TSTP Solution File: MGT012+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : MGT012+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 18 05:21:49 EDT 2022
% Result : Theorem 0.16s 0.36s
% Output : Proof 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : MGT012+1 : TPTP v8.1.0. Released v2.0.0.
% 0.00/0.11 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.11/0.31 % Computer : n002.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Fri Sep 2 02:50:16 EDT 2022
% 0.11/0.31 % CPUTime :
% 0.16/0.31 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.16/0.31 Usage: tptp [options] [-file:]file
% 0.16/0.31 -h, -? prints this message.
% 0.16/0.31 -smt2 print SMT-LIB2 benchmark.
% 0.16/0.31 -m, -model generate model.
% 0.16/0.31 -p, -proof generate proof.
% 0.16/0.31 -c, -core generate unsat core of named formulas.
% 0.16/0.31 -st, -statistics display statistics.
% 0.16/0.31 -t:timeout set timeout (in second).
% 0.16/0.31 -smt2status display status in smt2 format instead of SZS.
% 0.16/0.31 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.16/0.31 -<param>:<value> configuration parameter and value.
% 0.16/0.31 -o:<output-file> file to place output in.
% 0.16/0.36 % SZS status Theorem
% 0.16/0.36 % SZS output start Proof
% 0.16/0.36 tff(class_type, type, (
% 0.16/0.36 class: ( $i * $i * $i ) > $o)).
% 0.16/0.36 tff(tptp_fun_T1_3_type, type, (
% 0.16/0.36 tptp_fun_T1_3: $i)).
% 0.16/0.36 tff(tptp_fun_C_1_type, type, (
% 0.16/0.36 tptp_fun_C_1: ( $i * $i ) > $i)).
% 0.16/0.36 tff(tptp_fun_X_6_type, type, (
% 0.16/0.36 tptp_fun_X_6: $i)).
% 0.16/0.36 tff(tptp_fun_T2_2_type, type, (
% 0.16/0.36 tptp_fun_T2_2: $i)).
% 0.16/0.36 tff(organization_type, type, (
% 0.16/0.36 organization: ( $i * $i ) > $o)).
% 0.16/0.36 tff(greater_type, type, (
% 0.16/0.36 greater: ( $i * $i ) > $o)).
% 0.16/0.36 tff(complexity_type, type, (
% 0.16/0.36 complexity: ( $i * $i * $i ) > $o)).
% 0.16/0.36 tff(tptp_fun_C2_4_type, type, (
% 0.16/0.36 tptp_fun_C2_4: $i)).
% 0.16/0.36 tff(tptp_fun_C1_5_type, type, (
% 0.16/0.36 tptp_fun_C1_5: $i)).
% 0.16/0.36 tff(reorganization_free_type, type, (
% 0.16/0.36 reorganization_free: ( $i * $i * $i ) > $o)).
% 0.16/0.36 tff(tptp_fun_I_0_type, type, (
% 0.16/0.36 tptp_fun_I_0: ( $i * $i ) > $i)).
% 0.16/0.36 tff(inertia_type, type, (
% 0.16/0.36 inertia: ( $i * $i * $i ) > $o)).
% 0.16/0.36 tff(1,plain,
% 0.16/0.36 ((~![X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : ((~greater(C1, C2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2) & greater(T2, T1))))) <=> (~![X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : ((~greater(C1, C2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2) & greater(T2, T1)))))),
% 0.16/0.36 inference(rewrite,[status(thm)],[])).
% 0.16/0.36 tff(2,plain,
% 0.16/0.36 ((~![X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : ((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & complexity(X, C1, T1)) & complexity(X, C2, T2)) & greater(T2, T1)) => (~greater(C1, C2)))) <=> (~![X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : ((~greater(C1, C2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2) & greater(T2, T1)))))),
% 0.16/0.36 inference(rewrite,[status(thm)],[])).
% 0.16/0.36 tff(3,axiom,(~![X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : ((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & complexity(X, C1, T1)) & complexity(X, C2, T2)) & greater(T2, T1)) => (~greater(C1, C2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','t12_FOL')).
% 0.16/0.36 tff(4,plain,
% 0.16/0.36 (~![X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : ((~greater(C1, C2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2) & greater(T2, T1))))),
% 0.16/0.36 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.16/0.36 tff(5,plain,
% 0.16/0.36 (~![X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : ((~greater(C1, C2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2) & greater(T2, T1))))),
% 0.16/0.36 inference(modus_ponens,[status(thm)],[4, 1])).
% 0.16/0.36 tff(6,plain,
% 0.16/0.36 (~![X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : ((~greater(C1, C2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2) & greater(T2, T1))))),
% 0.16/0.36 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.16/0.36 tff(7,plain,
% 0.16/0.36 (~![X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : ((~greater(C1, C2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2) & greater(T2, T1))))),
% 0.16/0.36 inference(modus_ponens,[status(thm)],[6, 1])).
% 0.16/0.36 tff(8,plain,
% 0.16/0.36 (~![X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : ((~greater(C1, C2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2) & greater(T2, T1))))),
% 0.16/0.36 inference(modus_ponens,[status(thm)],[7, 1])).
% 0.16/0.36 tff(9,plain,
% 0.16/0.36 (~![X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : ((~greater(C1, C2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2) & greater(T2, T1))))),
% 0.16/0.36 inference(modus_ponens,[status(thm)],[8, 1])).
% 0.16/0.36 tff(10,plain,
% 0.16/0.36 (~![X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : ((~greater(C1, C2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2) & greater(T2, T1))))),
% 0.16/0.36 inference(modus_ponens,[status(thm)],[9, 1])).
% 0.16/0.36 tff(11,plain,(
% 0.16/0.36 ~((~greater(C1!5, C2!4)) | (~(organization(X!6, T1!3) & organization(X!6, T2!2) & reorganization_free(X!6, T1!3, T2!2) & complexity(X!6, C1!5, T1!3) & complexity(X!6, C2!4, T2!2) & greater(T2!2, T1!3))))),
% 0.16/0.36 inference(skolemize,[status(sab)],[10])).
% 0.16/0.36 tff(12,plain,
% 0.16/0.36 (organization(X!6, T1!3) & organization(X!6, T2!2) & reorganization_free(X!6, T1!3, T2!2) & complexity(X!6, C1!5, T1!3) & complexity(X!6, C2!4, T2!2) & greater(T2!2, T1!3)),
% 0.16/0.36 inference(or_elim,[status(thm)],[11])).
% 0.16/0.36 tff(13,plain,
% 0.16/0.36 (organization(X!6, T2!2)),
% 0.16/0.36 inference(and_elim,[status(thm)],[12])).
% 0.16/0.36 tff(14,plain,
% 0.16/0.36 (^[X: $i, T: $i] : refl(((~organization(X, T)) | class(X, tptp_fun_C_1(T, X), T)) <=> ((~organization(X, T)) | class(X, tptp_fun_C_1(T, X), T)))),
% 0.16/0.36 inference(bind,[status(th)],[])).
