TSTP Solution File: PHI014+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : PHI014+1 : TPTP v8.1.0. Released v7.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 18 13:31:45 EDT 2022
% Result : Theorem 0.14s 0.39s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : PHI014+1 : TPTP v8.1.0. Released v7.2.0.
% 0.12/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Sep 2 17:19:33 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.35 Usage: tptp [options] [-file:]file
% 0.14/0.35 -h, -? prints this message.
% 0.14/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.35 -m, -model generate model.
% 0.14/0.35 -p, -proof generate proof.
% 0.14/0.35 -c, -core generate unsat core of named formulas.
% 0.14/0.35 -st, -statistics display statistics.
% 0.14/0.35 -t:timeout set timeout (in second).
% 0.14/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.35 -<param>:<value> configuration parameter and value.
% 0.14/0.35 -o:<output-file> file to place output in.
% 0.14/0.39 % SZS status Theorem
% 0.14/0.39 % SZS output start Proof
% 0.14/0.39 tff(is_the_type, type, (
% 0.14/0.39 is_the: ( $i * $i ) > $o)).
% 0.14/0.39 tff(none_greater_type, type, (
% 0.14/0.39 none_greater: $i)).
% 0.14/0.39 tff(object_type, type, (
% 0.14/0.39 object: $i > $o)).
% 0.14/0.39 tff(exemplifies_property_type, type, (
% 0.14/0.39 exemplifies_property: ( $i * $i ) > $o)).
% 0.14/0.39 tff(god_type, type, (
% 0.14/0.39 god: $i)).
% 0.14/0.39 tff(property_type, type, (
% 0.14/0.39 property: $i > $o)).
% 0.14/0.39 tff(exemplifies_relation_type, type, (
% 0.14/0.39 exemplifies_relation: ( $i * $i * $i ) > $o)).
% 0.14/0.39 tff(greater_than_type, type, (
% 0.14/0.39 greater_than: $i)).
% 0.14/0.39 tff(conceivable_type, type, (
% 0.14/0.39 conceivable: $i)).
% 0.14/0.39 tff(tptp_fun_Y_0_type, type, (
% 0.14/0.39 tptp_fun_Y_0: $i > $i)).
% 0.14/0.39 tff(existence_type, type, (
% 0.14/0.39 existence: $i)).
% 0.14/0.39 tff(1,assumption,(![Y: $i] : ((~object(Y)) | (~is_the(Y, none_greater)))), introduced(assumption)).
% 0.14/0.39 tff(2,plain,
% 0.14/0.39 (is_the(god, none_greater) <=> is_the(god, none_greater)),
% 0.14/0.39 inference(rewrite,[status(thm)],[])).
% 0.14/0.39 tff(3,axiom,(is_the(god, none_greater)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','definition_god')).
% 0.14/0.39 tff(4,plain,
% 0.14/0.39 (is_the(god, none_greater)),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.14/0.39 tff(5,plain,
% 0.14/0.39 (^[X: $i, F: $i] : refl(((~is_the(X, F)) | (~((~property(F)) | (~object(X))))) <=> ((~is_the(X, F)) | (~((~property(F)) | (~object(X))))))),
% 0.14/0.39 inference(bind,[status(th)],[])).
% 0.14/0.39 tff(6,plain,
% 0.14/0.39 (![X: $i, F: $i] : ((~is_the(X, F)) | (~((~property(F)) | (~object(X))))) <=> ![X: $i, F: $i] : ((~is_the(X, F)) | (~((~property(F)) | (~object(X)))))),
% 0.14/0.39 inference(quant_intro,[status(thm)],[5])).
% 0.14/0.39 tff(7,plain,
% 0.14/0.39 (^[X: $i, F: $i] : rewrite(((~is_the(X, F)) | (property(F) & object(X))) <=> ((~is_the(X, F)) | (~((~property(F)) | (~object(X))))))),
% 0.14/0.39 inference(bind,[status(th)],[])).
% 0.14/0.39 tff(8,plain,
% 0.14/0.39 (![X: $i, F: $i] : ((~is_the(X, F)) | (property(F) & object(X))) <=> ![X: $i, F: $i] : ((~is_the(X, F)) | (~((~property(F)) | (~object(X)))))),
% 0.14/0.39 inference(quant_intro,[status(thm)],[7])).
% 0.14/0.39 tff(9,plain,
% 0.14/0.39 (![X: $i, F: $i] : ((~is_the(X, F)) | (property(F) & object(X))) <=> ![X: $i, F: $i] : ((~is_the(X, F)) | (property(F) & object(X)))),
% 0.14/0.39 inference(rewrite,[status(thm)],[])).
% 0.14/0.39 tff(10,plain,
% 0.14/0.39 (^[X: $i, F: $i] : rewrite((is_the(X, F) => (property(F) & object(X))) <=> ((~is_the(X, F)) | (property(F) & object(X))))),
% 0.14/0.39 inference(bind,[status(th)],[])).
% 0.14/0.39 tff(11,plain,
% 0.14/0.39 (![X: $i, F: $i] : (is_the(X, F) => (property(F) & object(X))) <=> ![X: $i, F: $i] : ((~is_the(X, F)) | (property(F) & object(X)))),
% 0.14/0.39 inference(quant_intro,[status(thm)],[10])).
% 0.14/0.39 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')).
% 0.14/0.39 tff(13,plain,
% 0.14/0.39 (![X: $i, F: $i] : ((~is_the(X, F)) | (property(F) & object(X)))),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[12, 11])).
% 0.14/0.39 tff(14,plain,
% 0.14/0.39 (![X: $i, F: $i] : ((~is_the(X, F)) | (property(F) & object(X)))),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[13, 9])).
% 0.14/0.39 tff(15,plain,(
% 0.14/0.39 ![X: $i, F: $i] : ((~is_the(X, F)) | (property(F) & object(X)))),
% 0.14/0.39 inference(skolemize,[status(sab)],[14])).
% 0.14/0.39 tff(16,plain,
% 0.14/0.39 (![X: $i, F: $i] : ((~is_the(X, F)) | (~((~property(F)) | (~object(X)))))),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[15, 8])).
% 0.14/0.39 tff(17,plain,
% 0.14/0.39 (![X: $i, F: $i] : ((~is_the(X, F)) | (~((~property(F)) | (~object(X)))))),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[16, 6])).
% 0.14/0.39 tff(18,plain,
% 0.14/0.39 (((~![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)))))),
% 0.14/0.39 inference(rewrite,[status(thm)],[])).
% 0.14/0.39 tff(19,plain,
% 0.14/0.39 ((~![X: $i, F: $i] : ((~is_the(X, F)) | (~((~property(F)) | (~object(X)))))) | ((~is_the(god, none_greater)) | (~((~property(none_greater)) | (~object(god)))))),
% 0.14/0.39 inference(quant_inst,[status(thm)],[])).
% 0.14/0.39 tff(20,plain,
% 0.14/0.39 ((~![X: $i, F: $i] : ((~is_the(X, F)) | (~((~property(F)) | (~object(X)))))) | (~is_the(god, none_greater)) | (~((~property(none_greater)) | (~object(god))))),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[19, 18])).
% 0.14/0.40 tff(21,plain,
% 0.14/0.40 (~((~property(none_greater)) | (~object(god)))),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[20, 17, 4])).
% 0.14/0.40 tff(22,plain,
% 0.14/0.40 (((~property(none_greater)) | (~object(god))) | object(god)),
% 0.14/0.40 inference(tautology,[status(thm)],[])).
