%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT008+1 : TPTP v9.3.0. Released v2.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n013.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 06:23:55 AM UTC 2026
% Result : Theorem 0.14s 0.40s
% Output : Proof 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT008+1 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.02 % Command : run_E %s %d THM
% 0.08/0.34 % Computer : n013.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 7 11:45:06 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.14/0.40 % SZS status Theorem
% 0.14/0.40 % SZS output start Proof
% 0.14/0.40 tff(greater_type, type, (
% 0.14/0.40 greater: ( $i * $i ) > $o)).
% 0.14/0.40 tff(tptp_fun_I_0_type, type, (
% 0.14/0.40 tptp_fun_I_0: ( $i * $i ) > $i)).
% 0.14/0.40 tff(tptp_fun_X_9_type, type, (
% 0.14/0.40 tptp_fun_X_9: $i)).
% 0.14/0.40 tff(tptp_fun_T1_2_type, type, (
% 0.14/0.40 tptp_fun_T1_2: $i)).
% 0.14/0.40 tff(tptp_fun_Y_8_type, type, (
% 0.14/0.40 tptp_fun_Y_8: $i)).
% 0.14/0.40 tff(tptp_fun_T2_1_type, type, (
% 0.14/0.40 tptp_fun_T2_1: $i)).
% 0.14/0.40 tff(inertia_type, type, (
% 0.14/0.40 inertia: ( $i * $i * $i ) > $o)).
% 0.14/0.40 tff(organization_type, type, (
% 0.14/0.40 organization: ( $i * $i ) > $o)).
% 0.14/0.40 tff(tptp_fun_S1_4_type, type, (
% 0.14/0.40 tptp_fun_S1_4: $i)).
% 0.14/0.40 tff(tptp_fun_S2_3_type, type, (
% 0.14/0.40 tptp_fun_S2_3: $i)).
% 0.14/0.40 tff(size_type, type, (
% 0.14/0.40 size: ( $i * $i * $i ) > $o)).
% 0.14/0.40 tff(survival_chance_type, type, (
% 0.14/0.40 survival_chance: ( $i * $i * $i ) > $o)).
% 0.14/0.40 tff(tptp_fun_P2_5_type, type, (
% 0.14/0.40 tptp_fun_P2_5: $i)).
% 0.14/0.40 tff(tptp_fun_P1_6_type, type, (
% 0.14/0.40 tptp_fun_P1_6: $i)).
% 0.14/0.40 tff(class_type, type, (
% 0.14/0.40 class: ( $i * $i * $i ) > $o)).
% 0.14/0.40 tff(tptp_fun_C_7_type, type, (
% 0.14/0.40 tptp_fun_C_7: $i)).
% 0.14/0.40 tff(reorganization_free_type, type, (
% 0.14/0.40 reorganization_free: ( $i * $i * $i ) > $o)).
% 0.14/0.40 tff(1,plain,
% 0.14/0.40 ((~![X: $i, Y: $i, C: $i, P1: $i, P2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & size(X, S1, T1) & size(Y, S2, T2) & greater(S2, S1))) | greater(P2, P1))) <=> (~![X: $i, Y: $i, C: $i, P1: $i, P2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & size(X, S1, T1) & size(Y, S2, T2) & greater(S2, S1))) | greater(P2, P1)))),
% 0.14/0.40 inference(rewrite,[status(thm)],[])).
% 0.14/0.40 tff(2,plain,
% 0.14/0.40 ((~![X: $i, Y: $i, C: $i, P1: $i, P2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : (((((((((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) & class(X, C, T1)) & class(Y, C, T2)) & survival_chance(X, P1, T1)) & survival_chance(Y, P2, T2)) & size(X, S1, T1)) & size(Y, S2, T2)) & greater(S2, S1)) => greater(P2, P1))) <=> (~![X: $i, Y: $i, C: $i, P1: $i, P2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & size(X, S1, T1) & size(Y, S2, T2) & greater(S2, S1))) | greater(P2, P1)))),
% 0.14/0.40 inference(rewrite,[status(thm)],[])).
% 0.14/0.40 tff(3,axiom,(~![X: $i, Y: $i, C: $i, P1: $i, P2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : (((((((((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) & class(X, C, T1)) & class(Y, C, T2)) & survival_chance(X, P1, T1)) & survival_chance(Y, P2, T2)) & size(X, S1, T1)) & size(Y, S2, T2)) & greater(S2, S1)) => greater(P2, P1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','t8_FOL')).
% 0.14/0.40 tff(4,plain,
% 0.14/0.40 (~![X: $i, Y: $i, C: $i, P1: $i, P2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & size(X, S1, T1) & size(Y, S2, T2) & greater(S2, S1))) | greater(P2, P1))),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.14/0.40 tff(5,plain,
% 0.14/0.40 (~![X: $i, Y: $i, C: $i, P1: $i, P2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & size(X, S1, T1) & size(Y, S2, T2) & greater(S2, S1))) | greater(P2, P1))),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[4, 1])).
% 0.14/0.40 tff(6,plain,
% 0.14/0.40 (~![X: $i, Y: $i, C: $i, P1: $i, P2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & size(X, S1, T1) & size(Y, S2, T2) & greater(S2, S1))) | greater(P2, P1))),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.14/0.40 tff(7,plain,
% 0.14/0.40 (~![X: $i, Y: $i, C: $i, P1: $i, P2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & size(X, S1, T1) & size(Y, S2, T2) & greater(S2, S1))) | greater(P2, P1))),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[6, 1])).
% 0.14/0.40 tff(8,plain,(
% 0.14/0.40 ~((~(organization(X!9, T1!2) & organization(Y!8, T2!1) & reorganization_free(X!9, T1!2, T1!2) & reorganization_free(Y!8, T2!1, T2!1) & class(X!9, C!7, T1!2) & class(Y!8, C!7, T2!1) & survival_chance(X!9, P1!6, T1!2) & survival_chance(Y!8, P2!5, T2!1) & size(X!9, S1!4, T1!2) & size(Y!8, S2!3, T2!1) & greater(S2!3, S1!4))) | greater(P2!5, P1!6))),
% 0.14/0.40 inference(skolemize,[status(sab)],[7])).
% 0.14/0.40 tff(9,plain,
% 0.14/0.40 (organization(X!9, T1!2) & organization(Y!8, T2!1) & reorganization_free(X!9, T1!2, T1!2) & reorganization_free(Y!8, T2!1, T2!1) & class(X!9, C!7, T1!2) & class(Y!8, C!7, T2!1) & survival_chance(X!9, P1!6, T1!2) & survival_chance(Y!8, P2!5, T2!1) & size(X!9, S1!4, T1!2) & size(Y!8, S2!3, T2!1) & greater(S2!3, S1!4)),
% 0.14/0.40 inference(or_elim,[status(thm)],[8])).
% 0.14/0.40 tff(10,plain,
% 0.14/0.40 (organization(Y!8, T2!1)),
% 0.14/0.40 inference(and_elim,[status(thm)],[9])).
