TSTP Solution File: PHI015+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : PHI015+1 : TPTP v8.1.0. Released v7.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n004.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 13:31:46 EDT 2022
% Result : Theorem 0.22s 0.41s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PHI015+1 : TPTP v8.1.0. Released v7.2.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Sep 2 16:55:19 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 0.22/0.41 % SZS status Theorem
% 0.22/0.41 % SZS output start Proof
% 0.22/0.41 tff(exemplifies_relation_type, type, (
% 0.22/0.41 exemplifies_relation: ( $i * $i * $i ) > $o)).
% 0.22/0.41 tff(tptp_fun_X_4_type, type, (
% 0.22/0.41 tptp_fun_X_4: $i)).
% 0.22/0.41 tff(tptp_fun_Y_3_type, type, (
% 0.22/0.41 tptp_fun_Y_3: $i > $i)).
% 0.22/0.41 tff(god_type, type, (
% 0.22/0.41 god: $i)).
% 0.22/0.41 tff(greater_than_type, type, (
% 0.22/0.41 greater_than: $i)).
% 0.22/0.41 tff(tptp_fun_Y_2_type, type, (
% 0.22/0.41 tptp_fun_Y_2: ( $i * $i ) > $i)).
% 0.22/0.41 tff(none_greater_type, type, (
% 0.22/0.41 none_greater: $i)).
% 0.22/0.41 tff(exemplifies_property_type, type, (
% 0.22/0.41 exemplifies_property: ( $i * $i ) > $o)).
% 0.22/0.41 tff(object_type, type, (
% 0.22/0.41 object: $i > $o)).
% 0.22/0.41 tff(is_the_type, type, (
% 0.22/0.41 is_the: ( $i * $i ) > $o)).
% 0.22/0.41 tff(tptp_fun_Z_1_type, type, (
% 0.22/0.41 tptp_fun_Z_1: ( $i * $i ) > $i)).
% 0.22/0.41 tff(property_type, type, (
% 0.22/0.41 property: $i > $o)).
% 0.22/0.41 tff(conceivable_type, type, (
% 0.22/0.41 conceivable: $i)).
% 0.22/0.41 tff(existence_type, type, (
% 0.22/0.41 existence: $i)).
% 0.22/0.41 tff(1,plain,
% 0.22/0.41 (is_the(god, none_greater) <=> is_the(god, none_greater)),
% 0.22/0.41 inference(rewrite,[status(thm)],[])).
% 0.22/0.41 tff(2,axiom,(is_the(god, none_greater)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','definition_god')).
% 0.22/0.41 tff(3,plain,
% 0.22/0.41 (is_the(god, none_greater)),
% 0.22/0.41 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.22/0.41 tff(4,plain,
% 0.22/0.41 (^[X: $i, F: $i] : refl(((~is_the(X, F)) | (~((~property(F)) | (~object(X))))) <=> ((~is_the(X, F)) | (~((~property(F)) | (~object(X))))))),
% 0.22/0.41 inference(bind,[status(th)],[])).
% 0.22/0.41 tff(5,plain,
% 0.22/0.41 (![X: $i, F: $i] : ((~is_the(X, F)) | (~((~property(F)) | (~object(X))))) <=> ![X: $i, F: $i] : ((~is_the(X, F)) | (~((~property(F)) | (~object(X)))))),
% 0.22/0.41 inference(quant_intro,[status(thm)],[4])).
% 0.22/0.41 tff(6,plain,
% 0.22/0.41 (^[X: $i, F: $i] : rewrite(((~is_the(X, F)) | (property(F) & object(X))) <=> ((~is_the(X, F)) | (~((~property(F)) | (~object(X))))))),
% 0.22/0.41 inference(bind,[status(th)],[])).
% 0.22/0.41 tff(7,plain,
% 0.22/0.41 (![X: $i, F: $i] : ((~is_the(X, F)) | (property(F) & object(X))) <=> ![X: $i, F: $i] : ((~is_the(X, F)) | (~((~property(F)) | (~object(X)))))),
% 0.22/0.41 inference(quant_intro,[status(thm)],[6])).
% 0.22/0.41 tff(8,plain,
% 0.22/0.41 (![X: $i, F: $i] : ((~is_the(X, F)) | (property(F) & object(X))) <=> ![X: $i, F: $i] : ((~is_the(X, F)) | (property(F) & object(X)))),
% 0.22/0.41 inference(rewrite,[status(thm)],[])).
% 0.22/0.41 tff(9,plain,
% 0.22/0.41 (^[X: $i, F: $i] : rewrite((is_the(X, F) => (property(F) & object(X))) <=> ((~is_the(X, F)) | (property(F) & object(X))))),
% 0.22/0.41 inference(bind,[status(th)],[])).
% 0.22/0.41 tff(10,plain,
% 0.22/0.41 (![X: $i, F: $i] : (is_the(X, F) => (property(F) & object(X))) <=> ![X: $i, F: $i] : ((~is_the(X, F)) | (property(F) & object(X)))),
% 0.22/0.41 inference(quant_intro,[status(thm)],[9])).
% 0.22/0.41 tff(11,axiom,(![X: $i, F: $i] : (is_the(X, F) => (property(F) & object(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','description_is_property_and_described_is_object')).
% 0.22/0.41 tff(12,plain,
% 0.22/0.41 (![X: $i, F: $i] : ((~is_the(X, F)) | (property(F) & object(X)))),
% 0.22/0.41 inference(modus_ponens,[status(thm)],[11, 10])).
% 0.22/0.41 tff(13,plain,
% 0.22/0.41 (![X: $i, F: $i] : ((~is_the(X, F)) | (property(F) & object(X)))),
% 0.22/0.41 inference(modus_ponens,[status(thm)],[12, 8])).
% 0.22/0.41 tff(14,plain,(
% 0.22/0.41 ![X: $i, F: $i] : ((~is_the(X, F)) | (property(F) & object(X)))),
% 0.22/0.41 inference(skolemize,[status(sab)],[13])).
% 0.22/0.41 tff(15,plain,
% 0.22/0.41 (![X: $i, F: $i] : ((~is_the(X, F)) | (~((~property(F)) | (~object(X)))))),
% 0.22/0.41 inference(modus_ponens,[status(thm)],[14, 7])).
% 0.22/0.41 tff(16,plain,
% 0.22/0.41 (![X: $i, F: $i] : ((~is_the(X, F)) | (~((~property(F)) | (~object(X)))))),
% 0.22/0.41 inference(modus_ponens,[status(thm)],[15, 5])).
% 0.22/0.41 tff(17,plain,
% 0.22/0.41 (((~![X: $i, F: $i] : ((~is_the(X, F)) | (~((~property(F)) | (~object(X)))))) | ((~is_the(god, none_greater)) | (~((~property(none_greater)) | (~object(god)))))) <=> ((~![X: $i, F: $i] : ((~is_the(X, F)) | (~((~property(F)) | (~object(X)))))) | (~is_the(god, none_greater)) | (~((~property(none_greater)) | (~object(god)))))),
% 0.22/0.41 inference(rewrite,[status(thm)],[])).
% 0.22/0.41 tff(18,plain,
% 0.22/0.41 ((~![X: $i, F: $i] : ((~is_the(X, F)) | (~((~property(F)) | (~object(X)))))) | ((~is_the(god, none_greater)) | (~((~property(none_greater)) | (~object(god)))))),
% 0.22/0.41 inference(quant_inst,[status(thm)],[])).
% 0.22/0.41 tff(19,plain,
% 0.22/0.41 ((~![X: $i, F: $i] : ((~is_the(X, F)) | (~((~property(F)) | (~object(X)))))) | (~is_the(god, none_greater)) | (~((~property(none_greater)) | (~object(god))))),
% 0.22/0.41 inference(modus_ponens,[status(thm)],[18, 17])).
% 0.22/0.41 tff(20,plain,
% 0.22/0.41 (~((~property(none_greater)) | (~object(god)))),
% 0.22/0.41 inference(unit_resolution,[status(thm)],[19, 16, 3])).
% 0.22/0.41 tff(21,plain,
% 0.22/0.41 (((~property(none_greater)) | (~object(god))) | object(god)),
% 0.22/0.41 inference(tautology,[status(thm)],[])).
% 0.22/0.41 tff(22,plain,
% 0.22/0.41 (object(god)),
% 0.22/0.41 inference(unit_resolution,[status(thm)],[21, 20])).
% 0.22/0.41 tff(23,plain,
% 0.22/0.41 (?[X: $i] : (object(X) & exemplifies_property(none_greater, X)) <=> ?[X: $i] : (object(X) & exemplifies_property(none_greater, X))),
% 0.22/0.41 inference(rewrite,[status(thm)],[])).
% 0.22/0.41 tff(24,axiom,(?[X: $i] : (object(X) & exemplifies_property(none_greater, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','premise_1')).
% 0.22/0.41 tff(25,plain,
% 0.22/0.41 (?[X: $i] : (object(X) & exemplifies_property(none_greater, X))),
% 0.22/0.41 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.22/0.41 tff(26,plain,(
% 0.22/0.41 object(X!4) & exemplifies_property(none_greater, X!4)),
% 0.22/0.41 inference(skolemize,[status(sab)],[25])).
% 0.22/0.41 tff(27,plain,
% 0.22/0.41 (exemplifies_property(none_greater, X!4)),
% 0.22/0.41 inference(and_elim,[status(thm)],[26])).
% 0.22/0.41 tff(28,plain,
% 0.22/0.41 (^[X: $i, F: $i] : refl(((~exemplifies_property(F, X)) | (~((~property(F)) | (~object(X))))) <=> ((~exemplifies_property(F, X)) | (~((~property(F)) | (~object(X))))))),
% 0.22/0.41 inference(bind,[status(th)],[])).
% 0.22/0.41 tff(29,plain,
% 0.22/0.41 (![X: $i, F: $i] : ((~exemplifies_property(F, X)) | (~((~property(F)) | (~object(X))))) <=> ![X: $i, F: $i] : ((~exemplifies_property(F, X)) | (~((~property(F)) | (~object(X)))))),
% 0.22/0.41 inference(quant_intro,[status(thm)],[28])).
% 0.22/0.41 tff(30,plain,
% 0.22/0.41 (^[X: $i, F: $i] : rewrite(((~exemplifies_property(F, X)) | (property(F) & object(X))) <=> ((~exemplifies_property(F, X)) | (~((~property(F)) | (~object(X))))))),
% 0.22/0.41 inference(bind,[status(th)],[])).
% 0.22/0.41 tff(31,plain,
% 0.22/0.41 (![X: $i, F: $i] : ((~exemplifies_property(F, X)) | (property(F) & object(X))) <=> ![X: $i, F: $i] : ((~exemplifies_property(F, X)) | (~((~property(F)) | (~object(X)))))),
% 0.22/0.41 inference(quant_intro,[status(thm)],[30])).
% 0.22/0.41 tff(32,plain,
% 0.22/0.41 (![X: $i, F: $i] : ((~exemplifies_property(F, X)) | (property(F) & object(X))) <=> ![X: $i, F: $i] : ((~exemplifies_property(F, X)) | (property(F) & object(X)))),
% 0.22/0.41 inference(rewrite,[status(thm)],[])).
% 0.22/0.41 tff(33,plain,
% 0.22/0.41 (^[X: $i, F: $i] : rewrite((exemplifies_property(F, X) => (property(F) & object(X))) <=> ((~exemplifies_property(F, X)) | (property(F) & object(X))))),
% 0.22/0.41 inference(bind,[status(th)],[])).
% 0.22/0.41 tff(34,plain,
% 0.22/0.41 (![X: $i, F: $i] : (exemplifies_property(F, X) => (property(F) & object(X))) <=> ![X: $i, F: $i] : ((~exemplifies_property(F, X)) | (property(F) & object(X)))),
% 0.22/0.41 inference(quant_intro,[status(thm)],[33])).
% 0.22/0.41 tff(35,axiom,(![X: $i, F: $i] : (exemplifies_property(F, X) => (property(F) & object(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','exemplifier_is_object_and_exemplified_is_property')).
% 0.22/0.41 tff(36,plain,
% 0.22/0.41 (![X: $i, F: $i] : ((~exemplifies_property(F, X)) | (property(F) & object(X)))),
% 0.22/0.41 inference(modus_ponens,[status(thm)],[35, 34])).
% 0.22/0.41 tff(37,plain,
% 0.22/0.41 (![X: $i, F: $i] : ((~exemplifies_property(F, X)) | (property(F) & object(X)))),
% 0.22/0.41 inference(modus_ponens,[status(thm)],[36, 32])).
% 0.22/0.41 tff(38,plain,(
% 0.22/0.41 ![X: $i, F: $i] : ((~exemplifies_property(F, X)) | (property(F) & object(X)))),
% 0.22/0.41 inference(skolemize,[status(sab)],[37])).
% 0.22/0.41 tff(39,plain,
% 0.22/0.41 (![X: $i, F: $i] : ((~exemplifies_property(F, X)) | (~((~property(F)) | (~object(X)))))),
% 0.22/0.41 inference(modus_ponens,[status(thm)],[38, 31])).
