TSTP Solution File: PUZ135_1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : PUZ135_1 : TPTP v8.1.0. Released v5.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 18 14:11:34 EDT 2022
% Result : Theorem 0.19s 0.42s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ135_1 : TPTP v8.1.0. Released v5.1.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Sep 2 19:14:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34 Usage: tptp [options] [-file:]file
% 0.13/0.34 -h, -? prints this message.
% 0.13/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.34 -m, -model generate model.
% 0.13/0.34 -p, -proof generate proof.
% 0.13/0.34 -c, -core generate unsat core of named formulas.
% 0.13/0.34 -st, -statistics display statistics.
% 0.13/0.34 -t:timeout set timeout (in second).
% 0.13/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34 -<param>:<value> configuration parameter and value.
% 0.13/0.34 -o:<output-file> file to place output in.
% 0.19/0.42 % SZS status Theorem
% 0.19/0.42 % SZS output start Proof
% 0.19/0.42 tff(d_type, type, (
% 0.19/0.42 d: knowheyan)).
% 0.19/0.42 tff(b_type, type, (
% 0.19/0.42 b: knowheyan)).
% 0.19/0.42 tff(inj_0_type, type, (
% 0.19/0.42 inj_0: entry > knowheyan)).
% 0.19/0.42 tff(entry_of_type, type, (
% 0.19/0.42 entry_of: knowheyan > entry)).
% 0.19/0.42 tff(holography_type, type, (
% 0.19/0.42 holography: entry)).
% 0.19/0.42 tff(collage_painting_type, type, (
% 0.19/0.42 collage_painting: entry)).
% 0.19/0.42 tff(second_type, type, (
% 0.19/0.42 second: place)).
% 0.19/0.42 tff(place_of_type, type, (
% 0.19/0.42 place_of: knowheyan > place)).
% 0.19/0.42 tff(first_type, type, (
% 0.19/0.42 first: place)).
% 0.19/0.42 tff(c_type, type, (
% 0.19/0.42 c: knowheyan)).
% 0.19/0.42 tff(a_type, type, (
% 0.19/0.42 a: knowheyan)).
% 0.19/0.42 tff(third_type, type, (
% 0.19/0.42 third: place)).
% 0.19/0.42 tff(fourth_type, type, (
% 0.19/0.42 fourth: place)).
% 0.19/0.42 tff(laser_etching_type, type, (
% 0.19/0.42 laser_etching: entry)).
% 0.19/0.42 tff(reconstituted_materials_sculpture_type, type, (
% 0.19/0.42 reconstituted_materials_sculpture: entry)).
% 0.19/0.42 tff(1,plain,
% 0.19/0.42 (![Xk!0: knowheyan] : (inj_0(entry_of(Xk!0)) = Xk!0) <=> ![Xk!0: knowheyan] : (inj_0(entry_of(Xk!0)) = Xk!0)),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(2,plain,
% 0.19/0.42 (![X: knowheyan, Y: knowheyan] : ((~(entry_of(X) = entry_of(Y))) | (X = Y)) <=> ![Xk!0: knowheyan] : (inj_0(entry_of(Xk!0)) = Xk!0)),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(3,plain,
% 0.19/0.42 (![X: knowheyan, Y: knowheyan] : ((~(entry_of(X) = entry_of(Y))) | (X = Y)) <=> ![X: knowheyan, Y: knowheyan] : ((~(entry_of(X) = entry_of(Y))) | (X = Y))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(4,plain,
% 0.19/0.42 (^[X: knowheyan, Y: knowheyan] : rewrite(((~(X = Y)) => (~(entry_of(X) = entry_of(Y)))) <=> ((~(entry_of(X) = entry_of(Y))) | (X = Y)))),
% 0.19/0.42 inference(bind,[status(th)],[])).
% 0.19/0.42 tff(5,plain,
% 0.19/0.42 (![X: knowheyan, Y: knowheyan] : ((~(X = Y)) => (~(entry_of(X) = entry_of(Y)))) <=> ![X: knowheyan, Y: knowheyan] : ((~(entry_of(X) = entry_of(Y))) | (X = Y))),
% 0.19/0.42 inference(quant_intro,[status(thm)],[4])).
% 0.19/0.42 tff(6,axiom,(![X: knowheyan, Y: knowheyan] : ((~(X = Y)) => (~(entry_of(X) = entry_of(Y))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','unique_entrys')).
% 0.19/0.42 tff(7,plain,
% 0.19/0.42 (![X: knowheyan, Y: knowheyan] : ((~(entry_of(X) = entry_of(Y))) | (X = Y))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[6, 5])).
% 0.19/0.42 tff(8,plain,
% 0.19/0.42 (![X: knowheyan, Y: knowheyan] : ((~(entry_of(X) = entry_of(Y))) | (X = Y))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[7, 3])).
% 0.19/0.42 tff(9,plain,(
% 0.19/0.42 ![X: knowheyan, Y: knowheyan] : ((~(entry_of(X) = entry_of(Y))) | (X = Y))),
% 0.19/0.42 inference(skolemize,[status(sab)],[8])).
% 0.19/0.42 tff(10,plain,
% 0.19/0.42 (![Xk!0: knowheyan] : (inj_0(entry_of(Xk!0)) = Xk!0)),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[9, 2])).
% 0.19/0.42 tff(11,plain,
% 0.19/0.42 (![Xk!0: knowheyan] : (inj_0(entry_of(Xk!0)) = Xk!0)),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[10, 1])).
% 0.19/0.42 tff(12,plain,
% 0.19/0.42 ((~![Xk!0: knowheyan] : (inj_0(entry_of(Xk!0)) = Xk!0)) | (inj_0(entry_of(d)) = d)),
% 0.19/0.42 inference(quant_inst,[status(thm)],[])).
