TSTP Solution File: MGT014+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : MGT014+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n001.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 05:21:50 EDT 2022
% Result : Theorem 0.13s 0.39s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : MGT014+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Sep 2 03:00:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34 Usage: tptp [options] [-file:]file
% 0.13/0.34 -h, -? prints this message.
% 0.13/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.34 -m, -model generate model.
% 0.13/0.34 -p, -proof generate proof.
% 0.13/0.34 -c, -core generate unsat core of named formulas.
% 0.13/0.34 -st, -statistics display statistics.
% 0.13/0.34 -t:timeout set timeout (in second).
% 0.13/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34 -<param>:<value> configuration parameter and value.
% 0.13/0.34 -o:<output-file> file to place output in.
% 0.13/0.39 % SZS status Theorem
% 0.13/0.39 % SZS output start Proof
% 0.13/0.39 tff(greater_type, type, (
% 0.13/0.39 greater: ( $i * $i ) > $o)).
% 0.13/0.39 tff(tptp_fun_T2_0_type, type, (
% 0.13/0.39 tptp_fun_T2_0: $i)).
% 0.13/0.39 tff(tptp_fun_T1_1_type, type, (
% 0.13/0.39 tptp_fun_T1_1: $i)).
% 0.13/0.39 tff(reorganization_free_type, type, (
% 0.13/0.39 reorganization_free: ( $i * $i * $i ) > $o)).
% 0.13/0.39 tff(tptp_fun_X_6_type, type, (
% 0.13/0.39 tptp_fun_X_6: $i)).
% 0.13/0.39 tff(tptp_fun_S1_3_type, type, (
% 0.13/0.39 tptp_fun_S1_3: $i)).
% 0.13/0.39 tff(tptp_fun_S2_2_type, type, (
% 0.13/0.39 tptp_fun_S2_2: $i)).
% 0.13/0.39 tff(size_type, type, (
% 0.13/0.39 size: ( $i * $i * $i ) > $o)).
% 0.13/0.39 tff(complexity_type, type, (
% 0.13/0.39 complexity: ( $i * $i * $i ) > $o)).
% 0.13/0.39 tff(tptp_fun_C2_4_type, type, (
% 0.13/0.39 tptp_fun_C2_4: $i)).
% 0.13/0.39 tff(tptp_fun_C1_5_type, type, (
% 0.13/0.39 tptp_fun_C1_5: $i)).
% 0.13/0.39 tff(organization_type, type, (
% 0.13/0.39 organization: ( $i * $i ) > $o)).
% 0.13/0.39 tff(time_type, type, (
% 0.13/0.39 time: $i > $o)).
% 0.13/0.39 tff(1,plain,
% 0.13/0.39 ((~![X: $i, C1: $i, C2: $i, S1: $i, S2: $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) & size(X, S1, T1) & size(X, S2, T2) & greater(S2, S1))))) <=> (~![X: $i, C1: $i, C2: $i, S1: $i, S2: $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) & size(X, S1, T1) & size(X, S2, T2) & greater(S2, S1)))))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(2,plain,
% 0.13/0.39 ((~![X: $i, C1: $i, C2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & complexity(X, C1, T1)) & complexity(X, C2, T2)) & size(X, S1, T1)) & size(X, S2, T2)) & greater(S2, S1)) => (~greater(C1, C2)))) <=> (~![X: $i, C1: $i, C2: $i, S1: $i, S2: $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) & size(X, S1, T1) & size(X, S2, T2) & greater(S2, S1)))))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(3,axiom,(~![X: $i, C1: $i, C2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & complexity(X, C1, T1)) & complexity(X, C2, T2)) & size(X, S1, T1)) & size(X, S2, T2)) & greater(S2, S1)) => (~greater(C1, C2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','t14_FOL')).
% 0.13/0.39 tff(4,plain,
% 0.13/0.39 (~![X: $i, C1: $i, C2: $i, S1: $i, S2: $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) & size(X, S1, T1) & size(X, S2, T2) & greater(S2, S1))))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.13/0.39 tff(5,plain,
% 0.13/0.39 (~![X: $i, C1: $i, C2: $i, S1: $i, S2: $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) & size(X, S1, T1) & size(X, S2, T2) & greater(S2, S1))))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[4, 1])).
% 0.13/0.39 tff(6,plain,
% 0.13/0.39 (~![X: $i, C1: $i, C2: $i, S1: $i, S2: $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) & size(X, S1, T1) & size(X, S2, T2) & greater(S2, S1))))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.13/0.39 tff(7,plain,
% 0.13/0.39 (~![X: $i, C1: $i, C2: $i, S1: $i, S2: $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) & size(X, S1, T1) & size(X, S2, T2) & greater(S2, S1))))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[6, 1])).
% 0.13/0.39 tff(8,plain,
% 0.13/0.39 (~![X: $i, C1: $i, C2: $i, S1: $i, S2: $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) & size(X, S1, T1) & size(X, S2, T2) & greater(S2, S1))))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[7, 1])).
% 0.13/0.39 tff(9,plain,
% 0.13/0.39 (~![X: $i, C1: $i, C2: $i, S1: $i, S2: $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) & size(X, S1, T1) & size(X, S2, T2) & greater(S2, S1))))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[8, 1])).
% 0.13/0.39 tff(10,plain,
% 0.13/0.39 (~![X: $i, C1: $i, C2: $i, S1: $i, S2: $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) & size(X, S1, T1) & size(X, S2, T2) & greater(S2, S1))))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[9, 1])).
% 0.13/0.39 tff(11,plain,(
% 0.13/0.39 ~((~greater(C1!5, C2!4)) | (~(organization(X!6, T1!1) & organization(X!6, T2!0) & reorganization_free(X!6, T1!1, T2!0) & complexity(X!6, C1!5, T1!1) & complexity(X!6, C2!4, T2!0) & size(X!6, S1!3, T1!1) & size(X!6, S2!2, T2!0) & greater(S2!2, S1!3))))),
% 0.13/0.39 inference(skolemize,[status(sab)],[10])).
% 0.13/0.39 tff(12,plain,
% 0.13/0.39 (organization(X!6, T1!1) & organization(X!6, T2!0) & reorganization_free(X!6, T1!1, T2!0) & complexity(X!6, C1!5, T1!1) & complexity(X!6, C2!4, T2!0) & size(X!6, S1!3, T1!1) & size(X!6, S2!2, T2!0) & greater(S2!2, S1!3)),
% 0.13/0.39 inference(or_elim,[status(thm)],[11])).
% 0.13/0.39 tff(13,plain,
% 0.13/0.39 (reorganization_free(X!6, T1!1, T2!0)),
% 0.13/0.39 inference(and_elim,[status(thm)],[12])).
% 0.13/0.39 tff(14,plain,
% 0.13/0.39 (^[X: $i, T1: $i, T2: $i] : refl(((~reorganization_free(X, T1, T2)) | reorganization_free(X, T2, T1)) <=> ((~reorganization_free(X, T1, T2)) | reorganization_free(X, T2, T1)))),
% 0.13/0.39 inference(bind,[status(th)],[])).
% 0.13/0.39 tff(15,plain,
% 0.13/0.39 (![X: $i, T1: $i, T2: $i] : ((~reorganization_free(X, T1, T2)) | reorganization_free(X, T2, T1)) <=> ![X: $i, T1: $i, T2: $i] : ((~reorganization_free(X, T1, T2)) | reorganization_free(X, T2, T1))),
% 0.13/0.39 inference(quant_intro,[status(thm)],[14])).