% 0.22/0.41 tff(40,plain,
% 0.22/0.41 (![X: $i, F: $i] : ((~exemplifies_property(F, X)) | (~((~property(F)) | (~object(X)))))),
% 0.22/0.41 inference(modus_ponens,[status(thm)],[39, 29])).
% 0.22/0.41 tff(41,plain,
% 0.22/0.41 (((~![X: $i, F: $i] : ((~exemplifies_property(F, X)) | (~((~property(F)) | (~object(X)))))) | ((~exemplifies_property(none_greater, X!4)) | (~((~object(X!4)) | (~property(none_greater)))))) <=> ((~![X: $i, F: $i] : ((~exemplifies_property(F, X)) | (~((~property(F)) | (~object(X)))))) | (~exemplifies_property(none_greater, X!4)) | (~((~object(X!4)) | (~property(none_greater)))))),
% 0.22/0.41 inference(rewrite,[status(thm)],[])).
% 0.22/0.41 tff(42,plain,
% 0.22/0.41 (((~exemplifies_property(none_greater, X!4)) | (~((~property(none_greater)) | (~object(X!4))))) <=> ((~exemplifies_property(none_greater, X!4)) | (~((~object(X!4)) | (~property(none_greater)))))),
% 0.22/0.41 inference(rewrite,[status(thm)],[])).
% 0.22/0.41 tff(43,plain,
% 0.22/0.41 (((~![X: $i, F: $i] : ((~exemplifies_property(F, X)) | (~((~property(F)) | (~object(X)))))) | ((~exemplifies_property(none_greater, X!4)) | (~((~property(none_greater)) | (~object(X!4)))))) <=> ((~![X: $i, F: $i] : ((~exemplifies_property(F, X)) | (~((~property(F)) | (~object(X)))))) | ((~exemplifies_property(none_greater, X!4)) | (~((~object(X!4)) | (~property(none_greater))))))),
% 0.22/0.41 inference(monotonicity,[status(thm)],[42])).
% 0.22/0.41 tff(44,plain,
% 0.22/0.41 (((~![X: $i, F: $i] : ((~exemplifies_property(F, X)) | (~((~property(F)) | (~object(X)))))) | ((~exemplifies_property(none_greater, X!4)) | (~((~property(none_greater)) | (~object(X!4)))))) <=> ((~![X: $i, F: $i] : ((~exemplifies_property(F, X)) | (~((~property(F)) | (~object(X)))))) | (~exemplifies_property(none_greater, X!4)) | (~((~object(X!4)) | (~property(none_greater)))))),
% 0.22/0.41 inference(transitivity,[status(thm)],[43, 41])).
% 0.22/0.41 tff(45,plain,
% 0.22/0.41 ((~![X: $i, F: $i] : ((~exemplifies_property(F, X)) | (~((~property(F)) | (~object(X)))))) | ((~exemplifies_property(none_greater, X!4)) | (~((~property(none_greater)) | (~object(X!4)))))),
% 0.22/0.41 inference(quant_inst,[status(thm)],[])).
% 0.22/0.41 tff(46,plain,
% 0.22/0.41 ((~![X: $i, F: $i] : ((~exemplifies_property(F, X)) | (~((~property(F)) | (~object(X)))))) | (~exemplifies_property(none_greater, X!4)) | (~((~object(X!4)) | (~property(none_greater))))),
% 0.22/0.41 inference(modus_ponens,[status(thm)],[45, 44])).
% 0.22/0.41 tff(47,plain,
% 0.22/0.41 (~((~object(X!4)) | (~property(none_greater)))),
% 0.22/0.41 inference(unit_resolution,[status(thm)],[46, 40, 27])).
% 0.22/0.41 tff(48,plain,
% 0.22/0.41 (((~object(X!4)) | (~property(none_greater))) | property(none_greater)),
% 0.22/0.41 inference(tautology,[status(thm)],[])).
% 0.22/0.41 tff(49,plain,
% 0.22/0.41 (property(none_greater)),
% 0.22/0.41 inference(unit_resolution,[status(thm)],[48, 47])).
% 0.22/0.41 tff(50,plain,
% 0.22/0.41 (^[F: $i, X: $i, W: $i] : rewrite(((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~is_the(X, F)) | (~(X = W)) | (~((~object(tptp_fun_Y_2(W, F))) | (~exemplifies_property(F, tptp_fun_Y_2(W, F))) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F)))) | (~(tptp_fun_Y_2(W, F) = W)))))) | (~((~((~is_the(X, F)) | (~(X = W)))) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(F, Y)) | (~((tptp_fun_Z_1(Y, F) = Y) | (~object(tptp_fun_Z_1(Y, F))) | (~exemplifies_property(F, tptp_fun_Z_1(Y, F))))) | (~(Y = W)))))))) <=> ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~((~is_the(X, F)) | (~(X = W)))) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(F, Y)) | (~((tptp_fun_Z_1(Y, F) = Y) | (~object(tptp_fun_Z_1(Y, F))) | (~exemplifies_property(F, tptp_fun_Z_1(Y, F))))) | (~(Y = W))))) | (~((~is_the(X, F)) | (~(X = W)) | (~((~object(tptp_fun_Y_2(W, F))) | (~exemplifies_property(F, tptp_fun_Y_2(W, F))) | (~(tptp_fun_Y_2(W, F) = W)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F))))))))))))),
% 0.22/0.41 inference(bind,[status(th)],[])).
% 0.22/0.41 tff(51,plain,
% 0.22/0.41 (![F: $i, X: $i, W: $i] : ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~is_the(X, F)) | (~(X = W)) | (~((~object(tptp_fun_Y_2(W, F))) | (~exemplifies_property(F, tptp_fun_Y_2(W, F))) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F)))) | (~(tptp_fun_Y_2(W, F) = W)))))) | (~((~((~is_the(X, F)) | (~(X = W)))) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(F, Y)) | (~((tptp_fun_Z_1(Y, F) = Y) | (~object(tptp_fun_Z_1(Y, F))) | (~exemplifies_property(F, tptp_fun_Z_1(Y, F))))) | (~(Y = W)))))))) <=> ![F: $i, X: $i, W: $i] : ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~((~is_the(X, F)) | (~(X = W)))) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(F, Y)) | (~((tptp_fun_Z_1(Y, F) = Y) | (~object(tptp_fun_Z_1(Y, F))) | (~exemplifies_property(F, tptp_fun_Z_1(Y, F))))) | (~(Y = W))))) | (~((~is_the(X, F)) | (~(X = W)) | (~((~object(tptp_fun_Y_2(W, F))) | (~exemplifies_property(F, tptp_fun_Y_2(W, F))) | (~(tptp_fun_Y_2(W, F) = W)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F)))))))))))),
% 0.22/0.41 inference(quant_intro,[status(thm)],[50])).
% 0.22/0.41 tff(52,plain,
% 0.22/0.41 (^[F: $i, X: $i, W: $i] : refl(((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~is_the(X, F)) | (~(X = W)) | (~((~object(tptp_fun_Y_2(W, F))) | (~exemplifies_property(F, tptp_fun_Y_2(W, F))) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F)))) | (~(tptp_fun_Y_2(W, F) = W)))))) | (~((~((~is_the(X, F)) | (~(X = W)))) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(F, Y)) | (~((tptp_fun_Z_1(Y, F) = Y) | (~object(tptp_fun_Z_1(Y, F))) | (~exemplifies_property(F, tptp_fun_Z_1(Y, F))))) | (~(Y = W)))))))) <=> ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~is_the(X, F)) | (~(X = W)) | (~((~object(tptp_fun_Y_2(W, F))) | (~exemplifies_property(F, tptp_fun_Y_2(W, F))) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F)))) | (~(tptp_fun_Y_2(W, F) = W)))))) | (~((~((~is_the(X, F)) | (~(X = W)))) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(F, Y)) | (~((tptp_fun_Z_1(Y, F) = Y) | (~object(tptp_fun_Z_1(Y, F))) | (~exemplifies_property(F, tptp_fun_Z_1(Y, F))))) | (~(Y = W)))))))))),
% 0.22/0.41 inference(bind,[status(th)],[])).
% 0.22/0.41 tff(53,plain,
% 0.22/0.41 (![F: $i, X: $i, W: $i] : ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~is_the(X, F)) | (~(X = W)) | (~((~object(tptp_fun_Y_2(W, F))) | (~exemplifies_property(F, tptp_fun_Y_2(W, F))) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F)))) | (~(tptp_fun_Y_2(W, F) = W)))))) | (~((~((~is_the(X, F)) | (~(X = W)))) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(F, Y)) | (~((tptp_fun_Z_1(Y, F) = Y) | (~object(tptp_fun_Z_1(Y, F))) | (~exemplifies_property(F, tptp_fun_Z_1(Y, F))))) | (~(Y = W)))))))) <=> ![F: $i, X: $i, W: $i] : ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~is_the(X, F)) | (~(X = W)) | (~((~object(tptp_fun_Y_2(W, F))) | (~exemplifies_property(F, tptp_fun_Y_2(W, F))) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F)))) | (~(tptp_fun_Y_2(W, F) = W)))))) | (~((~((~is_the(X, F)) | (~(X = W)))) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(F, Y)) | (~((tptp_fun_Z_1(Y, F) = Y) | (~object(tptp_fun_Z_1(Y, F))) | (~exemplifies_property(F, tptp_fun_Z_1(Y, F))))) | (~(Y = W))))))))),
% 0.22/0.41 inference(quant_intro,[status(thm)],[52])).
% 0.22/0.41 tff(54,plain,
% 0.22/0.41 (^[F: $i, X: $i, W: $i] : rewrite(((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~is_the(X, F)) | (~(X = W)) | (~((~object(tptp_fun_Y_2(W, F))) | (~exemplifies_property(F, tptp_fun_Y_2(W, F))) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F)))) | (~(tptp_fun_Y_2(W, F) = W)))))) | (~((~((~is_the(X, F)) | (~(X = W)))) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(F, Y)) | (~((tptp_fun_Z_1(Y, F) = Y) | (~object(tptp_fun_Z_1(Y, F))) | (~exemplifies_property(F, tptp_fun_Z_1(Y, F))))) | (~(Y = W)))))))) <=> ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~is_the(X, F)) | (~(X = W)) | (~((~object(tptp_fun_Y_2(W, F))) | (~exemplifies_property(F, tptp_fun_Y_2(W, F))) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F)))) | (~(tptp_fun_Y_2(W, F) = W)))))) | (~((~((~is_the(X, F)) | (~(X = W)))) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(F, Y)) | (~((tptp_fun_Z_1(Y, F) = Y) | (~object(tptp_fun_Z_1(Y, F))) | (~exemplifies_property(F, tptp_fun_Z_1(Y, F))))) | (~(Y = W)))))))))),
% 0.22/0.41 inference(bind,[status(th)],[])).
% 0.22/0.41 tff(55,plain,
% 0.22/0.41 (![F: $i, X: $i, W: $i] : ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~is_the(X, F)) | (~(X = W)) | (~((~object(tptp_fun_Y_2(W, F))) | (~exemplifies_property(F, tptp_fun_Y_2(W, F))) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F)))) | (~(tptp_fun_Y_2(W, F) = W)))))) | (~((~((~is_the(X, F)) | (~(X = W)))) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(F, Y)) | (~((tptp_fun_Z_1(Y, F) = Y) | (~object(tptp_fun_Z_1(Y, F))) | (~exemplifies_property(F, tptp_fun_Z_1(Y, F))))) | (~(Y = W)))))))) <=> ![F: $i, X: $i, W: $i] : ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~is_the(X, F)) | (~(X = W)) | (~((~object(tptp_fun_Y_2(W, F))) | (~exemplifies_property(F, tptp_fun_Y_2(W, F))) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F)))) | (~(tptp_fun_Y_2(W, F) = W)))))) | (~((~((~is_the(X, F)) | (~(X = W)))) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(F, Y)) | (~((tptp_fun_Z_1(Y, F) = Y) | (~object(tptp_fun_Z_1(Y, F))) | (~exemplifies_property(F, tptp_fun_Z_1(Y, F))))) | (~(Y = W))))))))),
% 0.22/0.41 inference(quant_intro,[status(thm)],[54])).
% 0.22/0.41 tff(56,plain,
% 0.22/0.41 (![F: $i, X: $i, W: $i] : ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~is_the(X, F)) | (~(X = W)) | (~((~object(tptp_fun_Y_2(W, F))) | (~exemplifies_property(F, tptp_fun_Y_2(W, F))) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F)))) | (~(tptp_fun_Y_2(W, F) = W)))))) | (~((~((~is_the(X, F)) | (~(X = W)))) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(F, Y)) | (~((tptp_fun_Z_1(Y, F) = Y) | (~object(tptp_fun_Z_1(Y, F))) | (~exemplifies_property(F, tptp_fun_Z_1(Y, F))))) | (~(Y = W)))))))) <=> ![F: $i, X: $i, W: $i] : ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~is_the(X, F)) | (~(X = W)) | (~((~object(tptp_fun_Y_2(W, F))) | (~exemplifies_property(F, tptp_fun_Y_2(W, F))) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F)))) | (~(tptp_fun_Y_2(W, F) = W)))))) | (~((~((~is_the(X, F)) | (~(X = W)))) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(F, Y)) | (~((tptp_fun_Z_1(Y, F) = Y) | (~object(tptp_fun_Z_1(Y, F))) | (~exemplifies_property(F, tptp_fun_Z_1(Y, F))))) | (~(Y = W))))))))),
% 0.22/0.41 inference(transitivity,[status(thm)],[55, 53])).
