TSTP Solution File: MGT053+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : MGT053+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n002.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 : Sun Sep 18 05:22:15 EDT 2022
% Result : Theorem 0.12s 0.38s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : MGT053+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n002.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 Sep 2 03:07:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 0.12/0.38 % SZS status Theorem
% 0.12/0.38 % SZS output start Proof
% 0.12/0.38 tff(is_aligned_type, type, (
% 0.12/0.38 is_aligned: ( $i * $i ) > $o)).
% 0.12/0.38 tff(tptp_fun_T2_0_type, type, (
% 0.12/0.38 tptp_fun_T2_0: $i)).
% 0.12/0.38 tff(tptp_fun_X_2_type, type, (
% 0.12/0.38 tptp_fun_X_2: $i)).
% 0.12/0.38 tff(tptp_fun_T1_1_type, type, (
% 0.12/0.38 tptp_fun_T1_1: $i)).
% 0.12/0.38 tff(organization_type, type, (
% 0.12/0.38 organization: $i > $o)).
% 0.12/0.38 tff(dissimilar_type, type, (
% 0.12/0.38 dissimilar: ( $i * $i * $i ) > $o)).
% 0.12/0.38 tff(1,assumption,(~dissimilar(X!2, T2!0, T1!1)), introduced(assumption)).
% 0.12/0.38 tff(2,plain,
% 0.12/0.38 (^[X: $i, T0: $i, T: $i] : refl((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))))))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(3,plain,
% 0.12/0.38 (![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)))))),
% 0.12/0.38 inference(quant_intro,[status(thm)],[2])).
% 0.12/0.38 tff(4,plain,
% 0.12/0.38 (^[X: $i, T0: $i, T: $i] : rewrite((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))))))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(5,plain,
% 0.12/0.38 (![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)))))),
% 0.12/0.38 inference(quant_intro,[status(thm)],[4])).
% 0.12/0.38 tff(6,plain,
% 0.12/0.38 (![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))))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(7,plain,
% 0.12/0.38 (^[X: $i, T0: $i, T: $i] : rewrite((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)))))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(8,plain,
% 0.12/0.38 (![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))))),
% 0.12/0.38 inference(quant_intro,[status(thm)],[7])).
% 0.12/0.38 tff(9,axiom,(![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','definition_2')).
% 0.12/0.38 tff(10,plain,
% 0.12/0.38 (![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & ((~is_aligned(X, T0)) <=> is_aligned(X, T))))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[9, 8])).
% 0.12/0.38 tff(11,plain,
% 0.12/0.38 (![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & ((~is_aligned(X, T0)) <=> is_aligned(X, T))))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[10, 6])).
% 0.12/0.38 tff(12,plain,(
% 0.12/0.38 ![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & ((~is_aligned(X, T0)) <=> is_aligned(X, T))))),
% 0.12/0.38 inference(skolemize,[status(sab)],[11])).
% 0.12/0.38 tff(13,plain,
% 0.12/0.38 (![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T)))))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[12, 5])).
% 0.12/0.38 tff(14,plain,
% 0.12/0.38 (![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T)))))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[13, 3])).
% 0.12/0.38 tff(15,plain,
% 0.12/0.38 ((~![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T)))))) | (dissimilar(X!2, T2!0, T1!1) <=> (~((~organization(X!2)) | (is_aligned(X!2, T2!0) <=> is_aligned(X!2, T1!1)))))),
% 0.12/0.38 inference(quant_inst,[status(thm)],[])).
% 0.12/0.38 tff(16,plain,
% 0.12/0.38 (dissimilar(X!2, T2!0, T1!1) <=> (~((~organization(X!2)) | (is_aligned(X!2, T2!0) <=> is_aligned(X!2, T1!1))))),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[15, 14])).
% 0.19/0.39 tff(17,plain,
% 0.19/0.39 ((~(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) | ((~organization(X!2)) | (is_aligned(X!2, T2!0) <=> is_aligned(X!2, T1!1)))),
% 0.19/0.39 inference(tautology,[status(thm)],[])).
% 0.19/0.39 tff(18,plain,
% 0.19/0.39 (dissimilar(X!2, T2!0, T1!1) | ((~organization(X!2)) | (is_aligned(X!2, T2!0) <=> is_aligned(X!2, T1!1)))),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[17, 16])).
% 0.19/0.39 tff(19,plain,
% 0.19/0.39 ((~organization(X!2)) | (is_aligned(X!2, T2!0) <=> is_aligned(X!2, T1!1))),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[18, 1])).
