TSTP Solution File: MGT007+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : MGT007+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n017.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 05:21:46 EDT 2022
% Result : Theorem 0.11s 0.37s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : MGT007+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.11/0.32 % Computer : n017.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri Sep 2 02:01:07 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.11/0.33 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.11/0.33 Usage: tptp [options] [-file:]file
% 0.11/0.33 -h, -? prints this message.
% 0.11/0.33 -smt2 print SMT-LIB2 benchmark.
% 0.11/0.33 -m, -model generate model.
% 0.11/0.33 -p, -proof generate proof.
% 0.11/0.33 -c, -core generate unsat core of named formulas.
% 0.11/0.33 -st, -statistics display statistics.
% 0.11/0.33 -t:timeout set timeout (in second).
% 0.11/0.33 -smt2status display status in smt2 format instead of SZS.
% 0.11/0.33 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.11/0.33 -<param>:<value> configuration parameter and value.
% 0.11/0.33 -o:<output-file> file to place output in.
% 0.11/0.37 % SZS status Theorem
% 0.11/0.37 % SZS output start Proof
% 0.11/0.37 tff(greater_type, type, (
% 0.11/0.37 greater: ( $i * $i ) > $o)).
% 0.11/0.37 tff(tptp_fun_A_1_type, type, (
% 0.11/0.37 tptp_fun_A_1: ( $i * $i ) > $i)).
% 0.11/0.37 tff(tptp_fun_X_9_type, type, (
% 0.11/0.37 tptp_fun_X_9: $i)).
% 0.11/0.37 tff(tptp_fun_T2_5_type, type, (
% 0.11/0.37 tptp_fun_T2_5: $i)).
% 0.11/0.37 tff(tptp_fun_T1_6_type, type, (
% 0.11/0.37 tptp_fun_T1_6: $i)).
% 0.11/0.37 tff(tptp_fun_R_0_type, type, (
% 0.11/0.37 tptp_fun_R_0: ( $i * $i ) > $i)).
% 0.11/0.37 tff(tptp_fun_Rp2_7_type, type, (
% 0.11/0.37 tptp_fun_Rp2_7: $i)).
% 0.11/0.37 tff(tptp_fun_Rp1_8_type, type, (
% 0.11/0.37 tptp_fun_Rp1_8: $i)).
% 0.11/0.37 tff(accountability_type, type, (
% 0.11/0.37 accountability: ( $i * $i * $i ) > $o)).
% 0.11/0.37 tff(organization_type, type, (
% 0.11/0.37 organization: ( $i * $i ) > $o)).
% 0.11/0.37 tff(tptp_fun_Tb_3_type, type, (
% 0.11/0.37 tptp_fun_Tb_3: $i)).
% 0.11/0.37 tff(tptp_fun_Ta_4_type, type, (
% 0.11/0.37 tptp_fun_Ta_4: $i)).
% 0.11/0.37 tff(reproducibility_type, type, (
% 0.11/0.37 reproducibility: ( $i * $i * $i ) > $o)).
% 0.11/0.37 tff(reorganization_type, type, (
% 0.11/0.37 reorganization: ( $i * $i * $i ) > $o)).
% 0.11/0.37 tff(reliability_type, type, (
% 0.11/0.37 reliability: ( $i * $i * $i ) > $o)).
% 0.11/0.37 tff(1,plain,
% 0.11/0.37 ((~![X: $i, Rp1: $i, Rp2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reproducibility(X, Rp1, T1) & reproducibility(X, Rp2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb)))) | greater(Rp1, Rp2))) <=> (~![X: $i, Rp1: $i, Rp2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reproducibility(X, Rp1, T1) & reproducibility(X, Rp2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb)))) | greater(Rp1, Rp2)))),
% 0.11/0.37 inference(rewrite,[status(thm)],[])).
% 0.11/0.37 tff(2,plain,
% 0.11/0.37 ((~![X: $i, Rp1: $i, Rp2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : ((((((((organization(X, T1) & organization(X, T2)) & reorganization(X, Ta, Tb)) & reproducibility(X, Rp1, T1)) & reproducibility(X, Rp2, T2)) & (~greater(Ta, T1))) & greater(T2, T1)) & (~greater(T2, Tb))) => greater(Rp1, Rp2))) <=> (~![X: $i, Rp1: $i, Rp2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reproducibility(X, Rp1, T1) & reproducibility(X, Rp2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb)))) | greater(Rp1, Rp2)))),
% 0.11/0.37 inference(rewrite,[status(thm)],[])).
% 0.11/0.37 tff(3,axiom,(~![X: $i, Rp1: $i, Rp2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : ((((((((organization(X, T1) & organization(X, T2)) & reorganization(X, Ta, Tb)) & reproducibility(X, Rp1, T1)) & reproducibility(X, Rp2, T2)) & (~greater(Ta, T1))) & greater(T2, T1)) & (~greater(T2, Tb))) => greater(Rp1, Rp2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','t7_FOL')).
% 0.11/0.37 tff(4,plain,
% 0.11/0.37 (~![X: $i, Rp1: $i, Rp2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reproducibility(X, Rp1, T1) & reproducibility(X, Rp2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb)))) | greater(Rp1, Rp2))),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.11/0.37 tff(5,plain,
% 0.11/0.37 (~![X: $i, Rp1: $i, Rp2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reproducibility(X, Rp1, T1) & reproducibility(X, Rp2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb)))) | greater(Rp1, Rp2))),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[4, 1])).
% 0.11/0.37 tff(6,plain,
% 0.11/0.37 (~![X: $i, Rp1: $i, Rp2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reproducibility(X, Rp1, T1) & reproducibility(X, Rp2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb)))) | greater(Rp1, Rp2))),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.11/0.37 tff(7,plain,
% 0.11/0.37 (~![X: $i, Rp1: $i, Rp2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reproducibility(X, Rp1, T1) & reproducibility(X, Rp2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb)))) | greater(Rp1, Rp2))),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[6, 1])).
% 0.11/0.37 tff(8,plain,
% 0.11/0.37 (~![X: $i, Rp1: $i, Rp2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reproducibility(X, Rp1, T1) & reproducibility(X, Rp2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb)))) | greater(Rp1, Rp2))),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[7, 1])).
% 0.11/0.38 tff(9,plain,
% 0.11/0.38 (~![X: $i, Rp1: $i, Rp2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reproducibility(X, Rp1, T1) & reproducibility(X, Rp2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb)))) | greater(Rp1, Rp2))),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[8, 1])).
% 0.11/0.38 tff(10,plain,
% 0.11/0.38 (~![X: $i, Rp1: $i, Rp2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reproducibility(X, Rp1, T1) & reproducibility(X, Rp2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb)))) | greater(Rp1, Rp2))),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[9, 1])).
% 0.11/0.38 tff(11,plain,(
% 0.11/0.38 ~((~(organization(X!9, T1!6) & organization(X!9, T2!5) & reorganization(X!9, Ta!4, Tb!3) & reproducibility(X!9, Rp1!8, T1!6) & reproducibility(X!9, Rp2!7, T2!5) & (~greater(Ta!4, T1!6)) & greater(T2!5, T1!6) & (~greater(T2!5, Tb!3)))) | greater(Rp1!8, Rp2!7))),
% 0.11/0.38 inference(skolemize,[status(sab)],[10])).
