%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT016+1 : TPTP v9.3.0. Released v2.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n011.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 0.13s 0.41s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT016+1 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.03 % Command : run_E %s %d THM
% 0.08/0.35 % Computer : n011.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 7 11:55:32 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.13/0.41 % SZS status Theorem
% 0.13/0.41 % SZS output start Proof
% 0.13/0.41 tff(greater_type, type, (
% 0.13/0.41 greater: ( $i * $i ) > $o)).
% 0.13/0.41 tff(tptp_fun_I_0_type, type, (
% 0.13/0.41 tptp_fun_I_0: ( $i * $i ) > $i)).
% 0.13/0.41 tff(tptp_fun_X_9_type, type, (
% 0.13/0.41 tptp_fun_X_9: $i)).
% 0.13/0.41 tff(tptp_fun_Ta_3_type, type, (
% 0.13/0.41 tptp_fun_Ta_3: $i)).
% 0.13/0.41 tff(tptp_fun_Y_8_type, type, (
% 0.13/0.41 tptp_fun_Y_8: $i)).
% 0.13/0.41 tff(inertia_type, type, (
% 0.13/0.41 inertia: ( $i * $i * $i ) > $o)).
% 0.13/0.41 tff(organization_type, type, (
% 0.13/0.41 organization: ( $i * $i ) > $o)).
% 0.13/0.41 tff(tptp_fun_C1_5_type, type, (
% 0.13/0.41 tptp_fun_C1_5: $i)).
% 0.13/0.41 tff(tptp_fun_C2_4_type, type, (
% 0.13/0.41 tptp_fun_C2_4: $i)).
% 0.13/0.41 tff(complexity_type, type, (
% 0.13/0.41 complexity: ( $i * $i * $i ) > $o)).
% 0.13/0.41 tff(reorganization_type_type, type, (
% 0.13/0.41 reorganization_type: ( $i * $i * $i ) > $o)).
% 0.13/0.41 tff(tptp_fun_Rt_7_type, type, (
% 0.13/0.41 tptp_fun_Rt_7: $i)).
% 0.13/0.41 tff(reorganization_type, type, (
% 0.13/0.41 reorganization: ( $i * $i * $i ) > $o)).
% 0.13/0.41 tff(tptp_fun_Tc_1_type, type, (
% 0.13/0.41 tptp_fun_Tc_1: $i)).
% 0.13/0.41 tff(tptp_fun_Tb_2_type, type, (
% 0.13/0.41 tptp_fun_Tb_2: $i)).
% 0.13/0.41 tff(class_type, type, (
% 0.13/0.41 class: ( $i * $i * $i ) > $o)).
% 0.13/0.41 tff(tptp_fun_C_6_type, type, (
% 0.13/0.41 tptp_fun_C_6: $i)).
% 0.13/0.41 tff(1,plain,
% 0.13/0.41 ((~![X: $i, Y: $i, Rt: $i, C: $i, C1: $i, C2: $i, Ta: $i, Tb: $i, Tc: $i] : ((~(organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta) & reorganization(X, Ta, Tb) & reorganization(Y, Ta, Tc) & reorganization_type(X, Rt, Ta) & reorganization_type(Y, Rt, Ta) & complexity(X, C1, Ta) & complexity(Y, C2, Ta) & greater(C2, C1))) | greater(Tb, Tc))) <=> (~![X: $i, Y: $i, Rt: $i, C: $i, C1: $i, C2: $i, Ta: $i, Tb: $i, Tc: $i] : ((~(organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta) & reorganization(X, Ta, Tb) & reorganization(Y, Ta, Tc) & reorganization_type(X, Rt, Ta) & reorganization_type(Y, Rt, Ta) & complexity(X, C1, Ta) & complexity(Y, C2, Ta) & greater(C2, C1))) | greater(Tb, Tc)))),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(2,plain,
% 0.13/0.41 ((~![X: $i, Y: $i, Rt: $i, C: $i, C1: $i, C2: $i, Ta: $i, Tb: $i, Tc: $i] : ((((((((((((organization(X, Ta) & organization(Y, Ta)) & (~organization(Y, Tc))) & class(X, C, Ta)) & class(Y, C, Ta)) & reorganization(X, Ta, Tb)) & reorganization(Y, Ta, Tc)) & reorganization_type(X, Rt, Ta)) & reorganization_type(Y, Rt, Ta)) & complexity(X, C1, Ta)) & complexity(Y, C2, Ta)) & greater(C2, C1)) => greater(Tb, Tc))) <=> (~![X: $i, Y: $i, Rt: $i, C: $i, C1: $i, C2: $i, Ta: $i, Tb: $i, Tc: $i] : ((~(organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta) & reorganization(X, Ta, Tb) & reorganization(Y, Ta, Tc) & reorganization_type(X, Rt, Ta) & reorganization_type(Y, Rt, Ta) & complexity(X, C1, Ta) & complexity(Y, C2, Ta) & greater(C2, C1))) | greater(Tb, Tc)))),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(3,axiom,(~![X: $i, Y: $i, Rt: $i, C: $i, C1: $i, C2: $i, Ta: $i, Tb: $i, Tc: $i] : ((((((((((((organization(X, Ta) & organization(Y, Ta)) & (~organization(Y, Tc))) & class(X, C, Ta)) & class(Y, C, Ta)) & reorganization(X, Ta, Tb)) & reorganization(Y, Ta, Tc)) & reorganization_type(X, Rt, Ta)) & reorganization_type(Y, Rt, Ta)) & complexity(X, C1, Ta)) & complexity(Y, C2, Ta)) & greater(C2, C1)) => greater(Tb, Tc))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','t16_FOL')).
% 0.13/0.41 tff(4,plain,
% 0.13/0.41 (~![X: $i, Y: $i, Rt: $i, C: $i, C1: $i, C2: $i, Ta: $i, Tb: $i, Tc: $i] : ((~(organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta) & reorganization(X, Ta, Tb) & reorganization(Y, Ta, Tc) & reorganization_type(X, Rt, Ta) & reorganization_type(Y, Rt, Ta) & complexity(X, C1, Ta) & complexity(Y, C2, Ta) & greater(C2, C1))) | greater(Tb, Tc))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.13/0.41 tff(5,plain,
% 0.13/0.41 (~![X: $i, Y: $i, Rt: $i, C: $i, C1: $i, C2: $i, Ta: $i, Tb: $i, Tc: $i] : ((~(organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta) & reorganization(X, Ta, Tb) & reorganization(Y, Ta, Tc) & reorganization_type(X, Rt, Ta) & reorganization_type(Y, Rt, Ta) & complexity(X, C1, Ta) & complexity(Y, C2, Ta) & greater(C2, C1))) | greater(Tb, Tc))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[4, 1])).
% 0.13/0.41 tff(6,plain,
% 0.13/0.41 (~![X: $i, Y: $i, Rt: $i, C: $i, C1: $i, C2: $i, Ta: $i, Tb: $i, Tc: $i] : ((~(organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta) & reorganization(X, Ta, Tb) & reorganization(Y, Ta, Tc) & reorganization_type(X, Rt, Ta) & reorganization_type(Y, Rt, Ta) & complexity(X, C1, Ta) & complexity(Y, C2, Ta) & greater(C2, C1))) | greater(Tb, Tc))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.13/0.41 tff(7,plain,
% 0.13/0.41 (~![X: $i, Y: $i, Rt: $i, C: $i, C1: $i, C2: $i, Ta: $i, Tb: $i, Tc: $i] : ((~(organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta) & reorganization(X, Ta, Tb) & reorganization(Y, Ta, Tc) & reorganization_type(X, Rt, Ta) & reorganization_type(Y, Rt, Ta) & complexity(X, C1, Ta) & complexity(Y, C2, Ta) & greater(C2, C1))) | greater(Tb, Tc))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[6, 1])).
% 0.13/0.41 tff(8,plain,(
% 0.13/0.41 ~((~(organization(X!9, Ta!3) & organization(Y!8, Ta!3) & (~organization(Y!8, Tc!1)) & class(X!9, C!6, Ta!3) & class(Y!8, C!6, Ta!3) & reorganization(X!9, Ta!3, Tb!2) & reorganization(Y!8, Ta!3, Tc!1) & reorganization_type(X!9, Rt!7, Ta!3) & reorganization_type(Y!8, Rt!7, Ta!3) & complexity(X!9, C1!5, Ta!3) & complexity(Y!8, C2!4, Ta!3) & greater(C2!4, C1!5))) | greater(Tb!2, Tc!1))),
% 0.13/0.41 inference(skolemize,[status(sab)],[7])).
% 0.13/0.41 tff(9,plain,
% 0.13/0.41 (organization(X!9, Ta!3) & organization(Y!8, Ta!3) & (~organization(Y!8, Tc!1)) & class(X!9, C!6, Ta!3) & class(Y!8, C!6, Ta!3) & reorganization(X!9, Ta!3, Tb!2) & reorganization(Y!8, Ta!3, Tc!1) & reorganization_type(X!9, Rt!7, Ta!3) & reorganization_type(Y!8, Rt!7, Ta!3) & complexity(X!9, C1!5, Ta!3) & complexity(Y!8, C2!4, Ta!3) & greater(C2!4, C1!5)),
% 0.13/0.41 inference(or_elim,[status(thm)],[8])).