% 0.19/0.39 tff(20,plain,
% 0.19/0.39 ((~(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))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(21,plain,
% 0.19/0.39 ((~![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)))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(22,axiom,(~![X: $i, T1: $i, T2: $i] : (dissimilar(X, T1, T2) <=> dissimilar(X, T2, T1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lemma_7')).
% 0.19/0.39 tff(23,plain,
% 0.19/0.39 (~![X: $i, T1: $i, T2: $i] : (dissimilar(X, T1, T2) <=> dissimilar(X, T2, T1))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[22, 21])).
% 0.19/0.39 tff(24,plain,
% 0.19/0.39 (~![X: $i, T1: $i, T2: $i] : (dissimilar(X, T1, T2) <=> dissimilar(X, T2, T1))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[23, 21])).
% 0.19/0.39 tff(25,plain,
% 0.19/0.39 (~![X: $i, T1: $i, T2: $i] : (dissimilar(X, T1, T2) <=> dissimilar(X, T2, T1))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[24, 21])).
% 0.19/0.39 tff(26,plain,
% 0.19/0.39 (~![X: $i, T1: $i, T2: $i] : (dissimilar(X, T1, T2) <=> dissimilar(X, T2, T1))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[25, 21])).
% 0.19/0.39 tff(27,plain,
% 0.19/0.39 (~![X: $i, T1: $i, T2: $i] : (dissimilar(X, T1, T2) <=> dissimilar(X, T2, T1))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[26, 21])).
% 0.19/0.39 tff(28,plain,
% 0.19/0.39 (~![X: $i, T1: $i, T2: $i] : (dissimilar(X, T1, T2) <=> dissimilar(X, T2, T1))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[27, 21])).
% 0.19/0.39 tff(29,plain,
% 0.19/0.39 (~![X: $i, T1: $i, T2: $i] : (dissimilar(X, T1, T2) <=> dissimilar(X, T2, T1))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[28, 21])).
% 0.19/0.39 tff(30,plain,(
% 0.19/0.39 ~(dissimilar(X!2, T1!1, T2!0) <=> dissimilar(X!2, T2!0, T1!1))),
% 0.19/0.39 inference(skolemize,[status(sab)],[29])).
% 0.19/0.39 tff(31,plain,
% 0.19/0.39 ((~dissimilar(X!2, T1!1, T2!0)) <=> dissimilar(X!2, T2!0, T1!1)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[30, 20])).
% 0.19/0.39 tff(32,plain,
% 0.19/0.39 (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)))),
% 0.19/0.39 inference(tautology,[status(thm)],[])).
% 0.19/0.39 tff(33,plain,
% 0.19/0.39 (dissimilar(X!2, T1!1, T2!0) | dissimilar(X!2, T2!0, T1!1)),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[32, 31])).
% 0.19/0.39 tff(34,plain,
% 0.19/0.39 (dissimilar(X!2, T1!1, T2!0)),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[33, 1])).
% 0.19/0.39 tff(35,plain,
% 0.19/0.39 ((~![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T)))))) | (dissimilar(X!2, T1!1, T2!0) <=> (~((~organization(X!2)) | (is_aligned(X!2, T1!1) <=> is_aligned(X!2, T2!0)))))),
% 0.19/0.39 inference(quant_inst,[status(thm)],[])).
% 0.19/0.39 tff(36,plain,
% 0.19/0.39 (dissimilar(X!2, T1!1, T2!0) <=> (~((~organization(X!2)) | (is_aligned(X!2, T1!1) <=> is_aligned(X!2, T2!0))))),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[35, 14])).
% 0.19/0.39 tff(37,plain,
% 0.19/0.39 ((~(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)) | (~((~organization(X!2)) | (is_aligned(X!2, T1!1) <=> is_aligned(X!2, T2!0))))),
% 0.19/0.39 inference(tautology,[status(thm)],[])).
% 0.19/0.39 tff(38,plain,
% 0.19/0.39 ((~dissimilar(X!2, T1!1, T2!0)) | (~((~organization(X!2)) | (is_aligned(X!2, T1!1) <=> is_aligned(X!2, T2!0))))),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[37, 36])).
% 0.19/0.39 tff(39,plain,
% 0.19/0.39 (~((~organization(X!2)) | (is_aligned(X!2, T1!1) <=> is_aligned(X!2, T2!0)))),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[38, 34])).
