%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : PHI015+1 : TPTP v9.0.0. Released v7.2.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n007.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 : Sat Jun 21 05:22:45 AM UTC 2025
% Result : Theorem 0.12s 0.36s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PHI015+1 : TPTP v9.0.0. Released v7.2.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.12/0.32 % Computer : n007.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Fri Jun 20 02:19:35 EDT 2025
% 0.12/0.32 % CPUTime :
% 0.12/0.36 % SZS status Theorem
% 0.12/0.36 % SZS output start Proof
% 0.12/0.36 tff(exemplifies_relation_type, type, (
% 0.12/0.36 exemplifies_relation: ( $i * $i * $i ) > $o)).
% 0.12/0.36 tff(god_type, type, (
% 0.12/0.36 god: $i)).
% 0.12/0.36 tff(greater_than_type, type, (
% 0.12/0.36 greater_than: $i)).
% 0.12/0.36 tff(exemplifies_property_type, type, (
% 0.12/0.36 exemplifies_property: ( $i * $i ) > $o)).
% 0.12/0.36 tff(conceivable_type, type, (
% 0.12/0.36 conceivable: $i)).
% 0.12/0.36 tff(object_type, type, (
% 0.12/0.36 object: $i > $o)).
% 0.12/0.36 tff(none_greater_type, type, (
% 0.12/0.36 none_greater: $i)).
% 0.12/0.36 tff(is_the_type, type, (
% 0.12/0.36 is_the: ( $i * $i ) > $o)).
% 0.12/0.36 tff(tptp_fun_Z_2_type, type, (
% 0.12/0.36 tptp_fun_Z_2: ( $i * $i ) > $i)).
% 0.12/0.36 tff(property_type, type, (
% 0.12/0.36 property: $i > $o)).
% 0.12/0.36 tff(tptp_fun_X_4_type, type, (
% 0.12/0.36 tptp_fun_X_4: $i)).
% 0.12/0.36 tff(tptp_fun_Y_3_type, type, (
% 0.12/0.36 tptp_fun_Y_3: $i > $i)).
% 0.12/0.36 tff(existence_type, type, (
% 0.12/0.36 existence: $i)).
% 0.12/0.36 tff(1,assumption,((~((~object(god)) | (~exemplifies_property(none_greater, god)) | (~((~exemplifies_property(none_greater, tptp_fun_Z_2(god, none_greater))) | (~object(tptp_fun_Z_2(god, none_greater))) | (tptp_fun_Z_2(god, none_greater) = god))) | is_the(god, none_greater))) | (~((~is_the(god, none_greater)) | (~((~object(god)) | (~exemplifies_property(none_greater, god)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = god)))))))), introduced(assumption)).
% 0.12/0.36 tff(2,plain,
% 0.12/0.36 (is_the(god, none_greater) <=> is_the(god, none_greater)),
% 0.12/0.36 inference(rewrite,[status(thm)],[])).
% 0.12/0.36 tff(3,axiom,(is_the(god, none_greater)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','definition_god')).
% 0.12/0.36 tff(4,plain,
% 0.12/0.36 (is_the(god, none_greater)),
% 0.12/0.36 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.12/0.36 tff(5,plain,
% 0.12/0.36 (^[X: $i, F: $i] : refl(((~is_the(X, F)) | (~((~property(F)) | (~object(X))))) <=> ((~is_the(X, F)) | (~((~property(F)) | (~object(X))))))),
% 0.12/0.36 inference(bind,[status(th)],[])).
% 0.12/0.36 tff(6,plain,
% 0.12/0.36 (![X: $i, F: $i] : ((~is_the(X, F)) | (~((~property(F)) | (~object(X))))) <=> ![X: $i, F: $i] : ((~is_the(X, F)) | (~((~property(F)) | (~object(X)))))),
% 0.12/0.36 inference(quant_intro,[status(thm)],[5])).
% 0.12/0.36 tff(7,plain,
% 0.12/0.36 (^[X: $i, F: $i] : rewrite(((~is_the(X, F)) | (property(F) & object(X))) <=> ((~is_the(X, F)) | (~((~property(F)) | (~object(X))))))),
% 0.12/0.36 inference(bind,[status(th)],[])).
% 0.12/0.36 tff(8,plain,
% 0.12/0.36 (![X: $i, F: $i] : ((~is_the(X, F)) | (property(F) & object(X))) <=> ![X: $i, F: $i] : ((~is_the(X, F)) | (~((~property(F)) | (~object(X)))))),
% 0.12/0.36 inference(quant_intro,[status(thm)],[7])).
% 0.12/0.36 tff(9,plain,
% 0.12/0.36 (![X: $i, F: $i] : ((~is_the(X, F)) | (property(F) & object(X))) <=> ![X: $i, F: $i] : ((~is_the(X, F)) | (property(F) & object(X)))),
% 0.12/0.36 inference(rewrite,[status(thm)],[])).
% 0.12/0.36 tff(10,plain,
% 0.12/0.36 (^[X: $i, F: $i] : rewrite((is_the(X, F) => (property(F) & object(X))) <=> ((~is_the(X, F)) | (property(F) & object(X))))),
% 0.12/0.36 inference(bind,[status(th)],[])).
% 0.12/0.36 tff(11,plain,
% 0.12/0.36 (![X: $i, F: $i] : (is_the(X, F) => (property(F) & object(X))) <=> ![X: $i, F: $i] : ((~is_the(X, F)) | (property(F) & object(X)))),
% 0.12/0.36 inference(quant_intro,[status(thm)],[10])).
% 0.12/0.36 tff(12,axiom,(![X: $i, F: $i] : (is_the(X, F) => (property(F) & object(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','description_is_property_and_described_is_object')).
% 0.12/0.37 tff(13,plain,
% 0.12/0.37 (![X: $i, F: $i] : ((~is_the(X, F)) | (property(F) & object(X)))),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[12, 11])).
% 0.12/0.37 tff(14,plain,
% 0.12/0.37 (![X: $i, F: $i] : ((~is_the(X, F)) | (property(F) & object(X)))),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[13, 9])).
% 0.12/0.37 tff(15,plain,(
% 0.12/0.37 ![X: $i, F: $i] : ((~is_the(X, F)) | (property(F) & object(X)))),
% 0.12/0.37 inference(skolemize,[status(sab)],[14])).
% 0.12/0.37 tff(16,plain,
% 0.12/0.37 (![X: $i, F: $i] : ((~is_the(X, F)) | (~((~property(F)) | (~object(X)))))),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[15, 8])).
% 0.12/0.37 tff(17,plain,
% 0.12/0.37 (![X: $i, F: $i] : ((~is_the(X, F)) | (~((~property(F)) | (~object(X)))))),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[16, 6])).
% 0.12/0.37 tff(18,plain,
% 0.12/0.37 (((~![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)))))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(19,plain,
% 0.12/0.37 ((~![X: $i, F: $i] : ((~is_the(X, F)) | (~((~property(F)) | (~object(X)))))) | ((~is_the(god, none_greater)) | (~((~property(none_greater)) | (~object(god)))))),
% 0.12/0.37 inference(quant_inst,[status(thm)],[])).
% 0.12/0.37 tff(20,plain,
% 0.12/0.37 ((~![X: $i, F: $i] : ((~is_the(X, F)) | (~((~property(F)) | (~object(X)))))) | (~is_the(god, none_greater)) | (~((~property(none_greater)) | (~object(god))))),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[19, 18])).
% 0.12/0.37 tff(21,plain,
% 0.12/0.37 (~((~property(none_greater)) | (~object(god)))),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[20, 17, 4])).
