TSTP Solution File: PHI012+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : PHI012+1 : TPTP v8.1.0. Released v7.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n020.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 13:31:45 EDT 2022
% Result : Theorem 0.20s 0.39s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PHI012+1 : TPTP v8.1.0. Released v7.2.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Sep 2 17:00:14 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.35 Usage: tptp [options] [-file:]file
% 0.12/0.35 -h, -? prints this message.
% 0.12/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.35 -m, -model generate model.
% 0.12/0.35 -p, -proof generate proof.
% 0.12/0.35 -c, -core generate unsat core of named formulas.
% 0.12/0.35 -st, -statistics display statistics.
% 0.12/0.35 -t:timeout set timeout (in second).
% 0.12/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.35 -<param>:<value> configuration parameter and value.
% 0.12/0.35 -o:<output-file> file to place output in.
% 0.20/0.39 % SZS status Theorem
% 0.20/0.39 % SZS output start Proof
% 0.20/0.39 tff(exemplifies_relation_type, type, (
% 0.20/0.39 exemplifies_relation: ( $i * $i * $i ) > $o)).
% 0.20/0.39 tff(tptp_fun_Y_2_type, type, (
% 0.20/0.39 tptp_fun_Y_2: $i > $i)).
% 0.20/0.39 tff(tptp_fun_X_1_type, type, (
% 0.20/0.39 tptp_fun_X_1: $i)).
% 0.20/0.39 tff(greater_than_type, type, (
% 0.20/0.39 greater_than: $i)).
% 0.20/0.39 tff(exemplifies_property_type, type, (
% 0.20/0.39 exemplifies_property: ( $i * $i ) > $o)).
% 0.20/0.39 tff(conceivable_type, type, (
% 0.20/0.39 conceivable: $i)).
% 0.20/0.39 tff(object_type, type, (
% 0.20/0.39 object: $i > $o)).
% 0.20/0.39 tff(none_greater_type, type, (
% 0.20/0.39 none_greater: $i)).
% 0.20/0.39 tff(tptp_fun_Y_0_type, type, (
% 0.20/0.39 tptp_fun_Y_0: $i > $i)).
% 0.20/0.39 tff(1,plain,
% 0.20/0.39 (^[X: $i] : refl(((~object(X)) | (~exemplifies_property(none_greater, X)) | (~((tptp_fun_Y_2(X) = X) | (~object(tptp_fun_Y_2(X))) | (~exemplifies_property(none_greater, tptp_fun_Y_2(X)))))) <=> ((~object(X)) | (~exemplifies_property(none_greater, X)) | (~((tptp_fun_Y_2(X) = X) | (~object(tptp_fun_Y_2(X))) | (~exemplifies_property(none_greater, tptp_fun_Y_2(X)))))))),
% 0.20/0.39 inference(bind,[status(th)],[])).
% 0.20/0.39 tff(2,plain,
% 0.20/0.39 (![X: $i] : ((~object(X)) | (~exemplifies_property(none_greater, X)) | (~((tptp_fun_Y_2(X) = X) | (~object(tptp_fun_Y_2(X))) | (~exemplifies_property(none_greater, tptp_fun_Y_2(X)))))) <=> ![X: $i] : ((~object(X)) | (~exemplifies_property(none_greater, X)) | (~((tptp_fun_Y_2(X) = X) | (~object(tptp_fun_Y_2(X))) | (~exemplifies_property(none_greater, tptp_fun_Y_2(X))))))),
% 0.20/0.39 inference(quant_intro,[status(thm)],[1])).
% 0.20/0.39 tff(3,plain,
% 0.20/0.39 ((~?[X: $i] : (object(X) & exemplifies_property(none_greater, X) & ![Y: $i] : ((Y = X) | (~object(Y)) | (~exemplifies_property(none_greater, Y))))) <=> (~?[X: $i] : (object(X) & exemplifies_property(none_greater, X) & ![Y: $i] : ((Y = X) | (~object(Y)) | (~exemplifies_property(none_greater, Y)))))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(4,plain,
% 0.20/0.39 ((~(?[X: $i] : (object(X) & exemplifies_property(none_greater, X)) => ?[X: $i] : ((object(X) & exemplifies_property(none_greater, X)) & ![Y: $i] : (object(Y) => (exemplifies_property(none_greater, Y) => (Y = X)))))) <=> (~((~?[X: $i] : (object(X) & exemplifies_property(none_greater, X))) | ?[X: $i] : (object(X) & exemplifies_property(none_greater, X) & ![Y: $i] : ((Y = X) | (~object(Y)) | (~exemplifies_property(none_greater, Y))))))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(5,axiom,(~(?[X: $i] : (object(X) & exemplifies_property(none_greater, X)) => ?[X: $i] : ((object(X) & exemplifies_property(none_greater, X)) & ![Y: $i] : (object(Y) => (exemplifies_property(none_greater, Y) => (Y = X)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','lemma_2')).
% 0.20/0.39 tff(6,plain,
% 0.20/0.39 (~((~?[X: $i] : (object(X) & exemplifies_property(none_greater, X))) | ?[X: $i] : (object(X) & exemplifies_property(none_greater, X) & ![Y: $i] : ((Y = X) | (~object(Y)) | (~exemplifies_property(none_greater, Y)))))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[5, 4])).
% 0.20/0.39 tff(7,plain,
% 0.20/0.39 (~?[X: $i] : (object(X) & exemplifies_property(none_greater, X) & ![Y: $i] : ((Y = X) | (~object(Y)) | (~exemplifies_property(none_greater, Y))))),
% 0.20/0.39 inference(or_elim,[status(thm)],[6])).
% 0.20/0.39 tff(8,plain,
% 0.20/0.39 (~?[X: $i] : (object(X) & exemplifies_property(none_greater, X) & ![Y: $i] : ((Y = X) | (~object(Y)) | (~exemplifies_property(none_greater, Y))))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[7, 3])).
% 0.20/0.39 tff(9,plain,
% 0.20/0.39 (~?[X: $i] : (object(X) & exemplifies_property(none_greater, X) & ![Y: $i] : ((Y = X) | (~object(Y)) | (~exemplifies_property(none_greater, Y))))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[8, 3])).
% 0.20/0.39 tff(10,plain,
% 0.20/0.39 (~?[X: $i] : (object(X) & exemplifies_property(none_greater, X) & ![Y: $i] : ((Y = X) | (~object(Y)) | (~exemplifies_property(none_greater, Y))))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[9, 3])).
% 0.20/0.39 tff(11,plain,
% 0.20/0.39 (~?[X: $i] : (object(X) & exemplifies_property(none_greater, X) & ![Y: $i] : ((Y = X) | (~object(Y)) | (~exemplifies_property(none_greater, Y))))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[10, 3])).
% 0.20/0.39 tff(12,plain,
% 0.20/0.39 (~?[X: $i] : (object(X) & exemplifies_property(none_greater, X) & ![Y: $i] : ((Y = X) | (~object(Y)) | (~exemplifies_property(none_greater, Y))))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[11, 3])).
