%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT012+1 : TPTP v9.3.0. Released v2.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n015.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 06:23:56 AM UTC 2026
% Result : Theorem 0.15s 0.42s
% Output : Proof 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT012+1 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.03 % Command : run_E %s %d THM
% 0.08/0.36 % Computer : n015.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 7 11:53:34 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.15/0.42 % SZS status Theorem
% 0.15/0.42 % SZS output start Proof
% 0.15/0.42 tff(class_type, type, (
% 0.15/0.42 class: ( $i * $i * $i ) > $o)).
% 0.15/0.42 tff(tptp_fun_T1_3_type, type, (
% 0.15/0.42 tptp_fun_T1_3: $i)).
% 0.15/0.42 tff(tptp_fun_C_1_type, type, (
% 0.15/0.42 tptp_fun_C_1: ( $i * $i ) > $i)).
% 0.15/0.42 tff(tptp_fun_X_6_type, type, (
% 0.15/0.42 tptp_fun_X_6: $i)).
% 0.15/0.42 tff(tptp_fun_T2_2_type, type, (
% 0.15/0.42 tptp_fun_T2_2: $i)).
% 0.15/0.42 tff(organization_type, type, (
% 0.15/0.42 organization: ( $i * $i ) > $o)).
% 0.15/0.42 tff(greater_type, type, (
% 0.15/0.42 greater: ( $i * $i ) > $o)).
% 0.15/0.42 tff(complexity_type, type, (
% 0.15/0.42 complexity: ( $i * $i * $i ) > $o)).
% 0.15/0.42 tff(tptp_fun_C2_4_type, type, (
% 0.15/0.42 tptp_fun_C2_4: $i)).
% 0.15/0.42 tff(tptp_fun_C1_5_type, type, (
% 0.15/0.42 tptp_fun_C1_5: $i)).
% 0.15/0.42 tff(reorganization_free_type, type, (
% 0.15/0.42 reorganization_free: ( $i * $i * $i ) > $o)).
% 0.15/0.42 tff(tptp_fun_I_0_type, type, (
% 0.15/0.42 tptp_fun_I_0: ( $i * $i ) > $i)).
% 0.15/0.42 tff(inertia_type, type, (
% 0.15/0.42 inertia: ( $i * $i * $i ) > $o)).
% 0.15/0.42 tff(1,plain,
% 0.15/0.42 ((~![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)))))),
% 0.15/0.42 inference(rewrite,[status(thm)],[])).
% 0.15/0.42 tff(2,plain,
% 0.15/0.42 ((~![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)))))),
% 0.15/0.42 inference(rewrite,[status(thm)],[])).
% 0.15/0.42 tff(3,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/sandbox2/benchmark/theBenchmark.p','t12_FOL')).
% 0.15/0.42 tff(4,plain,
% 0.15/0.42 (~![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))))),
% 0.15/0.42 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.15/0.42 tff(5,plain,
% 0.15/0.42 (~![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))))),
% 0.15/0.42 inference(modus_ponens,[status(thm)],[4, 1])).
% 0.15/0.42 tff(6,plain,
% 0.15/0.42 (~![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))))),
% 0.15/0.42 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.15/0.42 tff(7,plain,
% 0.15/0.42 (~![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))))),
% 0.15/0.42 inference(modus_ponens,[status(thm)],[6, 1])).
% 0.15/0.42 tff(8,plain,(
% 0.15/0.42 ~((~greater(C1!5, C2!4)) | (~(organization(X!6, T1!3) & organization(X!6, T2!2) & reorganization_free(X!6, T1!3, T2!2) & complexity(X!6, C1!5, T1!3) & complexity(X!6, C2!4, T2!2) & greater(T2!2, T1!3))))),
% 0.15/0.42 inference(skolemize,[status(sab)],[7])).
% 0.15/0.42 tff(9,plain,
% 0.15/0.42 (organization(X!6, T1!3) & organization(X!6, T2!2) & reorganization_free(X!6, T1!3, T2!2) & complexity(X!6, C1!5, T1!3) & complexity(X!6, C2!4, T2!2) & greater(T2!2, T1!3)),
% 0.15/0.42 inference(or_elim,[status(thm)],[8])).
% 0.15/0.42 tff(10,plain,
% 0.15/0.42 (organization(X!6, T2!2)),
% 0.15/0.42 inference(and_elim,[status(thm)],[9])).
% 0.15/0.42 tff(11,plain,
% 0.15/0.42 (^[X: $i, T: $i] : refl(((~organization(X, T)) | class(X, tptp_fun_C_1(T, X), T)) <=> ((~organization(X, T)) | class(X, tptp_fun_C_1(T, X), T)))),
% 0.15/0.42 inference(bind,[status(th)],[])).
% 0.15/0.42 tff(12,plain,
% 0.15/0.42 (![X: $i, T: $i] : ((~organization(X, T)) | class(X, tptp_fun_C_1(T, X), T)) <=> ![X: $i, T: $i] : ((~organization(X, T)) | class(X, tptp_fun_C_1(T, X), T))),
% 0.15/0.42 inference(quant_intro,[status(thm)],[11])).
% 0.15/0.42 tff(13,plain,
% 0.15/0.42 (![X: $i, T: $i] : ((~organization(X, T)) | ?[C: $i] : class(X, C, T)) <=> ![X: $i, T: $i] : ((~organization(X, T)) | ?[C: $i] : class(X, C, T))),
% 0.15/0.42 inference(rewrite,[status(thm)],[])).
% 0.15/0.42 tff(14,plain,
% 0.15/0.42 (^[X: $i, T: $i] : rewrite((organization(X, T) => ?[C: $i] : class(X, C, T)) <=> ((~organization(X, T)) | ?[C: $i] : class(X, C, T)))),
% 0.15/0.42 inference(bind,[status(th)],[])).
% 0.15/0.42 tff(15,plain,
% 0.15/0.42 (![X: $i, T: $i] : (organization(X, T) => ?[C: $i] : class(X, C, T)) <=> ![X: $i, T: $i] : ((~organization(X, T)) | ?[C: $i] : class(X, C, T))),
% 0.15/0.42 inference(quant_intro,[status(thm)],[14])).
% 0.15/0.42 tff(16,axiom,(![X: $i, T: $i] : (organization(X, T) => ?[C: $i] : class(X, C, T))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp9')).
% 0.15/0.42 tff(17,plain,
% 0.15/0.42 (![X: $i, T: $i] : ((~organization(X, T)) | ?[C: $i] : class(X, C, T))),
% 0.15/0.42 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.15/0.42 tff(18,plain,
% 0.15/0.42 (![X: $i, T: $i] : ((~organization(X, T)) | ?[C: $i] : class(X, C, T))),
% 0.15/0.42 inference(modus_ponens,[status(thm)],[17, 13])).
% 0.15/0.42 tff(19,plain,(
% 0.15/0.42 ![X: $i, T: $i] : ((~organization(X, T)) | class(X, tptp_fun_C_1(T, X), T))),
% 0.15/0.42 inference(skolemize,[status(sab)],[18])).
% 0.15/0.42 tff(20,plain,
% 0.15/0.42 (![X: $i, T: $i] : ((~organization(X, T)) | class(X, tptp_fun_C_1(T, X), T))),
% 0.15/0.42 inference(modus_ponens,[status(thm)],[19, 12])).
% 0.15/0.42 tff(21,plain,
% 0.15/0.42 (((~![X: $i, T: $i] : ((~organization(X, T)) | class(X, tptp_fun_C_1(T, X), T))) | ((~organization(X!6, T2!2)) | class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2))) <=> ((~![X: $i, T: $i] : ((~organization(X, T)) | class(X, tptp_fun_C_1(T, X), T))) | (~organization(X!6, T2!2)) | class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2))),
% 0.15/0.42 inference(rewrite,[status(thm)],[])).