% 0.14/0.40 tff(23,plain,
% 0.14/0.40 (object(god)),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[22, 21])).
% 0.14/0.40 tff(24,plain,
% 0.14/0.40 (((~![Y: $i] : ((~object(Y)) | (~is_the(Y, none_greater)))) | ((~object(god)) | (~is_the(god, none_greater)))) <=> ((~![Y: $i] : ((~object(Y)) | (~is_the(Y, none_greater)))) | (~object(god)) | (~is_the(god, none_greater)))),
% 0.14/0.40 inference(rewrite,[status(thm)],[])).
% 0.14/0.40 tff(25,plain,
% 0.14/0.40 ((~![Y: $i] : ((~object(Y)) | (~is_the(Y, none_greater)))) | ((~object(god)) | (~is_the(god, none_greater)))),
% 0.14/0.40 inference(quant_inst,[status(thm)],[])).
% 0.14/0.40 tff(26,plain,
% 0.14/0.40 ((~![Y: $i] : ((~object(Y)) | (~is_the(Y, none_greater)))) | (~object(god)) | (~is_the(god, none_greater))),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[25, 24])).
% 0.14/0.40 tff(27,plain,
% 0.14/0.40 ($false),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[26, 4, 23, 1])).
% 0.14/0.40 tff(28,plain,(~![Y: $i] : ((~object(Y)) | (~is_the(Y, none_greater)))), inference(lemma,lemma(discharge,[]))).
% 0.14/0.40 tff(29,plain,
% 0.14/0.40 (((~property(none_greater)) | (~object(god))) | property(none_greater)),
% 0.14/0.40 inference(tautology,[status(thm)],[])).
% 0.14/0.40 tff(30,plain,
% 0.14/0.40 (property(none_greater)),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[29, 21])).
% 0.14/0.40 tff(31,plain,
% 0.14/0.40 (^[F: $i] : rewrite((![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))) | (~property(F)) | ![Y: $i] : ((~object(Y)) | (~is_the(Y, F)))) <=> ((~property(F)) | ![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))) | ![Y: $i] : ((~object(Y)) | (~is_the(Y, F)))))),
% 0.14/0.40 inference(bind,[status(th)],[])).
% 0.14/0.40 tff(32,plain,
% 0.14/0.40 (![F: $i] : (![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))) | (~property(F)) | ![Y: $i] : ((~object(Y)) | (~is_the(Y, F)))) <=> ![F: $i] : ((~property(F)) | ![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))) | ![Y: $i] : ((~object(Y)) | (~is_the(Y, F))))),
% 0.14/0.40 inference(quant_intro,[status(thm)],[31])).
% 0.14/0.40 tff(33,plain,
% 0.14/0.40 (^[F: $i] : refl((![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))) | (~property(F)) | ![Y: $i] : ((~object(Y)) | (~is_the(Y, F)))) <=> (![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))) | (~property(F)) | ![Y: $i] : ((~object(Y)) | (~is_the(Y, F)))))),
% 0.14/0.40 inference(bind,[status(th)],[])).
% 0.14/0.40 tff(34,plain,
% 0.14/0.40 (![F: $i] : (![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))) | (~property(F)) | ![Y: $i] : ((~object(Y)) | (~is_the(Y, F)))) <=> ![F: $i] : (![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))) | (~property(F)) | ![Y: $i] : ((~object(Y)) | (~is_the(Y, F))))),
% 0.14/0.40 inference(quant_intro,[status(thm)],[33])).
% 0.14/0.40 tff(35,plain,
% 0.14/0.40 (^[F: $i] : rewrite((![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))) | (~property(F)) | ![Y: $i] : ((~object(Y)) | (~is_the(Y, F)))) <=> (![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))) | (~property(F)) | ![Y: $i] : ((~object(Y)) | (~is_the(Y, F)))))),
% 0.14/0.40 inference(bind,[status(th)],[])).
% 0.14/0.40 tff(36,plain,
% 0.14/0.40 (![F: $i] : (![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))) | (~property(F)) | ![Y: $i] : ((~object(Y)) | (~is_the(Y, F)))) <=> ![F: $i] : (![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))) | (~property(F)) | ![Y: $i] : ((~object(Y)) | (~is_the(Y, F))))),
% 0.14/0.40 inference(quant_intro,[status(thm)],[35])).
% 0.14/0.40 tff(37,plain,
% 0.14/0.40 (![F: $i] : (![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))) | (~property(F)) | ![Y: $i] : ((~object(Y)) | (~is_the(Y, F)))) <=> ![F: $i] : (![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))) | (~property(F)) | ![Y: $i] : ((~object(Y)) | (~is_the(Y, F))))),
% 0.14/0.40 inference(transitivity,[status(thm)],[36, 34])).
% 0.14/0.40 tff(38,plain,
% 0.14/0.40 (^[F: $i] : trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(rewrite((object(Y) & is_the(Y, F)) <=> (~((~object(Y)) | (~is_the(Y, F))))), ((~(object(Y) & is_the(Y, F))) <=> (~(~((~object(Y)) | (~is_the(Y, F))))))), rewrite((~(~((~object(Y)) | (~is_the(Y, F))))) <=> ((~object(Y)) | (~is_the(Y, F)))), ((~(object(Y) & is_the(Y, F))) <=> ((~object(Y)) | (~is_the(Y, F)))))), (![Y: $i] : (~(object(Y) & is_the(Y, F))) <=> ![Y: $i] : ((~object(Y)) | (~is_the(Y, F))))), ((![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))) | (~property(F)) | ![Y: $i] : (~(object(Y) & is_the(Y, F)))) <=> (![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))) | (~property(F)) | ![Y: $i] : ((~object(Y)) | (~is_the(Y, F)))))), rewrite((![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))) | (~property(F)) | ![Y: $i] : ((~object(Y)) | (~is_the(Y, F)))) <=> (![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))) | (~property(F)) | ![Y: $i] : ((~object(Y)) | (~is_the(Y, F))))), ((![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))) | (~property(F)) | ![Y: $i] : (~(object(Y) & is_the(Y, F)))) <=> (![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))) | (~property(F)) | ![Y: $i] : ((~object(Y)) | (~is_the(Y, F))))))),
% 0.14/0.40 inference(bind,[status(th)],[])).
% 0.14/0.40 tff(39,plain,
% 0.14/0.40 (![F: $i] : (![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))) | (~property(F)) | ![Y: $i] : (~(object(Y) & is_the(Y, F)))) <=> ![F: $i] : (![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))) | (~property(F)) | ![Y: $i] : ((~object(Y)) | (~is_the(Y, F))))),
% 0.14/0.40 inference(quant_intro,[status(thm)],[38])).
% 0.14/0.40 tff(40,plain,
% 0.14/0.40 (^[F: $i] : rewrite((![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))) | ![Y: $i] : (~(object(Y) & is_the(Y, F))) | (~property(F))) <=> (![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))) | (~property(F)) | ![Y: $i] : (~(object(Y) & is_the(Y, F)))))),
% 0.14/0.40 inference(bind,[status(th)],[])).
% 0.14/0.40 tff(41,plain,
% 0.14/0.40 (![F: $i] : (![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))) | ![Y: $i] : (~(object(Y) & is_the(Y, F))) | (~property(F))) <=> ![F: $i] : (![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))) | (~property(F)) | ![Y: $i] : (~(object(Y) & is_the(Y, F))))),
% 0.14/0.40 inference(quant_intro,[status(thm)],[40])).