% 0.19/0.42 tff(13,plain,
% 0.19/0.42 (inj_0(entry_of(d)) = d),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[12, 11])).
% 0.19/0.42 tff(14,assumption,(~((b = a) | (b = c) | (place_of(b) = first) | (place_of(b) = second))), introduced(assumption)).
% 0.19/0.42 tff(15,plain,
% 0.19/0.42 (((b = a) | (b = c) | (place_of(b) = first) | (place_of(b) = second)) | (~(place_of(b) = first))),
% 0.19/0.42 inference(tautology,[status(thm)],[])).
% 0.19/0.42 tff(16,plain,
% 0.19/0.42 (~(place_of(b) = first)),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[15, 14])).
% 0.19/0.42 tff(17,plain,
% 0.19/0.42 (((b = a) | (b = c) | (place_of(b) = first) | (place_of(b) = second)) | (~(place_of(b) = second))),
% 0.19/0.42 inference(tautology,[status(thm)],[])).
% 0.19/0.42 tff(18,plain,
% 0.19/0.42 (~(place_of(b) = second)),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[17, 14])).
% 0.19/0.42 tff(19,plain,
% 0.19/0.42 ((~(place_of(b) = third)) <=> (~(place_of(b) = third))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(20,axiom,((~(place_of(b) = third)) & (~(place_of(c) = third))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','third_info')).
% 0.19/0.42 tff(21,plain,
% 0.19/0.42 (~(place_of(b) = third)),
% 0.19/0.42 inference(and_elim,[status(thm)],[20])).
% 0.19/0.42 tff(22,plain,
% 0.19/0.42 (~(place_of(b) = third)),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[21, 19])).
% 0.19/0.42 tff(23,plain,
% 0.19/0.42 ((~(place_of(b) = fourth)) <=> (~(place_of(b) = fourth))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(24,axiom,((~(place_of(b) = fourth)) & ![X: knowheyan] : ((entry_of(X) = laser_etching) => (~(place_of(X) = fourth)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','fourth_info2')).
% 0.19/0.42 tff(25,plain,
% 0.19/0.42 (~(place_of(b) = fourth)),
% 0.19/0.42 inference(and_elim,[status(thm)],[24])).
% 0.19/0.42 tff(26,plain,
% 0.19/0.42 (~(place_of(b) = fourth)),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[25, 23])).
% 0.19/0.42 tff(27,plain,
% 0.19/0.42 (![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first)) <=> ![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(28,plain,
% 0.19/0.42 (^[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))))),
% 0.19/0.42 inference(bind,[status(th)],[])).
% 0.19/0.42 tff(29,plain,
% 0.19/0.42 (![X: place] : ((((X = first) | (X = second)) | (X = third)) | (X = fourth)) <=> ![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))),
% 0.19/0.42 inference(quant_intro,[status(thm)],[28])).
% 0.19/0.42 tff(30,axiom,(![X: place] : ((((X = first) | (X = second)) | (X = third)) | (X = fourth))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','only_places')).
% 0.19/0.42 tff(31,plain,
% 0.19/0.42 (![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[30, 29])).
% 0.19/0.42 tff(32,plain,
% 0.19/0.42 (![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[31, 27])).
% 0.19/0.42 tff(33,plain,(
% 0.19/0.42 ![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))),
% 0.19/0.42 inference(skolemize,[status(sab)],[32])).
% 0.19/0.42 tff(34,plain,
% 0.19/0.42 (((~![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))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(35,plain,
% 0.19/0.42 (((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))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(36,plain,
% 0.19/0.42 (((~![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)))),
% 0.19/0.42 inference(monotonicity,[status(thm)],[35])).
% 0.19/0.42 tff(37,plain,
% 0.19/0.42 (((~![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))),
% 0.19/0.42 inference(transitivity,[status(thm)],[36, 34])).
% 0.19/0.42 tff(38,plain,
% 0.19/0.42 ((~![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))),
% 0.19/0.42 inference(quant_inst,[status(thm)],[])).
% 0.19/0.42 tff(39,plain,
% 0.19/0.42 ((~![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)),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[38, 37])).
% 0.19/0.42 tff(40,plain,
% 0.19/0.42 ((place_of(b) = first) | (place_of(b) = second)),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[39, 33, 26, 22])).
% 0.19/0.42 tff(41,plain,
% 0.19/0.42 ($false),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[40, 18, 16])).
% 0.19/0.42 tff(42,plain,((b = a) | (b = c) | (place_of(b) = first) | (place_of(b) = second)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.42 tff(43,plain,
% 0.19/0.42 (^[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)))))),
% 0.19/0.42 inference(bind,[status(th)],[])).
% 0.19/0.42 tff(44,plain,
% 0.19/0.42 (![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))))),
% 0.19/0.42 inference(quant_intro,[status(thm)],[43])).
% 0.19/0.42 tff(45,plain,
% 0.19/0.42 (^[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)))))),
% 0.19/0.42 inference(bind,[status(th)],[])).
% 0.19/0.42 tff(46,plain,
% 0.19/0.42 (![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))))),
% 0.19/0.42 inference(quant_intro,[status(thm)],[45])).
% 0.19/0.42 tff(47,plain,
% 0.19/0.42 (![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))))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(48,plain,
% 0.19/0.42 (^[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))))))),
% 0.19/0.42 inference(bind,[status(th)],[])).
% 0.19/0.42 tff(49,plain,
% 0.19/0.42 (![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))))),
% 0.19/0.42 inference(quant_intro,[status(thm)],[48])).
