%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : PHI022+1 : TPTP v9.0.0. Released v7.4.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n013.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 05:22:46 AM UTC 2025
% Result : Theorem 0.20s 0.38s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PHI022+1 : TPTP v9.0.0. Released v7.4.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jun 20 02:18:53 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.20/0.38 % SZS status Theorem
% 0.20/0.38 % SZS output start Proof
% 0.20/0.38 tff(selfCaused_type, type, (
% 0.20/0.38 selfCaused: $i > $o)).
% 0.20/0.38 tff(tptp_fun_X_0_type, type, (
% 0.20/0.38 tptp_fun_X_0: $i)).
% 0.20/0.38 tff(natureConcOnlyByExistence_type, type, (
% 0.20/0.38 natureConcOnlyByExistence: $i > $o)).
% 0.20/0.38 tff(essenceInvExistence_type, type, (
% 0.20/0.38 essenceInvExistence: $i > $o)).
% 0.20/0.38 tff(hasEssence_type, type, (
% 0.20/0.38 hasEssence: $i > $o)).
% 0.20/0.38 tff(being_type, type, (
% 0.20/0.38 being: $i > $o)).
% 0.20/0.38 tff(substance_type, type, (
% 0.20/0.38 substance: $i > $o)).
% 0.20/0.38 tff(exists_type, type, (
% 0.20/0.38 exists: $i > $o)).
% 0.20/0.38 tff(inItself_type, type, (
% 0.20/0.38 inItself: $i > $o)).
% 0.20/0.38 tff(conceivedThruItself_type, type, (
% 0.20/0.38 conceivedThruItself: $i > $o)).
% 0.20/0.38 tff(1,plain,
% 0.20/0.38 ((~![X: $i] : (exists(X) | (~substance(X)))) <=> (~![X: $i] : (exists(X) | (~substance(X))))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(2,plain,
% 0.20/0.38 ((~![X: $i] : (substance(X) => exists(X))) <=> (~![X: $i] : (exists(X) | (~substance(X))))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(3,axiom,(~![X: $i] : (substance(X) => exists(X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','has_substance_exists')).
% 0.20/0.38 tff(4,plain,
% 0.20/0.38 (~![X: $i] : (exists(X) | (~substance(X)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.20/0.38 tff(5,plain,
% 0.20/0.38 (~![X: $i] : (exists(X) | (~substance(X)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[4, 1])).
% 0.20/0.38 tff(6,plain,
% 0.20/0.38 (~![X: $i] : (exists(X) | (~substance(X)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.20/0.38 tff(7,plain,
% 0.20/0.38 (~![X: $i] : (exists(X) | (~substance(X)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[6, 1])).
% 0.20/0.38 tff(8,plain,(
% 0.20/0.38 ~(exists(X!0) | (~substance(X!0)))),
% 0.20/0.38 inference(skolemize,[status(sab)],[7])).
% 0.20/0.38 tff(9,plain,
% 0.20/0.38 (substance(X!0)),
% 0.20/0.38 inference(or_elim,[status(thm)],[8])).
% 0.20/0.38 tff(10,plain,
% 0.20/0.38 (^[X: $i] : refl((being(X) | (~substance(X))) <=> (being(X) | (~substance(X))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(11,plain,
% 0.20/0.38 (![X: $i] : (being(X) | (~substance(X))) <=> ![X: $i] : (being(X) | (~substance(X)))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[10])).
% 0.20/0.38 tff(12,plain,
% 0.20/0.38 (![X: $i] : (being(X) | (~substance(X))) <=> ![X: $i] : (being(X) | (~substance(X)))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(13,plain,
% 0.20/0.38 (^[X: $i] : rewrite((substance(X) => being(X)) <=> (being(X) | (~substance(X))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(14,plain,
% 0.20/0.38 (![X: $i] : (substance(X) => being(X)) <=> ![X: $i] : (being(X) | (~substance(X)))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[13])).
% 0.20/0.38 tff(15,axiom,(![X: $i] : (substance(X) => being(X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','has_substance_being')).
% 0.20/0.38 tff(16,plain,
% 0.20/0.38 (![X: $i] : (being(X) | (~substance(X)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[15, 14])).