% 0.14/0.40 tff(42,plain,
% 0.14/0.40 (![F: $i] : (![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))) | (~?[Y: $i] : (object(Y) & is_the(Y, F))) | (~property(F))) <=> ![F: $i] : (![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))) | (~?[Y: $i] : (object(Y) & is_the(Y, F))) | (~property(F)))),
% 0.14/0.40 inference(rewrite,[status(thm)],[])).
% 0.14/0.40 tff(43,plain,
% 0.14/0.40 (^[F: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[Z: $i] : trans(monotonicity(rewrite((is_the(Z, F) => exemplifies_property(F, Z)) <=> ((~is_the(Z, F)) | exemplifies_property(F, Z))), ((object(Z) => (is_the(Z, F) => exemplifies_property(F, Z))) <=> (object(Z) => ((~is_the(Z, F)) | exemplifies_property(F, Z))))), rewrite((object(Z) => ((~is_the(Z, F)) | exemplifies_property(F, Z))) <=> (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z)))), ((object(Z) => (is_the(Z, F) => exemplifies_property(F, Z))) <=> (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z)))))), (![Z: $i] : (object(Z) => (is_the(Z, F) => exemplifies_property(F, Z))) <=> ![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))))), ((?[Y: $i] : (object(Y) & is_the(Y, F)) => ![Z: $i] : (object(Z) => (is_the(Z, F) => exemplifies_property(F, Z)))) <=> (?[Y: $i] : (object(Y) & is_the(Y, F)) => ![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z)))))), rewrite((?[Y: $i] : (object(Y) & is_the(Y, F)) => ![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z)))) <=> ((~?[Y: $i] : (object(Y) & is_the(Y, F))) | ![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))))), ((?[Y: $i] : (object(Y) & is_the(Y, F)) => ![Z: $i] : (object(Z) => (is_the(Z, F) => exemplifies_property(F, Z)))) <=> ((~?[Y: $i] : (object(Y) & is_the(Y, F))) | ![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z)))))), ((property(F) => (?[Y: $i] : (object(Y) & is_the(Y, F)) => ![Z: $i] : (object(Z) => (is_the(Z, F) => exemplifies_property(F, Z))))) <=> (property(F) => ((~?[Y: $i] : (object(Y) & is_the(Y, F))) | ![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))))))), rewrite((property(F) => ((~?[Y: $i] : (object(Y) & is_the(Y, F))) | ![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))))) <=> (![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))) | (~?[Y: $i] : (object(Y) & is_the(Y, F))) | (~property(F)))), ((property(F) => (?[Y: $i] : (object(Y) & is_the(Y, F)) => ![Z: $i] : (object(Z) => (is_the(Z, F) => exemplifies_property(F, Z))))) <=> (![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))) | (~?[Y: $i] : (object(Y) & is_the(Y, F))) | (~property(F)))))),
% 0.14/0.40 inference(bind,[status(th)],[])).
% 0.14/0.40 tff(44,plain,
% 0.14/0.40 (![F: $i] : (property(F) => (?[Y: $i] : (object(Y) & is_the(Y, F)) => ![Z: $i] : (object(Z) => (is_the(Z, F) => exemplifies_property(F, Z))))) <=> ![F: $i] : (![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))) | (~?[Y: $i] : (object(Y) & is_the(Y, F))) | (~property(F)))),
% 0.14/0.40 inference(quant_intro,[status(thm)],[43])).
% 0.14/0.40 tff(45,axiom,(![F: $i] : (property(F) => (?[Y: $i] : (object(Y) & is_the(Y, F)) => ![Z: $i] : (object(Z) => (is_the(Z, F) => exemplifies_property(F, Z)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','description_theorem_2')).
% 0.14/0.40 tff(46,plain,
% 0.14/0.40 (![F: $i] : (![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))) | (~?[Y: $i] : (object(Y) & is_the(Y, F))) | (~property(F)))),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[45, 44])).
% 0.14/0.40 tff(47,plain,
% 0.14/0.40 (![F: $i] : (![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))) | (~?[Y: $i] : (object(Y) & is_the(Y, F))) | (~property(F)))),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[46, 42])).
% 0.14/0.40 tff(48,plain,(
% 0.14/0.40 ![F: $i] : (![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))) | ![Y: $i] : (~(object(Y) & is_the(Y, F))) | (~property(F)))),
% 0.14/0.40 inference(skolemize,[status(sab)],[47])).
% 0.14/0.40 tff(49,plain,
% 0.14/0.40 (![F: $i] : (![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))) | (~property(F)) | ![Y: $i] : (~(object(Y) & is_the(Y, F))))),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[48, 41])).
% 0.14/0.40 tff(50,plain,
% 0.14/0.40 (![F: $i] : (![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))) | (~property(F)) | ![Y: $i] : ((~object(Y)) | (~is_the(Y, F))))),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[49, 39])).
% 0.14/0.40 tff(51,plain,
% 0.14/0.40 (![F: $i] : (![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))) | (~property(F)) | ![Y: $i] : ((~object(Y)) | (~is_the(Y, F))))),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[50, 37])).
% 0.14/0.40 tff(52,plain,
% 0.14/0.40 (![F: $i] : ((~property(F)) | ![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))) | ![Y: $i] : ((~object(Y)) | (~is_the(Y, F))))),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[51, 32])).
% 0.14/0.40 tff(53,plain,
% 0.14/0.40 (((~![F: $i] : ((~property(F)) | ![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))) | ![Y: $i] : ((~object(Y)) | (~is_the(Y, F))))) | ((~property(none_greater)) | ![Y: $i] : ((~object(Y)) | (~is_the(Y, none_greater))) | ![Z: $i] : (exemplifies_property(none_greater, Z) | (~object(Z)) | (~is_the(Z, none_greater))))) <=> ((~![F: $i] : ((~property(F)) | ![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))) | ![Y: $i] : ((~object(Y)) | (~is_the(Y, F))))) | (~property(none_greater)) | ![Y: $i] : ((~object(Y)) | (~is_the(Y, none_greater))) | ![Z: $i] : (exemplifies_property(none_greater, Z) | (~object(Z)) | (~is_the(Z, none_greater))))),
% 0.14/0.40 inference(rewrite,[status(thm)],[])).
% 0.14/0.40 tff(54,plain,
% 0.14/0.40 (((~property(none_greater)) | ![Z: $i] : (exemplifies_property(none_greater, Z) | (~object(Z)) | (~is_the(Z, none_greater))) | ![Y: $i] : ((~object(Y)) | (~is_the(Y, none_greater)))) <=> ((~property(none_greater)) | ![Y: $i] : ((~object(Y)) | (~is_the(Y, none_greater))) | ![Z: $i] : (exemplifies_property(none_greater, Z) | (~object(Z)) | (~is_the(Z, none_greater))))),
% 0.14/0.40 inference(rewrite,[status(thm)],[])).
% 0.14/0.40 tff(55,plain,
% 0.14/0.40 (^[Z: $i] : rewrite((exemplifies_property(none_greater, Z) | (~is_the(Z, none_greater)) | (~object(Z))) <=> (exemplifies_property(none_greater, Z) | (~object(Z)) | (~is_the(Z, none_greater))))),
% 0.14/0.40 inference(bind,[status(th)],[])).
% 0.14/0.40 tff(56,plain,
% 0.14/0.40 (![Z: $i] : (exemplifies_property(none_greater, Z) | (~is_the(Z, none_greater)) | (~object(Z))) <=> ![Z: $i] : (exemplifies_property(none_greater, Z) | (~object(Z)) | (~is_the(Z, none_greater)))),
% 0.14/0.40 inference(quant_intro,[status(thm)],[55])).
