%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT014+1 : TPTP v9.3.0. Released v2.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n005.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 06:23:57 AM UTC 2026
% Result : Theorem 0.12s 0.41s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT014+1 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.03 % Command : run_E %s %d THM
% 0.10/0.35 % Computer : n005.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 7 11:53:07 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.12/0.41 % SZS status Theorem
% 0.12/0.41 % SZS output start Proof
% 0.12/0.41 tff(greater_type, type, (
% 0.12/0.41 greater: ( $i * $i ) > $o)).
% 0.12/0.41 tff(tptp_fun_S2_2_type, type, (
% 0.12/0.41 tptp_fun_S2_2: $i)).
% 0.12/0.41 tff(tptp_fun_S1_3_type, type, (
% 0.12/0.41 tptp_fun_S1_3: $i)).
% 0.12/0.41 tff(size_type, type, (
% 0.12/0.41 size: ( $i * $i * $i ) > $o)).
% 0.12/0.41 tff(tptp_fun_T2_0_type, type, (
% 0.12/0.41 tptp_fun_T2_0: $i)).
% 0.12/0.41 tff(tptp_fun_X_6_type, type, (
% 0.12/0.41 tptp_fun_X_6: $i)).
% 0.12/0.41 tff(tptp_fun_T1_1_type, type, (
% 0.12/0.41 tptp_fun_T1_1: $i)).
% 0.12/0.41 tff(reorganization_free_type, type, (
% 0.12/0.41 reorganization_free: ( $i * $i * $i ) > $o)).
% 0.12/0.41 tff(complexity_type, type, (
% 0.12/0.41 complexity: ( $i * $i * $i ) > $o)).
% 0.12/0.41 tff(tptp_fun_C2_4_type, type, (
% 0.12/0.41 tptp_fun_C2_4: $i)).
% 0.12/0.41 tff(tptp_fun_C1_5_type, type, (
% 0.12/0.41 tptp_fun_C1_5: $i)).
% 0.12/0.41 tff(organization_type, type, (
% 0.12/0.41 organization: ( $i * $i ) > $o)).
% 0.12/0.41 tff(time_type, type, (
% 0.12/0.41 time: $i > $o)).
% 0.12/0.41 tff(1,plain,
% 0.12/0.41 ((~![X: $i, C1: $i, C2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~greater(C1, C2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2) & size(X, S1, T1) & size(X, S2, T2) & greater(S2, S1))))) <=> (~![X: $i, C1: $i, C2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~greater(C1, C2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2) & size(X, S1, T1) & size(X, S2, T2) & greater(S2, S1)))))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(2,plain,
% 0.12/0.41 ((~![X: $i, C1: $i, C2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & complexity(X, C1, T1)) & complexity(X, C2, T2)) & size(X, S1, T1)) & size(X, S2, T2)) & greater(S2, S1)) => (~greater(C1, C2)))) <=> (~![X: $i, C1: $i, C2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~greater(C1, C2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2) & size(X, S1, T1) & size(X, S2, T2) & greater(S2, S1)))))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(3,axiom,(~![X: $i, C1: $i, C2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & complexity(X, C1, T1)) & complexity(X, C2, T2)) & size(X, S1, T1)) & size(X, S2, T2)) & greater(S2, S1)) => (~greater(C1, C2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','t14_FOL')).
% 0.12/0.41 tff(4,plain,
% 0.12/0.41 (~![X: $i, C1: $i, C2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~greater(C1, C2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2) & size(X, S1, T1) & size(X, S2, T2) & greater(S2, S1))))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.12/0.41 tff(5,plain,
% 0.12/0.41 (~![X: $i, C1: $i, C2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~greater(C1, C2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2) & size(X, S1, T1) & size(X, S2, T2) & greater(S2, S1))))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[4, 1])).
% 0.12/0.41 tff(6,plain,
% 0.12/0.41 (~![X: $i, C1: $i, C2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~greater(C1, C2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2) & size(X, S1, T1) & size(X, S2, T2) & greater(S2, S1))))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.12/0.41 tff(7,plain,
% 0.12/0.41 (~![X: $i, C1: $i, C2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~greater(C1, C2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2) & size(X, S1, T1) & size(X, S2, T2) & greater(S2, S1))))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[6, 1])).
% 0.12/0.41 tff(8,plain,(
% 0.12/0.41 ~((~greater(C1!5, C2!4)) | (~(organization(X!6, T1!1) & organization(X!6, T2!0) & reorganization_free(X!6, T1!1, T2!0) & complexity(X!6, C1!5, T1!1) & complexity(X!6, C2!4, T2!0) & size(X!6, S1!3, T1!1) & size(X!6, S2!2, T2!0) & greater(S2!2, S1!3))))),
% 0.12/0.41 inference(skolemize,[status(sab)],[7])).
% 0.12/0.41 tff(9,plain,
% 0.12/0.41 (organization(X!6, T1!1) & organization(X!6, T2!0) & reorganization_free(X!6, T1!1, T2!0) & complexity(X!6, C1!5, T1!1) & complexity(X!6, C2!4, T2!0) & size(X!6, S1!3, T1!1) & size(X!6, S2!2, T2!0) & greater(S2!2, S1!3)),
% 0.12/0.41 inference(or_elim,[status(thm)],[8])).
% 0.12/0.41 tff(10,plain,
% 0.12/0.41 (reorganization_free(X!6, T1!1, T2!0)),
% 0.12/0.41 inference(and_elim,[status(thm)],[9])).
% 0.12/0.41 tff(11,plain,
% 0.12/0.41 (^[X: $i, T1: $i, T2: $i] : refl(((~reorganization_free(X, T1, T2)) | reorganization_free(X, T2, T1)) <=> ((~reorganization_free(X, T1, T2)) | reorganization_free(X, T2, T1)))),
% 0.12/0.41 inference(bind,[status(th)],[])).
% 0.12/0.41 tff(12,plain,
% 0.12/0.41 (![X: $i, T1: $i, T2: $i] : ((~reorganization_free(X, T1, T2)) | reorganization_free(X, T2, T1)) <=> ![X: $i, T1: $i, T2: $i] : ((~reorganization_free(X, T1, T2)) | reorganization_free(X, T2, T1))),
% 0.12/0.41 inference(quant_intro,[status(thm)],[11])).
% 0.12/0.41 tff(13,plain,
% 0.12/0.41 (![X: $i, T1: $i, T2: $i] : ((~reorganization_free(X, T1, T2)) | reorganization_free(X, T2, T1)) <=> ![X: $i, T1: $i, T2: $i] : ((~reorganization_free(X, T1, T2)) | reorganization_free(X, T2, T1))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(14,plain,
% 0.12/0.41 (^[X: $i, T1: $i, T2: $i] : rewrite((reorganization_free(X, T1, T2) => reorganization_free(X, T2, T1)) <=> ((~reorganization_free(X, T1, T2)) | reorganization_free(X, T2, T1)))),
% 0.12/0.41 inference(bind,[status(th)],[])).
% 0.12/0.41 tff(15,plain,
% 0.12/0.41 (![X: $i, T1: $i, T2: $i] : (reorganization_free(X, T1, T2) => reorganization_free(X, T2, T1)) <=> ![X: $i, T1: $i, T2: $i] : ((~reorganization_free(X, T1, T2)) | reorganization_free(X, T2, T1))),
% 0.12/0.41 inference(quant_intro,[status(thm)],[14])).
% 0.12/0.41 tff(16,axiom,(![X: $i, T1: $i, T2: $i] : (reorganization_free(X, T1, T2) => reorganization_free(X, T2, T1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp17')).
% 0.12/0.41 tff(17,plain,
% 0.12/0.41 (![X: $i, T1: $i, T2: $i] : ((~reorganization_free(X, T1, T2)) | reorganization_free(X, T2, T1))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.12/0.41 tff(18,plain,
% 0.12/0.41 (![X: $i, T1: $i, T2: $i] : ((~reorganization_free(X, T1, T2)) | reorganization_free(X, T2, T1))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[17, 13])).
% 0.12/0.41 tff(19,plain,(
% 0.12/0.41 ![X: $i, T1: $i, T2: $i] : ((~reorganization_free(X, T1, T2)) | reorganization_free(X, T2, T1))),
% 0.12/0.41 inference(skolemize,[status(sab)],[18])).