% 0.16/0.36 tff(15,plain,
% 0.16/0.36 (![X: $i, T: $i] : ((~organization(X, T)) | class(X, tptp_fun_C_1(T, X), T)) <=> ![X: $i, T: $i] : ((~organization(X, T)) | class(X, tptp_fun_C_1(T, X), T))),
% 0.16/0.36 inference(quant_intro,[status(thm)],[14])).
% 0.16/0.36 tff(16,plain,
% 0.16/0.36 (![X: $i, T: $i] : ((~organization(X, T)) | ?[C: $i] : class(X, C, T)) <=> ![X: $i, T: $i] : ((~organization(X, T)) | ?[C: $i] : class(X, C, T))),
% 0.16/0.36 inference(rewrite,[status(thm)],[])).
% 0.16/0.36 tff(17,plain,
% 0.16/0.36 (^[X: $i, T: $i] : rewrite((organization(X, T) => ?[C: $i] : class(X, C, T)) <=> ((~organization(X, T)) | ?[C: $i] : class(X, C, T)))),
% 0.16/0.36 inference(bind,[status(th)],[])).
% 0.16/0.36 tff(18,plain,
% 0.16/0.36 (![X: $i, T: $i] : (organization(X, T) => ?[C: $i] : class(X, C, T)) <=> ![X: $i, T: $i] : ((~organization(X, T)) | ?[C: $i] : class(X, C, T))),
% 0.16/0.36 inference(quant_intro,[status(thm)],[17])).
% 0.16/0.36 tff(19,axiom,(![X: $i, T: $i] : (organization(X, T) => ?[C: $i] : class(X, C, T))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp9')).
% 0.16/0.36 tff(20,plain,
% 0.16/0.36 (![X: $i, T: $i] : ((~organization(X, T)) | ?[C: $i] : class(X, C, T))),
% 0.16/0.36 inference(modus_ponens,[status(thm)],[19, 18])).
% 0.16/0.36 tff(21,plain,
% 0.16/0.36 (![X: $i, T: $i] : ((~organization(X, T)) | ?[C: $i] : class(X, C, T))),
% 0.16/0.36 inference(modus_ponens,[status(thm)],[20, 16])).
% 0.16/0.36 tff(22,plain,(
% 0.16/0.36 ![X: $i, T: $i] : ((~organization(X, T)) | class(X, tptp_fun_C_1(T, X), T))),
% 0.16/0.36 inference(skolemize,[status(sab)],[21])).
% 0.16/0.36 tff(23,plain,
% 0.16/0.36 (![X: $i, T: $i] : ((~organization(X, T)) | class(X, tptp_fun_C_1(T, X), T))),
% 0.16/0.36 inference(modus_ponens,[status(thm)],[22, 15])).
% 0.16/0.36 tff(24,plain,
% 0.16/0.36 (((~![X: $i, T: $i] : ((~organization(X, T)) | class(X, tptp_fun_C_1(T, X), T))) | ((~organization(X!6, T2!2)) | class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2))) <=> ((~![X: $i, T: $i] : ((~organization(X, T)) | class(X, tptp_fun_C_1(T, X), T))) | (~organization(X!6, T2!2)) | class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2))),
% 0.16/0.36 inference(rewrite,[status(thm)],[])).
% 0.16/0.36 tff(25,plain,
% 0.16/0.36 ((~![X: $i, T: $i] : ((~organization(X, T)) | class(X, tptp_fun_C_1(T, X), T))) | ((~organization(X!6, T2!2)) | class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2))),
% 0.16/0.36 inference(quant_inst,[status(thm)],[])).
% 0.16/0.36 tff(26,plain,
% 0.16/0.36 ((~![X: $i, T: $i] : ((~organization(X, T)) | class(X, tptp_fun_C_1(T, X), T))) | (~organization(X!6, T2!2)) | class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2)),
% 0.16/0.36 inference(modus_ponens,[status(thm)],[25, 24])).
% 0.16/0.36 tff(27,plain,
% 0.16/0.36 (class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2)),
% 0.16/0.36 inference(unit_resolution,[status(thm)],[26, 23, 13])).
% 0.16/0.36 tff(28,plain,
% 0.16/0.36 (organization(X!6, T1!3)),
% 0.16/0.36 inference(and_elim,[status(thm)],[12])).
% 0.16/0.36 tff(29,plain,
% 0.16/0.36 (((~![X: $i, T: $i] : ((~organization(X, T)) | class(X, tptp_fun_C_1(T, X), T))) | ((~organization(X!6, T1!3)) | class(X!6, tptp_fun_C_1(T1!3, X!6), T1!3))) <=> ((~![X: $i, T: $i] : ((~organization(X, T)) | class(X, tptp_fun_C_1(T, X), T))) | (~organization(X!6, T1!3)) | class(X!6, tptp_fun_C_1(T1!3, X!6), T1!3))),
% 0.16/0.36 inference(rewrite,[status(thm)],[])).
% 0.16/0.36 tff(30,plain,
% 0.16/0.36 ((~![X: $i, T: $i] : ((~organization(X, T)) | class(X, tptp_fun_C_1(T, X), T))) | ((~organization(X!6, T1!3)) | class(X!6, tptp_fun_C_1(T1!3, X!6), T1!3))),
% 0.16/0.36 inference(quant_inst,[status(thm)],[])).
% 0.16/0.36 tff(31,plain,
% 0.16/0.36 ((~![X: $i, T: $i] : ((~organization(X, T)) | class(X, tptp_fun_C_1(T, X), T))) | (~organization(X!6, T1!3)) | class(X!6, tptp_fun_C_1(T1!3, X!6), T1!3)),
% 0.16/0.36 inference(modus_ponens,[status(thm)],[30, 29])).
% 0.16/0.36 tff(32,plain,
% 0.16/0.36 (class(X!6, tptp_fun_C_1(T1!3, X!6), T1!3)),
% 0.16/0.36 inference(unit_resolution,[status(thm)],[31, 23, 28])).
% 0.16/0.36 tff(33,plain,
% 0.16/0.36 (reorganization_free(X!6, T1!3, T2!2)),
% 0.16/0.36 inference(and_elim,[status(thm)],[12])).
% 0.16/0.36 tff(34,plain,
% 0.16/0.36 (^[X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : refl(((C1 = C2) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~class(X, C1, T1)) | (~class(X, C2, T2))) <=> ((C1 = C2) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~class(X, C1, T1)) | (~class(X, C2, T2))))),
% 0.16/0.36 inference(bind,[status(th)],[])).
% 0.16/0.36 tff(35,plain,
% 0.16/0.36 (![X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : ((C1 = C2) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~class(X, C1, T1)) | (~class(X, C2, T2))) <=> ![X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : ((C1 = C2) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~class(X, C1, T1)) | (~class(X, C2, T2)))),
% 0.16/0.36 inference(quant_intro,[status(thm)],[34])).
