%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : PUZ135_2 : TPTP v9.0.0. Released v5.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n016.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 05:23:30 AM UTC 2025
% Result : Theorem 0.18s 0.38s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : PUZ135_2 : TPTP v9.0.0. Released v5.1.0.
% 0.06/0.11 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n016.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri Jun 20 02:48:02 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.18/0.38 % SZS status Theorem
% 0.18/0.38 % SZS output start Proof
% 0.18/0.38 tff(d_type, type, (
% 0.18/0.38 d: knowheyan)).
% 0.18/0.38 tff(b_type, type, (
% 0.18/0.38 b: knowheyan)).
% 0.18/0.38 tff(inj_1_type, type, (
% 0.18/0.38 inj_1: place > knowheyan)).
% 0.18/0.38 tff(place_of_type, type, (
% 0.18/0.38 place_of: knowheyan > place)).
% 0.18/0.38 tff(second_type, type, (
% 0.18/0.38 second: place)).
% 0.18/0.38 tff(first_type, type, (
% 0.18/0.38 first: place)).
% 0.18/0.38 tff(c_type, type, (
% 0.18/0.38 c: knowheyan)).
% 0.18/0.38 tff(a_type, type, (
% 0.18/0.38 a: knowheyan)).
% 0.18/0.38 tff(third_type, type, (
% 0.18/0.38 third: place)).
% 0.18/0.38 tff(fourth_type, type, (
% 0.18/0.38 fourth: place)).
% 0.18/0.38 tff(laser_etching_type, type, (
% 0.18/0.38 laser_etching: entry)).
% 0.18/0.38 tff(entry_of_type, type, (
% 0.18/0.38 entry_of: knowheyan > entry)).
% 0.18/0.38 tff(holography_type, type, (
% 0.18/0.38 holography: entry)).
% 0.18/0.38 tff(collage_painting_type, type, (
% 0.18/0.38 collage_painting: entry)).
% 0.18/0.38 tff(reconstituted_materials_sculpture_type, type, (
% 0.18/0.38 reconstituted_materials_sculpture: entry)).
% 0.18/0.38 tff(inj_0_type, type, (
% 0.18/0.38 inj_0: entry > knowheyan)).
% 0.18/0.38 tff(1,plain,
% 0.18/0.38 (![Xk!0: knowheyan] : (inj_1(place_of(Xk!0)) = Xk!0) <=> ![Xk!0: knowheyan] : (inj_1(place_of(Xk!0)) = Xk!0)),
% 0.18/0.38 inference(rewrite,[status(thm)],[])).
% 0.18/0.38 tff(2,plain,
% 0.18/0.38 (![X: knowheyan, Y: knowheyan] : ((X = Y) | (~(place_of(X) = place_of(Y)))) <=> ![Xk!0: knowheyan] : (inj_1(place_of(Xk!0)) = Xk!0)),
% 0.18/0.38 inference(rewrite,[status(thm)],[])).
% 0.18/0.38 tff(3,plain,
% 0.18/0.38 (![X: knowheyan, Y: knowheyan] : ((X = Y) | (~(place_of(X) = place_of(Y)))) <=> ![X: knowheyan, Y: knowheyan] : ((X = Y) | (~(place_of(X) = place_of(Y))))),
% 0.18/0.38 inference(rewrite,[status(thm)],[])).
% 0.18/0.38 tff(4,plain,
% 0.18/0.38 (^[X: knowheyan, Y: knowheyan] : rewrite(((~(X = Y)) => (~(place_of(X) = place_of(Y)))) <=> ((X = Y) | (~(place_of(X) = place_of(Y)))))),
% 0.18/0.38 inference(bind,[status(th)],[])).
% 0.18/0.38 tff(5,plain,
% 0.18/0.38 (![X: knowheyan, Y: knowheyan] : ((~(X = Y)) => (~(place_of(X) = place_of(Y)))) <=> ![X: knowheyan, Y: knowheyan] : ((X = Y) | (~(place_of(X) = place_of(Y))))),
% 0.18/0.38 inference(quant_intro,[status(thm)],[4])).
% 0.18/0.38 tff(6,axiom,(![X: knowheyan, Y: knowheyan] : ((~(X = Y)) => (~(place_of(X) = place_of(Y))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_places')).
% 0.18/0.38 tff(7,plain,
% 0.18/0.38 (![X: knowheyan, Y: knowheyan] : ((X = Y) | (~(place_of(X) = place_of(Y))))),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[6, 5])).
% 0.18/0.38 tff(8,plain,
% 0.18/0.38 (![X: knowheyan, Y: knowheyan] : ((X = Y) | (~(place_of(X) = place_of(Y))))),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[7, 3])).
% 0.18/0.38 tff(9,plain,(
% 0.18/0.38 ![X: knowheyan, Y: knowheyan] : ((X = Y) | (~(place_of(X) = place_of(Y))))),
% 0.18/0.38 inference(skolemize,[status(sab)],[8])).
% 0.18/0.38 tff(10,plain,
% 0.18/0.38 (![Xk!0: knowheyan] : (inj_1(place_of(Xk!0)) = Xk!0)),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[9, 2])).
% 0.18/0.38 tff(11,plain,
% 0.18/0.38 (![Xk!0: knowheyan] : (inj_1(place_of(Xk!0)) = Xk!0)),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[10, 1])).
% 0.18/0.38 tff(12,plain,
% 0.18/0.38 ((~![Xk!0: knowheyan] : (inj_1(place_of(Xk!0)) = Xk!0)) | (inj_1(place_of(d)) = d)),
% 0.18/0.38 inference(quant_inst,[status(thm)],[])).
% 0.18/0.38 tff(13,plain,
% 0.18/0.38 (inj_1(place_of(d)) = d),
% 0.18/0.38 inference(unit_resolution,[status(thm)],[12, 11])).
% 0.18/0.38 tff(14,assumption,(~((b = a) | (b = c) | (place_of(b) = first) | (place_of(b) = second))), introduced(assumption)).
% 0.18/0.38 tff(15,plain,
% 0.18/0.38 (((b = a) | (b = c) | (place_of(b) = first) | (place_of(b) = second)) | (~(place_of(b) = first))),
% 0.18/0.38 inference(tautology,[status(thm)],[])).
% 0.18/0.38 tff(16,plain,
% 0.18/0.38 (~(place_of(b) = first)),
% 0.18/0.38 inference(unit_resolution,[status(thm)],[15, 14])).
% 0.18/0.38 tff(17,plain,
% 0.18/0.38 (((b = a) | (b = c) | (place_of(b) = first) | (place_of(b) = second)) | (~(place_of(b) = second))),
% 0.18/0.38 inference(tautology,[status(thm)],[])).
% 0.18/0.38 tff(18,plain,
% 0.18/0.38 (~(place_of(b) = second)),
% 0.18/0.38 inference(unit_resolution,[status(thm)],[17, 14])).
% 0.18/0.38 tff(19,plain,
% 0.18/0.38 ((~(place_of(b) = third)) <=> (~(place_of(b) = third))),
% 0.18/0.38 inference(rewrite,[status(thm)],[])).
% 0.18/0.38 tff(20,axiom,((~(place_of(b) = third)) & (~(place_of(c) = third))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','third_info')).
% 0.18/0.38 tff(21,plain,
% 0.18/0.38 (~(place_of(b) = third)),
% 0.18/0.38 inference(and_elim,[status(thm)],[20])).
% 0.18/0.38 tff(22,plain,
% 0.18/0.38 (~(place_of(b) = third)),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[21, 19])).
% 0.18/0.38 tff(23,plain,
% 0.18/0.38 ((~(place_of(b) = fourth)) <=> (~(place_of(b) = fourth))),
% 0.18/0.38 inference(rewrite,[status(thm)],[])).
% 0.18/0.38 tff(24,axiom,((~(place_of(b) = fourth)) & ![X: knowheyan] : ((entry_of(X) = laser_etching) => (~(place_of(X) = fourth)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','fourth_info2')).
% 0.18/0.38 tff(25,plain,
% 0.18/0.38 (~(place_of(b) = fourth)),
% 0.18/0.38 inference(and_elim,[status(thm)],[24])).
% 0.18/0.38 tff(26,plain,
% 0.18/0.38 (~(place_of(b) = fourth)),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[25, 23])).
% 0.18/0.38 tff(27,plain,
% 0.18/0.38 (![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first)) <=> ![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))),
% 0.18/0.38 inference(rewrite,[status(thm)],[])).
% 0.18/0.38 tff(28,plain,
% 0.18/0.38 (^[X: place] : trans(monotonicity(rewrite((((X = first) | (X = second)) | (X = third)) <=> ((X = third) | (X = second) | (X = first))), (((((X = first) | (X = second)) | (X = third)) | (X = fourth)) <=> (((X = third) | (X = second) | (X = first)) | (X = fourth)))), rewrite((((X = third) | (X = second) | (X = first)) | (X = fourth)) <=> ((X = fourth) | (X = third) | (X = second) | (X = first))), (((((X = first) | (X = second)) | (X = third)) | (X = fourth)) <=> ((X = fourth) | (X = third) | (X = second) | (X = first))))),
% 0.18/0.38 inference(bind,[status(th)],[])).
% 0.18/0.38 tff(29,plain,
% 0.18/0.38 (![X: place] : ((((X = first) | (X = second)) | (X = third)) | (X = fourth)) <=> ![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))),
% 0.18/0.38 inference(quant_intro,[status(thm)],[28])).
% 0.18/0.38 tff(30,axiom,(![X: place] : ((((X = first) | (X = second)) | (X = third)) | (X = fourth))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','only_places')).
% 0.18/0.38 tff(31,plain,
% 0.18/0.38 (![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[30, 29])).
% 0.18/0.38 tff(32,plain,
% 0.18/0.38 (![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[31, 27])).
% 0.18/0.38 tff(33,plain,(
% 0.18/0.38 ![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))),
% 0.18/0.38 inference(skolemize,[status(sab)],[32])).
% 0.18/0.38 tff(34,plain,
% 0.18/0.38 (((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | ((place_of(b) = fourth) | (place_of(b) = third) | (place_of(b) = second) | (place_of(b) = first))) <=> ((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | (place_of(b) = fourth) | (place_of(b) = third) | (place_of(b) = second) | (place_of(b) = first))),
% 0.18/0.38 inference(rewrite,[status(thm)],[])).
% 0.18/0.38 tff(35,plain,
% 0.18/0.38 ((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | ((place_of(b) = fourth) | (place_of(b) = third) | (place_of(b) = second) | (place_of(b) = first))),
% 0.18/0.38 inference(quant_inst,[status(thm)],[])).
% 0.18/0.38 tff(36,plain,
% 0.18/0.38 ((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | (place_of(b) = fourth) | (place_of(b) = third) | (place_of(b) = second) | (place_of(b) = first)),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[35, 34])).
% 0.18/0.38 tff(37,plain,
% 0.18/0.38 ((place_of(b) = second) | (place_of(b) = first)),
% 0.18/0.38 inference(unit_resolution,[status(thm)],[36, 33, 26, 22])).
% 0.18/0.38 tff(38,plain,
% 0.18/0.38 ($false),
% 0.18/0.38 inference(unit_resolution,[status(thm)],[37, 18, 16])).
% 0.18/0.38 tff(39,plain,((b = a) | (b = c) | (place_of(b) = first) | (place_of(b) = second)), inference(lemma,lemma(discharge,[]))).
% 0.18/0.38 tff(40,plain,
% 0.18/0.38 ((~![Xk!0: knowheyan] : (inj_1(place_of(Xk!0)) = Xk!0)) | (inj_1(place_of(c)) = c)),
% 0.18/0.38 inference(quant_inst,[status(thm)],[])).
% 0.18/0.38 tff(41,plain,
% 0.18/0.38 (inj_1(place_of(c)) = c),
% 0.18/0.38 inference(unit_resolution,[status(thm)],[40, 11])).
% 0.18/0.38 tff(42,plain,
% 0.18/0.38 (^[X: knowheyan] : refl(((~(entry_of(X) = collage_painting)) | (~((X = a) | (X = c) | (place_of(X) = first) | (place_of(X) = second)))) <=> ((~(entry_of(X) = collage_painting)) | (~((X = a) | (X = c) | (place_of(X) = first) | (place_of(X) = second)))))),
% 0.18/0.38 inference(bind,[status(th)],[])).