% 0.13/0.41 tff(10,plain,
% 0.13/0.41 (organization(Y!8, Ta!3)),
% 0.13/0.41 inference(and_elim,[status(thm)],[9])).
% 0.13/0.41 tff(11,plain,
% 0.13/0.41 (^[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)))),
% 0.13/0.41 inference(bind,[status(th)],[])).
% 0.13/0.41 tff(12,plain,
% 0.13/0.41 (![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))),
% 0.13/0.41 inference(quant_intro,[status(thm)],[11])).
% 0.13/0.41 tff(13,plain,
% 0.13/0.41 (![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))),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(14,plain,
% 0.13/0.41 (^[X: $i, T: $i] : rewrite((organization(X, T) => ?[I: $i] : inertia(X, I, T)) <=> ((~organization(X, T)) | ?[I: $i] : inertia(X, I, T)))),
% 0.13/0.41 inference(bind,[status(th)],[])).
% 0.13/0.41 tff(15,plain,
% 0.13/0.41 (![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))),
% 0.13/0.41 inference(quant_intro,[status(thm)],[14])).
% 0.13/0.41 tff(16,axiom,(![X: $i, T: $i] : (organization(X, T) => ?[I: $i] : inertia(X, I, T))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp5')).
% 0.13/0.41 tff(17,plain,
% 0.13/0.41 (![X: $i, T: $i] : ((~organization(X, T)) | ?[I: $i] : inertia(X, I, T))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.13/0.41 tff(18,plain,
% 0.13/0.41 (![X: $i, T: $i] : ((~organization(X, T)) | ?[I: $i] : inertia(X, I, T))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[17, 13])).
% 0.13/0.41 tff(19,plain,(
% 0.13/0.41 ![X: $i, T: $i] : ((~organization(X, T)) | inertia(X, tptp_fun_I_0(T, X), T))),
% 0.13/0.41 inference(skolemize,[status(sab)],[18])).
% 0.13/0.41 tff(20,plain,
% 0.13/0.41 (![X: $i, T: $i] : ((~organization(X, T)) | inertia(X, tptp_fun_I_0(T, X), T))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[19, 12])).
% 0.13/0.41 tff(21,plain,
% 0.13/0.41 (((~![X: $i, T: $i] : ((~organization(X, T)) | inertia(X, tptp_fun_I_0(T, X), T))) | ((~organization(Y!8, Ta!3)) | inertia(Y!8, tptp_fun_I_0(Ta!3, Y!8), Ta!3))) <=> ((~![X: $i, T: $i] : ((~organization(X, T)) | inertia(X, tptp_fun_I_0(T, X), T))) | (~organization(Y!8, Ta!3)) | inertia(Y!8, tptp_fun_I_0(Ta!3, Y!8), Ta!3))),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(22,plain,
% 0.13/0.41 ((~![X: $i, T: $i] : ((~organization(X, T)) | inertia(X, tptp_fun_I_0(T, X), T))) | ((~organization(Y!8, Ta!3)) | inertia(Y!8, tptp_fun_I_0(Ta!3, Y!8), Ta!3))),
% 0.13/0.41 inference(quant_inst,[status(thm)],[])).
% 0.13/0.41 tff(23,plain,
% 0.13/0.41 ((~![X: $i, T: $i] : ((~organization(X, T)) | inertia(X, tptp_fun_I_0(T, X), T))) | (~organization(Y!8, Ta!3)) | inertia(Y!8, tptp_fun_I_0(Ta!3, Y!8), Ta!3)),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[22, 21])).
% 0.13/0.41 tff(24,plain,
% 0.13/0.41 (inertia(Y!8, tptp_fun_I_0(Ta!3, Y!8), Ta!3)),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[23, 20, 10])).
% 0.13/0.41 tff(25,plain,
% 0.13/0.41 (organization(X!9, Ta!3)),
% 0.13/0.41 inference(and_elim,[status(thm)],[9])).
% 0.13/0.41 tff(26,plain,
% 0.13/0.41 (((~![X: $i, T: $i] : ((~organization(X, T)) | inertia(X, tptp_fun_I_0(T, X), T))) | ((~organization(X!9, Ta!3)) | inertia(X!9, tptp_fun_I_0(Ta!3, X!9), Ta!3))) <=> ((~![X: $i, T: $i] : ((~organization(X, T)) | inertia(X, tptp_fun_I_0(T, X), T))) | (~organization(X!9, Ta!3)) | inertia(X!9, tptp_fun_I_0(Ta!3, X!9), Ta!3))),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(27,plain,
% 0.13/0.41 ((~![X: $i, T: $i] : ((~organization(X, T)) | inertia(X, tptp_fun_I_0(T, X), T))) | ((~organization(X!9, Ta!3)) | inertia(X!9, tptp_fun_I_0(Ta!3, X!9), Ta!3))),
% 0.13/0.41 inference(quant_inst,[status(thm)],[])).
% 0.13/0.41 tff(28,plain,
% 0.13/0.41 ((~![X: $i, T: $i] : ((~organization(X, T)) | inertia(X, tptp_fun_I_0(T, X), T))) | (~organization(X!9, Ta!3)) | inertia(X!9, tptp_fun_I_0(Ta!3, X!9), Ta!3)),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[27, 26])).
% 0.13/0.41 tff(29,plain,
% 0.13/0.41 (inertia(X!9, tptp_fun_I_0(Ta!3, X!9), Ta!3)),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[28, 20, 25])).
% 0.13/0.41 tff(30,plain,
% 0.13/0.41 (~greater(Tb!2, Tc!1)),
% 0.13/0.41 inference(or_elim,[status(thm)],[8])).
% 0.13/0.41 tff(31,plain,
% 0.13/0.41 (reorganization_type(Y!8, Rt!7, Ta!3)),
% 0.13/0.41 inference(and_elim,[status(thm)],[9])).
% 0.13/0.41 tff(32,plain,
% 0.13/0.41 (reorganization_type(X!9, Rt!7, Ta!3)),
% 0.13/0.41 inference(and_elim,[status(thm)],[9])).
% 0.13/0.41 tff(33,plain,
% 0.13/0.41 (reorganization(Y!8, Ta!3, Tc!1)),
% 0.13/0.41 inference(and_elim,[status(thm)],[9])).
% 0.13/0.41 tff(34,plain,
% 0.13/0.41 (reorganization(X!9, Ta!3, Tb!2)),
% 0.13/0.41 inference(and_elim,[status(thm)],[9])).
% 0.13/0.41 tff(35,plain,
% 0.13/0.41 (class(Y!8, C!6, Ta!3)),
% 0.13/0.41 inference(and_elim,[status(thm)],[9])).
% 0.13/0.41 tff(36,plain,
% 0.13/0.41 (class(X!9, C!6, Ta!3)),
% 0.13/0.41 inference(and_elim,[status(thm)],[9])).
% 0.13/0.41 tff(37,plain,
% 0.13/0.41 (~organization(Y!8, Tc!1)),
% 0.13/0.41 inference(and_elim,[status(thm)],[9])).
% 0.13/0.41 tff(38,plain,
% 0.13/0.41 (^[X: $i, Y: $i, Rt: $i, C: $i, I1: $i, I2: $i, Ta: $i, Tb: $i, Tc: $i] : refl((organization(Y, Tc) | greater(Tb, Tc) | (~organization(X, Ta)) | (~organization(Y, Ta)) | (~class(X, C, Ta)) | (~class(Y, C, Ta)) | (~reorganization(X, Ta, Tb)) | (~reorganization(Y, Ta, Tc)) | (~reorganization_type(X, Rt, Ta)) | (~reorganization_type(Y, Rt, Ta)) | (~inertia(X, I1, Ta)) | (~inertia(Y, I2, Ta)) | (~greater(I2, I1))) <=> (organization(Y, Tc) | greater(Tb, Tc) | (~organization(X, Ta)) | (~organization(Y, Ta)) | (~class(X, C, Ta)) | (~class(Y, C, Ta)) | (~reorganization(X, Ta, Tb)) | (~reorganization(Y, Ta, Tc)) | (~reorganization_type(X, Rt, Ta)) | (~reorganization_type(Y, Rt, Ta)) | (~inertia(X, I1, Ta)) | (~inertia(Y, I2, Ta)) | (~greater(I2, I1))))),
% 0.13/0.41 inference(bind,[status(th)],[])).