% 0.16/0.36 tff(36,plain,
% 0.16/0.36 (^[X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & class(X, C1, T1) & class(X, C2, T2)) <=> (~((~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~class(X, C1, T1)) | (~class(X, C2, T2))))), ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & class(X, C1, T1) & class(X, C2, T2))) <=> (~(~((~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~class(X, C1, T1)) | (~class(X, C2, T2))))))), rewrite((~(~((~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~class(X, C1, T1)) | (~class(X, C2, T2))))) <=> ((~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~class(X, C1, T1)) | (~class(X, C2, T2)))), ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & class(X, C1, T1) & class(X, C2, T2))) <=> ((~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~class(X, C1, T1)) | (~class(X, C2, T2))))), (((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & class(X, C1, T1) & class(X, C2, T2))) | (C1 = C2)) <=> (((~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~class(X, C1, T1)) | (~class(X, C2, T2))) | (C1 = C2)))), rewrite((((~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~class(X, C1, T1)) | (~class(X, C2, T2))) | (C1 = C2)) <=> ((C1 = C2) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~class(X, C1, T1)) | (~class(X, C2, T2)))), (((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & class(X, C1, T1) & class(X, C2, T2))) | (C1 = C2)) <=> ((C1 = C2) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~class(X, C1, T1)) | (~class(X, C2, T2)))))),
% 0.16/0.36 inference(bind,[status(th)],[])).
% 0.16/0.36 tff(37,plain,
% 0.16/0.36 (![X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & class(X, C1, T1) & class(X, C2, T2))) | (C1 = C2)) <=> ![X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : ((C1 = C2) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~class(X, C1, T1)) | (~class(X, C2, T2)))),
% 0.16/0.36 inference(quant_intro,[status(thm)],[36])).
% 0.16/0.36 tff(38,plain,
% 0.16/0.36 (![X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & class(X, C1, T1) & class(X, C2, T2))) | (C1 = C2)) <=> ![X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & class(X, C1, T1) & class(X, C2, T2))) | (C1 = C2))),
% 0.16/0.37 inference(rewrite,[status(thm)],[])).
% 0.16/0.37 tff(39,plain,
% 0.16/0.37 (^[X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2))), ((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & class(X, C1, T1)) <=> ((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2)) & class(X, C1, T1)))), rewrite(((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2)) & class(X, C1, T1)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & class(X, C1, T1))), ((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & class(X, C1, T1)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & class(X, C1, T1)))), (((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & class(X, C1, T1)) & class(X, C2, T2)) <=> ((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & class(X, C1, T1)) & class(X, C2, T2)))), rewrite(((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & class(X, C1, T1)) & class(X, C2, T2)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & class(X, C1, T1) & class(X, C2, T2))), (((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & class(X, C1, T1)) & class(X, C2, T2)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & class(X, C1, T1) & class(X, C2, T2)))), ((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & class(X, C1, T1)) & class(X, C2, T2)) => (C1 = C2)) <=> ((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & class(X, C1, T1) & class(X, C2, T2)) => (C1 = C2)))), rewrite(((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & class(X, C1, T1) & class(X, C2, T2)) => (C1 = C2)) <=> ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & class(X, C1, T1) & class(X, C2, T2))) | (C1 = C2))), ((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & class(X, C1, T1)) & class(X, C2, T2)) => (C1 = C2)) <=> ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & class(X, C1, T1) & class(X, C2, T2))) | (C1 = C2))))),
% 0.16/0.37 inference(bind,[status(th)],[])).
% 0.16/0.37 tff(40,plain,
% 0.16/0.37 (![X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : (((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & class(X, C1, T1)) & class(X, C2, T2)) => (C1 = C2)) <=> ![X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & class(X, C1, T1) & class(X, C2, T2))) | (C1 = C2))),
% 0.16/0.37 inference(quant_intro,[status(thm)],[39])).
% 0.16/0.37 tff(41,axiom,(![X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : (((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & class(X, C1, T1)) & class(X, C2, T2)) => (C1 = C2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp10')).
% 0.16/0.37 tff(42,plain,
% 0.16/0.37 (![X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & class(X, C1, T1) & class(X, C2, T2))) | (C1 = C2))),
% 0.16/0.37 inference(modus_ponens,[status(thm)],[41, 40])).
% 0.16/0.37 tff(43,plain,
% 0.16/0.37 (![X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & class(X, C1, T1) & class(X, C2, T2))) | (C1 = C2))),
% 0.16/0.37 inference(modus_ponens,[status(thm)],[42, 38])).
% 0.16/0.37 tff(44,plain,(
% 0.16/0.37 ![X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & class(X, C1, T1) & class(X, C2, T2))) | (C1 = C2))),
% 0.16/0.37 inference(skolemize,[status(sab)],[43])).
% 0.16/0.37 tff(45,plain,
% 0.16/0.37 (![X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : ((C1 = C2) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~class(X, C1, T1)) | (~class(X, C2, T2)))),
% 0.16/0.37 inference(modus_ponens,[status(thm)],[44, 37])).
% 0.16/0.37 tff(46,plain,
% 0.16/0.37 (![X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : ((C1 = C2) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~class(X, C1, T1)) | (~class(X, C2, T2)))),
% 0.16/0.37 inference(modus_ponens,[status(thm)],[45, 35])).
% 0.16/0.37 tff(47,plain,
% 0.16/0.37 (((~![X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : ((C1 = C2) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~class(X, C1, T1)) | (~class(X, C2, T2)))) | ((~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~reorganization_free(X!6, T1!3, T2!2)) | (~class(X!6, tptp_fun_C_1(T1!3, X!6), T1!3)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2)) | (tptp_fun_C_1(T1!3, X!6) = tptp_fun_C_1(T2!2, X!6)))) <=> ((~![X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : ((C1 = C2) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~class(X, C1, T1)) | (~class(X, C2, T2)))) | (~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~reorganization_free(X!6, T1!3, T2!2)) | (~class(X!6, tptp_fun_C_1(T1!3, X!6), T1!3)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2)) | (tptp_fun_C_1(T1!3, X!6) = tptp_fun_C_1(T2!2, X!6)))),
% 0.16/0.37 inference(rewrite,[status(thm)],[])).
% 0.16/0.37 tff(48,plain,
% 0.16/0.37 (((tptp_fun_C_1(T1!3, X!6) = tptp_fun_C_1(T2!2, X!6)) | (~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~reorganization_free(X!6, T1!3, T2!2)) | (~class(X!6, tptp_fun_C_1(T1!3, X!6), T1!3)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2))) <=> ((~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~reorganization_free(X!6, T1!3, T2!2)) | (~class(X!6, tptp_fun_C_1(T1!3, X!6), T1!3)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2)) | (tptp_fun_C_1(T1!3, X!6) = tptp_fun_C_1(T2!2, X!6)))),
% 0.16/0.37 inference(rewrite,[status(thm)],[])).
% 0.16/0.37 tff(49,plain,
% 0.16/0.37 (((~![X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : ((C1 = C2) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~class(X, C1, T1)) | (~class(X, C2, T2)))) | ((tptp_fun_C_1(T1!3, X!6) = tptp_fun_C_1(T2!2, X!6)) | (~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~reorganization_free(X!6, T1!3, T2!2)) | (~class(X!6, tptp_fun_C_1(T1!3, X!6), T1!3)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2)))) <=> ((~![X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : ((C1 = C2) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~class(X, C1, T1)) | (~class(X, C2, T2)))) | ((~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~reorganization_free(X!6, T1!3, T2!2)) | (~class(X!6, tptp_fun_C_1(T1!3, X!6), T1!3)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2)) | (tptp_fun_C_1(T1!3, X!6) = tptp_fun_C_1(T2!2, X!6))))),
% 0.16/0.37 inference(monotonicity,[status(thm)],[48])).