% 0.14/0.40 tff(11,plain,
% 0.14/0.40 (^[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)))),
% 0.14/0.40 inference(bind,[status(th)],[])).
% 0.14/0.40 tff(12,plain,
% 0.14/0.40 (![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))),
% 0.14/0.40 inference(quant_intro,[status(thm)],[11])).
% 0.14/0.40 tff(13,plain,
% 0.14/0.40 (![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))),
% 0.14/0.40 inference(rewrite,[status(thm)],[])).
% 0.14/0.40 tff(14,plain,
% 0.14/0.40 (^[X: $i, T: $i] : rewrite((organization(X, T) => ?[I: $i] : inertia(X, I, T)) <=> ((~organization(X, T)) | ?[I: $i] : inertia(X, I, T)))),
% 0.14/0.40 inference(bind,[status(th)],[])).
% 0.14/0.40 tff(15,plain,
% 0.14/0.40 (![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))),
% 0.14/0.40 inference(quant_intro,[status(thm)],[14])).
% 0.14/0.40 tff(16,axiom,(![X: $i, T: $i] : (organization(X, T) => ?[I: $i] : inertia(X, I, T))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp5')).
% 0.14/0.40 tff(17,plain,
% 0.14/0.40 (![X: $i, T: $i] : ((~organization(X, T)) | ?[I: $i] : inertia(X, I, T))),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.14/0.40 tff(18,plain,
% 0.14/0.40 (![X: $i, T: $i] : ((~organization(X, T)) | ?[I: $i] : inertia(X, I, T))),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[17, 13])).
% 0.14/0.40 tff(19,plain,(
% 0.14/0.40 ![X: $i, T: $i] : ((~organization(X, T)) | inertia(X, tptp_fun_I_0(T, X), T))),
% 0.14/0.40 inference(skolemize,[status(sab)],[18])).
% 0.14/0.40 tff(20,plain,
% 0.14/0.40 (![X: $i, T: $i] : ((~organization(X, T)) | inertia(X, tptp_fun_I_0(T, X), T))),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[19, 12])).
% 0.14/0.40 tff(21,plain,
% 0.14/0.40 (((~![X: $i, T: $i] : ((~organization(X, T)) | inertia(X, tptp_fun_I_0(T, X), T))) | ((~organization(Y!8, T2!1)) | inertia(Y!8, tptp_fun_I_0(T2!1, Y!8), T2!1))) <=> ((~![X: $i, T: $i] : ((~organization(X, T)) | inertia(X, tptp_fun_I_0(T, X), T))) | (~organization(Y!8, T2!1)) | inertia(Y!8, tptp_fun_I_0(T2!1, Y!8), T2!1))),
% 0.14/0.40 inference(rewrite,[status(thm)],[])).
% 0.14/0.40 tff(22,plain,
% 0.14/0.40 ((~![X: $i, T: $i] : ((~organization(X, T)) | inertia(X, tptp_fun_I_0(T, X), T))) | ((~organization(Y!8, T2!1)) | inertia(Y!8, tptp_fun_I_0(T2!1, Y!8), T2!1))),
% 0.14/0.40 inference(quant_inst,[status(thm)],[])).
% 0.14/0.40 tff(23,plain,
% 0.14/0.40 ((~![X: $i, T: $i] : ((~organization(X, T)) | inertia(X, tptp_fun_I_0(T, X), T))) | (~organization(Y!8, T2!1)) | inertia(Y!8, tptp_fun_I_0(T2!1, Y!8), T2!1)),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[22, 21])).
% 0.14/0.40 tff(24,plain,
% 0.14/0.40 (inertia(Y!8, tptp_fun_I_0(T2!1, Y!8), T2!1)),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[23, 20, 10])).
% 0.14/0.40 tff(25,plain,
% 0.14/0.40 (organization(X!9, T1!2)),
% 0.14/0.40 inference(and_elim,[status(thm)],[9])).
% 0.14/0.40 tff(26,plain,
% 0.14/0.40 (((~![X: $i, T: $i] : ((~organization(X, T)) | inertia(X, tptp_fun_I_0(T, X), T))) | ((~organization(X!9, T1!2)) | inertia(X!9, tptp_fun_I_0(T1!2, X!9), T1!2))) <=> ((~![X: $i, T: $i] : ((~organization(X, T)) | inertia(X, tptp_fun_I_0(T, X), T))) | (~organization(X!9, T1!2)) | inertia(X!9, tptp_fun_I_0(T1!2, X!9), T1!2))),
% 0.14/0.40 inference(rewrite,[status(thm)],[])).
% 0.14/0.40 tff(27,plain,
% 0.14/0.40 ((~![X: $i, T: $i] : ((~organization(X, T)) | inertia(X, tptp_fun_I_0(T, X), T))) | ((~organization(X!9, T1!2)) | inertia(X!9, tptp_fun_I_0(T1!2, X!9), T1!2))),
% 0.14/0.40 inference(quant_inst,[status(thm)],[])).
% 0.14/0.40 tff(28,plain,
% 0.14/0.40 ((~![X: $i, T: $i] : ((~organization(X, T)) | inertia(X, tptp_fun_I_0(T, X), T))) | (~organization(X!9, T1!2)) | inertia(X!9, tptp_fun_I_0(T1!2, X!9), T1!2)),
% 0.14/0.41 inference(modus_ponens,[status(thm)],[27, 26])).
% 0.14/0.41 tff(29,plain,
% 0.14/0.41 (inertia(X!9, tptp_fun_I_0(T1!2, X!9), T1!2)),
% 0.14/0.41 inference(unit_resolution,[status(thm)],[28, 20, 25])).
% 0.14/0.41 tff(30,plain,
% 0.14/0.41 (~greater(P2!5, P1!6)),
% 0.14/0.41 inference(or_elim,[status(thm)],[8])).
% 0.14/0.41 tff(31,plain,
% 0.14/0.41 (survival_chance(Y!8, P2!5, T2!1)),
% 0.14/0.41 inference(and_elim,[status(thm)],[9])).
% 0.14/0.41 tff(32,plain,
% 0.14/0.41 (survival_chance(X!9, P1!6, T1!2)),
% 0.14/0.41 inference(and_elim,[status(thm)],[9])).
% 0.14/0.41 tff(33,plain,
% 0.14/0.41 (reorganization_free(Y!8, T2!1, T2!1)),
% 0.14/0.41 inference(and_elim,[status(thm)],[9])).
% 0.14/0.41 tff(34,plain,
% 0.14/0.41 (reorganization_free(X!9, T1!2, T1!2)),
% 0.14/0.41 inference(and_elim,[status(thm)],[9])).
% 0.14/0.41 tff(35,plain,
% 0.14/0.41 (^[X: $i, Y: $i, T1: $i, T2: $i, I1: $i, I2: $i, P1: $i, P2: $i] : refl((greater(P2, P1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~survival_chance(X, P1, T1)) | (~survival_chance(Y, P2, T2)) | (~greater(I2, I1))) <=> (greater(P2, P1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~survival_chance(X, P1, T1)) | (~survival_chance(Y, P2, T2)) | (~greater(I2, I1))))),
% 0.14/0.41 inference(bind,[status(th)],[])).