% 0.11/0.38 tff(12,plain,
% 0.11/0.38 (organization(X!9, T1!6) & organization(X!9, T2!5) & reorganization(X!9, Ta!4, Tb!3) & reproducibility(X!9, Rp1!8, T1!6) & reproducibility(X!9, Rp2!7, T2!5) & (~greater(Ta!4, T1!6)) & greater(T2!5, T1!6) & (~greater(T2!5, Tb!3))),
% 0.11/0.38 inference(or_elim,[status(thm)],[11])).
% 0.11/0.38 tff(13,plain,
% 0.11/0.38 (organization(X!9, T2!5)),
% 0.11/0.38 inference(and_elim,[status(thm)],[12])).
% 0.11/0.38 tff(14,plain,
% 0.11/0.38 (^[X: $i, T: $i] : refl(((~organization(X, T)) | accountability(X, tptp_fun_A_1(T, X), T)) <=> ((~organization(X, T)) | accountability(X, tptp_fun_A_1(T, X), T)))),
% 0.11/0.38 inference(bind,[status(th)],[])).
% 0.11/0.38 tff(15,plain,
% 0.11/0.38 (![X: $i, T: $i] : ((~organization(X, T)) | accountability(X, tptp_fun_A_1(T, X), T)) <=> ![X: $i, T: $i] : ((~organization(X, T)) | accountability(X, tptp_fun_A_1(T, X), T))),
% 0.11/0.38 inference(quant_intro,[status(thm)],[14])).
% 0.11/0.38 tff(16,plain,
% 0.11/0.38 (![X: $i, T: $i] : ((~organization(X, T)) | ?[A: $i] : accountability(X, A, T)) <=> ![X: $i, T: $i] : ((~organization(X, T)) | ?[A: $i] : accountability(X, A, T))),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(17,plain,
% 0.11/0.38 (^[X: $i, T: $i] : rewrite((organization(X, T) => ?[A: $i] : accountability(X, A, T)) <=> ((~organization(X, T)) | ?[A: $i] : accountability(X, A, T)))),
% 0.11/0.38 inference(bind,[status(th)],[])).
% 0.11/0.38 tff(18,plain,
% 0.11/0.38 (![X: $i, T: $i] : (organization(X, T) => ?[A: $i] : accountability(X, A, T)) <=> ![X: $i, T: $i] : ((~organization(X, T)) | ?[A: $i] : accountability(X, A, T))),
% 0.11/0.38 inference(quant_intro,[status(thm)],[17])).
% 0.11/0.38 tff(19,axiom,(![X: $i, T: $i] : (organization(X, T) => ?[A: $i] : accountability(X, A, T))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp2')).
% 0.11/0.38 tff(20,plain,
% 0.11/0.38 (![X: $i, T: $i] : ((~organization(X, T)) | ?[A: $i] : accountability(X, A, T))),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[19, 18])).
% 0.11/0.38 tff(21,plain,
% 0.11/0.38 (![X: $i, T: $i] : ((~organization(X, T)) | ?[A: $i] : accountability(X, A, T))),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[20, 16])).
% 0.11/0.38 tff(22,plain,(
% 0.11/0.38 ![X: $i, T: $i] : ((~organization(X, T)) | accountability(X, tptp_fun_A_1(T, X), T))),
% 0.11/0.38 inference(skolemize,[status(sab)],[21])).
% 0.11/0.38 tff(23,plain,
% 0.11/0.38 (![X: $i, T: $i] : ((~organization(X, T)) | accountability(X, tptp_fun_A_1(T, X), T))),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[22, 15])).
% 0.11/0.38 tff(24,plain,
% 0.11/0.38 (((~![X: $i, T: $i] : ((~organization(X, T)) | accountability(X, tptp_fun_A_1(T, X), T))) | ((~organization(X!9, T2!5)) | accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5))) <=> ((~![X: $i, T: $i] : ((~organization(X, T)) | accountability(X, tptp_fun_A_1(T, X), T))) | (~organization(X!9, T2!5)) | accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5))),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(25,plain,
% 0.11/0.38 ((~![X: $i, T: $i] : ((~organization(X, T)) | accountability(X, tptp_fun_A_1(T, X), T))) | ((~organization(X!9, T2!5)) | accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5))),
% 0.11/0.38 inference(quant_inst,[status(thm)],[])).
% 0.11/0.38 tff(26,plain,
% 0.11/0.38 ((~![X: $i, T: $i] : ((~organization(X, T)) | accountability(X, tptp_fun_A_1(T, X), T))) | (~organization(X!9, T2!5)) | accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[25, 24])).
% 0.11/0.38 tff(27,plain,
% 0.11/0.38 (accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)),
% 0.11/0.38 inference(unit_resolution,[status(thm)],[26, 23, 13])).
% 0.11/0.38 tff(28,plain,
% 0.11/0.38 (^[X: $i, T: $i] : refl(((~organization(X, T)) | reliability(X, tptp_fun_R_0(T, X), T)) <=> ((~organization(X, T)) | reliability(X, tptp_fun_R_0(T, X), T)))),
% 0.11/0.38 inference(bind,[status(th)],[])).
% 0.11/0.38 tff(29,plain,
% 0.11/0.38 (![X: $i, T: $i] : ((~organization(X, T)) | reliability(X, tptp_fun_R_0(T, X), T)) <=> ![X: $i, T: $i] : ((~organization(X, T)) | reliability(X, tptp_fun_R_0(T, X), T))),
% 0.11/0.38 inference(quant_intro,[status(thm)],[28])).
% 0.11/0.38 tff(30,plain,
% 0.11/0.38 (![X: $i, T: $i] : ((~organization(X, T)) | ?[R: $i] : reliability(X, R, T)) <=> ![X: $i, T: $i] : ((~organization(X, T)) | ?[R: $i] : reliability(X, R, T))),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(31,plain,
% 0.11/0.38 (^[X: $i, T: $i] : rewrite((organization(X, T) => ?[R: $i] : reliability(X, R, T)) <=> ((~organization(X, T)) | ?[R: $i] : reliability(X, R, T)))),
% 0.11/0.38 inference(bind,[status(th)],[])).
% 0.11/0.38 tff(32,plain,
% 0.11/0.38 (![X: $i, T: $i] : (organization(X, T) => ?[R: $i] : reliability(X, R, T)) <=> ![X: $i, T: $i] : ((~organization(X, T)) | ?[R: $i] : reliability(X, R, T))),
% 0.11/0.38 inference(quant_intro,[status(thm)],[31])).
% 0.11/0.38 tff(33,axiom,(![X: $i, T: $i] : (organization(X, T) => ?[R: $i] : reliability(X, R, T))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp1')).
% 0.11/0.38 tff(34,plain,
% 0.11/0.38 (![X: $i, T: $i] : ((~organization(X, T)) | ?[R: $i] : reliability(X, R, T))),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[33, 32])).