% 0.16/0.37 tff(50,plain,
% 0.16/0.37 (((~![X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : ((C1 = C2) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~class(X, C1, T1)) | (~class(X, C2, T2)))) | ((tptp_fun_C_1(T1!3, X!6) = tptp_fun_C_1(T2!2, X!6)) | (~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~reorganization_free(X!6, T1!3, T2!2)) | (~class(X!6, tptp_fun_C_1(T1!3, X!6), T1!3)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2)))) <=> ((~![X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : ((C1 = C2) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~class(X, C1, T1)) | (~class(X, C2, T2)))) | (~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~reorganization_free(X!6, T1!3, T2!2)) | (~class(X!6, tptp_fun_C_1(T1!3, X!6), T1!3)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2)) | (tptp_fun_C_1(T1!3, X!6) = tptp_fun_C_1(T2!2, X!6)))),
% 0.16/0.37 inference(transitivity,[status(thm)],[49, 47])).
% 0.16/0.37 tff(51,plain,
% 0.16/0.37 ((~![X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : ((C1 = C2) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~class(X, C1, T1)) | (~class(X, C2, T2)))) | ((tptp_fun_C_1(T1!3, X!6) = tptp_fun_C_1(T2!2, X!6)) | (~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~reorganization_free(X!6, T1!3, T2!2)) | (~class(X!6, tptp_fun_C_1(T1!3, X!6), T1!3)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2)))),
% 0.16/0.37 inference(quant_inst,[status(thm)],[])).
% 0.16/0.37 tff(52,plain,
% 0.16/0.37 ((~![X: $i, T1: $i, T2: $i, C1: $i, C2: $i] : ((C1 = C2) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~class(X, C1, T1)) | (~class(X, C2, T2)))) | (~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~reorganization_free(X!6, T1!3, T2!2)) | (~class(X!6, tptp_fun_C_1(T1!3, X!6), T1!3)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2)) | (tptp_fun_C_1(T1!3, X!6) = tptp_fun_C_1(T2!2, X!6))),
% 0.16/0.37 inference(modus_ponens,[status(thm)],[51, 50])).
% 0.16/0.37 tff(53,plain,
% 0.16/0.37 (tptp_fun_C_1(T1!3, X!6) = tptp_fun_C_1(T2!2, X!6)),
% 0.16/0.37 inference(unit_resolution,[status(thm)],[52, 46, 28, 13, 33, 32, 27])).
% 0.16/0.37 tff(54,plain,
% 0.16/0.37 (tptp_fun_C_1(T2!2, X!6) = tptp_fun_C_1(T1!3, X!6)),
% 0.16/0.37 inference(symmetry,[status(thm)],[53])).
% 0.16/0.37 tff(55,plain,
% 0.16/0.37 (class(X!6, tptp_fun_C_1(T2!2, X!6), T1!3) <=> class(X!6, tptp_fun_C_1(T1!3, X!6), T1!3)),
% 0.16/0.37 inference(monotonicity,[status(thm)],[54])).
% 0.16/0.37 tff(56,plain,
% 0.16/0.37 (class(X!6, tptp_fun_C_1(T1!3, X!6), T1!3) <=> class(X!6, tptp_fun_C_1(T2!2, X!6), T1!3)),
% 0.16/0.37 inference(symmetry,[status(thm)],[55])).
% 0.16/0.37 tff(57,plain,
% 0.16/0.37 (class(X!6, tptp_fun_C_1(T2!2, X!6), T1!3)),
% 0.16/0.37 inference(modus_ponens,[status(thm)],[32, 56])).
% 0.16/0.37 tff(58,plain,
% 0.16/0.37 (^[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)))),
% 0.16/0.37 inference(bind,[status(th)],[])).
% 0.16/0.37 tff(59,plain,
% 0.16/0.37 (![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))),
% 0.16/0.37 inference(quant_intro,[status(thm)],[58])).
% 0.16/0.37 tff(60,plain,
% 0.16/0.37 (![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))),
% 0.16/0.37 inference(rewrite,[status(thm)],[])).
% 0.16/0.37 tff(61,plain,
% 0.16/0.37 (^[X: $i, T: $i] : rewrite((organization(X, T) => ?[I: $i] : inertia(X, I, T)) <=> ((~organization(X, T)) | ?[I: $i] : inertia(X, I, T)))),
% 0.16/0.37 inference(bind,[status(th)],[])).
% 0.16/0.37 tff(62,plain,
% 0.16/0.37 (![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))),
% 0.16/0.37 inference(quant_intro,[status(thm)],[61])).
% 0.16/0.37 tff(63,axiom,(![X: $i, T: $i] : (organization(X, T) => ?[I: $i] : inertia(X, I, T))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp5')).
% 0.16/0.37 tff(64,plain,
% 0.16/0.37 (![X: $i, T: $i] : ((~organization(X, T)) | ?[I: $i] : inertia(X, I, T))),
% 0.16/0.37 inference(modus_ponens,[status(thm)],[63, 62])).
% 0.16/0.37 tff(65,plain,
% 0.16/0.37 (![X: $i, T: $i] : ((~organization(X, T)) | ?[I: $i] : inertia(X, I, T))),
% 0.16/0.37 inference(modus_ponens,[status(thm)],[64, 60])).
% 0.16/0.37 tff(66,plain,(
% 0.16/0.37 ![X: $i, T: $i] : ((~organization(X, T)) | inertia(X, tptp_fun_I_0(T, X), T))),
% 0.16/0.37 inference(skolemize,[status(sab)],[65])).
% 0.16/0.37 tff(67,plain,
% 0.16/0.37 (![X: $i, T: $i] : ((~organization(X, T)) | inertia(X, tptp_fun_I_0(T, X), T))),
% 0.16/0.37 inference(modus_ponens,[status(thm)],[66, 59])).
% 0.16/0.37 tff(68,plain,
% 0.16/0.37 (((~![X: $i, T: $i] : ((~organization(X, T)) | inertia(X, tptp_fun_I_0(T, X), T))) | ((~organization(X!6, T2!2)) | inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2))) <=> ((~![X: $i, T: $i] : ((~organization(X, T)) | inertia(X, tptp_fun_I_0(T, X), T))) | (~organization(X!6, T2!2)) | inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2))),
% 0.16/0.37 inference(rewrite,[status(thm)],[])).
% 0.16/0.37 tff(69,plain,
% 0.16/0.37 ((~![X: $i, T: $i] : ((~organization(X, T)) | inertia(X, tptp_fun_I_0(T, X), T))) | ((~organization(X!6, T2!2)) | inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2))),
% 0.16/0.37 inference(quant_inst,[status(thm)],[])).