% 0.18/0.38 tff(43,plain,
% 0.18/0.38 (![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | (~((X = a) | (X = c) | (place_of(X) = first) | (place_of(X) = second)))) <=> ![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | (~((X = a) | (X = c) | (place_of(X) = first) | (place_of(X) = second))))),
% 0.18/0.39 inference(quant_intro,[status(thm)],[42])).
% 0.18/0.39 tff(44,plain,
% 0.18/0.39 (^[X: knowheyan] : rewrite(((~(entry_of(X) = collage_painting)) | ((~(X = a)) & (~(X = c)) & (~(place_of(X) = first)) & (~(place_of(X) = second)))) <=> ((~(entry_of(X) = collage_painting)) | (~((X = a) | (X = c) | (place_of(X) = first) | (place_of(X) = second)))))),
% 0.18/0.39 inference(bind,[status(th)],[])).
% 0.18/0.39 tff(45,plain,
% 0.18/0.39 (![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | ((~(X = a)) & (~(X = c)) & (~(place_of(X) = first)) & (~(place_of(X) = second)))) <=> ![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | (~((X = a) | (X = c) | (place_of(X) = first) | (place_of(X) = second))))),
% 0.18/0.39 inference(quant_intro,[status(thm)],[44])).
% 0.18/0.39 tff(46,plain,
% 0.18/0.39 (![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | ((~(X = a)) & (~(X = c)) & (~(place_of(X) = first)) & (~(place_of(X) = second)))) <=> ![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | ((~(X = a)) & (~(X = c)) & (~(place_of(X) = first)) & (~(place_of(X) = second))))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(47,plain,
% 0.18/0.39 (^[X: knowheyan] : trans(monotonicity(trans(monotonicity(rewrite((((~(X = a)) & (~(X = c))) & (~(place_of(X) = first))) <=> ((~(X = a)) & (~(X = c)) & (~(place_of(X) = first)))), (((((~(X = a)) & (~(X = c))) & (~(place_of(X) = first))) & (~(place_of(X) = second))) <=> (((~(X = a)) & (~(X = c)) & (~(place_of(X) = first))) & (~(place_of(X) = second))))), rewrite((((~(X = a)) & (~(X = c)) & (~(place_of(X) = first))) & (~(place_of(X) = second))) <=> ((~(X = a)) & (~(X = c)) & (~(place_of(X) = first)) & (~(place_of(X) = second)))), (((((~(X = a)) & (~(X = c))) & (~(place_of(X) = first))) & (~(place_of(X) = second))) <=> ((~(X = a)) & (~(X = c)) & (~(place_of(X) = first)) & (~(place_of(X) = second))))), (((entry_of(X) = collage_painting) => ((((~(X = a)) & (~(X = c))) & (~(place_of(X) = first))) & (~(place_of(X) = second)))) <=> ((entry_of(X) = collage_painting) => ((~(X = a)) & (~(X = c)) & (~(place_of(X) = first)) & (~(place_of(X) = second)))))), rewrite(((entry_of(X) = collage_painting) => ((~(X = a)) & (~(X = c)) & (~(place_of(X) = first)) & (~(place_of(X) = second)))) <=> ((~(entry_of(X) = collage_painting)) | ((~(X = a)) & (~(X = c)) & (~(place_of(X) = first)) & (~(place_of(X) = second))))), (((entry_of(X) = collage_painting) => ((((~(X = a)) & (~(X = c))) & (~(place_of(X) = first))) & (~(place_of(X) = second)))) <=> ((~(entry_of(X) = collage_painting)) | ((~(X = a)) & (~(X = c)) & (~(place_of(X) = first)) & (~(place_of(X) = second))))))),
% 0.18/0.39 inference(bind,[status(th)],[])).
% 0.18/0.39 tff(48,plain,
% 0.18/0.39 (![X: knowheyan] : ((entry_of(X) = collage_painting) => ((((~(X = a)) & (~(X = c))) & (~(place_of(X) = first))) & (~(place_of(X) = second)))) <=> ![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | ((~(X = a)) & (~(X = c)) & (~(place_of(X) = first)) & (~(place_of(X) = second))))),
% 0.18/0.39 inference(quant_intro,[status(thm)],[47])).
% 0.18/0.39 tff(49,axiom,(![X: knowheyan] : ((entry_of(X) = collage_painting) => ((((~(X = a)) & (~(X = c))) & (~(place_of(X) = first))) & (~(place_of(X) = second))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','collage_info')).
% 0.18/0.39 tff(50,plain,
% 0.18/0.39 (![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | ((~(X = a)) & (~(X = c)) & (~(place_of(X) = first)) & (~(place_of(X) = second))))),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[49, 48])).
% 0.18/0.39 tff(51,plain,
% 0.18/0.39 (![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | ((~(X = a)) & (~(X = c)) & (~(place_of(X) = first)) & (~(place_of(X) = second))))),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[50, 46])).
% 0.18/0.39 tff(52,plain,(
% 0.18/0.39 ![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | ((~(X = a)) & (~(X = c)) & (~(place_of(X) = first)) & (~(place_of(X) = second))))),
% 0.18/0.39 inference(skolemize,[status(sab)],[51])).
% 0.18/0.39 tff(53,plain,
% 0.18/0.39 (![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | (~((X = a) | (X = c) | (place_of(X) = first) | (place_of(X) = second))))),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[52, 45])).
% 0.18/0.39 tff(54,plain,
% 0.18/0.39 (![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | (~((X = a) | (X = c) | (place_of(X) = first) | (place_of(X) = second))))),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[53, 43])).
% 0.18/0.39 tff(55,plain,
% 0.18/0.39 (((~![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | (~((X = a) | (X = c) | (place_of(X) = first) | (place_of(X) = second))))) | ((~(entry_of(b) = collage_painting)) | (~((b = a) | (b = c) | (place_of(b) = first) | (place_of(b) = second))))) <=> ((~![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | (~((X = a) | (X = c) | (place_of(X) = first) | (place_of(X) = second))))) | (~(entry_of(b) = collage_painting)) | (~((b = a) | (b = c) | (place_of(b) = first) | (place_of(b) = second))))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(56,plain,
% 0.18/0.39 ((~![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | (~((X = a) | (X = c) | (place_of(X) = first) | (place_of(X) = second))))) | ((~(entry_of(b) = collage_painting)) | (~((b = a) | (b = c) | (place_of(b) = first) | (place_of(b) = second))))),
% 0.18/0.39 inference(quant_inst,[status(thm)],[])).
% 0.18/0.39 tff(57,plain,
% 0.18/0.39 ((~![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | (~((X = a) | (X = c) | (place_of(X) = first) | (place_of(X) = second))))) | (~(entry_of(b) = collage_painting)) | (~((b = a) | (b = c) | (place_of(b) = first) | (place_of(b) = second)))),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[56, 55])).
% 0.18/0.39 tff(58,plain,
% 0.18/0.39 ((~(entry_of(b) = collage_painting)) | (~((b = a) | (b = c) | (place_of(b) = first) | (place_of(b) = second)))),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[57, 54])).
% 0.18/0.39 tff(59,plain,
% 0.18/0.39 (~(entry_of(b) = collage_painting)),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[58, 39])).
% 0.18/0.39 tff(60,plain,
% 0.18/0.39 (![Xk!0: knowheyan] : (inj_0(entry_of(Xk!0)) = Xk!0) <=> ![Xk!0: knowheyan] : (inj_0(entry_of(Xk!0)) = Xk!0)),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(61,plain,
% 0.18/0.39 (![X: knowheyan, Y: knowheyan] : ((~(entry_of(X) = entry_of(Y))) | (X = Y)) <=> ![Xk!0: knowheyan] : (inj_0(entry_of(Xk!0)) = Xk!0)),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(62,plain,
% 0.18/0.39 (![X: knowheyan, Y: knowheyan] : ((~(entry_of(X) = entry_of(Y))) | (X = Y)) <=> ![X: knowheyan, Y: knowheyan] : ((~(entry_of(X) = entry_of(Y))) | (X = Y))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(63,plain,
% 0.18/0.39 (^[X: knowheyan, Y: knowheyan] : rewrite(((~(X = Y)) => (~(entry_of(X) = entry_of(Y)))) <=> ((~(entry_of(X) = entry_of(Y))) | (X = Y)))),
% 0.18/0.39 inference(bind,[status(th)],[])).
% 0.18/0.39 tff(64,plain,
% 0.18/0.39 (![X: knowheyan, Y: knowheyan] : ((~(X = Y)) => (~(entry_of(X) = entry_of(Y)))) <=> ![X: knowheyan, Y: knowheyan] : ((~(entry_of(X) = entry_of(Y))) | (X = Y))),
% 0.18/0.39 inference(quant_intro,[status(thm)],[63])).
% 0.18/0.39 tff(65,axiom,(![X: knowheyan, Y: knowheyan] : ((~(X = Y)) => (~(entry_of(X) = entry_of(Y))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_entrys')).
% 0.18/0.39 tff(66,plain,
% 0.18/0.39 (![X: knowheyan, Y: knowheyan] : ((~(entry_of(X) = entry_of(Y))) | (X = Y))),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[65, 64])).
% 0.18/0.39 tff(67,plain,
% 0.18/0.39 (![X: knowheyan, Y: knowheyan] : ((~(entry_of(X) = entry_of(Y))) | (X = Y))),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[66, 62])).
% 0.18/0.39 tff(68,plain,(
% 0.18/0.39 ![X: knowheyan, Y: knowheyan] : ((~(entry_of(X) = entry_of(Y))) | (X = Y))),
% 0.18/0.39 inference(skolemize,[status(sab)],[67])).
% 0.18/0.39 tff(69,plain,
% 0.18/0.39 (![Xk!0: knowheyan] : (inj_0(entry_of(Xk!0)) = Xk!0)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[68, 61])).
% 0.18/0.39 tff(70,plain,
% 0.18/0.39 (![Xk!0: knowheyan] : (inj_0(entry_of(Xk!0)) = Xk!0)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[69, 60])).
% 0.18/0.39 tff(71,plain,
% 0.18/0.39 ((~![Xk!0: knowheyan] : (inj_0(entry_of(Xk!0)) = Xk!0)) | (inj_0(entry_of(b)) = b)),
% 0.18/0.39 inference(quant_inst,[status(thm)],[])).
% 0.18/0.39 tff(72,plain,
% 0.18/0.39 (inj_0(entry_of(b)) = b),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[71, 70])).
% 0.18/0.39 tff(73,plain,
% 0.18/0.39 (((~![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | (~((X = a) | (X = c) | (place_of(X) = first) | (place_of(X) = second))))) | (~(entry_of(a) = collage_painting))) <=> ((~![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | (~((X = a) | (X = c) | (place_of(X) = first) | (place_of(X) = second))))) | (~(entry_of(a) = collage_painting)))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(74,plain,
% 0.18/0.39 (((~(entry_of(a) = collage_painting)) | $false) <=> (~(entry_of(a) = collage_painting))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(75,plain,
% 0.18/0.39 ((~$true) <=> $false),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(76,plain,
% 0.18/0.39 (($true | (a = c) | (place_of(a) = first) | (place_of(a) = second)) <=> $true),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(77,plain,
% 0.18/0.39 ((a = a) <=> $true),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(78,plain,
% 0.18/0.39 (((a = a) | (a = c) | (place_of(a) = first) | (place_of(a) = second)) <=> ($true | (a = c) | (place_of(a) = first) | (place_of(a) = second))),
% 0.18/0.39 inference(monotonicity,[status(thm)],[77])).
% 0.18/0.39 tff(79,plain,
% 0.18/0.39 (((a = a) | (a = c) | (place_of(a) = first) | (place_of(a) = second)) <=> $true),
% 0.18/0.39 inference(transitivity,[status(thm)],[78, 76])).
% 0.18/0.39 tff(80,plain,
% 0.18/0.39 ((~((a = a) | (a = c) | (place_of(a) = first) | (place_of(a) = second))) <=> (~$true)),
% 0.18/0.39 inference(monotonicity,[status(thm)],[79])).
