%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : PUZ135_1 : 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 05:23:29 AM UTC 2025
% Result : Theorem 0.19s 0.39s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ135_1 : TPTP v9.0.0. Released v5.1.0.
% 0.00/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 20 02:47:47 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.19/0.39 % SZS status Theorem
% 0.19/0.39 % SZS output start Proof
% 0.19/0.39 tff(d_type, type, (
% 0.19/0.39 d: knowheyan)).
% 0.19/0.39 tff(a_type, type, (
% 0.19/0.39 a: knowheyan)).
% 0.19/0.39 tff(inj_0_type, type, (
% 0.19/0.39 inj_0: entry > knowheyan)).
% 0.19/0.39 tff(entry_of_type, type, (
% 0.19/0.39 entry_of: knowheyan > entry)).
% 0.19/0.39 tff(reconstituted_materials_sculpture_type, type, (
% 0.19/0.39 reconstituted_materials_sculpture: entry)).
% 0.19/0.39 tff(collage_painting_type, type, (
% 0.19/0.39 collage_painting: entry)).
% 0.19/0.39 tff(second_type, type, (
% 0.19/0.39 second: place)).
% 0.19/0.39 tff(place_of_type, type, (
% 0.19/0.39 place_of: knowheyan > place)).
% 0.19/0.39 tff(first_type, type, (
% 0.19/0.39 first: place)).
% 0.19/0.39 tff(c_type, type, (
% 0.19/0.39 c: knowheyan)).
% 0.19/0.39 tff(laser_etching_type, type, (
% 0.19/0.39 laser_etching: entry)).
% 0.19/0.39 tff(b_type, type, (
% 0.19/0.39 b: knowheyan)).
% 0.19/0.39 tff(holography_type, type, (
% 0.19/0.39 holography: entry)).
% 0.19/0.39 tff(third_type, type, (
% 0.19/0.39 third: place)).
% 0.19/0.39 tff(fourth_type, type, (
% 0.19/0.39 fourth: place)).
% 0.19/0.39 tff(1,plain,
% 0.19/0.39 (![Xk!0: knowheyan] : (inj_0(entry_of(Xk!0)) = Xk!0) <=> ![Xk!0: knowheyan] : (inj_0(entry_of(Xk!0)) = Xk!0)),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(2,plain,
% 0.19/0.39 (![X: knowheyan, Y: knowheyan] : ((~(entry_of(X) = entry_of(Y))) | (X = Y)) <=> ![Xk!0: knowheyan] : (inj_0(entry_of(Xk!0)) = Xk!0)),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(3,plain,
% 0.19/0.39 (![X: knowheyan, Y: knowheyan] : ((~(entry_of(X) = entry_of(Y))) | (X = Y)) <=> ![X: knowheyan, Y: knowheyan] : ((~(entry_of(X) = entry_of(Y))) | (X = Y))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(4,plain,
% 0.19/0.39 (^[X: knowheyan, Y: knowheyan] : rewrite(((~(X = Y)) => (~(entry_of(X) = entry_of(Y)))) <=> ((~(entry_of(X) = entry_of(Y))) | (X = Y)))),
% 0.19/0.39 inference(bind,[status(th)],[])).
% 0.19/0.39 tff(5,plain,
% 0.19/0.39 (![X: knowheyan, Y: knowheyan] : ((~(X = Y)) => (~(entry_of(X) = entry_of(Y)))) <=> ![X: knowheyan, Y: knowheyan] : ((~(entry_of(X) = entry_of(Y))) | (X = Y))),
% 0.19/0.39 inference(quant_intro,[status(thm)],[4])).
% 0.19/0.39 tff(6,axiom,(![X: knowheyan, Y: knowheyan] : ((~(X = Y)) => (~(entry_of(X) = entry_of(Y))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unique_entrys')).
% 0.19/0.39 tff(7,plain,
% 0.19/0.39 (![X: knowheyan, Y: knowheyan] : ((~(entry_of(X) = entry_of(Y))) | (X = Y))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[6, 5])).
% 0.19/0.39 tff(8,plain,
% 0.19/0.39 (![X: knowheyan, Y: knowheyan] : ((~(entry_of(X) = entry_of(Y))) | (X = Y))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[7, 3])).
% 0.19/0.39 tff(9,plain,(
% 0.19/0.39 ![X: knowheyan, Y: knowheyan] : ((~(entry_of(X) = entry_of(Y))) | (X = Y))),
% 0.19/0.39 inference(skolemize,[status(sab)],[8])).
% 0.19/0.39 tff(10,plain,
% 0.19/0.39 (![Xk!0: knowheyan] : (inj_0(entry_of(Xk!0)) = Xk!0)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[9, 2])).
% 0.19/0.39 tff(11,plain,
% 0.19/0.39 (![Xk!0: knowheyan] : (inj_0(entry_of(Xk!0)) = Xk!0)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[10, 1])).
% 0.19/0.39 tff(12,plain,
% 0.19/0.39 ((~![Xk!0: knowheyan] : (inj_0(entry_of(Xk!0)) = Xk!0)) | (inj_0(entry_of(d)) = d)),
% 0.19/0.39 inference(quant_inst,[status(thm)],[])).
% 0.19/0.39 tff(13,plain,
% 0.19/0.39 (inj_0(entry_of(d)) = d),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[12, 11])).
% 0.19/0.39 tff(14,plain,
% 0.19/0.39 (^[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)))))),
% 0.19/0.39 inference(bind,[status(th)],[])).
% 0.19/0.39 tff(15,plain,
% 0.19/0.39 (![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))))),
% 0.19/0.39 inference(quant_intro,[status(thm)],[14])).
% 0.19/0.39 tff(16,plain,
% 0.19/0.39 (^[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)))))),
% 0.19/0.39 inference(bind,[status(th)],[])).
% 0.19/0.39 tff(17,plain,
% 0.19/0.39 (![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))))),
% 0.19/0.39 inference(quant_intro,[status(thm)],[16])).
% 0.19/0.39 tff(18,plain,
% 0.19/0.39 (![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))))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(19,plain,
% 0.19/0.39 (^[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))))))),
% 0.19/0.39 inference(bind,[status(th)],[])).