% 0.20/0.38 tff(17,plain,
% 0.20/0.38 (![X: $i] : (being(X) | (~substance(X)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[16, 12])).
% 0.20/0.38 tff(18,plain,(
% 0.20/0.38 ![X: $i] : (being(X) | (~substance(X)))),
% 0.20/0.38 inference(skolemize,[status(sab)],[17])).
% 0.20/0.38 tff(19,plain,
% 0.20/0.38 (![X: $i] : (being(X) | (~substance(X)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[18, 11])).
% 0.20/0.38 tff(20,plain,
% 0.20/0.38 (((~![X: $i] : (being(X) | (~substance(X)))) | (being(X!0) | (~substance(X!0)))) <=> ((~![X: $i] : (being(X) | (~substance(X)))) | being(X!0) | (~substance(X!0)))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(21,plain,
% 0.20/0.38 ((~![X: $i] : (being(X) | (~substance(X)))) | (being(X!0) | (~substance(X!0)))),
% 0.20/0.38 inference(quant_inst,[status(thm)],[])).
% 0.20/0.38 tff(22,plain,
% 0.20/0.38 ((~![X: $i] : (being(X) | (~substance(X)))) | being(X!0) | (~substance(X!0))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[21, 20])).
% 0.20/0.38 tff(23,plain,
% 0.20/0.38 (being(X!0)),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[22, 19, 9])).
% 0.20/0.38 tff(24,plain,
% 0.20/0.38 (^[X: $i] : refl((hasEssence(X) | (~being(X))) <=> (hasEssence(X) | (~being(X))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(25,plain,
% 0.20/0.38 (![X: $i] : (hasEssence(X) | (~being(X))) <=> ![X: $i] : (hasEssence(X) | (~being(X)))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[24])).
% 0.20/0.38 tff(26,plain,
% 0.20/0.38 (![X: $i] : (hasEssence(X) | (~being(X))) <=> ![X: $i] : (hasEssence(X) | (~being(X)))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(27,plain,
% 0.20/0.38 (^[X: $i] : rewrite((being(X) => hasEssence(X)) <=> (hasEssence(X) | (~being(X))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(28,plain,
% 0.20/0.38 (![X: $i] : (being(X) => hasEssence(X)) <=> ![X: $i] : (hasEssence(X) | (~being(X)))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[27])).
% 0.20/0.38 tff(29,axiom,(![X: $i] : (being(X) => hasEssence(X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','being_has_essense')).
% 0.20/0.38 tff(30,plain,
% 0.20/0.38 (![X: $i] : (hasEssence(X) | (~being(X)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[29, 28])).
% 0.20/0.38 tff(31,plain,
% 0.20/0.38 (![X: $i] : (hasEssence(X) | (~being(X)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[30, 26])).
% 0.20/0.38 tff(32,plain,(
% 0.20/0.38 ![X: $i] : (hasEssence(X) | (~being(X)))),
% 0.20/0.38 inference(skolemize,[status(sab)],[31])).
% 0.20/0.38 tff(33,plain,
% 0.20/0.38 (![X: $i] : (hasEssence(X) | (~being(X)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[32, 25])).
% 0.20/0.38 tff(34,plain,
% 0.20/0.38 (((~![X: $i] : (hasEssence(X) | (~being(X)))) | (hasEssence(X!0) | (~being(X!0)))) <=> ((~![X: $i] : (hasEssence(X) | (~being(X)))) | hasEssence(X!0) | (~being(X!0)))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(35,plain,
% 0.20/0.38 ((~![X: $i] : (hasEssence(X) | (~being(X)))) | (hasEssence(X!0) | (~being(X!0)))),
% 0.20/0.38 inference(quant_inst,[status(thm)],[])).
% 0.20/0.38 tff(36,plain,
% 0.20/0.38 ((~![X: $i] : (hasEssence(X) | (~being(X)))) | hasEssence(X!0) | (~being(X!0))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[35, 34])).
% 0.20/0.38 tff(37,plain,
% 0.20/0.38 (hasEssence(X!0)),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[36, 33, 23])).
% 0.20/0.38 tff(38,plain,
% 0.20/0.38 (~exists(X!0)),
% 0.20/0.38 inference(or_elim,[status(thm)],[8])).