% 0.15/0.42 tff(22,plain,
% 0.15/0.42 ((~![X: $i, T: $i] : ((~organization(X, T)) | class(X, tptp_fun_C_1(T, X), T))) | ((~organization(X!6, T2!2)) | class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2))),
% 0.15/0.42 inference(quant_inst,[status(thm)],[])).
% 0.15/0.42 tff(23,plain,
% 0.15/0.42 ((~![X: $i, T: $i] : ((~organization(X, T)) | class(X, tptp_fun_C_1(T, X), T))) | (~organization(X!6, T2!2)) | class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2)),
% 0.15/0.42 inference(modus_ponens,[status(thm)],[22, 21])).
% 0.15/0.42 tff(24,plain,
% 0.15/0.42 (class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2)),
% 0.15/0.42 inference(unit_resolution,[status(thm)],[23, 20, 10])).
% 0.15/0.42 tff(25,plain,
% 0.15/0.42 (organization(X!6, T1!3)),
% 0.15/0.42 inference(and_elim,[status(thm)],[9])).
% 0.15/0.42 tff(26,plain,
% 0.15/0.42 (((~![X: $i, T: $i] : ((~organization(X, T)) | class(X, tptp_fun_C_1(T, X), T))) | ((~organization(X!6, T1!3)) | class(X!6, tptp_fun_C_1(T1!3, X!6), T1!3))) <=> ((~![X: $i, T: $i] : ((~organization(X, T)) | class(X, tptp_fun_C_1(T, X), T))) | (~organization(X!6, T1!3)) | class(X!6, tptp_fun_C_1(T1!3, X!6), T1!3))),
% 0.15/0.42 inference(rewrite,[status(thm)],[])).
% 0.15/0.42 tff(27,plain,
% 0.15/0.42 ((~![X: $i, T: $i] : ((~organization(X, T)) | class(X, tptp_fun_C_1(T, X), T))) | ((~organization(X!6, T1!3)) | class(X!6, tptp_fun_C_1(T1!3, X!6), T1!3))),
% 0.15/0.42 inference(quant_inst,[status(thm)],[])).
% 0.15/0.42 tff(28,plain,
% 0.15/0.42 ((~![X: $i, T: $i] : ((~organization(X, T)) | class(X, tptp_fun_C_1(T, X), T))) | (~organization(X!6, T1!3)) | class(X!6, tptp_fun_C_1(T1!3, X!6), T1!3)),
% 0.15/0.42 inference(modus_ponens,[status(thm)],[27, 26])).
% 0.15/0.42 tff(29,plain,
% 0.15/0.42 (class(X!6, tptp_fun_C_1(T1!3, X!6), T1!3)),
% 0.15/0.42 inference(unit_resolution,[status(thm)],[28, 20, 25])).
% 0.15/0.42 tff(30,plain,
% 0.15/0.42 (reorganization_free(X!6, T1!3, T2!2)),
% 0.15/0.42 inference(and_elim,[status(thm)],[9])).
% 0.15/0.42 tff(31,plain,
% 0.15/0.42 (^[X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : refl(((C1 = C2) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~class(X, C1, T1)) | (~class(X, C2, T2))) <=> ((C1 = C2) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~class(X, C1, T1)) | (~class(X, C2, T2))))),
% 0.15/0.42 inference(bind,[status(th)],[])).
% 0.15/0.42 tff(32,plain,
% 0.15/0.42 (![X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : ((C1 = C2) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~class(X, C1, T1)) | (~class(X, C2, T2))) <=> ![X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : ((C1 = C2) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~class(X, C1, T1)) | (~class(X, C2, T2)))),
% 0.15/0.42 inference(quant_intro,[status(thm)],[31])).
% 0.15/0.42 tff(33,plain,
% 0.15/0.42 (^[X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & class(X, C1, T1) & class(X, C2, T2)) <=> (~((~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~class(X, C1, T1)) | (~class(X, C2, T2))))), ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & class(X, C1, T1) & class(X, C2, T2))) <=> (~(~((~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~class(X, C1, T1)) | (~class(X, C2, T2))))))), rewrite((~(~((~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~class(X, C1, T1)) | (~class(X, C2, T2))))) <=> ((~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~class(X, C1, T1)) | (~class(X, C2, T2)))), ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & class(X, C1, T1) & class(X, C2, T2))) <=> ((~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~class(X, C1, T1)) | (~class(X, C2, T2))))), (((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & class(X, C1, T1) & class(X, C2, T2))) | (C1 = C2)) <=> (((~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~class(X, C1, T1)) | (~class(X, C2, T2))) | (C1 = C2)))), rewrite((((~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~class(X, C1, T1)) | (~class(X, C2, T2))) | (C1 = C2)) <=> ((C1 = C2) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~class(X, C1, T1)) | (~class(X, C2, T2)))), (((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & class(X, C1, T1) & class(X, C2, T2))) | (C1 = C2)) <=> ((C1 = C2) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~class(X, C1, T1)) | (~class(X, C2, T2)))))),
% 0.15/0.42 inference(bind,[status(th)],[])).
% 0.15/0.42 tff(34,plain,
% 0.15/0.42 (![X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & class(X, C1, T1) & class(X, C2, T2))) | (C1 = C2)) <=> ![X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : ((C1 = C2) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~class(X, C1, T1)) | (~class(X, C2, T2)))),
% 0.15/0.42 inference(quant_intro,[status(thm)],[33])).
% 0.15/0.42 tff(35,plain,
% 0.15/0.42 (![X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & class(X, C1, T1) & class(X, C2, T2))) | (C1 = C2)) <=> ![X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & class(X, C1, T1) & class(X, C2, T2))) | (C1 = C2))),
% 0.15/0.42 inference(rewrite,[status(thm)],[])).
% 0.15/0.42 tff(36,plain,
% 0.15/0.42 (^[X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : 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)) & class(X, C1, T1)) <=> ((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2)) & class(X, C1, T1)))), rewrite(((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2)) & class(X, C1, T1)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & class(X, C1, T1))), ((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & class(X, C1, T1)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & class(X, C1, T1)))), (((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & class(X, C1, T1)) & class(X, C2, T2)) <=> ((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & class(X, C1, T1)) & class(X, C2, T2)))), rewrite(((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & class(X, C1, T1)) & class(X, C2, T2)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & class(X, C1, T1) & class(X, C2, T2))), (((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & class(X, C1, T1)) & class(X, C2, T2)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & class(X, C1, T1) & class(X, C2, T2)))), ((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & class(X, C1, T1)) & class(X, C2, T2)) => (C1 = C2)) <=> ((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & class(X, C1, T1) & class(X, C2, T2)) => (C1 = C2)))), rewrite(((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & class(X, C1, T1) & class(X, C2, T2)) => (C1 = C2)) <=> ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & class(X, C1, T1) & class(X, C2, T2))) | (C1 = C2))), ((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & class(X, C1, T1)) & class(X, C2, T2)) => (C1 = C2)) <=> ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & class(X, C1, T1) & class(X, C2, T2))) | (C1 = C2))))),
% 0.15/0.42 inference(bind,[status(th)],[])).
% 0.15/0.42 tff(37,plain,
% 0.15/0.42 (![X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : (((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & class(X, C1, T1)) & class(X, C2, T2)) => (C1 = C2)) <=> ![X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & class(X, C1, T1) & class(X, C2, T2))) | (C1 = C2))),
% 0.15/0.42 inference(quant_intro,[status(thm)],[36])).