% 0.22/0.41 tff(57,plain,
% 0.22/0.41 (^[F: $i, X: $i, W: $i] : trans(monotonicity(trans(monotonicity(rewrite((property(F) & object(X) & object(W)) <=> (~((~object(W)) | (~object(X)) | (~property(F))))), ((~(property(F) & object(X) & object(W))) <=> (~(~((~object(W)) | (~object(X)) | (~property(F))))))), rewrite((~(~((~object(W)) | (~object(X)) | (~property(F))))) <=> ((~object(W)) | (~object(X)) | (~property(F)))), ((~(property(F) & object(X) & object(W))) <=> ((~object(W)) | (~object(X)) | (~property(F))))), trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((is_the(X, F) & (X = W)) <=> (~((~is_the(X, F)) | (~(X = W))))), ((~(is_the(X, F) & (X = W))) <=> (~(~((~is_the(X, F)) | (~(X = W))))))), rewrite((~(~((~is_the(X, F)) | (~(X = W))))) <=> ((~is_the(X, F)) | (~(X = W)))), ((~(is_the(X, F) & (X = W))) <=> ((~is_the(X, F)) | (~(X = W))))), rewrite((object(tptp_fun_Y_2(W, F)) & exemplifies_property(F, tptp_fun_Y_2(W, F)) & ![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F))) & (tptp_fun_Y_2(W, F) = W)) <=> (~((~object(tptp_fun_Y_2(W, F))) | (~exemplifies_property(F, tptp_fun_Y_2(W, F))) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F)))) | (~(tptp_fun_Y_2(W, F) = W))))), (((~(is_the(X, F) & (X = W))) | (object(tptp_fun_Y_2(W, F)) & exemplifies_property(F, tptp_fun_Y_2(W, F)) & ![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F))) & (tptp_fun_Y_2(W, F) = W))) <=> (((~is_the(X, F)) | (~(X = W))) | (~((~object(tptp_fun_Y_2(W, F))) | (~exemplifies_property(F, tptp_fun_Y_2(W, F))) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F)))) | (~(tptp_fun_Y_2(W, F) = W))))))), rewrite((((~is_the(X, F)) | (~(X = W))) | (~((~object(tptp_fun_Y_2(W, F))) | (~exemplifies_property(F, tptp_fun_Y_2(W, F))) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F)))) | (~(tptp_fun_Y_2(W, F) = W))))) <=> ((~is_the(X, F)) | (~(X = W)) | (~((~object(tptp_fun_Y_2(W, F))) | (~exemplifies_property(F, tptp_fun_Y_2(W, F))) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F)))) | (~(tptp_fun_Y_2(W, F) = W)))))), (((~(is_the(X, F) & (X = W))) | (object(tptp_fun_Y_2(W, F)) & exemplifies_property(F, tptp_fun_Y_2(W, F)) & ![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F))) & (tptp_fun_Y_2(W, F) = W))) <=> ((~is_the(X, F)) | (~(X = W)) | (~((~object(tptp_fun_Y_2(W, F))) | (~exemplifies_property(F, tptp_fun_Y_2(W, F))) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F)))) | (~(tptp_fun_Y_2(W, F) = W))))))), rewrite(((is_the(X, F) & (X = W)) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(F, Y)) | (~((tptp_fun_Z_1(Y, F) = Y) | (~object(tptp_fun_Z_1(Y, F))) | (~exemplifies_property(F, tptp_fun_Z_1(Y, F))))) | (~(Y = W)))) <=> ((~((~is_the(X, F)) | (~(X = W)))) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(F, Y)) | (~((tptp_fun_Z_1(Y, F) = Y) | (~object(tptp_fun_Z_1(Y, F))) | (~exemplifies_property(F, tptp_fun_Z_1(Y, F))))) | (~(Y = W))))), ((((~(is_the(X, F) & (X = W))) | (object(tptp_fun_Y_2(W, F)) & exemplifies_property(F, tptp_fun_Y_2(W, F)) & ![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F))) & (tptp_fun_Y_2(W, F) = W))) & ((is_the(X, F) & (X = W)) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(F, Y)) | (~((tptp_fun_Z_1(Y, F) = Y) | (~object(tptp_fun_Z_1(Y, F))) | (~exemplifies_property(F, tptp_fun_Z_1(Y, F))))) | (~(Y = W))))) <=> (((~is_the(X, F)) | (~(X = W)) | (~((~object(tptp_fun_Y_2(W, F))) | (~exemplifies_property(F, tptp_fun_Y_2(W, F))) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F)))) | (~(tptp_fun_Y_2(W, F) = W))))) & ((~((~is_the(X, F)) | (~(X = W)))) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(F, Y)) | (~((tptp_fun_Z_1(Y, F) = Y) | (~object(tptp_fun_Z_1(Y, F))) | (~exemplifies_property(F, tptp_fun_Z_1(Y, F))))) | (~(Y = W))))))), rewrite((((~is_the(X, F)) | (~(X = W)) | (~((~object(tptp_fun_Y_2(W, F))) | (~exemplifies_property(F, tptp_fun_Y_2(W, F))) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F)))) | (~(tptp_fun_Y_2(W, F) = W))))) & ((~((~is_the(X, F)) | (~(X = W)))) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(F, Y)) | (~((tptp_fun_Z_1(Y, F) = Y) | (~object(tptp_fun_Z_1(Y, F))) | (~exemplifies_property(F, tptp_fun_Z_1(Y, F))))) | (~(Y = W))))) <=> (~((~((~is_the(X, F)) | (~(X = W)) | (~((~object(tptp_fun_Y_2(W, F))) | (~exemplifies_property(F, tptp_fun_Y_2(W, F))) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F)))) | (~(tptp_fun_Y_2(W, F) = W)))))) | (~((~((~is_the(X, F)) | (~(X = W)))) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(F, Y)) | (~((tptp_fun_Z_1(Y, F) = Y) | (~object(tptp_fun_Z_1(Y, F))) | (~exemplifies_property(F, tptp_fun_Z_1(Y, F))))) | (~(Y = W)))))))), ((((~(is_the(X, F) & (X = W))) | (object(tptp_fun_Y_2(W, F)) & exemplifies_property(F, tptp_fun_Y_2(W, F)) & ![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F))) & (tptp_fun_Y_2(W, F) = W))) & ((is_the(X, F) & (X = W)) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(F, Y)) | (~((tptp_fun_Z_1(Y, F) = Y) | (~object(tptp_fun_Z_1(Y, F))) | (~exemplifies_property(F, tptp_fun_Z_1(Y, F))))) | (~(Y = W))))) <=> (~((~((~is_the(X, F)) | (~(X = W)) | (~((~object(tptp_fun_Y_2(W, F))) | (~exemplifies_property(F, tptp_fun_Y_2(W, F))) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F)))) | (~(tptp_fun_Y_2(W, F) = W)))))) | (~((~((~is_the(X, F)) | (~(X = W)))) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(F, Y)) | (~((tptp_fun_Z_1(Y, F) = Y) | (~object(tptp_fun_Z_1(Y, F))) | (~exemplifies_property(F, tptp_fun_Z_1(Y, F))))) | (~(Y = W))))))))), (((~(property(F) & object(X) & object(W))) | (((~(is_the(X, F) & (X = W))) | (object(tptp_fun_Y_2(W, F)) & exemplifies_property(F, tptp_fun_Y_2(W, F)) & ![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F))) & (tptp_fun_Y_2(W, F) = W))) & ((is_the(X, F) & (X = W)) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(F, Y)) | (~((tptp_fun_Z_1(Y, F) = Y) | (~object(tptp_fun_Z_1(Y, F))) | (~exemplifies_property(F, tptp_fun_Z_1(Y, F))))) | (~(Y = W)))))) <=> (((~object(W)) | (~object(X)) | (~property(F))) | (~((~((~is_the(X, F)) | (~(X = W)) | (~((~object(tptp_fun_Y_2(W, F))) | (~exemplifies_property(F, tptp_fun_Y_2(W, F))) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F)))) | (~(tptp_fun_Y_2(W, F) = W)))))) | (~((~((~is_the(X, F)) | (~(X = W)))) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(F, Y)) | (~((tptp_fun_Z_1(Y, F) = Y) | (~object(tptp_fun_Z_1(Y, F))) | (~exemplifies_property(F, tptp_fun_Z_1(Y, F))))) | (~(Y = W)))))))))), rewrite((((~object(W)) | (~object(X)) | (~property(F))) | (~((~((~is_the(X, F)) | (~(X = W)) | (~((~object(tptp_fun_Y_2(W, F))) | (~exemplifies_property(F, tptp_fun_Y_2(W, F))) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F)))) | (~(tptp_fun_Y_2(W, F) = W)))))) | (~((~((~is_the(X, F)) | (~(X = W)))) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(F, Y)) | (~((tptp_fun_Z_1(Y, F) = Y) | (~object(tptp_fun_Z_1(Y, F))) | (~exemplifies_property(F, tptp_fun_Z_1(Y, F))))) | (~(Y = W)))))))) <=> ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~is_the(X, F)) | (~(X = W)) | (~((~object(tptp_fun_Y_2(W, F))) | (~exemplifies_property(F, tptp_fun_Y_2(W, F))) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F)))) | (~(tptp_fun_Y_2(W, F) = W)))))) | (~((~((~is_the(X, F)) | (~(X = W)))) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(F, Y)) | (~((tptp_fun_Z_1(Y, F) = Y) | (~object(tptp_fun_Z_1(Y, F))) | (~exemplifies_property(F, tptp_fun_Z_1(Y, F))))) | (~(Y = W))))))))), (((~(property(F) & object(X) & object(W))) | (((~(is_the(X, F) & (X = W))) | (object(tptp_fun_Y_2(W, F)) & exemplifies_property(F, tptp_fun_Y_2(W, F)) & ![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F))) & (tptp_fun_Y_2(W, F) = W))) & ((is_the(X, F) & (X = W)) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(F, Y)) | (~((tptp_fun_Z_1(Y, F) = Y) | (~object(tptp_fun_Z_1(Y, F))) | (~exemplifies_property(F, tptp_fun_Z_1(Y, F))))) | (~(Y = W)))))) <=> ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~is_the(X, F)) | (~(X = W)) | (~((~object(tptp_fun_Y_2(W, F))) | (~exemplifies_property(F, tptp_fun_Y_2(W, F))) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F)))) | (~(tptp_fun_Y_2(W, F) = W)))))) | (~((~((~is_the(X, F)) | (~(X = W)))) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(F, Y)) | (~((tptp_fun_Z_1(Y, F) = Y) | (~object(tptp_fun_Z_1(Y, F))) | (~exemplifies_property(F, tptp_fun_Z_1(Y, F))))) | (~(Y = W))))))))))),
% 0.22/0.42 inference(bind,[status(th)],[])).
% 0.22/0.42 tff(58,plain,
% 0.22/0.42 (![F: $i, X: $i, W: $i] : ((~(property(F) & object(X) & object(W))) | (((~(is_the(X, F) & (X = W))) | (object(tptp_fun_Y_2(W, F)) & exemplifies_property(F, tptp_fun_Y_2(W, F)) & ![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F))) & (tptp_fun_Y_2(W, F) = W))) & ((is_the(X, F) & (X = W)) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(F, Y)) | (~((tptp_fun_Z_1(Y, F) = Y) | (~object(tptp_fun_Z_1(Y, F))) | (~exemplifies_property(F, tptp_fun_Z_1(Y, F))))) | (~(Y = W)))))) <=> ![F: $i, X: $i, W: $i] : ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~is_the(X, F)) | (~(X = W)) | (~((~object(tptp_fun_Y_2(W, F))) | (~exemplifies_property(F, tptp_fun_Y_2(W, F))) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F)))) | (~(tptp_fun_Y_2(W, F) = W)))))) | (~((~((~is_the(X, F)) | (~(X = W)))) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(F, Y)) | (~((tptp_fun_Z_1(Y, F) = Y) | (~object(tptp_fun_Z_1(Y, F))) | (~exemplifies_property(F, tptp_fun_Z_1(Y, F))))) | (~(Y = W))))))))),
% 0.22/0.42 inference(quant_intro,[status(thm)],[57])).
% 0.22/0.42 tff(59,plain,
% 0.22/0.42 (^[F: $i, X: $i, W: $i] : rewrite(((~(property(F) & object(X) & object(W))) | (((~(is_the(X, F) & (X = W))) | (object(tptp_fun_Y_2(W, F)) & exemplifies_property(F, tptp_fun_Y_2(W, F)) & ![Z: $i] : ((Z = tptp_fun_Y_2(W, F)) | (~object(Z)) | (~exemplifies_property(F, Z))) & (tptp_fun_Y_2(W, F) = W))) & ((is_the(X, F) & (X = W)) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(F, Y)) | (~((tptp_fun_Z_1(Y, F) = Y) | (~object(tptp_fun_Z_1(Y, F))) | (~exemplifies_property(F, tptp_fun_Z_1(Y, F))))) | (~(Y = W)))))) <=> ((~(property(F) & object(X) & object(W))) | (((~(is_the(X, F) & (X = W))) | (object(tptp_fun_Y_2(W, F)) & exemplifies_property(F, tptp_fun_Y_2(W, F)) & ![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F))) & (tptp_fun_Y_2(W, F) = W))) & ((is_the(X, F) & (X = W)) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(F, Y)) | (~((tptp_fun_Z_1(Y, F) = Y) | (~object(tptp_fun_Z_1(Y, F))) | (~exemplifies_property(F, tptp_fun_Z_1(Y, F))))) | (~(Y = W)))))))),
% 0.22/0.42 inference(bind,[status(th)],[])).