% 0.19/0.42 tff(50,axiom,(![X: knowheyan] : ((entry_of(X) = collage_painting) => ((((~(X = a)) & (~(X = c))) & (~(place_of(X) = first))) & (~(place_of(X) = second))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','collage_info')).
% 0.19/0.42 tff(51,plain,
% 0.19/0.42 (![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | ((~(X = a)) & (~(X = c)) & (~(place_of(X) = first)) & (~(place_of(X) = second))))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[50, 49])).
% 0.19/0.43 tff(52,plain,
% 0.19/0.43 (![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | ((~(X = a)) & (~(X = c)) & (~(place_of(X) = first)) & (~(place_of(X) = second))))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[51, 47])).
% 0.19/0.43 tff(53,plain,(
% 0.19/0.43 ![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | ((~(X = a)) & (~(X = c)) & (~(place_of(X) = first)) & (~(place_of(X) = second))))),
% 0.19/0.43 inference(skolemize,[status(sab)],[52])).
% 0.19/0.43 tff(54,plain,
% 0.19/0.43 (![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | (~((X = a) | (X = c) | (place_of(X) = first) | (place_of(X) = second))))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[53, 46])).
% 0.19/0.43 tff(55,plain,
% 0.19/0.43 (![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | (~((X = a) | (X = c) | (place_of(X) = first) | (place_of(X) = second))))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[54, 44])).
% 0.19/0.43 tff(56,plain,
% 0.19/0.43 (((~![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))))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(57,plain,
% 0.19/0.43 ((~![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))))),
% 0.19/0.43 inference(quant_inst,[status(thm)],[])).
% 0.19/0.43 tff(58,plain,
% 0.19/0.43 ((~![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)))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[57, 56])).
% 0.19/0.43 tff(59,plain,
% 0.19/0.43 ((~(entry_of(b) = collage_painting)) | (~((b = a) | (b = c) | (place_of(b) = first) | (place_of(b) = second)))),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[58, 55])).
% 0.19/0.43 tff(60,plain,
% 0.19/0.43 (~(entry_of(b) = collage_painting)),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[59, 42])).
% 0.19/0.43 tff(61,plain,
% 0.19/0.43 ((~![Xk!0: knowheyan] : (inj_0(entry_of(Xk!0)) = Xk!0)) | (inj_0(entry_of(b)) = b)),
% 0.19/0.43 inference(quant_inst,[status(thm)],[])).
% 0.19/0.43 tff(62,plain,
% 0.19/0.43 (inj_0(entry_of(b)) = b),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[61, 11])).
% 0.19/0.43 tff(63,plain,
% 0.19/0.43 (((~![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)))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(64,plain,
% 0.19/0.43 (((~(entry_of(a) = collage_painting)) | $false) <=> (~(entry_of(a) = collage_painting))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(65,plain,
% 0.19/0.43 ((~$true) <=> $false),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(66,plain,
% 0.19/0.43 (($true | (a = c) | (place_of(a) = first) | (place_of(a) = second)) <=> $true),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(67,plain,
% 0.19/0.43 ((a = a) <=> $true),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(68,plain,
% 0.19/0.43 (((a = a) | (a = c) | (place_of(a) = first) | (place_of(a) = second)) <=> ($true | (a = c) | (place_of(a) = first) | (place_of(a) = second))),
% 0.19/0.43 inference(monotonicity,[status(thm)],[67])).
% 0.19/0.43 tff(69,plain,
% 0.19/0.43 (((a = a) | (a = c) | (place_of(a) = first) | (place_of(a) = second)) <=> $true),
% 0.19/0.43 inference(transitivity,[status(thm)],[68, 66])).
% 0.19/0.43 tff(70,plain,
% 0.19/0.43 ((~((a = a) | (a = c) | (place_of(a) = first) | (place_of(a) = second))) <=> (~$true)),
% 0.19/0.43 inference(monotonicity,[status(thm)],[69])).
% 0.19/0.43 tff(71,plain,
% 0.19/0.43 ((~((a = a) | (a = c) | (place_of(a) = first) | (place_of(a) = second))) <=> $false),
% 0.19/0.43 inference(transitivity,[status(thm)],[70, 65])).
% 0.19/0.43 tff(72,plain,
% 0.19/0.43 (((~(entry_of(a) = collage_painting)) | (~((a = a) | (a = c) | (place_of(a) = first) | (place_of(a) = second)))) <=> ((~(entry_of(a) = collage_painting)) | $false)),
% 0.19/0.43 inference(monotonicity,[status(thm)],[71])).
% 0.19/0.43 tff(73,plain,
% 0.19/0.43 (((~(entry_of(a) = collage_painting)) | (~((a = a) | (a = c) | (place_of(a) = first) | (place_of(a) = second)))) <=> (~(entry_of(a) = collage_painting))),
% 0.19/0.43 inference(transitivity,[status(thm)],[72, 64])).
% 0.19/0.43 tff(74,plain,
% 0.19/0.43 (((~![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)))),
% 0.19/0.43 inference(monotonicity,[status(thm)],[73])).
% 0.19/0.43 tff(75,plain,
% 0.19/0.43 (((~![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)))),
% 0.19/0.43 inference(transitivity,[status(thm)],[74, 63])).
% 0.19/0.43 tff(76,plain,
% 0.19/0.43 ((~![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))))),
% 0.19/0.43 inference(quant_inst,[status(thm)],[])).
% 0.19/0.43 tff(77,plain,
% 0.19/0.43 ((~![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | (~((X = a) | (X = c) | (place_of(X) = first) | (place_of(X) = second))))) | (~(entry_of(a) = collage_painting))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[76, 75])).