% 0.15/0.42 tff(38,axiom,(![X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : (((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & class(X, C1, T1)) & class(X, C2, T2)) => (C1 = C2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp10')).
% 0.15/0.42 tff(39,plain,
% 0.15/0.42 (![X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & class(X, C1, T1) & class(X, C2, T2))) | (C1 = C2))),
% 0.15/0.42 inference(modus_ponens,[status(thm)],[38, 37])).
% 0.15/0.42 tff(40,plain,
% 0.15/0.42 (![X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & class(X, C1, T1) & class(X, C2, T2))) | (C1 = C2))),
% 0.15/0.42 inference(modus_ponens,[status(thm)],[39, 35])).
% 0.15/0.42 tff(41,plain,(
% 0.15/0.42 ![X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & class(X, C1, T1) & class(X, C2, T2))) | (C1 = C2))),
% 0.15/0.42 inference(skolemize,[status(sab)],[40])).
% 0.15/0.42 tff(42,plain,
% 0.15/0.42 (![X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : ((C1 = C2) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~class(X, C1, T1)) | (~class(X, C2, T2)))),
% 0.15/0.42 inference(modus_ponens,[status(thm)],[41, 34])).
% 0.15/0.42 tff(43,plain,
% 0.15/0.42 (![X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : ((C1 = C2) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~class(X, C1, T1)) | (~class(X, C2, T2)))),
% 0.15/0.42 inference(modus_ponens,[status(thm)],[42, 32])).
% 0.15/0.42 tff(44,plain,
% 0.15/0.42 (((~![X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : ((C1 = C2) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~class(X, C1, T1)) | (~class(X, C2, T2)))) | ((~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~reorganization_free(X!6, T1!3, T2!2)) | (~class(X!6, tptp_fun_C_1(T1!3, X!6), T1!3)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2)) | (tptp_fun_C_1(T1!3, X!6) = tptp_fun_C_1(T2!2, X!6)))) <=> ((~![X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : ((C1 = C2) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~class(X, C1, T1)) | (~class(X, C2, T2)))) | (~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~reorganization_free(X!6, T1!3, T2!2)) | (~class(X!6, tptp_fun_C_1(T1!3, X!6), T1!3)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2)) | (tptp_fun_C_1(T1!3, X!6) = tptp_fun_C_1(T2!2, X!6)))),
% 0.15/0.43 inference(rewrite,[status(thm)],[])).
% 0.15/0.43 tff(45,plain,
% 0.15/0.43 (((tptp_fun_C_1(T1!3, X!6) = tptp_fun_C_1(T2!2, X!6)) | (~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~reorganization_free(X!6, T1!3, T2!2)) | (~class(X!6, tptp_fun_C_1(T1!3, X!6), T1!3)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2))) <=> ((~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~reorganization_free(X!6, T1!3, T2!2)) | (~class(X!6, tptp_fun_C_1(T1!3, X!6), T1!3)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2)) | (tptp_fun_C_1(T1!3, X!6) = tptp_fun_C_1(T2!2, X!6)))),
% 0.15/0.43 inference(rewrite,[status(thm)],[])).
% 0.15/0.43 tff(46,plain,
% 0.15/0.43 (((~![X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : ((C1 = C2) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~class(X, C1, T1)) | (~class(X, C2, T2)))) | ((tptp_fun_C_1(T1!3, X!6) = tptp_fun_C_1(T2!2, X!6)) | (~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~reorganization_free(X!6, T1!3, T2!2)) | (~class(X!6, tptp_fun_C_1(T1!3, X!6), T1!3)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2)))) <=> ((~![X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : ((C1 = C2) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~class(X, C1, T1)) | (~class(X, C2, T2)))) | ((~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~reorganization_free(X!6, T1!3, T2!2)) | (~class(X!6, tptp_fun_C_1(T1!3, X!6), T1!3)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2)) | (tptp_fun_C_1(T1!3, X!6) = tptp_fun_C_1(T2!2, X!6))))),
% 0.15/0.43 inference(monotonicity,[status(thm)],[45])).
% 0.15/0.43 tff(47,plain,
% 0.15/0.43 (((~![X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : ((C1 = C2) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~class(X, C1, T1)) | (~class(X, C2, T2)))) | ((tptp_fun_C_1(T1!3, X!6) = tptp_fun_C_1(T2!2, X!6)) | (~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~reorganization_free(X!6, T1!3, T2!2)) | (~class(X!6, tptp_fun_C_1(T1!3, X!6), T1!3)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2)))) <=> ((~![X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : ((C1 = C2) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~class(X, C1, T1)) | (~class(X, C2, T2)))) | (~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~reorganization_free(X!6, T1!3, T2!2)) | (~class(X!6, tptp_fun_C_1(T1!3, X!6), T1!3)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2)) | (tptp_fun_C_1(T1!3, X!6) = tptp_fun_C_1(T2!2, X!6)))),
% 0.15/0.43 inference(transitivity,[status(thm)],[46, 44])).
% 0.15/0.43 tff(48,plain,
% 0.15/0.43 ((~![X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : ((C1 = C2) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~class(X, C1, T1)) | (~class(X, C2, T2)))) | ((tptp_fun_C_1(T1!3, X!6) = tptp_fun_C_1(T2!2, X!6)) | (~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~reorganization_free(X!6, T1!3, T2!2)) | (~class(X!6, tptp_fun_C_1(T1!3, X!6), T1!3)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2)))),
% 0.15/0.43 inference(quant_inst,[status(thm)],[])).
% 0.15/0.43 tff(49,plain,
% 0.15/0.43 ((~![X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : ((C1 = C2) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~class(X, C1, T1)) | (~class(X, C2, T2)))) | (~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~reorganization_free(X!6, T1!3, T2!2)) | (~class(X!6, tptp_fun_C_1(T1!3, X!6), T1!3)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2)) | (tptp_fun_C_1(T1!3, X!6) = tptp_fun_C_1(T2!2, X!6))),
% 0.15/0.43 inference(modus_ponens,[status(thm)],[48, 47])).
% 0.15/0.43 tff(50,plain,
% 0.15/0.43 (tptp_fun_C_1(T1!3, X!6) = tptp_fun_C_1(T2!2, X!6)),
% 0.15/0.43 inference(unit_resolution,[status(thm)],[49, 43, 25, 10, 30, 29, 24])).
% 0.15/0.43 tff(51,plain,
% 0.15/0.43 (tptp_fun_C_1(T2!2, X!6) = tptp_fun_C_1(T1!3, X!6)),
% 0.15/0.43 inference(symmetry,[status(thm)],[50])).
% 0.15/0.43 tff(52,plain,
% 0.15/0.43 (class(X!6, tptp_fun_C_1(T2!2, X!6), T1!3) <=> class(X!6, tptp_fun_C_1(T1!3, X!6), T1!3)),
% 0.15/0.43 inference(monotonicity,[status(thm)],[51])).
% 0.15/0.43 tff(53,plain,
% 0.15/0.43 (class(X!6, tptp_fun_C_1(T1!3, X!6), T1!3) <=> class(X!6, tptp_fun_C_1(T2!2, X!6), T1!3)),
% 0.15/0.43 inference(symmetry,[status(thm)],[52])).
% 0.15/0.43 tff(54,plain,
% 0.15/0.43 (class(X!6, tptp_fun_C_1(T2!2, X!6), T1!3)),
% 0.15/0.43 inference(modus_ponens,[status(thm)],[29, 53])).
% 0.15/0.43 tff(55,plain,
% 0.15/0.43 (^[X: $i, T: $i] : refl(((~organization(X, T)) | inertia(X, tptp_fun_I_0(T, X), T)) <=> ((~organization(X, T)) | inertia(X, tptp_fun_I_0(T, X), T)))),
% 0.15/0.43 inference(bind,[status(th)],[])).