% 0.20/0.40 tff(13,plain,
% 0.20/0.40 (~?[X: $i] : (object(X) & exemplifies_property(none_greater, X) & ![Y: $i] : ((Y = X) | (~object(Y)) | (~exemplifies_property(none_greater, Y))))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[12, 3])).
% 0.20/0.40 tff(14,plain,
% 0.20/0.40 (^[X: $i] : nnf_neg(refl($oeq((~object(X)), (~object(X)))), refl($oeq((~exemplifies_property(none_greater, X)), (~exemplifies_property(none_greater, X)))), sk($oeq((~![Y: $i] : ((Y = X) | (~object(Y)) | (~exemplifies_property(none_greater, Y)))), (~((tptp_fun_Y_2(X) = X) | (~object(tptp_fun_Y_2(X))) | (~exemplifies_property(none_greater, tptp_fun_Y_2(X))))))), $oeq((~(object(X) & exemplifies_property(none_greater, X) & ![Y: $i] : ((Y = X) | (~object(Y)) | (~exemplifies_property(none_greater, Y))))), ((~object(X)) | (~exemplifies_property(none_greater, X)) | (~((tptp_fun_Y_2(X) = X) | (~object(tptp_fun_Y_2(X))) | (~exemplifies_property(none_greater, tptp_fun_Y_2(X))))))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(15,plain,(
% 0.20/0.40 ![X: $i] : ((~object(X)) | (~exemplifies_property(none_greater, X)) | (~((tptp_fun_Y_2(X) = X) | (~object(tptp_fun_Y_2(X))) | (~exemplifies_property(none_greater, tptp_fun_Y_2(X))))))),
% 0.20/0.40 inference(nnf-neg,[status(sab)],[13, 14])).
% 0.20/0.40 tff(16,plain,
% 0.20/0.40 (![X: $i] : ((~object(X)) | (~exemplifies_property(none_greater, X)) | (~((tptp_fun_Y_2(X) = X) | (~object(tptp_fun_Y_2(X))) | (~exemplifies_property(none_greater, tptp_fun_Y_2(X))))))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[15, 2])).
% 0.20/0.40 tff(17,plain,
% 0.20/0.40 (?[X: $i] : (object(X) & exemplifies_property(none_greater, X)) <=> ?[X: $i] : (object(X) & exemplifies_property(none_greater, X))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(18,plain,
% 0.20/0.40 (?[X: $i] : (object(X) & exemplifies_property(none_greater, X))),
% 0.20/0.40 inference(or_elim,[status(thm)],[6])).
% 0.20/0.40 tff(19,plain,
% 0.20/0.40 (?[X: $i] : (object(X) & exemplifies_property(none_greater, X))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[18, 17])).
% 0.20/0.40 tff(20,plain,(
% 0.20/0.40 object(X!1) & exemplifies_property(none_greater, X!1)),
% 0.20/0.40 inference(skolemize,[status(sab)],[19])).
% 0.20/0.40 tff(21,plain,
% 0.20/0.40 (exemplifies_property(none_greater, X!1)),
% 0.20/0.40 inference(and_elim,[status(thm)],[20])).
% 0.20/0.40 tff(22,plain,
% 0.20/0.40 (object(X!1)),
% 0.20/0.40 inference(and_elim,[status(thm)],[20])).
% 0.20/0.40 tff(23,plain,
% 0.20/0.40 (((~![X: $i] : ((~object(X)) | (~exemplifies_property(none_greater, X)) | (~((tptp_fun_Y_2(X) = X) | (~object(tptp_fun_Y_2(X))) | (~exemplifies_property(none_greater, tptp_fun_Y_2(X))))))) | ((~object(X!1)) | (~exemplifies_property(none_greater, X!1)) | (~((tptp_fun_Y_2(X!1) = X!1) | (~object(tptp_fun_Y_2(X!1))) | (~exemplifies_property(none_greater, tptp_fun_Y_2(X!1))))))) <=> ((~![X: $i] : ((~object(X)) | (~exemplifies_property(none_greater, X)) | (~((tptp_fun_Y_2(X) = X) | (~object(tptp_fun_Y_2(X))) | (~exemplifies_property(none_greater, tptp_fun_Y_2(X))))))) | (~object(X!1)) | (~exemplifies_property(none_greater, X!1)) | (~((tptp_fun_Y_2(X!1) = X!1) | (~object(tptp_fun_Y_2(X!1))) | (~exemplifies_property(none_greater, tptp_fun_Y_2(X!1))))))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(24,plain,
% 0.20/0.40 ((~![X: $i] : ((~object(X)) | (~exemplifies_property(none_greater, X)) | (~((tptp_fun_Y_2(X) = X) | (~object(tptp_fun_Y_2(X))) | (~exemplifies_property(none_greater, tptp_fun_Y_2(X))))))) | ((~object(X!1)) | (~exemplifies_property(none_greater, X!1)) | (~((tptp_fun_Y_2(X!1) = X!1) | (~object(tptp_fun_Y_2(X!1))) | (~exemplifies_property(none_greater, tptp_fun_Y_2(X!1))))))),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(25,plain,
% 0.20/0.40 ((~![X: $i] : ((~object(X)) | (~exemplifies_property(none_greater, X)) | (~((tptp_fun_Y_2(X) = X) | (~object(tptp_fun_Y_2(X))) | (~exemplifies_property(none_greater, tptp_fun_Y_2(X))))))) | (~object(X!1)) | (~exemplifies_property(none_greater, X!1)) | (~((tptp_fun_Y_2(X!1) = X!1) | (~object(tptp_fun_Y_2(X!1))) | (~exemplifies_property(none_greater, tptp_fun_Y_2(X!1)))))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.20/0.40 tff(26,plain,
% 0.20/0.40 (~((tptp_fun_Y_2(X!1) = X!1) | (~object(tptp_fun_Y_2(X!1))) | (~exemplifies_property(none_greater, tptp_fun_Y_2(X!1))))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[25, 22, 21, 16])).
% 0.20/0.40 tff(27,plain,
% 0.20/0.40 (((tptp_fun_Y_2(X!1) = X!1) | (~object(tptp_fun_Y_2(X!1))) | (~exemplifies_property(none_greater, tptp_fun_Y_2(X!1)))) | object(tptp_fun_Y_2(X!1))),
% 0.20/0.40 inference(tautology,[status(thm)],[])).
% 0.20/0.40 tff(28,plain,
% 0.20/0.40 (object(tptp_fun_Y_2(X!1))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[27, 26])).
% 0.20/0.40 tff(29,plain,
% 0.20/0.40 (^[X: $i] : rewrite(((~object(X)) | (~((~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))) | (~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X)))))))))) <=> ((~object(X)) | (~((~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X))))))) | (~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X))))))))))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(30,plain,
% 0.20/0.40 (![X: $i] : ((~object(X)) | (~((~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))) | (~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X)))))))))) <=> ![X: $i] : ((~object(X)) | (~((~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X))))))) | (~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))))))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[29])).