% 0.16/0.37 tff(70,plain,
% 0.16/0.37 ((~![X: $i, T: $i] : ((~organization(X, T)) | inertia(X, tptp_fun_I_0(T, X), T))) | (~organization(X!6, T2!2)) | inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2)),
% 0.16/0.37 inference(modus_ponens,[status(thm)],[69, 68])).
% 0.16/0.37 tff(71,plain,
% 0.16/0.37 (inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2)),
% 0.16/0.37 inference(unit_resolution,[status(thm)],[70, 67, 13])).
% 0.16/0.37 tff(72,plain,
% 0.16/0.37 (((~![X: $i, T: $i] : ((~organization(X, T)) | inertia(X, tptp_fun_I_0(T, X), T))) | ((~organization(X!6, T1!3)) | inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3))) <=> ((~![X: $i, T: $i] : ((~organization(X, T)) | inertia(X, tptp_fun_I_0(T, X), T))) | (~organization(X!6, T1!3)) | inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3))),
% 0.16/0.37 inference(rewrite,[status(thm)],[])).
% 0.16/0.37 tff(73,plain,
% 0.16/0.37 ((~![X: $i, T: $i] : ((~organization(X, T)) | inertia(X, tptp_fun_I_0(T, X), T))) | ((~organization(X!6, T1!3)) | inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3))),
% 0.16/0.37 inference(quant_inst,[status(thm)],[])).
% 0.16/0.37 tff(74,plain,
% 0.16/0.37 ((~![X: $i, T: $i] : ((~organization(X, T)) | inertia(X, tptp_fun_I_0(T, X), T))) | (~organization(X!6, T1!3)) | inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3)),
% 0.16/0.37 inference(modus_ponens,[status(thm)],[73, 72])).
% 0.16/0.37 tff(75,plain,
% 0.16/0.37 (inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3)),
% 0.16/0.37 inference(unit_resolution,[status(thm)],[74, 67, 28])).
% 0.16/0.37 tff(76,plain,
% 0.16/0.37 (greater(T2!2, T1!3)),
% 0.16/0.37 inference(and_elim,[status(thm)],[12])).
% 0.16/0.37 tff(77,plain,
% 0.16/0.37 (^[X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : refl((greater(I2, I1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~inertia(X, I1, T1)) | (~inertia(X, I2, T2))) <=> (greater(I2, I1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~inertia(X, I1, T1)) | (~inertia(X, I2, T2))))),
% 0.16/0.37 inference(bind,[status(th)],[])).
% 0.16/0.37 tff(78,plain,
% 0.16/0.37 (![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~inertia(X, I1, T1)) | (~inertia(X, I2, T2))) <=> ![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~inertia(X, I1, T1)) | (~inertia(X, I2, T2)))),
% 0.16/0.37 inference(quant_intro,[status(thm)],[77])).
% 0.16/0.37 tff(79,plain,
% 0.16/0.37 (^[X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2) & greater(T2, T1)) <=> (~((~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~inertia(X, I1, T1)) | (~inertia(X, I2, T2))))), ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2) & greater(T2, T1))) <=> (~(~((~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~inertia(X, I1, T1)) | (~inertia(X, I2, T2))))))), rewrite((~(~((~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~inertia(X, I1, T1)) | (~inertia(X, I2, T2))))) <=> ((~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~inertia(X, I1, T1)) | (~inertia(X, I2, T2)))), ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2) & greater(T2, T1))) <=> ((~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~inertia(X, I1, T1)) | (~inertia(X, I2, T2))))), (((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2) & greater(T2, T1))) | greater(I2, I1)) <=> (((~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~inertia(X, I1, T1)) | (~inertia(X, I2, T2))) | greater(I2, I1)))), rewrite((((~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~inertia(X, I1, T1)) | (~inertia(X, I2, T2))) | greater(I2, I1)) <=> (greater(I2, I1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~inertia(X, I1, T1)) | (~inertia(X, I2, T2)))), (((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2) & greater(T2, T1))) | greater(I2, I1)) <=> (greater(I2, I1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~inertia(X, I1, T1)) | (~inertia(X, I2, T2)))))),
% 0.16/0.37 inference(bind,[status(th)],[])).
% 0.16/0.37 tff(80,plain,
% 0.16/0.37 (![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2) & greater(T2, T1))) | greater(I2, I1)) <=> ![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~inertia(X, I1, T1)) | (~inertia(X, I2, T2)))),
% 0.16/0.37 inference(quant_intro,[status(thm)],[79])).
% 0.16/0.37 tff(81,plain,
% 0.16/0.37 (![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2) & greater(T2, T1))) | greater(I2, I1)) <=> ![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2) & greater(T2, T1))) | greater(I2, I1))),
% 0.16/0.37 inference(rewrite,[status(thm)],[])).
% 0.16/0.37 tff(82,plain,
% 0.16/0.37 (^[X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2))), ((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & inertia(X, I1, T1)) <=> ((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2)) & inertia(X, I1, T1)))), rewrite(((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2)) & inertia(X, I1, T1)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1))), ((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & inertia(X, I1, T1)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1)))), (((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & inertia(X, I1, T1)) & inertia(X, I2, T2)) <=> ((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1)) & inertia(X, I2, T2)))), rewrite(((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1)) & inertia(X, I2, T2)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2))), (((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & inertia(X, I1, T1)) & inertia(X, I2, T2)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2)))), ((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & inertia(X, I1, T1)) & inertia(X, I2, T2)) & greater(T2, T1)) <=> ((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2)) & greater(T2, T1)))), rewrite(((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2)) & greater(T2, T1)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2) & greater(T2, T1))), ((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & inertia(X, I1, T1)) & inertia(X, I2, T2)) & greater(T2, T1)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2) & greater(T2, T1)))), (((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & inertia(X, I1, T1)) & inertia(X, I2, T2)) & greater(T2, T1)) => greater(I2, I1)) <=> ((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2) & greater(T2, T1)) => greater(I2, I1)))), rewrite(((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2) & greater(T2, T1)) => greater(I2, I1)) <=> ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2) & greater(T2, T1))) | greater(I2, I1))), (((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & inertia(X, I1, T1)) & inertia(X, I2, T2)) & greater(T2, T1)) => greater(I2, I1)) <=> ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2) & greater(T2, T1))) | greater(I2, I1))))),
% 0.16/0.38 inference(bind,[status(th)],[])).
% 0.16/0.38 tff(83,plain,
% 0.16/0.38 (![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : ((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & inertia(X, I1, T1)) & inertia(X, I2, T2)) & greater(T2, T1)) => greater(I2, I1)) <=> ![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2) & greater(T2, T1))) | greater(I2, I1))),
% 0.16/0.38 inference(quant_intro,[status(thm)],[82])).
% 0.16/0.38 tff(84,axiom,(![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : ((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & inertia(X, I1, T1)) & inertia(X, I2, T2)) & greater(T2, T1)) => greater(I2, I1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','t2_FOL')).
% 0.16/0.38 tff(85,plain,
% 0.16/0.38 (![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2) & greater(T2, T1))) | greater(I2, I1))),
% 0.16/0.38 inference(modus_ponens,[status(thm)],[84, 83])).