% 0.19/0.39 tff(20,plain,
% 0.19/0.39 (![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))))),
% 0.19/0.39 inference(quant_intro,[status(thm)],[19])).
% 0.19/0.39 tff(21,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')).
% 0.19/0.39 tff(22,plain,
% 0.19/0.39 (![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | ((~(X = a)) & (~(X = c)) & (~(place_of(X) = first)) & (~(place_of(X) = second))))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[21, 20])).
% 0.19/0.39 tff(23,plain,
% 0.19/0.39 (![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | ((~(X = a)) & (~(X = c)) & (~(place_of(X) = first)) & (~(place_of(X) = second))))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[22, 18])).
% 0.19/0.39 tff(24,plain,(
% 0.19/0.39 ![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | ((~(X = a)) & (~(X = c)) & (~(place_of(X) = first)) & (~(place_of(X) = second))))),
% 0.19/0.39 inference(skolemize,[status(sab)],[23])).
% 0.19/0.39 tff(25,plain,
% 0.19/0.39 (![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | (~((X = a) | (X = c) | (place_of(X) = first) | (place_of(X) = second))))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[24, 17])).
% 0.19/0.39 tff(26,plain,
% 0.19/0.39 (![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | (~((X = a) | (X = c) | (place_of(X) = first) | (place_of(X) = second))))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[25, 15])).
% 0.19/0.39 tff(27,plain,
% 0.19/0.39 (((~![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)))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(28,plain,
% 0.19/0.39 (((~(entry_of(a) = collage_painting)) | $false) <=> (~(entry_of(a) = collage_painting))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(29,plain,
% 0.19/0.40 ((~$true) <=> $false),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(30,plain,
% 0.19/0.40 (($true | (a = c) | (place_of(a) = first) | (place_of(a) = second)) <=> $true),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(31,plain,
% 0.19/0.40 ((a = a) <=> $true),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(32,plain,
% 0.19/0.40 (((a = a) | (a = c) | (place_of(a) = first) | (place_of(a) = second)) <=> ($true | (a = c) | (place_of(a) = first) | (place_of(a) = second))),
% 0.19/0.40 inference(monotonicity,[status(thm)],[31])).
% 0.19/0.40 tff(33,plain,
% 0.19/0.40 (((a = a) | (a = c) | (place_of(a) = first) | (place_of(a) = second)) <=> $true),
% 0.19/0.40 inference(transitivity,[status(thm)],[32, 30])).
% 0.19/0.40 tff(34,plain,
% 0.19/0.40 ((~((a = a) | (a = c) | (place_of(a) = first) | (place_of(a) = second))) <=> (~$true)),
% 0.19/0.40 inference(monotonicity,[status(thm)],[33])).
% 0.19/0.40 tff(35,plain,
% 0.19/0.40 ((~((a = a) | (a = c) | (place_of(a) = first) | (place_of(a) = second))) <=> $false),
% 0.19/0.40 inference(transitivity,[status(thm)],[34, 29])).
% 0.19/0.40 tff(36,plain,
% 0.19/0.40 (((~(entry_of(a) = collage_painting)) | (~((a = a) | (a = c) | (place_of(a) = first) | (place_of(a) = second)))) <=> ((~(entry_of(a) = collage_painting)) | $false)),
% 0.19/0.40 inference(monotonicity,[status(thm)],[35])).
% 0.19/0.40 tff(37,plain,
% 0.19/0.40 (((~(entry_of(a) = collage_painting)) | (~((a = a) | (a = c) | (place_of(a) = first) | (place_of(a) = second)))) <=> (~(entry_of(a) = collage_painting))),
% 0.19/0.40 inference(transitivity,[status(thm)],[36, 28])).
% 0.19/0.40 tff(38,plain,
% 0.19/0.40 (((~![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)))),
% 0.19/0.40 inference(monotonicity,[status(thm)],[37])).
% 0.19/0.40 tff(39,plain,
% 0.19/0.40 (((~![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)))),
% 0.19/0.40 inference(transitivity,[status(thm)],[38, 27])).
% 0.19/0.40 tff(40,plain,
% 0.19/0.40 ((~![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))))),
% 0.19/0.40 inference(quant_inst,[status(thm)],[])).
% 0.19/0.40 tff(41,plain,
% 0.19/0.40 ((~![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | (~((X = a) | (X = c) | (place_of(X) = first) | (place_of(X) = second))))) | (~(entry_of(a) = collage_painting))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[40, 39])).
% 0.19/0.40 tff(42,plain,
% 0.19/0.40 (~(entry_of(a) = collage_painting)),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[41, 26])).
% 0.19/0.40 tff(43,plain,
% 0.19/0.40 (^[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)))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(44,plain,
% 0.19/0.40 (![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))))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[43])).
% 0.19/0.40 tff(45,plain,
% 0.19/0.40 (^[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)))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(46,plain,
% 0.19/0.40 (![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))))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[45])).
% 0.19/0.40 tff(47,plain,
% 0.19/0.40 (![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))))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(48,plain,
% 0.19/0.40 (^[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)))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(49,plain,
% 0.19/0.40 (![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))))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[48])).
% 0.19/0.40 tff(50,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')).
% 0.19/0.40 tff(51,plain,
% 0.19/0.40 (![X: knowheyan] : ((entry_of(X) = laser_etching) => ((~(X = a)) & (~(place_of(X) = second))))),
% 0.19/0.40 inference(and_elim,[status(thm)],[50])).
% 0.19/0.40 tff(52,plain,
% 0.19/0.40 (![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | ((~(X = a)) & (~(place_of(X) = second))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[51, 49])).
% 0.19/0.40 tff(53,plain,
% 0.19/0.40 (![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | ((~(X = a)) & (~(place_of(X) = second))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[52, 47])).
% 0.19/0.40 tff(54,plain,(
% 0.19/0.40 ![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | ((~(X = a)) & (~(place_of(X) = second))))),
% 0.19/0.40 inference(skolemize,[status(sab)],[53])).
% 0.19/0.40 tff(55,plain,
% 0.19/0.40 (![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~((X = a) | (place_of(X) = second))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[54, 46])).