% 0.14/0.40 tff(57,plain,
% 0.14/0.40 (((~property(none_greater)) | ![Z: $i] : (exemplifies_property(none_greater, Z) | (~is_the(Z, none_greater)) | (~object(Z))) | ![Y: $i] : ((~object(Y)) | (~is_the(Y, none_greater)))) <=> ((~property(none_greater)) | ![Z: $i] : (exemplifies_property(none_greater, Z) | (~object(Z)) | (~is_the(Z, none_greater))) | ![Y: $i] : ((~object(Y)) | (~is_the(Y, none_greater))))),
% 0.14/0.40 inference(monotonicity,[status(thm)],[56])).
% 0.14/0.40 tff(58,plain,
% 0.14/0.40 (((~property(none_greater)) | ![Z: $i] : (exemplifies_property(none_greater, Z) | (~is_the(Z, none_greater)) | (~object(Z))) | ![Y: $i] : ((~object(Y)) | (~is_the(Y, none_greater)))) <=> ((~property(none_greater)) | ![Y: $i] : ((~object(Y)) | (~is_the(Y, none_greater))) | ![Z: $i] : (exemplifies_property(none_greater, Z) | (~object(Z)) | (~is_the(Z, none_greater))))),
% 0.14/0.40 inference(transitivity,[status(thm)],[57, 54])).
% 0.14/0.40 tff(59,plain,
% 0.14/0.40 (((~![F: $i] : ((~property(F)) | ![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))) | ![Y: $i] : ((~object(Y)) | (~is_the(Y, F))))) | ((~property(none_greater)) | ![Z: $i] : (exemplifies_property(none_greater, Z) | (~is_the(Z, none_greater)) | (~object(Z))) | ![Y: $i] : ((~object(Y)) | (~is_the(Y, none_greater))))) <=> ((~![F: $i] : ((~property(F)) | ![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))) | ![Y: $i] : ((~object(Y)) | (~is_the(Y, F))))) | ((~property(none_greater)) | ![Y: $i] : ((~object(Y)) | (~is_the(Y, none_greater))) | ![Z: $i] : (exemplifies_property(none_greater, Z) | (~object(Z)) | (~is_the(Z, none_greater)))))),
% 0.14/0.40 inference(monotonicity,[status(thm)],[58])).
% 0.14/0.40 tff(60,plain,
% 0.14/0.40 (((~![F: $i] : ((~property(F)) | ![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))) | ![Y: $i] : ((~object(Y)) | (~is_the(Y, F))))) | ((~property(none_greater)) | ![Z: $i] : (exemplifies_property(none_greater, Z) | (~is_the(Z, none_greater)) | (~object(Z))) | ![Y: $i] : ((~object(Y)) | (~is_the(Y, none_greater))))) <=> ((~![F: $i] : ((~property(F)) | ![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))) | ![Y: $i] : ((~object(Y)) | (~is_the(Y, F))))) | (~property(none_greater)) | ![Y: $i] : ((~object(Y)) | (~is_the(Y, none_greater))) | ![Z: $i] : (exemplifies_property(none_greater, Z) | (~object(Z)) | (~is_the(Z, none_greater))))),
% 0.14/0.40 inference(transitivity,[status(thm)],[59, 53])).
% 0.14/0.40 tff(61,plain,
% 0.14/0.40 ((~![F: $i] : ((~property(F)) | ![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))) | ![Y: $i] : ((~object(Y)) | (~is_the(Y, F))))) | ((~property(none_greater)) | ![Z: $i] : (exemplifies_property(none_greater, Z) | (~is_the(Z, none_greater)) | (~object(Z))) | ![Y: $i] : ((~object(Y)) | (~is_the(Y, none_greater))))),
% 0.14/0.40 inference(quant_inst,[status(thm)],[])).
% 0.14/0.40 tff(62,plain,
% 0.14/0.40 ((~![F: $i] : ((~property(F)) | ![Z: $i] : (exemplifies_property(F, Z) | (~is_the(Z, F)) | (~object(Z))) | ![Y: $i] : ((~object(Y)) | (~is_the(Y, F))))) | (~property(none_greater)) | ![Y: $i] : ((~object(Y)) | (~is_the(Y, none_greater))) | ![Z: $i] : (exemplifies_property(none_greater, Z) | (~object(Z)) | (~is_the(Z, none_greater)))),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[61, 60])).
% 0.14/0.40 tff(63,plain,
% 0.14/0.40 (![Y: $i] : ((~object(Y)) | (~is_the(Y, none_greater))) | ![Z: $i] : (exemplifies_property(none_greater, Z) | (~object(Z)) | (~is_the(Z, none_greater)))),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[62, 52, 30])).
% 0.14/0.40 tff(64,plain,
% 0.14/0.40 (![Z: $i] : (exemplifies_property(none_greater, Z) | (~object(Z)) | (~is_the(Z, none_greater)))),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[63, 28])).
% 0.14/0.40 tff(65,assumption,(![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, god)))), introduced(assumption)).
% 0.14/0.40 tff(66,plain,
% 0.14/0.40 ((~exemplifies_property(existence, god)) <=> (~exemplifies_property(existence, god))),
% 0.14/0.40 inference(rewrite,[status(thm)],[])).
% 0.14/0.40 tff(67,axiom,(~exemplifies_property(existence, god)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','god_exists')).
% 0.14/0.40 tff(68,plain,
% 0.14/0.40 (~exemplifies_property(existence, god)),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[67, 66])).
% 0.14/0.40 tff(69,plain,
% 0.14/0.40 (^[X: $i] : refl((exemplifies_property(existence, X) | (~object(X)) | (~is_the(X, none_greater)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X)))))) <=> (exemplifies_property(existence, X) | (~object(X)) | (~is_the(X, none_greater)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X)))))))),
% 0.14/0.40 inference(bind,[status(th)],[])).
% 0.14/0.40 tff(70,plain,
% 0.14/0.40 (![X: $i] : (exemplifies_property(existence, X) | (~object(X)) | (~is_the(X, none_greater)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X)))))) <=> ![X: $i] : (exemplifies_property(existence, X) | (~object(X)) | (~is_the(X, none_greater)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X))))))),
% 0.14/0.40 inference(quant_intro,[status(thm)],[69])).
% 0.14/0.40 tff(71,plain,
% 0.14/0.40 (^[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_0(X)) & exemplifies_relation(greater_than, tptp_fun_Y_0(X), X) & exemplifies_property(conceivable, tptp_fun_Y_0(X))) <=> (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X)))))), (((~object(X)) | (~(is_the(X, none_greater) & (~exemplifies_property(existence, X)))) | (object(tptp_fun_Y_0(X)) & exemplifies_relation(greater_than, tptp_fun_Y_0(X), X) & exemplifies_property(conceivable, tptp_fun_Y_0(X)))) <=> ((~object(X)) | ((~is_the(X, none_greater)) | exemplifies_property(existence, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X)))))))), rewrite(((~object(X)) | ((~is_the(X, none_greater)) | exemplifies_property(existence, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X)))))) <=> (exemplifies_property(existence, X) | (~object(X)) | (~is_the(X, none_greater)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X))))))), (((~object(X)) | (~(is_the(X, none_greater) & (~exemplifies_property(existence, X)))) | (object(tptp_fun_Y_0(X)) & exemplifies_relation(greater_than, tptp_fun_Y_0(X), X) & exemplifies_property(conceivable, tptp_fun_Y_0(X)))) <=> (exemplifies_property(existence, X) | (~object(X)) | (~is_the(X, none_greater)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X))))))))),
% 0.14/0.41 inference(bind,[status(th)],[])).