% 0.14/0.41 tff(36,plain,
% 0.14/0.41 (![X: $i, Y: $i, T1: $i, T2: $i, I1: $i, I2: $i, P1: $i, P2: $i] : (greater(P2, P1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~survival_chance(X, P1, T1)) | (~survival_chance(Y, P2, T2)) | (~greater(I2, I1))) <=> ![X: $i, Y: $i, T1: $i, T2: $i, I1: $i, I2: $i, P1: $i, P2: $i] : (greater(P2, P1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~survival_chance(X, P1, T1)) | (~survival_chance(Y, P2, T2)) | (~greater(I2, I1)))),
% 0.14/0.41 inference(quant_intro,[status(thm)],[35])).
% 0.14/0.41 tff(37,plain,
% 0.14/0.41 (^[X: $i, Y: $i, T1: $i, T2: $i, I1: $i, I2: $i, P1: $i, P2: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & greater(I2, I1)) <=> (~((~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~survival_chance(X, P1, T1)) | (~survival_chance(Y, P2, T2)) | (~greater(I2, I1))))), ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & greater(I2, I1))) <=> (~(~((~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~survival_chance(X, P1, T1)) | (~survival_chance(Y, P2, T2)) | (~greater(I2, I1))))))), rewrite((~(~((~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~survival_chance(X, P1, T1)) | (~survival_chance(Y, P2, T2)) | (~greater(I2, I1))))) <=> ((~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~survival_chance(X, P1, T1)) | (~survival_chance(Y, P2, T2)) | (~greater(I2, I1)))), ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & greater(I2, I1))) <=> ((~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~survival_chance(X, P1, T1)) | (~survival_chance(Y, P2, T2)) | (~greater(I2, I1))))), (((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & greater(I2, I1))) | greater(P2, P1)) <=> (((~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~survival_chance(X, P1, T1)) | (~survival_chance(Y, P2, T2)) | (~greater(I2, I1))) | greater(P2, P1)))), rewrite((((~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~survival_chance(X, P1, T1)) | (~survival_chance(Y, P2, T2)) | (~greater(I2, I1))) | greater(P2, P1)) <=> (greater(P2, P1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~survival_chance(X, P1, T1)) | (~survival_chance(Y, P2, T2)) | (~greater(I2, I1)))), (((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & greater(I2, I1))) | greater(P2, P1)) <=> (greater(P2, P1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~survival_chance(X, P1, T1)) | (~survival_chance(Y, P2, T2)) | (~greater(I2, I1)))))),
% 0.14/0.41 inference(bind,[status(th)],[])).
% 0.14/0.41 tff(38,plain,
% 0.14/0.41 (![X: $i, Y: $i, T1: $i, T2: $i, I1: $i, I2: $i, P1: $i, P2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & greater(I2, I1))) | greater(P2, P1)) <=> ![X: $i, Y: $i, T1: $i, T2: $i, I1: $i, I2: $i, P1: $i, P2: $i] : (greater(P2, P1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~survival_chance(X, P1, T1)) | (~survival_chance(Y, P2, T2)) | (~greater(I2, I1)))),
% 0.14/0.41 inference(quant_intro,[status(thm)],[37])).
% 0.14/0.41 tff(39,plain,
% 0.14/0.41 (![X: $i, Y: $i, T1: $i, T2: $i, I1: $i, I2: $i, P1: $i, P2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & greater(I2, I1))) | greater(P2, P1)) <=> ![X: $i, Y: $i, T1: $i, T2: $i, I1: $i, I2: $i, P1: $i, P2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & greater(I2, I1))) | greater(P2, P1))),
% 0.14/0.41 inference(rewrite,[status(thm)],[])).
% 0.14/0.41 tff(40,plain,
% 0.14/0.41 (^[X: $i, Y: $i, T1: $i, T2: $i, I1: $i, I2: $i, P1: $i, P2: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) <=> (organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1))), ((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) <=> ((organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)))), rewrite(((organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) <=> (organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2))), ((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) <=> (organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2)))), (((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) & inertia(X, I1, T1)) <=> ((organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2)) & inertia(X, I1, T1)))), rewrite(((organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2)) & inertia(X, I1, T1)) <=> (organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & inertia(X, I1, T1))), (((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) & inertia(X, I1, T1)) <=> (organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & inertia(X, I1, T1)))), ((((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) & inertia(X, I1, T1)) & inertia(Y, I2, T2)) <=> ((organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & inertia(X, I1, T1)) & inertia(Y, I2, T2)))), rewrite(((organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & inertia(X, I1, T1)) & inertia(Y, I2, T2)) <=> (organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2))), ((((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) & inertia(X, I1, T1)) & inertia(Y, I2, T2)) <=> (organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2)))), (((((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) & inertia(X, I1, T1)) & inertia(Y, I2, T2)) & survival_chance(X, P1, T1)) <=> ((organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2)) & survival_chance(X, P1, T1)))), rewrite(((organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2)) & survival_chance(X, P1, T1)) <=> (organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & survival_chance(X, P1, T1))), (((((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) & inertia(X, I1, T1)) & inertia(Y, I2, T2)) & survival_chance(X, P1, T1)) <=> (organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & survival_chance(X, P1, T1)))), ((((((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) & inertia(X, I1, T1)) & inertia(Y, I2, T2)) & survival_chance(X, P1, T1)) & survival_chance(Y, P2, T2)) <=> ((organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & survival_chance(X, P1, T1)) & survival_chance(Y, P2, T2)))), rewrite(((organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & survival_chance(X, P1, T1)) & survival_chance(Y, P2, T2)) <=> (organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2))), ((((((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) & inertia(X, I1, T1)) & inertia(Y, I2, T2)) & survival_chance(X, P1, T1)) & survival_chance(Y, P2, T2)) <=> (organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2)))), (((((((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) & inertia(X, I1, T1)) & inertia(Y, I2, T2)) & survival_chance(X, P1, T1)) & survival_chance(Y, P2, T2)) & greater(I2, I1)) <=> ((organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2)) & greater(I2, I1)))), rewrite(((organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2)) & greater(I2, I1)) <=> (organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & greater(I2, I1))), (((((((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) & inertia(X, I1, T1)) & inertia(Y, I2, T2)) & survival_chance(X, P1, T1)) & survival_chance(Y, P2, T2)) & greater(I2, I1)) <=> (organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & greater(I2, I1)))), ((((((((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) & inertia(X, I1, T1)) & inertia(Y, I2, T2)) & survival_chance(X, P1, T1)) & survival_chance(Y, P2, T2)) & greater(I2, I1)) => greater(P2, P1)) <=> ((organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & greater(I2, I1)) => greater(P2, P1)))), rewrite(((organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & greater(I2, I1)) => greater(P2, P1)) <=> ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & greater(I2, I1))) | greater(P2, P1))), ((((((((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) & inertia(X, I1, T1)) & inertia(Y, I2, T2)) & survival_chance(X, P1, T1)) & survival_chance(Y, P2, T2)) & greater(I2, I1)) => greater(P2, P1)) <=> ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & greater(I2, I1))) | greater(P2, P1))))),
% 0.14/0.41 inference(bind,[status(th)],[])).