% 0.13/0.39 tff(16,plain,
% 0.13/0.39 (![X: $i, T1: $i, T2: $i] : ((~reorganization_free(X, T1, T2)) | reorganization_free(X, T2, T1)) <=> ![X: $i, T1: $i, T2: $i] : ((~reorganization_free(X, T1, T2)) | reorganization_free(X, T2, T1))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(17,plain,
% 0.13/0.39 (^[X: $i, T1: $i, T2: $i] : rewrite((reorganization_free(X, T1, T2) => reorganization_free(X, T2, T1)) <=> ((~reorganization_free(X, T1, T2)) | reorganization_free(X, T2, T1)))),
% 0.13/0.39 inference(bind,[status(th)],[])).
% 0.13/0.39 tff(18,plain,
% 0.13/0.39 (![X: $i, T1: $i, T2: $i] : (reorganization_free(X, T1, T2) => reorganization_free(X, T2, T1)) <=> ![X: $i, T1: $i, T2: $i] : ((~reorganization_free(X, T1, T2)) | reorganization_free(X, T2, T1))),
% 0.13/0.39 inference(quant_intro,[status(thm)],[17])).
% 0.13/0.39 tff(19,axiom,(![X: $i, T1: $i, T2: $i] : (reorganization_free(X, T1, T2) => reorganization_free(X, T2, T1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp17')).
% 0.13/0.39 tff(20,plain,
% 0.13/0.39 (![X: $i, T1: $i, T2: $i] : ((~reorganization_free(X, T1, T2)) | reorganization_free(X, T2, T1))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[19, 18])).
% 0.13/0.39 tff(21,plain,
% 0.13/0.39 (![X: $i, T1: $i, T2: $i] : ((~reorganization_free(X, T1, T2)) | reorganization_free(X, T2, T1))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[20, 16])).
% 0.13/0.39 tff(22,plain,(
% 0.13/0.39 ![X: $i, T1: $i, T2: $i] : ((~reorganization_free(X, T1, T2)) | reorganization_free(X, T2, T1))),
% 0.13/0.39 inference(skolemize,[status(sab)],[21])).
% 0.13/0.39 tff(23,plain,
% 0.13/0.39 (![X: $i, T1: $i, T2: $i] : ((~reorganization_free(X, T1, T2)) | reorganization_free(X, T2, T1))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[22, 15])).
% 0.13/0.39 tff(24,plain,
% 0.13/0.39 (((~![X: $i, T1: $i, T2: $i] : ((~reorganization_free(X, T1, T2)) | reorganization_free(X, T2, T1))) | ((~reorganization_free(X!6, T1!1, T2!0)) | reorganization_free(X!6, T2!0, T1!1))) <=> ((~![X: $i, T1: $i, T2: $i] : ((~reorganization_free(X, T1, T2)) | reorganization_free(X, T2, T1))) | (~reorganization_free(X!6, T1!1, T2!0)) | reorganization_free(X!6, T2!0, T1!1))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(25,plain,
% 0.13/0.39 ((~![X: $i, T1: $i, T2: $i] : ((~reorganization_free(X, T1, T2)) | reorganization_free(X, T2, T1))) | ((~reorganization_free(X!6, T1!1, T2!0)) | reorganization_free(X!6, T2!0, T1!1))),
% 0.13/0.39 inference(quant_inst,[status(thm)],[])).
% 0.13/0.39 tff(26,plain,
% 0.13/0.39 ((~![X: $i, T1: $i, T2: $i] : ((~reorganization_free(X, T1, T2)) | reorganization_free(X, T2, T1))) | (~reorganization_free(X!6, T1!1, T2!0)) | reorganization_free(X!6, T2!0, T1!1)),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[25, 24])).
% 0.13/0.39 tff(27,plain,
% 0.13/0.39 (reorganization_free(X!6, T2!0, T1!1)),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[26, 23, 13])).
% 0.13/0.39 tff(28,plain,
% 0.13/0.39 (greater(S2!2, S1!3)),
% 0.13/0.39 inference(and_elim,[status(thm)],[12])).
% 0.13/0.39 tff(29,plain,
% 0.13/0.39 (size(X!6, S2!2, T2!0)),
% 0.13/0.39 inference(and_elim,[status(thm)],[12])).
% 0.13/0.39 tff(30,plain,
% 0.13/0.39 (size(X!6, S1!3, T1!1)),
% 0.13/0.39 inference(and_elim,[status(thm)],[12])).
% 0.13/0.39 tff(31,plain,
% 0.13/0.39 (organization(X!6, T2!0)),
% 0.13/0.39 inference(and_elim,[status(thm)],[12])).
% 0.13/0.39 tff(32,plain,
% 0.13/0.39 (organization(X!6, T1!1)),
% 0.13/0.39 inference(and_elim,[status(thm)],[12])).
% 0.13/0.39 tff(33,plain,
% 0.13/0.39 (^[X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : refl(((~greater(S1, S2)) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)) | (~reorganization_free(X, T1, T2))) <=> ((~greater(S1, S2)) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)) | (~reorganization_free(X, T1, T2))))),
% 0.13/0.39 inference(bind,[status(th)],[])).
% 0.13/0.39 tff(34,plain,
% 0.13/0.39 (![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~greater(S1, S2)) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)) | (~reorganization_free(X, T1, T2))) <=> ![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~greater(S1, S2)) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)) | (~reorganization_free(X, T1, T2)))),
% 0.13/0.39 inference(quant_intro,[status(thm)],[33])).
% 0.13/0.39 tff(35,plain,
% 0.13/0.39 (^[X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1) & size(X, S2, T2) & greater(T2, T1)) <=> (~((~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)) | (~reorganization_free(X, T1, T2))))), ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1) & size(X, S2, T2) & greater(T2, T1))) <=> (~(~((~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)) | (~reorganization_free(X, T1, T2))))))), rewrite((~(~((~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)) | (~reorganization_free(X, T1, T2))))) <=> ((~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)) | (~reorganization_free(X, T1, T2)))), ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1) & size(X, S2, T2) & greater(T2, T1))) <=> ((~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)) | (~reorganization_free(X, T1, T2))))), (((~greater(S1, S2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1) & size(X, S2, T2) & greater(T2, T1)))) <=> ((~greater(S1, S2)) | ((~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)) | (~reorganization_free(X, T1, T2)))))), rewrite(((~greater(S1, S2)) | ((~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)) | (~reorganization_free(X, T1, T2)))) <=> ((~greater(S1, S2)) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)) | (~reorganization_free(X, T1, T2)))), (((~greater(S1, S2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1) & size(X, S2, T2) & greater(T2, T1)))) <=> ((~greater(S1, S2)) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)) | (~reorganization_free(X, T1, T2)))))),
% 0.13/0.40 inference(bind,[status(th)],[])).
% 0.13/0.40 tff(36,plain,
% 0.13/0.40 (![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~greater(S1, S2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1) & size(X, S2, T2) & greater(T2, T1)))) <=> ![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~greater(S1, S2)) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)) | (~reorganization_free(X, T1, T2)))),
% 0.13/0.40 inference(quant_intro,[status(thm)],[35])).