% 0.20/0.40 tff(31,plain,
% 0.20/0.40 (^[X: $i] : refl(((~object(X)) | (~((~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))) | (~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X)))))))))) <=> ((~object(X)) | (~((~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))) | (~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X)))))))))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(32,plain,
% 0.20/0.40 (![X: $i] : ((~object(X)) | (~((~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))) | (~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X)))))))))) <=> ![X: $i] : ((~object(X)) | (~((~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))) | (~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X))))))))))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[31])).
% 0.20/0.40 tff(33,plain,
% 0.20/0.40 (^[X: $i] : rewrite(((~object(X)) | (~((~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))) | (~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X)))))))))) <=> ((~object(X)) | (~((~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))) | (~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X)))))))))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(34,plain,
% 0.20/0.40 (![X: $i] : ((~object(X)) | (~((~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))) | (~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X)))))))))) <=> ![X: $i] : ((~object(X)) | (~((~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))) | (~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X))))))))))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[33])).
% 0.20/0.40 tff(35,plain,
% 0.20/0.40 (![X: $i] : ((~object(X)) | (~((~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))) | (~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X)))))))))) <=> ![X: $i] : ((~object(X)) | (~((~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))) | (~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X))))))))))),
% 0.20/0.40 inference(transitivity,[status(thm)],[34, 32])).
% 0.20/0.40 tff(36,plain,
% 0.20/0.40 (^[X: $i] : rewrite(((~object(X)) | (((~exemplifies_property(none_greater, X)) | (exemplifies_property(conceivable, X) & ![Y: $i] : (~(object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y))))) & (exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (object(tptp_fun_Y_0(X)) & exemplifies_relation(greater_than, tptp_fun_Y_0(X), X) & exemplifies_property(conceivable, tptp_fun_Y_0(X)))))) <=> ((~object(X)) | (~((~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))) | (~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X)))))))))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(37,plain,
% 0.20/0.40 (![X: $i] : ((~object(X)) | (((~exemplifies_property(none_greater, X)) | (exemplifies_property(conceivable, X) & ![Y: $i] : (~(object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y))))) & (exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (object(tptp_fun_Y_0(X)) & exemplifies_relation(greater_than, tptp_fun_Y_0(X), X) & exemplifies_property(conceivable, tptp_fun_Y_0(X)))))) <=> ![X: $i] : ((~object(X)) | (~((~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))) | (~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X))))))))))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[36])).
% 0.20/0.40 tff(38,plain,
% 0.20/0.40 (^[X: $i] : rewrite(((~object(X)) | (((~exemplifies_property(none_greater, X)) | (exemplifies_property(conceivable, X) & ![Y: $i] : (~(object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y))))) & (exemplifies_property(none_greater, X) | ((~exemplifies_property(conceivable, X)) | (object(tptp_fun_Y_0(X)) & exemplifies_relation(greater_than, tptp_fun_Y_0(X), X) & exemplifies_property(conceivable, tptp_fun_Y_0(X))))))) <=> ((~object(X)) | (((~exemplifies_property(none_greater, X)) | (exemplifies_property(conceivable, X) & ![Y: $i] : (~(object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y))))) & (exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (object(tptp_fun_Y_0(X)) & exemplifies_relation(greater_than, tptp_fun_Y_0(X), X) & exemplifies_property(conceivable, tptp_fun_Y_0(X)))))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(39,plain,
% 0.20/0.40 (![X: $i] : ((~object(X)) | (((~exemplifies_property(none_greater, X)) | (exemplifies_property(conceivable, X) & ![Y: $i] : (~(object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y))))) & (exemplifies_property(none_greater, X) | ((~exemplifies_property(conceivable, X)) | (object(tptp_fun_Y_0(X)) & exemplifies_relation(greater_than, tptp_fun_Y_0(X), X) & exemplifies_property(conceivable, tptp_fun_Y_0(X))))))) <=> ![X: $i] : ((~object(X)) | (((~exemplifies_property(none_greater, X)) | (exemplifies_property(conceivable, X) & ![Y: $i] : (~(object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y))))) & (exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (object(tptp_fun_Y_0(X)) & exemplifies_relation(greater_than, tptp_fun_Y_0(X), X) & exemplifies_property(conceivable, tptp_fun_Y_0(X))))))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[38])).
% 0.20/0.40 tff(40,plain,
% 0.20/0.40 (![X: $i] : ((~object(X)) | (exemplifies_property(none_greater, X) <=> (exemplifies_property(conceivable, X) & (~?[Y: $i] : (object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y)))))) <=> ![X: $i] : ((~object(X)) | (exemplifies_property(none_greater, X) <=> (exemplifies_property(conceivable, X) & (~?[Y: $i] : (object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y))))))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(41,plain,
% 0.20/0.40 (^[X: $i] : trans(monotonicity(rewrite((exemplifies_property(none_greater, X) <=> (exemplifies_property(conceivable, X) & (~?[Y: $i] : ((object(Y) & exemplifies_relation(greater_than, Y, X)) & exemplifies_property(conceivable, Y))))) <=> (exemplifies_property(none_greater, X) <=> (exemplifies_property(conceivable, X) & (~?[Y: $i] : (object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y)))))), ((object(X) => (exemplifies_property(none_greater, X) <=> (exemplifies_property(conceivable, X) & (~?[Y: $i] : ((object(Y) & exemplifies_relation(greater_than, Y, X)) & exemplifies_property(conceivable, Y)))))) <=> (object(X) => (exemplifies_property(none_greater, X) <=> (exemplifies_property(conceivable, X) & (~?[Y: $i] : (object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y)))))))), rewrite((object(X) => (exemplifies_property(none_greater, X) <=> (exemplifies_property(conceivable, X) & (~?[Y: $i] : (object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y)))))) <=> ((~object(X)) | (exemplifies_property(none_greater, X) <=> (exemplifies_property(conceivable, X) & (~?[Y: $i] : (object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y))))))), ((object(X) => (exemplifies_property(none_greater, X) <=> (exemplifies_property(conceivable, X) & (~?[Y: $i] : ((object(Y) & exemplifies_relation(greater_than, Y, X)) & exemplifies_property(conceivable, Y)))))) <=> ((~object(X)) | (exemplifies_property(none_greater, X) <=> (exemplifies_property(conceivable, X) & (~?[Y: $i] : (object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y))))))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(42,plain,
% 0.20/0.40 (![X: $i] : (object(X) => (exemplifies_property(none_greater, X) <=> (exemplifies_property(conceivable, X) & (~?[Y: $i] : ((object(Y) & exemplifies_relation(greater_than, Y, X)) & exemplifies_property(conceivable, Y)))))) <=> ![X: $i] : ((~object(X)) | (exemplifies_property(none_greater, X) <=> (exemplifies_property(conceivable, X) & (~?[Y: $i] : (object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y))))))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[41])).
