TSTP Solution File: MGT049+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : MGT049+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% 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 : Sun Sep 18 05:22:13 EDT 2022
% Result : Theorem 0.18s 0.38s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : MGT049+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.11/0.33 % Computer : n006.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Sep 2 02:53:39 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.11/0.33 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.11/0.33 Usage: tptp [options] [-file:]file
% 0.11/0.33 -h, -? prints this message.
% 0.11/0.33 -smt2 print SMT-LIB2 benchmark.
% 0.11/0.33 -m, -model generate model.
% 0.11/0.33 -p, -proof generate proof.
% 0.11/0.33 -c, -core generate unsat core of named formulas.
% 0.11/0.33 -st, -statistics display statistics.
% 0.11/0.33 -t:timeout set timeout (in second).
% 0.11/0.33 -smt2status display status in smt2 format instead of SZS.
% 0.11/0.33 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.11/0.33 -<param>:<value> configuration parameter and value.
% 0.11/0.33 -o:<output-file> file to place output in.
% 0.18/0.38 % SZS status Theorem
% 0.18/0.38 % SZS output start Proof
% 0.18/0.38 tff(external_ties_type, type, (
% 0.18/0.38 external_ties: ( $i * $i ) > $i)).
% 0.18/0.38 tff(tptp_fun_T0_1_type, type, (
% 0.18/0.38 tptp_fun_T0_1: $i)).
% 0.18/0.38 tff(tptp_fun_X_2_type, type, (
% 0.18/0.38 tptp_fun_X_2: $i)).
% 0.18/0.38 tff(tptp_fun_T_0_type, type, (
% 0.18/0.38 tptp_fun_T_0: $i)).
% 0.18/0.38 tff(position_type, type, (
% 0.18/0.38 position: ( $i * $i ) > $i)).
% 0.18/0.38 tff(greater_type, type, (
% 0.18/0.38 greater: ( $i * $i ) > $o)).
% 0.18/0.38 tff(organization_type, type, (
% 0.18/0.38 organization: $i > $o)).
% 0.18/0.38 tff(age_type, type, (
% 0.18/0.38 age: ( $i * $i ) > $i)).
% 0.18/0.38 tff(1,plain,
% 0.18/0.38 ((~![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))))),
% 0.18/0.38 inference(rewrite,[status(thm)],[])).
% 0.18/0.38 tff(2,plain,
% 0.18/0.38 ((~![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))))),
% 0.18/0.38 inference(rewrite,[status(thm)],[])).
% 0.18/0.38 tff(3,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')).
% 0.18/0.38 tff(4,plain,
% 0.18/0.38 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | (position(X, T) = position(X, T0)))),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.18/0.38 tff(5,plain,
% 0.18/0.38 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | (position(X, T) = position(X, T0)))),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[4, 1])).
% 0.18/0.38 tff(6,plain,
% 0.18/0.38 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | (position(X, T) = position(X, T0)))),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.18/0.38 tff(7,plain,
% 0.18/0.38 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | (position(X, T) = position(X, T0)))),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[6, 1])).
% 0.18/0.38 tff(8,plain,
% 0.18/0.38 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | (position(X, T) = position(X, T0)))),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[7, 1])).
% 0.18/0.38 tff(9,plain,
% 0.18/0.38 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | (position(X, T) = position(X, T0)))),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[8, 1])).
% 0.18/0.38 tff(10,plain,
% 0.18/0.38 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | (position(X, T) = position(X, T0)))),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[9, 1])).
% 0.18/0.38 tff(11,plain,(
% 0.18/0.38 ~((~(organization(X!2) & greater(age(X!2, T!0), age(X!2, T0!1)))) | (position(X!2, T!0) = position(X!2, T0!1)))),
% 0.18/0.38 inference(skolemize,[status(sab)],[10])).
% 0.18/0.38 tff(12,plain,
% 0.18/0.38 (organization(X!2) & greater(age(X!2, T!0), age(X!2, T0!1))),
% 0.18/0.38 inference(or_elim,[status(thm)],[11])).