% 0.19/0.40 tff(56,plain,
% 0.19/0.40 (![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~((X = a) | (place_of(X) = second))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[55, 44])).
% 0.19/0.40 tff(57,plain,
% 0.19/0.40 (((~![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)))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(58,plain,
% 0.19/0.40 (((~(entry_of(a) = laser_etching)) | $false) <=> (~(entry_of(a) = laser_etching))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(59,plain,
% 0.19/0.40 (($true | (place_of(a) = second)) <=> $true),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(60,plain,
% 0.19/0.40 (((a = a) | (place_of(a) = second)) <=> ($true | (place_of(a) = second))),
% 0.19/0.40 inference(monotonicity,[status(thm)],[31])).
% 0.19/0.40 tff(61,plain,
% 0.19/0.40 (((a = a) | (place_of(a) = second)) <=> $true),
% 0.19/0.40 inference(transitivity,[status(thm)],[60, 59])).
% 0.19/0.40 tff(62,plain,
% 0.19/0.40 ((~((a = a) | (place_of(a) = second))) <=> (~$true)),
% 0.19/0.40 inference(monotonicity,[status(thm)],[61])).
% 0.19/0.40 tff(63,plain,
% 0.19/0.40 ((~((a = a) | (place_of(a) = second))) <=> $false),
% 0.19/0.40 inference(transitivity,[status(thm)],[62, 29])).
% 0.19/0.40 tff(64,plain,
% 0.19/0.40 (((~(entry_of(a) = laser_etching)) | (~((a = a) | (place_of(a) = second)))) <=> ((~(entry_of(a) = laser_etching)) | $false)),
% 0.19/0.40 inference(monotonicity,[status(thm)],[63])).
% 0.19/0.40 tff(65,plain,
% 0.19/0.40 (((~(entry_of(a) = laser_etching)) | (~((a = a) | (place_of(a) = second)))) <=> (~(entry_of(a) = laser_etching))),
% 0.19/0.40 inference(transitivity,[status(thm)],[64, 58])).
% 0.19/0.40 tff(66,plain,
% 0.19/0.40 (((~![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)))),
% 0.19/0.40 inference(monotonicity,[status(thm)],[65])).
% 0.19/0.40 tff(67,plain,
% 0.19/0.40 (((~![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)))),
% 0.19/0.40 inference(transitivity,[status(thm)],[66, 57])).
% 0.19/0.40 tff(68,plain,
% 0.19/0.40 ((~![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~((X = a) | (place_of(X) = second))))) | ((~(entry_of(a) = laser_etching)) | (~((a = a) | (place_of(a) = second))))),
% 0.19/0.40 inference(quant_inst,[status(thm)],[])).
% 0.19/0.40 tff(69,plain,
% 0.19/0.40 ((~![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~((X = a) | (place_of(X) = second))))) | (~(entry_of(a) = laser_etching))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[68, 67])).
% 0.19/0.40 tff(70,plain,
% 0.19/0.40 (~(entry_of(a) = laser_etching)),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[69, 56])).
% 0.19/0.40 tff(71,plain,
% 0.19/0.40 ((~(entry_of(a) = holography)) <=> (~(entry_of(a) = holography))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(72,axiom,((~(place_of(a) = first)) & (~(entry_of(a) = holography))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','a_info')).
% 0.19/0.40 tff(73,plain,
% 0.19/0.40 (~(entry_of(a) = holography)),
% 0.19/0.40 inference(and_elim,[status(thm)],[72])).
% 0.19/0.40 tff(74,plain,
% 0.19/0.40 (~(entry_of(a) = holography)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[73, 71])).
% 0.19/0.40 tff(75,plain,
% 0.19/0.40 (![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))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(76,plain,
% 0.19/0.40 (^[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))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(77,plain,
% 0.19/0.40 (![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))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[76])).
% 0.19/0.40 tff(78,axiom,(![X: entry] : ((((X = collage_painting) | (X = holography)) | (X = laser_etching)) | (X = reconstituted_materials_sculpture))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','only_entries')).
% 0.19/0.40 tff(79,plain,
% 0.19/0.40 (![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[78, 77])).
% 0.19/0.40 tff(80,plain,
% 0.19/0.40 (![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[79, 75])).
% 0.19/0.40 tff(81,plain,(
% 0.19/0.40 ![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))),
% 0.19/0.40 inference(skolemize,[status(sab)],[80])).
% 0.19/0.40 tff(82,plain,
% 0.19/0.40 (((~![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))) | ((entry_of(a) = holography) | (entry_of(a) = reconstituted_materials_sculpture) | (entry_of(a) = laser_etching) | (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) = reconstituted_materials_sculpture) | (entry_of(a) = laser_etching) | (entry_of(a) = collage_painting))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(83,plain,
% 0.19/0.40 (((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) = reconstituted_materials_sculpture) | (entry_of(a) = laser_etching) | (entry_of(a) = collage_painting))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(84,plain,
% 0.19/0.40 (((~![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) = reconstituted_materials_sculpture) | (entry_of(a) = laser_etching) | (entry_of(a) = collage_painting)))),
% 0.19/0.40 inference(monotonicity,[status(thm)],[83])).
% 0.19/0.40 tff(85,plain,
% 0.19/0.40 (((~![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) = reconstituted_materials_sculpture) | (entry_of(a) = laser_etching) | (entry_of(a) = collage_painting))),
% 0.19/0.40 inference(transitivity,[status(thm)],[84, 82])).
% 0.19/0.40 tff(86,plain,
% 0.19/0.40 ((~![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))),
% 0.19/0.40 inference(quant_inst,[status(thm)],[])).
% 0.19/0.40 tff(87,plain,
% 0.19/0.40 ((~![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))) | (entry_of(a) = holography) | (entry_of(a) = reconstituted_materials_sculpture) | (entry_of(a) = laser_etching) | (entry_of(a) = collage_painting)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[86, 85])).
% 0.19/0.40 tff(88,plain,
% 0.19/0.40 (entry_of(a) = reconstituted_materials_sculpture),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[87, 81, 74, 70, 42])).
% 0.19/0.40 tff(89,plain,
% 0.19/0.40 (reconstituted_materials_sculpture = entry_of(a)),
% 0.19/0.40 inference(symmetry,[status(thm)],[88])).