% 0.20/0.40 tff(43,axiom,(![X: $i] : (object(X) => (exemplifies_property(none_greater, X) <=> (exemplifies_property(conceivable, X) & (~?[Y: $i] : ((object(Y) & exemplifies_relation(greater_than, Y, X)) & exemplifies_property(conceivable, Y))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','definition_none_greater')).
% 0.20/0.40 tff(44,plain,
% 0.20/0.40 (![X: $i] : ((~object(X)) | (exemplifies_property(none_greater, X) <=> (exemplifies_property(conceivable, X) & (~?[Y: $i] : (object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y))))))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[43, 42])).
% 0.20/0.40 tff(45,plain,
% 0.20/0.40 (![X: $i] : ((~object(X)) | (exemplifies_property(none_greater, X) <=> (exemplifies_property(conceivable, X) & (~?[Y: $i] : (object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y))))))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[44, 40])).
% 0.20/0.40 tff(46,plain,(
% 0.20/0.40 ![X: $i] : ((~object(X)) | (((~exemplifies_property(none_greater, X)) | (exemplifies_property(conceivable, X) & ![Y: $i] : (~(object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y))))) & (exemplifies_property(none_greater, X) | ((~exemplifies_property(conceivable, X)) | (object(tptp_fun_Y_0(X)) & exemplifies_relation(greater_than, tptp_fun_Y_0(X), X) & exemplifies_property(conceivable, tptp_fun_Y_0(X)))))))),
% 0.20/0.40 inference(skolemize,[status(sab)],[45])).
% 0.20/0.40 tff(47,plain,
% 0.20/0.40 (![X: $i] : ((~object(X)) | (((~exemplifies_property(none_greater, X)) | (exemplifies_property(conceivable, X) & ![Y: $i] : (~(object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y))))) & (exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (object(tptp_fun_Y_0(X)) & exemplifies_relation(greater_than, tptp_fun_Y_0(X), X) & exemplifies_property(conceivable, tptp_fun_Y_0(X))))))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[46, 39])).
% 0.20/0.40 tff(48,plain,
% 0.20/0.40 (![X: $i] : ((~object(X)) | (~((~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))) | (~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X))))))))))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[47, 37])).
% 0.20/0.41 tff(49,plain,
% 0.20/0.41 (![X: $i] : ((~object(X)) | (~((~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))) | (~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X))))))))))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[48, 35])).
% 0.20/0.41 tff(50,plain,
% 0.20/0.41 (![X: $i] : ((~object(X)) | (~((~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X))))))) | (~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))))))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[49, 30])).
% 0.20/0.41 tff(51,plain,
% 0.20/0.41 (((~![X: $i] : ((~object(X)) | (~((~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X))))))) | (~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))))))) | ((~object(tptp_fun_Y_2(X!1))) | (~((~(exemplifies_property(none_greater, tptp_fun_Y_2(X!1)) | (~exemplifies_property(conceivable, tptp_fun_Y_2(X!1))) | (~((~object(tptp_fun_Y_0(tptp_fun_Y_2(X!1)))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(tptp_fun_Y_2(X!1)), tptp_fun_Y_2(X!1))) | (~exemplifies_property(conceivable, tptp_fun_Y_0(tptp_fun_Y_2(X!1)))))))) | (~((~exemplifies_property(none_greater, tptp_fun_Y_2(X!1))) | (~((~exemplifies_property(conceivable, tptp_fun_Y_2(X!1))) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, tptp_fun_Y_2(X!1))))))))))))) <=> ((~![X: $i] : ((~object(X)) | (~((~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X))))))) | (~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))))))) | (~object(tptp_fun_Y_2(X!1))) | (~((~(exemplifies_property(none_greater, tptp_fun_Y_2(X!1)) | (~exemplifies_property(conceivable, tptp_fun_Y_2(X!1))) | (~((~object(tptp_fun_Y_0(tptp_fun_Y_2(X!1)))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(tptp_fun_Y_2(X!1)), tptp_fun_Y_2(X!1))) | (~exemplifies_property(conceivable, tptp_fun_Y_0(tptp_fun_Y_2(X!1)))))))) | (~((~exemplifies_property(none_greater, tptp_fun_Y_2(X!1))) | (~((~exemplifies_property(conceivable, tptp_fun_Y_2(X!1))) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, tptp_fun_Y_2(X!1))))))))))))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(52,plain,
% 0.20/0.41 ((~![X: $i] : ((~object(X)) | (~((~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X))))))) | (~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))))))) | ((~object(tptp_fun_Y_2(X!1))) | (~((~(exemplifies_property(none_greater, tptp_fun_Y_2(X!1)) | (~exemplifies_property(conceivable, tptp_fun_Y_2(X!1))) | (~((~object(tptp_fun_Y_0(tptp_fun_Y_2(X!1)))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(tptp_fun_Y_2(X!1)), tptp_fun_Y_2(X!1))) | (~exemplifies_property(conceivable, tptp_fun_Y_0(tptp_fun_Y_2(X!1)))))))) | (~((~exemplifies_property(none_greater, tptp_fun_Y_2(X!1))) | (~((~exemplifies_property(conceivable, tptp_fun_Y_2(X!1))) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, tptp_fun_Y_2(X!1))))))))))))),
% 0.20/0.41 inference(quant_inst,[status(thm)],[])).
% 0.20/0.41 tff(53,plain,
% 0.20/0.41 ((~![X: $i] : ((~object(X)) | (~((~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X))))))) | (~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))))))) | (~object(tptp_fun_Y_2(X!1))) | (~((~(exemplifies_property(none_greater, tptp_fun_Y_2(X!1)) | (~exemplifies_property(conceivable, tptp_fun_Y_2(X!1))) | (~((~object(tptp_fun_Y_0(tptp_fun_Y_2(X!1)))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(tptp_fun_Y_2(X!1)), tptp_fun_Y_2(X!1))) | (~exemplifies_property(conceivable, tptp_fun_Y_0(tptp_fun_Y_2(X!1)))))))) | (~((~exemplifies_property(none_greater, tptp_fun_Y_2(X!1))) | (~((~exemplifies_property(conceivable, tptp_fun_Y_2(X!1))) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, tptp_fun_Y_2(X!1)))))))))))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[52, 51])).
% 0.20/0.41 tff(54,plain,
% 0.20/0.41 (~((~(exemplifies_property(none_greater, tptp_fun_Y_2(X!1)) | (~exemplifies_property(conceivable, tptp_fun_Y_2(X!1))) | (~((~object(tptp_fun_Y_0(tptp_fun_Y_2(X!1)))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(tptp_fun_Y_2(X!1)), tptp_fun_Y_2(X!1))) | (~exemplifies_property(conceivable, tptp_fun_Y_0(tptp_fun_Y_2(X!1)))))))) | (~((~exemplifies_property(none_greater, tptp_fun_Y_2(X!1))) | (~((~exemplifies_property(conceivable, tptp_fun_Y_2(X!1))) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, tptp_fun_Y_2(X!1))))))))))),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[53, 50, 28])).