% 0.11/0.38 tff(35,plain,
% 0.11/0.38 (![X: $i, T: $i] : ((~organization(X, T)) | ?[R: $i] : reliability(X, R, T))),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[34, 30])).
% 0.11/0.38 tff(36,plain,(
% 0.11/0.38 ![X: $i, T: $i] : ((~organization(X, T)) | reliability(X, tptp_fun_R_0(T, X), T))),
% 0.11/0.38 inference(skolemize,[status(sab)],[35])).
% 0.11/0.38 tff(37,plain,
% 0.11/0.38 (![X: $i, T: $i] : ((~organization(X, T)) | reliability(X, tptp_fun_R_0(T, X), T))),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[36, 29])).
% 0.11/0.38 tff(38,plain,
% 0.11/0.38 (((~![X: $i, T: $i] : ((~organization(X, T)) | reliability(X, tptp_fun_R_0(T, X), T))) | ((~organization(X!9, T2!5)) | reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5))) <=> ((~![X: $i, T: $i] : ((~organization(X, T)) | reliability(X, tptp_fun_R_0(T, X), T))) | (~organization(X!9, T2!5)) | reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5))),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(39,plain,
% 0.11/0.38 ((~![X: $i, T: $i] : ((~organization(X, T)) | reliability(X, tptp_fun_R_0(T, X), T))) | ((~organization(X!9, T2!5)) | reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5))),
% 0.11/0.38 inference(quant_inst,[status(thm)],[])).
% 0.11/0.38 tff(40,plain,
% 0.11/0.38 ((~![X: $i, T: $i] : ((~organization(X, T)) | reliability(X, tptp_fun_R_0(T, X), T))) | (~organization(X!9, T2!5)) | reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[39, 38])).
% 0.11/0.38 tff(41,plain,
% 0.11/0.38 (reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)),
% 0.11/0.38 inference(unit_resolution,[status(thm)],[40, 37, 13])).
% 0.11/0.38 tff(42,plain,
% 0.11/0.38 (organization(X!9, T1!6)),
% 0.11/0.38 inference(and_elim,[status(thm)],[12])).
% 0.11/0.38 tff(43,plain,
% 0.11/0.38 (((~![X: $i, T: $i] : ((~organization(X, T)) | accountability(X, tptp_fun_A_1(T, X), T))) | ((~organization(X!9, T1!6)) | accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6))) <=> ((~![X: $i, T: $i] : ((~organization(X, T)) | accountability(X, tptp_fun_A_1(T, X), T))) | (~organization(X!9, T1!6)) | accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6))),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(44,plain,
% 0.11/0.38 ((~![X: $i, T: $i] : ((~organization(X, T)) | accountability(X, tptp_fun_A_1(T, X), T))) | ((~organization(X!9, T1!6)) | accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6))),
% 0.11/0.38 inference(quant_inst,[status(thm)],[])).
% 0.11/0.38 tff(45,plain,
% 0.11/0.38 ((~![X: $i, T: $i] : ((~organization(X, T)) | accountability(X, tptp_fun_A_1(T, X), T))) | (~organization(X!9, T1!6)) | accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[44, 43])).
% 0.11/0.38 tff(46,plain,
% 0.11/0.38 (accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)),
% 0.11/0.38 inference(unit_resolution,[status(thm)],[45, 23, 42])).
% 0.11/0.38 tff(47,plain,
% 0.11/0.38 (((~![X: $i, T: $i] : ((~organization(X, T)) | reliability(X, tptp_fun_R_0(T, X), T))) | ((~organization(X!9, T1!6)) | reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6))) <=> ((~![X: $i, T: $i] : ((~organization(X, T)) | reliability(X, tptp_fun_R_0(T, X), T))) | (~organization(X!9, T1!6)) | reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6))),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(48,plain,
% 0.11/0.38 ((~![X: $i, T: $i] : ((~organization(X, T)) | reliability(X, tptp_fun_R_0(T, X), T))) | ((~organization(X!9, T1!6)) | reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6))),
% 0.11/0.38 inference(quant_inst,[status(thm)],[])).
% 0.11/0.38 tff(49,plain,
% 0.11/0.38 ((~![X: $i, T: $i] : ((~organization(X, T)) | reliability(X, tptp_fun_R_0(T, X), T))) | (~organization(X!9, T1!6)) | reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[48, 47])).
% 0.11/0.38 tff(50,plain,
% 0.11/0.38 (reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)),
% 0.11/0.38 inference(unit_resolution,[status(thm)],[49, 37, 42])).
% 0.11/0.38 tff(51,plain,
% 0.11/0.38 (~greater(T2!5, Tb!3)),
% 0.11/0.38 inference(and_elim,[status(thm)],[12])).
% 0.11/0.38 tff(52,plain,
% 0.11/0.38 (greater(T2!5, T1!6)),
% 0.11/0.38 inference(and_elim,[status(thm)],[12])).
% 0.11/0.38 tff(53,plain,
% 0.11/0.38 (~greater(Ta!4, T1!6)),
% 0.11/0.38 inference(and_elim,[status(thm)],[12])).
% 0.11/0.38 tff(54,plain,
% 0.11/0.38 (reorganization(X!9, Ta!4, Tb!3)),
% 0.11/0.38 inference(and_elim,[status(thm)],[12])).
% 0.11/0.38 tff(55,plain,
% 0.11/0.38 (^[X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : refl((greater(T2, Tb) | greater(Ta, T1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization(X, Ta, Tb)) | (~reliability(X, R1, T1)) | (~reliability(X, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(X, A2, T2)) | (~((~greater(R1, R2)) | (~greater(A1, A2))))) <=> (greater(T2, Tb) | greater(Ta, T1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization(X, Ta, Tb)) | (~reliability(X, R1, T1)) | (~reliability(X, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(X, A2, T2)) | (~((~greater(R1, R2)) | (~greater(A1, A2))))))),
% 0.11/0.38 inference(bind,[status(th)],[])).
% 0.11/0.38 tff(56,plain,
% 0.11/0.38 (![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : (greater(T2, Tb) | greater(Ta, T1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization(X, Ta, Tb)) | (~reliability(X, R1, T1)) | (~reliability(X, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(X, A2, T2)) | (~((~greater(R1, R2)) | (~greater(A1, A2))))) <=> ![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : (greater(T2, Tb) | greater(Ta, T1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization(X, Ta, Tb)) | (~reliability(X, R1, T1)) | (~reliability(X, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(X, A2, T2)) | (~((~greater(R1, R2)) | (~greater(A1, A2)))))),
% 0.11/0.38 inference(quant_intro,[status(thm)],[55])).
