%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : PUZ135_2 : TPTP v8.1.0. Released v5.1.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n023.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun Sep 18 14:11:34 EDT 2022

% Result   : Theorem 0.21s 0.42s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : PUZ135_2 : TPTP v8.1.0. Released v5.1.0.
% 0.03/0.13  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.34  % Computer : n023.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Fri Sep  2 19:26:48 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.14/0.35  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.35  Usage: tptp [options] [-file:]file
% 0.14/0.35    -h, -?       prints this message.
% 0.14/0.35    -smt2        print SMT-LIB2 benchmark.
% 0.14/0.35    -m, -model   generate model.
% 0.14/0.35    -p, -proof   generate proof.
% 0.14/0.35    -c, -core    generate unsat core of named formulas.
% 0.14/0.35    -st, -statistics display statistics.
% 0.14/0.35    -t:timeout   set timeout (in second).
% 0.14/0.35    -smt2status  display status in smt2 format instead of SZS.
% 0.14/0.35    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.35    -<param>:<value> configuration parameter and value.
% 0.14/0.35    -o:<output-file> file to place output in.
% 0.21/0.42  % SZS status Theorem
% 0.21/0.42  % SZS output start Proof
% 0.21/0.42  tff(first_type, type, (
% 0.21/0.42     first: place)).
% 0.21/0.42  tff(place_of_type, type, (
% 0.21/0.42     place_of: knowheyan > place)).
% 0.21/0.42  tff(b_type, type, (
% 0.21/0.42     b: knowheyan)).
% 0.21/0.42  tff(second_type, type, (
% 0.21/0.42     second: place)).
% 0.21/0.42  tff(c_type, type, (
% 0.21/0.42     c: knowheyan)).
% 0.21/0.42  tff(a_type, type, (
% 0.21/0.42     a: knowheyan)).
% 0.21/0.42  tff(collage_painting_type, type, (
% 0.21/0.42     collage_painting: entry)).
% 0.21/0.42  tff(entry_of_type, type, (
% 0.21/0.42     entry_of: knowheyan > entry)).
% 0.21/0.42  tff(reconstituted_materials_sculpture_type, type, (
% 0.21/0.42     reconstituted_materials_sculpture: entry)).
% 0.21/0.42  tff(inj_0_type, type, (
% 0.21/0.42     inj_0: entry > knowheyan)).
% 0.21/0.42  tff(laser_etching_type, type, (
% 0.21/0.42     laser_etching: entry)).
% 0.21/0.42  tff(holography_type, type, (
% 0.21/0.42     holography: entry)).
% 0.21/0.42  tff(fourth_type, type, (
% 0.21/0.42     fourth: place)).
% 0.21/0.42  tff(d_type, type, (
% 0.21/0.42     d: knowheyan)).
% 0.21/0.42  tff(inj_1_type, type, (
% 0.21/0.42     inj_1: place > knowheyan)).
% 0.21/0.42  tff(third_type, type, (
% 0.21/0.42     third: place)).
% 0.21/0.42  tff(1,plain,
% 0.21/0.42      (![Xk!0: knowheyan] : (inj_0(entry_of(Xk!0)) = Xk!0) <=> ![Xk!0: knowheyan] : (inj_0(entry_of(Xk!0)) = Xk!0)),
% 0.21/0.42      inference(rewrite,[status(thm)],[])).
% 0.21/0.42  tff(2,plain,
% 0.21/0.42      (![X: knowheyan, Y: knowheyan] : ((~(entry_of(X) = entry_of(Y))) | (X = Y)) <=> ![Xk!0: knowheyan] : (inj_0(entry_of(Xk!0)) = Xk!0)),
% 0.21/0.42      inference(rewrite,[status(thm)],[])).
% 0.21/0.42  tff(3,plain,
% 0.21/0.42      (![X: knowheyan, Y: knowheyan] : ((~(entry_of(X) = entry_of(Y))) | (X = Y)) <=> ![X: knowheyan, Y: knowheyan] : ((~(entry_of(X) = entry_of(Y))) | (X = Y))),
% 0.21/0.42      inference(rewrite,[status(thm)],[])).
% 0.21/0.42  tff(4,plain,
% 0.21/0.42      (^[X: knowheyan, Y: knowheyan] : rewrite(((~(X = Y)) => (~(entry_of(X) = entry_of(Y)))) <=> ((~(entry_of(X) = entry_of(Y))) | (X = Y)))),
% 0.21/0.42      inference(bind,[status(th)],[])).
% 0.21/0.42  tff(5,plain,
% 0.21/0.42      (![X: knowheyan, Y: knowheyan] : ((~(X = Y)) => (~(entry_of(X) = entry_of(Y)))) <=> ![X: knowheyan, Y: knowheyan] : ((~(entry_of(X) = entry_of(Y))) | (X = Y))),
% 0.21/0.42      inference(quant_intro,[status(thm)],[4])).
% 0.21/0.42  tff(6,axiom,(![X: knowheyan, Y: knowheyan] : ((~(X = Y)) => (~(entry_of(X) = entry_of(Y))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','unique_entrys')).
% 0.21/0.42  tff(7,plain,
% 0.21/0.42      (![X: knowheyan, Y: knowheyan] : ((~(entry_of(X) = entry_of(Y))) | (X = Y))),
% 0.21/0.42      inference(modus_ponens,[status(thm)],[6, 5])).
% 0.21/0.42  tff(8,plain,
% 0.21/0.42      (![X: knowheyan, Y: knowheyan] : ((~(entry_of(X) = entry_of(Y))) | (X = Y))),
% 0.21/0.42      inference(modus_ponens,[status(thm)],[7, 3])).
% 0.21/0.42  tff(9,plain,(
% 0.21/0.42      ![X: knowheyan, Y: knowheyan] : ((~(entry_of(X) = entry_of(Y))) | (X = Y))),
% 0.21/0.42      inference(skolemize,[status(sab)],[8])).