% 0.15/0.43 tff(56,plain,
% 0.15/0.43 (![X: $i, T: $i] : ((~organization(X, T)) | inertia(X, tptp_fun_I_0(T, X), T)) <=> ![X: $i, T: $i] : ((~organization(X, T)) | inertia(X, tptp_fun_I_0(T, X), T))),
% 0.15/0.43 inference(quant_intro,[status(thm)],[55])).
% 0.15/0.43 tff(57,plain,
% 0.15/0.43 (![X: $i, T: $i] : ((~organization(X, T)) | ?[I: $i] : inertia(X, I, T)) <=> ![X: $i, T: $i] : ((~organization(X, T)) | ?[I: $i] : inertia(X, I, T))),
% 0.15/0.43 inference(rewrite,[status(thm)],[])).
% 0.15/0.43 tff(58,plain,
% 0.15/0.43 (^[X: $i, T: $i] : rewrite((organization(X, T) => ?[I: $i] : inertia(X, I, T)) <=> ((~organization(X, T)) | ?[I: $i] : inertia(X, I, T)))),
% 0.15/0.43 inference(bind,[status(th)],[])).
% 0.15/0.43 tff(59,plain,
% 0.15/0.43 (![X: $i, T: $i] : (organization(X, T) => ?[I: $i] : inertia(X, I, T)) <=> ![X: $i, T: $i] : ((~organization(X, T)) | ?[I: $i] : inertia(X, I, T))),
% 0.15/0.43 inference(quant_intro,[status(thm)],[58])).
% 0.15/0.43 tff(60,axiom,(![X: $i, T: $i] : (organization(X, T) => ?[I: $i] : inertia(X, I, T))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp5')).
% 0.15/0.43 tff(61,plain,
% 0.15/0.43 (![X: $i, T: $i] : ((~organization(X, T)) | ?[I: $i] : inertia(X, I, T))),
% 0.15/0.43 inference(modus_ponens,[status(thm)],[60, 59])).
% 0.15/0.43 tff(62,plain,
% 0.15/0.43 (![X: $i, T: $i] : ((~organization(X, T)) | ?[I: $i] : inertia(X, I, T))),
% 0.15/0.43 inference(modus_ponens,[status(thm)],[61, 57])).
% 0.15/0.43 tff(63,plain,(
% 0.15/0.43 ![X: $i, T: $i] : ((~organization(X, T)) | inertia(X, tptp_fun_I_0(T, X), T))),
% 0.15/0.43 inference(skolemize,[status(sab)],[62])).
% 0.15/0.43 tff(64,plain,
% 0.15/0.43 (![X: $i, T: $i] : ((~organization(X, T)) | inertia(X, tptp_fun_I_0(T, X), T))),
% 0.15/0.43 inference(modus_ponens,[status(thm)],[63, 56])).
% 0.15/0.43 tff(65,plain,
% 0.15/0.43 (((~![X: $i, T: $i] : ((~organization(X, T)) | inertia(X, tptp_fun_I_0(T, X), T))) | ((~organization(X!6, T2!2)) | inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2))) <=> ((~![X: $i, T: $i] : ((~organization(X, T)) | inertia(X, tptp_fun_I_0(T, X), T))) | (~organization(X!6, T2!2)) | inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2))),
% 0.15/0.43 inference(rewrite,[status(thm)],[])).
% 0.15/0.43 tff(66,plain,
% 0.15/0.43 ((~![X: $i, T: $i] : ((~organization(X, T)) | inertia(X, tptp_fun_I_0(T, X), T))) | ((~organization(X!6, T2!2)) | inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2))),
% 0.15/0.43 inference(quant_inst,[status(thm)],[])).
% 0.15/0.43 tff(67,plain,
% 0.15/0.43 ((~![X: $i, T: $i] : ((~organization(X, T)) | inertia(X, tptp_fun_I_0(T, X), T))) | (~organization(X!6, T2!2)) | inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2)),
% 0.15/0.43 inference(modus_ponens,[status(thm)],[66, 65])).
% 0.15/0.43 tff(68,plain,
% 0.15/0.43 (inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2)),
% 0.15/0.43 inference(unit_resolution,[status(thm)],[67, 64, 10])).
% 0.15/0.43 tff(69,plain,
% 0.15/0.43 (((~![X: $i, T: $i] : ((~organization(X, T)) | inertia(X, tptp_fun_I_0(T, X), T))) | ((~organization(X!6, T1!3)) | inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3))) <=> ((~![X: $i, T: $i] : ((~organization(X, T)) | inertia(X, tptp_fun_I_0(T, X), T))) | (~organization(X!6, T1!3)) | inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3))),
% 0.15/0.43 inference(rewrite,[status(thm)],[])).
% 0.15/0.43 tff(70,plain,
% 0.15/0.43 ((~![X: $i, T: $i] : ((~organization(X, T)) | inertia(X, tptp_fun_I_0(T, X), T))) | ((~organization(X!6, T1!3)) | inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3))),
% 0.15/0.43 inference(quant_inst,[status(thm)],[])).
% 0.15/0.43 tff(71,plain,
% 0.15/0.43 ((~![X: $i, T: $i] : ((~organization(X, T)) | inertia(X, tptp_fun_I_0(T, X), T))) | (~organization(X!6, T1!3)) | inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3)),
% 0.15/0.43 inference(modus_ponens,[status(thm)],[70, 69])).
% 0.15/0.43 tff(72,plain,
% 0.15/0.43 (inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3)),
% 0.15/0.43 inference(unit_resolution,[status(thm)],[71, 64, 25])).
% 0.15/0.43 tff(73,plain,
% 0.15/0.43 (greater(T2!2, T1!3)),
% 0.15/0.43 inference(and_elim,[status(thm)],[9])).
% 0.15/0.43 tff(74,plain,
% 0.15/0.43 (^[X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : refl((greater(I2, I1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~inertia(X, I1, T1)) | (~inertia(X, I2, T2))) <=> (greater(I2, I1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~inertia(X, I1, T1)) | (~inertia(X, I2, T2))))),
% 0.15/0.43 inference(bind,[status(th)],[])).
% 0.15/0.43 tff(75,plain,
% 0.15/0.43 (![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~inertia(X, I1, T1)) | (~inertia(X, I2, T2))) <=> ![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~inertia(X, I1, T1)) | (~inertia(X, I2, T2)))),
% 0.15/0.43 inference(quant_intro,[status(thm)],[74])).
% 0.15/0.43 tff(76,plain,
% 0.15/0.43 (^[X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2) & greater(T2, T1)) <=> (~((~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~inertia(X, I1, T1)) | (~inertia(X, I2, T2))))), ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2) & greater(T2, T1))) <=> (~(~((~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~inertia(X, I1, T1)) | (~inertia(X, I2, T2))))))), rewrite((~(~((~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~inertia(X, I1, T1)) | (~inertia(X, I2, T2))))) <=> ((~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~inertia(X, I1, T1)) | (~inertia(X, I2, T2)))), ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2) & greater(T2, T1))) <=> ((~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~inertia(X, I1, T1)) | (~inertia(X, I2, T2))))), (((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2) & greater(T2, T1))) | greater(I2, I1)) <=> (((~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~inertia(X, I1, T1)) | (~inertia(X, I2, T2))) | greater(I2, I1)))), rewrite((((~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~inertia(X, I1, T1)) | (~inertia(X, I2, T2))) | greater(I2, I1)) <=> (greater(I2, I1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~inertia(X, I1, T1)) | (~inertia(X, I2, T2)))), (((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2) & greater(T2, T1))) | greater(I2, I1)) <=> (greater(I2, I1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~inertia(X, I1, T1)) | (~inertia(X, I2, T2)))))),
% 0.15/0.43 inference(bind,[status(th)],[])).