% 0.13/0.41 tff(39,plain,
% 0.13/0.41 (![X: $i, Y: $i, Rt: $i, C: $i, I1: $i, I2: $i, Ta: $i, Tb: $i, Tc: $i] : (organization(Y, Tc) | greater(Tb, Tc) | (~organization(X, Ta)) | (~organization(Y, Ta)) | (~class(X, C, Ta)) | (~class(Y, C, Ta)) | (~reorganization(X, Ta, Tb)) | (~reorganization(Y, Ta, Tc)) | (~reorganization_type(X, Rt, Ta)) | (~reorganization_type(Y, Rt, Ta)) | (~inertia(X, I1, Ta)) | (~inertia(Y, I2, Ta)) | (~greater(I2, I1))) <=> ![X: $i, Y: $i, Rt: $i, C: $i, I1: $i, I2: $i, Ta: $i, Tb: $i, Tc: $i] : (organization(Y, Tc) | greater(Tb, Tc) | (~organization(X, Ta)) | (~organization(Y, Ta)) | (~class(X, C, Ta)) | (~class(Y, C, Ta)) | (~reorganization(X, Ta, Tb)) | (~reorganization(Y, Ta, Tc)) | (~reorganization_type(X, Rt, Ta)) | (~reorganization_type(Y, Rt, Ta)) | (~inertia(X, I1, Ta)) | (~inertia(Y, I2, Ta)) | (~greater(I2, I1)))),
% 0.13/0.41 inference(quant_intro,[status(thm)],[38])).
% 0.13/0.41 tff(40,plain,
% 0.13/0.41 (^[X: $i, Y: $i, Rt: $i, C: $i, I1: $i, I2: $i, Ta: $i, Tb: $i, Tc: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta) & reorganization(X, Ta, Tb) & reorganization(Y, Ta, Tc) & reorganization_type(X, Rt, Ta) & reorganization_type(Y, Rt, Ta) & inertia(X, I1, Ta) & inertia(Y, I2, Ta) & greater(I2, I1)) <=> (~(organization(Y, Tc) | (~organization(X, Ta)) | (~organization(Y, Ta)) | (~class(X, C, Ta)) | (~class(Y, C, Ta)) | (~reorganization(X, Ta, Tb)) | (~reorganization(Y, Ta, Tc)) | (~reorganization_type(X, Rt, Ta)) | (~reorganization_type(Y, Rt, Ta)) | (~inertia(X, I1, Ta)) | (~inertia(Y, I2, Ta)) | (~greater(I2, I1))))), ((~(organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta) & reorganization(X, Ta, Tb) & reorganization(Y, Ta, Tc) & reorganization_type(X, Rt, Ta) & reorganization_type(Y, Rt, Ta) & inertia(X, I1, Ta) & inertia(Y, I2, Ta) & greater(I2, I1))) <=> (~(~(organization(Y, Tc) | (~organization(X, Ta)) | (~organization(Y, Ta)) | (~class(X, C, Ta)) | (~class(Y, C, Ta)) | (~reorganization(X, Ta, Tb)) | (~reorganization(Y, Ta, Tc)) | (~reorganization_type(X, Rt, Ta)) | (~reorganization_type(Y, Rt, Ta)) | (~inertia(X, I1, Ta)) | (~inertia(Y, I2, Ta)) | (~greater(I2, I1))))))), rewrite((~(~(organization(Y, Tc) | (~organization(X, Ta)) | (~organization(Y, Ta)) | (~class(X, C, Ta)) | (~class(Y, C, Ta)) | (~reorganization(X, Ta, Tb)) | (~reorganization(Y, Ta, Tc)) | (~reorganization_type(X, Rt, Ta)) | (~reorganization_type(Y, Rt, Ta)) | (~inertia(X, I1, Ta)) | (~inertia(Y, I2, Ta)) | (~greater(I2, I1))))) <=> (organization(Y, Tc) | (~organization(X, Ta)) | (~organization(Y, Ta)) | (~class(X, C, Ta)) | (~class(Y, C, Ta)) | (~reorganization(X, Ta, Tb)) | (~reorganization(Y, Ta, Tc)) | (~reorganization_type(X, Rt, Ta)) | (~reorganization_type(Y, Rt, Ta)) | (~inertia(X, I1, Ta)) | (~inertia(Y, I2, Ta)) | (~greater(I2, I1)))), ((~(organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta) & reorganization(X, Ta, Tb) & reorganization(Y, Ta, Tc) & reorganization_type(X, Rt, Ta) & reorganization_type(Y, Rt, Ta) & inertia(X, I1, Ta) & inertia(Y, I2, Ta) & greater(I2, I1))) <=> (organization(Y, Tc) | (~organization(X, Ta)) | (~organization(Y, Ta)) | (~class(X, C, Ta)) | (~class(Y, C, Ta)) | (~reorganization(X, Ta, Tb)) | (~reorganization(Y, Ta, Tc)) | (~reorganization_type(X, Rt, Ta)) | (~reorganization_type(Y, Rt, Ta)) | (~inertia(X, I1, Ta)) | (~inertia(Y, I2, Ta)) | (~greater(I2, I1))))), (((~(organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta) & reorganization(X, Ta, Tb) & reorganization(Y, Ta, Tc) & reorganization_type(X, Rt, Ta) & reorganization_type(Y, Rt, Ta) & inertia(X, I1, Ta) & inertia(Y, I2, Ta) & greater(I2, I1))) | greater(Tb, Tc)) <=> ((organization(Y, Tc) | (~organization(X, Ta)) | (~organization(Y, Ta)) | (~class(X, C, Ta)) | (~class(Y, C, Ta)) | (~reorganization(X, Ta, Tb)) | (~reorganization(Y, Ta, Tc)) | (~reorganization_type(X, Rt, Ta)) | (~reorganization_type(Y, Rt, Ta)) | (~inertia(X, I1, Ta)) | (~inertia(Y, I2, Ta)) | (~greater(I2, I1))) | greater(Tb, Tc)))), rewrite(((organization(Y, Tc) | (~organization(X, Ta)) | (~organization(Y, Ta)) | (~class(X, C, Ta)) | (~class(Y, C, Ta)) | (~reorganization(X, Ta, Tb)) | (~reorganization(Y, Ta, Tc)) | (~reorganization_type(X, Rt, Ta)) | (~reorganization_type(Y, Rt, Ta)) | (~inertia(X, I1, Ta)) | (~inertia(Y, I2, Ta)) | (~greater(I2, I1))) | greater(Tb, Tc)) <=> (organization(Y, Tc) | greater(Tb, Tc) | (~organization(X, Ta)) | (~organization(Y, Ta)) | (~class(X, C, Ta)) | (~class(Y, C, Ta)) | (~reorganization(X, Ta, Tb)) | (~reorganization(Y, Ta, Tc)) | (~reorganization_type(X, Rt, Ta)) | (~reorganization_type(Y, Rt, Ta)) | (~inertia(X, I1, Ta)) | (~inertia(Y, I2, Ta)) | (~greater(I2, I1)))), (((~(organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta) & reorganization(X, Ta, Tb) & reorganization(Y, Ta, Tc) & reorganization_type(X, Rt, Ta) & reorganization_type(Y, Rt, Ta) & inertia(X, I1, Ta) & inertia(Y, I2, Ta) & greater(I2, I1))) | greater(Tb, Tc)) <=> (organization(Y, Tc) | greater(Tb, Tc) | (~organization(X, Ta)) | (~organization(Y, Ta)) | (~class(X, C, Ta)) | (~class(Y, C, Ta)) | (~reorganization(X, Ta, Tb)) | (~reorganization(Y, Ta, Tc)) | (~reorganization_type(X, Rt, Ta)) | (~reorganization_type(Y, Rt, Ta)) | (~inertia(X, I1, Ta)) | (~inertia(Y, I2, Ta)) | (~greater(I2, I1)))))),
% 0.13/0.41 inference(bind,[status(th)],[])).
% 0.13/0.41 tff(41,plain,
% 0.13/0.41 (![X: $i, Y: $i, Rt: $i, C: $i, I1: $i, I2: $i, Ta: $i, Tb: $i, Tc: $i] : ((~(organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta) & reorganization(X, Ta, Tb) & reorganization(Y, Ta, Tc) & reorganization_type(X, Rt, Ta) & reorganization_type(Y, Rt, Ta) & inertia(X, I1, Ta) & inertia(Y, I2, Ta) & greater(I2, I1))) | greater(Tb, Tc)) <=> ![X: $i, Y: $i, Rt: $i, C: $i, I1: $i, I2: $i, Ta: $i, Tb: $i, Tc: $i] : (organization(Y, Tc) | greater(Tb, Tc) | (~organization(X, Ta)) | (~organization(Y, Ta)) | (~class(X, C, Ta)) | (~class(Y, C, Ta)) | (~reorganization(X, Ta, Tb)) | (~reorganization(Y, Ta, Tc)) | (~reorganization_type(X, Rt, Ta)) | (~reorganization_type(Y, Rt, Ta)) | (~inertia(X, I1, Ta)) | (~inertia(Y, I2, Ta)) | (~greater(I2, I1)))),
% 0.13/0.41 inference(quant_intro,[status(thm)],[40])).