% 0.12/0.41 tff(20,plain,
% 0.12/0.41 (![X: $i, T1: $i, T2: $i] : ((~reorganization_free(X, T1, T2)) | reorganization_free(X, T2, T1))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[19, 12])).
% 0.12/0.41 tff(21,plain,
% 0.12/0.41 (((~![X: $i, T1: $i, T2: $i] : ((~reorganization_free(X, T1, T2)) | reorganization_free(X, T2, T1))) | ((~reorganization_free(X!6, T1!1, T2!0)) | reorganization_free(X!6, T2!0, T1!1))) <=> ((~![X: $i, T1: $i, T2: $i] : ((~reorganization_free(X, T1, T2)) | reorganization_free(X, T2, T1))) | (~reorganization_free(X!6, T1!1, T2!0)) | reorganization_free(X!6, T2!0, T1!1))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(22,plain,
% 0.12/0.41 ((~![X: $i, T1: $i, T2: $i] : ((~reorganization_free(X, T1, T2)) | reorganization_free(X, T2, T1))) | ((~reorganization_free(X!6, T1!1, T2!0)) | reorganization_free(X!6, T2!0, T1!1))),
% 0.12/0.41 inference(quant_inst,[status(thm)],[])).
% 0.12/0.41 tff(23,plain,
% 0.12/0.41 ((~![X: $i, T1: $i, T2: $i] : ((~reorganization_free(X, T1, T2)) | reorganization_free(X, T2, T1))) | (~reorganization_free(X!6, T1!1, T2!0)) | reorganization_free(X!6, T2!0, T1!1)),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[22, 21])).
% 0.12/0.41 tff(24,plain,
% 0.12/0.41 (reorganization_free(X!6, T2!0, T1!1)),
% 0.12/0.41 inference(unit_resolution,[status(thm)],[23, 20, 10])).
% 0.12/0.41 tff(25,plain,
% 0.12/0.41 (greater(S2!2, S1!3)),
% 0.12/0.41 inference(and_elim,[status(thm)],[9])).
% 0.12/0.41 tff(26,plain,
% 0.12/0.41 (size(X!6, S2!2, T2!0)),
% 0.12/0.41 inference(and_elim,[status(thm)],[9])).
% 0.12/0.41 tff(27,plain,
% 0.12/0.41 (size(X!6, S1!3, T1!1)),
% 0.12/0.41 inference(and_elim,[status(thm)],[9])).
% 0.12/0.41 tff(28,plain,
% 0.12/0.41 (organization(X!6, T2!0)),
% 0.12/0.41 inference(and_elim,[status(thm)],[9])).
% 0.12/0.41 tff(29,plain,
% 0.12/0.41 (organization(X!6, T1!1)),
% 0.12/0.41 inference(and_elim,[status(thm)],[9])).
% 0.12/0.41 tff(30,plain,
% 0.12/0.41 (^[X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : refl(((~greater(S1, S2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)) | (~greater(T2, T1)) | (~reorganization_free(X, T1, T2))) <=> ((~greater(S1, S2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)) | (~greater(T2, T1)) | (~reorganization_free(X, T1, T2))))),
% 0.12/0.41 inference(bind,[status(th)],[])).
% 0.12/0.41 tff(31,plain,
% 0.12/0.41 (![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~greater(S1, S2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)) | (~greater(T2, T1)) | (~reorganization_free(X, T1, T2))) <=> ![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~greater(S1, S2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)) | (~greater(T2, T1)) | (~reorganization_free(X, T1, T2)))),
% 0.12/0.41 inference(quant_intro,[status(thm)],[30])).
% 0.12/0.41 tff(32,plain,
% 0.12/0.41 (^[X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1) & size(X, S2, T2) & greater(T2, T1)) <=> (~((~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)) | (~greater(T2, T1)) | (~reorganization_free(X, T1, T2))))), ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1) & size(X, S2, T2) & greater(T2, T1))) <=> (~(~((~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)) | (~greater(T2, T1)) | (~reorganization_free(X, T1, T2))))))), rewrite((~(~((~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)) | (~greater(T2, T1)) | (~reorganization_free(X, T1, T2))))) <=> ((~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)) | (~greater(T2, T1)) | (~reorganization_free(X, T1, T2)))), ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1) & size(X, S2, T2) & greater(T2, T1))) <=> ((~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)) | (~greater(T2, T1)) | (~reorganization_free(X, T1, T2))))), (((~greater(S1, S2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1) & size(X, S2, T2) & greater(T2, T1)))) <=> ((~greater(S1, S2)) | ((~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)) | (~greater(T2, T1)) | (~reorganization_free(X, T1, T2)))))), rewrite(((~greater(S1, S2)) | ((~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)) | (~greater(T2, T1)) | (~reorganization_free(X, T1, T2)))) <=> ((~greater(S1, S2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)) | (~greater(T2, T1)) | (~reorganization_free(X, T1, T2)))), (((~greater(S1, S2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1) & size(X, S2, T2) & greater(T2, T1)))) <=> ((~greater(S1, S2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)) | (~greater(T2, T1)) | (~reorganization_free(X, T1, T2)))))),
% 0.12/0.41 inference(bind,[status(th)],[])).
% 0.12/0.41 tff(33,plain,
% 0.12/0.41 (![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~greater(S1, S2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1) & size(X, S2, T2) & greater(T2, T1)))) <=> ![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~greater(S1, S2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)) | (~greater(T2, T1)) | (~reorganization_free(X, T1, T2)))),
% 0.12/0.41 inference(quant_intro,[status(thm)],[32])).
% 0.12/0.41 tff(34,plain,
% 0.12/0.41 (![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~greater(S1, S2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1) & size(X, S2, T2) & greater(T2, T1)))) <=> ![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~greater(S1, S2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1) & size(X, S2, T2) & greater(T2, T1))))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(35,plain,
% 0.12/0.41 (^[X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2))), ((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & size(X, S1, T1)) <=> ((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2)) & size(X, S1, T1)))), rewrite(((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2)) & size(X, S1, T1)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1))), ((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & size(X, S1, T1)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1)))), (((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & size(X, S1, T1)) & size(X, S2, T2)) <=> ((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1)) & size(X, S2, T2)))), rewrite(((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1)) & size(X, S2, T2)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1) & size(X, S2, T2))), (((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & size(X, S1, T1)) & size(X, S2, T2)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1) & size(X, S2, T2)))), ((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & size(X, S1, T1)) & size(X, S2, T2)) & greater(T2, T1)) <=> ((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1) & size(X, S2, T2)) & greater(T2, T1)))), rewrite(((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1) & size(X, S2, T2)) & greater(T2, T1)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1) & size(X, S2, T2) & greater(T2, T1))), ((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & size(X, S1, T1)) & size(X, S2, T2)) & greater(T2, T1)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1) & size(X, S2, T2) & greater(T2, T1)))), (((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & size(X, S1, T1)) & size(X, S2, T2)) & greater(T2, T1)) => (~greater(S1, S2))) <=> ((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1) & size(X, S2, T2) & greater(T2, T1)) => (~greater(S1, S2))))), rewrite(((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1) & size(X, S2, T2) & greater(T2, T1)) => (~greater(S1, S2))) <=> ((~greater(S1, S2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1) & size(X, S2, T2) & greater(T2, T1))))), (((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & size(X, S1, T1)) & size(X, S2, T2)) & greater(T2, T1)) => (~greater(S1, S2))) <=> ((~greater(S1, S2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1) & size(X, S2, T2) & greater(T2, T1))))))),
% 0.12/0.41 inference(bind,[status(th)],[])).
% 0.12/0.41 tff(36,plain,
% 0.12/0.41 (![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & size(X, S1, T1)) & size(X, S2, T2)) & greater(T2, T1)) => (~greater(S1, S2))) <=> ![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~greater(S1, S2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1) & size(X, S2, T2) & greater(T2, T1))))),
% 0.12/0.41 inference(quant_intro,[status(thm)],[35])).
% 0.12/0.41 tff(37,axiom,(![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & size(X, S1, T1)) & size(X, S2, T2)) & greater(T2, T1)) => (~greater(S1, S2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','t11_FOL')).