% 0.14/0.41 tff(41,plain,
% 0.14/0.41 (![X: $i, Y: $i, T1: $i, T2: $i, I1: $i, I2: $i, P1: $i, P2: $i] : (((((((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) & inertia(X, I1, T1)) & inertia(Y, I2, T2)) & survival_chance(X, P1, T1)) & survival_chance(Y, P2, T2)) & greater(I2, I1)) => greater(P2, P1)) <=> ![X: $i, Y: $i, T1: $i, T2: $i, I1: $i, I2: $i, P1: $i, P2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & greater(I2, I1))) | greater(P2, P1))),
% 0.14/0.41 inference(quant_intro,[status(thm)],[40])).
% 0.14/0.41 tff(42,axiom,(![X: $i, Y: $i, T1: $i, T2: $i, I1: $i, I2: $i, P1: $i, P2: $i] : (((((((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) & inertia(X, I1, T1)) & inertia(Y, I2, T2)) & survival_chance(X, P1, T1)) & survival_chance(Y, P2, T2)) & greater(I2, I1)) => greater(P2, P1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','t1_FOL')).
% 0.14/0.41 tff(43,plain,
% 0.14/0.41 (![X: $i, Y: $i, T1: $i, T2: $i, I1: $i, I2: $i, P1: $i, P2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & greater(I2, I1))) | greater(P2, P1))),
% 0.14/0.41 inference(modus_ponens,[status(thm)],[42, 41])).
% 0.14/0.41 tff(44,plain,
% 0.14/0.41 (![X: $i, Y: $i, T1: $i, T2: $i, I1: $i, I2: $i, P1: $i, P2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & greater(I2, I1))) | greater(P2, P1))),
% 0.14/0.41 inference(modus_ponens,[status(thm)],[43, 39])).
% 0.14/0.41 tff(45,plain,(
% 0.14/0.41 ![X: $i, Y: $i, T1: $i, T2: $i, I1: $i, I2: $i, P1: $i, P2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & greater(I2, I1))) | greater(P2, P1))),
% 0.14/0.41 inference(skolemize,[status(sab)],[44])).
% 0.14/0.41 tff(46,plain,
% 0.14/0.41 (![X: $i, Y: $i, T1: $i, T2: $i, I1: $i, I2: $i, P1: $i, P2: $i] : (greater(P2, P1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~survival_chance(X, P1, T1)) | (~survival_chance(Y, P2, T2)) | (~greater(I2, I1)))),
% 0.14/0.41 inference(modus_ponens,[status(thm)],[45, 38])).
% 0.14/0.41 tff(47,plain,
% 0.14/0.41 (![X: $i, Y: $i, T1: $i, T2: $i, I1: $i, I2: $i, P1: $i, P2: $i] : (greater(P2, P1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~survival_chance(X, P1, T1)) | (~survival_chance(Y, P2, T2)) | (~greater(I2, I1)))),
% 0.14/0.41 inference(modus_ponens,[status(thm)],[46, 36])).
% 0.14/0.41 tff(48,plain,
% 0.14/0.41 (((~![X: $i, Y: $i, T1: $i, T2: $i, I1: $i, I2: $i, P1: $i, P2: $i] : (greater(P2, P1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~survival_chance(X, P1, T1)) | (~survival_chance(Y, P2, T2)) | (~greater(I2, I1)))) | (greater(P2!5, P1!6) | (~organization(X!9, T1!2)) | (~organization(Y!8, T2!1)) | (~reorganization_free(X!9, T1!2, T1!2)) | (~inertia(X!9, tptp_fun_I_0(T1!2, X!9), T1!2)) | (~survival_chance(X!9, P1!6, T1!2)) | (~reorganization_free(Y!8, T2!1, T2!1)) | (~inertia(Y!8, tptp_fun_I_0(T2!1, Y!8), T2!1)) | (~survival_chance(Y!8, P2!5, T2!1)) | (~greater(tptp_fun_I_0(T2!1, Y!8), tptp_fun_I_0(T1!2, X!9))))) <=> ((~![X: $i, Y: $i, T1: $i, T2: $i, I1: $i, I2: $i, P1: $i, P2: $i] : (greater(P2, P1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~survival_chance(X, P1, T1)) | (~survival_chance(Y, P2, T2)) | (~greater(I2, I1)))) | greater(P2!5, P1!6) | (~organization(X!9, T1!2)) | (~organization(Y!8, T2!1)) | (~reorganization_free(X!9, T1!2, T1!2)) | (~inertia(X!9, tptp_fun_I_0(T1!2, X!9), T1!2)) | (~survival_chance(X!9, P1!6, T1!2)) | (~reorganization_free(Y!8, T2!1, T2!1)) | (~inertia(Y!8, tptp_fun_I_0(T2!1, Y!8), T2!1)) | (~survival_chance(Y!8, P2!5, T2!1)) | (~greater(tptp_fun_I_0(T2!1, Y!8), tptp_fun_I_0(T1!2, X!9))))),
% 0.14/0.41 inference(rewrite,[status(thm)],[])).
% 0.14/0.41 tff(49,plain,
% 0.14/0.41 ((greater(P2!5, P1!6) | (~organization(X!9, T1!2)) | (~organization(Y!8, T2!1)) | (~reorganization_free(X!9, T1!2, T1!2)) | (~reorganization_free(Y!8, T2!1, T2!1)) | (~inertia(X!9, tptp_fun_I_0(T1!2, X!9), T1!2)) | (~inertia(Y!8, tptp_fun_I_0(T2!1, Y!8), T2!1)) | (~survival_chance(X!9, P1!6, T1!2)) | (~survival_chance(Y!8, P2!5, T2!1)) | (~greater(tptp_fun_I_0(T2!1, Y!8), tptp_fun_I_0(T1!2, X!9)))) <=> (greater(P2!5, P1!6) | (~organization(X!9, T1!2)) | (~organization(Y!8, T2!1)) | (~reorganization_free(X!9, T1!2, T1!2)) | (~inertia(X!9, tptp_fun_I_0(T1!2, X!9), T1!2)) | (~survival_chance(X!9, P1!6, T1!2)) | (~reorganization_free(Y!8, T2!1, T2!1)) | (~inertia(Y!8, tptp_fun_I_0(T2!1, Y!8), T2!1)) | (~survival_chance(Y!8, P2!5, T2!1)) | (~greater(tptp_fun_I_0(T2!1, Y!8), tptp_fun_I_0(T1!2, X!9))))),
% 0.14/0.41 inference(rewrite,[status(thm)],[])).