% 0.12/0.37 tff(22,plain,
% 0.12/0.37 (((~property(none_greater)) | (~object(god))) | object(god)),
% 0.12/0.37 inference(tautology,[status(thm)],[])).
% 0.12/0.37 tff(23,plain,
% 0.12/0.37 (object(god)),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[22, 21])).
% 0.12/0.37 tff(24,plain,
% 0.12/0.37 (?[X: $i] : (object(X) & exemplifies_property(none_greater, X)) <=> ?[X: $i] : (object(X) & exemplifies_property(none_greater, X))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(25,axiom,(?[X: $i] : (object(X) & exemplifies_property(none_greater, X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','premise_1')).
% 0.12/0.37 tff(26,plain,
% 0.12/0.37 (?[X: $i] : (object(X) & exemplifies_property(none_greater, X))),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[25, 24])).
% 0.12/0.37 tff(27,plain,(
% 0.12/0.37 object(X!4) & exemplifies_property(none_greater, X!4)),
% 0.12/0.37 inference(skolemize,[status(sab)],[26])).
% 0.12/0.37 tff(28,plain,
% 0.12/0.37 (exemplifies_property(none_greater, X!4)),
% 0.12/0.37 inference(and_elim,[status(thm)],[27])).
% 0.12/0.37 tff(29,plain,
% 0.12/0.37 (^[X: $i, F: $i] : refl(((~exemplifies_property(F, X)) | (~((~property(F)) | (~object(X))))) <=> ((~exemplifies_property(F, X)) | (~((~property(F)) | (~object(X))))))),
% 0.12/0.37 inference(bind,[status(th)],[])).
% 0.12/0.37 tff(30,plain,
% 0.12/0.37 (![X: $i, F: $i] : ((~exemplifies_property(F, X)) | (~((~property(F)) | (~object(X))))) <=> ![X: $i, F: $i] : ((~exemplifies_property(F, X)) | (~((~property(F)) | (~object(X)))))),
% 0.12/0.37 inference(quant_intro,[status(thm)],[29])).
% 0.12/0.37 tff(31,plain,
% 0.12/0.37 (^[X: $i, F: $i] : rewrite(((~exemplifies_property(F, X)) | (property(F) & object(X))) <=> ((~exemplifies_property(F, X)) | (~((~property(F)) | (~object(X))))))),
% 0.12/0.37 inference(bind,[status(th)],[])).
% 0.12/0.37 tff(32,plain,
% 0.12/0.37 (![X: $i, F: $i] : ((~exemplifies_property(F, X)) | (property(F) & object(X))) <=> ![X: $i, F: $i] : ((~exemplifies_property(F, X)) | (~((~property(F)) | (~object(X)))))),
% 0.12/0.37 inference(quant_intro,[status(thm)],[31])).
% 0.12/0.37 tff(33,plain,
% 0.12/0.37 (![X: $i, F: $i] : ((~exemplifies_property(F, X)) | (property(F) & object(X))) <=> ![X: $i, F: $i] : ((~exemplifies_property(F, X)) | (property(F) & object(X)))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(34,plain,
% 0.12/0.37 (^[X: $i, F: $i] : rewrite((exemplifies_property(F, X) => (property(F) & object(X))) <=> ((~exemplifies_property(F, X)) | (property(F) & object(X))))),
% 0.12/0.37 inference(bind,[status(th)],[])).
% 0.12/0.37 tff(35,plain,
% 0.12/0.37 (![X: $i, F: $i] : (exemplifies_property(F, X) => (property(F) & object(X))) <=> ![X: $i, F: $i] : ((~exemplifies_property(F, X)) | (property(F) & object(X)))),
% 0.12/0.37 inference(quant_intro,[status(thm)],[34])).
% 0.12/0.37 tff(36,axiom,(![X: $i, F: $i] : (exemplifies_property(F, X) => (property(F) & object(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','exemplifier_is_object_and_exemplified_is_property')).
% 0.12/0.37 tff(37,plain,
% 0.12/0.37 (![X: $i, F: $i] : ((~exemplifies_property(F, X)) | (property(F) & object(X)))),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[36, 35])).
% 0.12/0.37 tff(38,plain,
% 0.12/0.37 (![X: $i, F: $i] : ((~exemplifies_property(F, X)) | (property(F) & object(X)))),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[37, 33])).
% 0.12/0.37 tff(39,plain,(
% 0.12/0.37 ![X: $i, F: $i] : ((~exemplifies_property(F, X)) | (property(F) & object(X)))),
% 0.12/0.37 inference(skolemize,[status(sab)],[38])).
% 0.12/0.37 tff(40,plain,
% 0.12/0.37 (![X: $i, F: $i] : ((~exemplifies_property(F, X)) | (~((~property(F)) | (~object(X)))))),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[39, 32])).
% 0.12/0.37 tff(41,plain,
% 0.12/0.37 (![X: $i, F: $i] : ((~exemplifies_property(F, X)) | (~((~property(F)) | (~object(X)))))),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[40, 30])).
% 0.12/0.37 tff(42,plain,
% 0.12/0.37 (((~![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)))))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(43,plain,
% 0.12/0.37 (((~exemplifies_property(none_greater, X!4)) | (~((~property(none_greater)) | (~object(X!4))))) <=> ((~exemplifies_property(none_greater, X!4)) | (~((~object(X!4)) | (~property(none_greater)))))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(44,plain,
% 0.12/0.37 (((~![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))))))),
% 0.12/0.37 inference(monotonicity,[status(thm)],[43])).
% 0.12/0.37 tff(45,plain,
% 0.12/0.37 (((~![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)))))),
% 0.12/0.37 inference(transitivity,[status(thm)],[44, 42])).
% 0.12/0.37 tff(46,plain,
% 0.12/0.37 ((~![X: $i, F: $i] : ((~exemplifies_property(F, X)) | (~((~property(F)) | (~object(X)))))) | ((~exemplifies_property(none_greater, X!4)) | (~((~property(none_greater)) | (~object(X!4)))))),
% 0.12/0.37 inference(quant_inst,[status(thm)],[])).
% 0.12/0.37 tff(47,plain,
% 0.12/0.37 ((~![X: $i, F: $i] : ((~exemplifies_property(F, X)) | (~((~property(F)) | (~object(X)))))) | (~exemplifies_property(none_greater, X!4)) | (~((~object(X!4)) | (~property(none_greater))))),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[46, 45])).
% 0.12/0.37 tff(48,plain,
% 0.12/0.37 (~((~object(X!4)) | (~property(none_greater)))),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[47, 41, 28])).
% 0.12/0.37 tff(49,plain,
% 0.12/0.37 (((~object(X!4)) | (~property(none_greater))) | property(none_greater)),
% 0.12/0.37 inference(tautology,[status(thm)],[])).
% 0.12/0.37 tff(50,plain,
% 0.12/0.37 (property(none_greater)),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[49, 48])).
% 0.12/0.37 tff(51,plain,
% 0.12/0.37 (^[F: $i, X: $i, W: $i] : rewrite(((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~is_the(X, F)) | (~(X = W)) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z)))))))) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F))))) | (~((~is_the(X, F)) | (~(X = W))))))))) <=> ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F))))) | (~((~is_the(X, F)) | (~(X = W)))))) | (~((~is_the(X, F)) | (~(X = W)) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z))))))))))))),
% 0.12/0.37 inference(bind,[status(th)],[])).
