.13/0.41 ((dissimilar(X!2, T1!1, T2!0) <=> dissimilar(X!2, T2!0, T1!1)) | dissimilar(X!2, T1!1, T2!0) | dissimilar(X!2, T2!0, T1!1)),
% 0.13/0.41 inference(tautology,[status(thm)],[])).
% 0.13/0.41 tff(27,plain,
% 0.13/0.41 (dissimilar(X!2, T1!1, T2!0) | dissimilar(X!2, T2!0, T1!1)),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[26, 25])).
% 0.13/0.41 tff(28,plain,
% 0.13/0.41 (dissimilar(X!2, T1!1, T2!0)),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[27, 1])).
% 0.13/0.41 tff(29,plain,
% 0.13/0.41 ((~![X: $i, T0: $i, T: $i] : (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T)))) | (~(((~organization(X!2)) | (is_aligned(X!2, T1!1) <=> is_aligned(X!2, T2!0))) <=> dissimilar(X!2, T1!1, T2!0)))),
% 0.13/0.41 inference(quant_inst,[status(thm)],[])).
% 0.13/0.41 tff(30,plain,
% 0.13/0.41 (~(((~organization(X!2)) | (is_aligned(X!2, T1!1) <=> is_aligned(X!2, T2!0))) <=> dissimilar(X!2, T1!1, T2!0))),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[29, 11])).
% 0.13/0.41 tff(31,plain,
% 0.13/0.41 ((((~organization(X!2)) | (is_aligned(X!2, T1!1) <=> is_aligned(X!2, T2!0))) <=> dissimilar(X!2, T1!1, T2!0)) | (~((~organization(X!2)) | (is_aligned(X!2, T1!1) <=> is_aligned(X!2, T2!0)))) | (~dissimilar(X!2, T1!1, T2!0))),
% 0.13/0.41 inference(tautology,[status(thm)],[])).
% 0.13/0.41 tff(32,plain,
% 0.13/0.41 ((~((~organization(X!2)) | (is_aligned(X!2, T1!1) <=> is_aligned(X!2, T2!0)))) | (~dissimilar(X!2, T1!1, T2!0))),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[31, 30])).
% 0.13/0.41 tff(33,plain,
% 0.13/0.41 (~((~organization(X!2)) | (is_aligned(X!2, T1!1) <=> is_aligned(X!2, T2!0)))),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[32, 28])).
% 0.13/0.41 tff(34,plain,
% 0.13/0.41 (((~organization(X!2)) | (is_aligned(X!2, T1!1) <=> is_aligned(X!2, T2!0))) | organization(X!2)),
% 0.13/0.41 inference(tautology,[status(thm)],[])).
% 0.13/0.41 tff(35,plain,
% 0.13/0.41 (organization(X!2)),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[34, 33])).
% 0.13/0.41 tff(36,plain,
% 0.13/0.41 ((~((~organization(X!2)) | (is_aligned(X!2, T2!0) <=> is_aligned(X!2, T1!1)))) | (~organization(X!2)) | (is_aligned(X!2, T2!0) <=> is_aligned(X!2, T1!1))),
% 0.13/0.41 inference(tautology,[status(thm)],[])).
% 0.13/0.41 tff(37,plain,
% 0.13/0.41 (is_aligned(X!2, T2!0) <=> is_aligned(X!2, T1!1)),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[36, 35, 16])).
% 0.13/0.41 tff(38,plain,
% 0.13/0.41 (((~organization(X!2)) | (is_aligned(X!2, T1!1) <=> is_aligned(X!2, T2!0))) | (~(is_aligned(X!2, T1!1) <=> is_aligned(X!2, T2!0)))),
% 0.13/0.41 inference(tautology,[status(thm)],[])).
% 0.13/0.41 tff(39,plain,
% 0.13/0.41 (~(is_aligned(X!2, T1!1) <=> is_aligned(X!2, T2!0))),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[38, 33])).
% 0.13/0.41 tff(40,assumption,(is_aligned(X!2, T2!0) <=> is_aligned(X!2, T1!1)), introduced(assumption)).
% 0.13/0.41 tff(41,assumption,(~is_aligned(X!2, T2!0)), introduced(assumption)).
% 0.13/0.41 tff(42,assumption,(~(is_aligned(X!2, T1!1) <=> is_aligned(X!2, T2!0))), introduced(assumption)).