% 0.21/0.42  tff(10,plain,
% 0.21/0.42      (![Xk!0: knowheyan] : (inj_0(entry_of(Xk!0)) = Xk!0)),
% 0.21/0.42      inference(modus_ponens,[status(thm)],[9, 2])).
% 0.21/0.42  tff(11,plain,
% 0.21/0.42      (![Xk!0: knowheyan] : (inj_0(entry_of(Xk!0)) = Xk!0)),
% 0.21/0.42      inference(modus_ponens,[status(thm)],[10, 1])).
% 0.21/0.42  tff(12,plain,
% 0.21/0.42      ((~![Xk!0: knowheyan] : (inj_0(entry_of(Xk!0)) = Xk!0)) | (inj_0(entry_of(b)) = b)),
% 0.21/0.42      inference(quant_inst,[status(thm)],[])).
% 0.21/0.42  tff(13,plain,
% 0.21/0.42      (inj_0(entry_of(b)) = b),
% 0.21/0.42      inference(unit_resolution,[status(thm)],[12, 11])).
% 0.21/0.42  tff(14,plain,
% 0.21/0.42      (^[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)))))),
% 0.21/0.42      inference(bind,[status(th)],[])).
% 0.21/0.42  tff(15,plain,
% 0.21/0.42      (![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))))),
% 0.21/0.42      inference(quant_intro,[status(thm)],[14])).
% 0.21/0.42  tff(16,plain,
% 0.21/0.42      (^[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)))))),
% 0.21/0.42      inference(bind,[status(th)],[])).
% 0.21/0.42  tff(17,plain,
% 0.21/0.42      (![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))))),
% 0.21/0.43      inference(quant_intro,[status(thm)],[16])).
% 0.21/0.43  tff(18,plain,
% 0.21/0.43      (![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))))),
% 0.21/0.43      inference(rewrite,[status(thm)],[])).
% 0.21/0.43  tff(19,plain,
% 0.21/0.43      (^[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))))))),
% 0.21/0.43      inference(bind,[status(th)],[])).
% 0.21/0.43  tff(20,plain,
% 0.21/0.43      (![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))))),
% 0.21/0.43      inference(quant_intro,[status(thm)],[19])).
% 0.21/0.43  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/sandbox/benchmark/theBenchmark.p','collage_info')).
% 0.21/0.43  tff(22,plain,
% 0.21/0.43      (![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | ((~(X = a)) & (~(X = c)) & (~(place_of(X) = first)) & (~(place_of(X) = second))))),
% 0.21/0.43      inference(modus_ponens,[status(thm)],[21, 20])).
% 0.21/0.43  tff(23,plain,
% 0.21/0.43      (![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | ((~(X = a)) & (~(X = c)) & (~(place_of(X) = first)) & (~(place_of(X) = second))))),
% 0.21/0.43      inference(modus_ponens,[status(thm)],[22, 18])).
% 0.21/0.43  tff(24,plain,(
% 0.21/0.43      ![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | ((~(X = a)) & (~(X = c)) & (~(place_of(X) = first)) & (~(place_of(X) = second))))),
% 0.21/0.43      inference(skolemize,[status(sab)],[23])).
% 0.21/0.43  tff(25,plain,
% 0.21/0.43      (![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | (~((X = a) | (X = c) | (place_of(X) = first) | (place_of(X) = second))))),
% 0.21/0.43      inference(modus_ponens,[status(thm)],[24, 17])).
% 0.21/0.43  tff(26,plain,
% 0.21/0.43      (![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | (~((X = a) | (X = c) | (place_of(X) = first) | (place_of(X) = second))))),
% 0.21/0.43      inference(modus_ponens,[status(thm)],[25, 15])).
% 0.21/0.43  tff(27,plain,
% 0.21/0.43      (((~![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)))),
% 0.21/0.43      inference(rewrite,[status(thm)],[])).
% 0.21/0.43  tff(28,plain,
% 0.21/0.43      (((~(entry_of(a) = collage_painting)) | $false) <=> (~(entry_of(a) = collage_painting))),
% 0.21/0.43      inference(rewrite,[status(thm)],[])).
% 0.21/0.43  tff(29,plain,
% 0.21/0.43      ((~$true) <=> $false),
% 0.21/0.43      inference(rewrite,[status(thm)],[])).
% 0.21/0.43  tff(30,plain,
% 0.21/0.43      (($true | (a = c) | (place_of(a) = first) | (place_of(a) = second)) <=> $true),
% 0.21/0.43      inference(rewrite,[status(thm)],[])).
% 0.21/0.43  tff(31,plain,
% 0.21/0.43      ((a = a) <=> $true),
% 0.21/0.43      inference(rewrite,[status(thm)],[])).
% 0.21/0.43  tff(32,plain,
% 0.21/0.43      (((a = a) | (a = c) | (place_of(a) = first) | (place_of(a) = second)) <=> ($true | (a = c) | (place_of(a) = first) | (place_of(a) = second))),
% 0.21/0.43      inference(monotonicity,[status(thm)],[31])).
% 0.21/0.43  tff(33,plain,
% 0.21/0.43      (((a = a) | (a = c) | (place_of(a) = first) | (place_of(a) = second)) <=> $true),
% 0.21/0.43      inference(transitivity,[status(thm)],[32, 30])).
% 0.21/0.43  tff(34,plain,
% 0.21/0.43      ((~((a = a) | (a = c) | (place_of(a) = first) | (place_of(a) = second))) <=> (~$true)),
% 0.21/0.43      inference(monotonicity,[status(thm)],[33])).
% 0.21/0.43  tff(35,plain,
% 0.21/0.43      ((~((a = a) | (a = c) | (place_of(a) = first) | (place_of(a) = second))) <=> $false),
% 0.21/0.43      inference(transitivity,[status(thm)],[34, 29])).