% 0.18/0.39 tff(81,plain,
% 0.18/0.39 ((~((a = a) | (a = c) | (place_of(a) = first) | (place_of(a) = second))) <=> $false),
% 0.18/0.39 inference(transitivity,[status(thm)],[80, 75])).
% 0.18/0.39 tff(82,plain,
% 0.18/0.39 (((~(entry_of(a) = collage_painting)) | (~((a = a) | (a = c) | (place_of(a) = first) | (place_of(a) = second)))) <=> ((~(entry_of(a) = collage_painting)) | $false)),
% 0.18/0.39 inference(monotonicity,[status(thm)],[81])).
% 0.18/0.39 tff(83,plain,
% 0.18/0.39 (((~(entry_of(a) = collage_painting)) | (~((a = a) | (a = c) | (place_of(a) = first) | (place_of(a) = second)))) <=> (~(entry_of(a) = collage_painting))),
% 0.18/0.39 inference(transitivity,[status(thm)],[82, 74])).
% 0.18/0.39 tff(84,plain,
% 0.18/0.39 (((~![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | (~((X = a) | (X = c) | (place_of(X) = first) | (place_of(X) = second))))) | ((~(entry_of(a) = collage_painting)) | (~((a = a) | (a = c) | (place_of(a) = first) | (place_of(a) = second))))) <=> ((~![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | (~((X = a) | (X = c) | (place_of(X) = first) | (place_of(X) = second))))) | (~(entry_of(a) = collage_painting)))),
% 0.18/0.39 inference(monotonicity,[status(thm)],[83])).
% 0.18/0.39 tff(85,plain,
% 0.18/0.39 (((~![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | (~((X = a) | (X = c) | (place_of(X) = first) | (place_of(X) = second))))) | ((~(entry_of(a) = collage_painting)) | (~((a = a) | (a = c) | (place_of(a) = first) | (place_of(a) = second))))) <=> ((~![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | (~((X = a) | (X = c) | (place_of(X) = first) | (place_of(X) = second))))) | (~(entry_of(a) = collage_painting)))),
% 0.18/0.39 inference(transitivity,[status(thm)],[84, 73])).
% 0.18/0.39 tff(86,plain,
% 0.18/0.39 ((~![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | (~((X = a) | (X = c) | (place_of(X) = first) | (place_of(X) = second))))) | ((~(entry_of(a) = collage_painting)) | (~((a = a) | (a = c) | (place_of(a) = first) | (place_of(a) = second))))),
% 0.18/0.39 inference(quant_inst,[status(thm)],[])).
% 0.18/0.39 tff(87,plain,
% 0.18/0.39 ((~![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | (~((X = a) | (X = c) | (place_of(X) = first) | (place_of(X) = second))))) | (~(entry_of(a) = collage_painting))),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[86, 85])).
% 0.18/0.39 tff(88,plain,
% 0.18/0.39 (~(entry_of(a) = collage_painting)),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[87, 54])).
% 0.18/0.39 tff(89,plain,
% 0.18/0.39 (^[X: knowheyan] : refl(((~(entry_of(X) = laser_etching)) | (~((X = a) | (place_of(X) = second)))) <=> ((~(entry_of(X) = laser_etching)) | (~((X = a) | (place_of(X) = second)))))),
% 0.18/0.39 inference(bind,[status(th)],[])).
% 0.18/0.39 tff(90,plain,
% 0.18/0.39 (![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~((X = a) | (place_of(X) = second)))) <=> ![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~((X = a) | (place_of(X) = second))))),
% 0.18/0.39 inference(quant_intro,[status(thm)],[89])).
% 0.18/0.39 tff(91,plain,
% 0.18/0.39 (^[X: knowheyan] : rewrite(((~(entry_of(X) = laser_etching)) | ((~(X = a)) & (~(place_of(X) = second)))) <=> ((~(entry_of(X) = laser_etching)) | (~((X = a) | (place_of(X) = second)))))),
% 0.18/0.39 inference(bind,[status(th)],[])).
% 0.18/0.39 tff(92,plain,
% 0.18/0.39 (![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | ((~(X = a)) & (~(place_of(X) = second)))) <=> ![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~((X = a) | (place_of(X) = second))))),
% 0.18/0.39 inference(quant_intro,[status(thm)],[91])).
% 0.18/0.39 tff(93,plain,
% 0.18/0.39 (![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | ((~(X = a)) & (~(place_of(X) = second)))) <=> ![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | ((~(X = a)) & (~(place_of(X) = second))))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(94,plain,
% 0.18/0.39 (^[X: knowheyan] : rewrite(((entry_of(X) = laser_etching) => ((~(X = a)) & (~(place_of(X) = second)))) <=> ((~(entry_of(X) = laser_etching)) | ((~(X = a)) & (~(place_of(X) = second)))))),
% 0.18/0.39 inference(bind,[status(th)],[])).
% 0.18/0.39 tff(95,plain,
% 0.18/0.39 (![X: knowheyan] : ((entry_of(X) = laser_etching) => ((~(X = a)) & (~(place_of(X) = second)))) <=> ![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | ((~(X = a)) & (~(place_of(X) = second))))),
% 0.18/0.39 inference(quant_intro,[status(thm)],[94])).
% 0.18/0.39 tff(96,axiom,((~(entry_of(b) = laser_etching)) & ![X: knowheyan] : ((entry_of(X) = laser_etching) => ((~(X = a)) & (~(place_of(X) = second))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','laser_etching_info')).
% 0.18/0.39 tff(97,plain,
% 0.18/0.39 (![X: knowheyan] : ((entry_of(X) = laser_etching) => ((~(X = a)) & (~(place_of(X) = second))))),
% 0.18/0.39 inference(and_elim,[status(thm)],[96])).
% 0.18/0.39 tff(98,plain,
% 0.18/0.39 (![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | ((~(X = a)) & (~(place_of(X) = second))))),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[97, 95])).
% 0.18/0.39 tff(99,plain,
% 0.18/0.39 (![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | ((~(X = a)) & (~(place_of(X) = second))))),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[98, 93])).
% 0.18/0.39 tff(100,plain,(
% 0.18/0.39 ![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | ((~(X = a)) & (~(place_of(X) = second))))),
% 0.18/0.39 inference(skolemize,[status(sab)],[99])).
% 0.18/0.39 tff(101,plain,
% 0.18/0.39 (![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~((X = a) | (place_of(X) = second))))),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[100, 92])).
% 0.18/0.39 tff(102,plain,
% 0.18/0.39 (![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~((X = a) | (place_of(X) = second))))),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[101, 90])).
% 0.18/0.39 tff(103,plain,
% 0.18/0.39 (((~![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~((X = a) | (place_of(X) = second))))) | (~(entry_of(a) = laser_etching))) <=> ((~![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~((X = a) | (place_of(X) = second))))) | (~(entry_of(a) = laser_etching)))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(104,plain,
% 0.18/0.39 (((~(entry_of(a) = laser_etching)) | $false) <=> (~(entry_of(a) = laser_etching))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(105,plain,
% 0.18/0.39 (($true | (place_of(a) = second)) <=> $true),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(106,plain,
% 0.18/0.39 (((a = a) | (place_of(a) = second)) <=> ($true | (place_of(a) = second))),
% 0.18/0.39 inference(monotonicity,[status(thm)],[77])).
% 0.18/0.39 tff(107,plain,
% 0.18/0.39 (((a = a) | (place_of(a) = second)) <=> $true),
% 0.18/0.39 inference(transitivity,[status(thm)],[106, 105])).
% 0.18/0.39 tff(108,plain,
% 0.18/0.39 ((~((a = a) | (place_of(a) = second))) <=> (~$true)),
% 0.18/0.39 inference(monotonicity,[status(thm)],[107])).
% 0.18/0.39 tff(109,plain,
% 0.18/0.39 ((~((a = a) | (place_of(a) = second))) <=> $false),
% 0.18/0.39 inference(transitivity,[status(thm)],[108, 75])).
% 0.18/0.39 tff(110,plain,
% 0.18/0.39 (((~(entry_of(a) = laser_etching)) | (~((a = a) | (place_of(a) = second)))) <=> ((~(entry_of(a) = laser_etching)) | $false)),
% 0.18/0.39 inference(monotonicity,[status(thm)],[109])).
% 0.18/0.39 tff(111,plain,
% 0.18/0.39 (((~(entry_of(a) = laser_etching)) | (~((a = a) | (place_of(a) = second)))) <=> (~(entry_of(a) = laser_etching))),
% 0.18/0.39 inference(transitivity,[status(thm)],[110, 104])).
% 0.18/0.39 tff(112,plain,
% 0.18/0.39 (((~![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~((X = a) | (place_of(X) = second))))) | ((~(entry_of(a) = laser_etching)) | (~((a = a) | (place_of(a) = second))))) <=> ((~![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~((X = a) | (place_of(X) = second))))) | (~(entry_of(a) = laser_etching)))),
% 0.18/0.39 inference(monotonicity,[status(thm)],[111])).
% 0.18/0.40 tff(113,plain,
% 0.18/0.40 (((~![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~((X = a) | (place_of(X) = second))))) | ((~(entry_of(a) = laser_etching)) | (~((a = a) | (place_of(a) = second))))) <=> ((~![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~((X = a) | (place_of(X) = second))))) | (~(entry_of(a) = laser_etching)))),
% 0.18/0.40 inference(transitivity,[status(thm)],[112, 103])).
% 0.18/0.40 tff(114,plain,
% 0.18/0.40 ((~![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~((X = a) | (place_of(X) = second))))) | ((~(entry_of(a) = laser_etching)) | (~((a = a) | (place_of(a) = second))))),
% 0.18/0.40 inference(quant_inst,[status(thm)],[])).
% 0.18/0.40 tff(115,plain,
% 0.18/0.40 ((~![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~((X = a) | (place_of(X) = second))))) | (~(entry_of(a) = laser_etching))),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[114, 113])).
% 0.18/0.40 tff(116,plain,
% 0.18/0.40 (~(entry_of(a) = laser_etching)),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[115, 102])).
% 0.18/0.40 tff(117,plain,
% 0.18/0.40 ((~(entry_of(a) = holography)) <=> (~(entry_of(a) = holography))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(118,axiom,((~(place_of(a) = first)) & (~(entry_of(a) = holography))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','a_info')).
% 0.18/0.40 tff(119,plain,
% 0.18/0.40 (~(entry_of(a) = holography)),
% 0.18/0.40 inference(and_elim,[status(thm)],[118])).
% 0.18/0.40 tff(120,plain,
% 0.18/0.40 (~(entry_of(a) = holography)),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[119, 117])).
% 0.18/0.40 tff(121,plain,
% 0.18/0.40 (![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting)) <=> ![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(122,plain,
% 0.18/0.40 (^[X: entry] : trans(monotonicity(rewrite((((X = collage_painting) | (X = holography)) | (X = laser_etching)) <=> ((X = laser_etching) | (X = holography) | (X = collage_painting))), (((((X = collage_painting) | (X = holography)) | (X = laser_etching)) | (X = reconstituted_materials_sculpture)) <=> (((X = laser_etching) | (X = holography) | (X = collage_painting)) | (X = reconstituted_materials_sculpture)))), rewrite((((X = laser_etching) | (X = holography) | (X = collage_painting)) | (X = reconstituted_materials_sculpture)) <=> ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))), (((((X = collage_painting) | (X = holography)) | (X = laser_etching)) | (X = reconstituted_materials_sculpture)) <=> ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))))),
% 0.18/0.40 inference(bind,[status(th)],[])).
% 0.18/0.40 tff(123,plain,
% 0.18/0.40 (![X: entry] : ((((X = collage_painting) | (X = holography)) | (X = laser_etching)) | (X = reconstituted_materials_sculpture)) <=> ![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))),
% 0.18/0.40 inference(quant_intro,[status(thm)],[122])).
% 0.18/0.40 tff(124,axiom,(![X: entry] : ((((X = collage_painting) | (X = holography)) | (X = laser_etching)) | (X = reconstituted_materials_sculpture))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','only_entries')).
% 0.18/0.40 tff(125,plain,
% 0.18/0.40 (![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[124, 123])).
% 0.18/0.40 tff(126,plain,
% 0.18/0.40 (![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[125, 121])).