% 0.12/0.42 tff(38,plain,
% 0.12/0.42 (![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~greater(S1, S2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1) & size(X, S2, T2) & greater(T2, T1))))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[37, 36])).
% 0.12/0.42 tff(39,plain,
% 0.12/0.42 (![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~greater(S1, S2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1) & size(X, S2, T2) & greater(T2, T1))))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[38, 34])).
% 0.12/0.42 tff(40,plain,(
% 0.12/0.42 ![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~greater(S1, S2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1) & size(X, S2, T2) & greater(T2, T1))))),
% 0.12/0.42 inference(skolemize,[status(sab)],[39])).
% 0.12/0.42 tff(41,plain,
% 0.12/0.42 (![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~greater(S1, S2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)) | (~greater(T2, T1)) | (~reorganization_free(X, T1, T2)))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[40, 33])).
% 0.12/0.42 tff(42,plain,
% 0.12/0.42 (![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~greater(S1, S2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)) | (~greater(T2, T1)) | (~reorganization_free(X, T1, T2)))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[41, 31])).
% 0.12/0.42 tff(43,plain,
% 0.12/0.42 (((~![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~greater(S1, S2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)) | (~greater(T2, T1)) | (~reorganization_free(X, T1, T2)))) | ((~greater(S2!2, S1!3)) | (~organization(X!6, T1!1)) | (~organization(X!6, T2!0)) | (~size(X!6, S1!3, T1!1)) | (~size(X!6, S2!2, T2!0)) | (~greater(T1!1, T2!0)) | (~reorganization_free(X!6, T2!0, T1!1)))) <=> ((~![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~greater(S1, S2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)) | (~greater(T2, T1)) | (~reorganization_free(X, T1, T2)))) | (~greater(S2!2, S1!3)) | (~organization(X!6, T1!1)) | (~organization(X!6, T2!0)) | (~size(X!6, S1!3, T1!1)) | (~size(X!6, S2!2, T2!0)) | (~greater(T1!1, T2!0)) | (~reorganization_free(X!6, T2!0, T1!1)))),
% 0.12/0.42 inference(rewrite,[status(thm)],[])).
% 0.12/0.42 tff(44,plain,
% 0.12/0.42 (((~greater(S2!2, S1!3)) | (~organization(X!6, T2!0)) | (~organization(X!6, T1!1)) | (~size(X!6, S2!2, T2!0)) | (~size(X!6, S1!3, T1!1)) | (~greater(T1!1, T2!0)) | (~reorganization_free(X!6, T2!0, T1!1))) <=> ((~greater(S2!2, S1!3)) | (~organization(X!6, T1!1)) | (~organization(X!6, T2!0)) | (~size(X!6, S1!3, T1!1)) | (~size(X!6, S2!2, T2!0)) | (~greater(T1!1, T2!0)) | (~reorganization_free(X!6, T2!0, T1!1)))),
% 0.12/0.42 inference(rewrite,[status(thm)],[])).
% 0.12/0.42 tff(45,plain,
% 0.12/0.42 (((~![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~greater(S1, S2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)) | (~greater(T2, T1)) | (~reorganization_free(X, T1, T2)))) | ((~greater(S2!2, S1!3)) | (~organization(X!6, T2!0)) | (~organization(X!6, T1!1)) | (~size(X!6, S2!2, T2!0)) | (~size(X!6, S1!3, T1!1)) | (~greater(T1!1, T2!0)) | (~reorganization_free(X!6, T2!0, T1!1)))) <=> ((~![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~greater(S1, S2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)) | (~greater(T2, T1)) | (~reorganization_free(X, T1, T2)))) | ((~greater(S2!2, S1!3)) | (~organization(X!6, T1!1)) | (~organization(X!6, T2!0)) | (~size(X!6, S1!3, T1!1)) | (~size(X!6, S2!2, T2!0)) | (~greater(T1!1, T2!0)) | (~reorganization_free(X!6, T2!0, T1!1))))),
% 0.12/0.42 inference(monotonicity,[status(thm)],[44])).
% 0.12/0.42 tff(46,plain,
% 0.12/0.42 (((~![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~greater(S1, S2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)) | (~greater(T2, T1)) | (~reorganization_free(X, T1, T2)))) | ((~greater(S2!2, S1!3)) | (~organization(X!6, T2!0)) | (~organization(X!6, T1!1)) | (~size(X!6, S2!2, T2!0)) | (~size(X!6, S1!3, T1!1)) | (~greater(T1!1, T2!0)) | (~reorganization_free(X!6, T2!0, T1!1)))) <=> ((~![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~greater(S1, S2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)) | (~greater(T2, T1)) | (~reorganization_free(X, T1, T2)))) | (~greater(S2!2, S1!3)) | (~organization(X!6, T1!1)) | (~organization(X!6, T2!0)) | (~size(X!6, S1!3, T1!1)) | (~size(X!6, S2!2, T2!0)) | (~greater(T1!1, T2!0)) | (~reorganization_free(X!6, T2!0, T1!1)))),
% 0.12/0.42 inference(transitivity,[status(thm)],[45, 43])).
% 0.12/0.42 tff(47,plain,
% 0.12/0.42 ((~![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~greater(S1, S2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)) | (~greater(T2, T1)) | (~reorganization_free(X, T1, T2)))) | ((~greater(S2!2, S1!3)) | (~organization(X!6, T2!0)) | (~organization(X!6, T1!1)) | (~size(X!6, S2!2, T2!0)) | (~size(X!6, S1!3, T1!1)) | (~greater(T1!1, T2!0)) | (~reorganization_free(X!6, T2!0, T1!1)))),
% 0.12/0.42 inference(quant_inst,[status(thm)],[])).
% 0.12/0.42 tff(48,plain,
% 0.12/0.42 ((~![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~greater(S1, S2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)) | (~greater(T2, T1)) | (~reorganization_free(X, T1, T2)))) | (~greater(S2!2, S1!3)) | (~organization(X!6, T1!1)) | (~organization(X!6, T2!0)) | (~size(X!6, S1!3, T1!1)) | (~size(X!6, S2!2, T2!0)) | (~greater(T1!1, T2!0)) | (~reorganization_free(X!6, T2!0, T1!1))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[47, 46])).
% 0.12/0.42 tff(49,plain,
% 0.12/0.42 (~greater(T1!1, T2!0)),
% 0.12/0.42 inference(unit_resolution,[status(thm)],[48, 42, 29, 28, 27, 26, 25, 24])).
% 0.12/0.42 tff(50,plain,
% 0.12/0.42 (complexity(X!6, C2!4, T2!0)),
% 0.12/0.42 inference(and_elim,[status(thm)],[9])).
% 0.12/0.42 tff(51,plain,
% 0.12/0.42 (complexity(X!6, C1!5, T1!1)),
% 0.12/0.42 inference(and_elim,[status(thm)],[9])).
% 0.12/0.42 tff(52,plain,
% 0.12/0.42 (greater(C1!5, C2!4)),
% 0.12/0.42 inference(or_elim,[status(thm)],[8])).
% 0.12/0.42 tff(53,plain,
% 0.12/0.42 (^[X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : refl(((~greater(C1, C2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~greater(T2, T1)) | (~reorganization_free(X, T1, T2)) | (~complexity(X, C1, T1)) | (~complexity(X, C2, T2))) <=> ((~greater(C1, C2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~greater(T2, T1)) | (~reorganization_free(X, T1, T2)) | (~complexity(X, C1, T1)) | (~complexity(X, C2, T2))))),
% 0.12/0.42 inference(bind,[status(th)],[])).
% 0.12/0.42 tff(54,plain,
% 0.12/0.42 (![X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : ((~greater(C1, C2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~greater(T2, T1)) | (~reorganization_free(X, T1, T2)) | (~complexity(X, C1, T1)) | (~complexity(X, C2, T2))) <=> ![X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : ((~greater(C1, C2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~greater(T2, T1)) | (~reorganization_free(X, T1, T2)) | (~complexity(X, C1, T1)) | (~complexity(X, C2, T2)))),
% 0.12/0.42 inference(quant_intro,[status(thm)],[53])).