% 0.20/0.41 tff(55,plain,
% 0.20/0.41 (((~(exemplifies_property(none_greater, tptp_fun_Y_2(X!1)) | (~exemplifies_property(conceivable, tptp_fun_Y_2(X!1))) | (~((~object(tptp_fun_Y_0(tptp_fun_Y_2(X!1)))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(tptp_fun_Y_2(X!1)), tptp_fun_Y_2(X!1))) | (~exemplifies_property(conceivable, tptp_fun_Y_0(tptp_fun_Y_2(X!1)))))))) | (~((~exemplifies_property(none_greater, tptp_fun_Y_2(X!1))) | (~((~exemplifies_property(conceivable, tptp_fun_Y_2(X!1))) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, tptp_fun_Y_2(X!1)))))))))) | ((~exemplifies_property(none_greater, tptp_fun_Y_2(X!1))) | (~((~exemplifies_property(conceivable, tptp_fun_Y_2(X!1))) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, tptp_fun_Y_2(X!1))))))))),
% 0.20/0.41 inference(tautology,[status(thm)],[])).
% 0.20/0.41 tff(56,plain,
% 0.20/0.41 ((~exemplifies_property(none_greater, tptp_fun_Y_2(X!1))) | (~((~exemplifies_property(conceivable, tptp_fun_Y_2(X!1))) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, tptp_fun_Y_2(X!1)))))))),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[55, 54])).
% 0.20/0.41 tff(57,plain,
% 0.20/0.41 (((tptp_fun_Y_2(X!1) = X!1) | (~object(tptp_fun_Y_2(X!1))) | (~exemplifies_property(none_greater, tptp_fun_Y_2(X!1)))) | exemplifies_property(none_greater, tptp_fun_Y_2(X!1))),
% 0.20/0.41 inference(tautology,[status(thm)],[])).
% 0.20/0.41 tff(58,plain,
% 0.20/0.41 (exemplifies_property(none_greater, tptp_fun_Y_2(X!1))),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[57, 26])).
% 0.20/0.41 tff(59,plain,
% 0.20/0.41 ((~((~exemplifies_property(none_greater, tptp_fun_Y_2(X!1))) | (~((~exemplifies_property(conceivable, tptp_fun_Y_2(X!1))) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, tptp_fun_Y_2(X!1))))))))) | (~exemplifies_property(none_greater, tptp_fun_Y_2(X!1))) | (~((~exemplifies_property(conceivable, tptp_fun_Y_2(X!1))) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, tptp_fun_Y_2(X!1)))))))),
% 0.20/0.41 inference(tautology,[status(thm)],[])).
% 0.20/0.41 tff(60,plain,
% 0.20/0.41 ((~((~exemplifies_property(none_greater, tptp_fun_Y_2(X!1))) | (~((~exemplifies_property(conceivable, tptp_fun_Y_2(X!1))) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, tptp_fun_Y_2(X!1))))))))) | (~((~exemplifies_property(conceivable, tptp_fun_Y_2(X!1))) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, tptp_fun_Y_2(X!1)))))))),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[59, 58])).
% 0.20/0.41 tff(61,plain,
% 0.20/0.41 (~((~exemplifies_property(conceivable, tptp_fun_Y_2(X!1))) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, tptp_fun_Y_2(X!1))))))),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[60, 56])).
% 0.20/0.41 tff(62,plain,
% 0.20/0.41 (((~exemplifies_property(conceivable, tptp_fun_Y_2(X!1))) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, tptp_fun_Y_2(X!1)))))) | exemplifies_property(conceivable, tptp_fun_Y_2(X!1))),
% 0.20/0.41 inference(tautology,[status(thm)],[])).
% 0.20/0.41 tff(63,plain,
% 0.20/0.41 (exemplifies_property(conceivable, tptp_fun_Y_2(X!1))),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[62, 61])).
% 0.20/0.41 tff(64,plain,
% 0.20/0.41 (((~![X: $i] : ((~object(X)) | (~((~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X))))))) | (~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))))))) | ((~object(X!1)) | (~((~(exemplifies_property(none_greater, X!1) | (~exemplifies_property(conceivable, X!1)) | (~((~object(tptp_fun_Y_0(X!1))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X!1), X!1)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X!1))))))) | (~((~exemplifies_property(none_greater, X!1)) | (~((~exemplifies_property(conceivable, X!1)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X!1)))))))))))) <=> ((~![X: $i] : ((~object(X)) | (~((~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X))))))) | (~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))))))) | (~object(X!1)) | (~((~(exemplifies_property(none_greater, X!1) | (~exemplifies_property(conceivable, X!1)) | (~((~object(tptp_fun_Y_0(X!1))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X!1), X!1)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X!1))))))) | (~((~exemplifies_property(none_greater, X!1)) | (~((~exemplifies_property(conceivable, X!1)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X!1)))))))))))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(65,plain,
% 0.20/0.41 ((~![X: $i] : ((~object(X)) | (~((~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X))))))) | (~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))))))) | ((~object(X!1)) | (~((~(exemplifies_property(none_greater, X!1) | (~exemplifies_property(conceivable, X!1)) | (~((~object(tptp_fun_Y_0(X!1))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X!1), X!1)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X!1))))))) | (~((~exemplifies_property(none_greater, X!1)) | (~((~exemplifies_property(conceivable, X!1)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X!1)))))))))))),
% 0.20/0.41 inference(quant_inst,[status(thm)],[])).
% 0.20/0.41 tff(66,plain,
% 0.20/0.41 ((~![X: $i] : ((~object(X)) | (~((~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X))))))) | (~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))))))) | (~object(X!1)) | (~((~(exemplifies_property(none_greater, X!1) | (~exemplifies_property(conceivable, X!1)) | (~((~object(tptp_fun_Y_0(X!1))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X!1), X!1)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X!1))))))) | (~((~exemplifies_property(none_greater, X!1)) | (~((~exemplifies_property(conceivable, X!1)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X!1))))))))))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[65, 64])).
% 0.20/0.41 tff(67,plain,
% 0.20/0.41 (~((~(exemplifies_property(none_greater, X!1) | (~exemplifies_property(conceivable, X!1)) | (~((~object(tptp_fun_Y_0(X!1))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X!1), X!1)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X!1))))))) | (~((~exemplifies_property(none_greater, X!1)) | (~((~exemplifies_property(conceivable, X!1)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X!1)))))))))),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[66, 50, 22])).