% 0.18/0.40 tff(127,plain,(
% 0.18/0.40 ![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))),
% 0.18/0.40 inference(skolemize,[status(sab)],[126])).
% 0.18/0.40 tff(128,plain,
% 0.18/0.40 (((~![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))) | ((entry_of(a) = holography) | (entry_of(a) = laser_etching) | (entry_of(a) = collage_painting) | (entry_of(a) = reconstituted_materials_sculpture))) <=> ((~![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))) | (entry_of(a) = holography) | (entry_of(a) = laser_etching) | (entry_of(a) = collage_painting) | (entry_of(a) = reconstituted_materials_sculpture))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(129,plain,
% 0.18/0.40 (((entry_of(a) = reconstituted_materials_sculpture) | (entry_of(a) = laser_etching) | (entry_of(a) = holography) | (entry_of(a) = collage_painting)) <=> ((entry_of(a) = holography) | (entry_of(a) = laser_etching) | (entry_of(a) = collage_painting) | (entry_of(a) = reconstituted_materials_sculpture))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(130,plain,
% 0.18/0.40 (((~![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))) | ((entry_of(a) = reconstituted_materials_sculpture) | (entry_of(a) = laser_etching) | (entry_of(a) = holography) | (entry_of(a) = collage_painting))) <=> ((~![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))) | ((entry_of(a) = holography) | (entry_of(a) = laser_etching) | (entry_of(a) = collage_painting) | (entry_of(a) = reconstituted_materials_sculpture)))),
% 0.18/0.40 inference(monotonicity,[status(thm)],[129])).
% 0.18/0.40 tff(131,plain,
% 0.18/0.40 (((~![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))) | ((entry_of(a) = reconstituted_materials_sculpture) | (entry_of(a) = laser_etching) | (entry_of(a) = holography) | (entry_of(a) = collage_painting))) <=> ((~![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))) | (entry_of(a) = holography) | (entry_of(a) = laser_etching) | (entry_of(a) = collage_painting) | (entry_of(a) = reconstituted_materials_sculpture))),
% 0.18/0.40 inference(transitivity,[status(thm)],[130, 128])).
% 0.18/0.40 tff(132,plain,
% 0.18/0.40 ((~![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))) | ((entry_of(a) = reconstituted_materials_sculpture) | (entry_of(a) = laser_etching) | (entry_of(a) = holography) | (entry_of(a) = collage_painting))),
% 0.18/0.40 inference(quant_inst,[status(thm)],[])).
% 0.18/0.40 tff(133,plain,
% 0.18/0.40 ((~![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))) | (entry_of(a) = holography) | (entry_of(a) = laser_etching) | (entry_of(a) = collage_painting) | (entry_of(a) = reconstituted_materials_sculpture)),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[132, 131])).
% 0.18/0.40 tff(134,plain,
% 0.18/0.40 (entry_of(a) = reconstituted_materials_sculpture),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[133, 127, 120, 116, 88])).
% 0.18/0.40 tff(135,plain,
% 0.18/0.40 (reconstituted_materials_sculpture = entry_of(a)),
% 0.18/0.40 inference(symmetry,[status(thm)],[134])).
% 0.18/0.40 tff(136,assumption,(entry_of(b) = reconstituted_materials_sculpture), introduced(assumption)).
% 0.18/0.40 tff(137,plain,
% 0.18/0.40 (entry_of(b) = entry_of(a)),
% 0.18/0.40 inference(transitivity,[status(thm)],[136, 135])).
% 0.18/0.40 tff(138,plain,
% 0.18/0.40 (inj_0(entry_of(b)) = inj_0(entry_of(a))),
% 0.18/0.40 inference(monotonicity,[status(thm)],[137])).
% 0.18/0.40 tff(139,plain,
% 0.18/0.40 (inj_0(entry_of(a)) = inj_0(entry_of(b))),
% 0.18/0.40 inference(symmetry,[status(thm)],[138])).
% 0.18/0.40 tff(140,plain,
% 0.18/0.40 ((~![Xk!0: knowheyan] : (inj_0(entry_of(Xk!0)) = Xk!0)) | (inj_0(entry_of(a)) = a)),
% 0.18/0.40 inference(quant_inst,[status(thm)],[])).
% 0.18/0.40 tff(141,plain,
% 0.18/0.40 (inj_0(entry_of(a)) = a),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[140, 70])).
% 0.18/0.40 tff(142,plain,
% 0.18/0.40 (a = inj_0(entry_of(a))),
% 0.18/0.40 inference(symmetry,[status(thm)],[141])).
% 0.18/0.40 tff(143,plain,
% 0.18/0.40 (a = b),
% 0.18/0.40 inference(transitivity,[status(thm)],[142, 139, 72])).
% 0.18/0.40 tff(144,plain,
% 0.18/0.40 ((~(a = b)) <=> (~(a = b))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(145,axiom,(~(a = b)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','a_not_b')).
% 0.18/0.40 tff(146,plain,
% 0.18/0.40 (~(a = b)),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[145, 144])).
% 0.18/0.40 tff(147,plain,
% 0.18/0.40 ($false),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[146, 143])).
% 0.18/0.40 tff(148,plain,(~(entry_of(b) = reconstituted_materials_sculpture)), inference(lemma,lemma(discharge,[]))).
% 0.18/0.40 tff(149,plain,
% 0.18/0.40 ((~(entry_of(b) = laser_etching)) <=> (~(entry_of(b) = laser_etching))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(150,plain,
% 0.18/0.40 (~(entry_of(b) = laser_etching)),
% 0.18/0.40 inference(and_elim,[status(thm)],[96])).
% 0.18/0.40 tff(151,plain,
% 0.18/0.40 (~(entry_of(b) = laser_etching)),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[150, 149])).
% 0.18/0.40 tff(152,plain,
% 0.18/0.40 (((~![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))) | ((entry_of(b) = laser_etching) | (entry_of(b) = collage_painting) | (entry_of(b) = reconstituted_materials_sculpture) | (entry_of(b) = holography))) <=> ((~![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))) | (entry_of(b) = laser_etching) | (entry_of(b) = collage_painting) | (entry_of(b) = reconstituted_materials_sculpture) | (entry_of(b) = holography))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(153,plain,
% 0.18/0.40 (((entry_of(b) = reconstituted_materials_sculpture) | (entry_of(b) = laser_etching) | (entry_of(b) = holography) | (entry_of(b) = collage_painting)) <=> ((entry_of(b) = laser_etching) | (entry_of(b) = collage_painting) | (entry_of(b) = reconstituted_materials_sculpture) | (entry_of(b) = holography))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(154,plain,
% 0.18/0.40 (((~![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))) | ((entry_of(b) = reconstituted_materials_sculpture) | (entry_of(b) = laser_etching) | (entry_of(b) = holography) | (entry_of(b) = collage_painting))) <=> ((~![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))) | ((entry_of(b) = laser_etching) | (entry_of(b) = collage_painting) | (entry_of(b) = reconstituted_materials_sculpture) | (entry_of(b) = holography)))),
% 0.18/0.40 inference(monotonicity,[status(thm)],[153])).
% 0.18/0.40 tff(155,plain,
% 0.18/0.40 (((~![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))) | ((entry_of(b) = reconstituted_materials_sculpture) | (entry_of(b) = laser_etching) | (entry_of(b) = holography) | (entry_of(b) = collage_painting))) <=> ((~![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))) | (entry_of(b) = laser_etching) | (entry_of(b) = collage_painting) | (entry_of(b) = reconstituted_materials_sculpture) | (entry_of(b) = holography))),
% 0.18/0.40 inference(transitivity,[status(thm)],[154, 152])).
% 0.18/0.40 tff(156,plain,
% 0.18/0.40 ((~![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))) | ((entry_of(b) = reconstituted_materials_sculpture) | (entry_of(b) = laser_etching) | (entry_of(b) = holography) | (entry_of(b) = collage_painting))),
% 0.18/0.40 inference(quant_inst,[status(thm)],[])).
% 0.18/0.40 tff(157,plain,
% 0.18/0.40 ((~![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))) | (entry_of(b) = laser_etching) | (entry_of(b) = collage_painting) | (entry_of(b) = reconstituted_materials_sculpture) | (entry_of(b) = holography)),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[156, 155])).
% 0.18/0.40 tff(158,plain,
% 0.18/0.40 ((entry_of(b) = collage_painting) | (entry_of(b) = reconstituted_materials_sculpture) | (entry_of(b) = holography)),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[157, 127, 151])).
% 0.18/0.40 tff(159,plain,
% 0.18/0.40 ((entry_of(b) = collage_painting) | (entry_of(b) = holography)),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[158, 148])).
% 0.18/0.40 tff(160,plain,
% 0.18/0.40 (entry_of(b) = holography),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[159, 59])).
% 0.18/0.40 tff(161,plain,
% 0.18/0.40 ((~![Xk!0: knowheyan] : (inj_0(entry_of(Xk!0)) = Xk!0)) | (inj_0(entry_of(c)) = c)),
% 0.18/0.40 inference(quant_inst,[status(thm)],[])).
% 0.18/0.40 tff(162,plain,
% 0.18/0.40 (inj_0(entry_of(c)) = c),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[161, 70])).
% 0.18/0.40 tff(163,assumption,(entry_of(c) = holography), introduced(assumption)).
% 0.18/0.40 tff(164,plain,
% 0.18/0.40 (holography = entry_of(c)),
% 0.18/0.40 inference(symmetry,[status(thm)],[163])).
% 0.18/0.40 tff(165,assumption,(entry_of(b) = holography), introduced(assumption)).
% 0.18/0.40 tff(166,plain,
% 0.18/0.40 (entry_of(b) = entry_of(c)),
% 0.18/0.40 inference(transitivity,[status(thm)],[165, 164])).
% 0.18/0.40 tff(167,plain,
% 0.18/0.40 (inj_0(entry_of(b)) = inj_0(entry_of(c))),
% 0.18/0.40 inference(monotonicity,[status(thm)],[166])).
% 0.18/0.40 tff(168,plain,
% 0.18/0.40 (b = inj_0(entry_of(b))),
% 0.18/0.40 inference(symmetry,[status(thm)],[72])).
% 0.18/0.40 tff(169,plain,
% 0.18/0.40 (b = c),
% 0.18/0.40 inference(transitivity,[status(thm)],[168, 167, 162])).
% 0.18/0.40 tff(170,plain,
% 0.18/0.40 ((~(b = c)) <=> (~(b = c))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(171,axiom,(~(b = c)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','b_not_c')).
% 0.18/0.40 tff(172,plain,
% 0.18/0.40 (~(b = c)),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[171, 170])).
% 0.18/0.40 tff(173,plain,
% 0.18/0.40 ($false),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[172, 169])).
% 0.18/0.40 tff(174,plain,((~(entry_of(b) = holography)) | (~(entry_of(c) = holography))), inference(lemma,lemma(discharge,[]))).
% 0.18/0.40 tff(175,plain,
% 0.18/0.40 (~(entry_of(c) = holography)),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[174, 160])).
% 0.18/0.40 tff(176,assumption,(entry_of(c) = reconstituted_materials_sculpture), introduced(assumption)).
% 0.18/0.40 tff(177,plain,
% 0.18/0.40 (entry_of(c) = entry_of(a)),
% 0.18/0.40 inference(transitivity,[status(thm)],[176, 135])).
% 0.18/0.40 tff(178,plain,
% 0.18/0.40 (inj_0(entry_of(c)) = inj_0(entry_of(a))),
% 0.18/0.40 inference(monotonicity,[status(thm)],[177])).
% 0.18/0.40 tff(179,plain,
% 0.18/0.40 (inj_0(entry_of(a)) = inj_0(entry_of(c))),
% 0.18/0.40 inference(symmetry,[status(thm)],[178])).
% 0.18/0.40 tff(180,plain,
% 0.18/0.40 (a = c),
% 0.18/0.40 inference(transitivity,[status(thm)],[142, 179, 162])).
% 0.18/0.40 tff(181,plain,
% 0.18/0.40 ((~(a = c)) <=> (~(a = c))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(182,axiom,(~(a = c)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','a_not_c')).
% 0.18/0.40 tff(183,plain,
% 0.18/0.40 (~(a = c)),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[182, 181])).
% 0.18/0.40 tff(184,plain,
% 0.18/0.40 ($false),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[183, 180])).