% 0.12/0.42 tff(55,plain,
% 0.12/0.42 (^[X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2) & greater(T2, T1)) <=> (~((~organization(X, T1)) | (~organization(X, T2)) | (~greater(T2, T1)) | (~reorganization_free(X, T1, T2)) | (~complexity(X, C1, T1)) | (~complexity(X, C2, T2))))), ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2) & greater(T2, T1))) <=> (~(~((~organization(X, T1)) | (~organization(X, T2)) | (~greater(T2, T1)) | (~reorganization_free(X, T1, T2)) | (~complexity(X, C1, T1)) | (~complexity(X, C2, T2))))))), rewrite((~(~((~organization(X, T1)) | (~organization(X, T2)) | (~greater(T2, T1)) | (~reorganization_free(X, T1, T2)) | (~complexity(X, C1, T1)) | (~complexity(X, C2, T2))))) <=> ((~organization(X, T1)) | (~organization(X, T2)) | (~greater(T2, T1)) | (~reorganization_free(X, T1, T2)) | (~complexity(X, C1, T1)) | (~complexity(X, C2, T2)))), ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2) & greater(T2, T1))) <=> ((~organization(X, T1)) | (~organization(X, T2)) | (~greater(T2, T1)) | (~reorganization_free(X, T1, T2)) | (~complexity(X, C1, T1)) | (~complexity(X, C2, T2))))), (((~greater(C1, C2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2) & greater(T2, T1)))) <=> ((~greater(C1, C2)) | ((~organization(X, T1)) | (~organization(X, T2)) | (~greater(T2, T1)) | (~reorganization_free(X, T1, T2)) | (~complexity(X, C1, T1)) | (~complexity(X, C2, T2)))))), rewrite(((~greater(C1, C2)) | ((~organization(X, T1)) | (~organization(X, T2)) | (~greater(T2, T1)) | (~reorganization_free(X, T1, T2)) | (~complexity(X, C1, T1)) | (~complexity(X, C2, T2)))) <=> ((~greater(C1, C2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~greater(T2, T1)) | (~reorganization_free(X, T1, T2)) | (~complexity(X, C1, T1)) | (~complexity(X, C2, T2)))), (((~greater(C1, C2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2) & greater(T2, T1)))) <=> ((~greater(C1, C2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~greater(T2, T1)) | (~reorganization_free(X, T1, T2)) | (~complexity(X, C1, T1)) | (~complexity(X, C2, T2)))))),
% 0.12/0.42 inference(bind,[status(th)],[])).
% 0.12/0.42 tff(56,plain,
% 0.12/0.42 (![X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : ((~greater(C1, C2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2) & greater(T2, T1)))) <=> ![X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : ((~greater(C1, C2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~greater(T2, T1)) | (~reorganization_free(X, T1, T2)) | (~complexity(X, C1, T1)) | (~complexity(X, C2, T2)))),
% 0.12/0.42 inference(quant_intro,[status(thm)],[55])).
% 0.12/0.42 tff(57,plain,
% 0.12/0.42 (![X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : ((~greater(C1, C2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2) & greater(T2, T1)))) <=> ![X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : ((~greater(C1, C2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2) & greater(T2, T1))))),
% 0.12/0.42 inference(rewrite,[status(thm)],[])).
% 0.12/0.42 tff(58,plain,
% 0.12/0.42 (^[X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2))), ((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & complexity(X, C1, T1)) <=> ((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2)) & complexity(X, C1, T1)))), rewrite(((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2)) & complexity(X, C1, T1)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1))), ((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & complexity(X, C1, T1)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1)))), (((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & complexity(X, C1, T1)) & complexity(X, C2, T2)) <=> ((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1)) & complexity(X, C2, T2)))), rewrite(((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1)) & complexity(X, C2, T2)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2))), (((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & complexity(X, C1, T1)) & complexity(X, C2, T2)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2)))), ((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & complexity(X, C1, T1)) & complexity(X, C2, T2)) & greater(T2, T1)) <=> ((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2)) & greater(T2, T1)))), rewrite(((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2)) & greater(T2, T1)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2) & greater(T2, T1))), ((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & complexity(X, C1, T1)) & complexity(X, C2, T2)) & greater(T2, T1)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2) & greater(T2, T1)))), (((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & complexity(X, C1, T1)) & complexity(X, C2, T2)) & greater(T2, T1)) => (~greater(C1, C2))) <=> ((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2) & greater(T2, T1)) => (~greater(C1, C2))))), rewrite(((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2) & greater(T2, T1)) => (~greater(C1, C2))) <=> ((~greater(C1, C2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2) & greater(T2, T1))))), (((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & complexity(X, C1, T1)) & complexity(X, C2, T2)) & greater(T2, T1)) => (~greater(C1, C2))) <=> ((~greater(C1, C2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2) & greater(T2, T1))))))),
% 0.12/0.42 inference(bind,[status(th)],[])).
% 0.12/0.42 tff(59,plain,
% 0.12/0.42 (![X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : ((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & complexity(X, C1, T1)) & complexity(X, C2, T2)) & greater(T2, T1)) => (~greater(C1, C2))) <=> ![X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : ((~greater(C1, C2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2) & greater(T2, T1))))),
% 0.12/0.42 inference(quant_intro,[status(thm)],[58])).
% 0.12/0.42 tff(60,axiom,(![X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : ((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & complexity(X, C1, T1)) & complexity(X, C2, T2)) & greater(T2, T1)) => (~greater(C1, C2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','t12_FOL')).
% 0.12/0.42 tff(61,plain,
% 0.12/0.42 (![X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : ((~greater(C1, C2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2) & greater(T2, T1))))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[60, 59])).
% 0.12/0.42 tff(62,plain,
% 0.12/0.42 (![X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : ((~greater(C1, C2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2) & greater(T2, T1))))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[61, 57])).
% 0.12/0.42 tff(63,plain,(
% 0.12/0.42 ![X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : ((~greater(C1, C2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2) & greater(T2, T1))))),
% 0.12/0.42 inference(skolemize,[status(sab)],[62])).
% 0.12/0.42 tff(64,plain,
% 0.12/0.42 (![X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : ((~greater(C1, C2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~greater(T2, T1)) | (~reorganization_free(X, T1, T2)) | (~complexity(X, C1, T1)) | (~complexity(X, C2, T2)))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[63, 56])).
% 0.12/0.42 tff(65,plain,
% 0.12/0.42 (![X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : ((~greater(C1, C2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~greater(T2, T1)) | (~reorganization_free(X, T1, T2)) | (~complexity(X, C1, T1)) | (~complexity(X, C2, T2)))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[64, 54])).
% 0.12/0.42 tff(66,plain,
% 0.12/0.42 (((~![X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : ((~greater(C1, C2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~greater(T2, T1)) | (~reorganization_free(X, T1, T2)) | (~complexity(X, C1, T1)) | (~complexity(X, C2, T2)))) | ((~greater(C1!5, C2!4)) | (~organization(X!6, T1!1)) | (~organization(X!6, T2!0)) | (~greater(T2!0, T1!1)) | (~reorganization_free(X!6, T1!1, T2!0)) | (~complexity(X!6, C1!5, T1!1)) | (~complexity(X!6, C2!4, T2!0)))) <=> ((~![X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : ((~greater(C1, C2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~greater(T2, T1)) | (~reorganization_free(X, T1, T2)) | (~complexity(X, C1, T1)) | (~complexity(X, C2, T2)))) | (~greater(C1!5, C2!4)) | (~organization(X!6, T1!1)) | (~organization(X!6, T2!0)) | (~greater(T2!0, T1!1)) | (~reorganization_free(X!6, T1!1, T2!0)) | (~complexity(X!6, C1!5, T1!1)) | (~complexity(X!6, C2!4, T2!0)))),
% 0.12/0.42 inference(rewrite,[status(thm)],[])).
% 0.12/0.42 tff(67,plain,
% 0.12/0.42 ((~![X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : ((~greater(C1, C2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~greater(T2, T1)) | (~reorganization_free(X, T1, T2)) | (~complexity(X, C1, T1)) | (~complexity(X, C2, T2)))) | ((~greater(C1!5, C2!4)) | (~organization(X!6, T1!1)) | (~organization(X!6, T2!0)) | (~greater(T2!0, T1!1)) | (~reorganization_free(X!6, T1!1, T2!0)) | (~complexity(X!6, C1!5, T1!1)) | (~complexity(X!6, C2!4, T2!0)))),
% 0.12/0.42 inference(quant_inst,[status(thm)],[])).