% 0.22/0.42 tff(60,plain,
% 0.22/0.42 (![F: $i, X: $i, W: $i] : ((~(property(F) & object(X) & object(W))) | (((~(is_the(X, F) & (X = W))) | (object(tptp_fun_Y_2(W, F)) & exemplifies_property(F, tptp_fun_Y_2(W, F)) & ![Z: $i] : ((Z = tptp_fun_Y_2(W, F)) | (~object(Z)) | (~exemplifies_property(F, Z))) & (tptp_fun_Y_2(W, F) = W))) & ((is_the(X, F) & (X = W)) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(F, Y)) | (~((tptp_fun_Z_1(Y, F) = Y) | (~object(tptp_fun_Z_1(Y, F))) | (~exemplifies_property(F, tptp_fun_Z_1(Y, F))))) | (~(Y = W)))))) <=> ![F: $i, X: $i, W: $i] : ((~(property(F) & object(X) & object(W))) | (((~(is_the(X, F) & (X = W))) | (object(tptp_fun_Y_2(W, F)) & exemplifies_property(F, tptp_fun_Y_2(W, F)) & ![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F))) & (tptp_fun_Y_2(W, F) = W))) & ((is_the(X, F) & (X = W)) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(F, Y)) | (~((tptp_fun_Z_1(Y, F) = Y) | (~object(tptp_fun_Z_1(Y, F))) | (~exemplifies_property(F, tptp_fun_Z_1(Y, F))))) | (~(Y = W))))))),
% 0.22/0.42 inference(quant_intro,[status(thm)],[59])).
% 0.22/0.42 tff(61,plain,
% 0.22/0.42 (![F: $i, X: $i, W: $i] : ((~(property(F) & object(X) & object(W))) | ((is_the(X, F) & (X = W)) <=> ?[Y: $i] : (object(Y) & exemplifies_property(F, Y) & ![Z: $i] : ((Z = Y) | (~object(Z)) | (~exemplifies_property(F, Z))) & (Y = W)))) <=> ![F: $i, X: $i, W: $i] : ((~(property(F) & object(X) & object(W))) | ((is_the(X, F) & (X = W)) <=> ?[Y: $i] : (object(Y) & exemplifies_property(F, Y) & ![Z: $i] : ((Z = Y) | (~object(Z)) | (~exemplifies_property(F, Z))) & (Y = W))))),
% 0.22/0.42 inference(rewrite,[status(thm)],[])).
% 0.22/0.42 tff(62,plain,
% 0.22/0.42 (^[F: $i, X: $i, W: $i] : trans(monotonicity(rewrite(((property(F) & object(X)) & object(W)) <=> (property(F) & object(X) & object(W))), rewrite(((is_the(X, F) & (X = W)) <=> ?[Y: $i] : (((object(Y) & exemplifies_property(F, Y)) & ![Z: $i] : (object(Z) => (exemplifies_property(F, Z) => (Z = Y)))) & (Y = W))) <=> ((is_the(X, F) & (X = W)) <=> ?[Y: $i] : (object(Y) & exemplifies_property(F, Y) & ![Z: $i] : ((Z = Y) | (~object(Z)) | (~exemplifies_property(F, Z))) & (Y = W)))), ((((property(F) & object(X)) & object(W)) => ((is_the(X, F) & (X = W)) <=> ?[Y: $i] : (((object(Y) & exemplifies_property(F, Y)) & ![Z: $i] : (object(Z) => (exemplifies_property(F, Z) => (Z = Y)))) & (Y = W)))) <=> ((property(F) & object(X) & object(W)) => ((is_the(X, F) & (X = W)) <=> ?[Y: $i] : (object(Y) & exemplifies_property(F, Y) & ![Z: $i] : ((Z = Y) | (~object(Z)) | (~exemplifies_property(F, Z))) & (Y = W)))))), rewrite(((property(F) & object(X) & object(W)) => ((is_the(X, F) & (X = W)) <=> ?[Y: $i] : (object(Y) & exemplifies_property(F, Y) & ![Z: $i] : ((Z = Y) | (~object(Z)) | (~exemplifies_property(F, Z))) & (Y = W)))) <=> ((~(property(F) & object(X) & object(W))) | ((is_the(X, F) & (X = W)) <=> ?[Y: $i] : (object(Y) & exemplifies_property(F, Y) & ![Z: $i] : ((Z = Y) | (~object(Z)) | (~exemplifies_property(F, Z))) & (Y = W))))), ((((property(F) & object(X)) & object(W)) => ((is_the(X, F) & (X = W)) <=> ?[Y: $i] : (((object(Y) & exemplifies_property(F, Y)) & ![Z: $i] : (object(Z) => (exemplifies_property(F, Z) => (Z = Y)))) & (Y = W)))) <=> ((~(property(F) & object(X) & object(W))) | ((is_the(X, F) & (X = W)) <=> ?[Y: $i] : (object(Y) & exemplifies_property(F, Y) & ![Z: $i] : ((Z = Y) | (~object(Z)) | (~exemplifies_property(F, Z))) & (Y = W))))))),
% 0.22/0.42 inference(bind,[status(th)],[])).
% 0.22/0.42 tff(63,plain,
% 0.22/0.42 (![F: $i, X: $i, W: $i] : (((property(F) & object(X)) & object(W)) => ((is_the(X, F) & (X = W)) <=> ?[Y: $i] : (((object(Y) & exemplifies_property(F, Y)) & ![Z: $i] : (object(Z) => (exemplifies_property(F, Z) => (Z = Y)))) & (Y = W)))) <=> ![F: $i, X: $i, W: $i] : ((~(property(F) & object(X) & object(W))) | ((is_the(X, F) & (X = W)) <=> ?[Y: $i] : (object(Y) & exemplifies_property(F, Y) & ![Z: $i] : ((Z = Y) | (~object(Z)) | (~exemplifies_property(F, Z))) & (Y = W))))),
% 0.22/0.42 inference(quant_intro,[status(thm)],[62])).
% 0.22/0.42 tff(64,axiom,(![F: $i, X: $i, W: $i] : (((property(F) & object(X)) & object(W)) => ((is_the(X, F) & (X = W)) <=> ?[Y: $i] : (((object(Y) & exemplifies_property(F, Y)) & ![Z: $i] : (object(Z) => (exemplifies_property(F, Z) => (Z = Y)))) & (Y = W))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','description_axiom_identity_instance')).
% 0.22/0.42 tff(65,plain,
% 0.22/0.42 (![F: $i, X: $i, W: $i] : ((~(property(F) & object(X) & object(W))) | ((is_the(X, F) & (X = W)) <=> ?[Y: $i] : (object(Y) & exemplifies_property(F, Y) & ![Z: $i] : ((Z = Y) | (~object(Z)) | (~exemplifies_property(F, Z))) & (Y = W))))),
% 0.22/0.42 inference(modus_ponens,[status(thm)],[64, 63])).
% 0.22/0.42 tff(66,plain,
% 0.22/0.42 (![F: $i, X: $i, W: $i] : ((~(property(F) & object(X) & object(W))) | ((is_the(X, F) & (X = W)) <=> ?[Y: $i] : (object(Y) & exemplifies_property(F, Y) & ![Z: $i] : ((Z = Y) | (~object(Z)) | (~exemplifies_property(F, Z))) & (Y = W))))),
% 0.22/0.42 inference(modus_ponens,[status(thm)],[65, 61])).
% 0.22/0.42 tff(67,plain,(
% 0.22/0.42 ![F: $i, X: $i, W: $i] : ((~(property(F) & object(X) & object(W))) | (((~(is_the(X, F) & (X = W))) | (object(tptp_fun_Y_2(W, F)) & exemplifies_property(F, tptp_fun_Y_2(W, F)) & ![Z: $i] : ((Z = tptp_fun_Y_2(W, F)) | (~object(Z)) | (~exemplifies_property(F, Z))) & (tptp_fun_Y_2(W, F) = W))) & ((is_the(X, F) & (X = W)) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(F, Y)) | (~((tptp_fun_Z_1(Y, F) = Y) | (~object(tptp_fun_Z_1(Y, F))) | (~exemplifies_property(F, tptp_fun_Z_1(Y, F))))) | (~(Y = W))))))),
% 0.22/0.42 inference(skolemize,[status(sab)],[66])).
% 0.22/0.42 tff(68,plain,
% 0.22/0.42 (![F: $i, X: $i, W: $i] : ((~(property(F) & object(X) & object(W))) | (((~(is_the(X, F) & (X = W))) | (object(tptp_fun_Y_2(W, F)) & exemplifies_property(F, tptp_fun_Y_2(W, F)) & ![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F))) & (tptp_fun_Y_2(W, F) = W))) & ((is_the(X, F) & (X = W)) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(F, Y)) | (~((tptp_fun_Z_1(Y, F) = Y) | (~object(tptp_fun_Z_1(Y, F))) | (~exemplifies_property(F, tptp_fun_Z_1(Y, F))))) | (~(Y = W))))))),
% 0.22/0.42 inference(modus_ponens,[status(thm)],[67, 60])).
% 0.22/0.42 tff(69,plain,
% 0.22/0.42 (![F: $i, X: $i, W: $i] : ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~is_the(X, F)) | (~(X = W)) | (~((~object(tptp_fun_Y_2(W, F))) | (~exemplifies_property(F, tptp_fun_Y_2(W, F))) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F)))) | (~(tptp_fun_Y_2(W, F) = W)))))) | (~((~((~is_the(X, F)) | (~(X = W)))) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(F, Y)) | (~((tptp_fun_Z_1(Y, F) = Y) | (~object(tptp_fun_Z_1(Y, F))) | (~exemplifies_property(F, tptp_fun_Z_1(Y, F))))) | (~(Y = W))))))))),
% 0.22/0.42 inference(modus_ponens,[status(thm)],[68, 58])).
% 0.22/0.42 tff(70,plain,
% 0.22/0.42 (![F: $i, X: $i, W: $i] : ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~is_the(X, F)) | (~(X = W)) | (~((~object(tptp_fun_Y_2(W, F))) | (~exemplifies_property(F, tptp_fun_Y_2(W, F))) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F)))) | (~(tptp_fun_Y_2(W, F) = W)))))) | (~((~((~is_the(X, F)) | (~(X = W)))) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(F, Y)) | (~((tptp_fun_Z_1(Y, F) = Y) | (~object(tptp_fun_Z_1(Y, F))) | (~exemplifies_property(F, tptp_fun_Z_1(Y, F))))) | (~(Y = W))))))))),
% 0.22/0.42 inference(modus_ponens,[status(thm)],[69, 56])).
% 0.22/0.42 tff(71,plain,
% 0.22/0.42 (![F: $i, X: $i, W: $i] : ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~((~is_the(X, F)) | (~(X = W)))) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(F, Y)) | (~((tptp_fun_Z_1(Y, F) = Y) | (~object(tptp_fun_Z_1(Y, F))) | (~exemplifies_property(F, tptp_fun_Z_1(Y, F))))) | (~(Y = W))))) | (~((~is_the(X, F)) | (~(X = W)) | (~((~object(tptp_fun_Y_2(W, F))) | (~exemplifies_property(F, tptp_fun_Y_2(W, F))) | (~(tptp_fun_Y_2(W, F) = W)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F)))))))))))),
% 0.22/0.42 inference(modus_ponens,[status(thm)],[70, 51])).