% 0.18/0.40 tff(185,plain,(~(entry_of(c) = reconstituted_materials_sculpture)), inference(lemma,lemma(discharge,[]))).
% 0.18/0.40 tff(186,plain,
% 0.18/0.40 (((~![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | (~((X = a) | (X = c) | (place_of(X) = first) | (place_of(X) = second))))) | (~(entry_of(c) = collage_painting))) <=> ((~![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | (~((X = a) | (X = c) | (place_of(X) = first) | (place_of(X) = second))))) | (~(entry_of(c) = collage_painting)))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(187,plain,
% 0.18/0.40 (((~(entry_of(c) = collage_painting)) | $false) <=> (~(entry_of(c) = collage_painting))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(188,plain,
% 0.18/0.40 (((c = a) | $true | (place_of(c) = first) | (place_of(c) = second)) <=> $true),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(189,plain,
% 0.18/0.40 ((c = c) <=> $true),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(190,plain,
% 0.18/0.40 (((c = a) | (c = c) | (place_of(c) = first) | (place_of(c) = second)) <=> ((c = a) | $true | (place_of(c) = first) | (place_of(c) = second))),
% 0.18/0.40 inference(monotonicity,[status(thm)],[189])).
% 0.18/0.40 tff(191,plain,
% 0.18/0.40 (((c = a) | (c = c) | (place_of(c) = first) | (place_of(c) = second)) <=> $true),
% 0.18/0.40 inference(transitivity,[status(thm)],[190, 188])).
% 0.18/0.40 tff(192,plain,
% 0.18/0.40 ((~((c = a) | (c = c) | (place_of(c) = first) | (place_of(c) = second))) <=> (~$true)),
% 0.18/0.40 inference(monotonicity,[status(thm)],[191])).
% 0.18/0.40 tff(193,plain,
% 0.18/0.40 ((~((c = a) | (c = c) | (place_of(c) = first) | (place_of(c) = second))) <=> $false),
% 0.18/0.40 inference(transitivity,[status(thm)],[192, 75])).
% 0.18/0.40 tff(194,plain,
% 0.18/0.40 (((~(entry_of(c) = collage_painting)) | (~((c = a) | (c = c) | (place_of(c) = first) | (place_of(c) = second)))) <=> ((~(entry_of(c) = collage_painting)) | $false)),
% 0.18/0.40 inference(monotonicity,[status(thm)],[193])).
% 0.18/0.40 tff(195,plain,
% 0.18/0.40 (((~(entry_of(c) = collage_painting)) | (~((c = a) | (c = c) | (place_of(c) = first) | (place_of(c) = second)))) <=> (~(entry_of(c) = collage_painting))),
% 0.18/0.41 inference(transitivity,[status(thm)],[194, 187])).
% 0.18/0.41 tff(196,plain,
% 0.18/0.41 (((~![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | (~((X = a) | (X = c) | (place_of(X) = first) | (place_of(X) = second))))) | ((~(entry_of(c) = collage_painting)) | (~((c = a) | (c = c) | (place_of(c) = first) | (place_of(c) = second))))) <=> ((~![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | (~((X = a) | (X = c) | (place_of(X) = first) | (place_of(X) = second))))) | (~(entry_of(c) = collage_painting)))),
% 0.18/0.41 inference(monotonicity,[status(thm)],[195])).
% 0.18/0.41 tff(197,plain,
% 0.18/0.41 (((~![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | (~((X = a) | (X = c) | (place_of(X) = first) | (place_of(X) = second))))) | ((~(entry_of(c) = collage_painting)) | (~((c = a) | (c = c) | (place_of(c) = first) | (place_of(c) = second))))) <=> ((~![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | (~((X = a) | (X = c) | (place_of(X) = first) | (place_of(X) = second))))) | (~(entry_of(c) = collage_painting)))),
% 0.18/0.41 inference(transitivity,[status(thm)],[196, 186])).
% 0.18/0.41 tff(198,plain,
% 0.18/0.41 ((~![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | (~((X = a) | (X = c) | (place_of(X) = first) | (place_of(X) = second))))) | ((~(entry_of(c) = collage_painting)) | (~((c = a) | (c = c) | (place_of(c) = first) | (place_of(c) = second))))),
% 0.18/0.41 inference(quant_inst,[status(thm)],[])).
% 0.18/0.41 tff(199,plain,
% 0.18/0.41 ((~![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | (~((X = a) | (X = c) | (place_of(X) = first) | (place_of(X) = second))))) | (~(entry_of(c) = collage_painting))),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[198, 197])).
% 0.18/0.41 tff(200,plain,
% 0.18/0.41 (~(entry_of(c) = collage_painting)),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[199, 54])).
% 0.18/0.41 tff(201,plain,
% 0.18/0.41 (((~![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))) | ((entry_of(c) = laser_etching) | (entry_of(c) = collage_painting) | (entry_of(c) = holography) | (entry_of(c) = reconstituted_materials_sculpture))) <=> ((~![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))) | (entry_of(c) = laser_etching) | (entry_of(c) = collage_painting) | (entry_of(c) = holography) | (entry_of(c) = reconstituted_materials_sculpture))),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(202,plain,
% 0.18/0.41 (((entry_of(c) = reconstituted_materials_sculpture) | (entry_of(c) = laser_etching) | (entry_of(c) = holography) | (entry_of(c) = collage_painting)) <=> ((entry_of(c) = laser_etching) | (entry_of(c) = collage_painting) | (entry_of(c) = holography) | (entry_of(c) = reconstituted_materials_sculpture))),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(203,plain,
% 0.18/0.41 (((~![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))) | ((entry_of(c) = reconstituted_materials_sculpture) | (entry_of(c) = laser_etching) | (entry_of(c) = holography) | (entry_of(c) = collage_painting))) <=> ((~![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))) | ((entry_of(c) = laser_etching) | (entry_of(c) = collage_painting) | (entry_of(c) = holography) | (entry_of(c) = reconstituted_materials_sculpture)))),
% 0.18/0.41 inference(monotonicity,[status(thm)],[202])).
% 0.18/0.41 tff(204,plain,
% 0.18/0.41 (((~![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))) | ((entry_of(c) = reconstituted_materials_sculpture) | (entry_of(c) = laser_etching) | (entry_of(c) = holography) | (entry_of(c) = collage_painting))) <=> ((~![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))) | (entry_of(c) = laser_etching) | (entry_of(c) = collage_painting) | (entry_of(c) = holography) | (entry_of(c) = reconstituted_materials_sculpture))),
% 0.18/0.41 inference(transitivity,[status(thm)],[203, 201])).
% 0.18/0.41 tff(205,plain,
% 0.18/0.41 ((~![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))) | ((entry_of(c) = reconstituted_materials_sculpture) | (entry_of(c) = laser_etching) | (entry_of(c) = holography) | (entry_of(c) = collage_painting))),
% 0.18/0.41 inference(quant_inst,[status(thm)],[])).
% 0.18/0.41 tff(206,plain,
% 0.18/0.41 ((~![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))) | (entry_of(c) = laser_etching) | (entry_of(c) = collage_painting) | (entry_of(c) = holography) | (entry_of(c) = reconstituted_materials_sculpture)),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[205, 204])).
% 0.18/0.41 tff(207,plain,
% 0.18/0.41 ((entry_of(c) = laser_etching) | (entry_of(c) = holography) | (entry_of(c) = reconstituted_materials_sculpture)),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[206, 127, 200])).
% 0.18/0.41 tff(208,plain,
% 0.18/0.41 (entry_of(c) = laser_etching),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[207, 185, 175])).
% 0.18/0.41 tff(209,plain,
% 0.18/0.41 (((~![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~((X = a) | (place_of(X) = second))))) | ((~(entry_of(c) = laser_etching)) | (~((c = a) | (place_of(c) = second))))) <=> ((~![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~((X = a) | (place_of(X) = second))))) | (~(entry_of(c) = laser_etching)) | (~((c = a) | (place_of(c) = second))))),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(210,plain,
% 0.18/0.41 ((~![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~((X = a) | (place_of(X) = second))))) | ((~(entry_of(c) = laser_etching)) | (~((c = a) | (place_of(c) = second))))),
% 0.18/0.41 inference(quant_inst,[status(thm)],[])).
% 0.18/0.41 tff(211,plain,
% 0.18/0.41 ((~![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~((X = a) | (place_of(X) = second))))) | (~(entry_of(c) = laser_etching)) | (~((c = a) | (place_of(c) = second)))),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[210, 209])).
% 0.18/0.41 tff(212,plain,
% 0.18/0.41 ((~(entry_of(c) = laser_etching)) | (~((c = a) | (place_of(c) = second)))),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[211, 102])).
% 0.18/0.41 tff(213,plain,
% 0.18/0.41 (~((c = a) | (place_of(c) = second))),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[212, 208])).
% 0.18/0.41 tff(214,plain,
% 0.18/0.41 (((c = a) | (place_of(c) = second)) | (~(place_of(c) = second))),
% 0.18/0.41 inference(tautology,[status(thm)],[])).
% 0.18/0.41 tff(215,plain,
% 0.18/0.41 (~(place_of(c) = second)),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[214, 213])).
% 0.18/0.41 tff(216,assumption,(place_of(c) = fourth), introduced(assumption)).
% 0.18/0.41 tff(217,plain,
% 0.18/0.41 (^[X: knowheyan] : refl(((~(entry_of(X) = laser_etching)) | (~(place_of(X) = fourth))) <=> ((~(entry_of(X) = laser_etching)) | (~(place_of(X) = fourth))))),
% 0.18/0.41 inference(bind,[status(th)],[])).
% 0.18/0.41 tff(218,plain,
% 0.18/0.41 (![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~(place_of(X) = fourth))) <=> ![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~(place_of(X) = fourth)))),
% 0.18/0.41 inference(quant_intro,[status(thm)],[217])).
% 0.18/0.41 tff(219,plain,
% 0.18/0.41 (![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~(place_of(X) = fourth))) <=> ![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~(place_of(X) = fourth)))),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(220,plain,
% 0.18/0.41 (^[X: knowheyan] : rewrite(((entry_of(X) = laser_etching) => (~(place_of(X) = fourth))) <=> ((~(entry_of(X) = laser_etching)) | (~(place_of(X) = fourth))))),
% 0.18/0.41 inference(bind,[status(th)],[])).
% 0.18/0.41 tff(221,plain,
% 0.18/0.41 (![X: knowheyan] : ((entry_of(X) = laser_etching) => (~(place_of(X) = fourth))) <=> ![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~(place_of(X) = fourth)))),
% 0.18/0.41 inference(quant_intro,[status(thm)],[220])).
% 0.18/0.41 tff(222,plain,
% 0.18/0.41 (![X: knowheyan] : ((entry_of(X) = laser_etching) => (~(place_of(X) = fourth)))),
% 0.18/0.41 inference(and_elim,[status(thm)],[24])).
% 0.18/0.41 tff(223,plain,
% 0.18/0.41 (![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~(place_of(X) = fourth)))),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[222, 221])).
% 0.18/0.41 tff(224,plain,
% 0.18/0.41 (![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~(place_of(X) = fourth)))),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[223, 219])).
% 0.18/0.41 tff(225,plain,(
% 0.18/0.41 ![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~(place_of(X) = fourth)))),
% 0.18/0.41 inference(skolemize,[status(sab)],[224])).
% 0.18/0.41 tff(226,plain,
% 0.18/0.41 (![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~(place_of(X) = fourth)))),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[225, 218])).
% 0.18/0.41 tff(227,plain,
% 0.18/0.41 (((~![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~(place_of(X) = fourth)))) | ((~(entry_of(c) = laser_etching)) | (~(place_of(c) = fourth)))) <=> ((~![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~(place_of(X) = fourth)))) | (~(entry_of(c) = laser_etching)) | (~(place_of(c) = fourth)))),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(228,plain,
% 0.18/0.41 ((~![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~(place_of(X) = fourth)))) | ((~(entry_of(c) = laser_etching)) | (~(place_of(c) = fourth)))),
% 0.18/0.41 inference(quant_inst,[status(thm)],[])).
% 0.18/0.41 tff(229,plain,
% 0.18/0.41 ((~![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~(place_of(X) = fourth)))) | (~(entry_of(c) = laser_etching)) | (~(place_of(c) = fourth))),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[228, 227])).