% 0.12/0.42 tff(68,plain,
% 0.12/0.42 ((~![X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : ((~greater(C1, C2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~greater(T2, T1)) | (~reorganization_free(X, T1, T2)) | (~complexity(X, C1, T1)) | (~complexity(X, C2, T2)))) | (~greater(C1!5, C2!4)) | (~organization(X!6, T1!1)) | (~organization(X!6, T2!0)) | (~greater(T2!0, T1!1)) | (~reorganization_free(X!6, T1!1, T2!0)) | (~complexity(X!6, C1!5, T1!1)) | (~complexity(X!6, C2!4, T2!0))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[67, 66])).
% 0.12/0.42 tff(69,plain,
% 0.12/0.42 (~greater(T2!0, T1!1)),
% 0.12/0.42 inference(unit_resolution,[status(thm)],[68, 65, 52, 29, 28, 10, 51, 50])).
% 0.12/0.42 tff(70,plain,
% 0.12/0.42 (^[X: $i, T: $i] : refl((time(T) | (~organization(X, T))) <=> (time(T) | (~organization(X, T))))),
% 0.12/0.42 inference(bind,[status(th)],[])).
% 0.12/0.42 tff(71,plain,
% 0.12/0.42 (![X: $i, T: $i] : (time(T) | (~organization(X, T))) <=> ![X: $i, T: $i] : (time(T) | (~organization(X, T)))),
% 0.12/0.42 inference(quant_intro,[status(thm)],[70])).
% 0.12/0.42 tff(72,plain,
% 0.12/0.42 (![X: $i, T: $i] : (time(T) | (~organization(X, T))) <=> ![X: $i, T: $i] : (time(T) | (~organization(X, T)))),
% 0.12/0.42 inference(rewrite,[status(thm)],[])).
% 0.12/0.42 tff(73,plain,
% 0.12/0.42 (^[X: $i, T: $i] : rewrite((organization(X, T) => time(T)) <=> (time(T) | (~organization(X, T))))),
% 0.12/0.42 inference(bind,[status(th)],[])).
% 0.12/0.42 tff(74,plain,
% 0.12/0.42 (![X: $i, T: $i] : (organization(X, T) => time(T)) <=> ![X: $i, T: $i] : (time(T) | (~organization(X, T)))),
% 0.12/0.42 inference(quant_intro,[status(thm)],[73])).
% 0.12/0.42 tff(75,axiom,(![X: $i, T: $i] : (organization(X, T) => time(T))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp15')).
% 0.12/0.42 tff(76,plain,
% 0.12/0.42 (![X: $i, T: $i] : (time(T) | (~organization(X, T)))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[75, 74])).
% 0.12/0.42 tff(77,plain,
% 0.12/0.42 (![X: $i, T: $i] : (time(T) | (~organization(X, T)))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[76, 72])).
% 0.12/0.42 tff(78,plain,(
% 0.12/0.42 ![X: $i, T: $i] : (time(T) | (~organization(X, T)))),
% 0.12/0.42 inference(skolemize,[status(sab)],[77])).
% 0.12/0.42 tff(79,plain,
% 0.12/0.42 (![X: $i, T: $i] : (time(T) | (~organization(X, T)))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[78, 71])).
% 0.12/0.42 tff(80,plain,
% 0.12/0.42 (((~![X: $i, T: $i] : (time(T) | (~organization(X, T)))) | (time(T2!0) | (~organization(X!6, T2!0)))) <=> ((~![X: $i, T: $i] : (time(T) | (~organization(X, T)))) | time(T2!0) | (~organization(X!6, T2!0)))),
% 0.12/0.42 inference(rewrite,[status(thm)],[])).
% 0.12/0.42 tff(81,plain,
% 0.12/0.42 ((~![X: $i, T: $i] : (time(T) | (~organization(X, T)))) | (time(T2!0) | (~organization(X!6, T2!0)))),
% 0.12/0.42 inference(quant_inst,[status(thm)],[])).
% 0.12/0.42 tff(82,plain,
% 0.12/0.42 ((~![X: $i, T: $i] : (time(T) | (~organization(X, T)))) | time(T2!0) | (~organization(X!6, T2!0))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[81, 80])).
% 0.12/0.42 tff(83,plain,
% 0.12/0.42 (time(T2!0)),
% 0.12/0.42 inference(unit_resolution,[status(thm)],[82, 79, 28])).
% 0.12/0.42 tff(84,plain,
% 0.12/0.42 (((~![X: $i, T: $i] : (time(T) | (~organization(X, T)))) | (time(T1!1) | (~organization(X!6, T1!1)))) <=> ((~![X: $i, T: $i] : (time(T) | (~organization(X, T)))) | time(T1!1) | (~organization(X!6, T1!1)))),
% 0.12/0.42 inference(rewrite,[status(thm)],[])).
% 0.12/0.42 tff(85,plain,
% 0.12/0.42 ((~![X: $i, T: $i] : (time(T) | (~organization(X, T)))) | (time(T1!1) | (~organization(X!6, T1!1)))),
% 0.12/0.42 inference(quant_inst,[status(thm)],[])).
% 0.12/0.42 tff(86,plain,
% 0.12/0.42 ((~![X: $i, T: $i] : (time(T) | (~organization(X, T)))) | time(T1!1) | (~organization(X!6, T1!1))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[85, 84])).
% 0.12/0.42 tff(87,plain,
% 0.12/0.42 (time(T1!1)),
% 0.12/0.42 inference(unit_resolution,[status(thm)],[86, 79, 29])).
% 0.12/0.42 tff(88,plain,
% 0.12/0.42 (^[T1: $i, T2: $i] : refl(((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~time(T1)) | (~time(T2))) <=> ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~time(T1)) | (~time(T2))))),
% 0.12/0.42 inference(bind,[status(th)],[])).
% 0.12/0.42 tff(89,plain,
% 0.12/0.42 (![T1: $i, T2: $i] : ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~time(T1)) | (~time(T2))) <=> ![T1: $i, T2: $i] : ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~time(T1)) | (~time(T2)))),
% 0.12/0.42 inference(quant_intro,[status(thm)],[88])).
% 0.12/0.42 tff(90,plain,
% 0.12/0.42 (^[T1: $i, T2: $i] : trans(monotonicity(trans(monotonicity(rewrite((time(T1) & time(T2)) <=> (~((~time(T1)) | (~time(T2))))), ((~(time(T1) & time(T2))) <=> (~(~((~time(T1)) | (~time(T2))))))), rewrite((~(~((~time(T1)) | (~time(T2))))) <=> ((~time(T1)) | (~time(T2)))), ((~(time(T1) & time(T2))) <=> ((~time(T1)) | (~time(T2))))), (((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~(time(T1) & time(T2)))) <=> ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | ((~time(T1)) | (~time(T2)))))), rewrite(((T1 = T2) | greater(T1, T2) | greater(T2, T1) | ((~time(T1)) | (~time(T2)))) <=> ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~time(T1)) | (~time(T2)))), (((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~(time(T1) & time(T2)))) <=> ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~time(T1)) | (~time(T2)))))),
% 0.12/0.42 inference(bind,[status(th)],[])).
% 0.12/0.42 tff(91,plain,
% 0.12/0.42 (![T1: $i, T2: $i] : ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~(time(T1) & time(T2)))) <=> ![T1: $i, T2: $i] : ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~time(T1)) | (~time(T2)))),
% 0.12/0.42 inference(quant_intro,[status(thm)],[90])).
% 0.12/0.42 tff(92,plain,
% 0.12/0.42 (![T1: $i, T2: $i] : ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~(time(T1) & time(T2)))) <=> ![T1: $i, T2: $i] : ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~(time(T1) & time(T2))))),
% 0.12/0.42 inference(rewrite,[status(thm)],[])).