% 0.20/0.38 tff(39,plain,
% 0.20/0.38 (^[X: $i] : refl(((~essenceInvExistence(X)) | exists(X) | (~hasEssence(X))) <=> ((~essenceInvExistence(X)) | exists(X) | (~hasEssence(X))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(40,plain,
% 0.20/0.38 (![X: $i] : ((~essenceInvExistence(X)) | exists(X) | (~hasEssence(X))) <=> ![X: $i] : ((~essenceInvExistence(X)) | exists(X) | (~hasEssence(X)))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[39])).
% 0.20/0.38 tff(41,plain,
% 0.20/0.38 (^[X: $i] : trans(monotonicity(trans(monotonicity(rewrite((essenceInvExistence(X) & hasEssence(X)) <=> (~((~essenceInvExistence(X)) | (~hasEssence(X))))), ((~(essenceInvExistence(X) & hasEssence(X))) <=> (~(~((~essenceInvExistence(X)) | (~hasEssence(X))))))), rewrite((~(~((~essenceInvExistence(X)) | (~hasEssence(X))))) <=> ((~essenceInvExistence(X)) | (~hasEssence(X)))), ((~(essenceInvExistence(X) & hasEssence(X))) <=> ((~essenceInvExistence(X)) | (~hasEssence(X))))), ((exists(X) | (~(essenceInvExistence(X) & hasEssence(X)))) <=> (exists(X) | ((~essenceInvExistence(X)) | (~hasEssence(X)))))), rewrite((exists(X) | ((~essenceInvExistence(X)) | (~hasEssence(X)))) <=> ((~essenceInvExistence(X)) | exists(X) | (~hasEssence(X)))), ((exists(X) | (~(essenceInvExistence(X) & hasEssence(X)))) <=> ((~essenceInvExistence(X)) | exists(X) | (~hasEssence(X)))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(42,plain,
% 0.20/0.38 (![X: $i] : (exists(X) | (~(essenceInvExistence(X) & hasEssence(X)))) <=> ![X: $i] : ((~essenceInvExistence(X)) | exists(X) | (~hasEssence(X)))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[41])).
% 0.20/0.38 tff(43,plain,
% 0.20/0.38 (![X: $i] : (exists(X) | (~(essenceInvExistence(X) & hasEssence(X)))) <=> ![X: $i] : (exists(X) | (~(essenceInvExistence(X) & hasEssence(X))))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(44,plain,
% 0.20/0.38 (^[X: $i] : rewrite(((essenceInvExistence(X) & hasEssence(X)) => exists(X)) <=> (exists(X) | (~(essenceInvExistence(X) & hasEssence(X)))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(45,plain,
% 0.20/0.38 (![X: $i] : ((essenceInvExistence(X) & hasEssence(X)) => exists(X)) <=> ![X: $i] : (exists(X) | (~(essenceInvExistence(X) & hasEssence(X))))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[44])).
% 0.20/0.38 tff(46,axiom,(![X: $i] : ((essenceInvExistence(X) & hasEssence(X)) => exists(X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','essence_involves_existence_exists')).
% 0.20/0.38 tff(47,plain,
% 0.20/0.38 (![X: $i] : (exists(X) | (~(essenceInvExistence(X) & hasEssence(X))))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[46, 45])).
% 0.20/0.38 tff(48,plain,
% 0.20/0.38 (![X: $i] : (exists(X) | (~(essenceInvExistence(X) & hasEssence(X))))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[47, 43])).
% 0.20/0.38 tff(49,plain,(
% 0.20/0.38 ![X: $i] : (exists(X) | (~(essenceInvExistence(X) & hasEssence(X))))),
% 0.20/0.38 inference(skolemize,[status(sab)],[48])).
% 0.20/0.38 tff(50,plain,
% 0.20/0.38 (![X: $i] : ((~essenceInvExistence(X)) | exists(X) | (~hasEssence(X)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[49, 42])).
% 0.20/0.38 tff(51,plain,
% 0.20/0.38 (![X: $i] : ((~essenceInvExistence(X)) | exists(X) | (~hasEssence(X)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[50, 40])).