% 0.21/0.43  tff(36,plain,
% 0.21/0.43      (((~(entry_of(a) = collage_painting)) | (~((a = a) | (a = c) | (place_of(a) = first) | (place_of(a) = second)))) <=> ((~(entry_of(a) = collage_painting)) | $false)),
% 0.21/0.43      inference(monotonicity,[status(thm)],[35])).
% 0.21/0.43  tff(37,plain,
% 0.21/0.43      (((~(entry_of(a) = collage_painting)) | (~((a = a) | (a = c) | (place_of(a) = first) | (place_of(a) = second)))) <=> (~(entry_of(a) = collage_painting))),
% 0.21/0.43      inference(transitivity,[status(thm)],[36, 28])).
% 0.21/0.43  tff(38,plain,
% 0.21/0.43      (((~![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)))),
% 0.21/0.43      inference(monotonicity,[status(thm)],[37])).
% 0.21/0.43  tff(39,plain,
% 0.21/0.43      (((~![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)))),
% 0.21/0.43      inference(transitivity,[status(thm)],[38, 27])).
% 0.21/0.43  tff(40,plain,
% 0.21/0.43      ((~![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))))),
% 0.21/0.43      inference(quant_inst,[status(thm)],[])).
% 0.21/0.43  tff(41,plain,
% 0.21/0.43      ((~![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | (~((X = a) | (X = c) | (place_of(X) = first) | (place_of(X) = second))))) | (~(entry_of(a) = collage_painting))),
% 0.21/0.43      inference(modus_ponens,[status(thm)],[40, 39])).
% 0.21/0.43  tff(42,plain,
% 0.21/0.43      (~(entry_of(a) = collage_painting)),
% 0.21/0.43      inference(unit_resolution,[status(thm)],[41, 26])).
% 0.21/0.43  tff(43,plain,
% 0.21/0.43      (^[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)))))),
% 0.21/0.43      inference(bind,[status(th)],[])).
% 0.21/0.43  tff(44,plain,
% 0.21/0.43      (![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))))),
% 0.21/0.43      inference(quant_intro,[status(thm)],[43])).
% 0.21/0.43  tff(45,plain,
% 0.21/0.43      (^[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)))))),
% 0.21/0.43      inference(bind,[status(th)],[])).
% 0.21/0.43  tff(46,plain,
% 0.21/0.43      (![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))))),
% 0.21/0.43      inference(quant_intro,[status(thm)],[45])).
% 0.21/0.43  tff(47,plain,
% 0.21/0.43      (![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))))),
% 0.21/0.43      inference(rewrite,[status(thm)],[])).
% 0.21/0.43  tff(48,plain,
% 0.21/0.43      (^[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)))))),
% 0.21/0.43      inference(bind,[status(th)],[])).
% 0.21/0.43  tff(49,plain,
% 0.21/0.43      (![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))))),
% 0.21/0.43      inference(quant_intro,[status(thm)],[48])).
% 0.21/0.43  tff(50,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')).
% 0.21/0.43  tff(51,plain,
% 0.21/0.43      (![X: knowheyan] : ((entry_of(X) = laser_etching) => ((~(X = a)) & (~(place_of(X) = second))))),
% 0.21/0.43      inference(and_elim,[status(thm)],[50])).
% 0.21/0.43  tff(52,plain,
% 0.21/0.43      (![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | ((~(X = a)) & (~(place_of(X) = second))))),
% 0.21/0.43      inference(modus_ponens,[status(thm)],[51, 49])).
% 0.21/0.43  tff(53,plain,
% 0.21/0.43      (![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | ((~(X = a)) & (~(place_of(X) = second))))),
% 0.21/0.43      inference(modus_ponens,[status(thm)],[52, 47])).
% 0.21/0.43  tff(54,plain,(
% 0.21/0.43      ![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | ((~(X = a)) & (~(place_of(X) = second))))),
% 0.21/0.43      inference(skolemize,[status(sab)],[53])).
% 0.21/0.43  tff(55,plain,
% 0.21/0.43      (![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~((X = a) | (place_of(X) = second))))),
% 0.21/0.43      inference(modus_ponens,[status(thm)],[54, 46])).
% 0.21/0.43  tff(56,plain,
% 0.21/0.43      (![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~((X = a) | (place_of(X) = second))))),
% 0.21/0.43      inference(modus_ponens,[status(thm)],[55, 44])).
% 0.21/0.43  tff(57,plain,
% 0.21/0.43      (((~![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)))),
% 0.21/0.43      inference(rewrite,[status(thm)],[])).
% 0.21/0.43  tff(58,plain,
% 0.21/0.43      (((~(entry_of(a) = laser_etching)) | $false) <=> (~(entry_of(a) = laser_etching))),
% 0.21/0.43      inference(rewrite,[status(thm)],[])).
% 0.21/0.43  tff(59,plain,
% 0.21/0.43      (($true | (place_of(a) = second)) <=> $true),
% 0.21/0.43      inference(rewrite,[status(thm)],[])).
% 0.21/0.43  tff(60,plain,
% 0.21/0.43      (((a = a) | (place_of(a) = second)) <=> ($true | (place_of(a) = second))),
% 0.21/0.43      inference(monotonicity,[status(thm)],[31])).
% 0.21/0.43  tff(61,plain,
% 0.21/0.43      (((a = a) | (place_of(a) = second)) <=> $true),
% 0.21/0.43      inference(transitivity,[status(thm)],[60, 59])).
% 0.21/0.43  tff(62,plain,
% 0.21/0.43      ((~((a = a) | (place_of(a) = second))) <=> (~$true)),
% 0.21/0.43      inference(monotonicity,[status(thm)],[61])).
% 0.21/0.43  tff(63,plain,
% 0.21/0.43      ((~((a = a) | (place_of(a) = second))) <=> $false),
% 0.21/0.43      inference(transitivity,[status(thm)],[62, 29])).