% 0.13/0.41 tff(42,plain,
% 0.13/0.41 (![X: $i, Y: $i, Rt: $i, C: $i, I1: $i, I2: $i, Ta: $i, Tb: $i, Tc: $i] : ((~(organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta) & reorganization(X, Ta, Tb) & reorganization(Y, Ta, Tc) & reorganization_type(X, Rt, Ta) & reorganization_type(Y, Rt, Ta) & inertia(X, I1, Ta) & inertia(Y, I2, Ta) & greater(I2, I1))) | greater(Tb, Tc)) <=> ![X: $i, Y: $i, Rt: $i, C: $i, I1: $i, I2: $i, Ta: $i, Tb: $i, Tc: $i] : ((~(organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta) & reorganization(X, Ta, Tb) & reorganization(Y, Ta, Tc) & reorganization_type(X, Rt, Ta) & reorganization_type(Y, Rt, Ta) & inertia(X, I1, Ta) & inertia(Y, I2, Ta) & greater(I2, I1))) | greater(Tb, Tc))),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(43,plain,
% 0.13/0.41 (^[X: $i, Y: $i, Rt: $i, C: $i, I1: $i, I2: $i, Ta: $i, Tb: $i, Tc: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((organization(X, Ta) & organization(Y, Ta)) & (~organization(Y, Tc))) <=> (organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)))), ((((organization(X, Ta) & organization(Y, Ta)) & (~organization(Y, Tc))) & class(X, C, Ta)) <=> ((organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc))) & class(X, C, Ta)))), rewrite(((organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc))) & class(X, C, Ta)) <=> (organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta))), ((((organization(X, Ta) & organization(Y, Ta)) & (~organization(Y, Tc))) & class(X, C, Ta)) <=> (organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta)))), (((((organization(X, Ta) & organization(Y, Ta)) & (~organization(Y, Tc))) & class(X, C, Ta)) & class(Y, C, Ta)) <=> ((organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta)) & class(Y, C, Ta)))), rewrite(((organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta)) & class(Y, C, Ta)) <=> (organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta))), (((((organization(X, Ta) & organization(Y, Ta)) & (~organization(Y, Tc))) & class(X, C, Ta)) & class(Y, C, Ta)) <=> (organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta)))), ((((((organization(X, Ta) & organization(Y, Ta)) & (~organization(Y, Tc))) & class(X, C, Ta)) & class(Y, C, Ta)) & reorganization(X, Ta, Tb)) <=> ((organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta)) & reorganization(X, Ta, Tb)))), rewrite(((organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta)) & reorganization(X, Ta, Tb)) <=> (organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta) & reorganization(X, Ta, Tb))), ((((((organization(X, Ta) & organization(Y, Ta)) & (~organization(Y, Tc))) & class(X, C, Ta)) & class(Y, C, Ta)) & reorganization(X, Ta, Tb)) <=> (organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta) & reorganization(X, Ta, Tb)))), (((((((organization(X, Ta) & organization(Y, Ta)) & (~organization(Y, Tc))) & class(X, C, Ta)) & class(Y, C, Ta)) & reorganization(X, Ta, Tb)) & reorganization(Y, Ta, Tc)) <=> ((organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta) & reorganization(X, Ta, Tb)) & reorganization(Y, Ta, Tc)))), rewrite(((organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta) & reorganization(X, Ta, Tb)) & reorganization(Y, Ta, Tc)) <=> (organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta) & reorganization(X, Ta, Tb) & reorganization(Y, Ta, Tc))), (((((((organization(X, Ta) & organization(Y, Ta)) & (~organization(Y, Tc))) & class(X, C, Ta)) & class(Y, C, Ta)) & reorganization(X, Ta, Tb)) & reorganization(Y, Ta, Tc)) <=> (organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta) & reorganization(X, Ta, Tb) & reorganization(Y, Ta, Tc)))), ((((((((organization(X, Ta) & organization(Y, Ta)) & (~organization(Y, Tc))) & class(X, C, Ta)) & class(Y, C, Ta)) & reorganization(X, Ta, Tb)) & reorganization(Y, Ta, Tc)) & reorganization_type(X, Rt, Ta)) <=> ((organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta) & reorganization(X, Ta, Tb) & reorganization(Y, Ta, Tc)) & reorganization_type(X, Rt, Ta)))), rewrite(((organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta) & reorganization(X, Ta, Tb) & reorganization(Y, Ta, Tc)) & reorganization_type(X, Rt, Ta)) <=> (organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta) & reorganization(X, Ta, Tb) & reorganization(Y, Ta, Tc) & reorganization_type(X, Rt, Ta))), ((((((((organization(X, Ta) & organization(Y, Ta)) & (~organization(Y, Tc))) & class(X, C, Ta)) & class(Y, C, Ta)) & reorganization(X, Ta, Tb)) & reorganization(Y, Ta, Tc)) & reorganization_type(X, Rt, Ta)) <=> (organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta) & reorganization(X, Ta, Tb) & reorganization(Y, Ta, Tc) & reorganization_type(X, Rt, Ta)))), (((((((((organization(X, Ta) & organization(Y, Ta)) & (~organization(Y, Tc))) & class(X, C, Ta)) & class(Y, C, Ta)) & reorganization(X, Ta, Tb)) & reorganization(Y, Ta, Tc)) & reorganization_type(X, Rt, Ta)) & reorganization_type(Y, Rt, Ta)) <=> ((organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta) & reorganization(X, Ta, Tb) & reorganization(Y, Ta, Tc) & reorganization_type(X, Rt, Ta)) & reorganization_type(Y, Rt, Ta)))), rewrite(((organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta) & reorganization(X, Ta, Tb) & reorganization(Y, Ta, Tc) & reorganization_type(X, Rt, Ta)) & reorganization_type(Y, Rt, Ta)) <=> (organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta) & reorganization(X, Ta, Tb) & reorganization(Y, Ta, Tc) & reorganization_type(X, Rt, Ta) & reorganization_type(Y, Rt, Ta))), (((((((((organization(X, Ta) & organization(Y, Ta)) & (~organization(Y, Tc))) & class(X, C, Ta)) & class(Y, C, Ta)) & reorganization(X, Ta, Tb)) & reorganization(Y, Ta, Tc)) & reorganization_type(X, Rt, Ta)) & reorganization_type(Y, Rt, Ta)) <=> (organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta) & reorganization(X, Ta, Tb) & reorganization(Y, Ta, Tc) & reorganization_type(X, Rt, Ta) & reorganization_type(Y, Rt, Ta)))), ((((((((((organization(X, Ta) & organization(Y, Ta)) & (~organization(Y, Tc))) & class(X, C, Ta)) & class(Y, C, Ta)) & reorganization(X, Ta, Tb)) & reorganization(Y, Ta, Tc)) & reorganization_type(X, Rt, Ta)) & reorganization_type(Y, Rt, Ta)) & inertia(X, I1, Ta)) <=> ((organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta) & reorganization(X, Ta, Tb) & reorganization(Y, Ta, Tc) & reorganization_type(X, Rt, Ta) & reorganization_type(Y, Rt, Ta)) & inertia(X, I1, Ta)))), rewrite(((organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta) & reorganization(X, Ta, Tb) & reorganization(Y, Ta, Tc) & reorganization_type(X, Rt, Ta) & reorganization_type(Y, Rt, Ta)) & inertia(X, I1, Ta)) <=> (organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta) & reorganization(X, Ta, Tb) & reorganization(Y, Ta, Tc) & reorganization_type(X, Rt, Ta) & reorganization_type(Y, Rt, Ta) & inertia(X, I1, Ta))), ((((((((((organization(X, Ta) & organization(Y, Ta)) & (~organization(Y, Tc))) & class(X, C, Ta)) & class(Y, C, Ta)) & reorganization(X, Ta, Tb)) & reorganization(Y, Ta, Tc)) & reorganization_type(X, Rt, Ta)) & reorganization_type(Y, Rt, Ta)) & inertia(X, I1, Ta)) <=> (organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta) & reorganization(X, Ta, Tb) & reorganization(Y, Ta, Tc) & reorganization_type(X, Rt, Ta) & reorganization_type(Y, Rt, Ta) & inertia(X, I1, Ta)))), (((((((((((organization(X, Ta) & organization(Y, Ta)) & (~organization(Y, Tc))) & class(X, C, Ta)) & class(Y, C, Ta)) & reorganization(X, Ta, Tb)) & reorganization(Y, Ta, Tc)) & reorganization_type(X, Rt, Ta)) & reorganization_type(Y, Rt, Ta)) & inertia(X, I1, Ta)) & inertia(Y, I2, Ta)) <=> ((organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta) & reorganization(X, Ta, Tb) & reorganization(Y, Ta, Tc) & reorganization_type(X, Rt, Ta) & reorganization_type(Y, Rt, Ta) & inertia(X, I1, Ta)) & inertia(Y, I2, Ta)))), rewrite(((organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta) & reorganization(X, Ta, Tb) & reorganization(Y, Ta, Tc) & reorganization_type(X, Rt, Ta) & reorganization_type(Y, Rt, Ta) & inertia(X, I1, Ta)) & inertia(Y, I2, Ta)) <=> (organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta) & reorganization(X, Ta, Tb) & reorganization(Y, Ta, Tc) & reorganization_type(X, Rt, Ta) & reorganization_type(Y, Rt, Ta) & inertia(X, I1, Ta) & inertia(Y, I2, Ta))), (((((((((((organization(X, Ta) & organization(Y, Ta)) & (~organization(Y, Tc))) & class(X, C, Ta)) & class(Y, C, Ta)) & reorganization(X, Ta, Tb)) & reorganization(Y, Ta, Tc)) & reorganization_type(X, Rt, Ta)) & reorganization_type(Y, Rt, Ta)) & inertia(X, I1, Ta)) & inertia(Y, I2, Ta)) <=> (organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta) & reorganization(X, Ta, Tb) & reorganization(Y, Ta, Tc) & reorganization_type(X, Rt, Ta) & reorganization_type(Y, Rt, Ta) & inertia(X, I1, Ta) & inertia(Y, I2, Ta)))), ((((((((((((organization(X, Ta) & organization(Y, Ta)) & (~organization(Y, Tc))) & class(X, C, Ta)) & class(Y, C, Ta)) & reorganization(X, Ta, Tb)) & reorganization(Y, Ta, Tc)) & reorganization_type(X, Rt, Ta)) & reorganization_type(Y, Rt, Ta)) & inertia(X, I1, Ta)) & inertia(Y, I2, Ta)) & greater(I2, I1)) <=> ((organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta) & reorganization(X, Ta, Tb) & reorganization(Y, Ta, Tc) & reorganization_type(X, Rt, Ta) & reorganization_type(Y, Rt, Ta) & inertia(X, I1, Ta) & inertia(Y, I2, Ta)) & greater(I2, I1)))), rewrite(((organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta) & reorganization(X, Ta, Tb) & reorganization(Y, Ta, Tc) & reorganization_type(X, Rt, Ta) & reorganization_type(Y, Rt, Ta) & inertia(X, I1, Ta) & inertia(Y, I2, Ta)) & greater(I2, I1)) <=> (organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta) & reorganization(X, Ta, Tb) & reorganization(Y, Ta, Tc) & reorganization_type(X, Rt, Ta) & reorganization_type(Y, Rt, Ta) & inertia(X, I1, Ta) & inertia(Y, I2, Ta) & greater(I2, I1))), ((((((((((((organization(X, Ta) & organization(Y, Ta)) & (~organization(Y, Tc))) & class(X, C, Ta)) & class(Y, C, Ta)) & reorganization(X, Ta, Tb)) & reorganization(Y, Ta, Tc)) & reorganization_type(X, Rt, Ta)) & reorganization_type(Y, Rt, Ta)) & inertia(X, I1, Ta)) & inertia(Y, I2, Ta)) & greater(I2, I1)) <=> (organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta) & reorganization(X, Ta, Tb) & reorganization(Y, Ta, Tc) & reorganization_type(X, Rt, Ta) & reorganization_type(Y, Rt, Ta) & inertia(X, I1, Ta) & inertia(Y, I2, Ta) & greater(I2, I1)))), (((((((((((((organization(X, Ta) & organization(Y, Ta)) & (~organization(Y, Tc))) & class(X, C, Ta)) & class(Y, C, Ta)) & reorganization(X, Ta, Tb)) & reorganization(Y, Ta, Tc)) & reorganization_type(X, Rt, Ta)) & reorganization_type(Y, Rt, Ta)) & inertia(X, I1, Ta)) & inertia(Y, I2, Ta)) & greater(I2, I1)) => greater(Tb, Tc)) <=> ((organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta) & reorganization(X, Ta, Tb) & reorganization(Y, Ta, Tc) & reorganization_type(X, Rt, Ta) & reorganization_type(Y, Rt, Ta) & inertia(X, I1, Ta) & inertia(Y, I2, Ta) & greater(I2, I1)) => greater(Tb, Tc)))), rewrite(((organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta) & reorganization(X, Ta, Tb) & reorganization(Y, Ta, Tc) & reorganization_type(X, Rt, Ta) & reorganization_type(Y, Rt, Ta) & inertia(X, I1, Ta) & inertia(Y, I2, Ta) & greater(I2, I1)) => greater(Tb, Tc)) <=> ((~(organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta) & reorganization(X, Ta, Tb) & reorganization(Y, Ta, Tc) & reorganization_type(X, Rt, Ta) & reorganization_type(Y, Rt, Ta) & inertia(X, I1, Ta) & inertia(Y, I2, Ta) & greater(I2, I1))) | greater(Tb, Tc))), (((((((((((((organization(X, Ta) & organization(Y, Ta)) & (~organization(Y, Tc))) & class(X, C, Ta)) & class(Y, C, Ta)) & reorganization(X, Ta, Tb)) & reorganization(Y, Ta, Tc)) & reorganization_type(X, Rt, Ta)) & reorganization_type(Y, Rt, Ta)) & inertia(X, I1, Ta)) & inertia(Y, I2, Ta)) & greater(I2, I1)) => greater(Tb, Tc)) <=> ((~(organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta) & reorganization(X, Ta, Tb) & reorganization(Y, Ta, Tc) & reorganization_type(X, Rt, Ta) & reorganization_type(Y, Rt, Ta) & inertia(X, I1, Ta) & inertia(Y, I2, Ta) & greater(I2, I1))) | greater(Tb, Tc))))),
% 0.13/0.42 inference(bind,[status(th)],[])).
% 0.13/0.42 tff(44,plain,
% 0.13/0.42 (![X: $i, Y: $i, Rt: $i, C: $i, I1: $i, I2: $i, Ta: $i, Tb: $i, Tc: $i] : ((((((((((((organization(X, Ta) & organization(Y, Ta)) & (~organization(Y, Tc))) & class(X, C, Ta)) & class(Y, C, Ta)) & reorganization(X, Ta, Tb)) & reorganization(Y, Ta, Tc)) & reorganization_type(X, Rt, Ta)) & reorganization_type(Y, Rt, Ta)) & inertia(X, I1, Ta)) & inertia(Y, I2, Ta)) & greater(I2, I1)) => greater(Tb, Tc)) <=> ![X: $i, Y: $i, Rt: $i, C: $i, I1: $i, I2: $i, Ta: $i, Tb: $i, Tc: $i] : ((~(organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta) & reorganization(X, Ta, Tb) & reorganization(Y, Ta, Tc) & reorganization_type(X, Rt, Ta) & reorganization_type(Y, Rt, Ta) & inertia(X, I1, Ta) & inertia(Y, I2, Ta) & greater(I2, I1))) | greater(Tb, Tc))),
% 0.13/0.42 inference(quant_intro,[status(thm)],[43])).
% 0.13/0.42 tff(45,axiom,(![X: $i, Y: $i, Rt: $i, C: $i, I1: $i, I2: $i, Ta: $i, Tb: $i, Tc: $i] : ((((((((((((organization(X, Ta) & organization(Y, Ta)) & (~organization(Y, Tc))) & class(X, C, Ta)) & class(Y, C, Ta)) & reorganization(X, Ta, Tb)) & reorganization(Y, Ta, Tc)) & reorganization_type(X, Rt, Ta)) & reorganization_type(Y, Rt, Ta)) & inertia(X, I1, Ta)) & inertia(Y, I2, Ta)) & greater(I2, I1)) => greater(Tb, Tc))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','a14_FOL')).
% 0.13/0.42 tff(46,plain,
% 0.13/0.42 (![X: $i, Y: $i, Rt: $i, C: $i, I1: $i, I2: $i, Ta: $i, Tb: $i, Tc: $i] : ((~(organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta) & reorganization(X, Ta, Tb) & reorganization(Y, Ta, Tc) & reorganization_type(X, Rt, Ta) & reorganization_type(Y, Rt, Ta) & inertia(X, I1, Ta) & inertia(Y, I2, Ta) & greater(I2, I1))) | greater(Tb, Tc))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[45, 44])).
% 0.13/0.42 tff(47,plain,
% 0.13/0.42 (![X: $i, Y: $i, Rt: $i, C: $i, I1: $i, I2: $i, Ta: $i, Tb: $i, Tc: $i] : ((~(organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta) & reorganization(X, Ta, Tb) & reorganization(Y, Ta, Tc) & reorganization_type(X, Rt, Ta) & reorganization_type(Y, Rt, Ta) & inertia(X, I1, Ta) & inertia(Y, I2, Ta) & greater(I2, I1))) | greater(Tb, Tc))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[46, 42])).
% 0.13/0.42 tff(48,plain,(
% 0.13/0.42 ![X: $i, Y: $i, Rt: $i, C: $i, I1: $i, I2: $i, Ta: $i, Tb: $i, Tc: $i] : ((~(organization(X, Ta) & organization(Y, Ta) & (~organization(Y, Tc)) & class(X, C, Ta) & class(Y, C, Ta) & reorganization(X, Ta, Tb) & reorganization(Y, Ta, Tc) & reorganization_type(X, Rt, Ta) & reorganization_type(Y, Rt, Ta) & inertia(X, I1, Ta) & inertia(Y, I2, Ta) & greater(I2, I1))) | greater(Tb, Tc))),
% 0.13/0.42 inference(skolemize,[status(sab)],[47])).