% 0.16/0.38 tff(86,plain,
% 0.16/0.38 (![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2) & greater(T2, T1))) | greater(I2, I1))),
% 0.16/0.38 inference(modus_ponens,[status(thm)],[85, 81])).
% 0.16/0.38 tff(87,plain,(
% 0.16/0.38 ![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2) & greater(T2, T1))) | greater(I2, I1))),
% 0.16/0.38 inference(skolemize,[status(sab)],[86])).
% 0.16/0.38 tff(88,plain,
% 0.16/0.38 (![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~inertia(X, I1, T1)) | (~inertia(X, I2, T2)))),
% 0.16/0.38 inference(modus_ponens,[status(thm)],[87, 80])).
% 0.16/0.38 tff(89,plain,
% 0.16/0.38 (![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~inertia(X, I1, T1)) | (~inertia(X, I2, T2)))),
% 0.16/0.38 inference(modus_ponens,[status(thm)],[88, 78])).
% 0.16/0.38 tff(90,plain,
% 0.16/0.38 (((~![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~inertia(X, I1, T1)) | (~inertia(X, I2, T2)))) | ((~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~greater(T2!2, T1!3)) | greater(tptp_fun_I_0(T2!2, X!6), tptp_fun_I_0(T1!3, X!6)) | (~reorganization_free(X!6, T1!3, T2!2)) | (~inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3)) | (~inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2)))) <=> ((~![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~inertia(X, I1, T1)) | (~inertia(X, I2, T2)))) | (~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~greater(T2!2, T1!3)) | greater(tptp_fun_I_0(T2!2, X!6), tptp_fun_I_0(T1!3, X!6)) | (~reorganization_free(X!6, T1!3, T2!2)) | (~inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3)) | (~inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2)))),
% 0.16/0.38 inference(rewrite,[status(thm)],[])).
% 0.16/0.38 tff(91,plain,
% 0.16/0.38 ((greater(tptp_fun_I_0(T2!2, X!6), tptp_fun_I_0(T1!3, X!6)) | (~greater(T2!2, T1!3)) | (~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~reorganization_free(X!6, T1!3, T2!2)) | (~inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3)) | (~inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2))) <=> ((~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~greater(T2!2, T1!3)) | greater(tptp_fun_I_0(T2!2, X!6), tptp_fun_I_0(T1!3, X!6)) | (~reorganization_free(X!6, T1!3, T2!2)) | (~inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3)) | (~inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2)))),
% 0.16/0.38 inference(rewrite,[status(thm)],[])).
% 0.16/0.38 tff(92,plain,
% 0.16/0.38 (((~![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~inertia(X, I1, T1)) | (~inertia(X, I2, T2)))) | (greater(tptp_fun_I_0(T2!2, X!6), tptp_fun_I_0(T1!3, X!6)) | (~greater(T2!2, T1!3)) | (~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~reorganization_free(X!6, T1!3, T2!2)) | (~inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3)) | (~inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2)))) <=> ((~![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~inertia(X, I1, T1)) | (~inertia(X, I2, T2)))) | ((~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~greater(T2!2, T1!3)) | greater(tptp_fun_I_0(T2!2, X!6), tptp_fun_I_0(T1!3, X!6)) | (~reorganization_free(X!6, T1!3, T2!2)) | (~inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3)) | (~inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2))))),
% 0.16/0.38 inference(monotonicity,[status(thm)],[91])).
% 0.16/0.38 tff(93,plain,
% 0.16/0.38 (((~![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~inertia(X, I1, T1)) | (~inertia(X, I2, T2)))) | (greater(tptp_fun_I_0(T2!2, X!6), tptp_fun_I_0(T1!3, X!6)) | (~greater(T2!2, T1!3)) | (~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~reorganization_free(X!6, T1!3, T2!2)) | (~inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3)) | (~inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2)))) <=> ((~![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~inertia(X, I1, T1)) | (~inertia(X, I2, T2)))) | (~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~greater(T2!2, T1!3)) | greater(tptp_fun_I_0(T2!2, X!6), tptp_fun_I_0(T1!3, X!6)) | (~reorganization_free(X!6, T1!3, T2!2)) | (~inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3)) | (~inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2)))),
% 0.16/0.38 inference(transitivity,[status(thm)],[92, 90])).
% 0.16/0.38 tff(94,plain,
% 0.16/0.38 ((~![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~inertia(X, I1, T1)) | (~inertia(X, I2, T2)))) | (greater(tptp_fun_I_0(T2!2, X!6), tptp_fun_I_0(T1!3, X!6)) | (~greater(T2!2, T1!3)) | (~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~reorganization_free(X!6, T1!3, T2!2)) | (~inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3)) | (~inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2)))),
% 0.16/0.38 inference(quant_inst,[status(thm)],[])).
% 0.16/0.38 tff(95,plain,
% 0.16/0.38 ((~![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~inertia(X, I1, T1)) | (~inertia(X, I2, T2)))) | (~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~greater(T2!2, T1!3)) | greater(tptp_fun_I_0(T2!2, X!6), tptp_fun_I_0(T1!3, X!6)) | (~reorganization_free(X!6, T1!3, T2!2)) | (~inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3)) | (~inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2))),
% 0.16/0.38 inference(modus_ponens,[status(thm)],[94, 93])).
% 0.16/0.38 tff(96,plain,
% 0.16/0.38 (greater(tptp_fun_I_0(T2!2, X!6), tptp_fun_I_0(T1!3, X!6))),
% 0.16/0.38 inference(unit_resolution,[status(thm)],[95, 89, 28, 13, 33, 76, 75, 71])).
% 0.16/0.38 tff(97,plain,
% 0.16/0.38 (^[X: $i, Y: $i] : refl(((~greater(X, Y)) | (~greater(Y, X))) <=> ((~greater(X, Y)) | (~greater(Y, X))))),
% 0.16/0.38 inference(bind,[status(th)],[])).
% 0.16/0.38 tff(98,plain,
% 0.16/0.38 (![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X))) <=> ![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))),
% 0.16/0.38 inference(quant_intro,[status(thm)],[97])).
% 0.16/0.38 tff(99,plain,
% 0.16/0.38 (^[X: $i, Y: $i] : trans(monotonicity(rewrite((greater(X, Y) & greater(Y, X)) <=> (~((~greater(X, Y)) | (~greater(Y, X))))), ((~(greater(X, Y) & greater(Y, X))) <=> (~(~((~greater(X, Y)) | (~greater(Y, X))))))), rewrite((~(~((~greater(X, Y)) | (~greater(Y, X))))) <=> ((~greater(X, Y)) | (~greater(Y, X)))), ((~(greater(X, Y) & greater(Y, X))) <=> ((~greater(X, Y)) | (~greater(Y, X)))))),
% 0.16/0.38 inference(bind,[status(th)],[])).
% 0.16/0.38 tff(100,plain,
% 0.16/0.38 (![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X))) <=> ![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))),
% 0.16/0.38 inference(quant_intro,[status(thm)],[99])).