% 0.19/0.40 tff(90,plain,
% 0.19/0.40 ((~![Xk!0: knowheyan] : (inj_0(entry_of(Xk!0)) = Xk!0)) | (inj_0(entry_of(c)) = c)),
% 0.19/0.40 inference(quant_inst,[status(thm)],[])).
% 0.19/0.40 tff(91,plain,
% 0.19/0.40 (inj_0(entry_of(c)) = c),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[90, 11])).
% 0.19/0.40 tff(92,assumption,(entry_of(c) = reconstituted_materials_sculpture), introduced(assumption)).
% 0.19/0.40 tff(93,plain,
% 0.19/0.40 (entry_of(c) = entry_of(a)),
% 0.19/0.40 inference(transitivity,[status(thm)],[92, 89])).
% 0.19/0.40 tff(94,plain,
% 0.19/0.40 (inj_0(entry_of(c)) = inj_0(entry_of(a))),
% 0.19/0.40 inference(monotonicity,[status(thm)],[93])).
% 0.19/0.40 tff(95,plain,
% 0.19/0.40 (inj_0(entry_of(a)) = inj_0(entry_of(c))),
% 0.19/0.40 inference(symmetry,[status(thm)],[94])).
% 0.19/0.40 tff(96,plain,
% 0.19/0.40 ((~![Xk!0: knowheyan] : (inj_0(entry_of(Xk!0)) = Xk!0)) | (inj_0(entry_of(a)) = a)),
% 0.19/0.40 inference(quant_inst,[status(thm)],[])).
% 0.19/0.40 tff(97,plain,
% 0.19/0.40 (inj_0(entry_of(a)) = a),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[96, 11])).
% 0.19/0.40 tff(98,plain,
% 0.19/0.40 (a = inj_0(entry_of(a))),
% 0.19/0.40 inference(symmetry,[status(thm)],[97])).
% 0.19/0.40 tff(99,plain,
% 0.19/0.40 (a = c),
% 0.19/0.40 inference(transitivity,[status(thm)],[98, 95, 91])).
% 0.19/0.40 tff(100,plain,
% 0.19/0.40 ((~(a = c)) <=> (~(a = c))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(101,axiom,(~(a = c)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','a_not_c')).
% 0.19/0.40 tff(102,plain,
% 0.19/0.40 (~(a = c)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[101, 100])).
% 0.19/0.40 tff(103,plain,
% 0.19/0.40 ($false),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[102, 99])).
% 0.19/0.41 tff(104,plain,(~(entry_of(c) = reconstituted_materials_sculpture)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.41 tff(105,plain,
% 0.19/0.41 ((~![Xk!0: knowheyan] : (inj_0(entry_of(Xk!0)) = Xk!0)) | (inj_0(entry_of(b)) = b)),
% 0.19/0.41 inference(quant_inst,[status(thm)],[])).
% 0.19/0.41 tff(106,plain,
% 0.19/0.41 (inj_0(entry_of(b)) = b),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[105, 11])).
% 0.19/0.41 tff(107,assumption,(entry_of(b) = reconstituted_materials_sculpture), introduced(assumption)).
% 0.19/0.41 tff(108,plain,
% 0.19/0.41 (entry_of(b) = entry_of(a)),
% 0.19/0.41 inference(transitivity,[status(thm)],[107, 89])).
% 0.19/0.41 tff(109,plain,
% 0.19/0.41 (inj_0(entry_of(b)) = inj_0(entry_of(a))),
% 0.19/0.41 inference(monotonicity,[status(thm)],[108])).
% 0.19/0.41 tff(110,plain,
% 0.19/0.41 (inj_0(entry_of(a)) = inj_0(entry_of(b))),
% 0.19/0.41 inference(symmetry,[status(thm)],[109])).
% 0.19/0.41 tff(111,plain,
% 0.19/0.41 (a = b),
% 0.19/0.41 inference(transitivity,[status(thm)],[98, 110, 106])).
% 0.19/0.41 tff(112,plain,
% 0.19/0.41 ((~(a = b)) <=> (~(a = b))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(113,axiom,(~(a = b)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','a_not_b')).
% 0.19/0.41 tff(114,plain,
% 0.19/0.41 (~(a = b)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[113, 112])).
% 0.19/0.41 tff(115,plain,
% 0.19/0.41 ($false),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[114, 111])).
% 0.19/0.41 tff(116,plain,(~(entry_of(b) = reconstituted_materials_sculpture)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.41 tff(117,assumption,(~((b = a) | (b = c) | (place_of(b) = first) | (place_of(b) = second))), introduced(assumption)).
% 0.19/0.41 tff(118,plain,
% 0.19/0.41 (((b = a) | (b = c) | (place_of(b) = first) | (place_of(b) = second)) | (~(place_of(b) = first))),
% 0.19/0.41 inference(tautology,[status(thm)],[])).
% 0.19/0.41 tff(119,plain,
% 0.19/0.41 (~(place_of(b) = first)),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[118, 117])).
% 0.19/0.41 tff(120,plain,
% 0.19/0.41 (((b = a) | (b = c) | (place_of(b) = first) | (place_of(b) = second)) | (~(place_of(b) = second))),
% 0.19/0.41 inference(tautology,[status(thm)],[])).
% 0.19/0.41 tff(121,plain,
% 0.19/0.41 (~(place_of(b) = second)),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[120, 117])).
% 0.19/0.41 tff(122,plain,
% 0.19/0.41 ((~(place_of(b) = third)) <=> (~(place_of(b) = third))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(123,axiom,((~(place_of(b) = third)) & (~(place_of(c) = third))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','third_info')).
% 0.19/0.41 tff(124,plain,
% 0.19/0.41 (~(place_of(b) = third)),
% 0.19/0.41 inference(and_elim,[status(thm)],[123])).
% 0.19/0.41 tff(125,plain,
% 0.19/0.41 (~(place_of(b) = third)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[124, 122])).
% 0.19/0.41 tff(126,plain,
% 0.19/0.41 ((~(place_of(b) = fourth)) <=> (~(place_of(b) = fourth))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(127,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')).