% 0.13/0.41 tff(43,plain,
% 0.13/0.41 ((is_aligned(X!2, T1!1) <=> is_aligned(X!2, T2!0)) | is_aligned(X!2, T1!1) | is_aligned(X!2, T2!0)),
% 0.13/0.41 inference(tautology,[status(thm)],[])).
% 0.13/0.41 tff(44,plain,
% 0.13/0.41 (is_aligned(X!2, T1!1)),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[43, 41, 42])).
% 0.13/0.41 tff(45,plain,
% 0.13/0.41 ((~(is_aligned(X!2, T2!0) <=> is_aligned(X!2, T1!1))) | is_aligned(X!2, T2!0) | (~is_aligned(X!2, T1!1))),
% 0.13/0.41 inference(tautology,[status(thm)],[])).
% 0.13/0.41 tff(46,plain,
% 0.13/0.41 ($false),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[45, 44, 41, 40])).
% 0.13/0.41 tff(47,plain,(is_aligned(X!2, T2!0) | (~(is_aligned(X!2, T2!0) <=> is_aligned(X!2, T1!1))) | (is_aligned(X!2, T1!1) <=> is_aligned(X!2, T2!0))), inference(lemma,lemma(discharge,[]))).
% 0.13/0.41 tff(48,plain,
% 0.13/0.41 (is_aligned(X!2, T2!0)),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[47, 37, 39])).
% 0.13/0.41 tff(49,plain,
% 0.13/0.41 ((is_aligned(X!2, T1!1) <=> is_aligned(X!2, T2!0)) | (~is_aligned(X!2, T1!1)) | (~is_aligned(X!2, T2!0))),
% 0.13/0.41 inference(tautology,[status(thm)],[])).
% 0.13/0.41 tff(50,plain,
% 0.13/0.41 (~is_aligned(X!2, T1!1)),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[49, 48, 39])).
% 0.13/0.41 tff(51,plain,
% 0.13/0.41 ((~(is_aligned(X!2, T2!0) <=> is_aligned(X!2, T1!1))) | (~is_aligned(X!2, T2!0)) | is_aligned(X!2, T1!1)),
% 0.13/0.41 inference(tautology,[status(thm)],[])).
% 0.13/0.41 tff(52,plain,
% 0.13/0.41 ($false),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[51, 50, 48, 37])).
% 0.13/0.41 tff(53,plain,(dissimilar(X!2, T2!0, T1!1)), inference(lemma,lemma(discharge,[]))).
% 0.13/0.41 tff(54,plain,
% 0.13/0.41 ((((~organization(X!2)) | (is_aligned(X!2, T2!0) <=> is_aligned(X!2, T1!1))) <=> dissimilar(X!2, T2!0, T1!1)) | (~((~organization(X!2)) | (is_aligned(X!2, T2!0) <=> is_aligned(X!2, T1!1)))) | (~dissimilar(X!2, T2!0, T1!1))),
% 0.13/0.41 inference(tautology,[status(thm)],[])).
% 0.13/0.41 tff(55,plain,
% 0.13/0.41 ((~((~organization(X!2)) | (is_aligned(X!2, T2!0) <=> is_aligned(X!2, T1!1)))) | (~dissimilar(X!2, T2!0, T1!1))),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[54, 13])).
% 0.13/0.41 tff(56,plain,
% 0.13/0.41 (~((~organization(X!2)) | (is_aligned(X!2, T2!0) <=> is_aligned(X!2, T1!1)))),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[55, 53])).
% 0.13/0.41 tff(57,plain,
% 0.13/0.41 (((~organization(X!2)) | (is_aligned(X!2, T2!0) <=> is_aligned(X!2, T1!1))) | organization(X!2)),
% 0.13/0.41 inference(tautology,[status(thm)],[])).
% 0.13/0.41 tff(58,plain,
% 0.13/0.41 (organization(X!2)),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[57, 56])).
% 0.13/0.41 tff(59,plain,
% 0.13/0.41 ((dissimilar(X!2, T1!1, T2!0) <=> dissimilar(X!2, T2!0, T1!1)) | (~dissimilar(X!2, T1!1, T2!0)) | (~dissimilar(X!2, T2!0, T1!1))),
% 0.13/0.41 inference(tautology,[status(thm)],[])).
% 0.13/0.41 tff(60,plain,
% 0.13/0.41 ((~dissimilar(X!2, T1!1, T2!0)) | (~dissimilar(X!2, T2!0, T1!1))),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[59, 25])).