% 0.16/0.38 tff(101,plain,
% 0.16/0.38 (![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X))) <=> ![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X)))),
% 0.16/0.38 inference(rewrite,[status(thm)],[])).
% 0.16/0.38 tff(102,axiom,(![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp6_2')).
% 0.16/0.38 tff(103,plain,
% 0.16/0.38 (![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X)))),
% 0.16/0.38 inference(modus_ponens,[status(thm)],[102, 101])).
% 0.16/0.38 tff(104,plain,(
% 0.16/0.38 ![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X)))),
% 0.16/0.38 inference(skolemize,[status(sab)],[103])).
% 0.16/0.38 tff(105,plain,
% 0.16/0.38 (![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))),
% 0.16/0.38 inference(modus_ponens,[status(thm)],[104, 100])).
% 0.16/0.38 tff(106,plain,
% 0.16/0.38 (![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))),
% 0.16/0.38 inference(modus_ponens,[status(thm)],[105, 98])).
% 0.16/0.38 tff(107,plain,
% 0.16/0.38 (((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(tptp_fun_I_0(T1!3, X!6), tptp_fun_I_0(T2!2, X!6))) | (~greater(tptp_fun_I_0(T2!2, X!6), tptp_fun_I_0(T1!3, X!6))))) <=> ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(tptp_fun_I_0(T1!3, X!6), tptp_fun_I_0(T2!2, X!6))) | (~greater(tptp_fun_I_0(T2!2, X!6), tptp_fun_I_0(T1!3, X!6))))),
% 0.16/0.38 inference(rewrite,[status(thm)],[])).
% 0.16/0.38 tff(108,plain,
% 0.16/0.38 ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(tptp_fun_I_0(T1!3, X!6), tptp_fun_I_0(T2!2, X!6))) | (~greater(tptp_fun_I_0(T2!2, X!6), tptp_fun_I_0(T1!3, X!6))))),
% 0.16/0.38 inference(quant_inst,[status(thm)],[])).
% 0.16/0.38 tff(109,plain,
% 0.16/0.38 ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(tptp_fun_I_0(T1!3, X!6), tptp_fun_I_0(T2!2, X!6))) | (~greater(tptp_fun_I_0(T2!2, X!6), tptp_fun_I_0(T1!3, X!6)))),
% 0.16/0.38 inference(modus_ponens,[status(thm)],[108, 107])).
% 0.16/0.38 tff(110,plain,
% 0.16/0.38 (~greater(tptp_fun_I_0(T1!3, X!6), tptp_fun_I_0(T2!2, X!6))),
% 0.16/0.38 inference(unit_resolution,[status(thm)],[109, 106, 96])).
% 0.16/0.38 tff(111,plain,
% 0.16/0.38 (complexity(X!6, C2!4, T2!2)),
% 0.16/0.38 inference(and_elim,[status(thm)],[12])).
% 0.16/0.38 tff(112,plain,
% 0.16/0.38 (complexity(X!6, C1!5, T1!3)),
% 0.16/0.38 inference(and_elim,[status(thm)],[12])).
% 0.16/0.38 tff(113,plain,
% 0.16/0.38 (greater(C1!5, C2!4)),
% 0.16/0.38 inference(or_elim,[status(thm)],[11])).
% 0.16/0.38 tff(114,plain,
% 0.16/0.38 (^[X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : refl((greater(I2, I1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~complexity(X, C1, T1)) | (~complexity(Y, C2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(C2, C1))) <=> (greater(I2, I1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~complexity(X, C1, T1)) | (~complexity(Y, C2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(C2, C1))))),
% 0.16/0.38 inference(bind,[status(th)],[])).
% 0.16/0.38 tff(115,plain,
% 0.16/0.38 (![X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~complexity(X, C1, T1)) | (~complexity(Y, C2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(C2, C1))) <=> ![X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~complexity(X, C1, T1)) | (~complexity(Y, C2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(C2, C1)))),
% 0.16/0.38 inference(quant_intro,[status(thm)],[114])).
% 0.16/0.38 tff(116,plain,
% 0.16/0.38 (^[X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & complexity(X, C1, T1) & complexity(Y, C2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & greater(C2, C1)) <=> (~((~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~complexity(X, C1, T1)) | (~complexity(Y, C2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(C2, C1))))), ((~(organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & complexity(X, C1, T1) & complexity(Y, C2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & greater(C2, C1))) <=> (~(~((~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~complexity(X, C1, T1)) | (~complexity(Y, C2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(C2, C1))))))), rewrite((~(~((~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~complexity(X, C1, T1)) | (~complexity(Y, C2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(C2, C1))))) <=> ((~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~complexity(X, C1, T1)) | (~complexity(Y, C2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(C2, C1)))), ((~(organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & complexity(X, C1, T1) & complexity(Y, C2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & greater(C2, C1))) <=> ((~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~complexity(X, C1, T1)) | (~complexity(Y, C2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(C2, C1))))), (((~(organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & complexity(X, C1, T1) & complexity(Y, C2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & greater(C2, C1))) | greater(I2, I1)) <=> (((~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~complexity(X, C1, T1)) | (~complexity(Y, C2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(C2, C1))) | greater(I2, I1)))), rewrite((((~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~complexity(X, C1, T1)) | (~complexity(Y, C2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(C2, C1))) | greater(I2, I1)) <=> (greater(I2, I1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~complexity(X, C1, T1)) | (~complexity(Y, C2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(C2, C1)))), (((~(organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & complexity(X, C1, T1) & complexity(Y, C2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & greater(C2, C1))) | greater(I2, I1)) <=> (greater(I2, I1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~complexity(X, C1, T1)) | (~complexity(Y, C2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(C2, C1)))))),
% 0.16/0.38 inference(bind,[status(th)],[])).
% 0.16/0.38 tff(117,plain,
% 0.16/0.38 (![X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(Y, T2) & class(X, C, T1) & class(Y, C, T2) & complexity(X, C1, T1) & complexity(Y, C2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & greater(C2, C1))) | greater(I2, I1)) <=> ![X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~complexity(X, C1, T1)) | (~complexity(Y, C2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(C2, C1)))),
% 0.16/0.39 inference(quant_intro,[status(thm)],[116])).
% 0.16/0.39 tff(118,plain,
% 0.16/0.39 (![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))),
% 0.16/0.39 inference(rewrite,[status(thm)],[])).
% 0.16/0.39 tff(119,plain,
% 0.16/0.39 (^[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))))),
% 0.16/0.39 inference(bind,[status(th)],[])).
% 0.16/0.39 tff(120,plain,
% 0.16/0.39 (![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))),
% 0.16/0.39 inference(quant_intro,[status(thm)],[119])).
% 0.16/0.39 tff(121,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')).
% 0.16/0.39 tff(122,plain,
% 0.16/0.39 (![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))),
% 0.16/0.39 inference(modus_ponens,[status(thm)],[121, 120])).
% 0.16/0.39 tff(123,plain,
% 0.16/0.39 (![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))),
% 0.16/0.39 inference(modus_ponens,[status(thm)],[122, 118])).