% 0.12/0.37 tff(52,plain,
% 0.12/0.37 (![F: $i, X: $i, W: $i] : ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~is_the(X, F)) | (~(X = W)) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z)))))))) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F))))) | (~((~is_the(X, F)) | (~(X = W))))))))) <=> ![F: $i, X: $i, W: $i] : ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F))))) | (~((~is_the(X, F)) | (~(X = W)))))) | (~((~is_the(X, F)) | (~(X = W)) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z)))))))))))),
% 0.12/0.37 inference(quant_intro,[status(thm)],[51])).
% 0.12/0.37 tff(53,plain,
% 0.12/0.37 (^[F: $i, X: $i, W: $i] : refl(((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~is_the(X, F)) | (~(X = W)) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z)))))))) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F))))) | (~((~is_the(X, F)) | (~(X = W))))))))) <=> ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~is_the(X, F)) | (~(X = W)) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z)))))))) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F))))) | (~((~is_the(X, F)) | (~(X = W))))))))))),
% 0.12/0.37 inference(bind,[status(th)],[])).
% 0.12/0.37 tff(54,plain,
% 0.12/0.37 (![F: $i, X: $i, W: $i] : ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~is_the(X, F)) | (~(X = W)) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z)))))))) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F))))) | (~((~is_the(X, F)) | (~(X = W))))))))) <=> ![F: $i, X: $i, W: $i] : ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~is_the(X, F)) | (~(X = W)) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z)))))))) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F))))) | (~((~is_the(X, F)) | (~(X = W)))))))))),
% 0.12/0.37 inference(quant_intro,[status(thm)],[53])).
% 0.12/0.37 tff(55,plain,
% 0.12/0.37 (^[F: $i, X: $i, W: $i] : rewrite(((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~is_the(X, F)) | (~(X = W)) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z)))))))) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F))))) | (~((~is_the(X, F)) | (~(X = W))))))))) <=> ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~is_the(X, F)) | (~(X = W)) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z)))))))) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F))))) | (~((~is_the(X, F)) | (~(X = W))))))))))),
% 0.12/0.37 inference(bind,[status(th)],[])).
% 0.12/0.37 tff(56,plain,
% 0.12/0.37 (![F: $i, X: $i, W: $i] : ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~is_the(X, F)) | (~(X = W)) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z)))))))) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F))))) | (~((~is_the(X, F)) | (~(X = W))))))))) <=> ![F: $i, X: $i, W: $i] : ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~is_the(X, F)) | (~(X = W)) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z)))))))) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F))))) | (~((~is_the(X, F)) | (~(X = W)))))))))),
% 0.12/0.37 inference(quant_intro,[status(thm)],[55])).
% 0.12/0.37 tff(57,plain,
% 0.12/0.37 (![F: $i, X: $i, W: $i] : ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~is_the(X, F)) | (~(X = W)) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z)))))))) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F))))) | (~((~is_the(X, F)) | (~(X = W))))))))) <=> ![F: $i, X: $i, W: $i] : ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~is_the(X, F)) | (~(X = W)) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z)))))))) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F))))) | (~((~is_the(X, F)) | (~(X = W)))))))))),
% 0.12/0.37 inference(transitivity,[status(thm)],[56, 54])).
% 0.12/0.37 tff(58,plain,
% 0.12/0.37 (^[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(W) & exemplifies_property(F, W) & ![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z)))) <=> (~((~object(W)) | (~exemplifies_property(F, W)) | (~![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z))))))), (((~(is_the(X, F) & (X = W))) | (object(W) & exemplifies_property(F, W) & ![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z))))) <=> (((~is_the(X, F)) | (~(X = W))) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z))))))))), rewrite((((~is_the(X, F)) | (~(X = W))) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z))))))) <=> ((~is_the(X, F)) | (~(X = W)) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z)))))))), (((~(is_the(X, F) & (X = W))) | (object(W) & exemplifies_property(F, W) & ![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z))))) <=> ((~is_the(X, F)) | (~(X = W)) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z))))))))), trans(monotonicity(rewrite((is_the(X, F) & (X = W)) <=> (~((~is_the(X, F)) | (~(X = W))))), rewrite((~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F))))) <=> (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F)))))), (((is_the(X, F) & (X = W)) | (~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F)))))) <=> ((~((~is_the(X, F)) | (~(X = W)))) | (~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F)))))))), rewrite(((~((~is_the(X, F)) | (~(X = W)))) | (~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F)))))) <=> ((~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F))))) | (~((~is_the(X, F)) | (~(X = W)))))), (((is_the(X, F) & (X = W)) | (~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F)))))) <=> ((~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F))))) | (~((~is_the(X, F)) | (~(X = W))))))), ((((~(is_the(X, F) & (X = W))) | (object(W) & exemplifies_property(F, W) & ![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z))))) & ((is_the(X, F) & (X = W)) | (~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F))))))) <=> (((~is_the(X, F)) | (~(X = W)) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z))))))) & ((~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F))))) | (~((~is_the(X, F)) | (~(X = W)))))))), rewrite((((~is_the(X, F)) | (~(X = W)) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z))))))) & ((~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F))))) | (~((~is_the(X, F)) | (~(X = W)))))) <=> (~((~((~is_the(X, F)) | (~(X = W)) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z)))))))) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F))))) | (~((~is_the(X, F)) | (~(X = W))))))))), ((((~(is_the(X, F) & (X = W))) | (object(W) & exemplifies_property(F, W) & ![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z))))) & ((is_the(X, F) & (X = W)) | (~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F))))))) <=> (~((~((~is_the(X, F)) | (~(X = W)) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z)))))))) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F))))) | (~((~is_the(X, F)) | (~(X = W)))))))))), (((~(property(F) & object(X) & object(W))) | (((~(is_the(X, F) & (X = W))) | (object(W) & exemplifies_property(F, W) & ![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z))))) & ((is_the(X, F) & (X = W)) | (~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F)))))))) <=> (((~object(W)) | (~object(X)) | (~property(F))) | (~((~((~is_the(X, F)) | (~(X = W)) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z)))))))) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F))))) | (~((~is_the(X, F)) | (~(X = W))))))))))), rewrite((((~object(W)) | (~object(X)) | (~property(F))) | (~((~((~is_the(X, F)) | (~(X = W)) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z)))))))) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F))))) | (~((~is_the(X, F)) | (~(X = W))))))))) <=> ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~is_the(X, F)) | (~(X = W)) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z)))))))) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F))))) | (~((~is_the(X, F)) | (~(X = W)))))))))), (((~(property(F) & object(X) & object(W))) | (((~(is_the(X, F) & (X = W))) | (object(W) & exemplifies_property(F, W) & ![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z))))) & ((is_the(X, F) & (X = W)) | (~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F)))))))) <=> ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~is_the(X, F)) | (~(X = W)) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z)))))))) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F))))) | (~((~is_the(X, F)) | (~(X = W)))))))))))),
% 0.12/0.37 inference(bind,[status(th)],[])).
% 0.12/0.37 tff(59,plain,
% 0.12/0.37 (![F: $i, X: $i, W: $i] : ((~(property(F) & object(X) & object(W))) | (((~(is_the(X, F) & (X = W))) | (object(W) & exemplifies_property(F, W) & ![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z))))) & ((is_the(X, F) & (X = W)) | (~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F)))))))) <=> ![F: $i, X: $i, W: $i] : ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~is_the(X, F)) | (~(X = W)) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z)))))))) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F))))) | (~((~is_the(X, F)) | (~(X = W)))))))))),
% 0.12/0.37 inference(quant_intro,[status(thm)],[58])).
% 0.12/0.37 tff(60,plain,
% 0.12/0.37 (^[F: $i, X: $i, W: $i] : rewrite(((~(property(F) & object(X) & object(W))) | (((~(is_the(X, F) & (X = W))) | (object(W) & exemplifies_property(F, W) & ![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z))))) & ((is_the(X, F) & (X = W)) | ((~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F))))))))) <=> ((~(property(F) & object(X) & object(W))) | (((~(is_the(X, F) & (X = W))) | (object(W) & exemplifies_property(F, W) & ![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z))))) & ((is_the(X, F) & (X = W)) | (~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F)))))))))),
% 0.12/0.37 inference(bind,[status(th)],[])).