% 0.14/0.41 tff(50,plain,
% 0.14/0.41 (((~![X: $i, Y: $i, T1: $i, T2: $i, I1: $i, I2: $i, P1: $i, P2: $i] : (greater(P2, P1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~survival_chance(X, P1, T1)) | (~survival_chance(Y, P2, T2)) | (~greater(I2, I1)))) | (greater(P2!5, P1!6) | (~organization(X!9, T1!2)) | (~organization(Y!8, T2!1)) | (~reorganization_free(X!9, T1!2, T1!2)) | (~reorganization_free(Y!8, T2!1, T2!1)) | (~inertia(X!9, tptp_fun_I_0(T1!2, X!9), T1!2)) | (~inertia(Y!8, tptp_fun_I_0(T2!1, Y!8), T2!1)) | (~survival_chance(X!9, P1!6, T1!2)) | (~survival_chance(Y!8, P2!5, T2!1)) | (~greater(tptp_fun_I_0(T2!1, Y!8), tptp_fun_I_0(T1!2, X!9))))) <=> ((~![X: $i, Y: $i, T1: $i, T2: $i, I1: $i, I2: $i, P1: $i, P2: $i] : (greater(P2, P1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~survival_chance(X, P1, T1)) | (~survival_chance(Y, P2, T2)) | (~greater(I2, I1)))) | (greater(P2!5, P1!6) | (~organization(X!9, T1!2)) | (~organization(Y!8, T2!1)) | (~reorganization_free(X!9, T1!2, T1!2)) | (~inertia(X!9, tptp_fun_I_0(T1!2, X!9), T1!2)) | (~survival_chance(X!9, P1!6, T1!2)) | (~reorganization_free(Y!8, T2!1, T2!1)) | (~inertia(Y!8, tptp_fun_I_0(T2!1, Y!8), T2!1)) | (~survival_chance(Y!8, P2!5, T2!1)) | (~greater(tptp_fun_I_0(T2!1, Y!8), tptp_fun_I_0(T1!2, X!9)))))),
% 0.14/0.41 inference(monotonicity,[status(thm)],[49])).
% 0.14/0.41 tff(51,plain,
% 0.14/0.41 (((~![X: $i, Y: $i, T1: $i, T2: $i, I1: $i, I2: $i, P1: $i, P2: $i] : (greater(P2, P1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~survival_chance(X, P1, T1)) | (~survival_chance(Y, P2, T2)) | (~greater(I2, I1)))) | (greater(P2!5, P1!6) | (~organization(X!9, T1!2)) | (~organization(Y!8, T2!1)) | (~reorganization_free(X!9, T1!2, T1!2)) | (~reorganization_free(Y!8, T2!1, T2!1)) | (~inertia(X!9, tptp_fun_I_0(T1!2, X!9), T1!2)) | (~inertia(Y!8, tptp_fun_I_0(T2!1, Y!8), T2!1)) | (~survival_chance(X!9, P1!6, T1!2)) | (~survival_chance(Y!8, P2!5, T2!1)) | (~greater(tptp_fun_I_0(T2!1, Y!8), tptp_fun_I_0(T1!2, X!9))))) <=> ((~![X: $i, Y: $i, T1: $i, T2: $i, I1: $i, I2: $i, P1: $i, P2: $i] : (greater(P2, P1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~survival_chance(X, P1, T1)) | (~survival_chance(Y, P2, T2)) | (~greater(I2, I1)))) | greater(P2!5, P1!6) | (~organization(X!9, T1!2)) | (~organization(Y!8, T2!1)) | (~reorganization_free(X!9, T1!2, T1!2)) | (~inertia(X!9, tptp_fun_I_0(T1!2, X!9), T1!2)) | (~survival_chance(X!9, P1!6, T1!2)) | (~reorganization_free(Y!8, T2!1, T2!1)) | (~inertia(Y!8, tptp_fun_I_0(T2!1, Y!8), T2!1)) | (~survival_chance(Y!8, P2!5, T2!1)) | (~greater(tptp_fun_I_0(T2!1, Y!8), tptp_fun_I_0(T1!2, X!9))))),
% 0.14/0.42 inference(transitivity,[status(thm)],[50, 48])).
% 0.14/0.42 tff(52,plain,
% 0.14/0.42 ((~![X: $i, Y: $i, T1: $i, T2: $i, I1: $i, I2: $i, P1: $i, P2: $i] : (greater(P2, P1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~survival_chance(X, P1, T1)) | (~survival_chance(Y, P2, T2)) | (~greater(I2, I1)))) | (greater(P2!5, P1!6) | (~organization(X!9, T1!2)) | (~organization(Y!8, T2!1)) | (~reorganization_free(X!9, T1!2, T1!2)) | (~reorganization_free(Y!8, T2!1, T2!1)) | (~inertia(X!9, tptp_fun_I_0(T1!2, X!9), T1!2)) | (~inertia(Y!8, tptp_fun_I_0(T2!1, Y!8), T2!1)) | (~survival_chance(X!9, P1!6, T1!2)) | (~survival_chance(Y!8, P2!5, T2!1)) | (~greater(tptp_fun_I_0(T2!1, Y!8), tptp_fun_I_0(T1!2, X!9))))),
% 0.14/0.42 inference(quant_inst,[status(thm)],[])).
% 0.14/0.42 tff(53,plain,
% 0.14/0.42 ((~![X: $i, Y: $i, T1: $i, T2: $i, I1: $i, I2: $i, P1: $i, P2: $i] : (greater(P2, P1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~survival_chance(X, P1, T1)) | (~survival_chance(Y, P2, T2)) | (~greater(I2, I1)))) | greater(P2!5, P1!6) | (~organization(X!9, T1!2)) | (~organization(Y!8, T2!1)) | (~reorganization_free(X!9, T1!2, T1!2)) | (~inertia(X!9, tptp_fun_I_0(T1!2, X!9), T1!2)) | (~survival_chance(X!9, P1!6, T1!2)) | (~reorganization_free(Y!8, T2!1, T2!1)) | (~inertia(Y!8, tptp_fun_I_0(T2!1, Y!8), T2!1)) | (~survival_chance(Y!8, P2!5, T2!1)) | (~greater(tptp_fun_I_0(T2!1, Y!8), tptp_fun_I_0(T1!2, X!9)))),
% 0.14/0.42 inference(modus_ponens,[status(thm)],[52, 51])).
% 0.14/0.42 tff(54,plain,
% 0.14/0.42 (~greater(tptp_fun_I_0(T2!1, Y!8), tptp_fun_I_0(T1!2, X!9))),
% 0.14/0.42 inference(unit_resolution,[status(thm)],[53, 47, 25, 10, 34, 33, 32, 31, 30, 29, 24])).
% 0.14/0.42 tff(55,plain,
% 0.14/0.42 (greater(S2!3, S1!4)),
% 0.14/0.42 inference(and_elim,[status(thm)],[9])).
% 0.14/0.42 tff(56,plain,
% 0.14/0.42 (size(Y!8, S2!3, T2!1)),
% 0.14/0.42 inference(and_elim,[status(thm)],[9])).