% 0.13/0.40 tff(37,plain,
% 0.13/0.40 (![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~greater(S1, S2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1) & size(X, S2, T2) & greater(T2, T1)))) <=> ![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~greater(S1, S2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1) & size(X, S2, T2) & greater(T2, T1))))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(38,plain,
% 0.13/0.40 (^[X: $i, S1: $i, S2: $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)) & size(X, S1, T1)) <=> ((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2)) & size(X, S1, T1)))), rewrite(((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2)) & size(X, S1, T1)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1))), ((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & size(X, S1, T1)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1)))), (((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & size(X, S1, T1)) & size(X, S2, T2)) <=> ((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1)) & size(X, S2, T2)))), rewrite(((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1)) & size(X, S2, T2)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1) & size(X, S2, T2))), (((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & size(X, S1, T1)) & size(X, S2, T2)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1) & size(X, S2, T2)))), ((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & size(X, S1, T1)) & size(X, S2, T2)) & greater(T2, T1)) <=> ((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1) & size(X, S2, T2)) & greater(T2, T1)))), rewrite(((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1) & size(X, S2, T2)) & greater(T2, T1)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1) & size(X, S2, T2) & greater(T2, T1))), ((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & size(X, S1, T1)) & size(X, S2, T2)) & greater(T2, T1)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1) & size(X, S2, T2) & greater(T2, T1)))), (((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & size(X, S1, T1)) & size(X, S2, T2)) & greater(T2, T1)) => (~greater(S1, S2))) <=> ((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1) & size(X, S2, T2) & greater(T2, T1)) => (~greater(S1, S2))))), rewrite(((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1) & size(X, S2, T2) & greater(T2, T1)) => (~greater(S1, S2))) <=> ((~greater(S1, S2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1) & size(X, S2, T2) & greater(T2, T1))))), (((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & size(X, S1, T1)) & size(X, S2, T2)) & greater(T2, T1)) => (~greater(S1, S2))) <=> ((~greater(S1, S2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1) & size(X, S2, T2) & greater(T2, T1))))))),
% 0.13/0.40 inference(bind,[status(th)],[])).
% 0.13/0.40 tff(39,plain,
% 0.13/0.40 (![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & size(X, S1, T1)) & size(X, S2, T2)) & greater(T2, T1)) => (~greater(S1, S2))) <=> ![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~greater(S1, S2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1) & size(X, S2, T2) & greater(T2, T1))))),
% 0.13/0.40 inference(quant_intro,[status(thm)],[38])).
% 0.13/0.40 tff(40,axiom,(![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & size(X, S1, T1)) & size(X, S2, T2)) & greater(T2, T1)) => (~greater(S1, S2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','t11_FOL')).
% 0.13/0.40 tff(41,plain,
% 0.13/0.40 (![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~greater(S1, S2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1) & size(X, S2, T2) & greater(T2, T1))))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[40, 39])).
% 0.13/0.40 tff(42,plain,
% 0.13/0.40 (![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~greater(S1, S2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1) & size(X, S2, T2) & greater(T2, T1))))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[41, 37])).
% 0.13/0.40 tff(43,plain,(
% 0.13/0.40 ![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~greater(S1, S2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & size(X, S1, T1) & size(X, S2, T2) & greater(T2, T1))))),
% 0.13/0.40 inference(skolemize,[status(sab)],[42])).
% 0.13/0.40 tff(44,plain,
% 0.13/0.40 (![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~greater(S1, S2)) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)) | (~reorganization_free(X, T1, T2)))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[43, 36])).
% 0.13/0.40 tff(45,plain,
% 0.13/0.40 (![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~greater(S1, S2)) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)) | (~reorganization_free(X, T1, T2)))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[44, 34])).
% 0.13/0.40 tff(46,plain,
% 0.13/0.40 (((~![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~greater(S1, S2)) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)) | (~reorganization_free(X, T1, T2)))) | ((~greater(S2!2, S1!3)) | (~organization(X!6, T1!1)) | (~organization(X!6, T2!0)) | (~size(X!6, S1!3, T1!1)) | (~size(X!6, S2!2, T2!0)) | (~greater(T1!1, T2!0)) | (~reorganization_free(X!6, T2!0, T1!1)))) <=> ((~![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~greater(S1, S2)) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)) | (~reorganization_free(X, T1, T2)))) | (~greater(S2!2, S1!3)) | (~organization(X!6, T1!1)) | (~organization(X!6, T2!0)) | (~size(X!6, S1!3, T1!1)) | (~size(X!6, S2!2, T2!0)) | (~greater(T1!1, T2!0)) | (~reorganization_free(X!6, T2!0, T1!1)))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(47,plain,
% 0.13/0.40 (((~greater(S2!2, S1!3)) | (~greater(T1!1, T2!0)) | (~organization(X!6, T2!0)) | (~organization(X!6, T1!1)) | (~size(X!6, S2!2, T2!0)) | (~size(X!6, S1!3, T1!1)) | (~reorganization_free(X!6, T2!0, T1!1))) <=> ((~greater(S2!2, S1!3)) | (~organization(X!6, T1!1)) | (~organization(X!6, T2!0)) | (~size(X!6, S1!3, T1!1)) | (~size(X!6, S2!2, T2!0)) | (~greater(T1!1, T2!0)) | (~reorganization_free(X!6, T2!0, T1!1)))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(48,plain,
% 0.13/0.40 (((~![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~greater(S1, S2)) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)) | (~reorganization_free(X, T1, T2)))) | ((~greater(S2!2, S1!3)) | (~greater(T1!1, T2!0)) | (~organization(X!6, T2!0)) | (~organization(X!6, T1!1)) | (~size(X!6, S2!2, T2!0)) | (~size(X!6, S1!3, T1!1)) | (~reorganization_free(X!6, T2!0, T1!1)))) <=> ((~![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~greater(S1, S2)) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)) | (~reorganization_free(X, T1, T2)))) | ((~greater(S2!2, S1!3)) | (~organization(X!6, T1!1)) | (~organization(X!6, T2!0)) | (~size(X!6, S1!3, T1!1)) | (~size(X!6, S2!2, T2!0)) | (~greater(T1!1, T2!0)) | (~reorganization_free(X!6, T2!0, T1!1))))),
% 0.13/0.40 inference(monotonicity,[status(thm)],[47])).
% 0.13/0.40 tff(49,plain,
% 0.13/0.40 (((~![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~greater(S1, S2)) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)) | (~reorganization_free(X, T1, T2)))) | ((~greater(S2!2, S1!3)) | (~greater(T1!1, T2!0)) | (~organization(X!6, T2!0)) | (~organization(X!6, T1!1)) | (~size(X!6, S2!2, T2!0)) | (~size(X!6, S1!3, T1!1)) | (~reorganization_free(X!6, T2!0, T1!1)))) <=> ((~![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~greater(S1, S2)) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)) | (~reorganization_free(X, T1, T2)))) | (~greater(S2!2, S1!3)) | (~organization(X!6, T1!1)) | (~organization(X!6, T2!0)) | (~size(X!6, S1!3, T1!1)) | (~size(X!6, S2!2, T2!0)) | (~greater(T1!1, T2!0)) | (~reorganization_free(X!6, T2!0, T1!1)))),
% 0.13/0.40 inference(transitivity,[status(thm)],[48, 46])).
% 0.13/0.40 tff(50,plain,
% 0.13/0.40 ((~![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~greater(S1, S2)) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)) | (~reorganization_free(X, T1, T2)))) | ((~greater(S2!2, S1!3)) | (~greater(T1!1, T2!0)) | (~organization(X!6, T2!0)) | (~organization(X!6, T1!1)) | (~size(X!6, S2!2, T2!0)) | (~size(X!6, S1!3, T1!1)) | (~reorganization_free(X!6, T2!0, T1!1)))),
% 0.13/0.40 inference(quant_inst,[status(thm)],[])).
% 0.13/0.40 tff(51,plain,
% 0.13/0.40 ((~![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~greater(S1, S2)) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)) | (~reorganization_free(X, T1, T2)))) | (~greater(S2!2, S1!3)) | (~organization(X!6, T1!1)) | (~organization(X!6, T2!0)) | (~size(X!6, S1!3, T1!1)) | (~size(X!6, S2!2, T2!0)) | (~greater(T1!1, T2!0)) | (~reorganization_free(X!6, T2!0, T1!1))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[50, 49])).
% 0.13/0.40 tff(52,plain,
% 0.13/0.40 (~greater(T1!1, T2!0)),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[51, 45, 32, 31, 30, 29, 28, 27])).