% 0.20/0.41 tff(68,plain,
% 0.20/0.41 (((~(exemplifies_property(none_greater, X!1) | (~exemplifies_property(conceivable, X!1)) | (~((~object(tptp_fun_Y_0(X!1))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X!1), X!1)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X!1))))))) | (~((~exemplifies_property(none_greater, X!1)) | (~((~exemplifies_property(conceivable, X!1)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X!1))))))))) | ((~exemplifies_property(none_greater, X!1)) | (~((~exemplifies_property(conceivable, X!1)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X!1)))))))),
% 0.20/0.41 inference(tautology,[status(thm)],[])).
% 0.20/0.41 tff(69,plain,
% 0.20/0.41 ((~exemplifies_property(none_greater, X!1)) | (~((~exemplifies_property(conceivable, X!1)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X!1))))))),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[68, 67])).
% 0.20/0.41 tff(70,plain,
% 0.20/0.41 ((~((~exemplifies_property(none_greater, X!1)) | (~((~exemplifies_property(conceivable, X!1)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X!1)))))))) | (~exemplifies_property(none_greater, X!1)) | (~((~exemplifies_property(conceivable, X!1)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X!1))))))),
% 0.20/0.42 inference(tautology,[status(thm)],[])).
% 0.20/0.42 tff(71,plain,
% 0.20/0.42 ((~((~exemplifies_property(none_greater, X!1)) | (~((~exemplifies_property(conceivable, X!1)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X!1)))))))) | (~((~exemplifies_property(conceivable, X!1)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X!1))))))),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[70, 21])).
% 0.20/0.42 tff(72,plain,
% 0.20/0.42 (~((~exemplifies_property(conceivable, X!1)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X!1)))))),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[71, 69])).
% 0.20/0.42 tff(73,plain,
% 0.20/0.42 (((~exemplifies_property(conceivable, X!1)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X!1))))) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X!1)))),
% 0.20/0.42 inference(tautology,[status(thm)],[])).
% 0.20/0.42 tff(74,plain,
% 0.20/0.42 (![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X!1)))),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[73, 72])).
% 0.20/0.42 tff(75,plain,
% 0.20/0.42 (((~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X!1)))) | ((~object(tptp_fun_Y_2(X!1))) | (~exemplifies_property(conceivable, tptp_fun_Y_2(X!1))) | (~exemplifies_relation(greater_than, tptp_fun_Y_2(X!1), X!1)))) <=> ((~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X!1)))) | (~object(tptp_fun_Y_2(X!1))) | (~exemplifies_property(conceivable, tptp_fun_Y_2(X!1))) | (~exemplifies_relation(greater_than, tptp_fun_Y_2(X!1), X!1)))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(76,plain,
% 0.20/0.42 ((~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X!1)))) | ((~object(tptp_fun_Y_2(X!1))) | (~exemplifies_property(conceivable, tptp_fun_Y_2(X!1))) | (~exemplifies_relation(greater_than, tptp_fun_Y_2(X!1), X!1)))),
% 0.20/0.42 inference(quant_inst,[status(thm)],[])).
% 0.20/0.42 tff(77,plain,
% 0.20/0.42 ((~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X!1)))) | (~object(tptp_fun_Y_2(X!1))) | (~exemplifies_property(conceivable, tptp_fun_Y_2(X!1))) | (~exemplifies_relation(greater_than, tptp_fun_Y_2(X!1), X!1))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[76, 75])).
% 0.20/0.42 tff(78,plain,
% 0.20/0.42 ((~exemplifies_property(conceivable, tptp_fun_Y_2(X!1))) | (~exemplifies_relation(greater_than, tptp_fun_Y_2(X!1), X!1))),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[77, 74, 28])).
% 0.20/0.42 tff(79,plain,
% 0.20/0.42 (~exemplifies_relation(greater_than, tptp_fun_Y_2(X!1), X!1)),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[78, 63])).
% 0.20/0.42 tff(80,plain,
% 0.20/0.42 (((tptp_fun_Y_2(X!1) = X!1) | (~object(tptp_fun_Y_2(X!1))) | (~exemplifies_property(none_greater, tptp_fun_Y_2(X!1)))) | (~(tptp_fun_Y_2(X!1) = X!1))),
% 0.20/0.42 inference(tautology,[status(thm)],[])).
% 0.20/0.42 tff(81,plain,
% 0.20/0.42 (~(tptp_fun_Y_2(X!1) = X!1)),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[80, 26])).
% 0.20/0.42 tff(82,plain,
% 0.20/0.42 (^[X: $i, Y: $i] : refl(((X = Y) | exemplifies_relation(greater_than, Y, X) | exemplifies_relation(greater_than, X, Y) | (~object(Y)) | (~object(X))) <=> ((X = Y) | exemplifies_relation(greater_than, Y, X) | exemplifies_relation(greater_than, X, Y) | (~object(Y)) | (~object(X))))),
% 0.20/0.42 inference(bind,[status(th)],[])).
% 0.20/0.42 tff(83,plain,
% 0.20/0.42 (![X: $i, Y: $i] : ((X = Y) | exemplifies_relation(greater_than, Y, X) | exemplifies_relation(greater_than, X, Y) | (~object(Y)) | (~object(X))) <=> ![X: $i, Y: $i] : ((X = Y) | exemplifies_relation(greater_than, Y, X) | exemplifies_relation(greater_than, X, Y) | (~object(Y)) | (~object(X)))),
% 0.20/0.42 inference(quant_intro,[status(thm)],[82])).
% 0.20/0.42 tff(84,plain,
% 0.20/0.42 (^[X: $i, Y: $i] : trans(monotonicity(trans(monotonicity(rewrite((object(X) & object(Y)) <=> (~((~object(Y)) | (~object(X))))), ((~(object(X) & object(Y))) <=> (~(~((~object(Y)) | (~object(X))))))), rewrite((~(~((~object(Y)) | (~object(X))))) <=> ((~object(Y)) | (~object(X)))), ((~(object(X) & object(Y))) <=> ((~object(Y)) | (~object(X))))), (((X = Y) | exemplifies_relation(greater_than, Y, X) | exemplifies_relation(greater_than, X, Y) | (~(object(X) & object(Y)))) <=> ((X = Y) | exemplifies_relation(greater_than, Y, X) | exemplifies_relation(greater_than, X, Y) | ((~object(Y)) | (~object(X)))))), rewrite(((X = Y) | exemplifies_relation(greater_than, Y, X) | exemplifies_relation(greater_than, X, Y) | ((~object(Y)) | (~object(X)))) <=> ((X = Y) | exemplifies_relation(greater_than, Y, X) | exemplifies_relation(greater_than, X, Y) | (~object(Y)) | (~object(X)))), (((X = Y) | exemplifies_relation(greater_than, Y, X) | exemplifies_relation(greater_than, X, Y) | (~(object(X) & object(Y)))) <=> ((X = Y) | exemplifies_relation(greater_than, Y, X) | exemplifies_relation(greater_than, X, Y) | (~object(Y)) | (~object(X)))))),
% 0.20/0.42 inference(bind,[status(th)],[])).