% 0.21/0.43  tff(64,plain,
% 0.21/0.43      (((~(entry_of(a) = laser_etching)) | (~((a = a) | (place_of(a) = second)))) <=> ((~(entry_of(a) = laser_etching)) | $false)),
% 0.21/0.43      inference(monotonicity,[status(thm)],[63])).
% 0.21/0.43  tff(65,plain,
% 0.21/0.43      (((~(entry_of(a) = laser_etching)) | (~((a = a) | (place_of(a) = second)))) <=> (~(entry_of(a) = laser_etching))),
% 0.21/0.43      inference(transitivity,[status(thm)],[64, 58])).
% 0.21/0.43  tff(66,plain,
% 0.21/0.43      (((~![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)))),
% 0.21/0.43      inference(monotonicity,[status(thm)],[65])).
% 0.21/0.43  tff(67,plain,
% 0.21/0.43      (((~![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)))),
% 0.21/0.44      inference(transitivity,[status(thm)],[66, 57])).
% 0.21/0.44  tff(68,plain,
% 0.21/0.44      ((~![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~((X = a) | (place_of(X) = second))))) | ((~(entry_of(a) = laser_etching)) | (~((a = a) | (place_of(a) = second))))),
% 0.21/0.44      inference(quant_inst,[status(thm)],[])).
% 0.21/0.44  tff(69,plain,
% 0.21/0.44      ((~![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~((X = a) | (place_of(X) = second))))) | (~(entry_of(a) = laser_etching))),
% 0.21/0.44      inference(modus_ponens,[status(thm)],[68, 67])).
% 0.21/0.44  tff(70,plain,
% 0.21/0.44      (~(entry_of(a) = laser_etching)),
% 0.21/0.44      inference(unit_resolution,[status(thm)],[69, 56])).
% 0.21/0.44  tff(71,plain,
% 0.21/0.44      ((~(entry_of(a) = holography)) <=> (~(entry_of(a) = holography))),
% 0.21/0.44      inference(rewrite,[status(thm)],[])).
% 0.21/0.44  tff(72,axiom,((~(place_of(a) = first)) & (~(entry_of(a) = holography))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','a_info')).
% 0.21/0.44  tff(73,plain,
% 0.21/0.44      (~(entry_of(a) = holography)),
% 0.21/0.44      inference(and_elim,[status(thm)],[72])).
% 0.21/0.44  tff(74,plain,
% 0.21/0.44      (~(entry_of(a) = holography)),
% 0.21/0.44      inference(modus_ponens,[status(thm)],[73, 71])).
% 0.21/0.44  tff(75,plain,
% 0.21/0.44      (![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))),
% 0.21/0.44      inference(rewrite,[status(thm)],[])).
% 0.21/0.44  tff(76,plain,
% 0.21/0.44      (^[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))))),
% 0.21/0.44      inference(bind,[status(th)],[])).
% 0.21/0.44  tff(77,plain,
% 0.21/0.44      (![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))),
% 0.21/0.44      inference(quant_intro,[status(thm)],[76])).
% 0.21/0.44  tff(78,axiom,(![X: entry] : ((((X = collage_painting) | (X = holography)) | (X = laser_etching)) | (X = reconstituted_materials_sculpture))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','only_entries')).
% 0.21/0.44  tff(79,plain,
% 0.21/0.44      (![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))),
% 0.21/0.44      inference(modus_ponens,[status(thm)],[78, 77])).
% 0.21/0.44  tff(80,plain,
% 0.21/0.44      (![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))),
% 0.21/0.44      inference(modus_ponens,[status(thm)],[79, 75])).
% 0.21/0.44  tff(81,plain,(
% 0.21/0.44      ![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))),
% 0.21/0.44      inference(skolemize,[status(sab)],[80])).
% 0.21/0.44  tff(82,plain,
% 0.21/0.44      (((~![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))) | ((entry_of(a) = holography) | (entry_of(a) = laser_etching) | (entry_of(a) = collage_painting) | (entry_of(a) = reconstituted_materials_sculpture))) <=> ((~![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))) | (entry_of(a) = holography) | (entry_of(a) = laser_etching) | (entry_of(a) = collage_painting) | (entry_of(a) = reconstituted_materials_sculpture))),
% 0.21/0.44      inference(rewrite,[status(thm)],[])).
% 0.21/0.44  tff(83,plain,
% 0.21/0.44      (((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) = laser_etching) | (entry_of(a) = collage_painting) | (entry_of(a) = reconstituted_materials_sculpture))),
% 0.21/0.44      inference(rewrite,[status(thm)],[])).
% 0.21/0.44  tff(84,plain,
% 0.21/0.44      (((~![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) = laser_etching) | (entry_of(a) = collage_painting) | (entry_of(a) = reconstituted_materials_sculpture)))),
% 0.21/0.44      inference(monotonicity,[status(thm)],[83])).
% 0.21/0.44  tff(85,plain,
% 0.21/0.44      (((~![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) = laser_etching) | (entry_of(a) = collage_painting) | (entry_of(a) = reconstituted_materials_sculpture))),
% 0.21/0.44      inference(transitivity,[status(thm)],[84, 82])).
% 0.21/0.44  tff(86,plain,
% 0.21/0.44      ((~![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))),
% 0.21/0.44      inference(quant_inst,[status(thm)],[])).
% 0.21/0.44  tff(87,plain,
% 0.21/0.44      ((~![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))) | (entry_of(a) = holography) | (entry_of(a) = laser_etching) | (entry_of(a) = collage_painting) | (entry_of(a) = reconstituted_materials_sculpture)),
% 0.21/0.44      inference(modus_ponens,[status(thm)],[86, 85])).
% 0.21/0.44  tff(88,plain,
% 0.21/0.44      (entry_of(a) = reconstituted_materials_sculpture),
% 0.21/0.44      inference(unit_resolution,[status(thm)],[87, 81, 74, 70, 42])).