% 0.13/0.40 tff(53,plain,
% 0.13/0.40 ((T2!0 = T1!1) <=> (T1!1 = T2!0)),
% 0.13/0.40 inference(commutativity,[status(thm)],[])).
% 0.13/0.40 tff(54,plain,
% 0.13/0.40 ((~(T2!0 = T1!1)) <=> (~(T1!1 = T2!0))),
% 0.13/0.40 inference(monotonicity,[status(thm)],[53])).
% 0.13/0.40 tff(55,plain,
% 0.13/0.40 (^[X: $i, Y: $i] : refl(((~greater(X, Y)) | (~(X = Y))) <=> ((~greater(X, Y)) | (~(X = Y))))),
% 0.13/0.40 inference(bind,[status(th)],[])).
% 0.13/0.40 tff(56,plain,
% 0.13/0.40 (![X: $i, Y: $i] : ((~greater(X, Y)) | (~(X = Y))) <=> ![X: $i, Y: $i] : ((~greater(X, Y)) | (~(X = Y)))),
% 0.13/0.40 inference(quant_intro,[status(thm)],[55])).
% 0.13/0.40 tff(57,plain,
% 0.13/0.40 (^[X: $i, Y: $i] : trans(monotonicity(rewrite((greater(X, Y) & (X = Y)) <=> (~((~greater(X, Y)) | (~(X = Y))))), ((~(greater(X, Y) & (X = Y))) <=> (~(~((~greater(X, Y)) | (~(X = Y))))))), rewrite((~(~((~greater(X, Y)) | (~(X = Y))))) <=> ((~greater(X, Y)) | (~(X = Y)))), ((~(greater(X, Y) & (X = Y))) <=> ((~greater(X, Y)) | (~(X = Y)))))),
% 0.13/0.40 inference(bind,[status(th)],[])).
% 0.13/0.40 tff(58,plain,
% 0.13/0.40 (![X: $i, Y: $i] : (~(greater(X, Y) & (X = Y))) <=> ![X: $i, Y: $i] : ((~greater(X, Y)) | (~(X = Y)))),
% 0.13/0.40 inference(quant_intro,[status(thm)],[57])).
% 0.13/0.40 tff(59,plain,
% 0.13/0.40 (![X: $i, Y: $i] : (~(greater(X, Y) & (X = Y))) <=> ![X: $i, Y: $i] : (~(greater(X, Y) & (X = Y)))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(60,axiom,(![X: $i, Y: $i] : (~(greater(X, Y) & (X = Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp6_1')).
% 0.13/0.40 tff(61,plain,
% 0.13/0.40 (![X: $i, Y: $i] : (~(greater(X, Y) & (X = Y)))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[60, 59])).
% 0.13/0.40 tff(62,plain,(
% 0.13/0.40 ![X: $i, Y: $i] : (~(greater(X, Y) & (X = Y)))),
% 0.13/0.40 inference(skolemize,[status(sab)],[61])).
% 0.13/0.40 tff(63,plain,
% 0.13/0.40 (![X: $i, Y: $i] : ((~greater(X, Y)) | (~(X = Y)))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[62, 58])).
% 0.13/0.40 tff(64,plain,
% 0.13/0.40 (![X: $i, Y: $i] : ((~greater(X, Y)) | (~(X = Y)))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[63, 56])).
% 0.13/0.40 tff(65,plain,
% 0.13/0.40 (((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~(X = Y)))) | ((~greater(S2!2, S1!3)) | (~(S2!2 = S1!3)))) <=> ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~(X = Y)))) | (~greater(S2!2, S1!3)) | (~(S2!2 = S1!3)))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(66,plain,
% 0.13/0.40 ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~(X = Y)))) | ((~greater(S2!2, S1!3)) | (~(S2!2 = S1!3)))),
% 0.13/0.40 inference(quant_inst,[status(thm)],[])).
% 0.13/0.40 tff(67,plain,
% 0.13/0.40 ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~(X = Y)))) | (~greater(S2!2, S1!3)) | (~(S2!2 = S1!3))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[66, 65])).
% 0.13/0.40 tff(68,plain,
% 0.13/0.40 (~(S2!2 = S1!3)),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[67, 64, 28])).
% 0.13/0.40 tff(69,plain,
% 0.13/0.40 (^[X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : refl(((S1 = S2) | (~(T1 = T2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2))) <=> ((S1 = S2) | (~(T1 = T2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2))))),
% 0.13/0.40 inference(bind,[status(th)],[])).
% 0.13/0.40 tff(70,plain,
% 0.13/0.40 (![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((S1 = S2) | (~(T1 = T2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2))) <=> ![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((S1 = S2) | (~(T1 = T2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)))),
% 0.13/0.40 inference(quant_intro,[status(thm)],[69])).
% 0.13/0.40 tff(71,plain,
% 0.13/0.40 (^[X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X, T1) & organization(X, T2) & size(X, S1, T1) & size(X, S2, T2) & (T1 = T2)) <=> (~((~(T1 = T2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2))))), ((~(organization(X, T1) & organization(X, T2) & size(X, S1, T1) & size(X, S2, T2) & (T1 = T2))) <=> (~(~((~(T1 = T2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2))))))), rewrite((~(~((~(T1 = T2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2))))) <=> ((~(T1 = T2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)))), ((~(organization(X, T1) & organization(X, T2) & size(X, S1, T1) & size(X, S2, T2) & (T1 = T2))) <=> ((~(T1 = T2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2))))), (((~(organization(X, T1) & organization(X, T2) & size(X, S1, T1) & size(X, S2, T2) & (T1 = T2))) | (S1 = S2)) <=> (((~(T1 = T2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2))) | (S1 = S2)))), rewrite((((~(T1 = T2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2))) | (S1 = S2)) <=> ((S1 = S2) | (~(T1 = T2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)))), (((~(organization(X, T1) & organization(X, T2) & size(X, S1, T1) & size(X, S2, T2) & (T1 = T2))) | (S1 = S2)) <=> ((S1 = S2) | (~(T1 = T2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)))))),
% 0.13/0.40 inference(bind,[status(th)],[])).
% 0.13/0.40 tff(72,plain,
% 0.13/0.40 (![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(X, T2) & size(X, S1, T1) & size(X, S2, T2) & (T1 = T2))) | (S1 = S2)) <=> ![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((S1 = S2) | (~(T1 = T2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)))),
% 0.13/0.41 inference(quant_intro,[status(thm)],[71])).