% 0.20/0.38 tff(52,plain,
% 0.20/0.38 (((~![X: $i] : ((~essenceInvExistence(X)) | exists(X) | (~hasEssence(X)))) | (exists(X!0) | (~essenceInvExistence(X!0)) | (~hasEssence(X!0)))) <=> ((~![X: $i] : ((~essenceInvExistence(X)) | exists(X) | (~hasEssence(X)))) | exists(X!0) | (~essenceInvExistence(X!0)) | (~hasEssence(X!0)))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(53,plain,
% 0.20/0.38 (((~essenceInvExistence(X!0)) | exists(X!0) | (~hasEssence(X!0))) <=> (exists(X!0) | (~essenceInvExistence(X!0)) | (~hasEssence(X!0)))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(54,plain,
% 0.20/0.38 (((~![X: $i] : ((~essenceInvExistence(X)) | exists(X) | (~hasEssence(X)))) | ((~essenceInvExistence(X!0)) | exists(X!0) | (~hasEssence(X!0)))) <=> ((~![X: $i] : ((~essenceInvExistence(X)) | exists(X) | (~hasEssence(X)))) | (exists(X!0) | (~essenceInvExistence(X!0)) | (~hasEssence(X!0))))),
% 0.20/0.38 inference(monotonicity,[status(thm)],[53])).
% 0.20/0.38 tff(55,plain,
% 0.20/0.38 (((~![X: $i] : ((~essenceInvExistence(X)) | exists(X) | (~hasEssence(X)))) | ((~essenceInvExistence(X!0)) | exists(X!0) | (~hasEssence(X!0)))) <=> ((~![X: $i] : ((~essenceInvExistence(X)) | exists(X) | (~hasEssence(X)))) | exists(X!0) | (~essenceInvExistence(X!0)) | (~hasEssence(X!0)))),
% 0.20/0.38 inference(transitivity,[status(thm)],[54, 52])).
% 0.20/0.38 tff(56,plain,
% 0.20/0.38 ((~![X: $i] : ((~essenceInvExistence(X)) | exists(X) | (~hasEssence(X)))) | ((~essenceInvExistence(X!0)) | exists(X!0) | (~hasEssence(X!0)))),
% 0.20/0.38 inference(quant_inst,[status(thm)],[])).
% 0.20/0.38 tff(57,plain,
% 0.20/0.38 ((~![X: $i] : ((~essenceInvExistence(X)) | exists(X) | (~hasEssence(X)))) | exists(X!0) | (~essenceInvExistence(X!0)) | (~hasEssence(X!0))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[56, 55])).
% 0.20/0.38 tff(58,plain,
% 0.20/0.38 ((~essenceInvExistence(X!0)) | (~hasEssence(X!0))),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[57, 51, 38])).
% 0.20/0.38 tff(59,plain,
% 0.20/0.38 (~essenceInvExistence(X!0)),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[58, 37])).
% 0.20/0.38 tff(60,plain,
% 0.20/0.38 (((~essenceInvExistence(X!0)) | (~natureConcOnlyByExistence(X!0))) | essenceInvExistence(X!0)),
% 0.20/0.38 inference(tautology,[status(thm)],[])).
% 0.20/0.38 tff(61,plain,
% 0.20/0.38 ((~essenceInvExistence(X!0)) | (~natureConcOnlyByExistence(X!0))),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[60, 59])).
% 0.20/0.38 tff(62,plain,
% 0.20/0.38 (^[X: $i] : refl((~(((~inItself(X)) | (~conceivedThruItself(X))) <=> substance(X))) <=> (~(((~inItself(X)) | (~conceivedThruItself(X))) <=> substance(X))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(63,plain,
% 0.20/0.38 (![X: $i] : (~(((~inItself(X)) | (~conceivedThruItself(X))) <=> substance(X))) <=> ![X: $i] : (~(((~inItself(X)) | (~conceivedThruItself(X))) <=> substance(X)))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[62])).