% 0.14/0.41 tff(72,plain,
% 0.14/0.41 (![X: $i] : ((~object(X)) | (~(is_the(X, none_greater) & (~exemplifies_property(existence, X)))) | (object(tptp_fun_Y_0(X)) & exemplifies_relation(greater_than, tptp_fun_Y_0(X), X) & exemplifies_property(conceivable, tptp_fun_Y_0(X)))) <=> ![X: $i] : (exemplifies_property(existence, X) | (~object(X)) | (~is_the(X, none_greater)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X))))))),
% 0.14/0.41 inference(quant_intro,[status(thm)],[71])).
% 0.14/0.41 tff(73,plain,
% 0.14/0.41 (^[X: $i] : rewrite(((~object(X)) | (object(tptp_fun_Y_0(X)) & exemplifies_relation(greater_than, tptp_fun_Y_0(X), X) & exemplifies_property(conceivable, tptp_fun_Y_0(X))) | (~(is_the(X, none_greater) & (~exemplifies_property(existence, X))))) <=> ((~object(X)) | (~(is_the(X, none_greater) & (~exemplifies_property(existence, X)))) | (object(tptp_fun_Y_0(X)) & exemplifies_relation(greater_than, tptp_fun_Y_0(X), X) & exemplifies_property(conceivable, tptp_fun_Y_0(X)))))),
% 0.14/0.41 inference(bind,[status(th)],[])).
% 0.14/0.41 tff(74,plain,
% 0.14/0.41 (![X: $i] : ((~object(X)) | (object(tptp_fun_Y_0(X)) & exemplifies_relation(greater_than, tptp_fun_Y_0(X), X) & exemplifies_property(conceivable, tptp_fun_Y_0(X))) | (~(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_0(X)) & exemplifies_relation(greater_than, tptp_fun_Y_0(X), X) & exemplifies_property(conceivable, tptp_fun_Y_0(X))))),
% 0.14/0.41 inference(quant_intro,[status(thm)],[73])).
% 0.14/0.41 tff(75,plain,
% 0.14/0.41 (![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)))))),
% 0.14/0.41 inference(rewrite,[status(thm)],[])).
% 0.14/0.41 tff(76,plain,
% 0.14/0.41 (^[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)))))))),
% 0.14/0.41 inference(bind,[status(th)],[])).
% 0.14/0.41 tff(77,plain,
% 0.14/0.41 (![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)))))),
% 0.14/0.41 inference(quant_intro,[status(thm)],[76])).
% 0.14/0.41 tff(78,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')).
% 0.14/0.41 tff(79,plain,
% 0.14/0.41 (![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)))))),
% 0.14/0.41 inference(modus_ponens,[status(thm)],[78, 77])).
% 0.14/0.41 tff(80,plain,
% 0.14/0.41 (![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)))))),
% 0.14/0.41 inference(modus_ponens,[status(thm)],[79, 75])).
% 0.14/0.41 tff(81,plain,(
% 0.14/0.41 ![X: $i] : ((~object(X)) | (object(tptp_fun_Y_0(X)) & exemplifies_relation(greater_than, tptp_fun_Y_0(X), X) & exemplifies_property(conceivable, tptp_fun_Y_0(X))) | (~(is_the(X, none_greater) & (~exemplifies_property(existence, X)))))),
% 0.14/0.41 inference(skolemize,[status(sab)],[80])).
% 0.14/0.41 tff(82,plain,
% 0.14/0.41 (![X: $i] : ((~object(X)) | (~(is_the(X, none_greater) & (~exemplifies_property(existence, X)))) | (object(tptp_fun_Y_0(X)) & exemplifies_relation(greater_than, tptp_fun_Y_0(X), X) & exemplifies_property(conceivable, tptp_fun_Y_0(X))))),
% 0.14/0.41 inference(modus_ponens,[status(thm)],[81, 74])).
% 0.14/0.41 tff(83,plain,
% 0.14/0.41 (![X: $i] : (exemplifies_property(existence, X) | (~object(X)) | (~is_the(X, none_greater)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X))))))),
% 0.14/0.41 inference(modus_ponens,[status(thm)],[82, 72])).
% 0.14/0.41 tff(84,plain,
% 0.14/0.41 (![X: $i] : (exemplifies_property(existence, X) | (~object(X)) | (~is_the(X, none_greater)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X))))))),
% 0.14/0.41 inference(modus_ponens,[status(thm)],[83, 70])).
% 0.14/0.41 tff(85,plain,
% 0.14/0.41 (((~![X: $i] : (exemplifies_property(existence, X) | (~object(X)) | (~is_the(X, none_greater)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X))))))) | (exemplifies_property(existence, god) | (~is_the(god, none_greater)) | (~object(god)) | (~((~object(tptp_fun_Y_0(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(god), god)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(god))))))) <=> ((~![X: $i] : (exemplifies_property(existence, X) | (~object(X)) | (~is_the(X, none_greater)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X))))))) | exemplifies_property(existence, god) | (~is_the(god, none_greater)) | (~object(god)) | (~((~object(tptp_fun_Y_0(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(god), god)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(god))))))),
% 0.14/0.41 inference(rewrite,[status(thm)],[])).
% 0.14/0.41 tff(86,plain,
% 0.14/0.41 ((exemplifies_property(existence, god) | (~object(god)) | (~is_the(god, none_greater)) | (~((~object(tptp_fun_Y_0(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(god), god)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(god)))))) <=> (exemplifies_property(existence, god) | (~is_the(god, none_greater)) | (~object(god)) | (~((~object(tptp_fun_Y_0(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(god), god)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(god))))))),
% 0.14/0.41 inference(rewrite,[status(thm)],[])).
% 0.14/0.41 tff(87,plain,
% 0.14/0.41 ((~((~object(tptp_fun_Y_0(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(god), god)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(god))))) <=> (~((~object(tptp_fun_Y_0(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(god), god)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(god)))))),
% 0.14/0.41 inference(rewrite,[status(thm)],[])).
% 0.14/0.41 tff(88,plain,
% 0.14/0.41 ((exemplifies_property(existence, god) | (~object(god)) | (~is_the(god, none_greater)) | (~((~object(tptp_fun_Y_0(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(god), god)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(god)))))) <=> (exemplifies_property(existence, god) | (~object(god)) | (~is_the(god, none_greater)) | (~((~object(tptp_fun_Y_0(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(god), god)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(god))))))),
% 0.14/0.41 inference(monotonicity,[status(thm)],[87])).
% 0.14/0.41 tff(89,plain,
% 0.14/0.41 ((exemplifies_property(existence, god) | (~object(god)) | (~is_the(god, none_greater)) | (~((~object(tptp_fun_Y_0(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(god), god)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(god)))))) <=> (exemplifies_property(existence, god) | (~is_the(god, none_greater)) | (~object(god)) | (~((~object(tptp_fun_Y_0(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(god), god)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(god))))))),
% 0.14/0.41 inference(transitivity,[status(thm)],[88, 86])).