% 0.15/0.43 tff(77,plain,
% 0.15/0.43 (![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2) & greater(T2, T1))) | greater(I2, I1)) <=> ![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~inertia(X, I1, T1)) | (~inertia(X, I2, T2)))),
% 0.15/0.43 inference(quant_intro,[status(thm)],[76])).
% 0.15/0.43 tff(78,plain,
% 0.15/0.43 (![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2) & greater(T2, T1))) | greater(I2, I1)) <=> ![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2) & greater(T2, T1))) | greater(I2, I1))),
% 0.15/0.43 inference(rewrite,[status(thm)],[])).
% 0.15/0.43 tff(79,plain,
% 0.15/0.43 (^[X: $i, I1: $i, I2: $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)) & inertia(X, I1, T1)) <=> ((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2)) & inertia(X, I1, T1)))), rewrite(((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2)) & inertia(X, I1, T1)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1))), ((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & inertia(X, I1, T1)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1)))), (((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & inertia(X, I1, T1)) & inertia(X, I2, T2)) <=> ((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1)) & inertia(X, I2, T2)))), rewrite(((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1)) & inertia(X, I2, T2)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2))), (((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & inertia(X, I1, T1)) & inertia(X, I2, T2)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2)))), ((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & inertia(X, I1, T1)) & inertia(X, I2, T2)) & greater(T2, T1)) <=> ((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2)) & greater(T2, T1)))), rewrite(((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2)) & greater(T2, T1)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2) & greater(T2, T1))), ((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & inertia(X, I1, T1)) & inertia(X, I2, T2)) & greater(T2, T1)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2) & greater(T2, T1)))), (((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & inertia(X, I1, T1)) & inertia(X, I2, T2)) & greater(T2, T1)) => greater(I2, I1)) <=> ((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2) & greater(T2, T1)) => greater(I2, I1)))), rewrite(((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2) & greater(T2, T1)) => greater(I2, I1)) <=> ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2) & greater(T2, T1))) | greater(I2, I1))), (((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & inertia(X, I1, T1)) & inertia(X, I2, T2)) & greater(T2, T1)) => greater(I2, I1)) <=> ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2) & greater(T2, T1))) | greater(I2, I1))))),
% 0.15/0.44 inference(bind,[status(th)],[])).
% 0.15/0.44 tff(80,plain,
% 0.15/0.44 (![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : ((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & inertia(X, I1, T1)) & inertia(X, I2, T2)) & greater(T2, T1)) => greater(I2, I1)) <=> ![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2) & greater(T2, T1))) | greater(I2, I1))),
% 0.15/0.44 inference(quant_intro,[status(thm)],[79])).
% 0.15/0.44 tff(81,axiom,(![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : ((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & inertia(X, I1, T1)) & inertia(X, I2, T2)) & greater(T2, T1)) => greater(I2, I1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','t2_FOL')).
% 0.15/0.44 tff(82,plain,
% 0.15/0.44 (![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2) & greater(T2, T1))) | greater(I2, I1))),
% 0.15/0.44 inference(modus_ponens,[status(thm)],[81, 80])).
% 0.15/0.44 tff(83,plain,
% 0.15/0.44 (![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2) & greater(T2, T1))) | greater(I2, I1))),
% 0.15/0.44 inference(modus_ponens,[status(thm)],[82, 78])).
% 0.15/0.44 tff(84,plain,(
% 0.15/0.44 ![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2) & greater(T2, T1))) | greater(I2, I1))),
% 0.15/0.44 inference(skolemize,[status(sab)],[83])).
% 0.15/0.44 tff(85,plain,
% 0.15/0.44 (![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~inertia(X, I1, T1)) | (~inertia(X, I2, T2)))),
% 0.15/0.44 inference(modus_ponens,[status(thm)],[84, 77])).
% 0.15/0.44 tff(86,plain,
% 0.15/0.44 (![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~inertia(X, I1, T1)) | (~inertia(X, I2, T2)))),
% 0.15/0.44 inference(modus_ponens,[status(thm)],[85, 75])).
% 0.15/0.44 tff(87,plain,
% 0.15/0.44 (((~![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~inertia(X, I1, T1)) | (~inertia(X, I2, T2)))) | ((~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~greater(T2!2, T1!3)) | greater(tptp_fun_I_0(T2!2, X!6), tptp_fun_I_0(T1!3, X!6)) | (~reorganization_free(X!6, T1!3, T2!2)) | (~inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3)) | (~inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2)))) <=> ((~![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~inertia(X, I1, T1)) | (~inertia(X, I2, T2)))) | (~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~greater(T2!2, T1!3)) | greater(tptp_fun_I_0(T2!2, X!6), tptp_fun_I_0(T1!3, X!6)) | (~reorganization_free(X!6, T1!3, T2!2)) | (~inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3)) | (~inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2)))),
% 0.15/0.44 inference(rewrite,[status(thm)],[])).
% 0.15/0.44 tff(88,plain,
% 0.15/0.44 ((greater(tptp_fun_I_0(T2!2, X!6), tptp_fun_I_0(T1!3, X!6)) | (~greater(T2!2, T1!3)) | (~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~reorganization_free(X!6, T1!3, T2!2)) | (~inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3)) | (~inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2))) <=> ((~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~greater(T2!2, T1!3)) | greater(tptp_fun_I_0(T2!2, X!6), tptp_fun_I_0(T1!3, X!6)) | (~reorganization_free(X!6, T1!3, T2!2)) | (~inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3)) | (~inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2)))),
% 0.15/0.44 inference(rewrite,[status(thm)],[])).
% 0.15/0.44 tff(89,plain,
% 0.15/0.44 (((~![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~inertia(X, I1, T1)) | (~inertia(X, I2, T2)))) | (greater(tptp_fun_I_0(T2!2, X!6), tptp_fun_I_0(T1!3, X!6)) | (~greater(T2!2, T1!3)) | (~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~reorganization_free(X!6, T1!3, T2!2)) | (~inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3)) | (~inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2)))) <=> ((~![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~inertia(X, I1, T1)) | (~inertia(X, I2, T2)))) | ((~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~greater(T2!2, T1!3)) | greater(tptp_fun_I_0(T2!2, X!6), tptp_fun_I_0(T1!3, X!6)) | (~reorganization_free(X!6, T1!3, T2!2)) | (~inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3)) | (~inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2))))),
% 0.15/0.44 inference(monotonicity,[status(thm)],[88])).
% 0.15/0.44 tff(90,plain,
% 0.15/0.44 (((~![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~inertia(X, I1, T1)) | (~inertia(X, I2, T2)))) | (greater(tptp_fun_I_0(T2!2, X!6), tptp_fun_I_0(T1!3, X!6)) | (~greater(T2!2, T1!3)) | (~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~reorganization_free(X!6, T1!3, T2!2)) | (~inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3)) | (~inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2)))) <=> ((~![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~inertia(X, I1, T1)) | (~inertia(X, I2, T2)))) | (~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~greater(T2!2, T1!3)) | greater(tptp_fun_I_0(T2!2, X!6), tptp_fun_I_0(T1!3, X!6)) | (~reorganization_free(X!6, T1!3, T2!2)) | (~inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3)) | (~inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2)))),
% 0.15/0.44 inference(transitivity,[status(thm)],[89, 87])).