% 0.13/0.41 tff(73,plain,
% 0.13/0.41 (![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(X, T2) & size(X, S1, T1) & size(X, S2, T2) & (T1 = T2))) | (S1 = S2)) <=> ![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(X, T2) & size(X, S1, T1) & size(X, S2, T2) & (T1 = T2))) | (S1 = S2))),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(74,plain,
% 0.13/0.41 (^[X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((organization(X, T1) & organization(X, T2)) & size(X, S1, T1)) <=> (organization(X, T1) & organization(X, T2) & size(X, S1, T1))), ((((organization(X, T1) & organization(X, T2)) & size(X, S1, T1)) & size(X, S2, T2)) <=> ((organization(X, T1) & organization(X, T2) & size(X, S1, T1)) & size(X, S2, T2)))), rewrite(((organization(X, T1) & organization(X, T2) & size(X, S1, T1)) & size(X, S2, T2)) <=> (organization(X, T1) & organization(X, T2) & size(X, S1, T1) & size(X, S2, T2))), ((((organization(X, T1) & organization(X, T2)) & size(X, S1, T1)) & size(X, S2, T2)) <=> (organization(X, T1) & organization(X, T2) & size(X, S1, T1) & size(X, S2, T2)))), (((((organization(X, T1) & organization(X, T2)) & size(X, S1, T1)) & size(X, S2, T2)) & (T1 = T2)) <=> ((organization(X, T1) & organization(X, T2) & size(X, S1, T1) & size(X, S2, T2)) & (T1 = T2)))), rewrite(((organization(X, T1) & organization(X, T2) & size(X, S1, T1) & size(X, S2, T2)) & (T1 = T2)) <=> (organization(X, T1) & organization(X, T2) & size(X, S1, T1) & size(X, S2, T2) & (T1 = T2))), (((((organization(X, T1) & organization(X, T2)) & size(X, S1, T1)) & size(X, S2, T2)) & (T1 = T2)) <=> (organization(X, T1) & organization(X, T2) & size(X, S1, T1) & size(X, S2, T2) & (T1 = T2)))), ((((((organization(X, T1) & organization(X, T2)) & size(X, S1, T1)) & size(X, S2, T2)) & (T1 = T2)) => (S1 = S2)) <=> ((organization(X, T1) & organization(X, T2) & size(X, S1, T1) & size(X, S2, T2) & (T1 = T2)) => (S1 = S2)))), rewrite(((organization(X, T1) & organization(X, T2) & size(X, S1, T1) & size(X, S2, T2) & (T1 = T2)) => (S1 = S2)) <=> ((~(organization(X, T1) & organization(X, T2) & size(X, S1, T1) & size(X, S2, T2) & (T1 = T2))) | (S1 = S2))), ((((((organization(X, T1) & organization(X, T2)) & size(X, S1, T1)) & size(X, S2, T2)) & (T1 = T2)) => (S1 = S2)) <=> ((~(organization(X, T1) & organization(X, T2) & size(X, S1, T1) & size(X, S2, T2) & (T1 = T2))) | (S1 = S2))))),
% 0.13/0.41 inference(bind,[status(th)],[])).
% 0.13/0.41 tff(75,plain,
% 0.13/0.41 (![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : (((((organization(X, T1) & organization(X, T2)) & size(X, S1, T1)) & size(X, S2, T2)) & (T1 = T2)) => (S1 = S2)) <=> ![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(X, T2) & size(X, S1, T1) & size(X, S2, T2) & (T1 = T2))) | (S1 = S2))),
% 0.13/0.41 inference(quant_intro,[status(thm)],[74])).
% 0.13/0.41 tff(76,axiom,(![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : (((((organization(X, T1) & organization(X, T2)) & size(X, S1, T1)) & size(X, S2, T2)) & (T1 = T2)) => (S1 = S2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp19')).
% 0.13/0.41 tff(77,plain,
% 0.13/0.41 (![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(X, T2) & size(X, S1, T1) & size(X, S2, T2) & (T1 = T2))) | (S1 = S2))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[76, 75])).
% 0.13/0.41 tff(78,plain,
% 0.13/0.41 (![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(X, T2) & size(X, S1, T1) & size(X, S2, T2) & (T1 = T2))) | (S1 = S2))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[77, 73])).
% 0.13/0.41 tff(79,plain,(
% 0.13/0.41 ![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(X, T2) & size(X, S1, T1) & size(X, S2, T2) & (T1 = T2))) | (S1 = S2))),
% 0.13/0.41 inference(skolemize,[status(sab)],[78])).
% 0.13/0.41 tff(80,plain,
% 0.13/0.41 (![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((S1 = S2) | (~(T1 = T2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[79, 72])).
% 0.13/0.41 tff(81,plain,
% 0.13/0.41 (![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((S1 = S2) | (~(T1 = T2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[80, 70])).
% 0.13/0.41 tff(82,plain,
% 0.13/0.41 (((~![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((S1 = S2) | (~(T1 = T2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)))) | ((S2!2 = S1!3) | (~organization(X!6, T1!1)) | (~organization(X!6, T2!0)) | (~size(X!6, S1!3, T1!1)) | (~size(X!6, S2!2, T2!0)) | (~(T2!0 = T1!1)))) <=> ((~![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((S1 = S2) | (~(T1 = T2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)))) | (S2!2 = S1!3) | (~organization(X!6, T1!1)) | (~organization(X!6, T2!0)) | (~size(X!6, S1!3, T1!1)) | (~size(X!6, S2!2, T2!0)) | (~(T2!0 = T1!1)))),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(83,plain,
% 0.13/0.41 (((S2!2 = S1!3) | (~(T2!0 = T1!1)) | (~organization(X!6, T2!0)) | (~organization(X!6, T1!1)) | (~size(X!6, S2!2, T2!0)) | (~size(X!6, S1!3, T1!1))) <=> ((S2!2 = S1!3) | (~organization(X!6, T1!1)) | (~organization(X!6, T2!0)) | (~size(X!6, S1!3, T1!1)) | (~size(X!6, S2!2, T2!0)) | (~(T2!0 = T1!1)))),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(84,plain,
% 0.13/0.41 (((~![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((S1 = S2) | (~(T1 = T2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)))) | ((S2!2 = S1!3) | (~(T2!0 = T1!1)) | (~organization(X!6, T2!0)) | (~organization(X!6, T1!1)) | (~size(X!6, S2!2, T2!0)) | (~size(X!6, S1!3, T1!1)))) <=> ((~![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((S1 = S2) | (~(T1 = T2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)))) | ((S2!2 = S1!3) | (~organization(X!6, T1!1)) | (~organization(X!6, T2!0)) | (~size(X!6, S1!3, T1!1)) | (~size(X!6, S2!2, T2!0)) | (~(T2!0 = T1!1))))),
% 0.13/0.41 inference(monotonicity,[status(thm)],[83])).
% 0.13/0.41 tff(85,plain,
% 0.13/0.41 (((~![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((S1 = S2) | (~(T1 = T2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)))) | ((S2!2 = S1!3) | (~(T2!0 = T1!1)) | (~organization(X!6, T2!0)) | (~organization(X!6, T1!1)) | (~size(X!6, S2!2, T2!0)) | (~size(X!6, S1!3, T1!1)))) <=> ((~![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((S1 = S2) | (~(T1 = T2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)))) | (S2!2 = S1!3) | (~organization(X!6, T1!1)) | (~organization(X!6, T2!0)) | (~size(X!6, S1!3, T1!1)) | (~size(X!6, S2!2, T2!0)) | (~(T2!0 = T1!1)))),
% 0.13/0.41 inference(transitivity,[status(thm)],[84, 82])).
% 0.13/0.41 tff(86,plain,
% 0.13/0.41 ((~![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((S1 = S2) | (~(T1 = T2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)))) | ((S2!2 = S1!3) | (~(T2!0 = T1!1)) | (~organization(X!6, T2!0)) | (~organization(X!6, T1!1)) | (~size(X!6, S2!2, T2!0)) | (~size(X!6, S1!3, T1!1)))),
% 0.13/0.41 inference(quant_inst,[status(thm)],[])).
% 0.13/0.41 tff(87,plain,
% 0.13/0.41 ((~![X: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((S1 = S2) | (~(T1 = T2)) | (~organization(X, T1)) | (~organization(X, T2)) | (~size(X, S1, T1)) | (~size(X, S2, T2)))) | (S2!2 = S1!3) | (~organization(X!6, T1!1)) | (~organization(X!6, T2!0)) | (~size(X!6, S1!3, T1!1)) | (~size(X!6, S2!2, T2!0)) | (~(T2!0 = T1!1))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[86, 85])).
% 0.13/0.41 tff(88,plain,
% 0.13/0.41 (~(T2!0 = T1!1)),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[87, 81, 32, 31, 30, 29, 68])).
% 0.13/0.41 tff(89,plain,
% 0.13/0.41 (~(T1!1 = T2!0)),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[88, 54])).
% 0.13/0.41 tff(90,plain,
% 0.13/0.41 (complexity(X!6, C2!4, T2!0)),
% 0.13/0.41 inference(and_elim,[status(thm)],[12])).