% 0.13/0.41 tff(61,plain,
% 0.13/0.41 (~dissimilar(X!2, T1!1, T2!0)),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[60, 53])).
% 0.13/0.41 tff(62,plain,
% 0.13/0.41 ((((~organization(X!2)) | (is_aligned(X!2, T1!1) <=> is_aligned(X!2, T2!0))) <=> dissimilar(X!2, T1!1, T2!0)) | ((~organization(X!2)) | (is_aligned(X!2, T1!1) <=> is_aligned(X!2, T2!0))) | dissimilar(X!2, T1!1, T2!0)),
% 0.13/0.41 inference(tautology,[status(thm)],[])).
% 0.13/0.41 tff(63,plain,
% 0.13/0.41 (((~organization(X!2)) | (is_aligned(X!2, T1!1) <=> is_aligned(X!2, T2!0))) | dissimilar(X!2, T1!1, T2!0)),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[62, 30])).
% 0.13/0.41 tff(64,plain,
% 0.13/0.41 ((~organization(X!2)) | (is_aligned(X!2, T1!1) <=> is_aligned(X!2, T2!0))),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[63, 61])).
% 0.13/0.41 tff(65,plain,
% 0.13/0.41 ((~((~organization(X!2)) | (is_aligned(X!2, T1!1) <=> is_aligned(X!2, T2!0)))) | (~organization(X!2)) | (is_aligned(X!2, T1!1) <=> is_aligned(X!2, T2!0))),
% 0.13/0.41 inference(tautology,[status(thm)],[])).
% 0.13/0.41 tff(66,plain,
% 0.13/0.41 (is_aligned(X!2, T1!1) <=> is_aligned(X!2, T2!0)),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[65, 64, 58])).
% 0.13/0.41 tff(67,plain,
% 0.13/0.41 (((~organization(X!2)) | (is_aligned(X!2, T2!0) <=> is_aligned(X!2, T1!1))) | (~(is_aligned(X!2, T2!0) <=> is_aligned(X!2, T1!1)))),
% 0.13/0.41 inference(tautology,[status(thm)],[])).
% 0.13/0.41 tff(68,plain,
% 0.13/0.41 (~(is_aligned(X!2, T2!0) <=> is_aligned(X!2, T1!1))),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[67, 56])).
% 0.13/0.41 tff(69,plain,
% 0.13/0.41 ((is_aligned(X!2, T2!0) <=> is_aligned(X!2, T1!1)) | is_aligned(X!2, T2!0) | is_aligned(X!2, T1!1)),
% 0.13/0.41 inference(tautology,[status(thm)],[])).
% 0.13/0.41 tff(70,plain,
% 0.13/0.41 (is_aligned(X!2, T1!1)),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[69, 41, 68])).
% 0.13/0.41 tff(71,plain,
% 0.13/0.41 ((~(is_aligned(X!2, T1!1) <=> is_aligned(X!2, T2!0))) | (~is_aligned(X!2, T1!1)) | is_aligned(X!2, T2!0)),
% 0.13/0.41 inference(tautology,[status(thm)],[])).
% 0.13/0.41 tff(72,plain,
% 0.13/0.41 ($false),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[71, 70, 41, 66])).
% 0.13/0.41 tff(73,plain,(is_aligned(X!2, T2!0)), inference(lemma,lemma(discharge,[]))).
% 0.13/0.41 tff(74,plain,
% 0.13/0.41 ((is_aligned(X!2, T2!0) <=> is_aligned(X!2, T1!1)) | (~is_aligned(X!2, T2!0)) | (~is_aligned(X!2, T1!1))),
% 0.13/0.41 inference(tautology,[status(thm)],[])).
% 0.13/0.41 tff(75,plain,
% 0.13/0.41 (~is_aligned(X!2, T1!1)),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[74, 73, 68])).
% 0.13/0.41 tff(76,plain,
% 0.13/0.41 ((~(is_aligned(X!2, T1!1) <=> is_aligned(X!2, T2!0))) | is_aligned(X!2, T1!1) | (~is_aligned(X!2, T2!0))),
% 0.13/0.41 inference(tautology,[status(thm)],[])).
% 0.13/0.41 tff(77,plain,
% 0.13/0.41 ($false),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[76, 75, 73, 66])).
% 0.13/0.41 % SZS output end Proof
% 0.13/0.41 % E exiting
%------------------------------------------------------------------------------