% 0.16/0.39 tff(124,plain,(
% 0.16/0.39 ![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))),
% 0.16/0.39 inference(skolemize,[status(sab)],[123])).
% 0.16/0.39 tff(125,plain,
% 0.16/0.39 (![X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~complexity(X, C1, T1)) | (~complexity(Y, C2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(C2, C1)))),
% 0.16/0.39 inference(modus_ponens,[status(thm)],[124, 117])).
% 0.16/0.39 tff(126,plain,
% 0.16/0.39 (![X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~complexity(X, C1, T1)) | (~complexity(Y, C2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(C2, C1)))),
% 0.16/0.39 inference(modus_ponens,[status(thm)],[125, 115])).
% 0.16/0.39 tff(127,plain,
% 0.16/0.39 (((~![X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~complexity(X, C1, T1)) | (~complexity(Y, C2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(C2, C1)))) | ((~greater(C1!5, C2!4)) | (~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3)) | (~inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2)) | (~complexity(X!6, C1!5, T1!3)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2)) | (~complexity(X!6, C2!4, T2!2)) | greater(tptp_fun_I_0(T1!3, X!6), tptp_fun_I_0(T2!2, X!6)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T1!3)))) <=> ((~![X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~complexity(X, C1, T1)) | (~complexity(Y, C2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(C2, C1)))) | (~greater(C1!5, C2!4)) | (~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3)) | (~inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2)) | (~complexity(X!6, C1!5, T1!3)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2)) | (~complexity(X!6, C2!4, T2!2)) | greater(tptp_fun_I_0(T1!3, X!6), tptp_fun_I_0(T2!2, X!6)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T1!3)))),
% 0.16/0.39 inference(rewrite,[status(thm)],[])).
% 0.16/0.39 tff(128,plain,
% 0.16/0.39 ((greater(tptp_fun_I_0(T1!3, X!6), tptp_fun_I_0(T2!2, X!6)) | (~organization(X!6, T2!2)) | (~organization(X!6, T1!3)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T1!3)) | (~complexity(X!6, C2!4, T2!2)) | (~complexity(X!6, C1!5, T1!3)) | (~inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2)) | (~inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3)) | (~greater(C1!5, C2!4))) <=> ((~greater(C1!5, C2!4)) | (~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3)) | (~inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2)) | (~complexity(X!6, C1!5, T1!3)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2)) | (~complexity(X!6, C2!4, T2!2)) | greater(tptp_fun_I_0(T1!3, X!6), tptp_fun_I_0(T2!2, X!6)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T1!3)))),
% 0.16/0.39 inference(rewrite,[status(thm)],[])).
% 0.16/0.39 tff(129,plain,
% 0.16/0.39 (((~![X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~complexity(X, C1, T1)) | (~complexity(Y, C2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(C2, C1)))) | (greater(tptp_fun_I_0(T1!3, X!6), tptp_fun_I_0(T2!2, X!6)) | (~organization(X!6, T2!2)) | (~organization(X!6, T1!3)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T1!3)) | (~complexity(X!6, C2!4, T2!2)) | (~complexity(X!6, C1!5, T1!3)) | (~inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2)) | (~inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3)) | (~greater(C1!5, C2!4)))) <=> ((~![X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~complexity(X, C1, T1)) | (~complexity(Y, C2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(C2, C1)))) | ((~greater(C1!5, C2!4)) | (~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3)) | (~inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2)) | (~complexity(X!6, C1!5, T1!3)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2)) | (~complexity(X!6, C2!4, T2!2)) | greater(tptp_fun_I_0(T1!3, X!6), tptp_fun_I_0(T2!2, X!6)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T1!3))))),
% 0.16/0.39 inference(monotonicity,[status(thm)],[128])).
% 0.16/0.39 tff(130,plain,
% 0.16/0.39 (((~![X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~complexity(X, C1, T1)) | (~complexity(Y, C2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(C2, C1)))) | (greater(tptp_fun_I_0(T1!3, X!6), tptp_fun_I_0(T2!2, X!6)) | (~organization(X!6, T2!2)) | (~organization(X!6, T1!3)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T1!3)) | (~complexity(X!6, C2!4, T2!2)) | (~complexity(X!6, C1!5, T1!3)) | (~inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2)) | (~inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3)) | (~greater(C1!5, C2!4)))) <=> ((~![X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~complexity(X, C1, T1)) | (~complexity(Y, C2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(C2, C1)))) | (~greater(C1!5, C2!4)) | (~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3)) | (~inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2)) | (~complexity(X!6, C1!5, T1!3)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2)) | (~complexity(X!6, C2!4, T2!2)) | greater(tptp_fun_I_0(T1!3, X!6), tptp_fun_I_0(T2!2, X!6)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T1!3)))),
% 0.16/0.39 inference(transitivity,[status(thm)],[129, 127])).
% 0.16/0.39 tff(131,plain,
% 0.16/0.39 ((~![X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~complexity(X, C1, T1)) | (~complexity(Y, C2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(C2, C1)))) | (greater(tptp_fun_I_0(T1!3, X!6), tptp_fun_I_0(T2!2, X!6)) | (~organization(X!6, T2!2)) | (~organization(X!6, T1!3)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T1!3)) | (~complexity(X!6, C2!4, T2!2)) | (~complexity(X!6, C1!5, T1!3)) | (~inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2)) | (~inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3)) | (~greater(C1!5, C2!4)))),
% 0.16/0.40 inference(quant_inst,[status(thm)],[])).
% 0.16/0.40 tff(132,plain,
% 0.16/0.40 ((~![X: $i, Y: $i, C: $i, C1: $i, C2: $i, I1: $i, I2: $i, T1: $i, T2: $i] : (greater(I2, I1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~complexity(X, C1, T1)) | (~complexity(Y, C2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)) | (~greater(C2, C1)))) | (~greater(C1!5, C2!4)) | (~organization(X!6, T1!3)) | (~organization(X!6, T2!2)) | (~inertia(X!6, tptp_fun_I_0(T1!3, X!6), T1!3)) | (~inertia(X!6, tptp_fun_I_0(T2!2, X!6), T2!2)) | (~complexity(X!6, C1!5, T1!3)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T2!2)) | (~complexity(X!6, C2!4, T2!2)) | greater(tptp_fun_I_0(T1!3, X!6), tptp_fun_I_0(T2!2, X!6)) | (~class(X!6, tptp_fun_C_1(T2!2, X!6), T1!3))),
% 0.16/0.40 inference(modus_ponens,[status(thm)],[131, 130])).
% 0.16/0.40 tff(133,plain,
% 0.16/0.40 (~class(X!6, tptp_fun_C_1(T2!2, X!6), T1!3)),
% 0.16/0.40 inference(unit_resolution,[status(thm)],[132, 126, 113, 28, 13, 112, 111, 75, 71, 27, 110])).
% 0.16/0.40 tff(134,plain,
% 0.16/0.40 ($false),
% 0.16/0.40 inference(unit_resolution,[status(thm)],[133, 57])).
% 0.16/0.40 % SZS output end Proof
%------------------------------------------------------------------------------