% 0.12/0.37 tff(61,plain,
% 0.12/0.37 (![F: $i, X: $i, W: $i] : ((~(property(F) & object(X) & object(W))) | (((~(is_the(X, F) & (X = W))) | (object(W) & exemplifies_property(F, W) & ![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z))))) & ((is_the(X, F) & (X = W)) | ((~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F))))))))) <=> ![F: $i, X: $i, W: $i] : ((~(property(F) & object(X) & object(W))) | (((~(is_the(X, F) & (X = W))) | (object(W) & exemplifies_property(F, W) & ![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z))))) & ((is_the(X, F) & (X = W)) | (~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F))))))))),
% 0.12/0.37 inference(quant_intro,[status(thm)],[60])).
% 0.12/0.37 tff(62,plain,
% 0.12/0.37 (![F: $i, X: $i, W: $i] : ((~(property(F) & object(X) & object(W))) | ((is_the(X, F) & (X = W)) <=> (object(W) & exemplifies_property(F, W) & ![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z)))))) <=> ![F: $i, X: $i, W: $i] : ((~(property(F) & object(X) & object(W))) | ((is_the(X, F) & (X = W)) <=> (object(W) & exemplifies_property(F, W) & ![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z))))))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(63,plain,
% 0.12/0.38 (^[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)) <=> (object(W) & exemplifies_property(F, W) & ![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z)))))), ((((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)) <=> (object(W) & exemplifies_property(F, W) & ![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z)))))))), rewrite(((property(F) & object(X) & object(W)) => ((is_the(X, F) & (X = W)) <=> (object(W) & exemplifies_property(F, W) & ![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z)))))) <=> ((~(property(F) & object(X) & object(W))) | ((is_the(X, F) & (X = W)) <=> (object(W) & exemplifies_property(F, W) & ![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z))))))), ((((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)) <=> (object(W) & exemplifies_property(F, W) & ![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z))))))))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(64,plain,
% 0.12/0.38 (![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)) <=> (object(W) & exemplifies_property(F, W) & ![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z))))))),
% 0.12/0.38 inference(quant_intro,[status(thm)],[63])).
% 0.12/0.38 tff(65,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/sandbox2/benchmark/theBenchmark.p','description_axiom_identity_instance')).
% 0.12/0.38 tff(66,plain,
% 0.12/0.38 (![F: $i, X: $i, W: $i] : ((~(property(F) & object(X) & object(W))) | ((is_the(X, F) & (X = W)) <=> (object(W) & exemplifies_property(F, W) & ![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z))))))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[65, 64])).
% 0.12/0.38 tff(67,plain,
% 0.12/0.38 (![F: $i, X: $i, W: $i] : ((~(property(F) & object(X) & object(W))) | ((is_the(X, F) & (X = W)) <=> (object(W) & exemplifies_property(F, W) & ![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z))))))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[66, 62])).
% 0.12/0.38 tff(68,plain,(
% 0.12/0.38 ![F: $i, X: $i, W: $i] : ((~(property(F) & object(X) & object(W))) | (((~(is_the(X, F) & (X = W))) | (object(W) & exemplifies_property(F, W) & ![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z))))) & ((is_the(X, F) & (X = W)) | ((~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F)))))))))),
% 0.12/0.38 inference(skolemize,[status(sab)],[67])).
% 0.12/0.38 tff(69,plain,
% 0.12/0.38 (![F: $i, X: $i, W: $i] : ((~(property(F) & object(X) & object(W))) | (((~(is_the(X, F) & (X = W))) | (object(W) & exemplifies_property(F, W) & ![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z))))) & ((is_the(X, F) & (X = W)) | (~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F))))))))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[68, 61])).
% 0.12/0.38 tff(70,plain,
% 0.12/0.38 (![F: $i, X: $i, W: $i] : ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~is_the(X, F)) | (~(X = W)) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z)))))))) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F))))) | (~((~is_the(X, F)) | (~(X = W)))))))))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[69, 59])).
% 0.12/0.38 tff(71,plain,
% 0.12/0.38 (![F: $i, X: $i, W: $i] : ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~is_the(X, F)) | (~(X = W)) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z)))))))) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F))))) | (~((~is_the(X, F)) | (~(X = W)))))))))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[70, 57])).
% 0.12/0.38 tff(72,plain,
% 0.12/0.38 (![F: $i, X: $i, W: $i] : ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F))))) | (~((~is_the(X, F)) | (~(X = W)))))) | (~((~is_the(X, F)) | (~(X = W)) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z)))))))))))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[71, 52])).
% 0.12/0.38 tff(73,plain,
% 0.12/0.38 (((~![F: $i, X: $i, W: $i] : ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F))))) | (~((~is_the(X, F)) | (~(X = W)))))) | (~((~is_the(X, F)) | (~(X = W)) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z)))))))))))) | ((~property(none_greater)) | (~object(god)) | (~((~((~object(god)) | (~exemplifies_property(none_greater, god)) | (~((~exemplifies_property(none_greater, tptp_fun_Z_2(god, none_greater))) | (~object(tptp_fun_Z_2(god, none_greater))) | (tptp_fun_Z_2(god, none_greater) = god))) | is_the(god, none_greater))) | (~((~is_the(god, none_greater)) | (~((~object(god)) | (~exemplifies_property(none_greater, god)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = god))))))))))) <=> ((~![F: $i, X: $i, W: $i] : ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F))))) | (~((~is_the(X, F)) | (~(X = W)))))) | (~((~is_the(X, F)) | (~(X = W)) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z)))))))))))) | (~property(none_greater)) | (~object(god)) | (~((~((~object(god)) | (~exemplifies_property(none_greater, god)) | (~((~exemplifies_property(none_greater, tptp_fun_Z_2(god, none_greater))) | (~object(tptp_fun_Z_2(god, none_greater))) | (tptp_fun_Z_2(god, none_greater) = god))) | is_the(god, none_greater))) | (~((~is_the(god, none_greater)) | (~((~object(god)) | (~exemplifies_property(none_greater, god)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = god))))))))))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(74,plain,
% 0.12/0.38 (((~object(god)) | (~object(god)) | (~property(none_greater)) | (~((~((~object(god)) | (~exemplifies_property(none_greater, god)) | (~((~exemplifies_property(none_greater, tptp_fun_Z_2(god, none_greater))) | (~object(tptp_fun_Z_2(god, none_greater))) | (tptp_fun_Z_2(god, none_greater) = god))) | is_the(god, none_greater))) | (~((~is_the(god, none_greater)) | (~((~object(god)) | (~exemplifies_property(none_greater, god)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = god)))))))))) <=> ((~property(none_greater)) | (~object(god)) | (~((~((~object(god)) | (~exemplifies_property(none_greater, god)) | (~((~exemplifies_property(none_greater, tptp_fun_Z_2(god, none_greater))) | (~object(tptp_fun_Z_2(god, none_greater))) | (tptp_fun_Z_2(god, none_greater) = god))) | is_the(god, none_greater))) | (~((~is_the(god, none_greater)) | (~((~object(god)) | (~exemplifies_property(none_greater, god)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = god))))))))))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(75,plain,
% 0.12/0.38 ((~((~((~object(god)) | (~exemplifies_property(none_greater, god)) | (~((tptp_fun_Z_2(god, none_greater) = god) | (~object(tptp_fun_Z_2(god, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Z_2(god, none_greater))))) | (~((~is_the(god, none_greater)) | (~(god = god)))))) | (~((~is_the(god, none_greater)) | (~(god = god)) | (~((~object(god)) | (~exemplifies_property(none_greater, god)) | (~![Z: $i] : ((Z = god) | (~object(Z)) | (~exemplifies_property(none_greater, Z)))))))))) <=> (~((~((~object(god)) | (~exemplifies_property(none_greater, god)) | (~((~exemplifies_property(none_greater, tptp_fun_Z_2(god, none_greater))) | (~object(tptp_fun_Z_2(god, none_greater))) | (tptp_fun_Z_2(god, none_greater) = god))) | is_the(god, none_greater))) | (~((~is_the(god, none_greater)) | (~((~object(god)) | (~exemplifies_property(none_greater, god)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = god)))))))))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(76,plain,
% 0.12/0.38 (((~object(god)) | (~object(god)) | (~property(none_greater)) | (~((~((~object(god)) | (~exemplifies_property(none_greater, god)) | (~((tptp_fun_Z_2(god, none_greater) = god) | (~object(tptp_fun_Z_2(god, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Z_2(god, none_greater))))) | (~((~is_the(god, none_greater)) | (~(god = god)))))) | (~((~is_the(god, none_greater)) | (~(god = god)) | (~((~object(god)) | (~exemplifies_property(none_greater, god)) | (~![Z: $i] : ((Z = god) | (~object(Z)) | (~exemplifies_property(none_greater, Z))))))))))) <=> ((~object(god)) | (~object(god)) | (~property(none_greater)) | (~((~((~object(god)) | (~exemplifies_property(none_greater, god)) | (~((~exemplifies_property(none_greater, tptp_fun_Z_2(god, none_greater))) | (~object(tptp_fun_Z_2(god, none_greater))) | (tptp_fun_Z_2(god, none_greater) = god))) | is_the(god, none_greater))) | (~((~is_the(god, none_greater)) | (~((~object(god)) | (~exemplifies_property(none_greater, god)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = god))))))))))),
% 0.12/0.38 inference(monotonicity,[status(thm)],[75])).