% 0.19/0.43 tff(78,plain,
% 0.19/0.43 (~(entry_of(a) = collage_painting)),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[77, 55])).
% 0.19/0.43 tff(79,plain,
% 0.19/0.43 (^[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)))))),
% 0.19/0.43 inference(bind,[status(th)],[])).
% 0.19/0.43 tff(80,plain,
% 0.19/0.43 (![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))))),
% 0.19/0.43 inference(quant_intro,[status(thm)],[79])).
% 0.19/0.43 tff(81,plain,
% 0.19/0.43 (^[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)))))),
% 0.19/0.43 inference(bind,[status(th)],[])).
% 0.19/0.43 tff(82,plain,
% 0.19/0.43 (![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))))),
% 0.19/0.43 inference(quant_intro,[status(thm)],[81])).
% 0.19/0.43 tff(83,plain,
% 0.19/0.43 (![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))))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(84,plain,
% 0.19/0.43 (^[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)))))),
% 0.19/0.43 inference(bind,[status(th)],[])).
% 0.19/0.43 tff(85,plain,
% 0.19/0.43 (![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))))),
% 0.19/0.43 inference(quant_intro,[status(thm)],[84])).
% 0.19/0.43 tff(86,axiom,((~(entry_of(b) = laser_etching)) & ![X: knowheyan] : ((entry_of(X) = laser_etching) => ((~(X = a)) & (~(place_of(X) = second))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','laser_etching_info')).
% 0.19/0.43 tff(87,plain,
% 0.19/0.43 (![X: knowheyan] : ((entry_of(X) = laser_etching) => ((~(X = a)) & (~(place_of(X) = second))))),
% 0.19/0.43 inference(and_elim,[status(thm)],[86])).
% 0.19/0.43 tff(88,plain,
% 0.19/0.43 (![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | ((~(X = a)) & (~(place_of(X) = second))))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[87, 85])).
% 0.19/0.43 tff(89,plain,
% 0.19/0.43 (![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | ((~(X = a)) & (~(place_of(X) = second))))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[88, 83])).
% 0.19/0.43 tff(90,plain,(
% 0.19/0.43 ![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | ((~(X = a)) & (~(place_of(X) = second))))),
% 0.19/0.43 inference(skolemize,[status(sab)],[89])).
% 0.19/0.43 tff(91,plain,
% 0.19/0.43 (![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~((X = a) | (place_of(X) = second))))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[90, 82])).
% 0.19/0.43 tff(92,plain,
% 0.19/0.43 (![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~((X = a) | (place_of(X) = second))))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[91, 80])).
% 0.19/0.43 tff(93,plain,
% 0.19/0.43 (((~![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)))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(94,plain,
% 0.19/0.43 (((~(entry_of(a) = laser_etching)) | $false) <=> (~(entry_of(a) = laser_etching))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(95,plain,
% 0.19/0.43 (($true | (place_of(a) = second)) <=> $true),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(96,plain,
% 0.19/0.43 (((a = a) | (place_of(a) = second)) <=> ($true | (place_of(a) = second))),
% 0.19/0.43 inference(monotonicity,[status(thm)],[67])).
% 0.19/0.43 tff(97,plain,
% 0.19/0.43 (((a = a) | (place_of(a) = second)) <=> $true),
% 0.19/0.43 inference(transitivity,[status(thm)],[96, 95])).
% 0.19/0.43 tff(98,plain,
% 0.19/0.43 ((~((a = a) | (place_of(a) = second))) <=> (~$true)),
% 0.19/0.43 inference(monotonicity,[status(thm)],[97])).
% 0.19/0.43 tff(99,plain,
% 0.19/0.43 ((~((a = a) | (place_of(a) = second))) <=> $false),
% 0.19/0.43 inference(transitivity,[status(thm)],[98, 65])).
% 0.19/0.43 tff(100,plain,
% 0.19/0.43 (((~(entry_of(a) = laser_etching)) | (~((a = a) | (place_of(a) = second)))) <=> ((~(entry_of(a) = laser_etching)) | $false)),
% 0.19/0.43 inference(monotonicity,[status(thm)],[99])).
% 0.19/0.43 tff(101,plain,
% 0.19/0.43 (((~(entry_of(a) = laser_etching)) | (~((a = a) | (place_of(a) = second)))) <=> (~(entry_of(a) = laser_etching))),
% 0.19/0.43 inference(transitivity,[status(thm)],[100, 94])).
% 0.19/0.43 tff(102,plain,
% 0.19/0.43 (((~![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)))),
% 0.19/0.43 inference(monotonicity,[status(thm)],[101])).
% 0.19/0.43 tff(103,plain,
% 0.19/0.43 (((~![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)))),
% 0.19/0.43 inference(transitivity,[status(thm)],[102, 93])).
% 0.19/0.43 tff(104,plain,
% 0.19/0.43 ((~![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~((X = a) | (place_of(X) = second))))) | ((~(entry_of(a) = laser_etching)) | (~((a = a) | (place_of(a) = second))))),
% 0.19/0.43 inference(quant_inst,[status(thm)],[])).
% 0.19/0.43 tff(105,plain,
% 0.19/0.43 ((~![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~((X = a) | (place_of(X) = second))))) | (~(entry_of(a) = laser_etching))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[104, 103])).
% 0.19/0.43 tff(106,plain,
% 0.19/0.43 (~(entry_of(a) = laser_etching)),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[105, 92])).
% 0.19/0.43 tff(107,plain,
% 0.19/0.43 ((~(entry_of(a) = holography)) <=> (~(entry_of(a) = holography))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(108,axiom,((~(place_of(a) = first)) & (~(entry_of(a) = holography))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','a_info')).