% 0.13/0.42 tff(49,plain,
% 0.13/0.42 (![X: $i, Y: $i, Rt: $i, C: $i, I1: $i, I2: $i, Ta: $i, Tb: $i, Tc: $i] : (organization(Y, Tc) | greater(Tb, Tc) | (~organization(X, Ta)) | (~organization(Y, Ta)) | (~class(X, C, Ta)) | (~class(Y, C, Ta)) | (~reorganization(X, Ta, Tb)) | (~reorganization(Y, Ta, Tc)) | (~reorganization_type(X, Rt, Ta)) | (~reorganization_type(Y, Rt, Ta)) | (~inertia(X, I1, Ta)) | (~inertia(Y, I2, Ta)) | (~greater(I2, I1)))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[48, 41])).
% 0.13/0.42 tff(50,plain,
% 0.13/0.42 (![X: $i, Y: $i, Rt: $i, C: $i, I1: $i, I2: $i, Ta: $i, Tb: $i, Tc: $i] : (organization(Y, Tc) | greater(Tb, Tc) | (~organization(X, Ta)) | (~organization(Y, Ta)) | (~class(X, C, Ta)) | (~class(Y, C, Ta)) | (~reorganization(X, Ta, Tb)) | (~reorganization(Y, Ta, Tc)) | (~reorganization_type(X, Rt, Ta)) | (~reorganization_type(Y, Rt, Ta)) | (~inertia(X, I1, Ta)) | (~inertia(Y, I2, Ta)) | (~greater(I2, I1)))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[49, 39])).
% 0.13/0.42 tff(51,plain,
% 0.13/0.42 (((~![X: $i, Y: $i, Rt: $i, C: $i, I1: $i, I2: $i, Ta: $i, Tb: $i, Tc: $i] : (organization(Y, Tc) | greater(Tb, Tc) | (~organization(X, Ta)) | (~organization(Y, Ta)) | (~class(X, C, Ta)) | (~class(Y, C, Ta)) | (~reorganization(X, Ta, Tb)) | (~reorganization(Y, Ta, Tc)) | (~reorganization_type(X, Rt, Ta)) | (~reorganization_type(Y, Rt, Ta)) | (~inertia(X, I1, Ta)) | (~inertia(Y, I2, Ta)) | (~greater(I2, I1)))) | (organization(Y!8, Tc!1) | greater(Tb!2, Tc!1) | (~organization(X!9, Ta!3)) | (~organization(Y!8, Ta!3)) | (~class(X!9, C!6, Ta!3)) | (~reorganization(X!9, Ta!3, Tb!2)) | (~reorganization_type(X!9, Rt!7, Ta!3)) | (~inertia(X!9, tptp_fun_I_0(Ta!3, X!9), Ta!3)) | (~class(Y!8, C!6, Ta!3)) | (~reorganization(Y!8, Ta!3, Tc!1)) | (~reorganization_type(Y!8, Rt!7, Ta!3)) | (~inertia(Y!8, tptp_fun_I_0(Ta!3, Y!8), Ta!3)) | (~greater(tptp_fun_I_0(Ta!3, Y!8), tptp_fun_I_0(Ta!3, X!9))))) <=> ((~![X: $i, Y: $i, Rt: $i, C: $i, I1: $i, I2: $i, Ta: $i, Tb: $i, Tc: $i] : (organization(Y, Tc) | greater(Tb, Tc) | (~organization(X, Ta)) | (~organization(Y, Ta)) | (~class(X, C, Ta)) | (~class(Y, C, Ta)) | (~reorganization(X, Ta, Tb)) | (~reorganization(Y, Ta, Tc)) | (~reorganization_type(X, Rt, Ta)) | (~reorganization_type(Y, Rt, Ta)) | (~inertia(X, I1, Ta)) | (~inertia(Y, I2, Ta)) | (~greater(I2, I1)))) | organization(Y!8, Tc!1) | greater(Tb!2, Tc!1) | (~organization(X!9, Ta!3)) | (~organization(Y!8, Ta!3)) | (~class(X!9, C!6, Ta!3)) | (~reorganization(X!9, Ta!3, Tb!2)) | (~reorganization_type(X!9, Rt!7, Ta!3)) | (~inertia(X!9, tptp_fun_I_0(Ta!3, X!9), Ta!3)) | (~class(Y!8, C!6, Ta!3)) | (~reorganization(Y!8, Ta!3, Tc!1)) | (~reorganization_type(Y!8, Rt!7, Ta!3)) | (~inertia(Y!8, tptp_fun_I_0(Ta!3, Y!8), Ta!3)) | (~greater(tptp_fun_I_0(Ta!3, Y!8), tptp_fun_I_0(Ta!3, X!9))))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(52,plain,
% 0.13/0.42 ((organization(Y!8, Tc!1) | greater(Tb!2, Tc!1) | (~organization(X!9, Ta!3)) | (~organization(Y!8, Ta!3)) | (~class(X!9, C!6, Ta!3)) | (~class(Y!8, C!6, Ta!3)) | (~reorganization(X!9, Ta!3, Tb!2)) | (~reorganization(Y!8, Ta!3, Tc!1)) | (~reorganization_type(X!9, Rt!7, Ta!3)) | (~reorganization_type(Y!8, Rt!7, Ta!3)) | (~inertia(X!9, tptp_fun_I_0(Ta!3, X!9), Ta!3)) | (~inertia(Y!8, tptp_fun_I_0(Ta!3, Y!8), Ta!3)) | (~greater(tptp_fun_I_0(Ta!3, Y!8), tptp_fun_I_0(Ta!3, X!9)))) <=> (organization(Y!8, Tc!1) | greater(Tb!2, Tc!1) | (~organization(X!9, Ta!3)) | (~organization(Y!8, Ta!3)) | (~class(X!9, C!6, Ta!3)) | (~reorganization(X!9, Ta!3, Tb!2)) | (~reorganization_type(X!9, Rt!7, Ta!3)) | (~inertia(X!9, tptp_fun_I_0(Ta!3, X!9), Ta!3)) | (~class(Y!8, C!6, Ta!3)) | (~reorganization(Y!8, Ta!3, Tc!1)) | (~reorganization_type(Y!8, Rt!7, Ta!3)) | (~inertia(Y!8, tptp_fun_I_0(Ta!3, Y!8), Ta!3)) | (~greater(tptp_fun_I_0(Ta!3, Y!8), tptp_fun_I_0(Ta!3, X!9))))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(53,plain,
% 0.13/0.42 (((~![X: $i, Y: $i, Rt: $i, C: $i, I1: $i, I2: $i, Ta: $i, Tb: $i, Tc: $i] : (organization(Y, Tc) | greater(Tb, Tc) | (~organization(X, Ta)) | (~organization(Y, Ta)) | (~class(X, C, Ta)) | (~class(Y, C, Ta)) | (~reorganization(X, Ta, Tb)) | (~reorganization(Y, Ta, Tc)) | (~reorganization_type(X, Rt, Ta)) | (~reorganization_type(Y, Rt, Ta)) | (~inertia(X, I1, Ta)) | (~inertia(Y, I2, Ta)) | (~greater(I2, I1)))) | (organization(Y!8, Tc!1) | greater(Tb!2, Tc!1) | (~organization(X!9, Ta!3)) | (~organization(Y!8, Ta!3)) | (~class(X!9, C!6, Ta!3)) | (~class(Y!8, C!6, Ta!3)) | (~reorganization(X!9, Ta!3, Tb!2)) | (~reorganization(Y!8, Ta!3, Tc!1)) | (~reorganization_type(X!9, Rt!7, Ta!3)) | (~reorganization_type(Y!8, Rt!7, Ta!3)) | (~inertia(X!9, tptp_fun_I_0(Ta!3, X!9), Ta!3)) | (~inertia(Y!8, tptp_fun_I_0(Ta!3, Y!8), Ta!3)) | (~greater(tptp_fun_I_0(Ta!3, Y!8), tptp_fun_I_0(Ta!3, X!9))))) <=> ((~![X: $i, Y: $i, Rt: $i, C: $i, I1: $i, I2: $i, Ta: $i, Tb: $i, Tc: $i] : (organization(Y, Tc) | greater(Tb, Tc) | (~organization(X, Ta)) | (~organization(Y, Ta)) | (~class(X, C, Ta)) | (~class(Y, C, Ta)) | (~reorganization(X, Ta, Tb)) | (~reorganization(Y, Ta, Tc)) | (~reorganization_type(X, Rt, Ta)) | (~reorganization_type(Y, Rt, Ta)) | (~inertia(X, I1, Ta)) | (~inertia(Y, I2, Ta)) | (~greater(I2, I1)))) | (organization(Y!8, Tc!1) | greater(Tb!2, Tc!1) | (~organization(X!9, Ta!3)) | (~organization(Y!8, Ta!3)) | (~class(X!9, C!6, Ta!3)) | (~reorganization(X!9, Ta!3, Tb!2)) | (~reorganization_type(X!9, Rt!7, Ta!3)) | (~inertia(X!9, tptp_fun_I_0(Ta!3, X!9), Ta!3)) | (~class(Y!8, C!6, Ta!3)) | (~reorganization(Y!8, Ta!3, Tc!1)) | (~reorganization_type(Y!8, Rt!7, Ta!3)) | (~inertia(Y!8, tptp_fun_I_0(Ta!3, Y!8), Ta!3)) | (~greater(tptp_fun_I_0(Ta!3, Y!8), tptp_fun_I_0(Ta!3, X!9)))))),
% 0.13/0.42 inference(monotonicity,[status(thm)],[52])).