% 0.14/0.41 tff(90,plain,
% 0.14/0.41 (((~![X: $i] : (exemplifies_property(existence, X) | (~object(X)) | (~is_the(X, none_greater)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X))))))) | (exemplifies_property(existence, god) | (~object(god)) | (~is_the(god, none_greater)) | (~((~object(tptp_fun_Y_0(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(god), god)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(god))))))) <=> ((~![X: $i] : (exemplifies_property(existence, X) | (~object(X)) | (~is_the(X, none_greater)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X))))))) | (exemplifies_property(existence, god) | (~is_the(god, none_greater)) | (~object(god)) | (~((~object(tptp_fun_Y_0(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(god), god)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(god)))))))),
% 0.14/0.41 inference(monotonicity,[status(thm)],[89])).
% 0.14/0.41 tff(91,plain,
% 0.14/0.41 (((~![X: $i] : (exemplifies_property(existence, X) | (~object(X)) | (~is_the(X, none_greater)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X))))))) | (exemplifies_property(existence, god) | (~object(god)) | (~is_the(god, none_greater)) | (~((~object(tptp_fun_Y_0(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(god), god)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(god))))))) <=> ((~![X: $i] : (exemplifies_property(existence, X) | (~object(X)) | (~is_the(X, none_greater)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X))))))) | exemplifies_property(existence, god) | (~is_the(god, none_greater)) | (~object(god)) | (~((~object(tptp_fun_Y_0(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(god), god)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(god))))))),
% 0.14/0.41 inference(transitivity,[status(thm)],[90, 85])).
% 0.14/0.41 tff(92,plain,
% 0.14/0.41 ((~![X: $i] : (exemplifies_property(existence, X) | (~object(X)) | (~is_the(X, none_greater)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X))))))) | (exemplifies_property(existence, god) | (~object(god)) | (~is_the(god, none_greater)) | (~((~object(tptp_fun_Y_0(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(god), god)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(god))))))),
% 0.14/0.41 inference(quant_inst,[status(thm)],[])).
% 0.14/0.41 tff(93,plain,
% 0.14/0.41 ((~![X: $i] : (exemplifies_property(existence, X) | (~object(X)) | (~is_the(X, none_greater)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X))))))) | exemplifies_property(existence, god) | (~is_the(god, none_greater)) | (~object(god)) | (~((~object(tptp_fun_Y_0(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(god), god)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(god)))))),
% 0.14/0.41 inference(modus_ponens,[status(thm)],[92, 91])).
% 0.14/0.41 tff(94,plain,
% 0.14/0.41 ((~object(god)) | (~((~object(tptp_fun_Y_0(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(god), god)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(god)))))),
% 0.14/0.41 inference(unit_resolution,[status(thm)],[93, 84, 4, 68])).
% 0.14/0.41 tff(95,plain,
% 0.14/0.41 (~((~object(tptp_fun_Y_0(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(god), god)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(god))))),
% 0.14/0.41 inference(unit_resolution,[status(thm)],[94, 23])).
% 0.14/0.41 tff(96,plain,
% 0.14/0.41 (((~object(tptp_fun_Y_0(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(god), god)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(god)))) | exemplifies_property(conceivable, tptp_fun_Y_0(god))),
% 0.14/0.41 inference(tautology,[status(thm)],[])).
% 0.14/0.41 tff(97,plain,
% 0.14/0.41 (exemplifies_property(conceivable, tptp_fun_Y_0(god))),
% 0.14/0.41 inference(unit_resolution,[status(thm)],[96, 95])).
% 0.14/0.41 tff(98,plain,
% 0.14/0.41 (((~object(tptp_fun_Y_0(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(god), god)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(god)))) | exemplifies_relation(greater_than, tptp_fun_Y_0(god), god)),
% 0.14/0.41 inference(tautology,[status(thm)],[])).
% 0.14/0.41 tff(99,plain,
% 0.14/0.41 (exemplifies_relation(greater_than, tptp_fun_Y_0(god), god)),
% 0.14/0.41 inference(unit_resolution,[status(thm)],[98, 95])).
% 0.14/0.41 tff(100,plain,
% 0.14/0.41 (((~object(tptp_fun_Y_0(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(god), god)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(god)))) | object(tptp_fun_Y_0(god))),
% 0.14/0.41 inference(tautology,[status(thm)],[])).
% 0.14/0.41 tff(101,plain,
% 0.14/0.41 (object(tptp_fun_Y_0(god))),
% 0.14/0.41 inference(unit_resolution,[status(thm)],[100, 95])).
% 0.14/0.41 tff(102,plain,
% 0.14/0.41 (((~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, god)))) | ((~object(tptp_fun_Y_0(god))) | (~exemplifies_property(conceivable, tptp_fun_Y_0(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(god), god)))) <=> ((~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, god)))) | (~object(tptp_fun_Y_0(god))) | (~exemplifies_property(conceivable, tptp_fun_Y_0(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(god), god)))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(103,plain,
% 0.21/0.42 ((~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, god)))) | ((~object(tptp_fun_Y_0(god))) | (~exemplifies_property(conceivable, tptp_fun_Y_0(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(god), god)))),
% 0.21/0.42 inference(quant_inst,[status(thm)],[])).
% 0.21/0.42 tff(104,plain,
% 0.21/0.42 ((~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, god)))) | (~object(tptp_fun_Y_0(god))) | (~exemplifies_property(conceivable, tptp_fun_Y_0(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(god), god))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[103, 102])).
% 0.21/0.42 tff(105,plain,
% 0.21/0.42 ($false),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[104, 101, 99, 97, 65])).
% 0.21/0.42 tff(106,plain,(~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, god)))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.42 tff(107,plain,
% 0.21/0.42 (((~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)))),
% 0.21/0.42 inference(tautology,[status(thm)],[])).
% 0.21/0.42 tff(108,plain,
% 0.21/0.42 ((~exemplifies_property(conceivable, god)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, god))))),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[107, 106])).
% 0.21/0.42 tff(109,plain,
% 0.21/0.42 (^[X: $i] : rewrite(((~object(X)) | (~((~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))) | (~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X)))))))))) <=> ((~object(X)) | (~((~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X))))))) | (~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X))))))))))))),
% 0.21/0.42 inference(bind,[status(th)],[])).
% 0.21/0.42 tff(110,plain,
% 0.21/0.42 (![X: $i] : ((~object(X)) | (~((~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))) | (~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X)))))))))) <=> ![X: $i] : ((~object(X)) | (~((~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X))))))) | (~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))))))),
% 0.21/0.42 inference(quant_intro,[status(thm)],[109])).
% 0.21/0.42 tff(111,plain,
% 0.21/0.42 (^[X: $i] : refl(((~object(X)) | (~((~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))) | (~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X)))))))))) <=> ((~object(X)) | (~((~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))) | (~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X)))))))))))),
% 0.21/0.42 inference(bind,[status(th)],[])).
% 0.21/0.42 tff(112,plain,
% 0.21/0.42 (![X: $i] : ((~object(X)) | (~((~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))) | (~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X)))))))))) <=> ![X: $i] : ((~object(X)) | (~((~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))) | (~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X))))))))))),
% 0.21/0.42 inference(quant_intro,[status(thm)],[111])).
% 0.21/0.42 tff(113,plain,
% 0.21/0.42 (^[X: $i] : rewrite(((~object(X)) | (~((~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))) | (~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X)))))))))) <=> ((~object(X)) | (~((~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))) | (~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X)))))))))))),
% 0.21/0.42 inference(bind,[status(th)],[])).
% 0.21/0.42 tff(114,plain,
% 0.21/0.42 (![X: $i] : ((~object(X)) | (~((~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))) | (~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X)))))))))) <=> ![X: $i] : ((~object(X)) | (~((~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))) | (~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X))))))))))),
% 0.21/0.42 inference(quant_intro,[status(thm)],[113])).