% 0.18/0.38 tff(13,plain,
% 0.18/0.38 (organization(X!2)),
% 0.18/0.38 inference(and_elim,[status(thm)],[12])).
% 0.18/0.38 tff(14,plain,
% 0.18/0.38 (^[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))))))))),
% 0.18/0.38 inference(bind,[status(th)],[])).
% 0.18/0.38 tff(15,plain,
% 0.18/0.38 (![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)))))))),
% 0.18/0.38 inference(quant_intro,[status(thm)],[14])).
% 0.18/0.38 tff(16,plain,
% 0.18/0.38 (^[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))))))))),
% 0.18/0.38 inference(bind,[status(th)],[])).
% 0.18/0.38 tff(17,plain,
% 0.18/0.38 (![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)))))))),
% 0.18/0.38 inference(quant_intro,[status(thm)],[16])).
% 0.18/0.38 tff(18,plain,
% 0.18/0.38 (![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)))))),
% 0.18/0.38 inference(rewrite,[status(thm)],[])).
% 0.18/0.38 tff(19,plain,
% 0.18/0.38 (^[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)))))))),
% 0.18/0.38 inference(bind,[status(th)],[])).
% 0.18/0.38 tff(20,plain,
% 0.18/0.38 (![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)))))),
% 0.18/0.38 inference(quant_intro,[status(thm)],[19])).
% 0.18/0.38 tff(21,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')).
% 0.18/0.38 tff(22,plain,
% 0.18/0.38 (![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)))))),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[21, 20])).
% 0.18/0.38 tff(23,plain,
% 0.18/0.38 (![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)))))),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[22, 18])).
% 0.18/0.38 tff(24,plain,(
% 0.18/0.38 ![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)))))),
% 0.18/0.38 inference(skolemize,[status(sab)],[23])).
% 0.18/0.38 tff(25,plain,
% 0.18/0.38 (![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)))))))),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[24, 17])).
% 0.18/0.38 tff(26,plain,
% 0.18/0.38 (![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)))))))),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[25, 15])).
% 0.18/0.38 tff(27,plain,
% 0.18/0.38 (((~![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)) | (~((~((~(external_ties(X!2, T!0) = external_ties(X!2, T0!1))) | (position(X!2, T!0) = position(X!2, T0!1)))) | (~((~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))) | greater(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)) | (~((~((~(external_ties(X!2, T!0) = external_ties(X!2, T0!1))) | (position(X!2, T!0) = position(X!2, T0!1)))) | (~((~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))) | greater(position(X!2, T!0), position(X!2, T0!1)))))))),
% 0.18/0.38 inference(rewrite,[status(thm)],[])).
% 0.18/0.38 tff(28,plain,
% 0.18/0.38 (((~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))))))) <=> ((~organization(X!2)) | (~((~((~(external_ties(X!2, T!0) = external_ties(X!2, T0!1))) | (position(X!2, T!0) = position(X!2, T0!1)))) | (~((~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))) | greater(position(X!2, T!0), position(X!2, T0!1)))))))),
% 0.18/0.38 inference(rewrite,[status(thm)],[])).
% 0.18/0.38 tff(29,plain,
% 0.18/0.38 (((~![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)) | (~((~((~(external_ties(X!2, T!0) = external_ties(X!2, T0!1))) | (position(X!2, T!0) = position(X!2, T0!1)))) | (~((~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))) | greater(position(X!2, T!0), position(X!2, T0!1))))))))),
% 0.18/0.39 inference(monotonicity,[status(thm)],[28])).
% 0.18/0.39 tff(30,plain,
% 0.18/0.39 (((~![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)))))))) | ((~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)) | (~((~((~(external_ties(X!2, T!0) = external_ties(X!2, T0!1))) | (position(X!2, T!0) = position(X!2, T0!1)))) | (~((~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))) | greater(position(X!2, T!0), position(X!2, T0!1)))))))),
% 0.18/0.39 inference(transitivity,[status(thm)],[29, 27])).