% 0.13/0.42 tff(54,plain,
% 0.13/0.42 (((~![X: $i, Y: $i, Rt: $i, C: $i, I1: $i, I2: $i, Ta: $i, Tb: $i, Tc: $i] : (organization(Y, Tc) | greater(Tb, Tc) | (~organization(X, Ta)) | (~organization(Y, Ta)) | (~class(X, C, Ta)) | (~class(Y, C, Ta)) | (~reorganization(X, Ta, Tb)) | (~reorganization(Y, Ta, Tc)) | (~reorganization_type(X, Rt, Ta)) | (~reorganization_type(Y, Rt, Ta)) | (~inertia(X, I1, Ta)) | (~inertia(Y, I2, Ta)) | (~greater(I2, I1)))) | (organization(Y!8, Tc!1) | greater(Tb!2, Tc!1) | (~organization(X!9, Ta!3)) | (~organization(Y!8, Ta!3)) | (~class(X!9, C!6, Ta!3)) | (~class(Y!8, C!6, Ta!3)) | (~reorganization(X!9, Ta!3, Tb!2)) | (~reorganization(Y!8, Ta!3, Tc!1)) | (~reorganization_type(X!9, Rt!7, Ta!3)) | (~reorganization_type(Y!8, Rt!7, Ta!3)) | (~inertia(X!9, tptp_fun_I_0(Ta!3, X!9), Ta!3)) | (~inertia(Y!8, tptp_fun_I_0(Ta!3, Y!8), Ta!3)) | (~greater(tptp_fun_I_0(Ta!3, Y!8), tptp_fun_I_0(Ta!3, X!9))))) <=> ((~![X: $i, Y: $i, Rt: $i, C: $i, I1: $i, I2: $i, Ta: $i, Tb: $i, Tc: $i] : (organization(Y, Tc) | greater(Tb, Tc) | (~organization(X, Ta)) | (~organization(Y, Ta)) | (~class(X, C, Ta)) | (~class(Y, C, Ta)) | (~reorganization(X, Ta, Tb)) | (~reorganization(Y, Ta, Tc)) | (~reorganization_type(X, Rt, Ta)) | (~reorganization_type(Y, Rt, Ta)) | (~inertia(X, I1, Ta)) | (~inertia(Y, I2, Ta)) | (~greater(I2, I1)))) | organization(Y!8, Tc!1) | greater(Tb!2, Tc!1) | (~organization(X!9, Ta!3)) | (~organization(Y!8, Ta!3)) | (~class(X!9, C!6, Ta!3)) | (~reorganization(X!9, Ta!3, Tb!2)) | (~reorganization_type(X!9, Rt!7, Ta!3)) | (~inertia(X!9, tptp_fun_I_0(Ta!3, X!9), Ta!3)) | (~class(Y!8, C!6, Ta!3)) | (~reorganization(Y!8, Ta!3, Tc!1)) | (~reorganization_type(Y!8, Rt!7, Ta!3)) | (~inertia(Y!8, tptp_fun_I_0(Ta!3, Y!8), Ta!3)) | (~greater(tptp_fun_I_0(Ta!3, Y!8), tptp_fun_I_0(Ta!3, X!9))))),
% 0.13/0.42 inference(transitivity,[status(thm)],[53, 51])).
% 0.13/0.42 tff(55,plain,
% 0.13/0.42 ((~![X: $i, Y: $i, Rt: $i, C: $i, I1: $i, I2: $i, Ta: $i, Tb: $i, Tc: $i] : (organization(Y, Tc) | greater(Tb, Tc) | (~organization(X, Ta)) | (~organization(Y, Ta)) | (~class(X, C, Ta)) | (~class(Y, C, Ta)) | (~reorganization(X, Ta, Tb)) | (~reorganization(Y, Ta, Tc)) | (~reorganization_type(X, Rt, Ta)) | (~reorganization_type(Y, Rt, Ta)) | (~inertia(X, I1, Ta)) | (~inertia(Y, I2, Ta)) | (~greater(I2, I1)))) | (organization(Y!8, Tc!1) | greater(Tb!2, Tc!1) | (~organization(X!9, Ta!3)) | (~organization(Y!8, Ta!3)) | (~class(X!9, C!6, Ta!3)) | (~class(Y!8, C!6, Ta!3)) | (~reorganization(X!9, Ta!3, Tb!2)) | (~reorganization(Y!8, Ta!3, Tc!1)) | (~reorganization_type(X!9, Rt!7, Ta!3)) | (~reorganization_type(Y!8, Rt!7, Ta!3)) | (~inertia(X!9, tptp_fun_I_0(Ta!3, X!9), Ta!3)) | (~inertia(Y!8, tptp_fun_I_0(Ta!3, Y!8), Ta!3)) | (~greater(tptp_fun_I_0(Ta!3, Y!8), tptp_fun_I_0(Ta!3, X!9))))),
% 0.13/0.42 inference(quant_inst,[status(thm)],[])).
% 0.13/0.42 tff(56,plain,
% 0.13/0.42 ((~![X: $i, Y: $i, Rt: $i, C: $i, I1: $i, I2: $i, Ta: $i, Tb: $i, Tc: $i] : (organization(Y, Tc) | greater(Tb, Tc) | (~organization(X, Ta)) | (~organization(Y, Ta)) | (~class(X, C, Ta)) | (~class(Y, C, Ta)) | (~reorganization(X, Ta, Tb)) | (~reorganization(Y, Ta, Tc)) | (~reorganization_type(X, Rt, Ta)) | (~reorganization_type(Y, Rt, Ta)) | (~inertia(X, I1, Ta)) | (~inertia(Y, I2, Ta)) | (~greater(I2, I1)))) | organization(Y!8, Tc!1) | greater(Tb!2, Tc!1) | (~organization(X!9, Ta!3)) | (~organization(Y!8, Ta!3)) | (~class(X!9, C!6, Ta!3)) | (~reorganization(X!9, Ta!3, Tb!2)) | (~reorganization_type(X!9, Rt!7, Ta!3)) | (~inertia(X!9, tptp_fun_I_0(Ta!3, X!9), Ta!3)) | (~class(Y!8, C!6, Ta!3)) | (~reorganization(Y!8, Ta!3, Tc!1)) | (~reorganization_type(Y!8, Rt!7, Ta!3)) | (~inertia(Y!8, tptp_fun_I_0(Ta!3, Y!8), Ta!3)) | (~greater(tptp_fun_I_0(Ta!3, Y!8), tptp_fun_I_0(Ta!3, X!9)))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[55, 54])).
% 0.13/0.42 tff(57,plain,
% 0.13/0.42 (~greater(tptp_fun_I_0(Ta!3, Y!8), tptp_fun_I_0(Ta!3, X!9))),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[56, 50, 25, 10, 37, 36, 35, 34, 33, 32, 31, 30, 29, 24])).
% 0.13/0.42 tff(58,plain,
% 0.13/0.42 (greater(C2!4, C1!5)),
% 0.13/0.42 inference(and_elim,[status(thm)],[9])).
% 0.13/0.42 tff(59,plain,
% 0.13/0.42 (complexity(Y!8, C2!4, Ta!3)),
% 0.13/0.42 inference(and_elim,[status(thm)],[9])).
% 0.13/0.42 tff(60,plain,
% 0.13/0.42 (complexity(X!9, C1!5, Ta!3)),
% 0.13/0.42 inference(and_elim,[status(thm)],[9])).
% 0.13/0.42 tff(61,plain,
% 0.13/0.42 (^[X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : refl((greater(I2, I1) | (~organization(Y, T2)) | (~organization(X, T1)) | (~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(Y, T2)) | (~organization(X, T1)) | (~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))))),
% 0.13/0.43 inference(bind,[status(th)],[])).
% 0.13/0.43 tff(62,plain,
% 0.13/0.43 (![X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~organization(Y, T2)) | (~organization(X, T1)) | (~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(Y, T2)) | (~organization(X, T1)) | (~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)))),
% 0.13/0.43 inference(quant_intro,[status(thm)],[61])).
% 0.13/0.43 tff(63,plain,
% 0.13/0.43 (^[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(Y, T2)) | (~organization(X, T1)) | (~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(Y, T2)) | (~organization(X, T1)) | (~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(Y, T2)) | (~organization(X, T1)) | (~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(Y, T2)) | (~organization(X, T1)) | (~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(Y, T2)) | (~organization(X, T1)) | (~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(Y, T2)) | (~organization(X, T1)) | (~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(Y, T2)) | (~organization(X, T1)) | (~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(Y, T2)) | (~organization(X, T1)) | (~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(Y, T2)) | (~organization(X, T1)) | (~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)))))),
% 0.13/0.43 inference(bind,[status(th)],[])).
% 0.13/0.43 tff(64,plain,
% 0.13/0.43 (![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(Y, T2)) | (~organization(X, T1)) | (~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)))),
% 0.13/0.43 inference(quant_intro,[status(thm)],[63])).
% 0.13/0.43 tff(65,plain,
% 0.13/0.43 (![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))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(66,plain,
% 0.13/0.43 (^[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))))),
% 0.13/0.43 inference(bind,[status(th)],[])).