% 0.22/0.42 tff(72,plain,
% 0.22/0.42 (((~![F: $i, X: $i, W: $i] : ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~((~is_the(X, F)) | (~(X = W)))) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(F, Y)) | (~((tptp_fun_Z_1(Y, F) = Y) | (~object(tptp_fun_Z_1(Y, F))) | (~exemplifies_property(F, tptp_fun_Z_1(Y, F))))) | (~(Y = W))))) | (~((~is_the(X, F)) | (~(X = W)) | (~((~object(tptp_fun_Y_2(W, F))) | (~exemplifies_property(F, tptp_fun_Y_2(W, F))) | (~(tptp_fun_Y_2(W, F) = W)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F)))))))))))) | ((~property(none_greater)) | (~object(god)) | (~((~(is_the(god, none_greater) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(none_greater, Y)) | (~((tptp_fun_Z_1(Y, none_greater) = Y) | (~object(tptp_fun_Z_1(Y, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Z_1(Y, none_greater))))) | (~(Y = god))))) | (~((~is_the(god, none_greater)) | (~((~object(tptp_fun_Y_2(god, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Y_2(god, none_greater))) | (~(tptp_fun_Y_2(god, none_greater) = god)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = tptp_fun_Y_2(god, none_greater)))))))))))) <=> ((~![F: $i, X: $i, W: $i] : ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~((~is_the(X, F)) | (~(X = W)))) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(F, Y)) | (~((tptp_fun_Z_1(Y, F) = Y) | (~object(tptp_fun_Z_1(Y, F))) | (~exemplifies_property(F, tptp_fun_Z_1(Y, F))))) | (~(Y = W))))) | (~((~is_the(X, F)) | (~(X = W)) | (~((~object(tptp_fun_Y_2(W, F))) | (~exemplifies_property(F, tptp_fun_Y_2(W, F))) | (~(tptp_fun_Y_2(W, F) = W)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F)))))))))))) | (~property(none_greater)) | (~object(god)) | (~((~(is_the(god, none_greater) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(none_greater, Y)) | (~((tptp_fun_Z_1(Y, none_greater) = Y) | (~object(tptp_fun_Z_1(Y, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Z_1(Y, none_greater))))) | (~(Y = god))))) | (~((~is_the(god, none_greater)) | (~((~object(tptp_fun_Y_2(god, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Y_2(god, none_greater))) | (~(tptp_fun_Y_2(god, none_greater) = god)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = tptp_fun_Y_2(god, none_greater)))))))))))),
% 0.22/0.42 inference(rewrite,[status(thm)],[])).
% 0.22/0.42 tff(73,plain,
% 0.22/0.42 (((~object(god)) | (~object(god)) | (~property(none_greater)) | (~((~(is_the(god, none_greater) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(none_greater, Y)) | (~((tptp_fun_Z_1(Y, none_greater) = Y) | (~object(tptp_fun_Z_1(Y, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Z_1(Y, none_greater))))) | (~(Y = god))))) | (~((~is_the(god, none_greater)) | (~((~object(tptp_fun_Y_2(god, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Y_2(god, none_greater))) | (~(tptp_fun_Y_2(god, none_greater) = god)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = tptp_fun_Y_2(god, none_greater))))))))))) <=> ((~property(none_greater)) | (~object(god)) | (~((~(is_the(god, none_greater) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(none_greater, Y)) | (~((tptp_fun_Z_1(Y, none_greater) = Y) | (~object(tptp_fun_Z_1(Y, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Z_1(Y, none_greater))))) | (~(Y = god))))) | (~((~is_the(god, none_greater)) | (~((~object(tptp_fun_Y_2(god, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Y_2(god, none_greater))) | (~(tptp_fun_Y_2(god, none_greater) = god)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = tptp_fun_Y_2(god, none_greater)))))))))))),
% 0.22/0.42 inference(rewrite,[status(thm)],[])).
% 0.22/0.42 tff(74,plain,
% 0.22/0.42 ((~((~((~((~is_the(god, none_greater)) | (~(god = god)))) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(none_greater, Y)) | (~((tptp_fun_Z_1(Y, none_greater) = Y) | (~object(tptp_fun_Z_1(Y, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Z_1(Y, none_greater))))) | (~(Y = god))))) | (~((~is_the(god, none_greater)) | (~(god = god)) | (~((~object(tptp_fun_Y_2(god, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Y_2(god, none_greater))) | (~(tptp_fun_Y_2(god, none_greater) = god)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = tptp_fun_Y_2(god, none_greater)))))))))) <=> (~((~(is_the(god, none_greater) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(none_greater, Y)) | (~((tptp_fun_Z_1(Y, none_greater) = Y) | (~object(tptp_fun_Z_1(Y, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Z_1(Y, none_greater))))) | (~(Y = god))))) | (~((~is_the(god, none_greater)) | (~((~object(tptp_fun_Y_2(god, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Y_2(god, none_greater))) | (~(tptp_fun_Y_2(god, none_greater) = god)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = tptp_fun_Y_2(god, none_greater))))))))))),
% 0.22/0.42 inference(rewrite,[status(thm)],[])).
% 0.22/0.42 tff(75,plain,
% 0.22/0.42 (((~object(god)) | (~object(god)) | (~property(none_greater)) | (~((~((~((~is_the(god, none_greater)) | (~(god = god)))) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(none_greater, Y)) | (~((tptp_fun_Z_1(Y, none_greater) = Y) | (~object(tptp_fun_Z_1(Y, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Z_1(Y, none_greater))))) | (~(Y = god))))) | (~((~is_the(god, none_greater)) | (~(god = god)) | (~((~object(tptp_fun_Y_2(god, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Y_2(god, none_greater))) | (~(tptp_fun_Y_2(god, none_greater) = god)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = tptp_fun_Y_2(god, none_greater))))))))))) <=> ((~object(god)) | (~object(god)) | (~property(none_greater)) | (~((~(is_the(god, none_greater) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(none_greater, Y)) | (~((tptp_fun_Z_1(Y, none_greater) = Y) | (~object(tptp_fun_Z_1(Y, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Z_1(Y, none_greater))))) | (~(Y = god))))) | (~((~is_the(god, none_greater)) | (~((~object(tptp_fun_Y_2(god, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Y_2(god, none_greater))) | (~(tptp_fun_Y_2(god, none_greater) = god)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = tptp_fun_Y_2(god, none_greater)))))))))))),
% 0.22/0.42 inference(monotonicity,[status(thm)],[74])).
% 0.22/0.42 tff(76,plain,
% 0.22/0.42 (((~object(god)) | (~object(god)) | (~property(none_greater)) | (~((~((~((~is_the(god, none_greater)) | (~(god = god)))) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(none_greater, Y)) | (~((tptp_fun_Z_1(Y, none_greater) = Y) | (~object(tptp_fun_Z_1(Y, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Z_1(Y, none_greater))))) | (~(Y = god))))) | (~((~is_the(god, none_greater)) | (~(god = god)) | (~((~object(tptp_fun_Y_2(god, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Y_2(god, none_greater))) | (~(tptp_fun_Y_2(god, none_greater) = god)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = tptp_fun_Y_2(god, none_greater))))))))))) <=> ((~property(none_greater)) | (~object(god)) | (~((~(is_the(god, none_greater) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(none_greater, Y)) | (~((tptp_fun_Z_1(Y, none_greater) = Y) | (~object(tptp_fun_Z_1(Y, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Z_1(Y, none_greater))))) | (~(Y = god))))) | (~((~is_the(god, none_greater)) | (~((~object(tptp_fun_Y_2(god, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Y_2(god, none_greater))) | (~(tptp_fun_Y_2(god, none_greater) = god)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = tptp_fun_Y_2(god, none_greater)))))))))))),
% 0.22/0.43 inference(transitivity,[status(thm)],[75, 73])).
% 0.22/0.43 tff(77,plain,
% 0.22/0.43 (((~![F: $i, X: $i, W: $i] : ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~((~is_the(X, F)) | (~(X = W)))) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(F, Y)) | (~((tptp_fun_Z_1(Y, F) = Y) | (~object(tptp_fun_Z_1(Y, F))) | (~exemplifies_property(F, tptp_fun_Z_1(Y, F))))) | (~(Y = W))))) | (~((~is_the(X, F)) | (~(X = W)) | (~((~object(tptp_fun_Y_2(W, F))) | (~exemplifies_property(F, tptp_fun_Y_2(W, F))) | (~(tptp_fun_Y_2(W, F) = W)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F)))))))))))) | ((~object(god)) | (~object(god)) | (~property(none_greater)) | (~((~((~((~is_the(god, none_greater)) | (~(god = god)))) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(none_greater, Y)) | (~((tptp_fun_Z_1(Y, none_greater) = Y) | (~object(tptp_fun_Z_1(Y, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Z_1(Y, none_greater))))) | (~(Y = god))))) | (~((~is_the(god, none_greater)) | (~(god = god)) | (~((~object(tptp_fun_Y_2(god, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Y_2(god, none_greater))) | (~(tptp_fun_Y_2(god, none_greater) = god)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = tptp_fun_Y_2(god, none_greater)))))))))))) <=> ((~![F: $i, X: $i, W: $i] : ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~((~is_the(X, F)) | (~(X = W)))) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(F, Y)) | (~((tptp_fun_Z_1(Y, F) = Y) | (~object(tptp_fun_Z_1(Y, F))) | (~exemplifies_property(F, tptp_fun_Z_1(Y, F))))) | (~(Y = W))))) | (~((~is_the(X, F)) | (~(X = W)) | (~((~object(tptp_fun_Y_2(W, F))) | (~exemplifies_property(F, tptp_fun_Y_2(W, F))) | (~(tptp_fun_Y_2(W, F) = W)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F)))))))))))) | ((~property(none_greater)) | (~object(god)) | (~((~(is_the(god, none_greater) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(none_greater, Y)) | (~((tptp_fun_Z_1(Y, none_greater) = Y) | (~object(tptp_fun_Z_1(Y, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Z_1(Y, none_greater))))) | (~(Y = god))))) | (~((~is_the(god, none_greater)) | (~((~object(tptp_fun_Y_2(god, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Y_2(god, none_greater))) | (~(tptp_fun_Y_2(god, none_greater) = god)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = tptp_fun_Y_2(god, none_greater))))))))))))),
% 0.22/0.43 inference(monotonicity,[status(thm)],[76])).
% 0.22/0.43 tff(78,plain,
% 0.22/0.43 (((~![F: $i, X: $i, W: $i] : ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~((~is_the(X, F)) | (~(X = W)))) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(F, Y)) | (~((tptp_fun_Z_1(Y, F) = Y) | (~object(tptp_fun_Z_1(Y, F))) | (~exemplifies_property(F, tptp_fun_Z_1(Y, F))))) | (~(Y = W))))) | (~((~is_the(X, F)) | (~(X = W)) | (~((~object(tptp_fun_Y_2(W, F))) | (~exemplifies_property(F, tptp_fun_Y_2(W, F))) | (~(tptp_fun_Y_2(W, F) = W)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F)))))))))))) | ((~object(god)) | (~object(god)) | (~property(none_greater)) | (~((~((~((~is_the(god, none_greater)) | (~(god = god)))) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(none_greater, Y)) | (~((tptp_fun_Z_1(Y, none_greater) = Y) | (~object(tptp_fun_Z_1(Y, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Z_1(Y, none_greater))))) | (~(Y = god))))) | (~((~is_the(god, none_greater)) | (~(god = god)) | (~((~object(tptp_fun_Y_2(god, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Y_2(god, none_greater))) | (~(tptp_fun_Y_2(god, none_greater) = god)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = tptp_fun_Y_2(god, none_greater)))))))))))) <=> ((~![F: $i, X: $i, W: $i] : ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~((~is_the(X, F)) | (~(X = W)))) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(F, Y)) | (~((tptp_fun_Z_1(Y, F) = Y) | (~object(tptp_fun_Z_1(Y, F))) | (~exemplifies_property(F, tptp_fun_Z_1(Y, F))))) | (~(Y = W))))) | (~((~is_the(X, F)) | (~(X = W)) | (~((~object(tptp_fun_Y_2(W, F))) | (~exemplifies_property(F, tptp_fun_Y_2(W, F))) | (~(tptp_fun_Y_2(W, F) = W)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F)))))))))))) | (~property(none_greater)) | (~object(god)) | (~((~(is_the(god, none_greater) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(none_greater, Y)) | (~((tptp_fun_Z_1(Y, none_greater) = Y) | (~object(tptp_fun_Z_1(Y, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Z_1(Y, none_greater))))) | (~(Y = god))))) | (~((~is_the(god, none_greater)) | (~((~object(tptp_fun_Y_2(god, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Y_2(god, none_greater))) | (~(tptp_fun_Y_2(god, none_greater) = god)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = tptp_fun_Y_2(god, none_greater)))))))))))),
% 0.22/0.43 inference(transitivity,[status(thm)],[77, 72])).
% 0.22/0.43 tff(79,plain,
% 0.22/0.43 ((~![F: $i, X: $i, W: $i] : ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~((~is_the(X, F)) | (~(X = W)))) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(F, Y)) | (~((tptp_fun_Z_1(Y, F) = Y) | (~object(tptp_fun_Z_1(Y, F))) | (~exemplifies_property(F, tptp_fun_Z_1(Y, F))))) | (~(Y = W))))) | (~((~is_the(X, F)) | (~(X = W)) | (~((~object(tptp_fun_Y_2(W, F))) | (~exemplifies_property(F, tptp_fun_Y_2(W, F))) | (~(tptp_fun_Y_2(W, F) = W)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F)))))))))))) | ((~object(god)) | (~object(god)) | (~property(none_greater)) | (~((~((~((~is_the(god, none_greater)) | (~(god = god)))) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(none_greater, Y)) | (~((tptp_fun_Z_1(Y, none_greater) = Y) | (~object(tptp_fun_Z_1(Y, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Z_1(Y, none_greater))))) | (~(Y = god))))) | (~((~is_the(god, none_greater)) | (~(god = god)) | (~((~object(tptp_fun_Y_2(god, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Y_2(god, none_greater))) | (~(tptp_fun_Y_2(god, none_greater) = god)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = tptp_fun_Y_2(god, none_greater)))))))))))),
% 0.22/0.43 inference(quant_inst,[status(thm)],[])).