% 0.19/0.39 tff(40,plain,
% 0.19/0.39 (((~organization(X!2)) | (is_aligned(X!2, T1!1) <=> is_aligned(X!2, T2!0))) | organization(X!2)),
% 0.19/0.39 inference(tautology,[status(thm)],[])).
% 0.19/0.39 tff(41,plain,
% 0.19/0.39 (organization(X!2)),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[40, 39])).
% 0.19/0.39 tff(42,plain,
% 0.19/0.39 ((~((~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))),
% 0.19/0.39 inference(tautology,[status(thm)],[])).
% 0.19/0.39 tff(43,plain,
% 0.19/0.39 (is_aligned(X!2, T2!0) <=> is_aligned(X!2, T1!1)),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[42, 41, 19])).
% 0.19/0.39 tff(44,plain,
% 0.19/0.39 (((~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)))),
% 0.19/0.39 inference(tautology,[status(thm)],[])).
% 0.19/0.39 tff(45,plain,
% 0.19/0.39 (~(is_aligned(X!2, T1!1) <=> is_aligned(X!2, T2!0))),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[44, 39])).
% 0.19/0.39 tff(46,assumption,(is_aligned(X!2, T2!0) <=> is_aligned(X!2, T1!1)), introduced(assumption)).
% 0.19/0.39 tff(47,assumption,(~is_aligned(X!2, T2!0)), introduced(assumption)).
% 0.19/0.39 tff(48,assumption,(~(is_aligned(X!2, T1!1) <=> is_aligned(X!2, T2!0))), introduced(assumption)).
% 0.19/0.39 tff(49,plain,
% 0.19/0.39 ((is_aligned(X!2, T1!1) <=> is_aligned(X!2, T2!0)) | is_aligned(X!2, T1!1) | is_aligned(X!2, T2!0)),
% 0.19/0.39 inference(tautology,[status(thm)],[])).
% 0.19/0.39 tff(50,plain,
% 0.19/0.39 (is_aligned(X!2, T1!1)),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[49, 47, 48])).
% 0.19/0.39 tff(51,plain,
% 0.19/0.39 ((~(is_aligned(X!2, T2!0) <=> is_aligned(X!2, T1!1))) | is_aligned(X!2, T2!0) | (~is_aligned(X!2, T1!1))),
% 0.19/0.39 inference(tautology,[status(thm)],[])).
% 0.19/0.39 tff(52,plain,
% 0.19/0.39 ($false),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[51, 50, 47, 46])).
% 0.19/0.39 tff(53,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,[]))).
% 0.19/0.39 tff(54,plain,
% 0.19/0.39 (is_aligned(X!2, T2!0)),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[53, 43, 45])).
% 0.19/0.39 tff(55,plain,
% 0.19/0.39 ((is_aligned(X!2, T1!1) <=> is_aligned(X!2, T2!0)) | (~is_aligned(X!2, T1!1)) | (~is_aligned(X!2, T2!0))),
% 0.19/0.39 inference(tautology,[status(thm)],[])).
% 0.19/0.39 tff(56,plain,
% 0.19/0.39 (~is_aligned(X!2, T1!1)),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[55, 54, 45])).
% 0.19/0.39 tff(57,plain,
% 0.19/0.39 ((~(is_aligned(X!2, T2!0) <=> is_aligned(X!2, T1!1))) | (~is_aligned(X!2, T2!0)) | is_aligned(X!2, T1!1)),
% 0.19/0.39 inference(tautology,[status(thm)],[])).
% 0.19/0.39 tff(58,plain,
% 0.19/0.39 ($false),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[57, 56, 54, 43])).
% 0.19/0.39 tff(59,plain,(dissimilar(X!2, T2!0, T1!1)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.39 tff(60,plain,
% 0.19/0.39 ((~(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)) | (~((~organization(X!2)) | (is_aligned(X!2, T2!0) <=> is_aligned(X!2, T1!1))))),
% 0.19/0.39 inference(tautology,[status(thm)],[])).
% 0.19/0.39 tff(61,plain,
% 0.19/0.39 ((~dissimilar(X!2, T2!0, T1!1)) | (~((~organization(X!2)) | (is_aligned(X!2, T2!0) <=> is_aligned(X!2, T1!1))))),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[60, 16])).
% 0.19/0.39 tff(62,plain,
% 0.19/0.39 (~((~organization(X!2)) | (is_aligned(X!2, T2!0) <=> is_aligned(X!2, T1!1)))),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[61, 59])).