% 0.12/0.42 tff(93,plain,
% 0.12/0.42 (^[T1: $i, T2: $i] : trans(monotonicity(trans(monotonicity(rewrite((greater(T1, T2) | (T1 = T2)) <=> ((T1 = T2) | greater(T1, T2))), (((greater(T1, T2) | (T1 = T2)) | greater(T2, T1)) <=> (((T1 = T2) | greater(T1, T2)) | greater(T2, T1)))), rewrite((((T1 = T2) | greater(T1, T2)) | greater(T2, T1)) <=> ((T1 = T2) | greater(T1, T2) | greater(T2, T1))), (((greater(T1, T2) | (T1 = T2)) | greater(T2, T1)) <=> ((T1 = T2) | greater(T1, T2) | greater(T2, T1)))), (((time(T1) & time(T2)) => ((greater(T1, T2) | (T1 = T2)) | greater(T2, T1))) <=> ((time(T1) & time(T2)) => ((T1 = T2) | greater(T1, T2) | greater(T2, T1))))), rewrite(((time(T1) & time(T2)) => ((T1 = T2) | greater(T1, T2) | greater(T2, T1))) <=> ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~(time(T1) & time(T2))))), (((time(T1) & time(T2)) => ((greater(T1, T2) | (T1 = T2)) | greater(T2, T1))) <=> ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~(time(T1) & time(T2))))))),
% 0.12/0.42 inference(bind,[status(th)],[])).
% 0.12/0.43 tff(94,plain,
% 0.12/0.43 (![T1: $i, T2: $i] : ((time(T1) & time(T2)) => ((greater(T1, T2) | (T1 = T2)) | greater(T2, T1))) <=> ![T1: $i, T2: $i] : ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~(time(T1) & time(T2))))),
% 0.12/0.43 inference(quant_intro,[status(thm)],[93])).
% 0.12/0.43 tff(95,axiom,(![T1: $i, T2: $i] : ((time(T1) & time(T2)) => ((greater(T1, T2) | (T1 = T2)) | greater(T2, T1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp16')).
% 0.12/0.43 tff(96,plain,
% 0.12/0.43 (![T1: $i, T2: $i] : ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~(time(T1) & time(T2))))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[95, 94])).
% 0.12/0.43 tff(97,plain,
% 0.12/0.43 (![T1: $i, T2: $i] : ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~(time(T1) & time(T2))))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[96, 92])).
% 0.12/0.43 tff(98,plain,(
% 0.12/0.43 ![T1: $i, T2: $i] : ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~(time(T1) & time(T2))))),
% 0.12/0.43 inference(skolemize,[status(sab)],[97])).
% 0.12/0.43 tff(99,plain,
% 0.12/0.43 (![T1: $i, T2: $i] : ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~time(T1)) | (~time(T2)))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[98, 91])).
% 0.12/0.43 tff(100,plain,
% 0.12/0.43 (![T1: $i, T2: $i] : ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~time(T1)) | (~time(T2)))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[99, 89])).
% 0.12/0.43 tff(101,plain,
% 0.12/0.43 (((~![T1: $i, T2: $i] : ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~time(T1)) | (~time(T2)))) | (greater(T2!0, T1!1) | greater(T1!1, T2!0) | (T1!1 = T2!0) | (~time(T1!1)) | (~time(T2!0)))) <=> ((~![T1: $i, T2: $i] : ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~time(T1)) | (~time(T2)))) | greater(T2!0, T1!1) | greater(T1!1, T2!0) | (T1!1 = T2!0) | (~time(T1!1)) | (~time(T2!0)))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(102,plain,
% 0.12/0.43 (((T1!1 = T2!0) | greater(T1!1, T2!0) | greater(T2!0, T1!1) | (~time(T1!1)) | (~time(T2!0))) <=> (greater(T2!0, T1!1) | greater(T1!1, T2!0) | (T1!1 = T2!0) | (~time(T1!1)) | (~time(T2!0)))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(103,plain,
% 0.12/0.43 (((~![T1: $i, T2: $i] : ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~time(T1)) | (~time(T2)))) | ((T1!1 = T2!0) | greater(T1!1, T2!0) | greater(T2!0, T1!1) | (~time(T1!1)) | (~time(T2!0)))) <=> ((~![T1: $i, T2: $i] : ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~time(T1)) | (~time(T2)))) | (greater(T2!0, T1!1) | greater(T1!1, T2!0) | (T1!1 = T2!0) | (~time(T1!1)) | (~time(T2!0))))),
% 0.12/0.43 inference(monotonicity,[status(thm)],[102])).
% 0.12/0.43 tff(104,plain,
% 0.12/0.43 (((~![T1: $i, T2: $i] : ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~time(T1)) | (~time(T2)))) | ((T1!1 = T2!0) | greater(T1!1, T2!0) | greater(T2!0, T1!1) | (~time(T1!1)) | (~time(T2!0)))) <=> ((~![T1: $i, T2: $i] : ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~time(T1)) | (~time(T2)))) | greater(T2!0, T1!1) | greater(T1!1, T2!0) | (T1!1 = T2!0) | (~time(T1!1)) | (~time(T2!0)))),
% 0.12/0.43 inference(transitivity,[status(thm)],[103, 101])).
% 0.12/0.43 tff(105,plain,
% 0.12/0.43 ((~![T1: $i, T2: $i] : ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~time(T1)) | (~time(T2)))) | ((T1!1 = T2!0) | greater(T1!1, T2!0) | greater(T2!0, T1!1) | (~time(T1!1)) | (~time(T2!0)))),
% 0.12/0.43 inference(quant_inst,[status(thm)],[])).
% 0.12/0.43 tff(106,plain,
% 0.12/0.43 ((~![T1: $i, T2: $i] : ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~time(T1)) | (~time(T2)))) | greater(T2!0, T1!1) | greater(T1!1, T2!0) | (T1!1 = T2!0) | (~time(T1!1)) | (~time(T2!0))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[105, 104])).
% 0.12/0.43 tff(107,plain,
% 0.12/0.43 (T1!1 = T2!0),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[106, 100, 87, 83, 69, 49])).
% 0.12/0.43 tff(108,plain,
% 0.12/0.43 (T2!0 = T1!1),
% 0.12/0.43 inference(symmetry,[status(thm)],[107])).
% 0.12/0.43 tff(109,plain,
% 0.12/0.43 (size(X!6, S1!3, T2!0) <=> size(X!6, S1!3, T1!1)),
% 0.12/0.43 inference(monotonicity,[status(thm)],[108])).
% 0.12/0.43 tff(110,plain,
% 0.12/0.43 (size(X!6, S1!3, T1!1) <=> size(X!6, S1!3, T2!0)),
% 0.12/0.43 inference(symmetry,[status(thm)],[109])).
% 0.12/0.43 tff(111,plain,
% 0.12/0.43 (size(X!6, S1!3, T2!0)),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[27, 110])).
% 0.12/0.43 tff(112,plain,
% 0.12/0.43 (^[X: $i, S1: $i, S2: $i, T2: $i] : refl(((S1 = S2) | (~organization(X, T2)) | (~size(X, S1, T2)) | (~size(X, S2, T2))) <=> ((S1 = S2) | (~organization(X, T2)) | (~size(X, S1, T2)) | (~size(X, S2, T2))))),
% 0.12/0.43 inference(bind,[status(th)],[])).
% 0.12/0.43 tff(113,plain,
% 0.12/0.43 (![X: $i, S1: $i, S2: $i, T2: $i] : ((S1 = S2) | (~organization(X, T2)) | (~size(X, S1, T2)) | (~size(X, S2, T2))) <=> ![X: $i, S1: $i, S2: $i, T2: $i] : ((S1 = S2) | (~organization(X, T2)) | (~size(X, S1, T2)) | (~size(X, S2, T2)))),
% 0.12/0.43 inference(quant_intro,[status(thm)],[112])).
% 0.12/0.43 tff(114,plain,
% 0.12/0.43 (![X: $i, S1: $i, S2: $i, T2: $i] : ((S1 = S2) | (~organization(X, T2)) | (~size(X, S1, T2)) | (~size(X, S2, T2))) <=> ![X: $i, S1: $i, S2: $i, T2: $i] : ((S1 = S2) | (~organization(X, T2)) | (~size(X, S1, T2)) | (~size(X, S2, T2)))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(115,plain,
% 0.12/0.43 (^[X: $i, S1: $i, S2: $i, T2: $i] : rewrite(((S1 = S2) | (~organization(X, T2)) | (~organization(X, T2)) | (~size(X, S1, T2)) | (~size(X, S2, T2))) <=> ((S1 = S2) | (~organization(X, T2)) | (~size(X, S1, T2)) | (~size(X, S2, T2))))),
% 0.12/0.43 inference(bind,[status(th)],[])).