% 0.22/0.43 tff(80,plain,
% 0.22/0.43 ((~![F: $i, X: $i, W: $i] : ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~((~is_the(X, F)) | (~(X = W)))) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(F, Y)) | (~((tptp_fun_Z_1(Y, F) = Y) | (~object(tptp_fun_Z_1(Y, F))) | (~exemplifies_property(F, tptp_fun_Z_1(Y, F))))) | (~(Y = W))))) | (~((~is_the(X, F)) | (~(X = W)) | (~((~object(tptp_fun_Y_2(W, F))) | (~exemplifies_property(F, tptp_fun_Y_2(W, F))) | (~(tptp_fun_Y_2(W, F) = W)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(F, Z)) | (Z = tptp_fun_Y_2(W, F)))))))))))) | (~property(none_greater)) | (~object(god)) | (~((~(is_the(god, none_greater) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(none_greater, Y)) | (~((tptp_fun_Z_1(Y, none_greater) = Y) | (~object(tptp_fun_Z_1(Y, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Z_1(Y, none_greater))))) | (~(Y = god))))) | (~((~is_the(god, none_greater)) | (~((~object(tptp_fun_Y_2(god, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Y_2(god, none_greater))) | (~(tptp_fun_Y_2(god, none_greater) = god)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = tptp_fun_Y_2(god, none_greater))))))))))),
% 0.22/0.43 inference(modus_ponens,[status(thm)],[79, 78])).
% 0.22/0.43 tff(81,plain,
% 0.22/0.43 (~((~(is_the(god, none_greater) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(none_greater, Y)) | (~((tptp_fun_Z_1(Y, none_greater) = Y) | (~object(tptp_fun_Z_1(Y, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Z_1(Y, none_greater))))) | (~(Y = god))))) | (~((~is_the(god, none_greater)) | (~((~object(tptp_fun_Y_2(god, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Y_2(god, none_greater))) | (~(tptp_fun_Y_2(god, none_greater) = god)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = tptp_fun_Y_2(god, none_greater)))))))))),
% 0.22/0.43 inference(unit_resolution,[status(thm)],[80, 71, 49, 22])).
% 0.22/0.43 tff(82,plain,
% 0.22/0.43 (((~(is_the(god, none_greater) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(none_greater, Y)) | (~((tptp_fun_Z_1(Y, none_greater) = Y) | (~object(tptp_fun_Z_1(Y, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Z_1(Y, none_greater))))) | (~(Y = god))))) | (~((~is_the(god, none_greater)) | (~((~object(tptp_fun_Y_2(god, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Y_2(god, none_greater))) | (~(tptp_fun_Y_2(god, none_greater) = god)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = tptp_fun_Y_2(god, none_greater))))))))) | ((~is_the(god, none_greater)) | (~((~object(tptp_fun_Y_2(god, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Y_2(god, none_greater))) | (~(tptp_fun_Y_2(god, none_greater) = god)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = tptp_fun_Y_2(god, none_greater)))))))),
% 0.22/0.43 inference(tautology,[status(thm)],[])).
% 0.22/0.43 tff(83,plain,
% 0.22/0.43 ((~is_the(god, none_greater)) | (~((~object(tptp_fun_Y_2(god, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Y_2(god, none_greater))) | (~(tptp_fun_Y_2(god, none_greater) = god)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = tptp_fun_Y_2(god, none_greater))))))),
% 0.22/0.43 inference(unit_resolution,[status(thm)],[82, 81])).
% 0.22/0.43 tff(84,plain,
% 0.22/0.43 ((~((~is_the(god, none_greater)) | (~((~object(tptp_fun_Y_2(god, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Y_2(god, none_greater))) | (~(tptp_fun_Y_2(god, none_greater) = god)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = tptp_fun_Y_2(god, none_greater)))))))) | (~is_the(god, none_greater)) | (~((~object(tptp_fun_Y_2(god, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Y_2(god, none_greater))) | (~(tptp_fun_Y_2(god, none_greater) = god)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = tptp_fun_Y_2(god, none_greater))))))),
% 0.22/0.43 inference(tautology,[status(thm)],[])).
% 0.22/0.43 tff(85,plain,
% 0.22/0.43 ((~((~is_the(god, none_greater)) | (~((~object(tptp_fun_Y_2(god, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Y_2(god, none_greater))) | (~(tptp_fun_Y_2(god, none_greater) = god)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = tptp_fun_Y_2(god, none_greater)))))))) | (~((~object(tptp_fun_Y_2(god, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Y_2(god, none_greater))) | (~(tptp_fun_Y_2(god, none_greater) = god)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = tptp_fun_Y_2(god, none_greater))))))),
% 0.22/0.43 inference(unit_resolution,[status(thm)],[84, 3])).
% 0.22/0.43 tff(86,plain,
% 0.22/0.43 (~((~object(tptp_fun_Y_2(god, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Y_2(god, none_greater))) | (~(tptp_fun_Y_2(god, none_greater) = god)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = tptp_fun_Y_2(god, none_greater)))))),
% 0.22/0.43 inference(unit_resolution,[status(thm)],[85, 83])).
% 0.22/0.43 tff(87,plain,
% 0.22/0.43 (((~object(tptp_fun_Y_2(god, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Y_2(god, none_greater))) | (~(tptp_fun_Y_2(god, none_greater) = god)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = tptp_fun_Y_2(god, none_greater))))) | (tptp_fun_Y_2(god, none_greater) = god)),
% 0.22/0.44 inference(tautology,[status(thm)],[])).
% 0.22/0.44 tff(88,plain,
% 0.22/0.44 (tptp_fun_Y_2(god, none_greater) = god),
% 0.22/0.44 inference(unit_resolution,[status(thm)],[87, 86])).
% 0.22/0.44 tff(89,plain,
% 0.22/0.44 (((~object(tptp_fun_Y_2(god, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Y_2(god, none_greater))) | (~(tptp_fun_Y_2(god, none_greater) = god)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = tptp_fun_Y_2(god, none_greater))))) | ![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = tptp_fun_Y_2(god, none_greater)))),
% 0.22/0.44 inference(tautology,[status(thm)],[])).
% 0.22/0.44 tff(90,plain,
% 0.22/0.44 (![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = tptp_fun_Y_2(god, none_greater)))),
% 0.22/0.44 inference(unit_resolution,[status(thm)],[89, 86])).
% 0.22/0.44 tff(91,plain,
% 0.22/0.44 (object(X!4)),
% 0.22/0.44 inference(and_elim,[status(thm)],[26])).
% 0.22/0.44 tff(92,plain,
% 0.22/0.44 (((~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = tptp_fun_Y_2(god, none_greater)))) | ((~object(X!4)) | (~exemplifies_property(none_greater, X!4)) | (X!4 = tptp_fun_Y_2(god, none_greater)))) <=> ((~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = tptp_fun_Y_2(god, none_greater)))) | (~object(X!4)) | (~exemplifies_property(none_greater, X!4)) | (X!4 = tptp_fun_Y_2(god, none_greater)))),
% 0.22/0.44 inference(rewrite,[status(thm)],[])).
% 0.22/0.44 tff(93,plain,
% 0.22/0.44 ((~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = tptp_fun_Y_2(god, none_greater)))) | ((~object(X!4)) | (~exemplifies_property(none_greater, X!4)) | (X!4 = tptp_fun_Y_2(god, none_greater)))),
% 0.22/0.44 inference(quant_inst,[status(thm)],[])).
% 0.22/0.44 tff(94,plain,
% 0.22/0.44 ((~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = tptp_fun_Y_2(god, none_greater)))) | (~object(X!4)) | (~exemplifies_property(none_greater, X!4)) | (X!4 = tptp_fun_Y_2(god, none_greater))),
% 0.22/0.44 inference(modus_ponens,[status(thm)],[93, 92])).
% 0.22/0.44 tff(95,plain,
% 0.22/0.44 (X!4 = tptp_fun_Y_2(god, none_greater)),
% 0.22/0.44 inference(unit_resolution,[status(thm)],[94, 91, 27, 90])).
% 0.22/0.44 tff(96,plain,
% 0.22/0.44 (X!4 = god),
% 0.22/0.44 inference(transitivity,[status(thm)],[95, 88])).
% 0.22/0.44 tff(97,plain,
% 0.22/0.44 (exemplifies_relation(greater_than, tptp_fun_Y_3(god), X!4) <=> exemplifies_relation(greater_than, tptp_fun_Y_3(god), god)),
% 0.22/0.44 inference(monotonicity,[status(thm)],[96])).
% 0.22/0.44 tff(98,plain,
% 0.22/0.44 (exemplifies_relation(greater_than, tptp_fun_Y_3(god), god) <=> exemplifies_relation(greater_than, tptp_fun_Y_3(god), X!4)),
% 0.22/0.44 inference(symmetry,[status(thm)],[97])).
% 0.22/0.44 tff(99,plain,
% 0.22/0.44 ((~exemplifies_property(existence, god)) <=> (~exemplifies_property(existence, god))),
% 0.22/0.44 inference(rewrite,[status(thm)],[])).
% 0.22/0.44 tff(100,axiom,(~exemplifies_property(existence, god)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','god_exists')).
% 0.22/0.44 tff(101,plain,
% 0.22/0.44 (~exemplifies_property(existence, god)),
% 0.22/0.44 inference(modus_ponens,[status(thm)],[100, 99])).
% 0.22/0.44 tff(102,plain,
% 0.22/0.44 (^[X: $i] : refl((exemplifies_property(existence, X) | (~object(X)) | (~((~object(tptp_fun_Y_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X))))) | (~is_the(X, none_greater))) <=> (exemplifies_property(existence, X) | (~object(X)) | (~((~object(tptp_fun_Y_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X))))) | (~is_the(X, none_greater))))),
% 0.22/0.44 inference(bind,[status(th)],[])).
% 0.22/0.44 tff(103,plain,
% 0.22/0.44 (![X: $i] : (exemplifies_property(existence, X) | (~object(X)) | (~((~object(tptp_fun_Y_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X))))) | (~is_the(X, none_greater))) <=> ![X: $i] : (exemplifies_property(existence, X) | (~object(X)) | (~((~object(tptp_fun_Y_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X))))) | (~is_the(X, none_greater)))),
% 0.22/0.44 inference(quant_intro,[status(thm)],[102])).
% 0.22/0.44 tff(104,plain,
% 0.22/0.44 (^[X: $i] : trans(monotonicity(trans(monotonicity(rewrite((is_the(X, none_greater) & (~exemplifies_property(existence, X))) <=> (~((~is_the(X, none_greater)) | exemplifies_property(existence, X)))), ((~(is_the(X, none_greater) & (~exemplifies_property(existence, X)))) <=> (~(~((~is_the(X, none_greater)) | exemplifies_property(existence, X)))))), rewrite((~(~((~is_the(X, none_greater)) | exemplifies_property(existence, X)))) <=> ((~is_the(X, none_greater)) | exemplifies_property(existence, X))), ((~(is_the(X, none_greater) & (~exemplifies_property(existence, X)))) <=> ((~is_the(X, none_greater)) | exemplifies_property(existence, X)))), rewrite((object(tptp_fun_Y_3(X)) & exemplifies_relation(greater_than, tptp_fun_Y_3(X), X) & exemplifies_property(conceivable, tptp_fun_Y_3(X))) <=> (~((~object(tptp_fun_Y_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X)))))), (((~object(X)) | (~(is_the(X, none_greater) & (~exemplifies_property(existence, X)))) | (object(tptp_fun_Y_3(X)) & exemplifies_relation(greater_than, tptp_fun_Y_3(X), X) & exemplifies_property(conceivable, tptp_fun_Y_3(X)))) <=> ((~object(X)) | ((~is_the(X, none_greater)) | exemplifies_property(existence, X)) | (~((~object(tptp_fun_Y_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X)))))))), rewrite(((~object(X)) | ((~is_the(X, none_greater)) | exemplifies_property(existence, X)) | (~((~object(tptp_fun_Y_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X)))))) <=> (exemplifies_property(existence, X) | (~object(X)) | (~((~object(tptp_fun_Y_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X))))) | (~is_the(X, none_greater)))), (((~object(X)) | (~(is_the(X, none_greater) & (~exemplifies_property(existence, X)))) | (object(tptp_fun_Y_3(X)) & exemplifies_relation(greater_than, tptp_fun_Y_3(X), X) & exemplifies_property(conceivable, tptp_fun_Y_3(X)))) <=> (exemplifies_property(existence, X) | (~object(X)) | (~((~object(tptp_fun_Y_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X))))) | (~is_the(X, none_greater)))))),
% 0.22/0.44 inference(bind,[status(th)],[])).
% 0.22/0.44 tff(105,plain,
% 0.22/0.44 (![X: $i] : ((~object(X)) | (~(is_the(X, none_greater) & (~exemplifies_property(existence, X)))) | (object(tptp_fun_Y_3(X)) & exemplifies_relation(greater_than, tptp_fun_Y_3(X), X) & exemplifies_property(conceivable, tptp_fun_Y_3(X)))) <=> ![X: $i] : (exemplifies_property(existence, X) | (~object(X)) | (~((~object(tptp_fun_Y_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X))))) | (~is_the(X, none_greater)))),
% 0.22/0.44 inference(quant_intro,[status(thm)],[104])).