% 0.11/0.38 tff(57,plain,
% 0.11/0.38 (^[X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb))) <=> (~(greater(T2, Tb) | greater(Ta, T1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization(X, Ta, Tb)) | (~reliability(X, R1, T1)) | (~reliability(X, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(X, A2, T2))))), ((~(organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb)))) <=> (~(~(greater(T2, Tb) | greater(Ta, T1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization(X, Ta, Tb)) | (~reliability(X, R1, T1)) | (~reliability(X, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(X, A2, T2))))))), rewrite((~(~(greater(T2, Tb) | greater(Ta, T1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization(X, Ta, Tb)) | (~reliability(X, R1, T1)) | (~reliability(X, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(X, A2, T2))))) <=> (greater(T2, Tb) | greater(Ta, T1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization(X, Ta, Tb)) | (~reliability(X, R1, T1)) | (~reliability(X, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(X, A2, T2)))), ((~(organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb)))) <=> (greater(T2, Tb) | greater(Ta, T1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization(X, Ta, Tb)) | (~reliability(X, R1, T1)) | (~reliability(X, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(X, A2, T2))))), rewrite((greater(R1, R2) & greater(A1, A2)) <=> (~((~greater(R1, R2)) | (~greater(A1, A2))))), (((~(organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb)))) | (greater(R1, R2) & greater(A1, A2))) <=> ((greater(T2, Tb) | greater(Ta, T1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization(X, Ta, Tb)) | (~reliability(X, R1, T1)) | (~reliability(X, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(X, A2, T2))) | (~((~greater(R1, R2)) | (~greater(A1, A2))))))), rewrite(((greater(T2, Tb) | greater(Ta, T1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization(X, Ta, Tb)) | (~reliability(X, R1, T1)) | (~reliability(X, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(X, A2, T2))) | (~((~greater(R1, R2)) | (~greater(A1, A2))))) <=> (greater(T2, Tb) | greater(Ta, T1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization(X, Ta, Tb)) | (~reliability(X, R1, T1)) | (~reliability(X, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(X, A2, T2)) | (~((~greater(R1, R2)) | (~greater(A1, A2)))))), (((~(organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb)))) | (greater(R1, R2) & greater(A1, A2))) <=> (greater(T2, Tb) | greater(Ta, T1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization(X, Ta, Tb)) | (~reliability(X, R1, T1)) | (~reliability(X, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(X, A2, T2)) | (~((~greater(R1, R2)) | (~greater(A1, A2)))))))),
% 0.11/0.38 inference(bind,[status(th)],[])).
% 0.11/0.38 tff(58,plain,
% 0.11/0.38 (![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb)))) | (greater(R1, R2) & greater(A1, A2))) <=> ![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : (greater(T2, Tb) | greater(Ta, T1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization(X, Ta, Tb)) | (~reliability(X, R1, T1)) | (~reliability(X, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(X, A2, T2)) | (~((~greater(R1, R2)) | (~greater(A1, A2)))))),
% 0.11/0.38 inference(quant_intro,[status(thm)],[57])).
% 0.11/0.38 tff(59,plain,
% 0.11/0.38 (![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb)))) | (greater(R1, R2) & greater(A1, A2))) <=> ![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb)))) | (greater(R1, R2) & greater(A1, A2)))),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(60,plain,
% 0.11/0.38 (^[X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((organization(X, T1) & organization(X, T2)) & reorganization(X, Ta, Tb)) <=> (organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb))), ((((organization(X, T1) & organization(X, T2)) & reorganization(X, Ta, Tb)) & reliability(X, R1, T1)) <=> ((organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb)) & reliability(X, R1, T1)))), rewrite(((organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb)) & reliability(X, R1, T1)) <=> (organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1))), ((((organization(X, T1) & organization(X, T2)) & reorganization(X, Ta, Tb)) & reliability(X, R1, T1)) <=> (organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1)))), (((((organization(X, T1) & organization(X, T2)) & reorganization(X, Ta, Tb)) & reliability(X, R1, T1)) & reliability(X, R2, T2)) <=> ((organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1)) & reliability(X, R2, T2)))), rewrite(((organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1)) & reliability(X, R2, T2)) <=> (organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2))), (((((organization(X, T1) & organization(X, T2)) & reorganization(X, Ta, Tb)) & reliability(X, R1, T1)) & reliability(X, R2, T2)) <=> (organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2)))), ((((((organization(X, T1) & organization(X, T2)) & reorganization(X, Ta, Tb)) & reliability(X, R1, T1)) & reliability(X, R2, T2)) & accountability(X, A1, T1)) <=> ((organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2)) & accountability(X, A1, T1)))), rewrite(((organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2)) & accountability(X, A1, T1)) <=> (organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1))), ((((((organization(X, T1) & organization(X, T2)) & reorganization(X, Ta, Tb)) & reliability(X, R1, T1)) & reliability(X, R2, T2)) & accountability(X, A1, T1)) <=> (organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1)))), (((((((organization(X, T1) & organization(X, T2)) & reorganization(X, Ta, Tb)) & reliability(X, R1, T1)) & reliability(X, R2, T2)) & accountability(X, A1, T1)) & accountability(X, A2, T2)) <=> ((organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1)) & accountability(X, A2, T2)))), rewrite(((organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1)) & accountability(X, A2, T2)) <=> (organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2))), (((((((organization(X, T1) & organization(X, T2)) & reorganization(X, Ta, Tb)) & reliability(X, R1, T1)) & reliability(X, R2, T2)) & accountability(X, A1, T1)) & accountability(X, A2, T2)) <=> (organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2)))), ((((((((organization(X, T1) & organization(X, T2)) & reorganization(X, Ta, Tb)) & reliability(X, R1, T1)) & reliability(X, R2, T2)) & accountability(X, A1, T1)) & accountability(X, A2, T2)) & (~greater(Ta, T1))) <=> ((organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2)) & (~greater(Ta, T1))))), rewrite(((organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2)) & (~greater(Ta, T1))) <=> (organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1)))), ((((((((organization(X, T1) & organization(X, T2)) & reorganization(X, Ta, Tb)) & reliability(X, R1, T1)) & reliability(X, R2, T2)) & accountability(X, A1, T1)) & accountability(X, A2, T2)) & (~greater(Ta, T1))) <=> (organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1))))), (((((((((organization(X, T1) & organization(X, T2)) & reorganization(X, Ta, Tb)) & reliability(X, R1, T1)) & reliability(X, R2, T2)) & accountability(X, A1, T1)) & accountability(X, A2, T2)) & (~greater(Ta, T1))) & greater(T2, T1)) <=> ((organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1))) & greater(T2, T1)))), rewrite(((organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1))) & greater(T2, T1)) <=> (organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1)) & greater(T2, T1))), (((((((((organization(X, T1) & organization(X, T2)) & reorganization(X, Ta, Tb)) & reliability(X, R1, T1)) & reliability(X, R2, T2)) & accountability(X, A1, T1)) & accountability(X, A2, T2)) & (~greater(Ta, T1))) & greater(T2, T1)) <=> (organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1)) & greater(T2, T1)))), ((((((((((organization(X, T1) & organization(X, T2)) & reorganization(X, Ta, Tb)) & reliability(X, R1, T1)) & reliability(X, R2, T2)) & accountability(X, A1, T1)) & accountability(X, A2, T2)) & (~greater(Ta, T1))) & greater(T2, T1)) & (~greater(T2, Tb))) <=> ((organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1)) & greater(T2, T1)) & (~greater(T2, Tb))))), rewrite(((organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1)) & greater(T2, T1)) & (~greater(T2, Tb))) <=> (organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb)))), ((((((((((organization(X, T1) & organization(X, T2)) & reorganization(X, Ta, Tb)) & reliability(X, R1, T1)) & reliability(X, R2, T2)) & accountability(X, A1, T1)) & accountability(X, A2, T2)) & (~greater(Ta, T1))) & greater(T2, T1)) & (~greater(T2, Tb))) <=> (organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb))))), (((((((((((organization(X, T1) & organization(X, T2)) & reorganization(X, Ta, Tb)) & reliability(X, R1, T1)) & reliability(X, R2, T2)) & accountability(X, A1, T1)) & accountability(X, A2, T2)) & (~greater(Ta, T1))) & greater(T2, T1)) & (~greater(T2, Tb))) => (greater(R1, R2) & greater(A1, A2))) <=> ((organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb))) => (greater(R1, R2) & greater(A1, A2))))), rewrite(((organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb))) => (greater(R1, R2) & greater(A1, A2))) <=> ((~(organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb)))) | (greater(R1, R2) & greater(A1, A2)))), (((((((((((organization(X, T1) & organization(X, T2)) & reorganization(X, Ta, Tb)) & reliability(X, R1, T1)) & reliability(X, R2, T2)) & accountability(X, A1, T1)) & accountability(X, A2, T2)) & (~greater(Ta, T1))) & greater(T2, T1)) & (~greater(T2, Tb))) => (greater(R1, R2) & greater(A1, A2))) <=> ((~(organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb)))) | (greater(R1, R2) & greater(A1, A2)))))),
% 0.18/0.39 inference(bind,[status(th)],[])).