% 0.12/0.38 tff(77,plain,
% 0.12/0.38 (((~object(god)) | (~object(god)) | (~property(none_greater)) | (~((~((~object(god)) | (~exemplifies_property(none_greater, god)) | (~((tptp_fun_Z_2(god, none_greater) = god) | (~object(tptp_fun_Z_2(god, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Z_2(god, none_greater))))) | (~((~is_the(god, none_greater)) | (~(god = god)))))) | (~((~is_the(god, none_greater)) | (~(god = god)) | (~((~object(god)) | (~exemplifies_property(none_greater, god)) | (~![Z: $i] : ((Z = god) | (~object(Z)) | (~exemplifies_property(none_greater, Z))))))))))) <=> ((~property(none_greater)) | (~object(god)) | (~((~((~object(god)) | (~exemplifies_property(none_greater, god)) | (~((~exemplifies_property(none_greater, tptp_fun_Z_2(god, none_greater))) | (~object(tptp_fun_Z_2(god, none_greater))) | (tptp_fun_Z_2(god, none_greater) = god))) | is_the(god, none_greater))) | (~((~is_the(god, none_greater)) | (~((~object(god)) | (~exemplifies_property(none_greater, god)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = god))))))))))),
% 0.12/0.38 inference(transitivity,[status(thm)],[76, 74])).
% 0.12/0.38 tff(78,plain,
% 0.12/0.38 (((~![F: $i, X: $i, W: $i] : ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F))))) | (~((~is_the(X, F)) | (~(X = W)))))) | (~((~is_the(X, F)) | (~(X = W)) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z)))))))))))) | ((~object(god)) | (~object(god)) | (~property(none_greater)) | (~((~((~object(god)) | (~exemplifies_property(none_greater, god)) | (~((tptp_fun_Z_2(god, none_greater) = god) | (~object(tptp_fun_Z_2(god, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Z_2(god, none_greater))))) | (~((~is_the(god, none_greater)) | (~(god = god)))))) | (~((~is_the(god, none_greater)) | (~(god = god)) | (~((~object(god)) | (~exemplifies_property(none_greater, god)) | (~![Z: $i] : ((Z = god) | (~object(Z)) | (~exemplifies_property(none_greater, Z)))))))))))) <=> ((~![F: $i, X: $i, W: $i] : ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F))))) | (~((~is_the(X, F)) | (~(X = W)))))) | (~((~is_the(X, F)) | (~(X = W)) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z)))))))))))) | ((~property(none_greater)) | (~object(god)) | (~((~((~object(god)) | (~exemplifies_property(none_greater, god)) | (~((~exemplifies_property(none_greater, tptp_fun_Z_2(god, none_greater))) | (~object(tptp_fun_Z_2(god, none_greater))) | (tptp_fun_Z_2(god, none_greater) = god))) | is_the(god, none_greater))) | (~((~is_the(god, none_greater)) | (~((~object(god)) | (~exemplifies_property(none_greater, god)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = god)))))))))))),
% 0.12/0.38 inference(monotonicity,[status(thm)],[77])).
% 0.12/0.38 tff(79,plain,
% 0.12/0.38 (((~![F: $i, X: $i, W: $i] : ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F))))) | (~((~is_the(X, F)) | (~(X = W)))))) | (~((~is_the(X, F)) | (~(X = W)) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z)))))))))))) | ((~object(god)) | (~object(god)) | (~property(none_greater)) | (~((~((~object(god)) | (~exemplifies_property(none_greater, god)) | (~((tptp_fun_Z_2(god, none_greater) = god) | (~object(tptp_fun_Z_2(god, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Z_2(god, none_greater))))) | (~((~is_the(god, none_greater)) | (~(god = god)))))) | (~((~is_the(god, none_greater)) | (~(god = god)) | (~((~object(god)) | (~exemplifies_property(none_greater, god)) | (~![Z: $i] : ((Z = god) | (~object(Z)) | (~exemplifies_property(none_greater, Z)))))))))))) <=> ((~![F: $i, X: $i, W: $i] : ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F))))) | (~((~is_the(X, F)) | (~(X = W)))))) | (~((~is_the(X, F)) | (~(X = W)) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z)))))))))))) | (~property(none_greater)) | (~object(god)) | (~((~((~object(god)) | (~exemplifies_property(none_greater, god)) | (~((~exemplifies_property(none_greater, tptp_fun_Z_2(god, none_greater))) | (~object(tptp_fun_Z_2(god, none_greater))) | (tptp_fun_Z_2(god, none_greater) = god))) | is_the(god, none_greater))) | (~((~is_the(god, none_greater)) | (~((~object(god)) | (~exemplifies_property(none_greater, god)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = god))))))))))),
% 0.12/0.38 inference(transitivity,[status(thm)],[78, 73])).
% 0.12/0.38 tff(80,plain,
% 0.12/0.38 ((~![F: $i, X: $i, W: $i] : ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F))))) | (~((~is_the(X, F)) | (~(X = W)))))) | (~((~is_the(X, F)) | (~(X = W)) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z)))))))))))) | ((~object(god)) | (~object(god)) | (~property(none_greater)) | (~((~((~object(god)) | (~exemplifies_property(none_greater, god)) | (~((tptp_fun_Z_2(god, none_greater) = god) | (~object(tptp_fun_Z_2(god, none_greater))) | (~exemplifies_property(none_greater, tptp_fun_Z_2(god, none_greater))))) | (~((~is_the(god, none_greater)) | (~(god = god)))))) | (~((~is_the(god, none_greater)) | (~(god = god)) | (~((~object(god)) | (~exemplifies_property(none_greater, god)) | (~![Z: $i] : ((Z = god) | (~object(Z)) | (~exemplifies_property(none_greater, Z)))))))))))),
% 0.12/0.39 inference(quant_inst,[status(thm)],[])).