% 0.19/0.41 tff(128,plain,
% 0.19/0.41 (~(place_of(b) = fourth)),
% 0.19/0.41 inference(and_elim,[status(thm)],[127])).
% 0.19/0.41 tff(129,plain,
% 0.19/0.41 (~(place_of(b) = fourth)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[128, 126])).
% 0.19/0.41 tff(130,plain,
% 0.19/0.41 (![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first)) <=> ![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(131,plain,
% 0.19/0.41 (^[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))))),
% 0.19/0.41 inference(bind,[status(th)],[])).
% 0.19/0.41 tff(132,plain,
% 0.19/0.41 (![X: place] : ((((X = first) | (X = second)) | (X = third)) | (X = fourth)) <=> ![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))),
% 0.19/0.41 inference(quant_intro,[status(thm)],[131])).
% 0.19/0.41 tff(133,axiom,(![X: place] : ((((X = first) | (X = second)) | (X = third)) | (X = fourth))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','only_places')).
% 0.19/0.41 tff(134,plain,
% 0.19/0.41 (![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[133, 132])).
% 0.19/0.41 tff(135,plain,
% 0.19/0.41 (![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[134, 130])).
% 0.19/0.41 tff(136,plain,(
% 0.19/0.41 ![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))),
% 0.19/0.41 inference(skolemize,[status(sab)],[135])).
% 0.19/0.41 tff(137,plain,
% 0.19/0.41 (((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | ((place_of(b) = fourth) | (place_of(b) = third) | (place_of(b) = first) | (place_of(b) = second))) <=> ((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | (place_of(b) = fourth) | (place_of(b) = third) | (place_of(b) = first) | (place_of(b) = second))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(138,plain,
% 0.19/0.41 (((place_of(b) = fourth) | (place_of(b) = third) | (place_of(b) = second) | (place_of(b) = first)) <=> ((place_of(b) = fourth) | (place_of(b) = third) | (place_of(b) = first) | (place_of(b) = second))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(139,plain,
% 0.19/0.41 (((~![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) = first) | (place_of(b) = second)))),
% 0.19/0.41 inference(monotonicity,[status(thm)],[138])).
% 0.19/0.41 tff(140,plain,
% 0.19/0.41 (((~![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) = first) | (place_of(b) = second))),
% 0.19/0.41 inference(transitivity,[status(thm)],[139, 137])).
% 0.19/0.41 tff(141,plain,
% 0.19/0.41 ((~![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))),
% 0.19/0.41 inference(quant_inst,[status(thm)],[])).
% 0.19/0.41 tff(142,plain,
% 0.19/0.41 ((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | (place_of(b) = fourth) | (place_of(b) = third) | (place_of(b) = first) | (place_of(b) = second)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[141, 140])).
% 0.19/0.41 tff(143,plain,
% 0.19/0.41 ((place_of(b) = first) | (place_of(b) = second)),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[142, 136, 129, 125])).
% 0.19/0.41 tff(144,plain,
% 0.19/0.41 ($false),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[143, 121, 119])).
% 0.19/0.41 tff(145,plain,((b = a) | (b = c) | (place_of(b) = first) | (place_of(b) = second)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.41 tff(146,plain,
% 0.19/0.41 (((~![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))))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(147,plain,
% 0.19/0.41 ((~![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))))),
% 0.19/0.41 inference(quant_inst,[status(thm)],[])).
% 0.19/0.41 tff(148,plain,
% 0.19/0.41 ((~![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)))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[147, 146])).
% 0.19/0.41 tff(149,plain,
% 0.19/0.41 ((~(entry_of(b) = collage_painting)) | (~((b = a) | (b = c) | (place_of(b) = first) | (place_of(b) = second)))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[148, 26])).
% 0.19/0.41 tff(150,plain,
% 0.19/0.41 (~(entry_of(b) = collage_painting)),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[149, 145])).
% 0.19/0.41 tff(151,plain,
% 0.19/0.41 ((~(entry_of(b) = laser_etching)) <=> (~(entry_of(b) = laser_etching))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(152,plain,
% 0.19/0.41 (~(entry_of(b) = laser_etching)),
% 0.19/0.41 inference(and_elim,[status(thm)],[50])).
% 0.19/0.41 tff(153,plain,
% 0.19/0.41 (~(entry_of(b) = laser_etching)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[152, 151])).
% 0.19/0.41 tff(154,plain,
% 0.19/0.41 (((~![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))) | ((entry_of(b) = laser_etching) | (entry_of(b) = holography) | (entry_of(b) = collage_painting) | (entry_of(b) = reconstituted_materials_sculpture))) <=> ((~![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))) | (entry_of(b) = laser_etching) | (entry_of(b) = holography) | (entry_of(b) = collage_painting) | (entry_of(b) = reconstituted_materials_sculpture))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(155,plain,
% 0.19/0.41 (((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) = holography) | (entry_of(b) = collage_painting) | (entry_of(b) = reconstituted_materials_sculpture))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(156,plain,
% 0.19/0.41 (((~![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) = holography) | (entry_of(b) = collage_painting) | (entry_of(b) = reconstituted_materials_sculpture)))),
% 0.19/0.41 inference(monotonicity,[status(thm)],[155])).
% 0.19/0.41 tff(157,plain,
% 0.19/0.41 (((~![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) = holography) | (entry_of(b) = collage_painting) | (entry_of(b) = reconstituted_materials_sculpture))),
% 0.19/0.41 inference(transitivity,[status(thm)],[156, 154])).
% 0.19/0.41 tff(158,plain,
% 0.19/0.41 ((~![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))),
% 0.19/0.41 inference(quant_inst,[status(thm)],[])).
% 0.19/0.41 tff(159,plain,
% 0.19/0.41 ((~![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))) | (entry_of(b) = laser_etching) | (entry_of(b) = holography) | (entry_of(b) = collage_painting) | (entry_of(b) = reconstituted_materials_sculpture)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[158, 157])).
% 0.19/0.41 tff(160,plain,
% 0.19/0.41 ((entry_of(b) = holography) | (entry_of(b) = collage_painting) | (entry_of(b) = reconstituted_materials_sculpture)),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[159, 81, 153])).
% 0.19/0.41 tff(161,plain,
% 0.19/0.41 (entry_of(b) = holography),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[160, 150, 116])).