% 0.21/0.42 tff(115,plain,
% 0.21/0.42 (![X: $i] : ((~object(X)) | (~((~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))) | (~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X)))))))))) <=> ![X: $i] : ((~object(X)) | (~((~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))) | (~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X))))))))))),
% 0.21/0.42 inference(transitivity,[status(thm)],[114, 112])).
% 0.21/0.42 tff(116,plain,
% 0.21/0.42 (^[X: $i] : rewrite(((~object(X)) | (((~exemplifies_property(none_greater, X)) | (exemplifies_property(conceivable, X) & ![Y: $i] : (~(object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y))))) & (exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (object(tptp_fun_Y_0(X)) & exemplifies_relation(greater_than, tptp_fun_Y_0(X), X) & exemplifies_property(conceivable, tptp_fun_Y_0(X)))))) <=> ((~object(X)) | (~((~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))) | (~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X)))))))))))),
% 0.21/0.42 inference(bind,[status(th)],[])).
% 0.21/0.42 tff(117,plain,
% 0.21/0.42 (![X: $i] : ((~object(X)) | (((~exemplifies_property(none_greater, X)) | (exemplifies_property(conceivable, X) & ![Y: $i] : (~(object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y))))) & (exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (object(tptp_fun_Y_0(X)) & exemplifies_relation(greater_than, tptp_fun_Y_0(X), X) & exemplifies_property(conceivable, tptp_fun_Y_0(X)))))) <=> ![X: $i] : ((~object(X)) | (~((~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))) | (~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X))))))))))),
% 0.21/0.42 inference(quant_intro,[status(thm)],[116])).
% 0.21/0.42 tff(118,plain,
% 0.21/0.42 (^[X: $i] : rewrite(((~object(X)) | (((~exemplifies_property(none_greater, X)) | (exemplifies_property(conceivable, X) & ![Y: $i] : (~(object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y))))) & (exemplifies_property(none_greater, X) | ((~exemplifies_property(conceivable, X)) | (object(tptp_fun_Y_0(X)) & exemplifies_relation(greater_than, tptp_fun_Y_0(X), X) & exemplifies_property(conceivable, tptp_fun_Y_0(X))))))) <=> ((~object(X)) | (((~exemplifies_property(none_greater, X)) | (exemplifies_property(conceivable, X) & ![Y: $i] : (~(object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y))))) & (exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (object(tptp_fun_Y_0(X)) & exemplifies_relation(greater_than, tptp_fun_Y_0(X), X) & exemplifies_property(conceivable, tptp_fun_Y_0(X)))))))),
% 0.21/0.42 inference(bind,[status(th)],[])).
% 0.21/0.42 tff(119,plain,
% 0.21/0.42 (![X: $i] : ((~object(X)) | (((~exemplifies_property(none_greater, X)) | (exemplifies_property(conceivable, X) & ![Y: $i] : (~(object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y))))) & (exemplifies_property(none_greater, X) | ((~exemplifies_property(conceivable, X)) | (object(tptp_fun_Y_0(X)) & exemplifies_relation(greater_than, tptp_fun_Y_0(X), X) & exemplifies_property(conceivable, tptp_fun_Y_0(X))))))) <=> ![X: $i] : ((~object(X)) | (((~exemplifies_property(none_greater, X)) | (exemplifies_property(conceivable, X) & ![Y: $i] : (~(object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y))))) & (exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (object(tptp_fun_Y_0(X)) & exemplifies_relation(greater_than, tptp_fun_Y_0(X), X) & exemplifies_property(conceivable, tptp_fun_Y_0(X))))))),
% 0.21/0.42 inference(quant_intro,[status(thm)],[118])).
% 0.21/0.42 tff(120,plain,
% 0.21/0.42 (![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))))))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(121,plain,
% 0.21/0.42 (^[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))))))))),
% 0.21/0.42 inference(bind,[status(th)],[])).
% 0.21/0.42 tff(122,plain,
% 0.21/0.42 (![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))))))),
% 0.21/0.42 inference(quant_intro,[status(thm)],[121])).
% 0.21/0.42 tff(123,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')).
% 0.21/0.42 tff(124,plain,
% 0.21/0.42 (![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))))))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[123, 122])).
% 0.21/0.42 tff(125,plain,
% 0.21/0.42 (![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))))))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[124, 120])).
% 0.21/0.42 tff(126,plain,(
% 0.21/0.42 ![X: $i] : ((~object(X)) | (((~exemplifies_property(none_greater, X)) | (exemplifies_property(conceivable, X) & ![Y: $i] : (~(object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y))))) & (exemplifies_property(none_greater, X) | ((~exemplifies_property(conceivable, X)) | (object(tptp_fun_Y_0(X)) & exemplifies_relation(greater_than, tptp_fun_Y_0(X), X) & exemplifies_property(conceivable, tptp_fun_Y_0(X)))))))),
% 0.21/0.42 inference(skolemize,[status(sab)],[125])).
% 0.21/0.42 tff(127,plain,
% 0.21/0.42 (![X: $i] : ((~object(X)) | (((~exemplifies_property(none_greater, X)) | (exemplifies_property(conceivable, X) & ![Y: $i] : (~(object(Y) & exemplifies_relation(greater_than, Y, X) & exemplifies_property(conceivable, Y))))) & (exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (object(tptp_fun_Y_0(X)) & exemplifies_relation(greater_than, tptp_fun_Y_0(X), X) & exemplifies_property(conceivable, tptp_fun_Y_0(X))))))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[126, 119])).
% 0.21/0.42 tff(128,plain,
% 0.21/0.42 (![X: $i] : ((~object(X)) | (~((~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))) | (~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X))))))))))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[127, 117])).
% 0.21/0.42 tff(129,plain,
% 0.21/0.42 (![X: $i] : ((~object(X)) | (~((~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))) | (~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X))))))))))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[128, 115])).
% 0.21/0.42 tff(130,plain,
% 0.21/0.42 (![X: $i] : ((~object(X)) | (~((~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X))))))) | (~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))))))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[129, 110])).
% 0.21/0.42 tff(131,plain,
% 0.21/0.42 (((~![X: $i] : ((~object(X)) | (~((~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X))))))) | (~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))))))) | ((~object(god)) | (~((~((~((~object(tptp_fun_Y_0(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(god), god)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(god))))) | exemplifies_property(none_greater, god) | (~exemplifies_property(conceivable, 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_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X))))))) | (~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))))))) | (~object(god)) | (~((~((~((~object(tptp_fun_Y_0(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(god), god)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(god))))) | exemplifies_property(none_greater, god) | (~exemplifies_property(conceivable, god)))) | (~((~exemplifies_property(none_greater, god)) | (~((~exemplifies_property(conceivable, god)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, god)))))))))))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(132,plain,
% 0.21/0.43 (((~object(god)) | (~((~(exemplifies_property(none_greater, god) | (~exemplifies_property(conceivable, god)) | (~((~object(tptp_fun_Y_0(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(god), god)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(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_0(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(god), god)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(god))))) | exemplifies_property(none_greater, god) | (~exemplifies_property(conceivable, god)))) | (~((~exemplifies_property(none_greater, god)) | (~((~exemplifies_property(conceivable, god)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, god)))))))))))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(133,plain,
% 0.21/0.43 (((~![X: $i] : ((~object(X)) | (~((~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X))))))) | (~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))))))) | ((~object(god)) | (~((~(exemplifies_property(none_greater, god) | (~exemplifies_property(conceivable, god)) | (~((~object(tptp_fun_Y_0(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(god), god)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(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_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X))))))) | (~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))))))) | ((~object(god)) | (~((~((~((~object(tptp_fun_Y_0(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(god), god)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(god))))) | exemplifies_property(none_greater, god) | (~exemplifies_property(conceivable, god)))) | (~((~exemplifies_property(none_greater, god)) | (~((~exemplifies_property(conceivable, god)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, god))))))))))))),
% 0.21/0.43 inference(monotonicity,[status(thm)],[132])).