% 0.18/0.39 tff(31,plain,
% 0.18/0.39 ((~![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)))))))) | ((~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)))))))),
% 0.18/0.39 inference(quant_inst,[status(thm)],[])).
% 0.18/0.39 tff(32,plain,
% 0.18/0.39 ((~![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)))))))) | (~organization(X!2)) | (~((~((~(external_ties(X!2, T!0) = external_ties(X!2, T0!1))) | (position(X!2, T!0) = position(X!2, T0!1)))) | (~((~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))) | greater(position(X!2, T!0), position(X!2, T0!1))))))),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[31, 30])).
% 0.18/0.39 tff(33,plain,
% 0.18/0.39 (~((~((~(external_ties(X!2, T!0) = external_ties(X!2, T0!1))) | (position(X!2, T!0) = position(X!2, T0!1)))) | (~((~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))) | greater(position(X!2, T!0), position(X!2, T0!1)))))),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[32, 26, 13])).
% 0.18/0.39 tff(34,plain,
% 0.18/0.39 (((~((~(external_ties(X!2, T!0) = external_ties(X!2, T0!1))) | (position(X!2, T!0) = position(X!2, T0!1)))) | (~((~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)))),
% 0.18/0.39 inference(tautology,[status(thm)],[])).
% 0.18/0.39 tff(35,plain,
% 0.18/0.39 ((~(external_ties(X!2, T!0) = external_ties(X!2, T0!1))) | (position(X!2, T!0) = position(X!2, T0!1))),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[34, 33])).
% 0.18/0.39 tff(36,plain,
% 0.18/0.39 (~(position(X!2, T!0) = position(X!2, T0!1))),
% 0.18/0.39 inference(or_elim,[status(thm)],[11])).
% 0.18/0.39 tff(37,plain,
% 0.18/0.39 ((~((~(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))),
% 0.18/0.39 inference(tautology,[status(thm)],[])).
% 0.18/0.39 tff(38,plain,
% 0.18/0.39 ((~((~(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)))),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[37, 36])).
% 0.18/0.39 tff(39,plain,
% 0.18/0.39 (~(external_ties(X!2, T!0) = external_ties(X!2, T0!1))),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[38, 35])).
% 0.18/0.39 tff(40,plain,
% 0.18/0.39 (^[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))))),
% 0.18/0.39 inference(bind,[status(th)],[])).
% 0.18/0.39 tff(41,plain,
% 0.18/0.39 (![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)))),
% 0.18/0.39 inference(quant_intro,[status(thm)],[40])).
% 0.18/0.39 tff(42,plain,
% 0.18/0.39 (![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)))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(43,plain,
% 0.18/0.39 (^[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))))),
% 0.18/0.39 inference(bind,[status(th)],[])).
% 0.18/0.39 tff(44,plain,
% 0.18/0.39 (![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)))),
% 0.18/0.39 inference(quant_intro,[status(thm)],[43])).
% 0.18/0.39 tff(45,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')).
% 0.18/0.39 tff(46,plain,
% 0.18/0.39 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[45, 44])).
% 0.18/0.39 tff(47,plain,
% 0.18/0.39 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[46, 42])).
% 0.18/0.39 tff(48,plain,(
% 0.18/0.39 ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))),
% 0.18/0.39 inference(skolemize,[status(sab)],[47])).
% 0.18/0.39 tff(49,plain,
% 0.18/0.39 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[48, 41])).
% 0.18/0.39 tff(50,plain,
% 0.18/0.39 (((~![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)))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(51,plain,
% 0.18/0.39 ((~![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)))),
% 0.18/0.39 inference(quant_inst,[status(thm)],[])).
% 0.18/0.39 tff(52,plain,
% 0.18/0.39 ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))) | (~organization(X!2)) | (external_ties(X!2, T!0) = external_ties(X!2, T0!1))),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[51, 50])).
% 0.18/0.39 tff(53,plain,
% 0.18/0.39 ($false),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[52, 49, 13, 39])).
% 0.18/0.39 % SZS output end Proof
%------------------------------------------------------------------------------