% 0.19/0.41 tff(162,plain,
% 0.19/0.41 (holography = entry_of(b)),
% 0.19/0.41 inference(symmetry,[status(thm)],[161])).
% 0.19/0.41 tff(163,assumption,(entry_of(c) = holography), introduced(assumption)).
% 0.19/0.41 tff(164,plain,
% 0.19/0.41 (entry_of(c) = entry_of(b)),
% 0.19/0.42 inference(transitivity,[status(thm)],[163, 162])).
% 0.19/0.42 tff(165,plain,
% 0.19/0.42 (inj_0(entry_of(c)) = inj_0(entry_of(b))),
% 0.19/0.42 inference(monotonicity,[status(thm)],[164])).
% 0.19/0.42 tff(166,plain,
% 0.19/0.42 (inj_0(entry_of(b)) = inj_0(entry_of(c))),
% 0.19/0.42 inference(symmetry,[status(thm)],[165])).
% 0.19/0.42 tff(167,plain,
% 0.19/0.42 (b = inj_0(entry_of(b))),
% 0.19/0.42 inference(symmetry,[status(thm)],[106])).
% 0.19/0.42 tff(168,plain,
% 0.19/0.42 (b = c),
% 0.19/0.42 inference(transitivity,[status(thm)],[167, 166, 91])).
% 0.19/0.42 tff(169,plain,
% 0.19/0.42 ((~(b = c)) <=> (~(b = c))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(170,axiom,(~(b = c)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','b_not_c')).
% 0.19/0.42 tff(171,plain,
% 0.19/0.42 (~(b = c)),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[170, 169])).
% 0.19/0.42 tff(172,plain,
% 0.19/0.42 ($false),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[171, 168])).
% 0.19/0.42 tff(173,plain,(~(entry_of(c) = holography)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.42 tff(174,plain,
% 0.19/0.42 (((~![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)))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(175,plain,
% 0.19/0.42 (((~(entry_of(c) = collage_painting)) | $false) <=> (~(entry_of(c) = collage_painting))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(176,plain,
% 0.19/0.42 (((c = a) | $true | (place_of(c) = first) | (place_of(c) = second)) <=> $true),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(177,plain,
% 0.19/0.42 ((c = c) <=> $true),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(178,plain,
% 0.19/0.42 (((c = a) | (c = c) | (place_of(c) = first) | (place_of(c) = second)) <=> ((c = a) | $true | (place_of(c) = first) | (place_of(c) = second))),
% 0.19/0.42 inference(monotonicity,[status(thm)],[177])).
% 0.19/0.42 tff(179,plain,
% 0.19/0.42 (((c = a) | (c = c) | (place_of(c) = first) | (place_of(c) = second)) <=> $true),
% 0.19/0.42 inference(transitivity,[status(thm)],[178, 176])).
% 0.19/0.42 tff(180,plain,
% 0.19/0.42 ((~((c = a) | (c = c) | (place_of(c) = first) | (place_of(c) = second))) <=> (~$true)),
% 0.19/0.42 inference(monotonicity,[status(thm)],[179])).
% 0.19/0.42 tff(181,plain,
% 0.19/0.42 ((~((c = a) | (c = c) | (place_of(c) = first) | (place_of(c) = second))) <=> $false),
% 0.19/0.42 inference(transitivity,[status(thm)],[180, 29])).
% 0.19/0.42 tff(182,plain,
% 0.19/0.42 (((~(entry_of(c) = collage_painting)) | (~((c = a) | (c = c) | (place_of(c) = first) | (place_of(c) = second)))) <=> ((~(entry_of(c) = collage_painting)) | $false)),
% 0.19/0.42 inference(monotonicity,[status(thm)],[181])).
% 0.19/0.42 tff(183,plain,
% 0.19/0.42 (((~(entry_of(c) = collage_painting)) | (~((c = a) | (c = c) | (place_of(c) = first) | (place_of(c) = second)))) <=> (~(entry_of(c) = collage_painting))),
% 0.19/0.42 inference(transitivity,[status(thm)],[182, 175])).
% 0.19/0.42 tff(184,plain,
% 0.19/0.42 (((~![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)))),
% 0.19/0.42 inference(monotonicity,[status(thm)],[183])).
% 0.19/0.42 tff(185,plain,
% 0.19/0.42 (((~![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)))),
% 0.19/0.42 inference(transitivity,[status(thm)],[184, 174])).
% 0.19/0.42 tff(186,plain,
% 0.19/0.42 ((~![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))))),
% 0.19/0.42 inference(quant_inst,[status(thm)],[])).
% 0.19/0.42 tff(187,plain,
% 0.19/0.42 ((~![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | (~((X = a) | (X = c) | (place_of(X) = first) | (place_of(X) = second))))) | (~(entry_of(c) = collage_painting))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[186, 185])).
% 0.19/0.42 tff(188,plain,
% 0.19/0.42 (~(entry_of(c) = collage_painting)),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[187, 26])).
% 0.19/0.42 tff(189,plain,
% 0.19/0.42 (((~![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))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(190,plain,
% 0.19/0.42 (((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))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(191,plain,
% 0.19/0.42 (((~![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)))),
% 0.19/0.42 inference(monotonicity,[status(thm)],[190])).
% 0.19/0.42 tff(192,plain,
% 0.19/0.42 (((~![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))),
% 0.19/0.42 inference(transitivity,[status(thm)],[191, 189])).
% 0.19/0.42 tff(193,plain,
% 0.19/0.42 ((~![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))),
% 0.19/0.42 inference(quant_inst,[status(thm)],[])).
% 0.19/0.42 tff(194,plain,
% 0.19/0.42 ((~![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)),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[193, 192])).
% 0.19/0.42 tff(195,plain,
% 0.19/0.42 ((entry_of(c) = laser_etching) | (entry_of(c) = holography) | (entry_of(c) = reconstituted_materials_sculpture)),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[194, 81, 188])).
% 0.19/0.42 tff(196,plain,
% 0.19/0.42 (entry_of(c) = laser_etching),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[195, 173, 104])).