% 0.18/0.41 tff(230,plain,
% 0.18/0.41 ((~(entry_of(c) = laser_etching)) | (~(place_of(c) = fourth))),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[229, 226])).
% 0.18/0.41 tff(231,plain,
% 0.18/0.41 (~(entry_of(c) = laser_etching)),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[230, 216])).
% 0.18/0.41 tff(232,plain,
% 0.18/0.41 (^[X: knowheyan] : refl(((~(place_of(X) = fourth)) | (~((entry_of(X) = holography) | (entry_of(X) = reconstituted_materials_sculpture)))) <=> ((~(place_of(X) = fourth)) | (~((entry_of(X) = holography) | (entry_of(X) = reconstituted_materials_sculpture)))))),
% 0.18/0.41 inference(bind,[status(th)],[])).
% 0.18/0.41 tff(233,plain,
% 0.18/0.41 (![X: knowheyan] : ((~(place_of(X) = fourth)) | (~((entry_of(X) = holography) | (entry_of(X) = reconstituted_materials_sculpture)))) <=> ![X: knowheyan] : ((~(place_of(X) = fourth)) | (~((entry_of(X) = holography) | (entry_of(X) = reconstituted_materials_sculpture))))),
% 0.18/0.41 inference(quant_intro,[status(thm)],[232])).
% 0.18/0.41 tff(234,plain,
% 0.18/0.41 (^[X: knowheyan] : rewrite(((~(place_of(X) = fourth)) | ((~(entry_of(X) = reconstituted_materials_sculpture)) & (~(entry_of(X) = holography)))) <=> ((~(place_of(X) = fourth)) | (~((entry_of(X) = holography) | (entry_of(X) = reconstituted_materials_sculpture)))))),
% 0.18/0.41 inference(bind,[status(th)],[])).
% 0.18/0.41 tff(235,plain,
% 0.18/0.41 (![X: knowheyan] : ((~(place_of(X) = fourth)) | ((~(entry_of(X) = reconstituted_materials_sculpture)) & (~(entry_of(X) = holography)))) <=> ![X: knowheyan] : ((~(place_of(X) = fourth)) | (~((entry_of(X) = holography) | (entry_of(X) = reconstituted_materials_sculpture))))),
% 0.18/0.41 inference(quant_intro,[status(thm)],[234])).
% 0.18/0.41 tff(236,plain,
% 0.18/0.41 (![X: knowheyan] : ((~(place_of(X) = fourth)) | ((~(entry_of(X) = reconstituted_materials_sculpture)) & (~(entry_of(X) = holography)))) <=> ![X: knowheyan] : ((~(place_of(X) = fourth)) | ((~(entry_of(X) = reconstituted_materials_sculpture)) & (~(entry_of(X) = holography))))),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(237,plain,
% 0.18/0.41 (^[X: knowheyan] : rewrite(((place_of(X) = fourth) => ((~(entry_of(X) = reconstituted_materials_sculpture)) & (~(entry_of(X) = holography)))) <=> ((~(place_of(X) = fourth)) | ((~(entry_of(X) = reconstituted_materials_sculpture)) & (~(entry_of(X) = holography)))))),
% 0.18/0.41 inference(bind,[status(th)],[])).
% 0.18/0.41 tff(238,plain,
% 0.18/0.41 (![X: knowheyan] : ((place_of(X) = fourth) => ((~(entry_of(X) = reconstituted_materials_sculpture)) & (~(entry_of(X) = holography)))) <=> ![X: knowheyan] : ((~(place_of(X) = fourth)) | ((~(entry_of(X) = reconstituted_materials_sculpture)) & (~(entry_of(X) = holography))))),
% 0.18/0.41 inference(quant_intro,[status(thm)],[237])).
% 0.18/0.41 tff(239,axiom,(![X: knowheyan] : ((place_of(X) = fourth) => ((~(entry_of(X) = reconstituted_materials_sculpture)) & (~(entry_of(X) = holography))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','fourth_info')).
% 0.18/0.41 tff(240,plain,
% 0.18/0.41 (![X: knowheyan] : ((~(place_of(X) = fourth)) | ((~(entry_of(X) = reconstituted_materials_sculpture)) & (~(entry_of(X) = holography))))),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[239, 238])).
% 0.18/0.41 tff(241,plain,
% 0.18/0.41 (![X: knowheyan] : ((~(place_of(X) = fourth)) | ((~(entry_of(X) = reconstituted_materials_sculpture)) & (~(entry_of(X) = holography))))),
% 0.18/0.42 inference(modus_ponens,[status(thm)],[240, 236])).
% 0.18/0.42 tff(242,plain,(
% 0.18/0.42 ![X: knowheyan] : ((~(place_of(X) = fourth)) | ((~(entry_of(X) = reconstituted_materials_sculpture)) & (~(entry_of(X) = holography))))),
% 0.18/0.42 inference(skolemize,[status(sab)],[241])).
% 0.18/0.42 tff(243,plain,
% 0.18/0.42 (![X: knowheyan] : ((~(place_of(X) = fourth)) | (~((entry_of(X) = holography) | (entry_of(X) = reconstituted_materials_sculpture))))),
% 0.18/0.42 inference(modus_ponens,[status(thm)],[242, 235])).
% 0.18/0.42 tff(244,plain,
% 0.18/0.42 (![X: knowheyan] : ((~(place_of(X) = fourth)) | (~((entry_of(X) = holography) | (entry_of(X) = reconstituted_materials_sculpture))))),
% 0.18/0.42 inference(modus_ponens,[status(thm)],[243, 233])).
% 0.18/0.42 tff(245,plain,
% 0.18/0.42 (((~![X: knowheyan] : ((~(place_of(X) = fourth)) | (~((entry_of(X) = holography) | (entry_of(X) = reconstituted_materials_sculpture))))) | ((~(place_of(c) = fourth)) | (~((entry_of(c) = holography) | (entry_of(c) = reconstituted_materials_sculpture))))) <=> ((~![X: knowheyan] : ((~(place_of(X) = fourth)) | (~((entry_of(X) = holography) | (entry_of(X) = reconstituted_materials_sculpture))))) | (~(place_of(c) = fourth)) | (~((entry_of(c) = holography) | (entry_of(c) = reconstituted_materials_sculpture))))),
% 0.18/0.42 inference(rewrite,[status(thm)],[])).
% 0.18/0.42 tff(246,plain,
% 0.18/0.42 ((~![X: knowheyan] : ((~(place_of(X) = fourth)) | (~((entry_of(X) = holography) | (entry_of(X) = reconstituted_materials_sculpture))))) | ((~(place_of(c) = fourth)) | (~((entry_of(c) = holography) | (entry_of(c) = reconstituted_materials_sculpture))))),
% 0.18/0.42 inference(quant_inst,[status(thm)],[])).
% 0.18/0.42 tff(247,plain,
% 0.18/0.42 ((~![X: knowheyan] : ((~(place_of(X) = fourth)) | (~((entry_of(X) = holography) | (entry_of(X) = reconstituted_materials_sculpture))))) | (~(place_of(c) = fourth)) | (~((entry_of(c) = holography) | (entry_of(c) = reconstituted_materials_sculpture)))),
% 0.18/0.42 inference(modus_ponens,[status(thm)],[246, 245])).
% 0.18/0.42 tff(248,plain,
% 0.18/0.42 ((~(place_of(c) = fourth)) | (~((entry_of(c) = holography) | (entry_of(c) = reconstituted_materials_sculpture)))),
% 0.18/0.42 inference(unit_resolution,[status(thm)],[247, 244])).
% 0.18/0.42 tff(249,plain,
% 0.18/0.42 (~((entry_of(c) = holography) | (entry_of(c) = reconstituted_materials_sculpture))),
% 0.18/0.42 inference(unit_resolution,[status(thm)],[248, 216])).
% 0.18/0.42 tff(250,plain,
% 0.18/0.42 (((entry_of(c) = holography) | (entry_of(c) = reconstituted_materials_sculpture)) | (~(entry_of(c) = holography))),
% 0.18/0.42 inference(tautology,[status(thm)],[])).
% 0.18/0.42 tff(251,plain,
% 0.18/0.42 (~(entry_of(c) = holography)),
% 0.18/0.42 inference(unit_resolution,[status(thm)],[250, 249])).
% 0.18/0.42 tff(252,plain,
% 0.18/0.42 (((entry_of(c) = holography) | (entry_of(c) = reconstituted_materials_sculpture)) | (~(entry_of(c) = reconstituted_materials_sculpture))),
% 0.18/0.42 inference(tautology,[status(thm)],[])).
% 0.18/0.42 tff(253,plain,
% 0.18/0.42 (~(entry_of(c) = reconstituted_materials_sculpture)),
% 0.18/0.42 inference(unit_resolution,[status(thm)],[252, 249])).
% 0.18/0.42 tff(254,plain,
% 0.18/0.42 ($false),
% 0.18/0.42 inference(unit_resolution,[status(thm)],[207, 253, 251, 231])).
% 0.18/0.42 tff(255,plain,(~(place_of(c) = fourth)), inference(lemma,lemma(discharge,[]))).
% 0.18/0.42 tff(256,plain,
% 0.18/0.42 ((~(place_of(c) = third)) <=> (~(place_of(c) = third))),
% 0.18/0.42 inference(rewrite,[status(thm)],[])).
% 0.18/0.42 tff(257,plain,
% 0.18/0.42 (~(place_of(c) = third)),
% 0.18/0.42 inference(and_elim,[status(thm)],[20])).
% 0.18/0.42 tff(258,plain,
% 0.18/0.42 (~(place_of(c) = third)),
% 0.18/0.42 inference(modus_ponens,[status(thm)],[257, 256])).
% 0.18/0.42 tff(259,plain,
% 0.18/0.42 (((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | ((place_of(c) = third) | (place_of(c) = first) | (place_of(c) = second) | (place_of(c) = fourth))) <=> ((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | (place_of(c) = third) | (place_of(c) = first) | (place_of(c) = second) | (place_of(c) = fourth))),
% 0.18/0.42 inference(rewrite,[status(thm)],[])).
% 0.18/0.42 tff(260,plain,
% 0.18/0.42 (((place_of(c) = fourth) | (place_of(c) = third) | (place_of(c) = second) | (place_of(c) = first)) <=> ((place_of(c) = third) | (place_of(c) = first) | (place_of(c) = second) | (place_of(c) = fourth))),
% 0.18/0.42 inference(rewrite,[status(thm)],[])).
% 0.18/0.42 tff(261,plain,
% 0.18/0.42 (((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | ((place_of(c) = fourth) | (place_of(c) = third) | (place_of(c) = second) | (place_of(c) = first))) <=> ((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | ((place_of(c) = third) | (place_of(c) = first) | (place_of(c) = second) | (place_of(c) = fourth)))),
% 0.18/0.42 inference(monotonicity,[status(thm)],[260])).
% 0.18/0.42 tff(262,plain,
% 0.18/0.42 (((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | ((place_of(c) = fourth) | (place_of(c) = third) | (place_of(c) = second) | (place_of(c) = first))) <=> ((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | (place_of(c) = third) | (place_of(c) = first) | (place_of(c) = second) | (place_of(c) = fourth))),
% 0.18/0.42 inference(transitivity,[status(thm)],[261, 259])).
% 0.18/0.42 tff(263,plain,
% 0.18/0.42 ((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | ((place_of(c) = fourth) | (place_of(c) = third) | (place_of(c) = second) | (place_of(c) = first))),
% 0.18/0.42 inference(quant_inst,[status(thm)],[])).
% 0.18/0.42 tff(264,plain,
% 0.18/0.42 ((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | (place_of(c) = third) | (place_of(c) = first) | (place_of(c) = second) | (place_of(c) = fourth)),
% 0.18/0.42 inference(modus_ponens,[status(thm)],[263, 262])).
% 0.18/0.42 tff(265,plain,
% 0.18/0.42 ((place_of(c) = first) | (place_of(c) = second) | (place_of(c) = fourth)),
% 0.18/0.42 inference(unit_resolution,[status(thm)],[264, 33, 258])).