% 0.22/0.44 tff(106,plain,
% 0.22/0.44 (^[X: $i] : rewrite(((~object(X)) | (object(tptp_fun_Y_3(X)) & exemplifies_relation(greater_than, tptp_fun_Y_3(X), X) & exemplifies_property(conceivable, tptp_fun_Y_3(X))) | (~(is_the(X, none_greater) & (~exemplifies_property(existence, X))))) <=> ((~object(X)) | (~(is_the(X, none_greater) & (~exemplifies_property(existence, X)))) | (object(tptp_fun_Y_3(X)) & exemplifies_relation(greater_than, tptp_fun_Y_3(X), X) & exemplifies_property(conceivable, tptp_fun_Y_3(X)))))),
% 0.22/0.44 inference(bind,[status(th)],[])).
% 0.22/0.44 tff(107,plain,
% 0.22/0.44 (![X: $i] : ((~object(X)) | (object(tptp_fun_Y_3(X)) & exemplifies_relation(greater_than, tptp_fun_Y_3(X), X) & exemplifies_property(conceivable, tptp_fun_Y_3(X))) | (~(is_the(X, none_greater) & (~exemplifies_property(existence, X))))) <=> ![X: $i] : ((~object(X)) | (~(is_the(X, none_greater) & (~exemplifies_property(existence, X)))) | (object(tptp_fun_Y_3(X)) & exemplifies_relation(greater_than, tptp_fun_Y_3(X), X) & exemplifies_property(conceivable, tptp_fun_Y_3(X))))),
% 0.22/0.44 inference(quant_intro,[status(thm)],[106])).
% 0.22/0.44 tff(108,plain,
% 0.22/0.44 (![X: $i] : ((~object(X)) | ?[Y: $i] : (object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y)) | (~(is_the(X, none_greater) & (~exemplifies_property(existence, X))))) <=> ![X: $i] : ((~object(X)) | ?[Y: $i] : (object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y)) | (~(is_the(X, none_greater) & (~exemplifies_property(existence, X)))))),
% 0.22/0.44 inference(rewrite,[status(thm)],[])).
% 0.22/0.44 tff(109,plain,
% 0.22/0.44 (^[X: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : rewrite(((object(Y) & exemplifies_relation(greater_than, Y, X)) & exemplifies_property(conceivable, Y)) <=> (object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y)))), (?[Y: $i] : ((object(Y) & exemplifies_relation(greater_than, Y, X)) & exemplifies_property(conceivable, Y)) <=> ?[Y: $i] : (object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y)))), (((is_the(X, none_greater) & (~exemplifies_property(existence, X))) => ?[Y: $i] : ((object(Y) & exemplifies_relation(greater_than, Y, X)) & exemplifies_property(conceivable, Y))) <=> ((is_the(X, none_greater) & (~exemplifies_property(existence, X))) => ?[Y: $i] : (object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y))))), rewrite(((is_the(X, none_greater) & (~exemplifies_property(existence, X))) => ?[Y: $i] : (object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y))) <=> ((~(is_the(X, none_greater) & (~exemplifies_property(existence, X)))) | ?[Y: $i] : (object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y)))), (((is_the(X, none_greater) & (~exemplifies_property(existence, X))) => ?[Y: $i] : ((object(Y) & exemplifies_relation(greater_than, Y, X)) & exemplifies_property(conceivable, Y))) <=> ((~(is_the(X, none_greater) & (~exemplifies_property(existence, X)))) | ?[Y: $i] : (object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y))))), ((object(X) => ((is_the(X, none_greater) & (~exemplifies_property(existence, X))) => ?[Y: $i] : ((object(Y) & exemplifies_relation(greater_than, Y, X)) & exemplifies_property(conceivable, Y)))) <=> (object(X) => ((~(is_the(X, none_greater) & (~exemplifies_property(existence, X)))) | ?[Y: $i] : (object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y)))))), rewrite((object(X) => ((~(is_the(X, none_greater) & (~exemplifies_property(existence, X)))) | ?[Y: $i] : (object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y)))) <=> ((~object(X)) | ?[Y: $i] : (object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y)) | (~(is_the(X, none_greater) & (~exemplifies_property(existence, X)))))), ((object(X) => ((is_the(X, none_greater) & (~exemplifies_property(existence, X))) => ?[Y: $i] : ((object(Y) & exemplifies_relation(greater_than, Y, X)) & exemplifies_property(conceivable, Y)))) <=> ((~object(X)) | ?[Y: $i] : (object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y)) | (~(is_the(X, none_greater) & (~exemplifies_property(existence, X)))))))),
% 0.22/0.44 inference(bind,[status(th)],[])).
% 0.22/0.44 tff(110,plain,
% 0.22/0.44 (![X: $i] : (object(X) => ((is_the(X, none_greater) & (~exemplifies_property(existence, X))) => ?[Y: $i] : ((object(Y) & exemplifies_relation(greater_than, Y, X)) & exemplifies_property(conceivable, Y)))) <=> ![X: $i] : ((~object(X)) | ?[Y: $i] : (object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y)) | (~(is_the(X, none_greater) & (~exemplifies_property(existence, X)))))),
% 0.22/0.44 inference(quant_intro,[status(thm)],[109])).
% 0.22/0.44 tff(111,axiom,(![X: $i] : (object(X) => ((is_the(X, none_greater) & (~exemplifies_property(existence, X))) => ?[Y: $i] : ((object(Y) & exemplifies_relation(greater_than, Y, X)) & exemplifies_property(conceivable, Y))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','premise_2')).
% 0.22/0.44 tff(112,plain,
% 0.22/0.44 (![X: $i] : ((~object(X)) | ?[Y: $i] : (object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y)) | (~(is_the(X, none_greater) & (~exemplifies_property(existence, X)))))),
% 0.22/0.44 inference(modus_ponens,[status(thm)],[111, 110])).
% 0.22/0.44 tff(113,plain,
% 0.22/0.44 (![X: $i] : ((~object(X)) | ?[Y: $i] : (object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y)) | (~(is_the(X, none_greater) & (~exemplifies_property(existence, X)))))),
% 0.22/0.44 inference(modus_ponens,[status(thm)],[112, 108])).
% 0.22/0.44 tff(114,plain,(
% 0.22/0.44 ![X: $i] : ((~object(X)) | (object(tptp_fun_Y_3(X)) & exemplifies_relation(greater_than, tptp_fun_Y_3(X), X) & exemplifies_property(conceivable, tptp_fun_Y_3(X))) | (~(is_the(X, none_greater) & (~exemplifies_property(existence, X)))))),
% 0.22/0.44 inference(skolemize,[status(sab)],[113])).
% 0.22/0.44 tff(115,plain,
% 0.22/0.44 (![X: $i] : ((~object(X)) | (~(is_the(X, none_greater) & (~exemplifies_property(existence, X)))) | (object(tptp_fun_Y_3(X)) & exemplifies_relation(greater_than, tptp_fun_Y_3(X), X) & exemplifies_property(conceivable, tptp_fun_Y_3(X))))),
% 0.22/0.44 inference(modus_ponens,[status(thm)],[114, 107])).
% 0.22/0.44 tff(116,plain,
% 0.22/0.44 (![X: $i] : (exemplifies_property(existence, X) | (~object(X)) | (~((~object(tptp_fun_Y_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X))))) | (~is_the(X, none_greater)))),
% 0.22/0.44 inference(modus_ponens,[status(thm)],[115, 105])).
% 0.22/0.44 tff(117,plain,
% 0.22/0.44 (![X: $i] : (exemplifies_property(existence, X) | (~object(X)) | (~((~object(tptp_fun_Y_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X))))) | (~is_the(X, none_greater)))),
% 0.22/0.44 inference(modus_ponens,[status(thm)],[116, 103])).
% 0.22/0.44 tff(118,plain,
% 0.22/0.44 (((~![X: $i] : (exemplifies_property(existence, X) | (~object(X)) | (~((~object(tptp_fun_Y_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X))))) | (~is_the(X, none_greater)))) | (exemplifies_property(existence, god) | (~object(god)) | (~((~object(tptp_fun_Y_3(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(god), god)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(god))))) | (~is_the(god, none_greater)))) <=> ((~![X: $i] : (exemplifies_property(existence, X) | (~object(X)) | (~((~object(tptp_fun_Y_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X))))) | (~is_the(X, none_greater)))) | exemplifies_property(existence, god) | (~object(god)) | (~((~object(tptp_fun_Y_3(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(god), god)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(god))))) | (~is_the(god, none_greater)))),
% 0.22/0.44 inference(rewrite,[status(thm)],[])).
% 0.22/0.44 tff(119,plain,
% 0.22/0.44 ((~![X: $i] : (exemplifies_property(existence, X) | (~object(X)) | (~((~object(tptp_fun_Y_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X))))) | (~is_the(X, none_greater)))) | (exemplifies_property(existence, god) | (~object(god)) | (~((~object(tptp_fun_Y_3(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(god), god)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(god))))) | (~is_the(god, none_greater)))),
% 0.22/0.44 inference(quant_inst,[status(thm)],[])).
% 0.22/0.44 tff(120,plain,
% 0.22/0.44 ((~![X: $i] : (exemplifies_property(existence, X) | (~object(X)) | (~((~object(tptp_fun_Y_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X))))) | (~is_the(X, none_greater)))) | exemplifies_property(existence, god) | (~object(god)) | (~((~object(tptp_fun_Y_3(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(god), god)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(god))))) | (~is_the(god, none_greater))),
% 0.22/0.44 inference(modus_ponens,[status(thm)],[119, 118])).
% 0.22/0.44 tff(121,plain,
% 0.22/0.44 ((~object(god)) | (~((~object(tptp_fun_Y_3(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(god), god)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(god)))))),
% 0.22/0.44 inference(unit_resolution,[status(thm)],[120, 117, 3, 101])).
% 0.22/0.44 tff(122,plain,
% 0.22/0.44 (~((~object(tptp_fun_Y_3(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(god), god)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(god))))),
% 0.22/0.44 inference(unit_resolution,[status(thm)],[121, 22])).
% 0.22/0.44 tff(123,plain,
% 0.22/0.44 (((~object(tptp_fun_Y_3(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(god), god)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(god)))) | exemplifies_relation(greater_than, tptp_fun_Y_3(god), god)),
% 0.22/0.44 inference(tautology,[status(thm)],[])).
% 0.22/0.44 tff(124,plain,
% 0.22/0.44 (exemplifies_relation(greater_than, tptp_fun_Y_3(god), god)),
% 0.22/0.44 inference(unit_resolution,[status(thm)],[123, 122])).
% 0.22/0.44 tff(125,plain,
% 0.22/0.44 (exemplifies_relation(greater_than, tptp_fun_Y_3(god), X!4)),
% 0.22/0.44 inference(modus_ponens,[status(thm)],[124, 98])).
% 0.22/0.44 tff(126,plain,
% 0.22/0.44 (((~object(tptp_fun_Y_3(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(god), god)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(god)))) | exemplifies_property(conceivable, tptp_fun_Y_3(god))),
% 0.22/0.44 inference(tautology,[status(thm)],[])).
% 0.22/0.44 tff(127,plain,
% 0.22/0.44 (exemplifies_property(conceivable, tptp_fun_Y_3(god))),
% 0.22/0.44 inference(unit_resolution,[status(thm)],[126, 122])).
% 0.22/0.44 tff(128,plain,
% 0.22/0.44 (((~object(tptp_fun_Y_3(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(god), god)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(god)))) | object(tptp_fun_Y_3(god))),
% 0.22/0.44 inference(tautology,[status(thm)],[])).
% 0.22/0.44 tff(129,plain,
% 0.22/0.44 (object(tptp_fun_Y_3(god))),
% 0.22/0.44 inference(unit_resolution,[status(thm)],[128, 122])).
% 0.22/0.44 tff(130,plain,
% 0.22/0.44 (^[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_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X)))))))))) <=> ((~object(X)) | (~((~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X))))))) | (~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X))))))))))))),
% 0.22/0.44 inference(bind,[status(th)],[])).
% 0.22/0.44 tff(131,plain,
% 0.22/0.44 (![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_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X)))))))))) <=> ![X: $i] : ((~object(X)) | (~((~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X))))))) | (~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))))))),
% 0.22/0.44 inference(quant_intro,[status(thm)],[130])).
% 0.22/0.44 tff(132,plain,
% 0.22/0.44 (^[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_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(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_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X)))))))))))),
% 0.22/0.45 inference(bind,[status(th)],[])).
% 0.22/0.45 tff(133,plain,
% 0.22/0.45 (![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_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(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_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X))))))))))),
% 0.22/0.45 inference(quant_intro,[status(thm)],[132])).
% 0.22/0.45 tff(134,plain,
% 0.22/0.45 (^[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_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(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_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X)))))))))))),
% 0.22/0.45 inference(bind,[status(th)],[])).
% 0.22/0.45 tff(135,plain,
% 0.22/0.45 (![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_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(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_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X))))))))))),
% 0.22/0.45 inference(quant_intro,[status(thm)],[134])).
% 0.22/0.45 tff(136,plain,
% 0.22/0.45 (![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_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(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_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X))))))))))),
% 0.22/0.45 inference(transitivity,[status(thm)],[135, 133])).