% 0.19/0.39 tff(63,plain,
% 0.19/0.39 (((~organization(X!2)) | (is_aligned(X!2, T2!0) <=> is_aligned(X!2, T1!1))) | organization(X!2)),
% 0.19/0.39 inference(tautology,[status(thm)],[])).
% 0.19/0.39 tff(64,plain,
% 0.19/0.39 (organization(X!2)),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[63, 62])).
% 0.19/0.39 tff(65,plain,
% 0.19/0.39 ((~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)))),
% 0.19/0.39 inference(tautology,[status(thm)],[])).
% 0.19/0.39 tff(66,plain,
% 0.19/0.39 ((~dissimilar(X!2, T1!1, T2!0)) | (~dissimilar(X!2, T2!0, T1!1))),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[65, 31])).
% 0.19/0.39 tff(67,plain,
% 0.19/0.39 (~dissimilar(X!2, T1!1, T2!0)),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[66, 59])).
% 0.19/0.39 tff(68,plain,
% 0.19/0.39 ((~(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) | ((~organization(X!2)) | (is_aligned(X!2, T1!1) <=> is_aligned(X!2, T2!0)))),
% 0.19/0.39 inference(tautology,[status(thm)],[])).
% 0.19/0.39 tff(69,plain,
% 0.19/0.39 (dissimilar(X!2, T1!1, T2!0) | ((~organization(X!2)) | (is_aligned(X!2, T1!1) <=> is_aligned(X!2, T2!0)))),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[68, 36])).
% 0.19/0.39 tff(70,plain,
% 0.19/0.39 ((~organization(X!2)) | (is_aligned(X!2, T1!1) <=> is_aligned(X!2, T2!0))),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[69, 67])).
% 0.19/0.39 tff(71,plain,
% 0.19/0.39 ((~((~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))),
% 0.19/0.39 inference(tautology,[status(thm)],[])).
% 0.19/0.39 tff(72,plain,
% 0.19/0.39 (is_aligned(X!2, T1!1) <=> is_aligned(X!2, T2!0)),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[71, 70, 64])).
% 0.19/0.39 tff(73,plain,
% 0.19/0.39 (((~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)))),
% 0.19/0.39 inference(tautology,[status(thm)],[])).
% 0.19/0.39 tff(74,plain,
% 0.19/0.39 (~(is_aligned(X!2, T2!0) <=> is_aligned(X!2, T1!1))),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[73, 62])).
% 0.19/0.39 tff(75,plain,
% 0.19/0.39 ((is_aligned(X!2, T2!0) <=> is_aligned(X!2, T1!1)) | is_aligned(X!2, T2!0) | is_aligned(X!2, T1!1)),
% 0.19/0.39 inference(tautology,[status(thm)],[])).
% 0.19/0.39 tff(76,plain,
% 0.19/0.39 (is_aligned(X!2, T1!1)),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[75, 47, 74])).
% 0.19/0.39 tff(77,plain,
% 0.19/0.39 ((~(is_aligned(X!2, T1!1) <=> is_aligned(X!2, T2!0))) | (~is_aligned(X!2, T1!1)) | is_aligned(X!2, T2!0)),
% 0.19/0.39 inference(tautology,[status(thm)],[])).
% 0.19/0.39 tff(78,plain,
% 0.19/0.39 ($false),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[77, 76, 47, 72])).
% 0.19/0.39 tff(79,plain,(is_aligned(X!2, T2!0)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.39 tff(80,plain,
% 0.19/0.39 ((is_aligned(X!2, T2!0) <=> is_aligned(X!2, T1!1)) | (~is_aligned(X!2, T2!0)) | (~is_aligned(X!2, T1!1))),
% 0.19/0.39 inference(tautology,[status(thm)],[])).
% 0.19/0.39 tff(81,plain,
% 0.19/0.39 (~is_aligned(X!2, T1!1)),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[80, 79, 74])).
% 0.19/0.39 tff(82,plain,
% 0.19/0.39 ((~(is_aligned(X!2, T1!1) <=> is_aligned(X!2, T2!0))) | is_aligned(X!2, T1!1) | (~is_aligned(X!2, T2!0))),
% 0.19/0.39 inference(tautology,[status(thm)],[])).
% 0.19/0.39 tff(83,plain,
% 0.19/0.39 ($false),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[82, 81, 79, 72])).
% 0.19/0.39 % SZS output end Proof
%------------------------------------------------------------------------------