% 0.21/0.44  tff(89,plain,
% 0.21/0.44      (reconstituted_materials_sculpture = entry_of(a)),
% 0.21/0.44      inference(symmetry,[status(thm)],[88])).
% 0.21/0.44  tff(90,assumption,(entry_of(b) = reconstituted_materials_sculpture), introduced(assumption)).
% 0.21/0.44  tff(91,plain,
% 0.21/0.44      (entry_of(b) = entry_of(a)),
% 0.21/0.44      inference(transitivity,[status(thm)],[90, 89])).
% 0.21/0.44  tff(92,plain,
% 0.21/0.44      (inj_0(entry_of(b)) = inj_0(entry_of(a))),
% 0.21/0.44      inference(monotonicity,[status(thm)],[91])).
% 0.21/0.44  tff(93,plain,
% 0.21/0.44      (inj_0(entry_of(a)) = inj_0(entry_of(b))),
% 0.21/0.44      inference(symmetry,[status(thm)],[92])).
% 0.21/0.44  tff(94,plain,
% 0.21/0.44      ((~![Xk!0: knowheyan] : (inj_0(entry_of(Xk!0)) = Xk!0)) | (inj_0(entry_of(a)) = a)),
% 0.21/0.44      inference(quant_inst,[status(thm)],[])).
% 0.21/0.44  tff(95,plain,
% 0.21/0.44      (inj_0(entry_of(a)) = a),
% 0.21/0.44      inference(unit_resolution,[status(thm)],[94, 11])).
% 0.21/0.44  tff(96,plain,
% 0.21/0.44      (a = inj_0(entry_of(a))),
% 0.21/0.44      inference(symmetry,[status(thm)],[95])).
% 0.21/0.44  tff(97,plain,
% 0.21/0.44      (a = b),
% 0.21/0.44      inference(transitivity,[status(thm)],[96, 93, 13])).
% 0.21/0.44  tff(98,plain,
% 0.21/0.44      ((~(a = b)) <=> (~(a = b))),
% 0.21/0.44      inference(rewrite,[status(thm)],[])).
% 0.21/0.44  tff(99,axiom,(~(a = b)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','a_not_b')).
% 0.21/0.44  tff(100,plain,
% 0.21/0.44      (~(a = b)),
% 0.21/0.44      inference(modus_ponens,[status(thm)],[99, 98])).
% 0.21/0.44  tff(101,plain,
% 0.21/0.44      ($false),
% 0.21/0.44      inference(unit_resolution,[status(thm)],[100, 97])).
% 0.21/0.44  tff(102,plain,(~(entry_of(b) = reconstituted_materials_sculpture)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.44  tff(103,plain,
% 0.21/0.44      ((~![Xk!0: knowheyan] : (inj_0(entry_of(Xk!0)) = Xk!0)) | (inj_0(entry_of(c)) = c)),
% 0.21/0.44      inference(quant_inst,[status(thm)],[])).
% 0.21/0.44  tff(104,plain,
% 0.21/0.44      (inj_0(entry_of(c)) = c),
% 0.21/0.44      inference(unit_resolution,[status(thm)],[103, 11])).
% 0.21/0.44  tff(105,assumption,(entry_of(c) = laser_etching), introduced(assumption)).
% 0.21/0.44  tff(106,plain,
% 0.21/0.44      (^[X: knowheyan] : refl(((~(entry_of(X) = laser_etching)) | (~(place_of(X) = fourth))) <=> ((~(entry_of(X) = laser_etching)) | (~(place_of(X) = fourth))))),
% 0.21/0.44      inference(bind,[status(th)],[])).
% 0.21/0.44  tff(107,plain,
% 0.21/0.44      (![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~(place_of(X) = fourth))) <=> ![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~(place_of(X) = fourth)))),
% 0.21/0.44      inference(quant_intro,[status(thm)],[106])).
% 0.21/0.44  tff(108,plain,
% 0.21/0.44      (![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~(place_of(X) = fourth))) <=> ![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~(place_of(X) = fourth)))),
% 0.21/0.44      inference(rewrite,[status(thm)],[])).
% 0.21/0.44  tff(109,plain,
% 0.21/0.44      (^[X: knowheyan] : rewrite(((entry_of(X) = laser_etching) => (~(place_of(X) = fourth))) <=> ((~(entry_of(X) = laser_etching)) | (~(place_of(X) = fourth))))),
% 0.21/0.44      inference(bind,[status(th)],[])).
% 0.21/0.44  tff(110,plain,
% 0.21/0.44      (![X: knowheyan] : ((entry_of(X) = laser_etching) => (~(place_of(X) = fourth))) <=> ![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~(place_of(X) = fourth)))),
% 0.21/0.44      inference(quant_intro,[status(thm)],[109])).
% 0.21/0.44  tff(111,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')).
% 0.21/0.44  tff(112,plain,
% 0.21/0.44      (![X: knowheyan] : ((entry_of(X) = laser_etching) => (~(place_of(X) = fourth)))),
% 0.21/0.44      inference(and_elim,[status(thm)],[111])).
% 0.21/0.44  tff(113,plain,
% 0.21/0.44      (![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~(place_of(X) = fourth)))),
% 0.21/0.44      inference(modus_ponens,[status(thm)],[112, 110])).
% 0.21/0.44  tff(114,plain,
% 0.21/0.44      (![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~(place_of(X) = fourth)))),
% 0.21/0.44      inference(modus_ponens,[status(thm)],[113, 108])).
% 0.21/0.44  tff(115,plain,(
% 0.21/0.44      ![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~(place_of(X) = fourth)))),
% 0.21/0.44      inference(skolemize,[status(sab)],[114])).
% 0.21/0.44  tff(116,plain,
% 0.21/0.44      (![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~(place_of(X) = fourth)))),
% 0.21/0.44      inference(modus_ponens,[status(thm)],[115, 107])).