% 0.13/0.43 tff(67,plain,
% 0.13/0.43 (![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))),
% 0.13/0.43 inference(quant_intro,[status(thm)],[66])).
% 0.13/0.43 tff(68,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')).
% 0.13/0.43 tff(69,plain,
% 0.13/0.43 (![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))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[68, 67])).
% 0.13/0.43 tff(70,plain,
% 0.13/0.43 (![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))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[69, 65])).
% 0.13/0.43 tff(71,plain,(
% 0.13/0.43 ![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))),
% 0.13/0.43 inference(skolemize,[status(sab)],[70])).
% 0.13/0.43 tff(72,plain,
% 0.13/0.43 (![X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~organization(Y, T2)) | (~organization(X, T1)) | (~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)))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[71, 64])).
% 0.13/0.43 tff(73,plain,
% 0.13/0.43 (![X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~organization(Y, T2)) | (~organization(X, T1)) | (~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)))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[72, 62])).
% 0.13/0.43 tff(74,plain,
% 0.13/0.43 (((~![X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~organization(Y, T2)) | (~organization(X, T1)) | (~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!9, Ta!3)) | (~organization(Y!8, Ta!3)) | (~class(X!9, C!6, Ta!3)) | (~inertia(X!9, tptp_fun_I_0(Ta!3, X!9), Ta!3)) | (~class(Y!8, C!6, Ta!3)) | (~inertia(Y!8, tptp_fun_I_0(Ta!3, Y!8), Ta!3)) | greater(tptp_fun_I_0(Ta!3, Y!8), tptp_fun_I_0(Ta!3, X!9)) | (~complexity(X!9, C1!5, Ta!3)) | (~complexity(Y!8, C2!4, Ta!3)) | (~greater(C2!4, C1!5)))) <=> ((~![X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~organization(Y, T2)) | (~organization(X, T1)) | (~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!9, Ta!3)) | (~organization(Y!8, Ta!3)) | (~class(X!9, C!6, Ta!3)) | (~inertia(X!9, tptp_fun_I_0(Ta!3, X!9), Ta!3)) | (~class(Y!8, C!6, Ta!3)) | (~inertia(Y!8, tptp_fun_I_0(Ta!3, Y!8), Ta!3)) | greater(tptp_fun_I_0(Ta!3, Y!8), tptp_fun_I_0(Ta!3, X!9)) | (~complexity(X!9, C1!5, Ta!3)) | (~complexity(Y!8, C2!4, Ta!3)) | (~greater(C2!4, C1!5)))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(75,plain,
% 0.13/0.43 ((greater(tptp_fun_I_0(Ta!3, Y!8), tptp_fun_I_0(Ta!3, X!9)) | (~organization(Y!8, Ta!3)) | (~organization(X!9, Ta!3)) | (~class(X!9, C!6, Ta!3)) | (~class(Y!8, C!6, Ta!3)) | (~complexity(X!9, C1!5, Ta!3)) | (~complexity(Y!8, C2!4, Ta!3)) | (~inertia(X!9, tptp_fun_I_0(Ta!3, X!9), Ta!3)) | (~inertia(Y!8, tptp_fun_I_0(Ta!3, Y!8), Ta!3)) | (~greater(C2!4, C1!5))) <=> ((~organization(X!9, Ta!3)) | (~organization(Y!8, Ta!3)) | (~class(X!9, C!6, Ta!3)) | (~inertia(X!9, tptp_fun_I_0(Ta!3, X!9), Ta!3)) | (~class(Y!8, C!6, Ta!3)) | (~inertia(Y!8, tptp_fun_I_0(Ta!3, Y!8), Ta!3)) | greater(tptp_fun_I_0(Ta!3, Y!8), tptp_fun_I_0(Ta!3, X!9)) | (~complexity(X!9, C1!5, Ta!3)) | (~complexity(Y!8, C2!4, Ta!3)) | (~greater(C2!4, C1!5)))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(76,plain,
% 0.13/0.43 (((~![X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~organization(Y, T2)) | (~organization(X, T1)) | (~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(Ta!3, Y!8), tptp_fun_I_0(Ta!3, X!9)) | (~organization(Y!8, Ta!3)) | (~organization(X!9, Ta!3)) | (~class(X!9, C!6, Ta!3)) | (~class(Y!8, C!6, Ta!3)) | (~complexity(X!9, C1!5, Ta!3)) | (~complexity(Y!8, C2!4, Ta!3)) | (~inertia(X!9, tptp_fun_I_0(Ta!3, X!9), Ta!3)) | (~inertia(Y!8, tptp_fun_I_0(Ta!3, Y!8), Ta!3)) | (~greater(C2!4, C1!5)))) <=> ((~![X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~organization(Y, T2)) | (~organization(X, T1)) | (~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!9, Ta!3)) | (~organization(Y!8, Ta!3)) | (~class(X!9, C!6, Ta!3)) | (~inertia(X!9, tptp_fun_I_0(Ta!3, X!9), Ta!3)) | (~class(Y!8, C!6, Ta!3)) | (~inertia(Y!8, tptp_fun_I_0(Ta!3, Y!8), Ta!3)) | greater(tptp_fun_I_0(Ta!3, Y!8), tptp_fun_I_0(Ta!3, X!9)) | (~complexity(X!9, C1!5, Ta!3)) | (~complexity(Y!8, C2!4, Ta!3)) | (~greater(C2!4, C1!5))))),
% 0.13/0.43 inference(monotonicity,[status(thm)],[75])).
% 0.13/0.43 tff(77,plain,
% 0.13/0.43 (((~![X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~organization(Y, T2)) | (~organization(X, T1)) | (~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(Ta!3, Y!8), tptp_fun_I_0(Ta!3, X!9)) | (~organization(Y!8, Ta!3)) | (~organization(X!9, Ta!3)) | (~class(X!9, C!6, Ta!3)) | (~class(Y!8, C!6, Ta!3)) | (~complexity(X!9, C1!5, Ta!3)) | (~complexity(Y!8, C2!4, Ta!3)) | (~inertia(X!9, tptp_fun_I_0(Ta!3, X!9), Ta!3)) | (~inertia(Y!8, tptp_fun_I_0(Ta!3, Y!8), Ta!3)) | (~greater(C2!4, C1!5)))) <=> ((~![X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~organization(Y, T2)) | (~organization(X, T1)) | (~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!9, Ta!3)) | (~organization(Y!8, Ta!3)) | (~class(X!9, C!6, Ta!3)) | (~inertia(X!9, tptp_fun_I_0(Ta!3, X!9), Ta!3)) | (~class(Y!8, C!6, Ta!3)) | (~inertia(Y!8, tptp_fun_I_0(Ta!3, Y!8), Ta!3)) | greater(tptp_fun_I_0(Ta!3, Y!8), tptp_fun_I_0(Ta!3, X!9)) | (~complexity(X!9, C1!5, Ta!3)) | (~complexity(Y!8, C2!4, Ta!3)) | (~greater(C2!4, C1!5)))),
% 0.13/0.43 inference(transitivity,[status(thm)],[76, 74])).
% 0.13/0.43 tff(78,plain,
% 0.13/0.43 ((~![X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~organization(Y, T2)) | (~organization(X, T1)) | (~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(Ta!3, Y!8), tptp_fun_I_0(Ta!3, X!9)) | (~organization(Y!8, Ta!3)) | (~organization(X!9, Ta!3)) | (~class(X!9, C!6, Ta!3)) | (~class(Y!8, C!6, Ta!3)) | (~complexity(X!9, C1!5, Ta!3)) | (~complexity(Y!8, C2!4, Ta!3)) | (~inertia(X!9, tptp_fun_I_0(Ta!3, X!9), Ta!3)) | (~inertia(Y!8, tptp_fun_I_0(Ta!3, Y!8), Ta!3)) | (~greater(C2!4, C1!5)))),
% 0.13/0.44 inference(quant_inst,[status(thm)],[])).
% 0.13/0.44 tff(79,plain,
% 0.13/0.44 ((~![X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~organization(Y, T2)) | (~organization(X, T1)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~complexity(X, C1, T1)) | (~complexity(Y, C2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(C2, C1)))) | (~organization(X!9, Ta!3)) | (~organization(Y!8, Ta!3)) | (~class(X!9, C!6, Ta!3)) | (~inertia(X!9, tptp_fun_I_0(Ta!3, X!9), Ta!3)) | (~class(Y!8, C!6, Ta!3)) | (~inertia(Y!8, tptp_fun_I_0(Ta!3, Y!8), Ta!3)) | greater(tptp_fun_I_0(Ta!3, Y!8), tptp_fun_I_0(Ta!3, X!9)) | (~complexity(X!9, C1!5, Ta!3)) | (~complexity(Y!8, C2!4, Ta!3)) | (~greater(C2!4, C1!5))),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[78, 77])).
% 0.13/0.44 tff(80,plain,
% 0.13/0.44 ($false),
% 0.13/0.44 inference(unit_resolution,[status(thm)],[79, 73, 25, 10, 36, 35, 60, 59, 58, 29, 24, 57])).
% 0.13/0.44 % SZS output end Proof
% 0.13/0.44 % E exiting
%------------------------------------------------------------------------------