% 0.12/0.39 tff(81,plain,
% 0.12/0.39 ((~![F: $i, X: $i, W: $i] : ((~object(W)) | (~object(X)) | (~property(F)) | (~((~((~object(W)) | (~exemplifies_property(F, W)) | (~((tptp_fun_Z_2(W, F) = W) | (~object(tptp_fun_Z_2(W, F))) | (~exemplifies_property(F, tptp_fun_Z_2(W, F))))) | (~((~is_the(X, F)) | (~(X = W)))))) | (~((~is_the(X, F)) | (~(X = W)) | (~((~object(W)) | (~exemplifies_property(F, W)) | (~![Z: $i] : ((Z = W) | (~object(Z)) | (~exemplifies_property(F, Z)))))))))))) | (~property(none_greater)) | (~object(god)) | (~((~((~object(god)) | (~exemplifies_property(none_greater, god)) | (~((~exemplifies_property(none_greater, tptp_fun_Z_2(god, none_greater))) | (~object(tptp_fun_Z_2(god, none_greater))) | (tptp_fun_Z_2(god, none_greater) = god))) | is_the(god, none_greater))) | (~((~is_the(god, none_greater)) | (~((~object(god)) | (~exemplifies_property(none_greater, god)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = god)))))))))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[80, 79])).
% 0.12/0.39 tff(82,plain,
% 0.12/0.39 ($false),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[81, 72, 50, 23, 1])).
% 0.12/0.39 tff(83,plain,(~((~((~object(god)) | (~exemplifies_property(none_greater, god)) | (~((~exemplifies_property(none_greater, tptp_fun_Z_2(god, none_greater))) | (~object(tptp_fun_Z_2(god, none_greater))) | (tptp_fun_Z_2(god, none_greater) = god))) | is_the(god, none_greater))) | (~((~is_the(god, none_greater)) | (~((~object(god)) | (~exemplifies_property(none_greater, god)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = god))))))))), inference(lemma,lemma(discharge,[]))).
% 0.12/0.39 tff(84,plain,
% 0.12/0.39 (((~((~object(god)) | (~exemplifies_property(none_greater, god)) | (~((~exemplifies_property(none_greater, tptp_fun_Z_2(god, none_greater))) | (~object(tptp_fun_Z_2(god, none_greater))) | (tptp_fun_Z_2(god, none_greater) = god))) | is_the(god, none_greater))) | (~((~is_the(god, none_greater)) | (~((~object(god)) | (~exemplifies_property(none_greater, god)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = god)))))))) | ((~is_the(god, none_greater)) | (~((~object(god)) | (~exemplifies_property(none_greater, god)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = god))))))),
% 0.12/0.39 inference(tautology,[status(thm)],[])).
% 0.12/0.39 tff(85,plain,
% 0.12/0.39 ((~is_the(god, none_greater)) | (~((~object(god)) | (~exemplifies_property(none_greater, god)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = god)))))),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[84, 83])).
% 0.12/0.39 tff(86,plain,
% 0.12/0.39 ((~((~is_the(god, none_greater)) | (~((~object(god)) | (~exemplifies_property(none_greater, god)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = god))))))) | (~is_the(god, none_greater)) | (~((~object(god)) | (~exemplifies_property(none_greater, god)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = god)))))),
% 0.12/0.39 inference(tautology,[status(thm)],[])).
% 0.12/0.39 tff(87,plain,
% 0.12/0.39 ((~((~is_the(god, none_greater)) | (~((~object(god)) | (~exemplifies_property(none_greater, god)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = god))))))) | (~((~object(god)) | (~exemplifies_property(none_greater, god)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = god)))))),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[86, 4])).
% 0.12/0.39 tff(88,plain,
% 0.12/0.39 (~((~object(god)) | (~exemplifies_property(none_greater, god)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = god))))),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[87, 85])).
% 0.12/0.39 tff(89,plain,
% 0.12/0.39 (((~object(god)) | (~exemplifies_property(none_greater, god)) | (~![Z: $i] : ((~object(Z)) | (~exemplifies_property(none_greater, Z)) | (Z = god)))) | exemplifies_property(none_greater, god)),
% 0.12/0.39 inference(tautology,[status(thm)],[])).
% 0.12/0.39 tff(90,plain,
% 0.12/0.39 (exemplifies_property(none_greater, god)),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[89, 88])).
% 0.12/0.39 tff(91,plain,
% 0.12/0.39 (^[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))))))))))))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(92,plain,
% 0.12/0.39 (![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)))))))))))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[91])).
% 0.12/0.39 tff(93,plain,
% 0.12/0.39 (^[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)))))))))))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(94,plain,
% 0.12/0.39 (![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))))))))))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[93])).
% 0.12/0.39 tff(95,plain,
% 0.12/0.39 (^[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)))))))))))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(96,plain,
% 0.12/0.39 (![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))))))))))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[95])).
% 0.12/0.39 tff(97,plain,
% 0.12/0.39 (![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))))))))))),
% 0.12/0.39 inference(transitivity,[status(thm)],[96, 94])).
% 0.12/0.39 tff(98,plain,
% 0.12/0.39 (^[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)))))))))))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(99,plain,
% 0.12/0.39 (![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))))))))))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[98])).
% 0.12/0.39 tff(100,plain,
% 0.12/0.39 (^[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)))))))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(101,plain,
% 0.12/0.39 (![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))))))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[100])).
% 0.12/0.39 tff(102,plain,
% 0.12/0.39 (![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))))))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(103,plain,
% 0.12/0.40 (^[X: $i] : trans(monotonicity(rewrite((exemplifies_property(none_greater, X) <=> (exemplifies_property(conceivable, X) & (~?[Y: $i] : ((object(Y) & exemplifies_relation(greater_than, Y, X)) & exemplifies_property(conceivable, Y))))) <=> (exemplifies_property(none_greater, X) <=> (exemplifies_property(conceivable, X) & (~?[Y: $i] : (object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y)))))), ((object(X) => (exemplifies_property(none_greater, X) <=> (exemplifies_property(conceivable, X) & (~?[Y: $i] : ((object(Y) & exemplifies_relation(greater_than, Y, X)) & exemplifies_property(conceivable, Y)))))) <=> (object(X) => (exemplifies_property(none_greater, X) <=> (exemplifies_property(conceivable, X) & (~?[Y: $i] : (object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y)))))))), rewrite((object(X) => (exemplifies_property(none_greater, X) <=> (exemplifies_property(conceivable, X) & (~?[Y: $i] : (object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y)))))) <=> ((~object(X)) | (exemplifies_property(none_greater, X) <=> (exemplifies_property(conceivable, X) & (~?[Y: $i] : (object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y))))))), ((object(X) => (exemplifies_property(none_greater, X) <=> (exemplifies_property(conceivable, X) & (~?[Y: $i] : ((object(Y) & exemplifies_relation(greater_than, Y, X)) & exemplifies_property(conceivable, Y)))))) <=> ((~object(X)) | (exemplifies_property(none_greater, X) <=> (exemplifies_property(conceivable, X) & (~?[Y: $i] : (object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y))))))))),
% 0.12/0.40 inference(bind,[status(th)],[])).