% 0.18/0.39 tff(61,plain,
% 0.18/0.39 (![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : ((((((((((organization(X, T1) & organization(X, T2)) & reorganization(X, Ta, Tb)) & reliability(X, R1, T1)) & reliability(X, R2, T2)) & accountability(X, A1, T1)) & accountability(X, A2, T2)) & (~greater(Ta, T1))) & greater(T2, T1)) & (~greater(T2, Tb))) => (greater(R1, R2) & greater(A1, A2))) <=> ![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb)))) | (greater(R1, R2) & greater(A1, A2)))),
% 0.18/0.39 inference(quant_intro,[status(thm)],[60])).
% 0.18/0.39 tff(62,axiom,(![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : ((((((((((organization(X, T1) & organization(X, T2)) & reorganization(X, Ta, Tb)) & reliability(X, R1, T1)) & reliability(X, R2, T2)) & accountability(X, A1, T1)) & accountability(X, A2, T2)) & (~greater(Ta, T1))) & greater(T2, T1)) & (~greater(T2, Tb))) => (greater(R1, R2) & greater(A1, A2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','a6_FOL')).
% 0.18/0.39 tff(63,plain,
% 0.18/0.39 (![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb)))) | (greater(R1, R2) & greater(A1, A2)))),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[62, 61])).
% 0.18/0.39 tff(64,plain,
% 0.18/0.39 (![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb)))) | (greater(R1, R2) & greater(A1, A2)))),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[63, 59])).
% 0.18/0.39 tff(65,plain,(
% 0.18/0.39 ![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb)))) | (greater(R1, R2) & greater(A1, A2)))),
% 0.18/0.39 inference(skolemize,[status(sab)],[64])).
% 0.18/0.39 tff(66,plain,
% 0.18/0.39 (![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : (greater(T2, Tb) | greater(Ta, T1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization(X, Ta, Tb)) | (~reliability(X, R1, T1)) | (~reliability(X, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(X, A2, T2)) | (~((~greater(R1, R2)) | (~greater(A1, A2)))))),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[65, 58])).
% 0.18/0.39 tff(67,plain,
% 0.18/0.39 (![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : (greater(T2, Tb) | greater(Ta, T1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization(X, Ta, Tb)) | (~reliability(X, R1, T1)) | (~reliability(X, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(X, A2, T2)) | (~((~greater(R1, R2)) | (~greater(A1, A2)))))),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[66, 56])).
% 0.18/0.39 tff(68,plain,
% 0.18/0.39 (((~![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : (greater(T2, Tb) | greater(Ta, T1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization(X, Ta, Tb)) | (~reliability(X, R1, T1)) | (~reliability(X, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(X, A2, T2)) | (~((~greater(R1, R2)) | (~greater(A1, A2)))))) | (greater(Ta!4, T1!6) | greater(T2!5, Tb!3) | (~organization(X!9, T1!6)) | (~organization(X!9, T2!5)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9))))) | (~reorganization(X!9, Ta!4, Tb!3)) | (~greater(T2!5, T1!6)))) <=> ((~![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : (greater(T2, Tb) | greater(Ta, T1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization(X, Ta, Tb)) | (~reliability(X, R1, T1)) | (~reliability(X, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(X, A2, T2)) | (~((~greater(R1, R2)) | (~greater(A1, A2)))))) | greater(Ta!4, T1!6) | greater(T2!5, Tb!3) | (~organization(X!9, T1!6)) | (~organization(X!9, T2!5)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9))))) | (~reorganization(X!9, Ta!4, Tb!3)) | (~greater(T2!5, T1!6)))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(69,plain,
% 0.18/0.39 ((greater(T2!5, Tb!3) | greater(Ta!4, T1!6) | (~greater(T2!5, T1!6)) | (~organization(X!9, T1!6)) | (~organization(X!9, T2!5)) | (~reorganization(X!9, Ta!4, Tb!3)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9)))))) <=> (greater(Ta!4, T1!6) | greater(T2!5, Tb!3) | (~organization(X!9, T1!6)) | (~organization(X!9, T2!5)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9))))) | (~reorganization(X!9, Ta!4, Tb!3)) | (~greater(T2!5, T1!6)))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(70,plain,
% 0.18/0.39 ((~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9))))) <=> (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9)))))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(71,plain,
% 0.18/0.39 ((greater(T2!5, Tb!3) | greater(Ta!4, T1!6) | (~greater(T2!5, T1!6)) | (~organization(X!9, T1!6)) | (~organization(X!9, T2!5)) | (~reorganization(X!9, Ta!4, Tb!3)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9)))))) <=> (greater(T2!5, Tb!3) | greater(Ta!4, T1!6) | (~greater(T2!5, T1!6)) | (~organization(X!9, T1!6)) | (~organization(X!9, T2!5)) | (~reorganization(X!9, Ta!4, Tb!3)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9))))))),
% 0.18/0.39 inference(monotonicity,[status(thm)],[70])).
% 0.18/0.39 tff(72,plain,
% 0.18/0.39 ((greater(T2!5, Tb!3) | greater(Ta!4, T1!6) | (~greater(T2!5, T1!6)) | (~organization(X!9, T1!6)) | (~organization(X!9, T2!5)) | (~reorganization(X!9, Ta!4, Tb!3)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9)))))) <=> (greater(Ta!4, T1!6) | greater(T2!5, Tb!3) | (~organization(X!9, T1!6)) | (~organization(X!9, T2!5)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9))))) | (~reorganization(X!9, Ta!4, Tb!3)) | (~greater(T2!5, T1!6)))),
% 0.18/0.39 inference(transitivity,[status(thm)],[71, 69])).