% 0.14/0.42 tff(57,plain,
% 0.14/0.42 (size(X!9, S1!4, T1!2)),
% 0.14/0.42 inference(and_elim,[status(thm)],[9])).
% 0.14/0.42 tff(58,plain,
% 0.14/0.42 (class(Y!8, C!7, T2!1)),
% 0.14/0.42 inference(and_elim,[status(thm)],[9])).
% 0.14/0.42 tff(59,plain,
% 0.14/0.42 (class(X!9, C!7, T1!2)),
% 0.14/0.42 inference(and_elim,[status(thm)],[9])).
% 0.14/0.42 tff(60,plain,
% 0.14/0.42 (^[X: $i, Y: $i, C: $i, S1: $i, S2: $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)) | (~size(X, S1, T1)) | (~size(Y, S2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(S2, S1))) <=> (greater(I2, I1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~size(X, S1, T1)) | (~size(Y, S2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(S2, S1))))),
% 0.14/0.42 inference(bind,[status(th)],[])).
% 0.14/0.42 tff(61,plain,
% 0.14/0.42 (![X: $i, Y: $i, C: $i, S1: $i, S2: $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)) | (~size(X, S1, T1)) | (~size(Y, S2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(S2, S1))) <=> ![X: $i, Y: $i, C: $i, S1: $i, S2: $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)) | (~size(X, S1, T1)) | (~size(Y, S2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(S2, S1)))),
% 0.14/0.42 inference(quant_intro,[status(thm)],[60])).
% 0.14/0.42 tff(62,plain,
% 0.14/0.42 (^[X: $i, Y: $i, C: $i, S1: $i, S2: $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) & size(X, S1, T1) & size(Y, S2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & greater(S2, S1)) <=> (~((~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~size(X, S1, T1)) | (~size(Y, S2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(S2, S1))))), ((~(organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & size(X, S1, T1) & size(Y, S2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & greater(S2, S1))) <=> (~(~((~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~size(X, S1, T1)) | (~size(Y, S2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(S2, S1))))))), rewrite((~(~((~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~size(X, S1, T1)) | (~size(Y, S2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(S2, S1))))) <=> ((~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~size(X, S1, T1)) | (~size(Y, S2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(S2, S1)))), ((~(organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & size(X, S1, T1) & size(Y, S2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & greater(S2, S1))) <=> ((~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~size(X, S1, T1)) | (~size(Y, S2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(S2, S1))))), (((~(organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & size(X, S1, T1) & size(Y, S2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & greater(S2, S1))) | greater(I2, I1)) <=> (((~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~size(X, S1, T1)) | (~size(Y, S2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(S2, S1))) | greater(I2, I1)))), rewrite((((~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~size(X, S1, T1)) | (~size(Y, S2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(S2, S1))) | greater(I2, I1)) <=> (greater(I2, I1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~size(X, S1, T1)) | (~size(Y, S2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(S2, S1)))), (((~(organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & size(X, S1, T1) & size(Y, S2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & greater(S2, S1))) | greater(I2, I1)) <=> (greater(I2, I1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~size(X, S1, T1)) | (~size(Y, S2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(S2, S1)))))),
% 0.14/0.42 inference(bind,[status(th)],[])).
% 0.14/0.42 tff(63,plain,
% 0.14/0.42 (![X: $i, Y: $i, C: $i, S1: $i, S2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & size(X, S1, T1) & size(Y, S2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & greater(S2, S1))) | greater(I2, I1)) <=> ![X: $i, Y: $i, C: $i, S1: $i, S2: $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)) | (~size(X, S1, T1)) | (~size(Y, S2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(S2, S1)))),
% 0.14/0.42 inference(quant_intro,[status(thm)],[62])).
% 0.14/0.42 tff(64,plain,
% 0.14/0.42 (![X: $i, Y: $i, C: $i, S1: $i, S2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & size(X, S1, T1) & size(Y, S2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & greater(S2, S1))) | greater(I2, I1)) <=> ![X: $i, Y: $i, C: $i, S1: $i, S2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & size(X, S1, T1) & size(Y, S2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & greater(S2, S1))) | greater(I2, I1))),
% 0.14/0.42 inference(rewrite,[status(thm)],[])).
% 0.14/0.42 tff(65,plain,
% 0.14/0.42 (^[X: $i, Y: $i, C: $i, S1: $i, S2: $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)) & size(X, S1, T1)) <=> ((organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2)) & size(X, S1, T1)))), rewrite(((organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2)) & size(X, S1, T1)) <=> (organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & size(X, S1, T1))), (((((organization(X, T1) & organization(Y, T2)) & class(X, C, T1)) & class(Y, C, T2)) & size(X, S1, T1)) <=> (organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & size(X, S1, T1)))), ((((((organization(X, T1) & organization(Y, T2)) & class(X, C, T1)) & class(Y, C, T2)) & size(X, S1, T1)) & size(Y, S2, T2)) <=> ((organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & size(X, S1, T1)) & size(Y, S2, T2)))), rewrite(((organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & size(X, S1, T1)) & size(Y, S2, T2)) <=> (organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & size(X, S1, T1) & size(Y, S2, T2))), ((((((organization(X, T1) & organization(Y, T2)) & class(X, C, T1)) & class(Y, C, T2)) & size(X, S1, T1)) & size(Y, S2, T2)) <=> (organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & size(X, S1, T1) & size(Y, S2, T2)))), (((((((organization(X, T1) & organization(Y, T2)) & class(X, C, T1)) & class(Y, C, T2)) & size(X, S1, T1)) & size(Y, S2, T2)) & inertia(X, I1, T1)) <=> ((organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & size(X, S1, T1) & size(Y, S2, T2)) & inertia(X, I1, T1)))), rewrite(((organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & size(X, S1, T1) & size(Y, S2, T2)) & inertia(X, I1, T1)) <=> (organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & size(X, S1, T1) & size(Y, S2, T2) & inertia(X, I1, T1))), (((((((organization(X, T1) & organization(Y, T2)) & class(X, C, T1)) & class(Y, C, T2)) & size(X, S1, T1)) & size(Y, S2, T2)) & inertia(X, I1, T1)) <=> (organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & size(X, S1, T1) & size(Y, S2, T2) & inertia(X, I1, T1)))), ((((((((organization(X, T1) & organization(