% 0.12/0.40 tff(104,plain,
% 0.12/0.40 (![X: $i] : (object(X) => (exemplifies_property(none_greater, X) <=> (exemplifies_property(conceivable, X) & (~?[Y: $i] : ((object(Y) & exemplifies_relation(greater_than, Y, X)) & exemplifies_property(conceivable, Y)))))) <=> ![X: $i] : ((~object(X)) | (exemplifies_property(none_greater, X) <=> (exemplifies_property(conceivable, X) & (~?[Y: $i] : (object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y))))))),
% 0.12/0.40 inference(quant_intro,[status(thm)],[103])).
% 0.12/0.40 tff(105,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/sandbox2/benchmark/theBenchmark.p','definition_none_greater')).
% 0.12/0.40 tff(106,plain,
% 0.12/0.40 (![X: $i] : ((~object(X)) | (exemplifies_property(none_greater, X) <=> (exemplifies_property(conceivable, X) & (~?[Y: $i] : (object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y))))))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[105, 104])).
% 0.12/0.40 tff(107,plain,
% 0.12/0.40 (![X: $i] : ((~object(X)) | (exemplifies_property(none_greater, X) <=> (exemplifies_property(conceivable, X) & (~?[Y: $i] : (object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y))))))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[106, 102])).
% 0.12/0.40 tff(108,plain,(
% 0.12/0.40 ![X: $i] : ((~object(X)) | (((~exemplifies_property(none_greater, X)) | (exemplifies_property(conceivable, X) & ![Y: $i] : (~(object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y))))) & (exemplifies_property(none_greater, X) | ((~exemplifies_property(conceivable, X)) | (object(tptp_fun_Y_3(X)) & exemplifies_relation(greater_than, tptp_fun_Y_3(X), X) & exemplifies_property(conceivable, tptp_fun_Y_3(X)))))))),
% 0.12/0.40 inference(skolemize,[status(sab)],[107])).
% 0.12/0.40 tff(109,plain,
% 0.12/0.40 (![X: $i] : ((~object(X)) | (((~exemplifies_property(none_greater, X)) | (exemplifies_property(conceivable, X) & ![Y: $i] : (~(object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y))))) & (exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (object(tptp_fun_Y_3(X)) & exemplifies_relation(greater_than, tptp_fun_Y_3(X), X) & exemplifies_property(conceivable, tptp_fun_Y_3(X))))))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[108, 101])).
% 0.12/0.40 tff(110,plain,
% 0.12/0.40 (![X: $i] : ((~object(X)) | (~((~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))) | (~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X))))))))))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[109, 99])).
% 0.12/0.40 tff(111,plain,
% 0.12/0.40 (![X: $i] : ((~object(X)) | (~((~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))) | (~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X))))))))))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[110, 97])).
% 0.12/0.40 tff(112,plain,
% 0.12/0.40 (![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)))))))))))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[111, 92])).
% 0.12/0.40 tff(113,plain,
% 0.12/0.40 (((~![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(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))))) | (~exemplifies_property(conceivable, god)) | exemplifies_property(none_greater, god))) | (~((~exemplifies_property(none_greater, god)) | (~((~exemplifies_property(conceivable, god)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, god)))))))))))) <=> ((~![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(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))))) | (~exemplifies_property(conceivable, god)) | exemplifies_property(none_greater, god))) | (~((~exemplifies_property(none_greater, god)) | (~((~exemplifies_property(conceivable, god)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, god)))))))))))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(114,plain,
% 0.12/0.40 (((~object(god)) | (~((~(exemplifies_property(none_greater, god) | (~exemplifies_property(conceivable, 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))))))) | (~((~exemplifies_property(none_greater, god)) | (~((~exemplifies_property(conceivable, god)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, 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))))) | (~exemplifies_property(conceivable, god)) | exemplifies_property(none_greater, god))) | (~((~exemplifies_property(none_greater, god)) | (~((~exemplifies_property(conceivable, god)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, god)))))))))))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(115,plain,
% 0.19/0.40 (((~![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(god)) | (~((~(exemplifies_property(none_greater, god) | (~exemplifies_property(conceivable, 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))))))) | (~((~exemplifies_property(none_greater, god)) | (~((~exemplifies_property(conceivable, god)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, god)))))))))))) <=> ((~![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(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))))) | (~exemplifies_property(conceivable, god)) | exemplifies_property(none_greater, god))) | (~((~exemplifies_property(none_greater, god)) | (~((~exemplifies_property(conceivable, god)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, god))))))))))))),
% 0.19/0.40 inference(monotonicity,[status(thm)],[114])).
% 0.19/0.40 tff(116,plain,
% 0.19/0.40 (((~![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(god)) | (~((~(exemplifies_property(none_greater, god) | (~exemplifies_property(conceivable, 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))))))) | (~((~exemplifies_property(none_greater, god)) | (~((~exemplifies_property(conceivable, god)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, god)))))))))))) <=> ((~![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(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))))) | (~exemplifies_property(conceivable, god)) | exemplifies_property(none_greater, god))) | (~((~exemplifies_property(none_greater, god)) | (~((~exemplifies_property(conceivable, god)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, god)))))))))))),
% 0.19/0.40 inference(transitivity,[status(thm)],[115, 113])).
% 0.19/0.40 tff(117,plain,
% 0.19/0.40 ((~![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(god)) | (~((~(exemplifies_property(none_greater, god) | (~exemplifies_property(conceivable, 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))))))) | (~((~exemplifies_property(none_greater, god)) | (~((~exemplifies_property(conceivable, god)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, god)))))))))))),
% 0.19/0.40 inference(quant_inst,[status(thm)],[])).
% 0.19/0.40 tff(118,plain,
% 0.19/0.40 ((~![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(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))))) | (~exemplifies_property(conceivable, god)) | exemplifies_property(none_greater, god))) | (~((~exemplifies_property(none_greater, god)) | (~((~exemplifies_property(conceivable, god)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, god))))))))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[117, 116])).
% 0.19/0.40 tff(119,plain,
% 0.19/0.40 (~((~((~((~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, god)) | exemplifies_property(none_greater, god))) | (~((~exemplifies_property(none_greater, god)) | (~((~exemplifies_property(conceivable, god)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, god)))))))))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[118, 112, 23])).
% 0.19/0.40 tff(120,plain,
% 0.19/0.40 (((~((~((~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, god)) | exemplifies_property(none_greater, god))) | (~((~exemplifies_property(none_greater, god)) | (~((~exemplifies_property(conceivable, god)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, god))))))))) | ((~exemplifies_property(none_greater, god)) | (~((~exemplifies_property(conceivable, god)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, god)))))))),
% 0.19/0.40 inference(tautology,[status(thm)],[])).
% 0.19/0.40 tff(121,plain,
% 0.19/0.40 ((~exemplifies_property(none_greater, god)) | (~((~exemplifies_property(conceivable, god)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, god))))))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[120, 119])).
% 0.19/0.40 tff(122,plain,
% 0.19/0.40 ((~((~exemplifies_property(none_greater, god)) | (~((~exemplifies_property(conceivable, god)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, god)))))))) | (~exemplifies_property(none_greater, god)) | (~((~exemplifies_property(conceivable, god)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, god))))))),
% 0.19/0.40 inference(tautology,[status(thm)],[])).
% 0.19/0.40 tff(123,plain,
% 0.19/0.40 ((~exemplifies_property(none_greater, god)) | (~((~exemplifies_property(conceivable, god)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, god))))))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[122, 121])).
% 0.19/0.40 tff(124,plain,
% 0.19/0.40 (~((~exemplifies_property(conceivable, god)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, god)))))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[123, 90])).