% 0.21/0.44  tff(117,plain,
% 0.21/0.44      (((~![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~(place_of(X) = fourth)))) | ((~(entry_of(c) = laser_etching)) | (~(place_of(c) = fourth)))) <=> ((~![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~(place_of(X) = fourth)))) | (~(entry_of(c) = laser_etching)) | (~(place_of(c) = fourth)))),
% 0.21/0.44      inference(rewrite,[status(thm)],[])).
% 0.21/0.44  tff(118,plain,
% 0.21/0.44      ((~![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~(place_of(X) = fourth)))) | ((~(entry_of(c) = laser_etching)) | (~(place_of(c) = fourth)))),
% 0.21/0.44      inference(quant_inst,[status(thm)],[])).
% 0.21/0.44  tff(119,plain,
% 0.21/0.44      ((~![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~(place_of(X) = fourth)))) | (~(entry_of(c) = laser_etching)) | (~(place_of(c) = fourth))),
% 0.21/0.44      inference(modus_ponens,[status(thm)],[118, 117])).
% 0.21/0.44  tff(120,plain,
% 0.21/0.44      ((~(entry_of(c) = laser_etching)) | (~(place_of(c) = fourth))),
% 0.21/0.44      inference(unit_resolution,[status(thm)],[119, 116])).
% 0.21/0.44  tff(121,plain,
% 0.21/0.44      (~(place_of(c) = fourth)),
% 0.21/0.44      inference(unit_resolution,[status(thm)],[120, 105])).
% 0.21/0.44  tff(122,plain,
% 0.21/0.44      (((~![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~((X = a) | (place_of(X) = second))))) | ((~(entry_of(c) = laser_etching)) | (~((c = a) | (place_of(c) = second))))) <=> ((~![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~((X = a) | (place_of(X) = second))))) | (~(entry_of(c) = laser_etching)) | (~((c = a) | (place_of(c) = second))))),
% 0.21/0.44      inference(rewrite,[status(thm)],[])).
% 0.21/0.44  tff(123,plain,
% 0.21/0.44      ((~![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~((X = a) | (place_of(X) = second))))) | ((~(entry_of(c) = laser_etching)) | (~((c = a) | (place_of(c) = second))))),
% 0.21/0.44      inference(quant_inst,[status(thm)],[])).
% 0.21/0.44  tff(124,plain,
% 0.21/0.44      ((~![X: knowheyan] : ((~(entry_of(X) = laser_etching)) | (~((X = a) | (place_of(X) = second))))) | (~(entry_of(c) = laser_etching)) | (~((c = a) | (place_of(c) = second)))),
% 0.21/0.45      inference(modus_ponens,[status(thm)],[123, 122])).
% 0.21/0.45  tff(125,plain,
% 0.21/0.45      ((~(entry_of(c) = laser_etching)) | (~((c = a) | (place_of(c) = second)))),
% 0.21/0.45      inference(unit_resolution,[status(thm)],[124, 56])).
% 0.21/0.45  tff(126,plain,
% 0.21/0.45      (~((c = a) | (place_of(c) = second))),
% 0.21/0.45      inference(unit_resolution,[status(thm)],[125, 105])).
% 0.21/0.45  tff(127,plain,
% 0.21/0.45      (((c = a) | (place_of(c) = second)) | (~(place_of(c) = second))),
% 0.21/0.45      inference(tautology,[status(thm)],[])).
% 0.21/0.45  tff(128,plain,
% 0.21/0.45      (~(place_of(c) = second)),
% 0.21/0.45      inference(unit_resolution,[status(thm)],[127, 126])).
% 0.21/0.45  tff(129,plain,
% 0.21/0.45      (![Xk!0: knowheyan] : (inj_1(place_of(Xk!0)) = Xk!0) <=> ![Xk!0: knowheyan] : (inj_1(place_of(Xk!0)) = Xk!0)),
% 0.21/0.45      inference(rewrite,[status(thm)],[])).
% 0.21/0.45  tff(130,plain,
% 0.21/0.45      (![X: knowheyan, Y: knowheyan] : ((X = Y) | (~(place_of(X) = place_of(Y)))) <=> ![Xk!0: knowheyan] : (inj_1(place_of(Xk!0)) = Xk!0)),
% 0.21/0.45      inference(rewrite,[status(thm)],[])).
% 0.21/0.45  tff(131,plain,
% 0.21/0.45      (![X: knowheyan, Y: knowheyan] : ((X = Y) | (~(place_of(X) = place_of(Y)))) <=> ![X: knowheyan, Y: knowheyan] : ((X = Y) | (~(place_of(X) = place_of(Y))))),
% 0.21/0.45      inference(rewrite,[status(thm)],[])).
% 0.21/0.45  tff(132,plain,
% 0.21/0.45      (^[X: knowheyan, Y: knowheyan] : rewrite(((~(X = Y)) => (~(place_of(X) = place_of(Y)))) <=> ((X = Y) | (~(place_of(X) = place_of(Y)))))),
% 0.21/0.45      inference(bind,[status(th)],[])).
% 0.21/0.45  tff(133,plain,
% 0.21/0.45      (![X: knowheyan, Y: knowheyan] : ((~(X = Y)) => (~(place_of(X) = place_of(Y)))) <=> ![X: knowheyan, Y: knowheyan] : ((X = Y) | (~(place_of(X) = place_of(Y))))),
% 0.21/0.45      inference(quant_intro,[status(thm)],[132])).
% 0.21/0.45  tff(134,axiom,(![X: knowheyan, Y: knowheyan] : ((~(X = Y)) => (~(place_of(X) = place_of(Y))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','unique_places')).