% 0.20/0.38 tff(64,plain,
% 0.20/0.38 (^[X: $i] : trans(trans(monotonicity(rewrite((inItself(X) & conceivedThruItself(X)) <=> (~((~inItself(X)) | (~conceivedThruItself(X))))), ((substance(X) <=> (inItself(X) & conceivedThruItself(X))) <=> (substance(X) <=> (~((~inItself(X)) | (~conceivedThruItself(X))))))), rewrite((substance(X) <=> (~((~inItself(X)) | (~conceivedThruItself(X))))) <=> (~(((~inItself(X)) | (~conceivedThruItself(X))) <=> substance(X)))), ((substance(X) <=> (inItself(X) & conceivedThruItself(X))) <=> (~(((~inItself(X)) | (~conceivedThruItself(X))) <=> substance(X))))), rewrite((~(((~inItself(X)) | (~conceivedThruItself(X))) <=> substance(X))) <=> (~(((~inItself(X)) | (~conceivedThruItself(X))) <=> substance(X)))), ((substance(X) <=> (inItself(X) & conceivedThruItself(X))) <=> (~(((~inItself(X)) | (~conceivedThruItself(X))) <=> substance(X)))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(65,plain,
% 0.20/0.38 (![X: $i] : (substance(X) <=> (inItself(X) & conceivedThruItself(X))) <=> ![X: $i] : (~(((~inItself(X)) | (~conceivedThruItself(X))) <=> substance(X)))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[64])).
% 0.20/0.38 tff(66,plain,
% 0.20/0.38 (![X: $i] : (substance(X) <=> (inItself(X) & conceivedThruItself(X))) <=> ![X: $i] : (substance(X) <=> (inItself(X) & conceivedThruItself(X)))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(67,axiom,(![X: $i] : (substance(X) <=> (inItself(X) & conceivedThruItself(X)))), file('/export/starexec/sandbox/benchmark/Axioms/PHI002+0.ax','substance')).
% 0.20/0.38 tff(68,plain,
% 0.20/0.38 (![X: $i] : (substance(X) <=> (inItself(X) & conceivedThruItself(X)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[67, 66])).
% 0.20/0.38 tff(69,plain,(
% 0.20/0.38 ![X: $i] : (substance(X) <=> (inItself(X) & conceivedThruItself(X)))),
% 0.20/0.38 inference(skolemize,[status(sab)],[68])).
% 0.20/0.38 tff(70,plain,
% 0.20/0.38 (![X: $i] : (~(((~inItself(X)) | (~conceivedThruItself(X))) <=> substance(X)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[69, 65])).
% 0.20/0.38 tff(71,plain,
% 0.20/0.38 (![X: $i] : (~(((~inItself(X)) | (~conceivedThruItself(X))) <=> substance(X)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[70, 63])).
% 0.20/0.38 tff(72,plain,
% 0.20/0.38 ((~![X: $i] : (~(((~inItself(X)) | (~conceivedThruItself(X))) <=> substance(X)))) | (~(((~inItself(X!0)) | (~conceivedThruItself(X!0))) <=> substance(X!0)))),
% 0.20/0.38 inference(quant_inst,[status(thm)],[])).
% 0.20/0.38 tff(73,plain,
% 0.20/0.38 (~(((~inItself(X!0)) | (~conceivedThruItself(X!0))) <=> substance(X!0))),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[72, 71])).
% 0.20/0.38 tff(74,plain,
% 0.20/0.38 ((((~inItself(X!0)) | (~conceivedThruItself(X!0))) <=> substance(X!0)) | (~((~inItself(X!0)) | (~conceivedThruItself(X!0)))) | (~substance(X!0))),
% 0.20/0.38 inference(tautology,[status(thm)],[])).
% 0.20/0.38 tff(75,plain,
% 0.20/0.38 ((((~inItself(X!0)) | (~conceivedThruItself(X!0))) <=> substance(X!0)) | (~((~inItself(X!0)) | (~conceivedThruItself(X!0))))),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[74, 9])).
% 0.20/0.38 tff(76,plain,
% 0.20/0.38 (~((~inItself(X!0)) | (~conceivedThruItself(X!0)))),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[75, 73])).
% 0.20/0.38 tff(77,plain,
% 0.20/0.38 (((~inItself(X!0)) | (~conceivedThruItself(X!0))) | inItself(X!0)),
% 0.20/0.38 inference(tautology,[status(thm)],[])).
% 0.20/0.38 tff(78,plain,
% 0.20/0.38 (inItself(X!0)),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[77, 76])).