% 0.19/0.40 tff(125,plain,
% 0.19/0.40 (((~exemplifies_property(conceivable, god)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, god))))) | ![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, god)))),
% 0.19/0.40 inference(tautology,[status(thm)],[])).
% 0.19/0.40 tff(126,plain,
% 0.19/0.40 (![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, god)))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[125, 124])).
% 0.19/0.40 tff(127,plain,
% 0.19/0.40 ((~exemplifies_property(existence, god)) <=> (~exemplifies_property(existence, god))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(128,axiom,(~exemplifies_property(existence, god)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','god_exists')).
% 0.19/0.40 tff(129,plain,
% 0.19/0.40 (~exemplifies_property(existence, god)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[128, 127])).
% 0.19/0.40 tff(130,plain,
% 0.19/0.40 (^[X: $i] : refl((exemplifies_property(existence, X) | (~object(X)) | (~is_the(X, none_greater)) | (~((~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)) | (~is_the(X, none_greater)) | (~((~object(tptp_fun_Y_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X)))))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(131,plain,
% 0.19/0.40 (![X: $i] : (exemplifies_property(existence, X) | (~object(X)) | (~is_the(X, none_greater)) | (~((~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)) | (~is_the(X, none_greater)) | (~((~object(tptp_fun_Y_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X))))))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[130])).
% 0.19/0.40 tff(132,plain,
% 0.19/0.40 (^[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)) | (~is_the(X, none_greater)) | (~((~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)))) <=> (exemplifies_property(existence, X) | (~object(X)) | (~is_the(X, none_greater)) | (~((~object(tptp_fun_Y_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X))))))))),
% 0.19/0.41 inference(bind,[status(th)],[])).
% 0.19/0.41 tff(133,plain,
% 0.19/0.41 (![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)) | (~is_the(X, none_greater)) | (~((~object(tptp_fun_Y_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X))))))),
% 0.19/0.41 inference(quant_intro,[status(thm)],[132])).
% 0.19/0.41 tff(134,plain,
% 0.19/0.41 (^[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)))))),
% 0.19/0.41 inference(bind,[status(th)],[])).
% 0.19/0.41 tff(135,plain,
% 0.19/0.41 (![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))))),
% 0.19/0.41 inference(quant_intro,[status(thm)],[134])).
% 0.19/0.41 tff(136,plain,
% 0.19/0.41 (![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)))))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(137,plain,
% 0.19/0.41 (^[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)))))))),
% 0.19/0.41 inference(bind,[status(th)],[])).
% 0.19/0.41 tff(138,plain,
% 0.19/0.41 (![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)))))),
% 0.19/0.41 inference(quant_intro,[status(thm)],[137])).
% 0.19/0.41 tff(139,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/sandbox2/benchmark/theBenchmark.p','premise_2')).
% 0.19/0.41 tff(140,plain,
% 0.19/0.41 (![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)))))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[139, 138])).
% 0.19/0.41 tff(141,plain,
% 0.19/0.41 (![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)))))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[140, 136])).
% 0.19/0.41 tff(142,plain,(
% 0.19/0.41 ![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)))))),
% 0.19/0.41 inference(skolemize,[status(sab)],[141])).
% 0.19/0.41 tff(143,plain,
% 0.19/0.41 (![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))))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[142, 135])).
% 0.19/0.41 tff(144,plain,
% 0.19/0.41 (![X: $i] : (exemplifies_property(existence, X) | (~object(X)) | (~is_the(X, none_greater)) | (~((~object(tptp_fun_Y_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X))))))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[143, 133])).
% 0.19/0.41 tff(145,plain,
% 0.19/0.41 (![X: $i] : (exemplifies_property(existence, X) | (~object(X)) | (~is_the(X, none_greater)) | (~((~object(tptp_fun_Y_3(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(X))))))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[144, 131])).
% 0.19/0.41 tff(146,plain,
% 0.19/0.41 (((~![X: $i] : (exemplifies_property(existence, X) | (~object(X)) | (~is_the(X, none_greater)) | (~((~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, god) | (~object(god)) | (~is_the(god, none_greater)) | (~((~object(tptp_fun_Y_3(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(god), god)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(god))))))) <=> ((~![X: $i] : (exemplifies_property(existence, X) | (~object(X)) | (~is_the(X, none_greater)) | (~((~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, god) | (~object(god)) | (~is_the(god, none_greater)) | (~((~object(tptp_fun_Y_3(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(god), god)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(god))))))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(147,plain,
% 0.19/0.41 ((~![X: $i] : (exemplifies_property(existence, X) | (~object(X)) | (~is_the(X, none_greater)) | (~((~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, god) | (~object(god)) | (~is_the(god, none_greater)) | (~((~object(tptp_fun_Y_3(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(god), god)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(god))))))),
% 0.19/0.41 inference(quant_inst,[status(thm)],[])).
% 0.19/0.41 tff(148,plain,
% 0.19/0.41 ((~![X: $i] : (exemplifies_property(existence, X) | (~object(X)) | (~is_the(X, none_greater)) | (~((~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, god) | (~object(god)) | (~is_the(god, none_greater)) | (~((~object(tptp_fun_Y_3(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(god), god)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(god)))))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[147, 146])).
% 0.19/0.41 tff(149,plain,
% 0.19/0.41 ((~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)))))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[148, 145, 4, 129])).
% 0.19/0.41 tff(150,plain,
% 0.19/0.41 (~((~object(tptp_fun_Y_3(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(god), god)) | (~exemplifies_property(conceivable, tptp_fun_Y_3(god))))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[149, 23])).
% 0.19/0.41 tff(151,plain,
% 0.19/0.41 (((~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))),
% 0.19/0.41 inference(tautology,[status(thm)],[])).
% 0.19/0.41 tff(152,plain,
% 0.19/0.41 (exemplifies_property(conceivable, tptp_fun_Y_3(god))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[151, 150])).
% 0.19/0.41 tff(153,plain,
% 0.19/0.41 (((~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)),
% 0.19/0.41 inference(tautology,[status(thm)],[])).
% 0.19/0.41 tff(154,plain,
% 0.19/0.41 (exemplifies_relation(greater_than, tptp_fun_Y_3(god), god)),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[153, 150])).
% 0.19/0.41 tff(155,plain,
% 0.19/0.41 (((~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))),
% 0.19/0.41 inference(tautology,[status(thm)],[])).
% 0.19/0.41 tff(156,plain,
% 0.19/0.41 (object(tptp_fun_Y_3(god))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[155, 150])).
% 0.19/0.41 tff(157,plain,
% 0.19/0.41 (((~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, god)))) | ((~object(tptp_fun_Y_3(god))) | (~exemplifies_property(conceivable, tptp_fun_Y_3(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(god), god)))) <=> ((~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, god)))) | (~object(tptp_fun_Y_3(god))) | (~exemplifies_property(conceivable, tptp_fun_Y_3(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(god), god)))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(158,plain,
% 0.19/0.41 ((~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, god)))) | ((~object(tptp_fun_Y_3(god))) | (~exemplifies_property(conceivable, tptp_fun_Y_3(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(god), god)))),
% 0.19/0.41 inference(quant_inst,[status(thm)],[])).
% 0.19/0.41 tff(159,plain,
% 0.19/0.41 ((~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, god)))) | (~object(tptp_fun_Y_3(god))) | (~exemplifies_property(conceivable, tptp_fun_Y_3(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_3(god), god))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[158, 157])).
% 0.19/0.41 tff(160,plain,
% 0.19/0.41 ($false),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[159, 156, 154, 152, 126])).
% 0.19/0.41 % SZS output end Proof
% 0.19/0.42 % E exiting
%------------------------------------------------------------------------------