% 0.21/0.45  tff(135,plain,
% 0.21/0.45      (![X: knowheyan, Y: knowheyan] : ((X = Y) | (~(place_of(X) = place_of(Y))))),
% 0.21/0.45      inference(modus_ponens,[status(thm)],[134, 133])).
% 0.21/0.45  tff(136,plain,
% 0.21/0.45      (![X: knowheyan, Y: knowheyan] : ((X = Y) | (~(place_of(X) = place_of(Y))))),
% 0.21/0.45      inference(modus_ponens,[status(thm)],[135, 131])).
% 0.21/0.45  tff(137,plain,(
% 0.21/0.45      ![X: knowheyan, Y: knowheyan] : ((X = Y) | (~(place_of(X) = place_of(Y))))),
% 0.21/0.45      inference(skolemize,[status(sab)],[136])).
% 0.21/0.45  tff(138,plain,
% 0.21/0.45      (![Xk!0: knowheyan] : (inj_1(place_of(Xk!0)) = Xk!0)),
% 0.21/0.45      inference(modus_ponens,[status(thm)],[137, 130])).
% 0.21/0.45  tff(139,plain,
% 0.21/0.45      (![Xk!0: knowheyan] : (inj_1(place_of(Xk!0)) = Xk!0)),
% 0.21/0.45      inference(modus_ponens,[status(thm)],[138, 129])).
% 0.21/0.45  tff(140,plain,
% 0.21/0.45      ((~![Xk!0: knowheyan] : (inj_1(place_of(Xk!0)) = Xk!0)) | (inj_1(place_of(d)) = d)),
% 0.21/0.45      inference(quant_inst,[status(thm)],[])).
% 0.21/0.45  tff(141,plain,
% 0.21/0.45      (inj_1(place_of(d)) = d),
% 0.21/0.45      inference(unit_resolution,[status(thm)],[140, 139])).
% 0.21/0.45  tff(142,assumption,(place_of(c) = first), introduced(assumption)).
% 0.21/0.45  tff(143,plain,
% 0.21/0.45      (first = place_of(c)),
% 0.21/0.45      inference(symmetry,[status(thm)],[142])).
% 0.21/0.45  tff(144,plain,
% 0.21/0.45      ((~![Xk!0: knowheyan] : (inj_1(place_of(Xk!0)) = Xk!0)) | (inj_1(place_of(c)) = c)),
% 0.21/0.45      inference(quant_inst,[status(thm)],[])).
% 0.21/0.45  tff(145,plain,
% 0.21/0.45      (inj_1(place_of(c)) = c),
% 0.21/0.45      inference(unit_resolution,[status(thm)],[144, 139])).
% 0.21/0.45  tff(146,assumption,(place_of(b) = first), introduced(assumption)).
% 0.21/0.45  tff(147,plain,
% 0.21/0.45      (place_of(b) = place_of(c)),
% 0.21/0.45      inference(transitivity,[status(thm)],[146, 143])).
% 0.21/0.45  tff(148,plain,
% 0.21/0.45      (inj_1(place_of(b)) = inj_1(place_of(c))),
% 0.21/0.45      inference(monotonicity,[status(thm)],[147])).
% 0.21/0.45  tff(149,plain,
% 0.21/0.45      ((~![Xk!0: knowheyan] : (inj_1(place_of(Xk!0)) = Xk!0)) | (inj_1(place_of(b)) = b)),
% 0.21/0.45      inference(quant_inst,[status(thm)],[])).
% 0.21/0.45  tff(150,plain,
% 0.21/0.45      (inj_1(place_of(b)) = b),
% 0.21/0.45      inference(unit_resolution,[status(thm)],[149, 139])).
% 0.21/0.45  tff(151,plain,
% 0.21/0.45      (b = inj_1(place_of(b))),
% 0.21/0.45      inference(symmetry,[status(thm)],[150])).
% 0.21/0.45  tff(152,plain,
% 0.21/0.45      (b = c),
% 0.21/0.45      inference(transitivity,[status(thm)],[151, 148, 145])).
% 0.21/0.45  tff(153,plain,
% 0.21/0.45      ((~(b = c)) <=> (~(b = c))),
% 0.21/0.45      inference(rewrite,[status(thm)],[])).
% 0.21/0.45  tff(154,axiom,(~(b = c)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','b_not_c')).
% 0.21/0.45  tff(155,plain,
% 0.21/0.45      (~(b = c)),
% 0.21/0.45      inference(modus_ponens,[status(thm)],[154, 153])).
% 0.21/0.45  tff(156,plain,
% 0.21/0.45      ($false),
% 0.21/0.45      inference(unit_resolution,[status(thm)],[155, 152])).
% 0.21/0.45  tff(157,plain,((~(place_of(b) = first)) | (~(place_of(c) = first))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.45  tff(158,plain,
% 0.21/0.45      (~(place_of(b) = first)),
% 0.21/0.45      inference(unit_resolution,[status(thm)],[157, 142])).
% 0.21/0.45  tff(159,plain,
% 0.21/0.45      ((~(place_of(b) = third)) <=> (~(place_of(b) = third))),
% 0.21/0.45      inference(rewrite,[status(thm)],[])).
% 0.21/0.45  tff(160,axiom,((~(place_of(b) = third)) & (~(place_of(c) = third))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','third_info')).
% 0.21/0.45  tff(161,plain,
% 0.21/0.45      (~(place_of(b) = third)),
% 0.21/0.45      inference(and_elim,[status(thm)],[160])).
% 0.21/0.45  tff(162,plain,
% 0.21/0.45      (~(place_of(b) = third)),
% 0.21/0.45      inference(modus_ponens,[status(thm)],[161, 159])).
% 0.21/0.45  tff(163,plain,
% 0.21/0.45      ((~(place_of(b) = fourth)) <=> (~(place_of(b) = fourth))),
% 0.21/0.45      inference(rewrite,[status(thm)],[])).