% 0.22/0.45 tff(137,plain,
% 0.22/0.45 (^[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_3(X)) & exemplifies_relation(greater_than, tptp_fun_Y_3(X), X) & exemplifies_property(conceivable, tptp_fun_Y_3(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_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X)))))))))))),
% 0.22/0.45 inference(bind,[status(th)],[])).
% 0.22/0.45 tff(138,plain,
% 0.22/0.45 (![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_3(X)) & exemplifies_relation(greater_than, tptp_fun_Y_3(X), X) & exemplifies_property(conceivable, tptp_fun_Y_3(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_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X))))))))))),
% 0.22/0.45 inference(quant_intro,[status(thm)],[137])).
% 0.22/0.45 tff(139,plain,
% 0.22/0.45 (^[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_3(X)) & exemplifies_relation(greater_than, tptp_fun_Y_3(X), X) & exemplifies_property(conceivable, tptp_fun_Y_3(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_3(X)) & exemplifies_relation(greater_than, tptp_fun_Y_3(X), X) & exemplifies_property(conceivable, tptp_fun_Y_3(X)))))))),
% 0.22/0.45 inference(bind,[status(th)],[])).
% 0.22/0.45 tff(140,plain,
% 0.22/0.45 (![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_3(X)) & exemplifies_relation(greater_than, tptp_fun_Y_3(X), X) & exemplifies_property(conceivable, tptp_fun_Y_3(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_3(X)) & exemplifies_relation(greater_than, tptp_fun_Y_3(X), X) & exemplifies_property(conceivable, tptp_fun_Y_3(X))))))),
% 0.22/0.45 inference(quant_intro,[status(thm)],[139])).
% 0.22/0.45 tff(141,plain,
% 0.22/0.45 (![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))))))),
% 0.22/0.45 inference(rewrite,[status(thm)],[])).
% 0.22/0.45 tff(142,plain,
% 0.22/0.45 (^[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))))))))),
% 0.22/0.45 inference(bind,[status(th)],[])).
% 0.22/0.45 tff(143,plain,
% 0.22/0.45 (![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))))))),
% 0.22/0.45 inference(quant_intro,[status(thm)],[142])).
% 0.22/0.45 tff(144,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')).
% 0.22/0.45 tff(145,plain,
% 0.22/0.45 (![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))))))),
% 0.22/0.45 inference(modus_ponens,[status(thm)],[144, 143])).
% 0.22/0.45 tff(146,plain,
% 0.22/0.45 (![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))))))),
% 0.22/0.45 inference(modus_ponens,[status(thm)],[145, 141])).
% 0.22/0.45 tff(147,plain,(
% 0.22/0.45 ![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_3(X)) & exemplifies_relation(greater_than, tptp_fun_Y_3(X), X) & exemplifies_property(conceivable, tptp_fun_Y_3(X)))))))),
% 0.22/0.45 inference(skolemize,[status(sab)],[146])).
% 0.22/0.45 tff(148,plain,
% 0.22/0.45 (![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_3(X)) & exemplifies_relation(greater_than, tptp_fun_Y_3(X), X) & exemplifies_property(conceivable, tptp_fun_Y_3(X))))))),
% 0.22/0.45 inference(modus_ponens,[status(thm)],[147, 140])).
% 0.22/0.45 tff(149,plain,
% 0.22/0.45 (![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_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X))))))))))),
% 0.22/0.45 inference(modus_ponens,[status(thm)],[148, 138])).
% 0.22/0.45 tff(150,plain,
% 0.22/0.45 (![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_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X))))))))))),
% 0.22/0.45 inference(modus_ponens,[status(thm)],[149, 136])).
% 0.22/0.45 tff(151,plain,
% 0.22/0.45 (![X: $i] : ((~object(X)) | (~((~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X))))))) | (~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))))))),
% 0.22/0.45 inference(modus_ponens,[status(thm)],[150, 131])).
% 0.22/0.45 tff(152,plain,
% 0.22/0.45 (((~![X: $i] : ((~object(X)) | (~((~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(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!4)) | (~((~(exemplifies_property(none_greater, X!4) | (~((~object(tptp_fun_Y_3(X!4))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X!4), X!4)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X!4))))) | (~exemplifies_property(conceivable, X!4)))) | (~((~exemplifies_property(none_greater, X!4)) | (~((~exemplifies_property(conceivable, X!4)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X!4)))))))))))) <=> ((~![X: $i] : ((~object(X)) | (~((~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(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!4)) | (~((~(exemplifies_property(none_greater, X!4) | (~((~object(tptp_fun_Y_3(X!4))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X!4), X!4)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X!4))))) | (~exemplifies_property(conceivable, X!4)))) | (~((~exemplifies_property(none_greater, X!4)) | (~((~exemplifies_property(conceivable, X!4)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X!4)))))))))))),
% 0.22/0.46 inference(rewrite,[status(thm)],[])).
% 0.22/0.46 tff(153,plain,
% 0.22/0.46 (((~object(X!4)) | (~((~(exemplifies_property(none_greater, X!4) | (~exemplifies_property(conceivable, X!4)) | (~((~object(tptp_fun_Y_3(X!4))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X!4), X!4)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X!4))))))) | (~((~exemplifies_property(none_greater, X!4)) | (~((~exemplifies_property(conceivable, X!4)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X!4))))))))))) <=> ((~object(X!4)) | (~((~(exemplifies_property(none_greater, X!4) | (~((~object(tptp_fun_Y_3(X!4))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X!4), X!4)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X!4))))) | (~exemplifies_property(conceivable, X!4)))) | (~((~exemplifies_property(none_greater, X!4)) | (~((~exemplifies_property(conceivable, X!4)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X!4)))))))))))),
% 0.22/0.46 inference(rewrite,[status(thm)],[])).
% 0.22/0.46 tff(154,plain,
% 0.22/0.46 (((~![X: $i] : ((~object(X)) | (~((~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(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!4)) | (~((~(exemplifies_property(none_greater, X!4) | (~exemplifies_property(conceivable, X!4)) | (~((~object(tptp_fun_Y_3(X!4))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X!4), X!4)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X!4))))))) | (~((~exemplifies_property(none_greater, X!4)) | (~((~exemplifies_property(conceivable, X!4)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X!4)))))))))))) <=> ((~![X: $i] : ((~object(X)) | (~((~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(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!4)) | (~((~(exemplifies_property(none_greater, X!4) | (~((~object(tptp_fun_Y_3(X!4))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X!4), X!4)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X!4))))) | (~exemplifies_property(conceivable, X!4)))) | (~((~exemplifies_property(none_greater, X!4)) | (~((~exemplifies_property(conceivable, X!4)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X!4))))))))))))),
% 0.22/0.46 inference(monotonicity,[status(thm)],[153])).
% 0.22/0.46 tff(155,plain,
% 0.22/0.46 (((~![X: $i] : ((~object(X)) | (~((~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(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!4)) | (~((~(exemplifies_property(none_greater, X!4) | (~exemplifies_property(conceivable, X!4)) | (~((~object(tptp_fun_Y_3(X!4))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X!4), X!4)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X!4))))))) | (~((~exemplifies_property(none_greater, X!4)) | (~((~exemplifies_property(conceivable, X!4)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X!4)))))))))))) <=> ((~![X: $i] : ((~object(X)) | (~((~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(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!4)) | (~((~(exemplifies_property(none_greater, X!4) | (~((~object(tptp_fun_Y_3(X!4))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X!4), X!4)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X!4))))) | (~exemplifies_property(conceivable, X!4)))) | (~((~exemplifies_property(none_greater, X!4)) | (~((~exemplifies_property(conceivable, X!4)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X!4)))))))))))),
% 0.22/0.46 inference(transitivity,[status(thm)],[154, 152])).
% 0.22/0.46 tff(156,plain,
% 0.22/0.46 ((~![X: $i] : ((~object(X)) | (~((~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(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!4)) | (~((~(exemplifies_property(none_greater, X!4) | (~exemplifies_property(conceivable, X!4)) | (~((~object(tptp_fun_Y_3(X!4))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X!4), X!4)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X!4))))))) | (~((~exemplifies_property(none_greater, X!4)) | (~((~exemplifies_property(conceivable, X!4)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X!4)))))))))))),
% 0.22/0.46 inference(quant_inst,[status(thm)],[])).
% 0.22/0.46 tff(157,plain,
% 0.22/0.46 ((~![X: $i] : ((~object(X)) | (~((~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(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!4)) | (~((~(exemplifies_property(none_greater, X!4) | (~((~object(tptp_fun_Y_3(X!4))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X!4), X!4)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X!4))))) | (~exemplifies_property(conceivable, X!4)))) | (~((~exemplifies_property(none_greater, X!4)) | (~((~exemplifies_property(conceivable, X!4)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X!4))))))))))),
% 0.22/0.46 inference(modus_ponens,[status(thm)],[156, 155])).
% 0.22/0.46 tff(158,plain,
% 0.22/0.46 (~((~(exemplifies_property(none_greater, X!4) | (~((~object(tptp_fun_Y_3(X!4))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X!4), X!4)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X!4))))) | (~exemplifies_property(conceivable, X!4)))) | (~((~exemplifies_property(none_greater, X!4)) | (~((~exemplifies_property(conceivable, X!4)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X!4)))))))))),
% 0.22/0.46 inference(unit_resolution,[status(thm)],[157, 151, 91])).
% 0.22/0.46 tff(159,plain,
% 0.22/0.46 (((~(exemplifies_property(none_greater, X!4) | (~((~object(tptp_fun_Y_3(X!4))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X!4), X!4)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X!4))))) | (~exemplifies_property(conceivable, X!4)))) | (~((~exemplifies_property(none_greater, X!4)) | (~((~exemplifies_property(conceivable, X!4)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X!4))))))))) | ((~exemplifies_property(none_greater, X!4)) | (~((~exemplifies_property(conceivable, X!4)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X!4)))))))),
% 0.22/0.46 inference(tautology,[status(thm)],[])).
% 0.22/0.46 tff(160,plain,
% 0.22/0.46 ((~exemplifies_property(none_greater, X!4)) | (~((~exemplifies_property(conceivable, X!4)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X!4))))))),
% 0.22/0.46 inference(unit_resolution,[status(thm)],[159, 158])).
% 0.22/0.46 tff(161,plain,
% 0.22/0.46 ((~((~exemplifies_property(none_greater, X!4)) | (~((~exemplifies_property(conceivable, X!4)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X!4)))))))) | (~exemplifies_property(none_greater, X!4)) | (~((~exemplifies_property(conceivable, X!4)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X!4))))))),
% 0.22/0.46 inference(tautology,[status(thm)],[])).
% 0.22/0.46 tff(162,plain,
% 0.22/0.46 ((~((~exemplifies_property(none_greater, X!4)) | (~((~exemplifies_property(conceivable, X!4)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X!4)))))))) | (~((~exemplifies_property(conceivable, X!4)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X!4))))))),
% 0.22/0.46 inference(unit_resolution,[status(thm)],[161, 27])).
% 0.22/0.46 tff(163,plain,
% 0.22/0.46 (~((~exemplifies_property(conceivable, X!4)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X!4)))))),
% 0.22/0.46 inference(unit_resolution,[status(thm)],[162, 160])).
% 0.22/0.46 tff(164,plain,
% 0.22/0.46 (((~exemplifies_property(conceivable, X!4)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X!4))))) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X!4)))),
% 0.22/0.46 inference(tautology,[status(thm)],[])).
% 0.22/0.46 tff(165,plain,
% 0.22/0.46 (![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X!4)))),
% 0.22/0.46 inference(unit_resolution,[status(thm)],[164, 163])).
% 0.22/0.46 tff(166,plain,
% 0.22/0.46 (((~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X!4)))) | ((~object(tptp_fun_Y_3(god))) | (~exemplifies_property(conceivable, tptp_fun_Y_3(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(god), X!4)))) <=> ((~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X!4)))) | (~object(tptp_fun_Y_3(god))) | (~exemplifies_property(conceivable, tptp_fun_Y_3(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(god), X!4)))),
% 0.22/0.46 inference(rewrite,[status(thm)],[])).
% 0.22/0.46 tff(167,plain,
% 0.22/0.46 ((~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X!4)))) | ((~object(tptp_fun_Y_3(god))) | (~exemplifies_property(conceivable, tptp_fun_Y_3(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(god), X!4)))),
% 0.22/0.46 inference(quant_inst,[status(thm)],[])).
% 0.22/0.46 tff(168,plain,
% 0.22/0.46 ((~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X!4)))) | (~object(tptp_fun_Y_3(god))) | (~exemplifies_property(conceivable, tptp_fun_Y_3(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(god), X!4))),
% 0.22/0.46 inference(modus_ponens,[status(thm)],[167, 166])).
% 0.22/0.46 tff(169,plain,
% 0.22/0.46 (~exemplifies_relation(greater_than, tptp_fun_Y_3(god), X!4)),
% 0.22/0.46 inference(unit_resolution,[status(thm)],[168, 165, 129, 127])).
% 0.22/0.46 tff(170,plain,
% 0.22/0.46 ($false),
% 0.22/0.46 inference(unit_resolution,[status(thm)],[169, 125])).
% 0.22/0.46 % SZS output end Proof
%------------------------------------------------------------------------------