% 0.21/0.43 tff(134,plain,
% 0.21/0.43 (((~![X: $i] : ((~object(X)) | (~((~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X))))))) | (~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))))))) | ((~object(god)) | (~((~(exemplifies_property(none_greater, god) | (~exemplifies_property(conceivable, god)) | (~((~object(tptp_fun_Y_0(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(god), god)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(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_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X))))))) | (~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))))))) | (~object(god)) | (~((~((~((~object(tptp_fun_Y_0(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(god), god)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(god))))) | exemplifies_property(none_greater, god) | (~exemplifies_property(conceivable, god)))) | (~((~exemplifies_property(none_greater, god)) | (~((~exemplifies_property(conceivable, god)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, god)))))))))))),
% 0.21/0.43 inference(transitivity,[status(thm)],[133, 131])).
% 0.21/0.43 tff(135,plain,
% 0.21/0.43 ((~![X: $i] : ((~object(X)) | (~((~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X))))))) | (~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))))))) | ((~object(god)) | (~((~(exemplifies_property(none_greater, god) | (~exemplifies_property(conceivable, god)) | (~((~object(tptp_fun_Y_0(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(god), god)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(god))))))) | (~((~exemplifies_property(none_greater, god)) | (~((~exemplifies_property(conceivable, god)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, god)))))))))))),
% 0.21/0.43 inference(quant_inst,[status(thm)],[])).
% 0.21/0.43 tff(136,plain,
% 0.21/0.43 ((~![X: $i] : ((~object(X)) | (~((~(exemplifies_property(none_greater, X) | (~exemplifies_property(conceivable, X)) | (~((~object(tptp_fun_Y_0(X))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(X), X)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(X))))))) | (~((~exemplifies_property(none_greater, X)) | (~((~exemplifies_property(conceivable, X)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, X)))))))))))) | (~object(god)) | (~((~((~((~object(tptp_fun_Y_0(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(god), god)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(god))))) | exemplifies_property(none_greater, god) | (~exemplifies_property(conceivable, god)))) | (~((~exemplifies_property(none_greater, god)) | (~((~exemplifies_property(conceivable, god)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, god))))))))))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[135, 134])).
% 0.21/0.43 tff(137,plain,
% 0.21/0.43 (~((~((~((~object(tptp_fun_Y_0(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(god), god)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(god))))) | exemplifies_property(none_greater, god) | (~exemplifies_property(conceivable, god)))) | (~((~exemplifies_property(none_greater, god)) | (~((~exemplifies_property(conceivable, god)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, god)))))))))),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[136, 130, 23])).
% 0.21/0.43 tff(138,plain,
% 0.21/0.43 (((~((~((~object(tptp_fun_Y_0(god))) | (~exemplifies_relation(greater_than, tptp_fun_Y_0(god), god)) | (~exemplifies_property(conceivable, tptp_fun_Y_0(god))))) | exemplifies_property(none_greater, god) | (~exemplifies_property(conceivable, 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)))))))),
% 0.21/0.43 inference(tautology,[status(thm)],[])).
% 0.21/0.43 tff(139,plain,
% 0.21/0.43 ((~exemplifies_property(none_greater, god)) | (~((~exemplifies_property(conceivable, god)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, god))))))),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[138, 137])).
% 0.21/0.43 tff(140,plain,
% 0.21/0.43 ((~((~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))))))),
% 0.21/0.43 inference(tautology,[status(thm)],[])).
% 0.21/0.43 tff(141,plain,
% 0.21/0.43 ((~exemplifies_property(none_greater, god)) | (~((~exemplifies_property(conceivable, god)) | (~![Y: $i] : ((~object(Y)) | (~exemplifies_property(conceivable, Y)) | (~exemplifies_relation(greater_than, Y, god))))))),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[140, 139])).
% 0.21/0.43 tff(142,plain,
% 0.21/0.43 (~exemplifies_property(none_greater, god)),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[141, 108])).
% 0.21/0.43 tff(143,plain,
% 0.21/0.43 (((~![Z: $i] : (exemplifies_property(none_greater, Z) | (~object(Z)) | (~is_the(Z, none_greater)))) | ((~is_the(god, none_greater)) | (~object(god)) | exemplifies_property(none_greater, god))) <=> ((~![Z: $i] : (exemplifies_property(none_greater, Z) | (~object(Z)) | (~is_the(Z, none_greater)))) | (~is_the(god, none_greater)) | (~object(god)) | exemplifies_property(none_greater, god))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(144,plain,
% 0.21/0.43 ((exemplifies_property(none_greater, god) | (~object(god)) | (~is_the(god, none_greater))) <=> ((~is_the(god, none_greater)) | (~object(god)) | exemplifies_property(none_greater, god))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(145,plain,
% 0.21/0.43 (((~![Z: $i] : (exemplifies_property(none_greater, Z) | (~object(Z)) | (~is_the(Z, none_greater)))) | (exemplifies_property(none_greater, god) | (~object(god)) | (~is_the(god, none_greater)))) <=> ((~![Z: $i] : (exemplifies_property(none_greater, Z) | (~object(Z)) | (~is_the(Z, none_greater)))) | ((~is_the(god, none_greater)) | (~object(god)) | exemplifies_property(none_greater, god)))),
% 0.21/0.43 inference(monotonicity,[status(thm)],[144])).
% 0.21/0.43 tff(146,plain,
% 0.21/0.43 (((~![Z: $i] : (exemplifies_property(none_greater, Z) | (~object(Z)) | (~is_the(Z, none_greater)))) | (exemplifies_property(none_greater, god) | (~object(god)) | (~is_the(god, none_greater)))) <=> ((~![Z: $i] : (exemplifies_property(none_greater, Z) | (~object(Z)) | (~is_the(Z, none_greater)))) | (~is_the(god, none_greater)) | (~object(god)) | exemplifies_property(none_greater, god))),
% 0.21/0.43 inference(transitivity,[status(thm)],[145, 143])).
% 0.21/0.43 tff(147,plain,
% 0.21/0.43 ((~![Z: $i] : (exemplifies_property(none_greater, Z) | (~object(Z)) | (~is_the(Z, none_greater)))) | (exemplifies_property(none_greater, god) | (~object(god)) | (~is_the(god, none_greater)))),
% 0.21/0.44 inference(quant_inst,[status(thm)],[])).
% 0.21/0.44 tff(148,plain,
% 0.21/0.44 ((~![Z: $i] : (exemplifies_property(none_greater, Z) | (~object(Z)) | (~is_the(Z, none_greater)))) | (~is_the(god, none_greater)) | (~object(god)) | exemplifies_property(none_greater, god)),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[147, 146])).
% 0.21/0.44 tff(149,plain,
% 0.21/0.44 ($false),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[148, 4, 23, 142, 64])).
% 0.21/0.44 % SZS output end Proof
%------------------------------------------------------------------------------