% 0.19/0.44 tff(109,plain,
% 0.19/0.44 (~(entry_of(a) = holography)),
% 0.19/0.44 inference(and_elim,[status(thm)],[108])).
% 0.19/0.44 tff(110,plain,
% 0.19/0.44 (~(entry_of(a) = holography)),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[109, 107])).
% 0.19/0.44 tff(111,plain,
% 0.19/0.44 (![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))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(112,plain,
% 0.19/0.44 (^[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))))),
% 0.19/0.44 inference(bind,[status(th)],[])).
% 0.19/0.44 tff(113,plain,
% 0.19/0.44 (![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))),
% 0.19/0.44 inference(quant_intro,[status(thm)],[112])).
% 0.19/0.44 tff(114,axiom,(![X: entry] : ((((X = collage_painting) | (X = holography)) | (X = laser_etching)) | (X = reconstituted_materials_sculpture))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','only_entries')).
% 0.19/0.44 tff(115,plain,
% 0.19/0.44 (![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[114, 113])).
% 0.19/0.44 tff(116,plain,
% 0.19/0.44 (![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[115, 111])).
% 0.19/0.44 tff(117,plain,(
% 0.19/0.44 ![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))),
% 0.19/0.44 inference(skolemize,[status(sab)],[116])).
% 0.19/0.44 tff(118,plain,
% 0.19/0.44 (((~![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))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(119,plain,
% 0.19/0.44 (((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))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(120,plain,
% 0.19/0.44 (((~![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)))),
% 0.19/0.44 inference(monotonicity,[status(thm)],[119])).
% 0.19/0.44 tff(121,plain,
% 0.19/0.44 (((~![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))),
% 0.19/0.44 inference(transitivity,[status(thm)],[120, 118])).
% 0.19/0.44 tff(122,plain,
% 0.19/0.44 ((~![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))),
% 0.19/0.44 inference(quant_inst,[status(thm)],[])).
% 0.19/0.44 tff(123,plain,
% 0.19/0.44 ((~![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)),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[122, 121])).
% 0.19/0.44 tff(124,plain,
% 0.19/0.44 (entry_of(a) = reconstituted_materials_sculpture),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[123, 117, 110, 106, 78])).
% 0.19/0.44 tff(125,plain,
% 0.19/0.44 (reconstituted_materials_sculpture = entry_of(a)),
% 0.19/0.44 inference(symmetry,[status(thm)],[124])).
% 0.19/0.44 tff(126,assumption,(entry_of(b) = reconstituted_materials_sculpture), introduced(assumption)).
% 0.19/0.44 tff(127,plain,
% 0.19/0.44 (entry_of(b) = entry_of(a)),
% 0.19/0.44 inference(transitivity,[status(thm)],[126, 125])).
% 0.19/0.44 tff(128,plain,
% 0.19/0.44 (inj_0(entry_of(b)) = inj_0(entry_of(a))),
% 0.19/0.44 inference(monotonicity,[status(thm)],[127])).
% 0.19/0.44 tff(129,plain,
% 0.19/0.44 (inj_0(entry_of(a)) = inj_0(entry_of(b))),
% 0.19/0.44 inference(symmetry,[status(thm)],[128])).
% 0.19/0.44 tff(130,plain,
% 0.19/0.44 ((~![Xk!0: knowheyan] : (inj_0(entry_of(Xk!0)) = Xk!0)) | (inj_0(entry_of(a)) = a)),
% 0.19/0.44 inference(quant_inst,[status(thm)],[])).
% 0.19/0.44 tff(131,plain,
% 0.19/0.44 (inj_0(entry_of(a)) = a),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[130, 11])).
% 0.19/0.44 tff(132,plain,
% 0.19/0.44 (a = inj_0(entry_of(a))),
% 0.19/0.44 inference(symmetry,[status(thm)],[131])).
% 0.19/0.44 tff(133,plain,
% 0.19/0.44 (a = b),
% 0.19/0.44 inference(transitivity,[status(thm)],[132, 129, 62])).
% 0.19/0.44 tff(134,plain,
% 0.19/0.44 ((~(a = b)) <=> (~(a = b))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(135,axiom,(~(a = b)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','a_not_b')).
% 0.19/0.44 tff(136,plain,
% 0.19/0.44 (~(a = b)),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[135, 134])).
% 0.19/0.44 tff(137,plain,
% 0.19/0.44 ($false),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[136, 133])).
% 0.19/0.44 tff(138,plain,(~(entry_of(b) = reconstituted_materials_sculpture)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.44 tff(139,plain,
% 0.19/0.44 ((~(entry_of(b) = laser_etching)) <=> (~(entry_of(b) = laser_etching))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(140,plain,
% 0.19/0.44 (~(entry_of(b) = laser_etching)),
% 0.19/0.44 inference(and_elim,[status(thm)],[86])).
% 0.19/0.44 tff(141,plain,
% 0.19/0.44 (~(entry_of(b) = laser_etching)),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[140, 139])).
% 0.19/0.44 tff(142,plain,
% 0.19/0.44 (((~![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))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(143,plain,
% 0.19/0.44 (((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))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(144,plain,
% 0.19/0.44 (((~![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)))),
% 0.19/0.44 inference(monotonicity,[status(thm)],[143])).
% 0.19/0.44 tff(145,plain,
% 0.19/0.44 (((~![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))),
% 0.19/0.44 inference(transitivity,[status(thm)],[144, 142])).
% 0.19/0.44 tff(146,plain,
% 0.19/0.44 ((~![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))),
% 0.19/0.44 inference(quant_inst,[status(thm)],[])).
% 0.19/0.44 tff(147,plain,
% 0.19/0.44 ((~![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)),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[146, 145])).