% 0.20/0.38 tff(79,plain,
% 0.20/0.38 (^[X: $i] : refl((selfCaused(X) | (~inItself(X))) <=> (selfCaused(X) | (~inItself(X))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(80,plain,
% 0.20/0.38 (![X: $i] : (selfCaused(X) | (~inItself(X))) <=> ![X: $i] : (selfCaused(X) | (~inItself(X)))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[79])).
% 0.20/0.38 tff(81,plain,
% 0.20/0.38 (![X: $i] : (selfCaused(X) | (~inItself(X))) <=> ![X: $i] : (selfCaused(X) | (~inItself(X)))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(82,plain,
% 0.20/0.38 (^[X: $i] : rewrite((inItself(X) => selfCaused(X)) <=> (selfCaused(X) | (~inItself(X))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(83,plain,
% 0.20/0.38 (![X: $i] : (inItself(X) => selfCaused(X)) <=> ![X: $i] : (selfCaused(X) | (~inItself(X)))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[82])).
% 0.20/0.38 tff(84,axiom,(![X: $i] : (inItself(X) => selfCaused(X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','is_in_itself_is_self_caused')).
% 0.20/0.38 tff(85,plain,
% 0.20/0.38 (![X: $i] : (selfCaused(X) | (~inItself(X)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[84, 83])).
% 0.20/0.38 tff(86,plain,
% 0.20/0.38 (![X: $i] : (selfCaused(X) | (~inItself(X)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[85, 81])).
% 0.20/0.38 tff(87,plain,(
% 0.20/0.38 ![X: $i] : (selfCaused(X) | (~inItself(X)))),
% 0.20/0.38 inference(skolemize,[status(sab)],[86])).
% 0.20/0.38 tff(88,plain,
% 0.20/0.38 (![X: $i] : (selfCaused(X) | (~inItself(X)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[87, 80])).
% 0.20/0.38 tff(89,plain,
% 0.20/0.38 (((~![X: $i] : (selfCaused(X) | (~inItself(X)))) | (selfCaused(X!0) | (~inItself(X!0)))) <=> ((~![X: $i] : (selfCaused(X) | (~inItself(X)))) | selfCaused(X!0) | (~inItself(X!0)))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(90,plain,
% 0.20/0.38 ((~![X: $i] : (selfCaused(X) | (~inItself(X)))) | (selfCaused(X!0) | (~inItself(X!0)))),
% 0.20/0.38 inference(quant_inst,[status(thm)],[])).
% 0.20/0.38 tff(91,plain,
% 0.20/0.38 ((~![X: $i] : (selfCaused(X) | (~inItself(X)))) | selfCaused(X!0) | (~inItself(X!0))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[90, 89])).
% 0.20/0.39 tff(92,plain,
% 0.20/0.39 (selfCaused(X!0)),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[91, 88, 78])).
% 0.20/0.39 tff(93,plain,
% 0.20/0.39 ((((~essenceInvExistence(X!0)) | (~natureConcOnlyByExistence(X!0))) <=> selfCaused(X!0)) | (~((~essenceInvExistence(X!0)) | (~natureConcOnlyByExistence(X!0)))) | (~selfCaused(X!0))),
% 0.20/0.39 inference(tautology,[status(thm)],[])).
% 0.20/0.39 tff(94,plain,
% 0.20/0.39 (((~essenceInvExistence(X!0)) | (~natureConcOnlyByExistence(X!0))) <=> selfCaused(X!0)),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[93, 92, 61])).
% 0.20/0.39 tff(95,plain,
% 0.20/0.39 (^[X: $i] : refl((~(((~essenceInvExistence(X)) | (~natureConcOnlyByExistence(X))) <=> selfCaused(X))) <=> (~(((~essenceInvExistence(X)) | (~natureConcOnlyByExistence(X))) <=> selfCaused(X))))),
% 0.20/0.39 inference(bind,[status(th)],[])).
% 0.20/0.39 tff(96,plain,
% 0.20/0.39 (![X: $i] : (~(((~essenceInvExistence(X)) | (~natureConcOnlyByExistence(X))) <=> selfCaused(X))) <=> ![X: $i] : (~(((~essenceInvExistence(X)) | (~natureConcOnlyByExistence(X))) <=> selfCaused(X)))),
% 0.20/0.39 inference(quant_intro,[status(thm)],[95])).