% 0.18/0.39 tff(73,plain,
% 0.18/0.39 (((~![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : (greater(T2, Tb) | greater(Ta, T1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization(X, Ta, Tb)) | (~reliability(X, R1, T1)) | (~reliability(X, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(X, A2, T2)) | (~((~greater(R1, R2)) | (~greater(A1, A2)))))) | (greater(T2!5, Tb!3) | greater(Ta!4, T1!6) | (~greater(T2!5, T1!6)) | (~organization(X!9, T1!6)) | (~organization(X!9, T2!5)) | (~reorganization(X!9, Ta!4, Tb!3)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9))))))) <=> ((~![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : (greater(T2, Tb) | greater(Ta, T1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization(X, Ta, Tb)) | (~reliability(X, R1, T1)) | (~reliability(X, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(X, A2, T2)) | (~((~greater(R1, R2)) | (~greater(A1, A2)))))) | (greater(Ta!4, T1!6) | greater(T2!5, Tb!3) | (~organization(X!9, T1!6)) | (~organization(X!9, T2!5)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9))))) | (~reorganization(X!9, Ta!4, Tb!3)) | (~greater(T2!5, T1!6))))),
% 0.18/0.40 inference(monotonicity,[status(thm)],[72])).
% 0.18/0.40 tff(74,plain,
% 0.18/0.40 (((~![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : (greater(T2, Tb) | greater(Ta, T1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization(X, Ta, Tb)) | (~reliability(X, R1, T1)) | (~reliability(X, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(X, A2, T2)) | (~((~greater(R1, R2)) | (~greater(A1, A2)))))) | (greater(T2!5, Tb!3) | greater(Ta!4, T1!6) | (~greater(T2!5, T1!6)) | (~organization(X!9, T1!6)) | (~organization(X!9, T2!5)) | (~reorganization(X!9, Ta!4, Tb!3)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9))))))) <=> ((~![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : (greater(T2, Tb) | greater(Ta, T1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization(X, Ta, Tb)) | (~reliability(X, R1, T1)) | (~reliability(X, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(X, A2, T2)) | (~((~greater(R1, R2)) | (~greater(A1, A2)))))) | greater(Ta!4, T1!6) | greater(T2!5, Tb!3) | (~organization(X!9, T1!6)) | (~organization(X!9, T2!5)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9))))) | (~reorganization(X!9, Ta!4, Tb!3)) | (~greater(T2!5, T1!6)))),
% 0.18/0.40 inference(transitivity,[status(thm)],[73, 68])).
% 0.18/0.40 tff(75,plain,
% 0.18/0.40 ((~![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : (greater(T2, Tb) | greater(Ta, T1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization(X, Ta, Tb)) | (~reliability(X, R1, T1)) | (~reliability(X, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(X, A2, T2)) | (~((~greater(R1, R2)) | (~greater(A1, A2)))))) | (greater(T2!5, Tb!3) | greater(Ta!4, T1!6) | (~greater(T2!5, T1!6)) | (~organization(X!9, T1!6)) | (~organization(X!9, T2!5)) | (~reorganization(X!9, Ta!4, Tb!3)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9))))))),
% 0.18/0.40 inference(quant_inst,[status(thm)],[])).
% 0.18/0.40 tff(76,plain,
% 0.18/0.40 ((~![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : (greater(T2, Tb) | greater(Ta, T1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization(X, Ta, Tb)) | (~reliability(X, R1, T1)) | (~reliability(X, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(X, A2, T2)) | (~((~greater(R1, R2)) | (~greater(A1, A2)))))) | greater(Ta!4, T1!6) | greater(T2!5, Tb!3) | (~organization(X!9, T1!6)) | (~organization(X!9, T2!5)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9))))) | (~reorganization(X!9, Ta!4, Tb!3)) | (~greater(T2!5, T1!6))),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[75, 74])).
% 0.18/0.40 tff(77,plain,
% 0.18/0.40 (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9))))),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[76, 67, 42, 13, 54, 53, 52, 51, 50, 46, 41, 27])).
% 0.18/0.40 tff(78,plain,
% 0.18/0.40 (~greater(Rp1!8, Rp2!7)),
% 0.18/0.40 inference(or_elim,[status(thm)],[11])).
% 0.18/0.40 tff(79,plain,
% 0.18/0.40 ((~(greater(Rp1!8, Rp2!7) <=> (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9))))))) | greater(Rp1!8, Rp2!7) | ((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9))))),
% 0.18/0.40 inference(tautology,[status(thm)],[])).
% 0.18/0.40 tff(80,plain,
% 0.18/0.40 (~(greater(Rp1!8, Rp2!7) <=> (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9))))))),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[79, 78, 77])).
% 0.18/0.40 tff(81,plain,
% 0.18/0.40 (reproducibility(X!9, Rp2!7, T2!5)),
% 0.18/0.40 inference(and_elim,[status(thm)],[12])).
% 0.18/0.40 tff(82,plain,
% 0.18/0.40 (reproducibility(X!9, Rp1!8, T1!6)),
% 0.18/0.40 inference(and_elim,[status(thm)],[12])).
% 0.18/0.40 tff(83,plain,
% 0.18/0.40 (^[X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : refl(((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (greater(Rp2, Rp1) <=> (~((~greater(R2, R1)) | (~greater(A2, A1)))))) <=> ((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (greater(Rp2, Rp1) <=> (~((~greater(R2, R1)) | (~greater(A2, A1)))))))),
% 0.18/0.40 inference(bind,[status(th)],[])).
% 0.18/0.40 tff(84,plain,
% 0.18/0.40 (![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (greater(Rp2, Rp1) <=> (~((~greater(R2, R1)) | (~greater(A2, A1)))))) <=> ![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (greater(Rp2, Rp1) <=> (~((~greater(R2, R1)) | (~greater(A2, A1))))))),
% 0.18/0.40 inference(quant_intro,[status(thm)],[83])).
% 0.18/0.40 tff(85,plain,
% 0.18/0.40 (^[X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2)) <=> (~((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2))))), ((~(organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2))) <=> (~(~((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2))))))), rewrite((~(~((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2))))) <=> ((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)))), ((~(organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2))) <=> ((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2))))), rewrite((greater(Rp2, Rp1) <=> (greater(R2, R1) & greater(A2, A1))) <=> (greater(Rp2, Rp1) <=> (~((~greater(R2, R1)) | (~greater(A2, A1)))))), (((~(organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2))) | (greater(Rp2, Rp1) <=> (greater(R2, R1) & greater(A2, A1)))) <=> (((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2))) | (greater(Rp2, Rp1) <=> (~((~greater(R2, R1)) | (~greater(A2, A1)))))))), rewrite((((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2))) | (greater(Rp2, Rp1) <=> (~((~greater(R2, R1)) | (~greater(A2, A1)))))) <=> ((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (greater(Rp2, Rp1) <=> (~((~greater(R2, R1)) | (~greater(A2, A1))))))), (((~(organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2))) | (greater(Rp2, Rp1) <=> (greater(R2, R1) & greater(A2, A1)))) <=> ((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (greater(Rp2, Rp1) <=> (~((~greater(R2, R1)) | (~greater(A2, A1))))))))),
% 0.18/0.40 inference(bind,[status(th)],[])).