Y, T2)) & class(X, C, T1)) & class(Y, C, T2)) & size(X, S1, T1)) & size(Y, S2, T2)) & inertia(X, I1, T1)) & inertia(Y, I2, T2)) <=> ((organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & size(X, S1, T1) & size(Y, S2, T2) & inertia(X, I1, T1)) & inertia(Y, I2, T2)))), rewrite(((organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & size(X, S1, T1) & size(Y, S2, T2) & inertia(X, I1, T1)) & inertia(Y, I2, T2)) <=> (organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & size(X, S1, T1) & size(Y, S2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2))), ((((((((organization(X, T1) & organization(Y, T2)) & class(X, C, T1)) & class(Y, C, T2)) & size(X, S1, T1)) & size(Y, S2, T2)) & inertia(X, I1, T1)) & inertia(Y, I2, T2)) <=> (organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & size(X, S1, T1) & size(Y, S2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2)))), (((((((((organization(X, T1) & organization(Y, T2)) & class(X, C, T1)) & class(Y, C, T2)) & size(X, S1, T1)) & size(Y, S2, T2)) & inertia(X, I1, T1)) & inertia(Y, I2, T2)) & greater(S2, S1)) <=> ((organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & size(X, S1, T1) & size(Y, S2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2)) & greater(S2, S1)))), rewrite(((organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & size(X, S1, T1) & size(Y, S2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2)) & greater(S2, S1)) <=> (organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & size(X, S1, T1) & size(Y, S2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & greater(S2, S1))), (((((((((organization(X, T1) & organization(Y, T2)) & class(X, C, T1)) & class(Y, C, T2)) & size(X, S1, T1)) & size(Y, S2, T2)) & inertia(X, I1, T1)) & inertia(Y, I2, T2)) & greater(S2, S1)) <=> (organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & size(X, S1, T1) & size(Y, S2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & greater(S2, S1)))), ((((((((((organization(X, T1) & organization(Y, T2)) & class(X, C, T1)) & class(Y, C, T2)) & size(X, S1, T1)) & size(Y, S2, T2)) & inertia(X, I1, T1)) & inertia(Y, I2, T2)) & greater(S2, S1)) => greater(I2, I1)) <=> ((organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & size(X, S1, T1) & size(Y, S2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & greater(S2, S1)) => greater(I2, I1)))), rewrite(((organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & size(X, S1, T1) & size(Y, S2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & greater(S2, S1)) => greater(I2, I1)) <=> ((~(organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & size(X, S1, T1) & size(Y, S2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & greater(S2, S1))) | greater(I2, I1))), ((((((((((organization(X, T1) & organization(Y, T2)) & class(X, C, T1)) & class(Y, C, T2)) & size(X, S1, T1)) & size(Y, S2, T2)) & inertia(X, I1, T1)) & inertia(Y, I2, T2)) & greater(S2, S1)) => greater(I2, I1)) <=> ((~(organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & size(X, S1, T1) & size(Y, S2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & greater(S2, S1))) | greater(I2, I1))))),
% 0.14/0.42 inference(bind,[status(th)],[])).
% 0.14/0.42 tff(66,plain,
% 0.14/0.42 (![X: $i, Y: $i, C: $i, S1: $i, S2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (((((((((organization(X, T1) & organization(Y, T2)) & class(X, C, T1)) & class(Y, C, T2)) & size(X, S1, T1)) & size(Y, S2, T2)) & inertia(X, I1, T1)) & inertia(Y, I2, T2)) & greater(S2, S1)) => greater(I2, I1)) <=> ![X: $i, Y: $i, C: $i, S1: $i, S2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & size(X, S1, T1) & size(Y, S2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & greater(S2, S1))) | greater(I2, I1))),
% 0.14/0.42 inference(quant_intro,[status(thm)],[65])).
% 0.14/0.42 tff(67,axiom,(![X: $i, Y: $i, C: $i, S1: $i, S2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (((((((((organization(X, T1) & organization(Y, T2)) & class(X, C, T1)) & class(Y, C, T2)) & size(X, S1, T1)) & size(Y, S2, T2)) & inertia(X, I1, T1)) & inertia(Y, I2, T2)) & greater(S2, S1)) => greater(I2, I1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','a5_FOL')).
% 0.14/0.42 tff(68,plain,
% 0.14/0.42 (![X: $i, Y: $i, C: $i, S1: $i, S2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & size(X, S1, T1) & size(Y, S2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & greater(S2, S1))) | greater(I2, I1))),
% 0.14/0.42 inference(modus_ponens,[status(thm)],[67, 66])).
% 0.14/0.42 tff(69,plain,
% 0.14/0.42 (![X: $i, Y: $i, C: $i, S1: $i, S2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & size(X, S1, T1) & size(Y, S2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & greater(S2, S1))) | greater(I2, I1))),
% 0.14/0.42 inference(modus_ponens,[status(thm)],[68, 64])).
% 0.14/0.42 tff(70,plain,(
% 0.14/0.42 ![X: $i, Y: $i, C: $i, S1: $i, S2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & size(X, S1, T1) & size(Y, S2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & greater(S2, S1))) | greater(I2, I1))),
% 0.14/0.42 inference(skolemize,[status(sab)],[69])).
% 0.14/0.42 tff(71,plain,
% 0.14/0.42 (![X: $i, Y: $i, C: $i, S1: $i, S2: $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)) | (~size(X, S1, T1)) | (~size(Y, S2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(S2, S1)))),
% 0.14/0.42 inference(modus_ponens,[status(thm)],[70, 63])).
% 0.14/0.42 tff(72,plain,
% 0.14/0.42 (![X: $i, Y: $i, C: $i, S1: $i, S2: $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)) | (~size(X, S1, T1)) | (~size(Y, S2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(S2, S1)))),
% 0.14/0.42 inference(modus_ponens,[status(thm)],[71, 61])).
% 0.14/0.42 tff(73,plain,
% 0.14/0.42 (((~![X: $i, Y: $i, C: $i, S1: $i, S2: $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)) | (~size(X, S1, T1)) | (~size(Y, S2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(S2, S1)))) | ((~organization(X!9, T1!2)) | (~organization(Y!8, T2!1)) | (~inertia(X!9, tptp_fun_I_0(T1!2, X!9), T1!2)) | (~inertia(Y!8, tptp_fun_I_0(T2!1, Y!8), T2!1)) | greater(tptp_fun_I_0(T2!1, Y!8), tptp_fun_I_0(T1!2, X!9)) | (~class(X!9, C!7, T1!2)) | (~size(X!9, S1!4, T1!2)) | (~class(Y!8, C!7, T2!1)) | (~size(Y!8, S2!3, T2!1)) | (~greater(S2!3, S1!4)))) <=> ((~![X: $i, Y: $i, C: $i, S1: $i, S2: $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)) | (~size(X, S1, T1)) | (~size(Y, S2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(S2, S1)))) | (~organization(X!9, T1!2)) | (~organization(Y!8, T2!1)) | (~inertia(X!9, tptp_fun_I_0(T1!2, X!9), T1!2)) | (~inertia(Y!8, tptp_fun_I_0(T2!1, Y!8), T2!1)) | greater(tptp_fun_I_0(T2!1, Y!8), tptp_fun_I_0(T1!2, X!9)) | (~class(X!9, C!7, T1!2)) | (~size(X!9, S1!4, T1!2)) | (~class(Y!8, C!7, T2!1)) | (~size(Y!8, S2!3, T2!1)) | (~greater(S2!3, S1!4)))),
% 0.14/0.42 inference(rewrite,[status(thm)],[])).