% 0.20/0.39 tff(97,plain,
% 0.20/0.39 (^[X: $i] : trans(trans(monotonicity(rewrite((essenceInvExistence(X) & natureConcOnlyByExistence(X)) <=> (~((~essenceInvExistence(X)) | (~natureConcOnlyByExistence(X))))), ((selfCaused(X) <=> (essenceInvExistence(X) & natureConcOnlyByExistence(X))) <=> (selfCaused(X) <=> (~((~essenceInvExistence(X)) | (~natureConcOnlyByExistence(X))))))), rewrite((selfCaused(X) <=> (~((~essenceInvExistence(X)) | (~natureConcOnlyByExistence(X))))) <=> (~(((~essenceInvExistence(X)) | (~natureConcOnlyByExistence(X))) <=> selfCaused(X)))), ((selfCaused(X) <=> (essenceInvExistence(X) & natureConcOnlyByExistence(X))) <=> (~(((~essenceInvExistence(X)) | (~natureConcOnlyByExistence(X))) <=> selfCaused(X))))), rewrite((~(((~essenceInvExistence(X)) | (~natureConcOnlyByExistence(X))) <=> selfCaused(X))) <=> (~(((~essenceInvExistence(X)) | (~natureConcOnlyByExistence(X))) <=> selfCaused(X)))), ((selfCaused(X) <=> (essenceInvExistence(X) & natureConcOnlyByExistence(X))) <=> (~(((~essenceInvExistence(X)) | (~natureConcOnlyByExistence(X))) <=> selfCaused(X)))))),
% 0.20/0.39 inference(bind,[status(th)],[])).
% 0.20/0.39 tff(98,plain,
% 0.20/0.39 (![X: $i] : (selfCaused(X) <=> (essenceInvExistence(X) & natureConcOnlyByExistence(X))) <=> ![X: $i] : (~(((~essenceInvExistence(X)) | (~natureConcOnlyByExistence(X))) <=> selfCaused(X)))),
% 0.20/0.39 inference(quant_intro,[status(thm)],[97])).
% 0.20/0.39 tff(99,plain,
% 0.20/0.39 (![X: $i] : (selfCaused(X) <=> (essenceInvExistence(X) & natureConcOnlyByExistence(X))) <=> ![X: $i] : (selfCaused(X) <=> (essenceInvExistence(X) & natureConcOnlyByExistence(X)))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(100,axiom,(![X: $i] : (selfCaused(X) <=> (essenceInvExistence(X) & natureConcOnlyByExistence(X)))), file('/export/starexec/sandbox/benchmark/Axioms/PHI002+0.ax','self_caused')).
% 0.20/0.39 tff(101,plain,
% 0.20/0.39 (![X: $i] : (selfCaused(X) <=> (essenceInvExistence(X) & natureConcOnlyByExistence(X)))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[100, 99])).
% 0.20/0.39 tff(102,plain,(
% 0.20/0.39 ![X: $i] : (selfCaused(X) <=> (essenceInvExistence(X) & natureConcOnlyByExistence(X)))),
% 0.20/0.39 inference(skolemize,[status(sab)],[101])).
% 0.20/0.39 tff(103,plain,
% 0.20/0.39 (![X: $i] : (~(((~essenceInvExistence(X)) | (~natureConcOnlyByExistence(X))) <=> selfCaused(X)))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[102, 98])).
% 0.20/0.39 tff(104,plain,
% 0.20/0.39 (![X: $i] : (~(((~essenceInvExistence(X)) | (~natureConcOnlyByExistence(X))) <=> selfCaused(X)))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[103, 96])).
% 0.20/0.39 tff(105,plain,
% 0.20/0.39 ((~![X: $i] : (~(((~essenceInvExistence(X)) | (~natureConcOnlyByExistence(X))) <=> selfCaused(X)))) | (~(((~essenceInvExistence(X!0)) | (~natureConcOnlyByExistence(X!0))) <=> selfCaused(X!0)))),
% 0.20/0.39 inference(quant_inst,[status(thm)],[])).
% 0.20/0.39 tff(106,plain,
% 0.20/0.39 ($false),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[105, 104, 94])).
% 0.20/0.39 % SZS output end Proof
% 0.20/0.39 % E exiting
%------------------------------------------------------------------------------