% 0.15/0.44 tff(91,plain,
% 0.15/0.44 ((~![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~inertia(X, I1, T1)) | (~inertia(X, I2, T2)))) | (greater(tptp_fun_I_0(T2!2, X!6), tptp_fun_I_0(T1!3, X!6)) | (~greater(T2!2, T1!3)) | (~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~reorganization_free(X!6, T1!3, T2!2)) | (~inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3)) | (~inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2)))),
% 0.15/0.44 inference(quant_inst,[status(thm)],[])).
% 0.15/0.44 tff(92,plain,
% 0.15/0.44 ((~![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~inertia(X, I1, T1)) | (~inertia(X, I2, T2)))) | (~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~greater(T2!2, T1!3)) | greater(tptp_fun_I_0(T2!2, X!6), tptp_fun_I_0(T1!3, X!6)) | (~reorganization_free(X!6, T1!3, T2!2)) | (~inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3)) | (~inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2))),
% 0.15/0.44 inference(modus_ponens,[status(thm)],[91, 90])).
% 0.15/0.44 tff(93,plain,
% 0.15/0.44 (greater(tptp_fun_I_0(T2!2, X!6), tptp_fun_I_0(T1!3, X!6))),
% 0.15/0.44 inference(unit_resolution,[status(thm)],[92, 86, 25, 10, 30, 73, 72, 68])).
% 0.15/0.44 tff(94,plain,
% 0.15/0.44 (^[X: $i, Y: $i] : refl(((~greater(X, Y)) | (~greater(Y, X))) <=> ((~greater(X, Y)) | (~greater(Y, X))))),
% 0.15/0.44 inference(bind,[status(th)],[])).
% 0.15/0.44 tff(95,plain,
% 0.15/0.44 (![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X))) <=> ![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))),
% 0.15/0.44 inference(quant_intro,[status(thm)],[94])).
% 0.15/0.44 tff(96,plain,
% 0.15/0.44 (^[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)))))),
% 0.15/0.44 inference(bind,[status(th)],[])).
% 0.15/0.44 tff(97,plain,
% 0.15/0.44 (![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X))) <=> ![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))),
% 0.15/0.44 inference(quant_intro,[status(thm)],[96])).
% 0.15/0.44 tff(98,plain,
% 0.15/0.44 (![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X))) <=> ![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X)))),
% 0.15/0.44 inference(rewrite,[status(thm)],[])).
% 0.15/0.44 tff(99,axiom,(![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp6_2')).
% 0.15/0.44 tff(100,plain,
% 0.15/0.44 (![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X)))),
% 0.15/0.44 inference(modus_ponens,[status(thm)],[99, 98])).
% 0.15/0.44 tff(101,plain,(
% 0.15/0.44 ![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X)))),
% 0.15/0.44 inference(skolemize,[status(sab)],[100])).
% 0.15/0.44 tff(102,plain,
% 0.15/0.44 (![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))),
% 0.15/0.44 inference(modus_ponens,[status(thm)],[101, 97])).
% 0.15/0.44 tff(103,plain,
% 0.15/0.44 (![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))),
% 0.15/0.44 inference(modus_ponens,[status(thm)],[102, 95])).
% 0.15/0.44 tff(104,plain,
% 0.15/0.44 (((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(tptp_fun_I_0(T1!3, X!6), tptp_fun_I_0(T2!2, X!6))) | (~greater(tptp_fun_I_0(T2!2, X!6), tptp_fun_I_0(T1!3, X!6))))) <=> ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(tptp_fun_I_0(T1!3, X!6), tptp_fun_I_0(T2!2, X!6))) | (~greater(tptp_fun_I_0(T2!2, X!6), tptp_fun_I_0(T1!3, X!6))))),
% 0.15/0.44 inference(rewrite,[status(thm)],[])).
% 0.15/0.44 tff(105,plain,
% 0.15/0.44 ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(tptp_fun_I_0(T1!3, X!6), tptp_fun_I_0(T2!2, X!6))) | (~greater(tptp_fun_I_0(T2!2, X!6), tptp_fun_I_0(T1!3, X!6))))),
% 0.15/0.44 inference(quant_inst,[status(thm)],[])).
% 0.15/0.44 tff(106,plain,
% 0.15/0.44 ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(tptp_fun_I_0(T1!3, X!6), tptp_fun_I_0(T2!2, X!6))) | (~greater(tptp_fun_I_0(T2!2, X!6), tptp_fun_I_0(T1!3, X!6)))),
% 0.15/0.44 inference(modus_ponens,[status(thm)],[105, 104])).
% 0.15/0.44 tff(107,plain,
% 0.15/0.44 (~greater(tptp_fun_I_0(T1!3, X!6), tptp_fun_I_0(T2!2, X!6))),
% 0.15/0.44 inference(unit_resolution,[status(thm)],[106, 103, 93])).
% 0.15/0.44 tff(108,plain,
% 0.15/0.44 (complexity(X!6, C2!4, T2!2)),
% 0.15/0.44 inference(and_elim,[status(thm)],[9])).
% 0.15/0.44 tff(109,plain,
% 0.15/0.44 (complexity(X!6, C1!5, T1!3)),
% 0.15/0.44 inference(and_elim,[status(thm)],[9])).
% 0.15/0.44 tff(110,plain,
% 0.15/0.44 (greater(C1!5, C2!4)),
% 0.15/0.44 inference(or_elim,[status(thm)],[8])).
% 0.15/0.44 tff(111,plain,
% 0.15/0.44 (^[X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : refl((greater(I2, I1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~complexity(X, C1, T1)) | (~complexity(Y, C2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(C2, C1))) <=> (greater(I2, I1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~complexity(X, C1, T1)) | (~complexity(Y, C2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(C2, C1))))),
% 0.15/0.44 inference(bind,[status(th)],[])).
% 0.15/0.44 tff(112,plain,
% 0.15/0.44 (![X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~complexity(X, C1, T1)) | (~complexity(Y, C2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(C2, C1))) <=> ![X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~complexity(X, C1, T1)) | (~complexity(Y, C2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(C2, C1)))),
% 0.15/0.44 inference(quant_intro,[status(thm)],[111])).
% 0.15/0.44 tff(113,plain,
% 0.15/0.44 (^[X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & complexity(X, C1, T1) & complexity(Y, C2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & greater(C2, C1)) <=> (~((~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~complexity(X, C1, T1)) | (~complexity(Y, C2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(C2, C1))))), ((~(organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & complexity(X, C1, T1) & complexity(Y, C2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & greater(C2, C1))) <=> (~(~((~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~complexity(X, C1, T1)) | (~complexity(Y, C2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(C2, C1))))))), rewrite((~(~((~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~complexity(X, C1, T1)) | (~complexity(Y, C2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(C2, C1))))) <=> ((~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~complexity(X, C1, T1)) | (~complexity(Y, C2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(C2, C1)))), ((~(organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & complexity(X, C1, T1) & complexity(Y, C2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & greater(C2, C1))) <=> ((~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~complexity(X, C1, T1)) | (~complexity(Y, C2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(C2, C1))))), (((~(organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & complexity(X, C1, T1) & complexity(Y, C2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & greater(C2, C1))) | greater(I2, I1)) <=> (((~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~complexity(X, C1, T1)) | (~complexity(Y, C2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(C2, C1))) | greater(I2, I1)))), rewrite((((~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~complexity(X, C1, T1)) | (~complexity(Y, C2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(C2, C1))) | greater(I2, I1)) <=> (greater(I2, I1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~complexity(X, C1, T1)) | (~complexity(Y, C2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(C2, C1)))), (((~(organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & complexity(X, C1, T1) & complexity(Y, C2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & greater(C2, C1))) | greater(I2, I1)) <=> (greater(I2, I1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~complexity(X, C1, T1)) | (~complexity(Y, C2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(C2, C1)))))),
% 0.15/0.44 inference(bind,[status(th)],[])).