% 0.19/0.42 tff(197,plain,
% 0.19/0.42 (laser_etching = entry_of(c)),
% 0.19/0.42 inference(symmetry,[status(thm)],[196])).
% 0.19/0.42 tff(198,assumption,(entry_of(d) = laser_etching), introduced(assumption)).
% 0.19/0.42 tff(199,plain,
% 0.19/0.42 (entry_of(d) = entry_of(c)),
% 0.19/0.42 inference(transitivity,[status(thm)],[198, 197])).
% 0.19/0.42 tff(200,plain,
% 0.19/0.42 (inj_0(entry_of(d)) = inj_0(entry_of(c))),
% 0.19/0.42 inference(monotonicity,[status(thm)],[199])).
% 0.19/0.42 tff(201,plain,
% 0.19/0.42 (inj_0(entry_of(c)) = inj_0(entry_of(d))),
% 0.19/0.42 inference(symmetry,[status(thm)],[200])).
% 0.19/0.42 tff(202,plain,
% 0.19/0.42 (c = inj_0(entry_of(c))),
% 0.19/0.42 inference(symmetry,[status(thm)],[91])).
% 0.19/0.42 tff(203,plain,
% 0.19/0.42 (c = d),
% 0.19/0.42 inference(transitivity,[status(thm)],[202, 201, 13])).
% 0.19/0.42 tff(204,plain,
% 0.19/0.42 ((~(c = d)) <=> (~(c = d))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(205,axiom,(~(c = d)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c_not_d')).
% 0.19/0.42 tff(206,plain,
% 0.19/0.42 (~(c = d)),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[205, 204])).
% 0.19/0.42 tff(207,plain,
% 0.19/0.42 ($false),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[206, 203])).
% 0.19/0.42 tff(208,plain,(~(entry_of(d) = laser_etching)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.42 tff(209,plain,
% 0.19/0.42 ((~(~((~(entry_of(a) = reconstituted_materials_sculpture)) | (~(entry_of(b) = holography)) | (~(entry_of(c) = laser_etching)) | (~(entry_of(d) = collage_painting))))) <=> ((~(entry_of(a) = reconstituted_materials_sculpture)) | (~(entry_of(b) = holography)) | (~(entry_of(c) = laser_etching)) | (~(entry_of(d) = collage_painting)))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(210,plain,
% 0.19/0.42 (((entry_of(a) = reconstituted_materials_sculpture) & (entry_of(b) = holography) & (entry_of(c) = laser_etching) & (entry_of(d) = collage_painting)) <=> (~((~(entry_of(a) = reconstituted_materials_sculpture)) | (~(entry_of(b) = holography)) | (~(entry_of(c) = laser_etching)) | (~(entry_of(d) = collage_painting))))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(211,plain,
% 0.19/0.42 ((~((entry_of(a) = reconstituted_materials_sculpture) & (entry_of(b) = holography) & (entry_of(c) = laser_etching) & (entry_of(d) = collage_painting))) <=> (~(~((~(entry_of(a) = reconstituted_materials_sculpture)) | (~(entry_of(b) = holography)) | (~(entry_of(c) = laser_etching)) | (~(entry_of(d) = collage_painting)))))),
% 0.19/0.42 inference(monotonicity,[status(thm)],[210])).
% 0.19/0.42 tff(212,plain,
% 0.19/0.42 ((~((entry_of(a) = reconstituted_materials_sculpture) & (entry_of(b) = holography) & (entry_of(c) = laser_etching) & (entry_of(d) = collage_painting))) <=> ((~(entry_of(a) = reconstituted_materials_sculpture)) | (~(entry_of(b) = holography)) | (~(entry_of(c) = laser_etching)) | (~(entry_of(d) = collage_painting)))),
% 0.19/0.42 inference(transitivity,[status(thm)],[211, 209])).
% 0.19/0.42 tff(213,plain,
% 0.19/0.42 ((~((entry_of(a) = reconstituted_materials_sculpture) & (entry_of(b) = holography) & (entry_of(c) = laser_etching) & (entry_of(d) = collage_painting))) <=> (~((entry_of(a) = reconstituted_materials_sculpture) & (entry_of(b) = holography) & (entry_of(c) = laser_etching) & (entry_of(d) = collage_painting)))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(214,plain,
% 0.19/0.42 ((~((((entry_of(a) = reconstituted_materials_sculpture) & (entry_of(b) = holography)) & (entry_of(c) = laser_etching)) & (entry_of(d) = collage_painting))) <=> (~((entry_of(a) = reconstituted_materials_sculpture) & (entry_of(b) = holography) & (entry_of(c) = laser_etching) & (entry_of(d) = collage_painting)))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(215,axiom,(~((((entry_of(a) = reconstituted_materials_sculpture) & (entry_of(b) = holography)) & (entry_of(c) = laser_etching)) & (entry_of(d) = collage_painting))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','entries')).
% 0.19/0.42 tff(216,plain,
% 0.19/0.42 (~((entry_of(a) = reconstituted_materials_sculpture) & (entry_of(b) = holography) & (entry_of(c) = laser_etching) & (entry_of(d) = collage_painting))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[215, 214])).
% 0.19/0.42 tff(217,plain,
% 0.19/0.42 (~((entry_of(a) = reconstituted_materials_sculpture) & (entry_of(b) = holography) & (entry_of(c) = laser_etching) & (entry_of(d) = collage_painting))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[216, 213])).
% 0.19/0.42 tff(218,plain,
% 0.19/0.42 ((~(entry_of(a) = reconstituted_materials_sculpture)) | (~(entry_of(b) = holography)) | (~(entry_of(c) = laser_etching)) | (~(entry_of(d) = collage_painting))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[217, 212])).
% 0.19/0.42 tff(219,plain,
% 0.19/0.42 ((~(entry_of(b) = holography)) | (~(entry_of(c) = laser_etching)) | (~(entry_of(d) = collage_painting))),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[218, 88])).
% 0.19/0.42 tff(220,plain,
% 0.19/0.42 ((~(entry_of(c) = laser_etching)) | (~(entry_of(d) = collage_painting))),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[219, 161])).
% 0.19/0.42 tff(221,plain,
% 0.19/0.42 (~(entry_of(d) = collage_painting)),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[220, 196])).