% 0.12/0.43 tff(116,plain,
% 0.12/0.43 (![X: $i, S1: $i, S2: $i, T2: $i] : ((S1 = S2) | (~organization(X, T2)) | (~organization(X, T2)) | (~size(X, S1, T2)) | (~size(X, S2, T2))) <=> ![X: $i, S1: $i, S2: $i, T2: $i] : ((S1 = S2) | (~organization(X, T2)) | (~size(X, S1, T2)) | (~size(X, S2, T2)))),
% 0.12/0.43 inference(quant_intro,[status(thm)],[115])).
% 0.12/0.43 tff(117,plain,
% 0.12/0.43 (![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((S1 = S2) | (~organization(X, T2)) | (~organization(X, T2)) | (~size(X, S1, T2)) | (~size(X, S2, T2))) <=> ![X: $i, S1: $i, S2: $i, T2: $i] : ((S1 = S2) | (~organization(X, T2)) | (~organization(X, T2)) | (~size(X, S1, T2)) | (~size(X, S2, T2)))),
% 0.12/0.43 inference(elim_unused_vars,[status(thm)],[])).
% 0.12/0.43 tff(118,plain,
% 0.12/0.43 (![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(X, T2) & size(X, S1, T1) & size(X, S2, T2) & (T1 = T2))) | (S1 = S2)) <=> ![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((S1 = S2) | (~organization(X, T2)) | (~organization(X, T2)) | (~size(X, S1, T2)) | (~size(X, S2, T2)))),
% 0.12/0.43 inference(destructive_equality_resolution,[status(thm)],[])).
% 0.12/0.43 tff(119,plain,
% 0.12/0.43 (![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(X, T2) & size(X, S1, T1) & size(X, S2, T2) & (T1 = T2))) | (S1 = S2)) <=> ![X: $i, S1: $i, S2: $i, T2: $i] : ((S1 = S2) | (~organization(X, T2)) | (~organization(X, T2)) | (~size(X, S1, T2)) | (~size(X, S2, T2)))),
% 0.12/0.43 inference(transitivity,[status(thm)],[118, 117])).
% 0.12/0.43 tff(120,plain,
% 0.12/0.43 (![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(X, T2) & size(X, S1, T1) & size(X, S2, T2) & (T1 = T2))) | (S1 = S2)) <=> ![X: $i, S1: $i, S2: $i, T2: $i] : ((S1 = S2) | (~organization(X, T2)) | (~size(X, S1, T2)) | (~size(X, S2, T2)))),
% 0.12/0.43 inference(transitivity,[status(thm)],[119, 116])).
% 0.12/0.43 tff(121,plain,
% 0.12/0.43 (^[X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((organization(X, T1) & organization(X, T2)) & size(X, S1, T1)) <=> (organization(X, T1) & organization(X, T2) & size(X, S1, T1))), ((((organization(X, T1) & organization(X, T2)) & size(X, S1, T1)) & size(X, S2, T2)) <=> ((organization(X, T1) & organization(X, T2) & size(X, S1, T1)) & size(X, S2, T2)))), rewrite(((organization(X, T1) & organization(X, T2) & size(X, S1, T1)) & size(X, S2, T2)) <=> (organization(X, T1) & organization(X, T2) & size(X, S1, T1) & size(X, S2, T2))), ((((organization(X, T1) & organization(X, T2)) & size(X, S1, T1)) & size(X, S2, T2)) <=> (organization(X, T1) & organization(X, T2) & size(X, S1, T1) & size(X, S2, T2)))), (((((organization(X, T1) & organization(X, T2)) & size(X, S1, T1)) & size(X, S2, T2)) & (T1 = T2)) <=> ((organization(X, T1) & organization(X, T2) & size(X, S1, T1) & size(X, S2, T2)) & (T1 = T2)))), rewrite(((organization(X, T1) & organization(X, T2) & size(X, S1, T1) & size(X, S2, T2)) & (T1 = T2)) <=> (organization(X, T1) & organization(X, T2) & size(X, S1, T1) & size(X, S2, T2) & (T1 = T2))), (((((organization(X, T1) & organization(X, T2)) & size(X, S1, T1)) & size(X, S2, T2)) & (T1 = T2)) <=> (organization(X, T1) & organization(X, T2) & size(X, S1, T1) & size(X, S2, T2) & (T1 = T2)))), ((((((organization(X, T1) & organization(X, T2)) & size(X, S1, T1)) & size(X, S2, T2)) & (T1 = T2)) => (S1 = S2)) <=> ((organization(X, T1) & organization(X, T2) & size(X, S1, T1) & size(X, S2, T2) & (T1 = T2)) => (S1 = S2)))), rewrite(((organization(X, T1) & organization(X, T2) & size(X, S1, T1) & size(X, S2, T2) & (T1 = T2)) => (S1 = S2)) <=> ((~(organization(X, T1) & organization(X, T2) & size(X, S1, T1) & size(X, S2, T2) & (T1 = T2))) | (S1 = S2))), ((((((organization(X, T1) & organization(X, T2)) & size(X, S1, T1)) & size(X, S2, T2)) & (T1 = T2)) => (S1 = S2)) <=> ((~(organization(X, T1) & organization(X, T2) & size(X, S1, T1) & size(X, S2, T2) & (T1 = T2))) | (S1 = S2))))),
% 0.12/0.43 inference(bind,[status(th)],[])).
% 0.12/0.43 tff(122,plain,
% 0.12/0.43 (![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : (((((organization(X, T1) & organization(X, T2)) & size(X, S1, T1)) & size(X, S2, T2)) & (T1 = T2)) => (S1 = S2)) <=> ![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(X, T2) & size(X, S1, T1) & size(X, S2, T2) & (T1 = T2))) | (S1 = S2))),
% 0.12/0.43 inference(quant_intro,[status(thm)],[121])).
% 0.12/0.43 tff(123,plain,
% 0.12/0.43 (![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : (((((organization(X, T1) & organization(X, T2)) & size(X, S1, T1)) & size(X, S2, T2)) & (T1 = T2)) => (S1 = S2)) <=> ![X: $i, S1: $i, S2: $i, T2: $i] : ((S1 = S2) | (~organization(X, T2)) | (~size(X, S1, T2)) | (~size(X, S2, T2)))),
% 0.12/0.43 inference(transitivity,[status(thm)],[122, 120])).
% 0.12/0.43 tff(124,axiom,(![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : (((((organization(X, T1) & organization(X, T2)) & size(X, S1, T1)) & size(X, S2, T2)) & (T1 = T2)) => (S1 = S2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp19')).
% 0.12/0.43 tff(125,plain,
% 0.12/0.43 (![X: $i, S1: $i, S2: $i, T2: $i] : ((S1 = S2) | (~organization(X, T2)) | (~size(X, S1, T2)) | (~size(X, S2, T2)))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[124, 123])).
% 0.12/0.43 tff(126,plain,
% 0.12/0.43 (![X: $i, S1: $i, S2: $i, T2: $i] : ((S1 = S2) | (~organization(X, T2)) | (~size(X, S1, T2)) | (~size(X, S2, T2)))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[125, 114])).
% 0.12/0.43 tff(127,plain,(
% 0.12/0.43 ![X: $i, S1: $i, S2: $i, T2: $i] : ((S1 = S2) | (~organization(X, T2)) | (~size(X, S1, T2)) | (~size(X, S2, T2)))),
% 0.12/0.43 inference(skolemize,[status(sab)],[126])).
% 0.12/0.43 tff(128,plain,
% 0.12/0.43 (![X: $i, S1: $i, S2: $i, T2: $i] : ((S1 = S2) | (~organization(X, T2)) | (~size(X, S1, T2)) | (~size(X, S2, T2)))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[127, 113])).