% 0.19/0.44 tff(148,plain,
% 0.19/0.44 ((entry_of(b) = holography) | (entry_of(b) = collage_painting) | (entry_of(b) = reconstituted_materials_sculpture)),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[147, 117, 141])).
% 0.19/0.44 tff(149,plain,
% 0.19/0.44 ((entry_of(b) = holography) | (entry_of(b) = collage_painting)),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[148, 138])).
% 0.19/0.44 tff(150,plain,
% 0.19/0.44 (entry_of(b) = holography),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[149, 60])).
% 0.19/0.44 tff(151,plain,
% 0.19/0.44 (holography = entry_of(b)),
% 0.19/0.44 inference(symmetry,[status(thm)],[150])).
% 0.19/0.44 tff(152,plain,
% 0.19/0.44 ((~![Xk!0: knowheyan] : (inj_0(entry_of(Xk!0)) = Xk!0)) | (inj_0(entry_of(c)) = c)),
% 0.19/0.44 inference(quant_inst,[status(thm)],[])).
% 0.19/0.44 tff(153,plain,
% 0.19/0.44 (inj_0(entry_of(c)) = c),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[152, 11])).
% 0.19/0.44 tff(154,assumption,(entry_of(c) = holography), introduced(assumption)).
% 0.19/0.44 tff(155,plain,
% 0.19/0.44 (holography = entry_of(c)),
% 0.19/0.44 inference(symmetry,[status(thm)],[154])).
% 0.19/0.44 tff(156,assumption,(entry_of(b) = holography), introduced(assumption)).
% 0.19/0.44 tff(157,plain,
% 0.19/0.44 (entry_of(b) = entry_of(c)),
% 0.19/0.44 inference(transitivity,[status(thm)],[156, 155])).
% 0.19/0.44 tff(158,plain,
% 0.19/0.44 (inj_0(entry_of(b)) = inj_0(entry_of(c))),
% 0.19/0.44 inference(monotonicity,[status(thm)],[157])).
% 0.19/0.44 tff(159,plain,
% 0.19/0.44 (b = inj_0(entry_of(b))),
% 0.19/0.44 inference(symmetry,[status(thm)],[62])).
% 0.19/0.44 tff(160,plain,
% 0.19/0.44 (b = c),
% 0.19/0.44 inference(transitivity,[status(thm)],[159, 158, 153])).
% 0.19/0.44 tff(161,plain,
% 0.19/0.44 ((~(b = c)) <=> (~(b = c))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(162,axiom,(~(b = c)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','b_not_c')).
% 0.19/0.44 tff(163,plain,
% 0.19/0.44 (~(b = c)),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[162, 161])).
% 0.19/0.44 tff(164,plain,
% 0.19/0.44 ($false),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[163, 160])).
% 0.19/0.45 tff(165,plain,((~(entry_of(b) = holography)) | (~(entry_of(c) = holography))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.45 tff(166,plain,
% 0.19/0.45 (~(entry_of(c) = holography)),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[165, 150])).
% 0.19/0.45 tff(167,assumption,(entry_of(c) = reconstituted_materials_sculpture), introduced(assumption)).
% 0.19/0.45 tff(168,plain,
% 0.19/0.45 (entry_of(c) = entry_of(a)),
% 0.19/0.45 inference(transitivity,[status(thm)],[167, 125])).
% 0.19/0.45 tff(169,plain,
% 0.19/0.45 (inj_0(entry_of(c)) = inj_0(entry_of(a))),
% 0.19/0.45 inference(monotonicity,[status(thm)],[168])).
% 0.19/0.45 tff(170,plain,
% 0.19/0.45 (inj_0(entry_of(a)) = inj_0(entry_of(c))),
% 0.19/0.45 inference(symmetry,[status(thm)],[169])).
% 0.19/0.45 tff(171,plain,
% 0.19/0.45 (a = c),
% 0.19/0.45 inference(transitivity,[status(thm)],[132, 170, 153])).
% 0.19/0.45 tff(172,plain,
% 0.19/0.45 ((~(a = c)) <=> (~(a = c))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(173,axiom,(~(a = c)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','a_not_c')).
% 0.19/0.45 tff(174,plain,
% 0.19/0.45 (~(a = c)),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[173, 172])).
% 0.19/0.45 tff(175,plain,
% 0.19/0.45 ($false),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[174, 171])).
% 0.19/0.45 tff(176,plain,(~(entry_of(c) = reconstituted_materials_sculpture)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.45 tff(177,plain,
% 0.19/0.45 (((~![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)))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(178,plain,
% 0.19/0.45 (((~(entry_of(c) = collage_painting)) | $false) <=> (~(entry_of(c) = collage_painting))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(179,plain,
% 0.19/0.45 (((c = a) | $true | (place_of(c) = first) | (place_of(c) = second)) <=> $true),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(180,plain,
% 0.19/0.45 ((c = c) <=> $true),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(181,plain,
% 0.19/0.45 (((c = a) | (c = c) | (place_of(c) = first) | (place_of(c) = second)) <=> ((c = a) | $true | (place_of(c) = first) | (place_of(c) = second))),
% 0.19/0.45 inference(monotonicity,[status(thm)],[180])).
% 0.19/0.45 tff(182,plain,
% 0.19/0.45 (((c = a) | (c = c) | (place_of(c) = first) | (place_of(c) = second)) <=> $true),
% 0.19/0.45 inference(transitivity,[status(thm)],[181, 179])).
% 0.19/0.45 tff(183,plain,
% 0.19/0.45 ((~((c = a) | (c = c) | (place_of(c) = first) | (place_of(c) = second))) <=> (~$true)),
% 0.19/0.45 inference(monotonicity,[status(thm)],[182])).