% 0.18/0.40 tff(86,plain,
% 0.18/0.40 (![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2))) | (greater(Rp2, Rp1) <=> (greater(R2, R1) & greater(A2, A1)))) <=> ![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (greater(Rp2, Rp1) <=> (~((~greater(R2, R1)) | (~greater(A2, A1))))))),
% 0.18/0.40 inference(quant_intro,[status(thm)],[85])).
% 0.18/0.40 tff(87,plain,
% 0.18/0.40 (![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2))) | (greater(Rp2, Rp1) <=> (greater(R2, R1) & greater(A2, A1)))) <=> ![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2))) | (greater(Rp2, Rp1) <=> (greater(R2, R1) & greater(A2, A1))))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(88,plain,
% 0.18/0.40 (^[X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((organization(X, T1) & organization(Y, T2)) & reliability(X, R1, T1)) <=> (organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1))), ((((organization(X, T1) & organization(Y, T2)) & reliability(X, R1, T1)) & reliability(Y, R2, T2)) <=> ((organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1)) & reliability(Y, R2, T2)))), rewrite(((organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1)) & reliability(Y, R2, T2)) <=> (organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2))), ((((organization(X, T1) & organization(Y, T2)) & reliability(X, R1, T1)) & reliability(Y, R2, T2)) <=> (organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2)))), (((((organization(X, T1) & organization(Y, T2)) & reliability(X, R1, T1)) & reliability(Y, R2, T2)) & accountability(X, A1, T1)) <=> ((organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2)) & accountability(X, A1, T1)))), rewrite(((organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2)) & accountability(X, A1, T1)) <=> (organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1))), (((((organization(X, T1) & organization(Y, T2)) & reliability(X, R1, T1)) & reliability(Y, R2, T2)) & accountability(X, A1, T1)) <=> (organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1)))), ((((((organization(X, T1) & organization(Y, T2)) & reliability(X, R1, T1)) & reliability(Y, R2, T2)) & accountability(X, A1, T1)) & accountability(Y, A2, T2)) <=> ((organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1)) & accountability(Y, A2, T2)))), rewrite(((organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1)) & accountability(Y, A2, T2)) <=> (organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2))), ((((((organization(X, T1) & organization(Y, T2)) & reliability(X, R1, T1)) & reliability(Y, R2, T2)) & accountability(X, A1, T1)) & accountability(Y, A2, T2)) <=> (organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2)))), (((((((organization(X, T1) & organization(Y, T2)) & reliability(X, R1, T1)) & reliability(Y, R2, T2)) & accountability(X, A1, T1)) & accountability(Y, A2, T2)) & reproducibility(X, Rp1, T1)) <=> ((organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2)) & reproducibility(X, Rp1, T1)))), rewrite(((organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2)) & reproducibility(X, Rp1, T1)) <=> (organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & reproducibility(X, Rp1, T1))), (((((((organization(X, T1) & organization(Y, T2)) & reliability(X, R1, T1)) & reliability(Y, R2, T2)) & accountability(X, A1, T1)) & accountability(Y, A2, T2)) & reproducibility(X, Rp1, T1)) <=> (organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & reproducibility(X, Rp1, T1)))), ((((((((organization(X, T1) & organization(Y, T2)) & reliability(X, R1, T1)) & reliability(Y, R2, T2)) & accountability(X, A1, T1)) & accountability(Y, A2, T2)) & reproducibility(X, Rp1, T1)) & reproducibility(Y, Rp2, T2)) <=> ((organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & reproducibility(X, Rp1, T1)) & reproducibility(Y, Rp2, T2)))), rewrite(((organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & reproducibility(X, Rp1, T1)) & reproducibility(Y, Rp2, T2)) <=> (organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2))), ((((((((organization(X, T1) & organization(Y, T2)) & reliability(X, R1, T1)) & reliability(Y, R2, T2)) & accountability(X, A1, T1)) & accountability(Y, A2, T2)) & reproducibility(X, Rp1, T1)) & reproducibility(Y, Rp2, T2)) <=> (organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2)))), (((((((((organization(X, T1) & organization(Y, T2)) & reliability(X, R1, T1)) & reliability(Y, R2, T2)) & accountability(X, A1, T1)) & accountability(Y, A2, T2)) & reproducibility(X, Rp1, T1)) & reproducibility(Y, Rp2, T2)) => (greater(Rp2, Rp1) <=> (greater(R2, R1) & greater(A2, A1)))) <=> ((organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2)) => (greater(Rp2, Rp1) <=> (greater(R2, R1) & greater(A2, A1)))))), rewrite(((organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2)) => (greater(Rp2, Rp1) <=> (greater(R2, R1) & greater(A2, A1)))) <=> ((~(organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2))) | (greater(Rp2, Rp1) <=> (greater(R2, R1) & greater(A2, A1))))), (((((((((organization(X, T1) & organization(Y, T2)) & reliability(X, R1, T1)) & reliability(Y, R2, T2)) & accountability(X, A1, T1)) & accountability(Y, A2, T2)) & reproducibility(X, Rp1, T1)) & reproducibility(Y, Rp2, T2)) => (greater(Rp2, Rp1) <=> (greater(R2, R1) & greater(A2, A1)))) <=> ((~(organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2))) | (greater(Rp2, Rp1) <=> (greater(R2, R1) & greater(A2, A1))))))),
% 0.18/0.40 inference(bind,[status(th)],[])).
% 0.18/0.40 tff(89,plain,
% 0.18/0.40 (![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((((((((organization(X, T1) & organization(Y, T2)) & reliability(X, R1, T1)) & reliability(Y, R2, T2)) & accountability(X, A1, T1)) & accountability(Y, A2, T2)) & reproducibility(X, Rp1, T1)) & reproducibility(Y, Rp2, T2)) => (greater(Rp2, Rp1) <=> (greater(R2, R1) & greater(A2, A1)))) <=> ![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2))) | (greater(Rp2, Rp1) <=> (greater(R2, R1) & greater(A2, A1))))),
% 0.18/0.41 inference(quant_intro,[status(thm)],[88])).
% 0.18/0.41 tff(90,axiom,(![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((((((((organization(X, T1) & organization(Y, T2)) & reliability(X, R1, T1)) & reliability(Y, R2, T2)) & accountability(X, A1, T1)) & accountability(Y, A2, T2)) & reproducibility(X, Rp1, T1)) & reproducibility(Y, Rp2, T2)) => (greater(Rp2, Rp1) <=> (greater(R2, R1) & greater(A2, A1))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','a2_FOL')).
% 0.18/0.41 tff(91,plain,
% 0.18/0.41 (![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2))) | (greater(Rp2, Rp1) <=> (greater(R2, R1) & greater(A2, A1))))),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[90, 89])).
% 0.18/0.41 tff(92,plain,
% 0.18/0.41 (![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2))) | (greater(Rp2, Rp1) <=> (greater(R2, R1) & greater(A2, A1))))),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[91, 87])).