% 0.12/0.43 tff(129,plain,
% 0.12/0.43 (((~![X: $i, S1: $i, S2: $i, T2: $i] : ((S1 = S2) | (~organization(X, T2)) | (~size(X, S1, T2)) | (~size(X, S2, T2)))) | ((~organization(X!6, T2!0)) | (~size(X!6, S2!2, T2!0)) | (S1!3 = S2!2) | (~size(X!6, S1!3, T2!0)))) <=> ((~![X: $i, S1: $i, S2: $i, T2: $i] : ((S1 = S2) | (~organization(X, T2)) | (~size(X, S1, T2)) | (~size(X, S2, T2)))) | (~organization(X!6, T2!0)) | (~size(X!6, S2!2, T2!0)) | (S1!3 = S2!2) | (~size(X!6, S1!3, T2!0)))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(130,plain,
% 0.12/0.43 (((S1!3 = S2!2) | (~organization(X!6, T2!0)) | (~size(X!6, S1!3, T2!0)) | (~size(X!6, S2!2, T2!0))) <=> ((~organization(X!6, T2!0)) | (~size(X!6, S2!2, T2!0)) | (S1!3 = S2!2) | (~size(X!6, S1!3, T2!0)))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(131,plain,
% 0.12/0.43 (((~![X: $i, S1: $i, S2: $i, T2: $i] : ((S1 = S2) | (~organization(X, T2)) | (~size(X, S1, T2)) | (~size(X, S2, T2)))) | ((S1!3 = S2!2) | (~organization(X!6, T2!0)) | (~size(X!6, S1!3, T2!0)) | (~size(X!6, S2!2, T2!0)))) <=> ((~![X: $i, S1: $i, S2: $i, T2: $i] : ((S1 = S2) | (~organization(X, T2)) | (~size(X, S1, T2)) | (~size(X, S2, T2)))) | ((~organization(X!6, T2!0)) | (~size(X!6, S2!2, T2!0)) | (S1!3 = S2!2) | (~size(X!6, S1!3, T2!0))))),
% 0.12/0.43 inference(monotonicity,[status(thm)],[130])).
% 0.12/0.43 tff(132,plain,
% 0.12/0.43 (((~![X: $i, S1: $i, S2: $i, T2: $i] : ((S1 = S2) | (~organization(X, T2)) | (~size(X, S1, T2)) | (~size(X, S2, T2)))) | ((S1!3 = S2!2) | (~organization(X!6, T2!0)) | (~size(X!6, S1!3, T2!0)) | (~size(X!6, S2!2, T2!0)))) <=> ((~![X: $i, S1: $i, S2: $i, T2: $i] : ((S1 = S2) | (~organization(X, T2)) | (~size(X, S1, T2)) | (~size(X, S2, T2)))) | (~organization(X!6, T2!0)) | (~size(X!6, S2!2, T2!0)) | (S1!3 = S2!2) | (~size(X!6, S1!3, T2!0)))),
% 0.12/0.43 inference(transitivity,[status(thm)],[131, 129])).
% 0.12/0.43 tff(133,plain,
% 0.12/0.43 ((~![X: $i, S1: $i, S2: $i, T2: $i] : ((S1 = S2) | (~organization(X, T2)) | (~size(X, S1, T2)) | (~size(X, S2, T2)))) | ((S1!3 = S2!2) | (~organization(X!6, T2!0)) | (~size(X!6, S1!3, T2!0)) | (~size(X!6, S2!2, T2!0)))),
% 0.12/0.43 inference(quant_inst,[status(thm)],[])).
% 0.12/0.43 tff(134,plain,
% 0.12/0.43 ((~![X: $i, S1: $i, S2: $i, T2: $i] : ((S1 = S2) | (~organization(X, T2)) | (~size(X, S1, T2)) | (~size(X, S2, T2)))) | (~organization(X!6, T2!0)) | (~size(X!6, S2!2, T2!0)) | (S1!3 = S2!2) | (~size(X!6, S1!3, T2!0))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[133, 132])).
% 0.12/0.43 tff(135,plain,
% 0.12/0.43 ((S1!3 = S2!2) | (~size(X!6, S1!3, T2!0))),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[134, 128, 28, 26])).
% 0.12/0.43 tff(136,plain,
% 0.12/0.43 (S1!3 = S2!2),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[135, 111])).
% 0.12/0.43 tff(137,plain,
% 0.12/0.43 (greater(S1!3, S2!2) <=> greater(S2!2, S2!2)),
% 0.12/0.43 inference(monotonicity,[status(thm)],[136])).
% 0.12/0.43 tff(138,plain,
% 0.12/0.43 (greater(S2!2, S2!2) <=> greater(S1!3, S2!2)),
% 0.12/0.43 inference(symmetry,[status(thm)],[137])).
% 0.12/0.43 tff(139,plain,
% 0.12/0.43 (greater(S2!2, S1!3) <=> greater(S2!2, S2!2)),
% 0.12/0.43 inference(monotonicity,[status(thm)],[136])).
% 0.12/0.43 tff(140,plain,
% 0.12/0.43 (greater(S2!2, S2!2)),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[25, 139])).
% 0.12/0.43 tff(141,plain,
% 0.12/0.43 (greater(S1!3, S2!2)),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[140, 138])).
% 0.12/0.43 tff(142,plain,
% 0.12/0.43 (^[X: $i, Y: $i] : refl(((~greater(X, Y)) | (~greater(Y, X))) <=> ((~greater(X, Y)) | (~greater(Y, X))))),
% 0.12/0.43 inference(bind,[status(th)],[])).
% 0.12/0.43 tff(143,plain,
% 0.12/0.43 (![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X))) <=> ![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))),
% 0.12/0.43 inference(quant_intro,[status(thm)],[142])).
% 0.12/0.43 tff(144,plain,
% 0.12/0.43 (^[X: $i, Y: $i] : trans(monotonicity(rewrite((greater(X, Y) & greater(Y, X)) <=> (~((~greater(X, Y)) | (~greater(Y, X))))), ((~(greater(X, Y) & greater(Y, X))) <=> (~(~((~greater(X, Y)) | (~greater(Y, X))))))), rewrite((~(~((~greater(X, Y)) | (~greater(Y, X))))) <=> ((~greater(X, Y)) | (~greater(Y, X)))), ((~(greater(X, Y) & greater(Y, X))) <=> ((~greater(X, Y)) | (~greater(Y, X)))))),
% 0.12/0.43 inference(bind,[status(th)],[])).
% 0.12/0.43 tff(145,plain,
% 0.12/0.43 (![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X))) <=> ![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))),
% 0.12/0.43 inference(quant_intro,[status(thm)],[144])).
% 0.12/0.43 tff(146,plain,
% 0.12/0.43 (![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X))) <=> ![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X)))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(147,axiom,(![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp6_2')).
% 0.12/0.43 tff(148,plain,
% 0.12/0.43 (![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X)))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[147, 146])).
% 0.12/0.43 tff(149,plain,(
% 0.12/0.43 ![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X)))),
% 0.12/0.43 inference(skolemize,[status(sab)],[148])).
% 0.12/0.43 tff(150,plain,
% 0.12/0.43 (![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[149, 145])).
% 0.12/0.43 tff(151,plain,
% 0.12/0.43 (![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[150, 143])).
% 0.12/0.43 tff(152,plain,
% 0.12/0.43 (((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(S1!3, S2!2)) | (~greater(S2!2, S1!3)))) <=> ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(S1!3, S2!2)) | (~greater(S2!2, S1!3)))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(153,plain,
% 0.12/0.43 ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(S1!3, S2!2)) | (~greater(S2!2, S1!3)))),
% 0.12/0.43 inference(quant_inst,[status(thm)],[])).
% 0.12/0.43 tff(154,plain,
% 0.12/0.43 ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(S1!3, S2!2)) | (~greater(S2!2, S1!3))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[153, 152])).
% 0.12/0.44 tff(155,plain,
% 0.12/0.44 (~greater(S1!3, S2!2)),
% 0.12/0.44 inference(unit_resolution,[status(thm)],[154, 151, 25])).
% 0.12/0.44 tff(156,plain,
% 0.12/0.44 ($false),
% 0.12/0.44 inference(unit_resolution,[status(thm)],[155, 141])).
% 0.12/0.44 % SZS output end Proof
% 0.12/0.44 % E exiting
%------------------------------------------------------------------------------