% 0.18/0.42 tff(266,plain,
% 0.18/0.42 ((place_of(c) = first) | (place_of(c) = second)),
% 0.18/0.42 inference(unit_resolution,[status(thm)],[265, 255])).
% 0.18/0.42 tff(267,plain,
% 0.18/0.42 (place_of(c) = first),
% 0.18/0.42 inference(unit_resolution,[status(thm)],[266, 215])).
% 0.18/0.42 tff(268,plain,
% 0.18/0.42 (first = place_of(c)),
% 0.18/0.42 inference(symmetry,[status(thm)],[267])).
% 0.18/0.42 tff(269,assumption,(place_of(b) = first), introduced(assumption)).
% 0.18/0.42 tff(270,plain,
% 0.18/0.42 (place_of(b) = place_of(c)),
% 0.18/0.42 inference(transitivity,[status(thm)],[269, 268])).
% 0.18/0.42 tff(271,plain,
% 0.18/0.42 (inj_1(place_of(b)) = inj_1(place_of(c))),
% 0.18/0.42 inference(monotonicity,[status(thm)],[270])).
% 0.18/0.42 tff(272,plain,
% 0.18/0.42 ((~![Xk!0: knowheyan] : (inj_1(place_of(Xk!0)) = Xk!0)) | (inj_1(place_of(b)) = b)),
% 0.18/0.42 inference(quant_inst,[status(thm)],[])).
% 0.18/0.42 tff(273,plain,
% 0.18/0.42 (inj_1(place_of(b)) = b),
% 0.18/0.42 inference(unit_resolution,[status(thm)],[272, 11])).
% 0.18/0.42 tff(274,plain,
% 0.18/0.42 (b = inj_1(place_of(b))),
% 0.18/0.42 inference(symmetry,[status(thm)],[273])).
% 0.18/0.42 tff(275,plain,
% 0.18/0.42 (b = c),
% 0.18/0.42 inference(transitivity,[status(thm)],[274, 271, 41])).
% 0.18/0.42 tff(276,plain,
% 0.18/0.42 ($false),
% 0.18/0.42 inference(unit_resolution,[status(thm)],[172, 275])).
% 0.18/0.42 tff(277,plain,(~(place_of(b) = first)), inference(lemma,lemma(discharge,[]))).
% 0.18/0.42 tff(278,plain,
% 0.18/0.42 ((b = a) <=> (a = b)),
% 0.18/0.42 inference(commutativity,[status(thm)],[])).
% 0.18/0.42 tff(279,plain,
% 0.18/0.42 ((a = b) <=> (b = a)),
% 0.18/0.42 inference(symmetry,[status(thm)],[278])).
% 0.18/0.42 tff(280,plain,
% 0.18/0.42 ((~(a = b)) <=> (~(b = a))),
% 0.18/0.42 inference(monotonicity,[status(thm)],[279])).
% 0.18/0.42 tff(281,plain,
% 0.18/0.42 (~(b = a)),
% 0.18/0.42 inference(modus_ponens,[status(thm)],[146, 280])).
% 0.18/0.42 tff(282,plain,
% 0.18/0.42 ((~((b = a) | (b = c) | (place_of(b) = first) | (place_of(b) = second))) | (b = a) | (b = c) | (place_of(b) = first) | (place_of(b) = second)),
% 0.18/0.42 inference(tautology,[status(thm)],[])).
% 0.18/0.42 tff(283,plain,
% 0.18/0.42 ((~((b = a) | (b = c) | (place_of(b) = first) | (place_of(b) = second))) | (b = a) | (place_of(b) = first) | (place_of(b) = second)),
% 0.18/0.42 inference(unit_resolution,[status(thm)],[282, 172])).
% 0.18/0.42 tff(284,plain,
% 0.18/0.42 ((~((b = a) | (b = c) | (place_of(b) = first) | (place_of(b) = second))) | (place_of(b) = first) | (place_of(b) = second)),
% 0.18/0.42 inference(unit_resolution,[status(thm)],[283, 281])).
% 0.18/0.42 tff(285,plain,
% 0.18/0.42 (place_of(b) = second),
% 0.18/0.42 inference(unit_resolution,[status(thm)],[284, 277, 39])).
% 0.18/0.42 tff(286,plain,
% 0.18/0.42 (second = place_of(b)),
% 0.18/0.42 inference(symmetry,[status(thm)],[285])).
% 0.18/0.42 tff(287,assumption,(place_of(a) = second), introduced(assumption)).
% 0.18/0.42 tff(288,plain,
% 0.18/0.42 (place_of(a) = place_of(b)),
% 0.18/0.42 inference(transitivity,[status(thm)],[287, 286])).
% 0.18/0.42 tff(289,plain,
% 0.18/0.42 (inj_1(place_of(a)) = inj_1(place_of(b))),
% 0.18/0.42 inference(monotonicity,[status(thm)],[288])).
% 0.18/0.42 tff(290,plain,
% 0.18/0.42 ((~![Xk!0: knowheyan] : (inj_1(place_of(Xk!0)) = Xk!0)) | (inj_1(place_of(a)) = a)),
% 0.18/0.42 inference(quant_inst,[status(thm)],[])).
% 0.18/0.42 tff(291,plain,
% 0.18/0.42 (inj_1(place_of(a)) = a),
% 0.18/0.42 inference(unit_resolution,[status(thm)],[290, 11])).
% 0.18/0.42 tff(292,plain,
% 0.18/0.42 (a = inj_1(place_of(a))),
% 0.18/0.42 inference(symmetry,[status(thm)],[291])).
% 0.18/0.42 tff(293,plain,
% 0.18/0.42 (a = b),
% 0.18/0.42 inference(transitivity,[status(thm)],[292, 289, 273])).
% 0.18/0.42 tff(294,plain,
% 0.18/0.42 ($false),
% 0.18/0.42 inference(unit_resolution,[status(thm)],[146, 293])).
% 0.18/0.42 tff(295,plain,(~(place_of(a) = second)), inference(lemma,lemma(discharge,[]))).
% 0.18/0.42 tff(296,plain,
% 0.18/0.42 (((entry_of(a) = holography) | (entry_of(a) = reconstituted_materials_sculpture)) | (~(entry_of(a) = reconstituted_materials_sculpture))),
% 0.18/0.42 inference(tautology,[status(thm)],[])).
% 0.18/0.42 tff(297,plain,
% 0.18/0.42 ((entry_of(a) = holography) | (entry_of(a) = reconstituted_materials_sculpture)),
% 0.18/0.42 inference(unit_resolution,[status(thm)],[296, 134])).
% 0.18/0.42 tff(298,plain,
% 0.18/0.42 (((~![X: knowheyan] : ((~(place_of(X) = fourth)) | (~((entry_of(X) = holography) | (entry_of(X) = reconstituted_materials_sculpture))))) | ((~(place_of(a) = fourth)) | (~((entry_of(a) = holography) | (entry_of(a) = reconstituted_materials_sculpture))))) <=> ((~![X: knowheyan] : ((~(place_of(X) = fourth)) | (~((entry_of(X) = holography) | (entry_of(X) = reconstituted_materials_sculpture))))) | (~(place_of(a) = fourth)) | (~((entry_of(a) = holography) | (entry_of(a) = reconstituted_materials_sculpture))))),
% 0.18/0.42 inference(rewrite,[status(thm)],[])).
% 0.18/0.42 tff(299,plain,
% 0.18/0.42 ((~![X: knowheyan] : ((~(place_of(X) = fourth)) | (~((entry_of(X) = holography) | (entry_of(X) = reconstituted_materials_sculpture))))) | ((~(place_of(a) = fourth)) | (~((entry_of(a) = holography) | (entry_of(a) = reconstituted_materials_sculpture))))),
% 0.18/0.42 inference(quant_inst,[status(thm)],[])).
% 0.18/0.42 tff(300,plain,
% 0.18/0.42 ((~![X: knowheyan] : ((~(place_of(X) = fourth)) | (~((entry_of(X) = holography) | (entry_of(X) = reconstituted_materials_sculpture))))) | (~(place_of(a) = fourth)) | (~((entry_of(a) = holography) | (entry_of(a) = reconstituted_materials_sculpture)))),
% 0.18/0.42 inference(modus_ponens,[status(thm)],[299, 298])).
% 0.18/0.42 tff(301,plain,
% 0.18/0.42 ((~(place_of(a) = fourth)) | (~((entry_of(a) = holography) | (entry_of(a) = reconstituted_materials_sculpture)))),
% 0.18/0.42 inference(unit_resolution,[status(thm)],[300, 244])).
% 0.18/0.42 tff(302,plain,
% 0.18/0.42 (~(place_of(a) = fourth)),
% 0.18/0.42 inference(unit_resolution,[status(thm)],[301, 297])).
% 0.18/0.42 tff(303,plain,
% 0.18/0.42 ((~(place_of(a) = first)) <=> (~(place_of(a) = first))),
% 0.18/0.42 inference(rewrite,[status(thm)],[])).
% 0.18/0.42 tff(304,plain,
% 0.18/0.42 (~(place_of(a) = first)),
% 0.18/0.42 inference(and_elim,[status(thm)],[118])).
% 0.18/0.42 tff(305,plain,
% 0.18/0.42 (~(place_of(a) = first)),
% 0.18/0.42 inference(modus_ponens,[status(thm)],[304, 303])).
% 0.18/0.42 tff(306,plain,
% 0.18/0.42 (((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | ((place_of(a) = first) | (place_of(a) = third) | (place_of(a) = second) | (place_of(a) = fourth))) <=> ((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | (place_of(a) = first) | (place_of(a) = third) | (place_of(a) = second) | (place_of(a) = fourth))),
% 0.18/0.42 inference(rewrite,[status(thm)],[])).
% 0.18/0.42 tff(307,plain,
% 0.18/0.42 (((place_of(a) = fourth) | (place_of(a) = third) | (place_of(a) = second) | (place_of(a) = first)) <=> ((place_of(a) = first) | (place_of(a) = third) | (place_of(a) = second) | (place_of(a) = fourth))),
% 0.18/0.42 inference(rewrite,[status(thm)],[])).
% 0.18/0.42 tff(308,plain,
% 0.18/0.42 (((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | ((place_of(a) = fourth) | (place_of(a) = third) | (place_of(a) = second) | (place_of(a) = first))) <=> ((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | ((place_of(a) = first) | (place_of(a) = third) | (place_of(a) = second) | (place_of(a) = fourth)))),
% 0.18/0.42 inference(monotonicity,[status(thm)],[307])).
% 0.18/0.42 tff(309,plain,
% 0.18/0.42 (((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | ((place_of(a) = fourth) | (place_of(a) = third) | (place_of(a) = second) | (place_of(a) = first))) <=> ((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | (place_of(a) = first) | (place_of(a) = third) | (place_of(a) = second) | (place_of(a) = fourth))),
% 0.18/0.42 inference(transitivity,[status(thm)],[308, 306])).
% 0.18/0.42 tff(310,plain,
% 0.18/0.42 ((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | ((place_of(a) = fourth) | (place_of(a) = third) | (place_of(a) = second) | (place_of(a) = first))),
% 0.18/0.42 inference(quant_inst,[status(thm)],[])).
% 0.18/0.42 tff(311,plain,
% 0.18/0.42 ((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | (place_of(a) = first) | (place_of(a) = third) | (place_of(a) = second) | (place_of(a) = fourth)),
% 0.18/0.42 inference(modus_ponens,[status(thm)],[310, 309])).
% 0.18/0.42 tff(312,plain,
% 0.18/0.42 ((place_of(a) = third) | (place_of(a) = second) | (place_of(a) = fourth)),
% 0.18/0.42 inference(unit_resolution,[status(thm)],[311, 33, 305])).
% 0.18/0.42 tff(313,plain,
% 0.18/0.42 ((place_of(a) = third) | (place_of(a) = second)),
% 0.18/0.42 inference(unit_resolution,[status(thm)],[312, 302])).
% 0.18/0.42 tff(314,plain,
% 0.18/0.42 (place_of(a) = third),
% 0.18/0.42 inference(unit_resolution,[status(thm)],[313, 295])).
% 0.18/0.42 tff(315,assumption,(place_of(a) = third), introduced(assumption)).
% 0.18/0.42 tff(316,plain,
% 0.18/0.42 (third = place_of(a)),
% 0.18/0.42 inference(symmetry,[status(thm)],[315])).