% 0.19/0.45 tff(184,plain,
% 0.19/0.45 ((~((c = a) | (c = c) | (place_of(c) = first) | (place_of(c) = second))) <=> $false),
% 0.19/0.45 inference(transitivity,[status(thm)],[183, 65])).
% 0.19/0.45 tff(185,plain,
% 0.19/0.45 (((~(entry_of(c) = collage_painting)) | (~((c = a) | (c = c) | (place_of(c) = first) | (place_of(c) = second)))) <=> ((~(entry_of(c) = collage_painting)) | $false)),
% 0.19/0.45 inference(monotonicity,[status(thm)],[184])).
% 0.19/0.45 tff(186,plain,
% 0.19/0.45 (((~(entry_of(c) = collage_painting)) | (~((c = a) | (c = c) | (place_of(c) = first) | (place_of(c) = second)))) <=> (~(entry_of(c) = collage_painting))),
% 0.19/0.45 inference(transitivity,[status(thm)],[185, 178])).
% 0.19/0.45 tff(187,plain,
% 0.19/0.45 (((~![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)))),
% 0.19/0.45 inference(monotonicity,[status(thm)],[186])).
% 0.19/0.45 tff(188,plain,
% 0.19/0.45 (((~![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)))),
% 0.19/0.45 inference(transitivity,[status(thm)],[187, 177])).
% 0.19/0.45 tff(189,plain,
% 0.19/0.45 ((~![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))))),
% 0.19/0.45 inference(quant_inst,[status(thm)],[])).
% 0.19/0.45 tff(190,plain,
% 0.19/0.45 ((~![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | (~((X = a) | (X = c) | (place_of(X) = first) | (place_of(X) = second))))) | (~(entry_of(c) = collage_painting))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[189, 188])).
% 0.19/0.45 tff(191,plain,
% 0.19/0.45 (~(entry_of(c) = collage_painting)),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[190, 55])).
% 0.19/0.45 tff(192,plain,
% 0.19/0.45 (((~![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))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(193,plain,
% 0.19/0.45 (((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))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(194,plain,
% 0.19/0.45 (((~![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)))),
% 0.19/0.45 inference(monotonicity,[status(thm)],[193])).
% 0.19/0.45 tff(195,plain,
% 0.19/0.45 (((~![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))),
% 0.19/0.45 inference(transitivity,[status(thm)],[194, 192])).
% 0.19/0.45 tff(196,plain,
% 0.19/0.45 ((~![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))),
% 0.19/0.45 inference(quant_inst,[status(thm)],[])).
% 0.19/0.45 tff(197,plain,
% 0.19/0.45 ((~![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)),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[196, 195])).
% 0.19/0.45 tff(198,plain,
% 0.19/0.45 ((entry_of(c) = laser_etching) | (entry_of(c) = holography) | (entry_of(c) = reconstituted_materials_sculpture)),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[197, 117, 191])).
% 0.19/0.45 tff(199,plain,
% 0.19/0.45 ((entry_of(c) = laser_etching) | (entry_of(c) = holography)),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[198, 176])).
% 0.19/0.45 tff(200,plain,
% 0.19/0.45 (entry_of(c) = laser_etching),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[199, 166])).
% 0.19/0.45 tff(201,assumption,(entry_of(d) = laser_etching), introduced(assumption)).
% 0.19/0.45 tff(202,plain,
% 0.19/0.45 (laser_etching = entry_of(d)),
% 0.19/0.45 inference(symmetry,[status(thm)],[201])).
% 0.19/0.45 tff(203,assumption,(entry_of(c) = laser_etching), introduced(assumption)).
% 0.19/0.45 tff(204,plain,
% 0.19/0.45 (entry_of(c) = entry_of(d)),
% 0.19/0.45 inference(transitivity,[status(thm)],[203, 202])).
% 0.19/0.45 tff(205,plain,
% 0.19/0.45 (inj_0(entry_of(c)) = inj_0(entry_of(d))),
% 0.19/0.45 inference(monotonicity,[status(thm)],[204])).
% 0.19/0.45 tff(206,plain,
% 0.19/0.45 (c = inj_0(entry_of(c))),
% 0.19/0.45 inference(symmetry,[status(thm)],[153])).
% 0.19/0.45 tff(207,plain,
% 0.19/0.45 (c = d),
% 0.19/0.45 inference(transitivity,[status(thm)],[206, 205, 13])).
% 0.19/0.45 tff(208,plain,
% 0.19/0.45 ((~(c = d)) <=> (~(c = d))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(209,axiom,(~(c = d)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','c_not_d')).
% 0.19/0.45 tff(210,plain,
% 0.19/0.45 (~(c = d)),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[209, 208])).
% 0.19/0.45 tff(211,plain,
% 0.19/0.45 ($false),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[210, 207])).
% 0.19/0.45 tff(212,plain,((~(entry_of(c) = laser_etching)) | (~(entry_of(d) = laser_etching))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.45 tff(213,plain,
% 0.19/0.45 (~(entry_of(d) = laser_etching)),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[212, 200])).
% 0.19/0.45 tff(214,plain,
% 0.19/0.45 ((~(~((~(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)))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(215,plain,
% 0.19/0.45 (((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))))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(216,plain,
% 0.19/0.45 ((~((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)))))),
% 0.19/0.45 inference(monotonicity,[status(thm)],[215])).
% 0.19/0.45 tff(217,plain,
% 0.19/0.45 ((~((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)))),
% 0.19/0.45 inference(transitivity,[status(thm)],[216, 214])).