% 0.20/0.42 tff(85,plain,
% 0.20/0.42 (![X: $i, Y: $i] : ((X = Y) | exemplifies_relation(greater_than, Y, X) | exemplifies_relation(greater_than, X, Y) | (~(object(X) & object(Y)))) <=> ![X: $i, Y: $i] : ((X = Y) | exemplifies_relation(greater_than, Y, X) | exemplifies_relation(greater_than, X, Y) | (~object(Y)) | (~object(X)))),
% 0.20/0.42 inference(quant_intro,[status(thm)],[84])).
% 0.20/0.42 tff(86,plain,
% 0.20/0.42 (![X: $i, Y: $i] : ((X = Y) | exemplifies_relation(greater_than, Y, X) | exemplifies_relation(greater_than, X, Y) | (~(object(X) & object(Y)))) <=> ![X: $i, Y: $i] : ((X = Y) | exemplifies_relation(greater_than, Y, X) | exemplifies_relation(greater_than, X, Y) | (~(object(X) & object(Y))))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(87,plain,
% 0.20/0.42 (^[X: $i, Y: $i] : trans(monotonicity(trans(monotonicity(rewrite((exemplifies_relation(greater_than, X, Y) | exemplifies_relation(greater_than, Y, X)) <=> (exemplifies_relation(greater_than, Y, X) | exemplifies_relation(greater_than, X, Y))), (((exemplifies_relation(greater_than, X, Y) | exemplifies_relation(greater_than, Y, X)) | (X = Y)) <=> ((exemplifies_relation(greater_than, Y, X) | exemplifies_relation(greater_than, X, Y)) | (X = Y)))), rewrite(((exemplifies_relation(greater_than, Y, X) | exemplifies_relation(greater_than, X, Y)) | (X = Y)) <=> ((X = Y) | exemplifies_relation(greater_than, Y, X) | exemplifies_relation(greater_than, X, Y))), (((exemplifies_relation(greater_than, X, Y) | exemplifies_relation(greater_than, Y, X)) | (X = Y)) <=> ((X = Y) | exemplifies_relation(greater_than, Y, X) | exemplifies_relation(greater_than, X, Y)))), (((object(X) & object(Y)) => ((exemplifies_relation(greater_than, X, Y) | exemplifies_relation(greater_than, Y, X)) | (X = Y))) <=> ((object(X) & object(Y)) => ((X = Y) | exemplifies_relation(greater_than, Y, X) | exemplifies_relation(greater_than, X, Y))))), rewrite(((object(X) & object(Y)) => ((X = Y) | exemplifies_relation(greater_than, Y, X) | exemplifies_relation(greater_than, X, Y))) <=> ((X = Y) | exemplifies_relation(greater_than, Y, X) | exemplifies_relation(greater_than, X, Y) | (~(object(X) & object(Y))))), (((object(X) & object(Y)) => ((exemplifies_relation(greater_than, X, Y) | exemplifies_relation(greater_than, Y, X)) | (X = Y))) <=> ((X = Y) | exemplifies_relation(greater_than, Y, X) | exemplifies_relation(greater_than, X, Y) | (~(object(X) & object(Y))))))),
% 0.20/0.42 inference(bind,[status(th)],[])).
% 0.20/0.42 tff(88,plain,
% 0.20/0.42 (![X: $i, Y: $i] : ((object(X) & object(Y)) => ((exemplifies_relation(greater_than, X, Y) | exemplifies_relation(greater_than, Y, X)) | (X = Y))) <=> ![X: $i, Y: $i] : ((X = Y) | exemplifies_relation(greater_than, Y, X) | exemplifies_relation(greater_than, X, Y) | (~(object(X) & object(Y))))),
% 0.20/0.42 inference(quant_intro,[status(thm)],[87])).
% 0.20/0.42 tff(89,axiom,(![X: $i, Y: $i] : ((object(X) & object(Y)) => ((exemplifies_relation(greater_than, X, Y) | exemplifies_relation(greater_than, Y, X)) | (X = Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','connectedness_of_greater_than')).
% 0.20/0.42 tff(90,plain,
% 0.20/0.42 (![X: $i, Y: $i] : ((X = Y) | exemplifies_relation(greater_than, Y, X) | exemplifies_relation(greater_than, X, Y) | (~(object(X) & object(Y))))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[89, 88])).
% 0.20/0.42 tff(91,plain,
% 0.20/0.42 (![X: $i, Y: $i] : ((X = Y) | exemplifies_relation(greater_than, Y, X) | exemplifies_relation(greater_than, X, Y) | (~(object(X) & object(Y))))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[90, 86])).
% 0.20/0.42 tff(92,plain,(
% 0.20/0.42 ![X: $i, Y: $i] : ((X = Y) | exemplifies_relation(greater_than, Y, X) | exemplifies_relation(greater_than, X, Y) | (~(object(X) & object(Y))))),
% 0.20/0.42 inference(skolemize,[status(sab)],[91])).
% 0.20/0.42 tff(93,plain,
% 0.20/0.42 (![X: $i, Y: $i] : ((X = Y) | exemplifies_relation(greater_than, Y, X) | exemplifies_relation(greater_than, X, Y) | (~object(Y)) | (~object(X)))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[92, 85])).
% 0.20/0.42 tff(94,plain,
% 0.20/0.42 (![X: $i, Y: $i] : ((X = Y) | exemplifies_relation(greater_than, Y, X) | exemplifies_relation(greater_than, X, Y) | (~object(Y)) | (~object(X)))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[93, 83])).