% 0.18/0.41 tff(93,plain,(
% 0.18/0.41 ![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2))) | (greater(Rp2, Rp1) <=> (greater(R2, R1) & greater(A2, A1))))),
% 0.18/0.41 inference(skolemize,[status(sab)],[92])).
% 0.18/0.41 tff(94,plain,
% 0.18/0.41 (![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (greater(Rp2, Rp1) <=> (~((~greater(R2, R1)) | (~greater(A2, A1))))))),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[93, 86])).
% 0.18/0.41 tff(95,plain,
% 0.18/0.41 (![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (greater(Rp2, Rp1) <=> (~((~greater(R2, R1)) | (~greater(A2, A1))))))),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[94, 84])).
% 0.18/0.41 tff(96,plain,
% 0.18/0.41 (((~![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (greater(Rp2, Rp1) <=> (~((~greater(R2, R1)) | (~greater(A2, A1))))))) | ((~organization(X!9, T1!6)) | (~organization(X!9, T2!5)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~reproducibility(X!9, Rp1!8, T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~reproducibility(X!9, Rp2!7, T2!5)) | (greater(Rp1!8, Rp2!7) <=> (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9)))))))) <=> ((~![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (greater(Rp2, Rp1) <=> (~((~greater(R2, R1)) | (~greater(A2, A1))))))) | (~organization(X!9, T1!6)) | (~organization(X!9, T2!5)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~reproducibility(X!9, Rp1!8, T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~reproducibility(X!9, Rp2!7, T2!5)) | (greater(Rp1!8, Rp2!7) <=> (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9)))))))),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(97,plain,
% 0.18/0.41 (((~organization(X!9, T2!5)) | (~organization(X!9, T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~reproducibility(X!9, Rp2!7, T2!5)) | (~reproducibility(X!9, Rp1!8, T1!6)) | (greater(Rp1!8, Rp2!7) <=> (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9))))))) <=> ((~organization(X!9, T1!6)) | (~organization(X!9, T2!5)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~reproducibility(X!9, Rp1!8, T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~reproducibility(X!9, Rp2!7, T2!5)) | (greater(Rp1!8, Rp2!7) <=> (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9)))))))),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(98,plain,
% 0.18/0.41 ((greater(Rp1!8, Rp2!7) <=> (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9)))))) <=> (greater(Rp1!8, Rp2!7) <=> (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9))))))),
% 0.18/0.41 inference(monotonicity,[status(thm)],[70])).
% 0.18/0.41 tff(99,plain,
% 0.18/0.41 (((~organization(X!9, T2!5)) | (~organization(X!9, T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~reproducibility(X!9, Rp2!7, T2!5)) | (~reproducibility(X!9, Rp1!8, T1!6)) | (greater(Rp1!8, Rp2!7) <=> (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9))))))) <=> ((~organization(X!9, T2!5)) | (~organization(X!9, T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~reproducibility(X!9, Rp2!7, T2!5)) | (~reproducibility(X!9, Rp1!8, T1!6)) | (greater(Rp1!8, Rp2!7) <=> (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9)))))))),
% 0.18/0.41 inference(monotonicity,[status(thm)],[98])).
% 0.18/0.41 tff(100,plain,
% 0.18/0.41 (((~organization(X!9, T2!5)) | (~organization(X!9, T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~reproducibility(X!9, Rp2!7, T2!5)) | (~reproducibility(X!9, Rp1!8, T1!6)) | (greater(Rp1!8, Rp2!7) <=> (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9))))))) <=> ((~organization(X!9, T1!6)) | (~organization(X!9, T2!5)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~reproducibility(X!9, Rp1!8, T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~reproducibility(X!9, Rp2!7, T2!5)) | (greater(Rp1!8, Rp2!7) <=> (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9)))))))),
% 0.18/0.42 inference(transitivity,[status(thm)],[99, 97])).
% 0.18/0.42 tff(101,plain,
% 0.18/0.42 (((~![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (greater(Rp2, Rp1) <=> (~((~greater(R2, R1)) | (~greater(A2, A1))))))) | ((~organization(X!9, T2!5)) | (~organization(X!9, T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~reproducibility(X!9, Rp2!7, T2!5)) | (~reproducibility(X!9, Rp1!8, T1!6)) | (greater(Rp1!8, Rp2!7) <=> (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9)))))))) <=> ((~![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (greater(Rp2, Rp1) <=> (~((~greater(R2, R1)) | (~greater(A2, A1))))))) | ((~organization(X!9, T1!6)) | (~organization(X!9, T2!5)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~reproducibility(X!9, Rp1!8, T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~reproducibility(X!9, Rp2!7, T2!5)) | (greater(Rp1!8, Rp2!7) <=> (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9))))))))),
% 0.18/0.42 inference(monotonicity,[status(thm)],[100])).
% 0.18/0.42 tff(102,plain,
% 0.18/0.42 (((~![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (greater(Rp2, Rp1) <=> (~((~greater(R2, R1)) | (~greater(A2, A1))))))) | ((~organization(X!9, T2!5)) | (~organization(X!9, T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~reproducibility(X!9, Rp2!7, T2!5)) | (~reproducibility(X!9, Rp1!8, T1!6)) | (greater(Rp1!8, Rp2!7) <=> (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9)))))))) <=> ((~![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (greater(Rp2, Rp1) <=> (~((~greater(R2, R1)) | (~greater(A2, A1))))))) | (~organization(X!9, T1!6)) | (~organization(X!9, T2!5)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~reproducibility(X!9, Rp1!8, T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~reproducibility(X!9, Rp2!7, T2!5)) | (greater(Rp1!8, Rp2!7) <=> (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9)))))))),
% 0.18/0.42 inference(transitivity,[status(thm)],[101, 96])).
% 0.18/0.42 tff(103,plain,
% 0.18/0.42 ((~![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (greater(Rp2, Rp1) <=> (~((~greater(R2, R1)) | (~greater(A2, A1))))))) | ((~organization(X!9, T2!5)) | (~organization(X!9, T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~reproducibility(X!9, Rp2!7, T2!5)) | (~reproducibility(X!9, Rp1!8, T1!6)) | (greater(Rp1!8, Rp2!7) <=> (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9)))))))),
% 0.18/0.42 inference(quant_inst,[status(thm)],[])).
% 0.18/0.42 tff(104,plain,
% 0.18/0.42 ((~![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (greater(Rp2, Rp1) <=> (~((~greater(R2, R1)) | (~greater(A2, A1))))))) | (~organization(X!9, T1!6)) | (~organization(X!9, T2!5)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~reproducibility(X!9, Rp1!8, T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~reproducibility(X!9, Rp2!7, T2!5)) | (greater(Rp1!8, Rp2!7) <=> (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9))))))),
% 0.18/0.42 inference(modus_ponens,[status(thm)],[103, 102])).
% 0.18/0.42 tff(105,plain,
% 0.18/0.42 ($false),
% 0.18/0.42 inference(unit_resolution,[status(thm)],[104, 95, 42, 13, 82, 81, 50, 46, 41, 27, 80])).
% 0.18/0.42 % SZS output end Proof
%------------------------------------------------------------------------------