% 0.18/0.42 tff(317,assumption,(place_of(d) = third), introduced(assumption)).
% 0.18/0.42 tff(318,plain,
% 0.18/0.42 (place_of(d) = place_of(a)),
% 0.18/0.42 inference(transitivity,[status(thm)],[317, 316])).
% 0.18/0.42 tff(319,plain,
% 0.18/0.42 (inj_1(place_of(d)) = inj_1(place_of(a))),
% 0.18/0.42 inference(monotonicity,[status(thm)],[318])).
% 0.18/0.42 tff(320,plain,
% 0.18/0.42 (inj_1(place_of(a)) = inj_1(place_of(d))),
% 0.18/0.42 inference(symmetry,[status(thm)],[319])).
% 0.18/0.42 tff(321,plain,
% 0.18/0.42 (a = d),
% 0.18/0.42 inference(transitivity,[status(thm)],[292, 320, 13])).
% 0.18/0.42 tff(322,plain,
% 0.18/0.42 ((~(a = d)) <=> (~(a = d))),
% 0.18/0.42 inference(rewrite,[status(thm)],[])).
% 0.18/0.42 tff(323,axiom,(~(a = d)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','a_not_d')).
% 0.18/0.42 tff(324,plain,
% 0.18/0.42 (~(a = d)),
% 0.18/0.42 inference(modus_ponens,[status(thm)],[323, 322])).
% 0.18/0.42 tff(325,plain,
% 0.18/0.42 ($false),
% 0.18/0.42 inference(unit_resolution,[status(thm)],[324, 321])).
% 0.18/0.42 tff(326,plain,((~(place_of(d) = third)) | (~(place_of(a) = third))), inference(lemma,lemma(discharge,[]))).
% 0.18/0.42 tff(327,plain,
% 0.18/0.42 (~(place_of(d) = third)),
% 0.18/0.42 inference(unit_resolution,[status(thm)],[326, 314])).
% 0.18/0.42 tff(328,assumption,(place_of(c) = first), introduced(assumption)).
% 0.18/0.42 tff(329,plain,
% 0.18/0.42 (first = place_of(c)),
% 0.18/0.42 inference(symmetry,[status(thm)],[328])).
% 0.18/0.42 tff(330,assumption,(place_of(d) = first), introduced(assumption)).
% 0.18/0.42 tff(331,plain,
% 0.18/0.42 (place_of(d) = place_of(c)),
% 0.18/0.42 inference(transitivity,[status(thm)],[330, 329])).
% 0.18/0.42 tff(332,plain,
% 0.18/0.42 (inj_1(place_of(d)) = inj_1(place_of(c))),
% 0.18/0.42 inference(monotonicity,[status(thm)],[331])).
% 0.18/0.42 tff(333,plain,
% 0.18/0.42 (inj_1(place_of(c)) = inj_1(place_of(d))),
% 0.18/0.42 inference(symmetry,[status(thm)],[332])).
% 0.18/0.42 tff(334,plain,
% 0.18/0.42 (c = inj_1(place_of(c))),
% 0.18/0.42 inference(symmetry,[status(thm)],[41])).
% 0.18/0.42 tff(335,plain,
% 0.18/0.42 (c = d),
% 0.18/0.42 inference(transitivity,[status(thm)],[334, 333, 13])).
% 0.18/0.42 tff(336,plain,
% 0.18/0.42 ((~(c = d)) <=> (~(c = d))),
% 0.18/0.42 inference(rewrite,[status(thm)],[])).
% 0.18/0.42 tff(337,axiom,(~(c = d)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c_not_d')).
% 0.18/0.42 tff(338,plain,
% 0.18/0.42 (~(c = d)),
% 0.18/0.42 inference(modus_ponens,[status(thm)],[337, 336])).
% 0.18/0.42 tff(339,plain,
% 0.18/0.42 ($false),
% 0.18/0.42 inference(unit_resolution,[status(thm)],[338, 335])).
% 0.18/0.42 tff(340,plain,((~(place_of(d) = first)) | (~(place_of(c) = first))), inference(lemma,lemma(discharge,[]))).
% 0.18/0.42 tff(341,plain,
% 0.18/0.42 (~(place_of(d) = first)),
% 0.18/0.42 inference(unit_resolution,[status(thm)],[340, 267])).
% 0.18/0.42 tff(342,plain,
% 0.18/0.42 ((~(~((~(place_of(a) = third)) | (~(place_of(b) = second)) | (~(place_of(c) = first)) | (~(place_of(d) = fourth))))) <=> ((~(place_of(a) = third)) | (~(place_of(b) = second)) | (~(place_of(c) = first)) | (~(place_of(d) = fourth)))),
% 0.18/0.42 inference(rewrite,[status(thm)],[])).
% 0.18/0.42 tff(343,plain,
% 0.18/0.42 (((place_of(a) = third) & (place_of(b) = second) & (place_of(c) = first) & (place_of(d) = fourth)) <=> (~((~(place_of(a) = third)) | (~(place_of(b) = second)) | (~(place_of(c) = first)) | (~(place_of(d) = fourth))))),
% 0.18/0.43 inference(rewrite,[status(thm)],[])).
% 0.18/0.43 tff(344,plain,
% 0.18/0.43 ((~((place_of(a) = third) & (place_of(b) = second) & (place_of(c) = first) & (place_of(d) = fourth))) <=> (~(~((~(place_of(a) = third)) | (~(place_of(b) = second)) | (~(place_of(c) = first)) | (~(place_of(d) = fourth)))))),
% 0.18/0.43 inference(monotonicity,[status(thm)],[343])).
% 0.18/0.43 tff(345,plain,
% 0.18/0.43 ((~((place_of(a) = third) & (place_of(b) = second) & (place_of(c) = first) & (place_of(d) = fourth))) <=> ((~(place_of(a) = third)) | (~(place_of(b) = second)) | (~(place_of(c) = first)) | (~(place_of(d) = fourth)))),
% 0.18/0.43 inference(transitivity,[status(thm)],[344, 342])).
% 0.18/0.43 tff(346,plain,
% 0.18/0.43 ((~((place_of(a) = third) & (place_of(b) = second) & (place_of(c) = first) & (place_of(d) = fourth))) <=> (~((place_of(a) = third) & (place_of(b) = second) & (place_of(c) = first) & (place_of(d) = fourth)))),
% 0.18/0.43 inference(rewrite,[status(thm)],[])).
% 0.18/0.43 tff(347,plain,
% 0.18/0.43 ((~((((place_of(a) = third) & (place_of(b) = second)) & (place_of(c) = first)) & (place_of(d) = fourth))) <=> (~((place_of(a) = third) & (place_of(b) = second) & (place_of(c) = first) & (place_of(d) = fourth)))),
% 0.18/0.43 inference(rewrite,[status(thm)],[])).
% 0.18/0.43 tff(348,axiom,(~((((place_of(a) = third) & (place_of(b) = second)) & (place_of(c) = first)) & (place_of(d) = fourth))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','places')).
% 0.18/0.43 tff(349,plain,
% 0.18/0.43 (~((place_of(a) = third) & (place_of(b) = second) & (place_of(c) = first) & (place_of(d) = fourth))),
% 0.18/0.43 inference(modus_ponens,[status(thm)],[348, 347])).
% 0.18/0.43 tff(350,plain,
% 0.18/0.43 (~((place_of(a) = third) & (place_of(b) = second) & (place_of(c) = first) & (place_of(d) = fourth))),
% 0.18/0.43 inference(modus_ponens,[status(thm)],[349, 346])).
% 0.18/0.43 tff(351,plain,
% 0.18/0.43 ((~(place_of(a) = third)) | (~(place_of(b) = second)) | (~(place_of(c) = first)) | (~(place_of(d) = fourth))),
% 0.18/0.43 inference(modus_ponens,[status(thm)],[350, 345])).
% 0.18/0.43 tff(352,plain,
% 0.18/0.43 (~(place_of(d) = fourth)),
% 0.18/0.43 inference(unit_resolution,[status(thm)],[351, 314, 267, 285])).
% 0.18/0.43 tff(353,plain,
% 0.18/0.43 (((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | ((place_of(d) = fourth) | (place_of(d) = second) | (place_of(d) = first) | (place_of(d) = third))) <=> ((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | (place_of(d) = fourth) | (place_of(d) = second) | (place_of(d) = first) | (place_of(d) = third))),
% 0.18/0.43 inference(rewrite,[status(thm)],[])).
% 0.18/0.43 tff(354,plain,
% 0.18/0.43 (((place_of(d) = fourth) | (place_of(d) = third) | (place_of(d) = second) | (place_of(d) = first)) <=> ((place_of(d) = fourth) | (place_of(d) = second) | (place_of(d) = first) | (place_of(d) = third))),
% 0.18/0.43 inference(rewrite,[status(thm)],[])).
% 0.18/0.43 tff(355,plain,
% 0.18/0.43 (((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | ((place_of(d) = fourth) | (place_of(d) = third) | (place_of(d) = second) | (place_of(d) = first))) <=> ((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | ((place_of(d) = fourth) | (place_of(d) = second) | (place_of(d) = first) | (place_of(d) = third)))),
% 0.18/0.43 inference(monotonicity,[status(thm)],[354])).
% 0.18/0.43 tff(356,plain,
% 0.18/0.43 (((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | ((place_of(d) = fourth) | (place_of(d) = third) | (place_of(d) = second) | (place_of(d) = first))) <=> ((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | (place_of(d) = fourth) | (place_of(d) = second) | (place_of(d) = first) | (place_of(d) = third))),
% 0.18/0.43 inference(transitivity,[status(thm)],[355, 353])).
% 0.18/0.43 tff(357,plain,
% 0.18/0.43 ((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | ((place_of(d) = fourth) | (place_of(d) = third) | (place_of(d) = second) | (place_of(d) = first))),
% 0.18/0.43 inference(quant_inst,[status(thm)],[])).
% 0.18/0.43 tff(358,plain,
% 0.18/0.43 ((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | (place_of(d) = fourth) | (place_of(d) = second) | (place_of(d) = first) | (place_of(d) = third)),
% 0.18/0.43 inference(modus_ponens,[status(thm)],[357, 356])).
% 0.18/0.43 tff(359,plain,
% 0.18/0.43 ((place_of(d) = fourth) | (place_of(d) = second) | (place_of(d) = first) | (place_of(d) = third)),
% 0.18/0.43 inference(unit_resolution,[status(thm)],[358, 33])).
% 0.18/0.43 tff(360,plain,
% 0.18/0.43 (place_of(d) = second),
% 0.18/0.43 inference(unit_resolution,[status(thm)],[359, 352, 341, 327])).
% 0.18/0.43 tff(361,plain,
% 0.18/0.43 (place_of(d) = place_of(b)),
% 0.18/0.43 inference(transitivity,[status(thm)],[360, 286])).
% 0.18/0.43 tff(362,plain,
% 0.18/0.43 (inj_1(place_of(d)) = inj_1(place_of(b))),
% 0.18/0.43 inference(monotonicity,[status(thm)],[361])).
% 0.18/0.43 tff(363,plain,
% 0.18/0.43 (inj_1(place_of(b)) = inj_1(place_of(d))),
% 0.18/0.43 inference(symmetry,[status(thm)],[362])).
% 0.18/0.43 tff(364,plain,
% 0.18/0.43 (b = d),
% 0.18/0.43 inference(transitivity,[status(thm)],[274, 363, 13])).
% 0.18/0.43 tff(365,plain,
% 0.18/0.43 ((~(b = d)) <=> (~(b = d))),
% 0.18/0.43 inference(rewrite,[status(thm)],[])).
% 0.18/0.43 tff(366,axiom,(~(b = d)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','b_not_d')).
% 0.18/0.43 tff(367,plain,
% 0.18/0.43 (~(b = d)),
% 0.18/0.43 inference(modus_ponens,[status(thm)],[366, 365])).
% 0.18/0.43 tff(368,plain,
% 0.18/0.43 ($false),
% 0.18/0.43 inference(unit_resolution,[status(thm)],[367, 364])).
% 0.18/0.43 % SZS output end Proof
% 0.18/0.43 % E exiting
%------------------------------------------------------------------------------