% 0.13/0.41 tff(91,plain,
% 0.13/0.41 (complexity(X!6, C1!5, T1!1)),
% 0.13/0.41 inference(and_elim,[status(thm)],[12])).
% 0.13/0.41 tff(92,plain,
% 0.13/0.41 (greater(C1!5, C2!4)),
% 0.13/0.41 inference(or_elim,[status(thm)],[11])).
% 0.13/0.41 tff(93,plain,
% 0.13/0.41 (^[X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : refl(((~greater(C1, C2)) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~complexity(X, C1, T1)) | (~complexity(X, C2, T2))) <=> ((~greater(C1, C2)) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~complexity(X, C1, T1)) | (~complexity(X, C2, T2))))),
% 0.13/0.41 inference(bind,[status(th)],[])).
% 0.13/0.41 tff(94,plain,
% 0.13/0.41 (![X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : ((~greater(C1, C2)) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~complexity(X, C1, T1)) | (~complexity(X, C2, T2))) <=> ![X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : ((~greater(C1, C2)) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~complexity(X, C1, T1)) | (~complexity(X, C2, T2)))),
% 0.13/0.41 inference(quant_intro,[status(thm)],[93])).
% 0.13/0.41 tff(95,plain,
% 0.13/0.41 (^[X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2) & greater(T2, T1)) <=> (~((~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~complexity(X, C1, T1)) | (~complexity(X, C2, T2))))), ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2) & greater(T2, T1))) <=> (~(~((~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~complexity(X, C1, T1)) | (~complexity(X, C2, T2))))))), rewrite((~(~((~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~complexity(X, C1, T1)) | (~complexity(X, C2, T2))))) <=> ((~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~complexity(X, C1, T1)) | (~complexity(X, C2, T2)))), ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2) & greater(T2, T1))) <=> ((~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~complexity(X, C1, T1)) | (~complexity(X, C2, T2))))), (((~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)))) <=> ((~greater(C1, C2)) | ((~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~complexity(X, C1, T1)) | (~complexity(X, C2, T2)))))), rewrite(((~greater(C1, C2)) | ((~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~complexity(X, C1, T1)) | (~complexity(X, C2, T2)))) <=> ((~greater(C1, C2)) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~complexity(X, C1, T1)) | (~complexity(X, C2, T2)))), (((~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)))) <=> ((~greater(C1, C2)) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~complexity(X, C1, T1)) | (~complexity(X, C2, T2)))))),
% 0.13/0.41 inference(bind,[status(th)],[])).
% 0.13/0.41 tff(96,plain,
% 0.13/0.41 (![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)) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~complexity(X, C1, T1)) | (~complexity(X, C2, T2)))),
% 0.13/0.41 inference(quant_intro,[status(thm)],[95])).
% 0.13/0.41 tff(97,plain,
% 0.13/0.41 (![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))))),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(98,plain,
% 0.13/0.41 (^[X: $i, C1: $i, C2: $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)) & complexity(X, C1, T1)) <=> ((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2)) & complexity(X, C1, T1)))), rewrite(((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2)) & complexity(X, C1, T1)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1))), ((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & complexity(X, C1, T1)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1)))), (((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & complexity(X, C1, T1)) & complexity(X, C2, T2)) <=> ((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1)) & complexity(X, C2, T2)))), rewrite(((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1)) & complexity(X, C2, T2)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2))), (((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & complexity(X, C1, T1)) & complexity(X, C2, T2)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2)))), ((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & complexity(X, C1, T1)) & complexity(X, C2, T2)) & greater(T2, T1)) <=> ((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2)) & greater(T2, T1)))), rewrite(((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2)) & greater(T2, T1)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2) & greater(T2, T1))), ((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & complexity(X, C1, T1)) & complexity(X, C2, T2)) & greater(T2, T1)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2) & greater(T2, T1)))), (((((((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))) <=> ((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))))), rewrite(((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))) <=> ((~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))))), (((((((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))) <=> ((~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))))))),
% 0.13/0.41 inference(bind,[status(th)],[])).
% 0.13/0.41 tff(99,plain,
% 0.13/0.41 (![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))))),
% 0.13/0.42 inference(quant_intro,[status(thm)],[98])).
% 0.13/0.42 tff(100,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/sandbox/benchmark/theBenchmark.p','t12_FOL')).
% 0.13/0.42 tff(101,plain,
% 0.13/0.42 (![X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : ((~greater(C1, C2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2) & greater(T2, T1))))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[100, 99])).
% 0.13/0.42 tff(102,plain,
% 0.13/0.42 (![X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : ((~greater(C1, C2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2) & greater(T2, T1))))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[101, 97])).
% 0.13/0.42 tff(103,plain,(
% 0.13/0.42 ![X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : ((~greater(C1, C2)) | (~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & complexity(X, C1, T1) & complexity(X, C2, T2) & greater(T2, T1))))),
% 0.13/0.42 inference(skolemize,[status(sab)],[102])).
% 0.13/0.42 tff(104,plain,
% 0.13/0.42 (![X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : ((~greater(C1, C2)) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~complexity(X, C1, T1)) | (~complexity(X, C2, T2)))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[103, 96])).
% 0.13/0.42 tff(105,plain,
% 0.13/0.42 (![X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : ((~greater(C1, C2)) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~complexity(X, C1, T1)) | (~complexity(X, C2, T2)))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[104, 94])).
% 0.13/0.42 tff(106,plain,
% 0.13/0.42 (((~![X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : ((~greater(C1, C2)) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~complexity(X, C1, T1)) | (~complexity(X, C2, T2)))) | ((~greater(C1!5, C2!4)) | (~organization(X!6, T1!1)) | (~organization(X!6, T2!0)) | (~greater(T2!0, T1!1)) | (~reorganization_free(X!6, T1!1, T2!0)) | (~complexity(X!6, C1!5, T1!1)) | (~complexity(X!6, C2!4, T2!0)))) <=> ((~![X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : ((~greater(C1, C2)) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~complexity(X, C1, T1)) | (~complexity(X, C2, T2)))) | (~greater(C1!5, C2!4)) | (~organization(X!6, T1!1)) | (~organization(X!6, T2!0)) | (~greater(T2!0, T1!1)) | (~reorganization_free(X!6, T1!1, T2!0)) | (~complexity(X!6, C1!5, T1!1)) | (~complexity(X!6, C2!4, T2!0)))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(107,plain,
% 0.13/0.42 (((~greater(C1!5, C2!4)) | (~greater(T2!0, T1!1)) | (~organization(X!6, T1!1)) | (~organization(X!6, T2!0)) | (~reorganization_free(X!6, T1!1, T2!0)) | (~complexity(X!6, C1!5, T1!1)) | (~complexity(X!6, C2!4, T2!0))) <=> ((~greater(C1!5, C2!4)) | (~organization(X!6, T1!1)) | (~organization(X!6, T2!0)) | (~greater(T2!0, T1!1)) | (~reorganization_free(X!6, T1!1, T2!0)) | (~complexity(X!6, C1!5, T1!1)) | (~complexity(X!6, C2!4, T2!0)))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(108,plain,
% 0.13/0.42 (((~![X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : ((~greater(C1, C2)) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~complexity(X, C1, T1)) | (~complexity(X, C2, T2)))) | ((~greater(C1!5, C2!4)) | (~greater(T2!0, T1!1)) | (~organization(X!6, T1!1)) | (~organization(X!6, T2!0)) | (~reorganization_free(X!6, T1!1, T2!0)) | (~complexity(X!6, C1!5, T1!1)) | (~complexity(X!6, C2!4, T2!0)))) <=> ((~![X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : ((~greater(C1, C2)) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~complexity(X, C1, T1)) | (~complexity(X, C2, T2)))) | ((~greater(C1!5, C2!4)) | (~organization(X!6, T1!1)) | (~organization(X!6, T2!0)) | (~greater(T2!0, T1!1)) | (~reorganization_free(X!6, T1!1, T2!0)) | (~complexity(X!6, C1!5, T1!1)) | (~complexity(X!6, C2!4, T2!0))))),
% 0.20/0.42 inference(monotonicity,[status(thm)],[107])).