% 0.19/0.45 tff(218,plain,
% 0.19/0.45 ((~((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)))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(219,plain,
% 0.19/0.45 ((~((((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)))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(220,axiom,(~((((entry_of(a) = reconstituted_materials_sculpture) & (entry_of(b) = holography)) & (entry_of(c) = laser_etching)) & (entry_of(d) = collage_painting))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','entries')).
% 0.19/0.45 tff(221,plain,
% 0.19/0.45 (~((entry_of(a) = reconstituted_materials_sculpture) & (entry_of(b) = holography) & (entry_of(c) = laser_etching) & (entry_of(d) = collage_painting))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[220, 219])).
% 0.19/0.45 tff(222,plain,
% 0.19/0.45 (~((entry_of(a) = reconstituted_materials_sculpture) & (entry_of(b) = holography) & (entry_of(c) = laser_etching) & (entry_of(d) = collage_painting))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[221, 218])).
% 0.19/0.45 tff(223,plain,
% 0.19/0.45 ((~(entry_of(a) = reconstituted_materials_sculpture)) | (~(entry_of(b) = holography)) | (~(entry_of(c) = laser_etching)) | (~(entry_of(d) = collage_painting))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[222, 217])).
% 0.19/0.45 tff(224,plain,
% 0.19/0.45 ((~(entry_of(b) = holography)) | (~(entry_of(c) = laser_etching)) | (~(entry_of(d) = collage_painting))),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[223, 124])).
% 0.19/0.45 tff(225,plain,
% 0.19/0.45 (~(entry_of(d) = collage_painting)),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[224, 200, 150])).
% 0.19/0.45 tff(226,assumption,(entry_of(d) = reconstituted_materials_sculpture), introduced(assumption)).
% 0.19/0.45 tff(227,plain,
% 0.19/0.45 (entry_of(d) = entry_of(a)),
% 0.19/0.45 inference(transitivity,[status(thm)],[226, 125])).
% 0.19/0.45 tff(228,plain,
% 0.19/0.45 (inj_0(entry_of(d)) = inj_0(entry_of(a))),
% 0.19/0.45 inference(monotonicity,[status(thm)],[227])).
% 0.19/0.45 tff(229,plain,
% 0.19/0.45 (inj_0(entry_of(a)) = inj_0(entry_of(d))),
% 0.19/0.45 inference(symmetry,[status(thm)],[228])).
% 0.19/0.45 tff(230,plain,
% 0.19/0.45 (a = d),
% 0.19/0.45 inference(transitivity,[status(thm)],[132, 229, 13])).
% 0.19/0.45 tff(231,plain,
% 0.19/0.45 ((~(a = d)) <=> (~(a = d))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(232,axiom,(~(a = d)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','a_not_d')).
% 0.19/0.45 tff(233,plain,
% 0.19/0.45 (~(a = d)),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[232, 231])).
% 0.19/0.45 tff(234,plain,
% 0.19/0.45 ($false),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[233, 230])).
% 0.19/0.45 tff(235,plain,(~(entry_of(d) = reconstituted_materials_sculpture)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.45 tff(236,plain,
% 0.19/0.45 (((~![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))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(237,plain,
% 0.19/0.45 (((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))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(238,plain,
% 0.19/0.45 (((~![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)))),
% 0.19/0.45 inference(monotonicity,[status(thm)],[237])).
% 0.19/0.45 tff(239,plain,
% 0.19/0.45 (((~![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))),
% 0.19/0.45 inference(transitivity,[status(thm)],[238, 236])).
% 0.19/0.45 tff(240,plain,
% 0.19/0.45 ((~![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))),
% 0.19/0.46 inference(quant_inst,[status(thm)],[])).
% 0.19/0.46 tff(241,plain,
% 0.19/0.46 ((~![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)),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[240, 239])).
% 0.19/0.46 tff(242,plain,
% 0.19/0.46 ((entry_of(d) = collage_painting) | (entry_of(d) = laser_etching) | (entry_of(d) = holography) | (entry_of(d) = reconstituted_materials_sculpture)),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[241, 117])).
% 0.19/0.46 tff(243,plain,
% 0.19/0.46 ((entry_of(d) = collage_painting) | (entry_of(d) = laser_etching) | (entry_of(d) = holography)),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[242, 235])).
% 0.19/0.46 tff(244,plain,
% 0.19/0.46 (entry_of(d) = holography),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[243, 225, 213])).
% 0.19/0.46 tff(245,plain,
% 0.19/0.46 (entry_of(d) = entry_of(b)),
% 0.19/0.46 inference(transitivity,[status(thm)],[244, 151])).
% 0.19/0.46 tff(246,plain,
% 0.19/0.46 (inj_0(entry_of(d)) = inj_0(entry_of(b))),
% 0.19/0.46 inference(monotonicity,[status(thm)],[245])).
% 0.19/0.46 tff(247,plain,
% 0.19/0.46 (inj_0(entry_of(b)) = inj_0(entry_of(d))),
% 0.19/0.46 inference(symmetry,[status(thm)],[246])).
% 0.19/0.46 tff(248,plain,
% 0.19/0.46 (b = d),
% 0.19/0.46 inference(transitivity,[status(thm)],[159, 247, 13])).
% 0.19/0.46 tff(249,plain,
% 0.19/0.46 ((~(b = d)) <=> (~(b = d))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(250,axiom,(~(b = d)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','b_not_d')).
% 0.19/0.46 tff(251,plain,
% 0.19/0.46 (~(b = d)),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[250, 249])).
% 0.19/0.46 tff(252,plain,
% 0.19/0.46 ($false),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[251, 248])).
% 0.19/0.46 % SZS output end Proof
%------------------------------------------------------------------------------