% 0.19/0.42 tff(222,assumption,(entry_of(d) = holography), introduced(assumption)).
% 0.19/0.42 tff(223,plain,
% 0.19/0.42 (entry_of(d) = entry_of(b)),
% 0.19/0.42 inference(transitivity,[status(thm)],[222, 162])).
% 0.19/0.42 tff(224,plain,
% 0.19/0.42 (inj_0(entry_of(d)) = inj_0(entry_of(b))),
% 0.19/0.42 inference(monotonicity,[status(thm)],[223])).
% 0.19/0.42 tff(225,plain,
% 0.19/0.42 (inj_0(entry_of(b)) = inj_0(entry_of(d))),
% 0.19/0.42 inference(symmetry,[status(thm)],[224])).
% 0.19/0.42 tff(226,plain,
% 0.19/0.42 (b = d),
% 0.19/0.42 inference(transitivity,[status(thm)],[167, 225, 13])).
% 0.19/0.42 tff(227,plain,
% 0.19/0.42 ((~(b = d)) <=> (~(b = d))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(228,axiom,(~(b = d)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','b_not_d')).
% 0.19/0.42 tff(229,plain,
% 0.19/0.42 (~(b = d)),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[228, 227])).
% 0.19/0.43 tff(230,plain,
% 0.19/0.43 ($false),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[229, 226])).
% 0.19/0.43 tff(231,plain,(~(entry_of(d) = holography)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.43 tff(232,plain,
% 0.19/0.43 (((~![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))) | ((entry_of(d) = collage_painting) | (entry_of(d) = laser_etching) | (entry_of(d) = holography) | (entry_of(d) = reconstituted_materials_sculpture))) <=> ((~![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))) | (entry_of(d) = collage_painting) | (entry_of(d) = laser_etching) | (entry_of(d) = holography) | (entry_of(d) = reconstituted_materials_sculpture))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(233,plain,
% 0.19/0.43 (((entry_of(d) = reconstituted_materials_sculpture) | (entry_of(d) = laser_etching) | (entry_of(d) = holography) | (entry_of(d) = collage_painting)) <=> ((entry_of(d) = collage_painting) | (entry_of(d) = laser_etching) | (entry_of(d) = holography) | (entry_of(d) = reconstituted_materials_sculpture))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(234,plain,
% 0.19/0.43 (((~![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))) | ((entry_of(d) = reconstituted_materials_sculpture) | (entry_of(d) = laser_etching) | (entry_of(d) = holography) | (entry_of(d) = collage_painting))) <=> ((~![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))) | ((entry_of(d) = collage_painting) | (entry_of(d) = laser_etching) | (entry_of(d) = holography) | (entry_of(d) = reconstituted_materials_sculpture)))),
% 0.19/0.43 inference(monotonicity,[status(thm)],[233])).
% 0.19/0.43 tff(235,plain,
% 0.19/0.43 (((~![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))) | ((entry_of(d) = reconstituted_materials_sculpture) | (entry_of(d) = laser_etching) | (entry_of(d) = holography) | (entry_of(d) = collage_painting))) <=> ((~![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))) | (entry_of(d) = collage_painting) | (entry_of(d) = laser_etching) | (entry_of(d) = holography) | (entry_of(d) = reconstituted_materials_sculpture))),
% 0.19/0.43 inference(transitivity,[status(thm)],[234, 232])).
% 0.19/0.43 tff(236,plain,
% 0.19/0.43 ((~![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))) | ((entry_of(d) = reconstituted_materials_sculpture) | (entry_of(d) = laser_etching) | (entry_of(d) = holography) | (entry_of(d) = collage_painting))),
% 0.19/0.43 inference(quant_inst,[status(thm)],[])).
% 0.19/0.43 tff(237,plain,
% 0.19/0.43 ((~![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))) | (entry_of(d) = collage_painting) | (entry_of(d) = laser_etching) | (entry_of(d) = holography) | (entry_of(d) = reconstituted_materials_sculpture)),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[236, 235])).
% 0.19/0.43 tff(238,plain,
% 0.19/0.43 ((entry_of(d) = collage_painting) | (entry_of(d) = laser_etching) | (entry_of(d) = holography) | (entry_of(d) = reconstituted_materials_sculpture)),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[237, 81])).
% 0.19/0.43 tff(239,plain,
% 0.19/0.43 ((entry_of(d) = collage_painting) | (entry_of(d) = laser_etching) | (entry_of(d) = reconstituted_materials_sculpture)),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[238, 231])).
% 0.19/0.43 tff(240,plain,
% 0.19/0.43 ((entry_of(d) = laser_etching) | (entry_of(d) = reconstituted_materials_sculpture)),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[239, 221])).
% 0.19/0.43 tff(241,plain,
% 0.19/0.43 (entry_of(d) = reconstituted_materials_sculpture),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[240, 208])).
% 0.19/0.43 tff(242,plain,
% 0.19/0.43 (entry_of(d) = entry_of(a)),
% 0.19/0.43 inference(transitivity,[status(thm)],[241, 89])).
% 0.19/0.43 tff(243,plain,
% 0.19/0.43 (inj_0(entry_of(d)) = inj_0(entry_of(a))),
% 0.19/0.43 inference(monotonicity,[status(thm)],[242])).
% 0.19/0.43 tff(244,plain,
% 0.19/0.43 (inj_0(entry_of(a)) = inj_0(entry_of(d))),
% 0.19/0.43 inference(symmetry,[status(thm)],[243])).
% 0.19/0.43 tff(245,plain,
% 0.19/0.43 (a = d),
% 0.19/0.43 inference(transitivity,[status(thm)],[98, 244, 13])).
% 0.19/0.43 tff(246,plain,
% 0.19/0.43 ((~(a = d)) <=> (~(a = d))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(247,axiom,(~(a = d)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','a_not_d')).
% 0.19/0.43 tff(248,plain,
% 0.19/0.43 (~(a = d)),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[247, 246])).
% 0.19/0.43 tff(249,plain,
% 0.19/0.43 ($false),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[248, 245])).
% 0.19/0.43 % SZS output end Proof
% 0.19/0.43 % E exiting
%------------------------------------------------------------------------------