% 0.20/0.42 tff(109,plain,
% 0.20/0.42 (((~![X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : ((~greater(C1, C2)) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~complexity(X, C1, T1)) | (~complexity(X, C2, T2)))) | ((~greater(C1!5, C2!4)) | (~greater(T2!0, T1!1)) | (~organization(X!6, T1!1)) | (~organization(X!6, T2!0)) | (~reorganization_free(X!6, T1!1, T2!0)) | (~complexity(X!6, C1!5, T1!1)) | (~complexity(X!6, C2!4, T2!0)))) <=> ((~![X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : ((~greater(C1, C2)) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~complexity(X, C1, T1)) | (~complexity(X, C2, T2)))) | (~greater(C1!5, C2!4)) | (~organization(X!6, T1!1)) | (~organization(X!6, T2!0)) | (~greater(T2!0, T1!1)) | (~reorganization_free(X!6, T1!1, T2!0)) | (~complexity(X!6, C1!5, T1!1)) | (~complexity(X!6, C2!4, T2!0)))),
% 0.20/0.42 inference(transitivity,[status(thm)],[108, 106])).
% 0.20/0.42 tff(110,plain,
% 0.20/0.42 ((~![X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : ((~greater(C1, C2)) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~complexity(X, C1, T1)) | (~complexity(X, C2, T2)))) | ((~greater(C1!5, C2!4)) | (~greater(T2!0, T1!1)) | (~organization(X!6, T1!1)) | (~organization(X!6, T2!0)) | (~reorganization_free(X!6, T1!1, T2!0)) | (~complexity(X!6, C1!5, T1!1)) | (~complexity(X!6, C2!4, T2!0)))),
% 0.20/0.42 inference(quant_inst,[status(thm)],[])).
% 0.20/0.42 tff(111,plain,
% 0.20/0.42 ((~![X: $i, C1: $i, C2: $i, T1: $i, T2: $i] : ((~greater(C1, C2)) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~complexity(X, C1, T1)) | (~complexity(X, C2, T2)))) | (~greater(C1!5, C2!4)) | (~organization(X!6, T1!1)) | (~organization(X!6, T2!0)) | (~greater(T2!0, T1!1)) | (~reorganization_free(X!6, T1!1, T2!0)) | (~complexity(X!6, C1!5, T1!1)) | (~complexity(X!6, C2!4, T2!0))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[110, 109])).
% 0.20/0.42 tff(112,plain,
% 0.20/0.42 (~greater(T2!0, T1!1)),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[111, 105, 92, 32, 31, 13, 91, 90])).
% 0.20/0.42 tff(113,plain,
% 0.20/0.42 (^[X: $i, T: $i] : refl((time(T) | (~organization(X, T))) <=> (time(T) | (~organization(X, T))))),
% 0.20/0.42 inference(bind,[status(th)],[])).
% 0.20/0.42 tff(114,plain,
% 0.20/0.42 (![X: $i, T: $i] : (time(T) | (~organization(X, T))) <=> ![X: $i, T: $i] : (time(T) | (~organization(X, T)))),
% 0.20/0.42 inference(quant_intro,[status(thm)],[113])).
% 0.20/0.42 tff(115,plain,
% 0.20/0.42 (![X: $i, T: $i] : (time(T) | (~organization(X, T))) <=> ![X: $i, T: $i] : (time(T) | (~organization(X, T)))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(116,plain,
% 0.20/0.42 (^[X: $i, T: $i] : rewrite((organization(X, T) => time(T)) <=> (time(T) | (~organization(X, T))))),
% 0.20/0.42 inference(bind,[status(th)],[])).
% 0.20/0.42 tff(117,plain,
% 0.20/0.42 (![X: $i, T: $i] : (organization(X, T) => time(T)) <=> ![X: $i, T: $i] : (time(T) | (~organization(X, T)))),
% 0.20/0.42 inference(quant_intro,[status(thm)],[116])).
% 0.20/0.42 tff(118,axiom,(![X: $i, T: $i] : (organization(X, T) => time(T))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp15')).
% 0.20/0.42 tff(119,plain,
% 0.20/0.42 (![X: $i, T: $i] : (time(T) | (~organization(X, T)))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[118, 117])).
% 0.20/0.42 tff(120,plain,
% 0.20/0.42 (![X: $i, T: $i] : (time(T) | (~organization(X, T)))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[119, 115])).
% 0.20/0.42 tff(121,plain,(
% 0.20/0.42 ![X: $i, T: $i] : (time(T) | (~organization(X, T)))),
% 0.20/0.42 inference(skolemize,[status(sab)],[120])).
% 0.20/0.42 tff(122,plain,
% 0.20/0.42 (![X: $i, T: $i] : (time(T) | (~organization(X, T)))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[121, 114])).
% 0.20/0.42 tff(123,plain,
% 0.20/0.42 (((~![X: $i, T: $i] : (time(T) | (~organization(X, T)))) | (time(T2!0) | (~organization(X!6, T2!0)))) <=> ((~![X: $i, T: $i] : (time(T) | (~organization(X, T)))) | time(T2!0) | (~organization(X!6, T2!0)))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(124,plain,
% 0.20/0.42 ((~![X: $i, T: $i] : (time(T) | (~organization(X, T)))) | (time(T2!0) | (~organization(X!6, T2!0)))),
% 0.20/0.42 inference(quant_inst,[status(thm)],[])).
% 0.20/0.42 tff(125,plain,
% 0.20/0.42 ((~![X: $i, T: $i] : (time(T) | (~organization(X, T)))) | time(T2!0) | (~organization(X!6, T2!0))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[124, 123])).
% 0.20/0.42 tff(126,plain,
% 0.20/0.42 (time(T2!0)),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[125, 122, 31])).
% 0.20/0.42 tff(127,plain,
% 0.20/0.42 (((~![X: $i, T: $i] : (time(T) | (~organization(X, T)))) | (time(T1!1) | (~organization(X!6, T1!1)))) <=> ((~![X: $i, T: $i] : (time(T) | (~organization(X, T)))) | time(T1!1) | (~organization(X!6, T1!1)))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(128,plain,
% 0.20/0.42 ((~![X: $i, T: $i] : (time(T) | (~organization(X, T)))) | (time(T1!1) | (~organization(X!6, T1!1)))),
% 0.20/0.42 inference(quant_inst,[status(thm)],[])).
% 0.20/0.42 tff(129,plain,
% 0.20/0.42 ((~![X: $i, T: $i] : (time(T) | (~organization(X, T)))) | time(T1!1) | (~organization(X!6, T1!1))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[128, 127])).
% 0.20/0.42 tff(130,plain,
% 0.20/0.42 (time(T1!1)),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[129, 122, 32])).
% 0.20/0.42 tff(131,plain,
% 0.20/0.42 (^[T1: $i, T2: $i] : refl(((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~time(T1)) | (~time(T2))) <=> ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~time(T1)) | (~time(T2))))),
% 0.20/0.42 inference(bind,[status(th)],[])).
% 0.20/0.42 tff(132,plain,
% 0.20/0.42 (![T1: $i, T2: $i] : ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~time(T1)) | (~time(T2))) <=> ![T1: $i, T2: $i] : ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~time(T1)) | (~time(T2)))),
% 0.20/0.42 inference(quant_intro,[status(thm)],[131])).