% 0.20/0.42 tff(95,plain,
% 0.20/0.42 (((~![X: $i, Y: $i] : ((X = Y) | exemplifies_relation(greater_than, Y, X) | exemplifies_relation(greater_than, X, Y) | (~object(Y)) | (~object(X)))) | ((~object(X!1)) | (tptp_fun_Y_2(X!1) = X!1) | (~object(tptp_fun_Y_2(X!1))) | exemplifies_relation(greater_than, tptp_fun_Y_2(X!1), X!1) | exemplifies_relation(greater_than, X!1, tptp_fun_Y_2(X!1)))) <=> ((~![X: $i, Y: $i] : ((X = Y) | exemplifies_relation(greater_than, Y, X) | exemplifies_relation(greater_than, X, Y) | (~object(Y)) | (~object(X)))) | (~object(X!1)) | (tptp_fun_Y_2(X!1) = X!1) | (~object(tptp_fun_Y_2(X!1))) | exemplifies_relation(greater_than, tptp_fun_Y_2(X!1), X!1) | exemplifies_relation(greater_than, X!1, tptp_fun_Y_2(X!1)))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(96,plain,
% 0.20/0.42 (((tptp_fun_Y_2(X!1) = X!1) | exemplifies_relation(greater_than, X!1, tptp_fun_Y_2(X!1)) | exemplifies_relation(greater_than, tptp_fun_Y_2(X!1), X!1) | (~object(X!1)) | (~object(tptp_fun_Y_2(X!1)))) <=> ((~object(X!1)) | (tptp_fun_Y_2(X!1) = X!1) | (~object(tptp_fun_Y_2(X!1))) | exemplifies_relation(greater_than, tptp_fun_Y_2(X!1), X!1) | exemplifies_relation(greater_than, X!1, tptp_fun_Y_2(X!1)))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(97,plain,
% 0.20/0.42 (((~![X: $i, Y: $i] : ((X = Y) | exemplifies_relation(greater_than, Y, X) | exemplifies_relation(greater_than, X, Y) | (~object(Y)) | (~object(X)))) | ((tptp_fun_Y_2(X!1) = X!1) | exemplifies_relation(greater_than, X!1, tptp_fun_Y_2(X!1)) | exemplifies_relation(greater_than, tptp_fun_Y_2(X!1), X!1) | (~object(X!1)) | (~object(tptp_fun_Y_2(X!1))))) <=> ((~![X: $i, Y: $i] : ((X = Y) | exemplifies_relation(greater_than, Y, X) | exemplifies_relation(greater_than, X, Y) | (~object(Y)) | (~object(X)))) | ((~object(X!1)) | (tptp_fun_Y_2(X!1) = X!1) | (~object(tptp_fun_Y_2(X!1))) | exemplifies_relation(greater_than, tptp_fun_Y_2(X!1), X!1) | exemplifies_relation(greater_than, X!1, tptp_fun_Y_2(X!1))))),
% 0.20/0.42 inference(monotonicity,[status(thm)],[96])).
% 0.20/0.42 tff(98,plain,
% 0.20/0.42 (((~![X: $i, Y: $i] : ((X = Y) | exemplifies_relation(greater_than, Y, X) | exemplifies_relation(greater_than, X, Y) | (~object(Y)) | (~object(X)))) | ((tptp_fun_Y_2(X!1) = X!1) | exemplifies_relation(greater_than, X!1, tptp_fun_Y_2(X!1)) | exemplifies_relation(greater_than, tptp_fun_Y_2(X!1), X!1) | (~object(X!1)) | (~object(tptp_fun_Y_2(X!1))))) <=> ((~![X: $i, Y: $i] : ((X = Y) | exemplifies_relation(greater_than, Y, X) | exemplifies_relation(greater_than, X, Y) | (~object(Y)) | (~object(X)))) | (~object(X!1)) | (tptp_fun_Y_2(X!1) = X!1) | (~object(tptp_fun_Y_2(X!1))) | exemplifies_relation(greater_than, tptp_fun_Y_2(X!1), X!1) | exemplifies_relation(greater_than, X!1, tptp_fun_Y_2(X!1)))),
% 0.20/0.42 inference(transitivity,[status(thm)],[97, 95])).
% 0.20/0.42 tff(99,plain,
% 0.20/0.42 ((~![X: $i, Y: $i] : ((X = Y) | exemplifies_relation(greater_than, Y, X) | exemplifies_relation(greater_than, X, Y) | (~object(Y)) | (~object(X)))) | ((tptp_fun_Y_2(X!1) = X!1) | exemplifies_relation(greater_than, X!1, tptp_fun_Y_2(X!1)) | exemplifies_relation(greater_than, tptp_fun_Y_2(X!1), X!1) | (~object(X!1)) | (~object(tptp_fun_Y_2(X!1))))),
% 0.20/0.43 inference(quant_inst,[status(thm)],[])).
% 0.20/0.43 tff(100,plain,
% 0.20/0.43 ((~![X: $i, Y: $i] : ((X = Y) | exemplifies_relation(greater_than, Y, X) | exemplifies_relation(greater_than, X, Y) | (~object(Y)) | (~object(X)))) | (~object(X!1)) | (tptp_fun_Y_2(X!1) = X!1) | (~object(tptp_fun_Y_2(X!1))) | exemplifies_relation(greater_than, tptp_fun_Y_2(X!1), X!1) | exemplifies_relation(greater_than, X!1, tptp_fun_Y_2(X!1))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[99, 98])).
% 0.20/0.43 tff(101,plain,
% 0.20/0.43 (exemplifies_relation(greater_than, X!1, tptp_fun_Y_2(X!1))),
% 0.20/0.43 inference(unit_resolution,[status(thm)],[100, 94, 22, 81, 28, 79])).
% 0.20/0.43 tff(102,plain,
% 0.20/0.43 (((~exemplifies_property(conceivable, tptp_fun_Y_2(X!1))) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, tptp_fun_Y_2(X!1)))))) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, tptp_fun_Y_2(X!1))))),
% 0.20/0.43 inference(tautology,[status(thm)],[])).
% 0.20/0.43 tff(103,plain,
% 0.20/0.43 (![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, tptp_fun_Y_2(X!1))))),
% 0.20/0.43 inference(unit_resolution,[status(thm)],[102, 61])).
% 0.20/0.43 tff(104,plain,
% 0.20/0.43 (((~exemplifies_property(conceivable, X!1)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X!1))))) | exemplifies_property(conceivable, X!1)),
% 0.20/0.43 inference(tautology,[status(thm)],[])).
% 0.20/0.43 tff(105,plain,
% 0.20/0.43 (exemplifies_property(conceivable, X!1)),
% 0.20/0.43 inference(unit_resolution,[status(thm)],[104, 72])).
% 0.20/0.43 tff(106,plain,
% 0.20/0.43 (((~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, tptp_fun_Y_2(X!1))))) | ((~object(X!1)) | (~exemplifies_property(conceivable, X!1)) | (~exemplifies_relation(greater_than, X!1, tptp_fun_Y_2(X!1))))) <=> ((~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, tptp_fun_Y_2(X!1))))) | (~object(X!1)) | (~exemplifies_property(conceivable, X!1)) | (~exemplifies_relation(greater_than, X!1, tptp_fun_Y_2(X!1))))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(107,plain,
% 0.20/0.43 ((~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, tptp_fun_Y_2(X!1))))) | ((~object(X!1)) | (~exemplifies_property(conceivable, X!1)) | (~exemplifies_relation(greater_than, X!1, tptp_fun_Y_2(X!1))))),
% 0.20/0.43 inference(quant_inst,[status(thm)],[])).
% 0.20/0.43 tff(108,plain,
% 0.20/0.43 ((~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, tptp_fun_Y_2(X!1))))) | (~object(X!1)) | (~exemplifies_property(conceivable, X!1)) | (~exemplifies_relation(greater_than, X!1, tptp_fun_Y_2(X!1)))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[107, 106])).
% 0.20/0.43 tff(109,plain,
% 0.20/0.43 ($false),
% 0.20/0.43 inference(unit_resolution,[status(thm)],[108, 22, 105, 103, 101])).
% 0.20/0.43 % SZS output end Proof
%------------------------------------------------------------------------------