% 0.15/0.44 tff(114,plain,
% 0.15/0.44 (![X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & complexity(X, C1, T1) & complexity(Y, C2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & greater(C2, C1))) | greater(I2, I1)) <=> ![X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~complexity(X, C1, T1)) | (~complexity(Y, C2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(C2, C1)))),
% 0.15/0.44 inference(quant_intro,[status(thm)],[113])).
% 0.15/0.44 tff(115,plain,
% 0.15/0.44 (![X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & complexity(X, C1, T1) & complexity(Y, C2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & greater(C2, C1))) | greater(I2, I1)) <=> ![X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & complexity(X, C1, T1) & complexity(Y, C2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & greater(C2, C1))) | greater(I2, I1))),
% 0.15/0.44 inference(rewrite,[status(thm)],[])).
% 0.15/0.44 tff(116,plain,
% 0.15/0.44 (^[X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((organization(X, T1) & organization(Y, T2)) & class(X, C, T1)) <=> (organization(X, T1) & organization(Y, T2) & class(X, C, T1))), ((((organization(X, T1) & organization(Y, T2)) & class(X, C, T1)) & class(Y, C, T2)) <=> ((organization(X, T1) & organization(Y, T2) & class(X, C, T1)) & class(Y, C, T2)))), rewrite(((organization(X, T1) & organization(Y, T2) & class(X, C, T1)) & class(Y, C, T2)) <=> (organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2))), ((((organization(X, T1) & organization(Y, T2)) & class(X, C, T1)) & class(Y, C, T2)) <=> (organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2)))), (((((organization(X, T1) & organization(Y, T2)) & class(X, C, T1)) & class(Y, C, T2)) & complexity(X, C1, T1)) <=> ((organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2)) & complexity(X, C1, T1)))), rewrite(((organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2)) & complexity(X, C1, T1)) <=> (organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & complexity(X, C1, T1))), (((((organization(X, T1) & organization(Y, T2)) & class(X, C, T1)) & class(Y, C, T2)) & complexity(X, C1, T1)) <=> (organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & complexity(X, C1, T1)))), ((((((organization(X, T1) & organization(Y, T2)) & class(X, C, T1)) & class(Y, C, T2)) & complexity(X, C1, T1)) & complexity(Y, C2, T2)) <=> ((organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & complexity(X, C1, T1)) & complexity(Y, C2, T2)))), rewrite(((organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & complexity(X, C1, T1)) & complexity(Y, C2, T2)) <=> (organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & complexity(X, C1, T1) & complexity(Y, C2, T2))), ((((((organization(X, T1) & organization(Y, T2)) & class(X, C, T1)) & class(Y, C, T2)) & complexity(X, C1, T1)) & complexity(Y, C2, T2)) <=> (organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & complexity(X, C1, T1) & complexity(Y, C2, T2)))), (((((((organization(X, T1) & organization(Y, T2)) & class(X, C, T1)) & class(Y, C, T2)) & complexity(X, C1, T1)) & complexity(Y, C2, T2)) & inertia(X, I1, T1)) <=> ((organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & complexity(X, C1, T1) & complexity(Y, C2, T2)) & inertia(X, I1, T1)))), rewrite(((organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & complexity(X, C1, T1) & complexity(Y, C2, T2)) & inertia(X, I1, T1)) <=> (organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & complexity(X, C1, T1) & complexity(Y, C2, T2) & inertia(X, I1, T1))), (((((((organization(X, T1) & organization(Y, T2)) & class(X, C, T1)) & class(Y, C, T2)) & complexity(X, C1, T1)) & complexity(Y, C2, T2)) & inertia(X, I1, T1)) <=> (organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & complexity(X, C1, T1) & complexity(Y, C2, T2) & inertia(X, I1, T1)))), ((((((((organization(X, T1) & organization(Y, T2)) & class(X, C, T1)) & class(Y, C, T2)) & complexity(X, C1, T1)) & complexity(Y, C2, T2)) & inertia(X, I1, T1)) & inertia(Y, I2, T2)) <=> ((organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & complexity(X, C1, T1) & complexity(Y, C2, T2) & inertia(X, I1, T1)) & inertia(Y, I2, T2)))), rewrite(((organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & complexity(X, C1, T1) & complexity(Y, C2, T2) & inertia(X, I1, T1)) & inertia(Y, I2, T2)) <=> (organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & complexity(X, C1, T1) & complexity(Y, C2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2))), ((((((((organization(X, T1) & organization(Y, T2)) & class(X, C, T1)) & class(Y, C, T2)) & complexity(X, C1, T1)) & complexity(Y, C2, T2)) & inertia(X, I1, T1)) & inertia(Y, I2, T2)) <=> (organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & complexity(X, C1, T1) & complexity(Y, C2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2)))), (((((((((organization(X, T1) & organization(Y, T2)) & class(X, C, T1)) & class(Y, C, T2)) & complexity(X, C1, T1)) & complexity(Y, C2, T2)) & inertia(X, I1, T1)) & inertia(Y, I2, T2)) & greater(C2, C1)) <=> ((organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & complexity(X, C1, T1) & complexity(Y, C2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2)) & greater(C2, C1)))), rewrite(((organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & complexity(X, C1, T1) & complexity(Y, C2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2)) & greater(C2, C1)) <=> (organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & complexity(X, C1, T1) & complexity(Y, C2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & greater(C2, C1))), (((((((((organization(X, T1) & organization(Y, T2)) & class(X, C, T1)) & class(Y, C, T2)) & complexity(X, C1, T1)) & complexity(Y, C2, T2)) & inertia(X, I1, T1)) & inertia(Y, I2, T2)) & greater(C2, C1)) <=> (organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & complexity(X, C1, T1) & complexity(Y, C2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & greater(C2, C1)))), ((((((((((organization(X, T1) & organization(Y, T2)) & class(X, C, T1)) & class(Y, C, T2)) & complexity(X, C1, T1)) & complexity(Y, C2, T2)) & inertia(X, I1, T1)) & inertia(Y, I2, T2)) & greater(C2, C1)) => greater(I2, I1)) <=> ((organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & complexity(X, C1, T1) & complexity(Y, C2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & greater(C2, C1)) => greater(I2, I1)))), rewrite(((organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & complexity(X, C1, T1) & complexity(Y, C2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & greater(C2, C1)) => greater(I2, I1)) <=> ((~(organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & complexity(X, C1, T1) & complexity(Y, C2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & greater(C2, C1))) | greater(I2, I1))), ((((((((((organization(X, T1) & organization(Y, T2)) & class(X, C, T1)) & class(Y, C, T2)) & complexity(X, C1, T1)) & complexity(Y, C2, T2)) & inertia(X, I1, T1)) & inertia(Y, I2, T2)) & greater(C2, C1)) => greater(I2, I1)) <=> ((~(organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & complexity(X, C1, T1) & complexity(Y, C2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & greater(C2, C1))) | greater(I2, I1))))),
% 0.15/0.44 inference(bind,[status(th)],[])).
% 0.15/0.44 tff(117,plain,
% 0.15/0.44 (![X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (((((((((organization(X, T1) & organization(Y, T2)) & class(X, C, T1)) & class(Y, C, T2)) & complexity(X, C1, T1)) & complexity(Y, C2, T2)) & inertia(X, I1, T1)) & inertia(Y, I2, T2)) & greater(C2, C1)) => greater(I2, I1)) <=> ![X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & complexity(X, C1, T1) & complexity(Y, C2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & greater(C2, C1))) | greater(I2, I1))),
% 0.15/0.44 inference(quant_intro,[status(thm)],[116])).