% 0.20/0.42 tff(133,plain,
% 0.20/0.42 (^[T1: $i, T2: $i] : trans(monotonicity(trans(monotonicity(rewrite((time(T1) & time(T2)) <=> (~((~time(T1)) | (~time(T2))))), ((~(time(T1) & time(T2))) <=> (~(~((~time(T1)) | (~time(T2))))))), rewrite((~(~((~time(T1)) | (~time(T2))))) <=> ((~time(T1)) | (~time(T2)))), ((~(time(T1) & time(T2))) <=> ((~time(T1)) | (~time(T2))))), (((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~(time(T1) & time(T2)))) <=> ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | ((~time(T1)) | (~time(T2)))))), rewrite(((T1 = T2) | greater(T1, T2) | greater(T2, T1) | ((~time(T1)) | (~time(T2)))) <=> ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~time(T1)) | (~time(T2)))), (((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~(time(T1) & time(T2)))) <=> ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~time(T1)) | (~time(T2)))))),
% 0.20/0.42 inference(bind,[status(th)],[])).
% 0.20/0.42 tff(134,plain,
% 0.20/0.42 (![T1: $i, T2: $i] : ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~(time(T1) & time(T2)))) <=> ![T1: $i, T2: $i] : ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~time(T1)) | (~time(T2)))),
% 0.20/0.42 inference(quant_intro,[status(thm)],[133])).
% 0.20/0.42 tff(135,plain,
% 0.20/0.42 (![T1: $i, T2: $i] : ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~(time(T1) & time(T2)))) <=> ![T1: $i, T2: $i] : ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~(time(T1) & time(T2))))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(136,plain,
% 0.20/0.42 (^[T1: $i, T2: $i] : trans(monotonicity(trans(monotonicity(rewrite((greater(T1, T2) | (T1 = T2)) <=> ((T1 = T2) | greater(T1, T2))), (((greater(T1, T2) | (T1 = T2)) | greater(T2, T1)) <=> (((T1 = T2) | greater(T1, T2)) | greater(T2, T1)))), rewrite((((T1 = T2) | greater(T1, T2)) | greater(T2, T1)) <=> ((T1 = T2) | greater(T1, T2) | greater(T2, T1))), (((greater(T1, T2) | (T1 = T2)) | greater(T2, T1)) <=> ((T1 = T2) | greater(T1, T2) | greater(T2, T1)))), (((time(T1) & time(T2)) => ((greater(T1, T2) | (T1 = T2)) | greater(T2, T1))) <=> ((time(T1) & time(T2)) => ((T1 = T2) | greater(T1, T2) | greater(T2, T1))))), rewrite(((time(T1) & time(T2)) => ((T1 = T2) | greater(T1, T2) | greater(T2, T1))) <=> ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~(time(T1) & time(T2))))), (((time(T1) & time(T2)) => ((greater(T1, T2) | (T1 = T2)) | greater(T2, T1))) <=> ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~(time(T1) & time(T2))))))),
% 0.20/0.43 inference(bind,[status(th)],[])).
% 0.20/0.43 tff(137,plain,
% 0.20/0.43 (![T1: $i, T2: $i] : ((time(T1) & time(T2)) => ((greater(T1, T2) | (T1 = T2)) | greater(T2, T1))) <=> ![T1: $i, T2: $i] : ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~(time(T1) & time(T2))))),
% 0.20/0.43 inference(quant_intro,[status(thm)],[136])).
% 0.20/0.43 tff(138,axiom,(![T1: $i, T2: $i] : ((time(T1) & time(T2)) => ((greater(T1, T2) | (T1 = T2)) | greater(T2, T1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp16')).
% 0.20/0.43 tff(139,plain,
% 0.20/0.43 (![T1: $i, T2: $i] : ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~(time(T1) & time(T2))))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[138, 137])).
% 0.20/0.43 tff(140,plain,
% 0.20/0.43 (![T1: $i, T2: $i] : ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~(time(T1) & time(T2))))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[139, 135])).
% 0.20/0.43 tff(141,plain,(
% 0.20/0.43 ![T1: $i, T2: $i] : ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~(time(T1) & time(T2))))),
% 0.20/0.43 inference(skolemize,[status(sab)],[140])).
% 0.20/0.43 tff(142,plain,
% 0.20/0.43 (![T1: $i, T2: $i] : ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~time(T1)) | (~time(T2)))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[141, 134])).
% 0.20/0.43 tff(143,plain,
% 0.20/0.43 (![T1: $i, T2: $i] : ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~time(T1)) | (~time(T2)))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[142, 132])).
% 0.20/0.43 tff(144,plain,
% 0.20/0.43 (((~![T1: $i, T2: $i] : ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~time(T1)) | (~time(T2)))) | (greater(T2!0, T1!1) | (T1!1 = T2!0) | greater(T1!1, T2!0) | (~time(T1!1)) | (~time(T2!0)))) <=> ((~![T1: $i, T2: $i] : ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~time(T1)) | (~time(T2)))) | greater(T2!0, T1!1) | (T1!1 = T2!0) | greater(T1!1, T2!0) | (~time(T1!1)) | (~time(T2!0)))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(145,plain,
% 0.20/0.43 (((T1!1 = T2!0) | greater(T1!1, T2!0) | greater(T2!0, T1!1) | (~time(T1!1)) | (~time(T2!0))) <=> (greater(T2!0, T1!1) | (T1!1 = T2!0) | greater(T1!1, T2!0) | (~time(T1!1)) | (~time(T2!0)))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(146,plain,
% 0.20/0.43 (((~![T1: $i, T2: $i] : ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~time(T1)) | (~time(T2)))) | ((T1!1 = T2!0) | greater(T1!1, T2!0) | greater(T2!0, T1!1) | (~time(T1!1)) | (~time(T2!0)))) <=> ((~![T1: $i, T2: $i] : ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~time(T1)) | (~time(T2)))) | (greater(T2!0, T1!1) | (T1!1 = T2!0) | greater(T1!1, T2!0) | (~time(T1!1)) | (~time(T2!0))))),
% 0.20/0.43 inference(monotonicity,[status(thm)],[145])).
% 0.20/0.43 tff(147,plain,
% 0.20/0.43 (((~![T1: $i, T2: $i] : ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~time(T1)) | (~time(T2)))) | ((T1!1 = T2!0) | greater(T1!1, T2!0) | greater(T2!0, T1!1) | (~time(T1!1)) | (~time(T2!0)))) <=> ((~![T1: $i, T2: $i] : ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~time(T1)) | (~time(T2)))) | greater(T2!0, T1!1) | (T1!1 = T2!0) | greater(T1!1, T2!0) | (~time(T1!1)) | (~time(T2!0)))),
% 0.20/0.43 inference(transitivity,[status(thm)],[146, 144])).
% 0.20/0.43 tff(148,plain,
% 0.20/0.43 ((~![T1: $i, T2: $i] : ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~time(T1)) | (~time(T2)))) | ((T1!1 = T2!0) | greater(T1!1, T2!0) | greater(T2!0, T1!1) | (~time(T1!1)) | (~time(T2!0)))),
% 0.20/0.43 inference(quant_inst,[status(thm)],[])).
% 0.20/0.43 tff(149,plain,
% 0.20/0.43 ((~![T1: $i, T2: $i] : ((T1 = T2) | greater(T1, T2) | greater(T2, T1) | (~time(T1)) | (~time(T2)))) | greater(T2!0, T1!1) | (T1!1 = T2!0) | greater(T1!1, T2!0) | (~time(T1!1)) | (~time(T2!0))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[148, 147])).
% 0.20/0.43 tff(150,plain,
% 0.20/0.43 ($false),
% 0.20/0.43 inference(unit_resolution,[status(thm)],[149, 143, 130, 126, 112, 89, 52])).
% 0.20/0.43 % SZS output end Proof
%------------------------------------------------------------------------------