% 0.14/0.42 tff(74,plain,
% 0.14/0.42 ((greater(tptp_fun_I_0(T2!1, Y!8), tptp_fun_I_0(T1!2, X!9)) | (~organization(X!9, T1!2)) | (~organization(Y!8, T2!1)) | (~class(X!9, C!7, T1!2)) | (~class(Y!8, C!7, T2!1)) | (~size(X!9, S1!4, T1!2)) | (~size(Y!8, S2!3, T2!1)) | (~inertia(X!9, tptp_fun_I_0(T1!2, X!9), T1!2)) | (~inertia(Y!8, tptp_fun_I_0(T2!1, Y!8), T2!1)) | (~greater(S2!3, S1!4))) <=> ((~organization(X!9, T1!2)) | (~organization(Y!8, T2!1)) | (~inertia(X!9, tptp_fun_I_0(T1!2, X!9), T1!2)) | (~inertia(Y!8, tptp_fun_I_0(T2!1, Y!8), T2!1)) | greater(tptp_fun_I_0(T2!1, Y!8), tptp_fun_I_0(T1!2, X!9)) | (~class(X!9, C!7, T1!2)) | (~size(X!9, S1!4, T1!2)) | (~class(Y!8, C!7, T2!1)) | (~size(Y!8, S2!3, T2!1)) | (~greater(S2!3, S1!4)))),
% 0.14/0.42 inference(rewrite,[status(thm)],[])).
% 0.14/0.42 tff(75,plain,
% 0.14/0.42 (((~![X: $i, Y: $i, C: $i, S1: $i, S2: $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)) | (~size(X, S1, T1)) | (~size(Y, S2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(S2, S1)))) | (greater(tptp_fun_I_0(T2!1, Y!8), tptp_fun_I_0(T1!2, X!9)) | (~organization(X!9, T1!2)) | (~organization(Y!8, T2!1)) | (~class(X!9, C!7, T1!2)) | (~class(Y!8, C!7, T2!1)) | (~size(X!9, S1!4, T1!2)) | (~size(Y!8, S2!3, T2!1)) | (~inertia(X!9, tptp_fun_I_0(T1!2, X!9), T1!2)) | (~inertia(Y!8, tptp_fun_I_0(T2!1, Y!8), T2!1)) | (~greater(S2!3, S1!4)))) <=> ((~![X: $i, Y: $i, C: $i, S1: $i, S2: $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)) | (~size(X, S1, T1)) | (~size(Y, S2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(S2, S1)))) | ((~organization(X!9, T1!2)) | (~organization(Y!8, T2!1)) | (~inertia(X!9, tptp_fun_I_0(T1!2, X!9), T1!2)) | (~inertia(Y!8, tptp_fun_I_0(T2!1, Y!8), T2!1)) | greater(tptp_fun_I_0(T2!1, Y!8), tptp_fun_I_0(T1!2, X!9)) | (~class(X!9, C!7, T1!2)) | (~size(X!9, S1!4, T1!2)) | (~class(Y!8, C!7, T2!1)) | (~size(Y!8, S2!3, T2!1)) | (~greater(S2!3, S1!4))))),
% 0.14/0.43 inference(monotonicity,[status(thm)],[74])).
% 0.14/0.43 tff(76,plain,
% 0.14/0.43 (((~![X: $i, Y: $i, C: $i, S1: $i, S2: $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)) | (~size(X, S1, T1)) | (~size(Y, S2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(S2, S1)))) | (greater(tptp_fun_I_0(T2!1, Y!8), tptp_fun_I_0(T1!2, X!9)) | (~organization(X!9, T1!2)) | (~organization(Y!8, T2!1)) | (~class(X!9, C!7, T1!2)) | (~class(Y!8, C!7, T2!1)) | (~size(X!9, S1!4, T1!2)) | (~size(Y!8, S2!3, T2!1)) | (~inertia(X!9, tptp_fun_I_0(T1!2, X!9), T1!2)) | (~inertia(Y!8, tptp_fun_I_0(T2!1, Y!8), T2!1)) | (~greater(S2!3, S1!4)))) <=> ((~![X: $i, Y: $i, C: $i, S1: $i, S2: $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)) | (~size(X, S1, T1)) | (~size(Y, S2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(S2, S1)))) | (~organization(X!9, T1!2)) | (~organization(Y!8, T2!1)) | (~inertia(X!9, tptp_fun_I_0(T1!2, X!9), T1!2)) | (~inertia(Y!8, tptp_fun_I_0(T2!1, Y!8), T2!1)) | greater(tptp_fun_I_0(T2!1, Y!8), tptp_fun_I_0(T1!2, X!9)) | (~class(X!9, C!7, T1!2)) | (~size(X!9, S1!4, T1!2)) | (~class(Y!8, C!7, T2!1)) | (~size(Y!8, S2!3, T2!1)) | (~greater(S2!3, S1!4)))),
% 0.14/0.43 inference(transitivity,[status(thm)],[75, 73])).
% 0.14/0.43 tff(77,plain,
% 0.14/0.43 ((~![X: $i, Y: $i, C: $i, S1: $i, S2: $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)) | (~size(X, S1, T1)) | (~size(Y, S2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(S2, S1)))) | (greater(tptp_fun_I_0(T2!1, Y!8), tptp_fun_I_0(T1!2, X!9)) | (~organization(X!9, T1!2)) | (~organization(Y!8, T2!1)) | (~class(X!9, C!7, T1!2)) | (~class(Y!8, C!7, T2!1)) | (~size(X!9, S1!4, T1!2)) | (~size(Y!8, S2!3, T2!1)) | (~inertia(X!9, tptp_fun_I_0(T1!2, X!9), T1!2)) | (~inertia(Y!8, tptp_fun_I_0(T2!1, Y!8), T2!1)) | (~greater(S2!3, S1!4)))),
% 0.14/0.43 inference(quant_inst,[status(thm)],[])).
% 0.14/0.43 tff(78,plain,
% 0.14/0.43 ((~![X: $i, Y: $i, C: $i, S1: $i, S2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~size(X, S1, T1)) | (~size(Y, S2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(S2, S1)))) | (~organization(X!9, T1!2)) | (~organization(Y!8, T2!1)) | (~inertia(X!9, tptp_fun_I_0(T1!2, X!9), T1!2)) | (~inertia(Y!8, tptp_fun_I_0(T2!1, Y!8), T2!1)) | greater(tptp_fun_I_0(T2!1, Y!8), tptp_fun_I_0(T1!2, X!9)) | (~class(X!9, C!7, T1!2)) | (~size(X!9, S1!4, T1!2)) | (~class(Y!8, C!7, T2!1)) | (~size(Y!8, S2!3, T2!1)) | (~greater(S2!3, S1!4))),
% 0.14/0.43 inference(modus_ponens,[status(thm)],[77, 76])).
% 0.14/0.43 tff(79,plain,
% 0.14/0.43 ($false),
% 0.14/0.43 inference(unit_resolution,[status(thm)],[78, 72, 25, 10, 59, 58, 57, 56, 55, 29, 24, 54])).
% 0.14/0.43 % SZS output end Proof
% 0.14/0.43 % E exiting
%------------------------------------------------------------------------------