% 0.15/0.44 tff(118,axiom,(![X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (((((((((organization(X, T1) & organization(Y, T2)) & class(X, C, T1)) & class(Y, C, T2)) & complexity(X, C1, T1)) & complexity(Y, C2, T2)) & inertia(X, I1, T1)) & inertia(Y, I2, T2)) & greater(C2, C1)) => greater(I2, I1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','a12_FOL')).
% 0.15/0.44 tff(119,plain,
% 0.15/0.44 (![X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & complexity(X, C1, T1) & complexity(Y, C2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & greater(C2, C1))) | greater(I2, I1))),
% 0.15/0.45 inference(modus_ponens,[status(thm)],[118, 117])).
% 0.15/0.45 tff(120,plain,
% 0.15/0.45 (![X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & complexity(X, C1, T1) & complexity(Y, C2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & greater(C2, C1))) | greater(I2, I1))),
% 0.15/0.45 inference(modus_ponens,[status(thm)],[119, 115])).
% 0.15/0.45 tff(121,plain,(
% 0.15/0.45 ![X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & complexity(X, C1, T1) & complexity(Y, C2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & greater(C2, C1))) | greater(I2, I1))),
% 0.15/0.45 inference(skolemize,[status(sab)],[120])).
% 0.15/0.45 tff(122,plain,
% 0.15/0.45 (![X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~complexity(X, C1, T1)) | (~complexity(Y, C2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(C2, C1)))),
% 0.15/0.45 inference(modus_ponens,[status(thm)],[121, 114])).
% 0.15/0.45 tff(123,plain,
% 0.15/0.45 (![X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~complexity(X, C1, T1)) | (~complexity(Y, C2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(C2, C1)))),
% 0.15/0.45 inference(modus_ponens,[status(thm)],[122, 112])).
% 0.15/0.45 tff(124,plain,
% 0.15/0.45 (((~![X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~complexity(X, C1, T1)) | (~complexity(Y, C2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(C2, C1)))) | ((~greater(C1!5, C2!4)) | (~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3)) | (~inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2)) | (~complexity(X!6, C1!5, T1!3)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2)) | (~complexity(X!6, C2!4, T2!2)) | greater(tptp_fun_I_0(T1!3, X!6), tptp_fun_I_0(T2!2, X!6)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T1!3)))) <=> ((~![X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~complexity(X, C1, T1)) | (~complexity(Y, C2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(C2, C1)))) | (~greater(C1!5, C2!4)) | (~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3)) | (~inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2)) | (~complexity(X!6, C1!5, T1!3)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2)) | (~complexity(X!6, C2!4, T2!2)) | greater(tptp_fun_I_0(T1!3, X!6), tptp_fun_I_0(T2!2, X!6)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T1!3)))),
% 0.15/0.45 inference(rewrite,[status(thm)],[])).
% 0.15/0.45 tff(125,plain,
% 0.15/0.45 ((greater(tptp_fun_I_0(T1!3, X!6), tptp_fun_I_0(T2!2, X!6)) | (~organization(X!6, T2!2)) | (~organization(X!6, T1!3)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T1!3)) | (~complexity(X!6, C2!4, T2!2)) | (~complexity(X!6, C1!5, T1!3)) | (~inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2)) | (~inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3)) | (~greater(C1!5, C2!4))) <=> ((~greater(C1!5, C2!4)) | (~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3)) | (~inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2)) | (~complexity(X!6, C1!5, T1!3)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2)) | (~complexity(X!6, C2!4, T2!2)) | greater(tptp_fun_I_0(T1!3, X!6), tptp_fun_I_0(T2!2, X!6)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T1!3)))),
% 0.15/0.45 inference(rewrite,[status(thm)],[])).
% 0.15/0.45 tff(126,plain,
% 0.15/0.45 (((~![X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~complexity(X, C1, T1)) | (~complexity(Y, C2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(C2, C1)))) | (greater(tptp_fun_I_0(T1!3, X!6), tptp_fun_I_0(T2!2, X!6)) | (~organization(X!6, T2!2)) | (~organization(X!6, T1!3)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T1!3)) | (~complexity(X!6, C2!4, T2!2)) | (~complexity(X!6, C1!5, T1!3)) | (~inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2)) | (~inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3)) | (~greater(C1!5, C2!4)))) <=> ((~![X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~complexity(X, C1, T1)) | (~complexity(Y, C2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(C2, C1)))) | ((~greater(C1!5, C2!4)) | (~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3)) | (~inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2)) | (~complexity(X!6, C1!5, T1!3)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2)) | (~complexity(X!6, C2!4, T2!2)) | greater(tptp_fun_I_0(T1!3, X!6), tptp_fun_I_0(T2!2, X!6)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T1!3))))),
% 0.15/0.45 inference(monotonicity,[status(thm)],[125])).
% 0.15/0.45 tff(127,plain,
% 0.15/0.45 (((~![X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~complexity(X, C1, T1)) | (~complexity(Y, C2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(C2, C1)))) | (greater(tptp_fun_I_0(T1!3, X!6), tptp_fun_I_0(T2!2, X!6)) | (~organization(X!6, T2!2)) | (~organization(X!6, T1!3)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T1!3)) | (~complexity(X!6, C2!4, T2!2)) | (~complexity(X!6, C1!5, T1!3)) | (~inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2)) | (~inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3)) | (~greater(C1!5, C2!4)))) <=> ((~![X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~complexity(X, C1, T1)) | (~complexity(Y, C2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(C2, C1)))) | (~greater(C1!5, C2!4)) | (~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3)) | (~inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2)) | (~complexity(X!6, C1!5, T1!3)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2)) | (~complexity(X!6, C2!4, T2!2)) | greater(tptp_fun_I_0(T1!3, X!6), tptp_fun_I_0(T2!2, X!6)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T1!3)))),
% 0.15/0.45 inference(transitivity,[status(thm)],[126, 124])).
% 0.15/0.45 tff(128,plain,
% 0.15/0.45 ((~![X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~complexity(X, C1, T1)) | (~complexity(Y, C2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(C2, C1)))) | (greater(tptp_fun_I_0(T1!3, X!6), tptp_fun_I_0(T2!2, X!6)) | (~organization(X!6, T2!2)) | (~organization(X!6, T1!3)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T1!3)) | (~complexity(X!6, C2!4, T2!2)) | (~complexity(X!6, C1!5, T1!3)) | (~inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2)) | (~inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3)) | (~greater(C1!5, C2!4)))),
% 0.15/0.45 inference(quant_inst,[status(thm)],[])).
% 0.15/0.45 tff(129,plain,
% 0.15/0.45 ((~![X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~complexity(X, C1, T1)) | (~complexity(Y, C2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(C2, C1)))) | (~greater(C1!5, C2!4)) | (~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3)) | (~inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2)) | (~complexity(X!6, C1!5, T1!3)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2)) | (~complexity(X!6, C2!4, T2!2)) | greater(tptp_fun_I_0(T1!3, X!6), tptp_fun_I_0(T2!2, X!6)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T1!3))),
% 0.15/0.45 inference(modus_ponens,[status(thm)],[128, 127])).
% 0.15/0.45 tff(130,plain,
% 0.15/0.45 (~class(X!6, tptp_fun_C_1(T2!2, X!6), T1!3)),
% 0.15/0.45 inference(unit_resolution,[status(thm)],[129, 123, 110, 25, 10, 109, 108, 72, 68, 24, 107])).
% 0.15/0.45 tff(131,plain,
% 0.15/0.45 ($false),
% 0.15/0.45 inference(unit_resolution,[status(thm)],[130, 54])).
% 0.15/0.45 % SZS output end Proof
% 0.15/0.46 % E exiting
%------------------------------------------------------------------------------