% 0.21/0.45  tff(164,plain,
% 0.21/0.45      (~(place_of(b) = fourth)),
% 0.21/0.45      inference(and_elim,[status(thm)],[111])).
% 0.21/0.45  tff(165,plain,
% 0.21/0.45      (~(place_of(b) = fourth)),
% 0.21/0.45      inference(modus_ponens,[status(thm)],[164, 163])).
% 0.21/0.45  tff(166,plain,
% 0.21/0.45      (![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first)) <=> ![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))),
% 0.21/0.45      inference(rewrite,[status(thm)],[])).
% 0.21/0.45  tff(167,plain,
% 0.21/0.45      (^[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))))),
% 0.21/0.45      inference(bind,[status(th)],[])).
% 0.21/0.45  tff(168,plain,
% 0.21/0.45      (![X: place] : ((((X = first) | (X = second)) | (X = third)) | (X = fourth)) <=> ![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))),
% 0.21/0.45      inference(quant_intro,[status(thm)],[167])).
% 0.21/0.45  tff(169,axiom,(![X: place] : ((((X = first) | (X = second)) | (X = third)) | (X = fourth))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','only_places')).
% 0.21/0.45  tff(170,plain,
% 0.21/0.45      (![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))),
% 0.21/0.45      inference(modus_ponens,[status(thm)],[169, 168])).
% 0.21/0.45  tff(171,plain,
% 0.21/0.45      (![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))),
% 0.21/0.45      inference(modus_ponens,[status(thm)],[170, 166])).
% 0.21/0.45  tff(172,plain,(
% 0.21/0.45      ![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))),
% 0.21/0.45      inference(skolemize,[status(sab)],[171])).
% 0.21/0.45  tff(173,plain,
% 0.21/0.45      (((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | ((place_of(b) = fourth) | (place_of(b) = third) | (place_of(b) = second) | (place_of(b) = first))) <=> ((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | (place_of(b) = fourth) | (place_of(b) = third) | (place_of(b) = second) | (place_of(b) = first))),
% 0.21/0.45      inference(rewrite,[status(thm)],[])).
% 0.21/0.45  tff(174,plain,
% 0.21/0.45      ((~![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))),
% 0.21/0.45      inference(quant_inst,[status(thm)],[])).
% 0.21/0.45  tff(175,plain,
% 0.21/0.45      ((~![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)),
% 0.21/0.45      inference(modus_ponens,[status(thm)],[174, 173])).
% 0.21/0.45  tff(176,plain,
% 0.21/0.45      ((place_of(b) = second) | (place_of(b) = first)),
% 0.21/0.45      inference(unit_resolution,[status(thm)],[175, 172, 165, 162])).
% 0.21/0.45  tff(177,plain,
% 0.21/0.45      (place_of(b) = second),
% 0.21/0.45      inference(unit_resolution,[status(thm)],[176, 158])).
% 0.21/0.45  tff(178,assumption,(place_of(b) = second), introduced(assumption)).
% 0.21/0.45  tff(179,plain,
% 0.21/0.45      (second = place_of(b)),
% 0.21/0.45      inference(symmetry,[status(thm)],[178])).
% 0.21/0.45  tff(180,assumption,(place_of(a) = second), introduced(assumption)).
% 0.21/0.45  tff(181,plain,
% 0.21/0.45      (place_of(a) = place_of(b)),
% 0.21/0.45      inference(transitivity,[status(thm)],[180, 179])).
% 0.21/0.45  tff(182,plain,
% 0.21/0.45      (inj_1(place_of(a)) = inj_1(place_of(b))),
% 0.21/0.45      inference(monotonicity,[status(thm)],[181])).
% 0.21/0.45  tff(183,plain,
% 0.21/0.45      ((~![Xk!0: knowheyan] : (inj_1(place_of(Xk!0)) = Xk!0)) | (inj_1(place_of(a)) = a)),
% 0.21/0.45      inference(quant_inst,[status(thm)],[])).
% 0.21/0.45  tff(184,plain,
% 0.21/0.45      (inj_1(place_of(a)) = a),
% 0.21/0.45      inference(unit_resolution,[status(thm)],[183, 139])).
% 0.21/0.45  tff(185,plain,
% 0.21/0.45      (a = inj_1(place_of(a))),
% 0.21/0.45      inference(symmetry,[status(thm)],[184])).
% 0.21/0.45  tff(186,plain,
% 0.21/0.45      (a = b),
% 0.21/0.45      inference(transitivity,[status(thm)],[185, 182, 150])).
% 0.21/0.45  tff(187,plain,
% 0.21/0.45      ($false),
% 0.21/0.45      inference(unit_resolution,[status(thm)],[100, 186])).
% 0.21/0.45  tff(188,plain,((~(place_of(a) = second)) | (~(place_of(b) = second))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.45  tff(189,plain,
% 0.21/0.45      (~(place_of(a) = second)),
% 0.21/0.45      inference(unit_resolution,[status(thm)],[188, 177])).
% 0.21/0.45  tff(190,plain,
% 0.21/0.45      (((entry_of(a) = holography) | (entry_of(a) = reconstituted_materials_sculpture)) | (~(entry_of(a) = reconstituted_materials_sculpture))),
% 0.21/0.45      inference(tautology,[status(thm)],[])).
% 0.21/0.45  tff(191,plain,
% 0.21/0.45      ((entry_of(a) = holography) | (entry_of(a) = reconstituted_materials_sculpture)),
% 0.21/0.45      inference(unit_resolution,[status(thm)],[190, 88])).
% 0.21/0.45  tff(192,plain,
% 0.21/0.45      (^[X: knowheyan] : refl(((~(place_of(X) = fourth)) | (~((entry_of(X) = holography) | (entry_of(X) = reconstituted_materials_sculpture)))) <=> ((~(place_of(X) = fourth)) | (~((entry_of(X) = holography) | (entry_of(X) = reconstituted_materials_sculpture)))))),
% 0.21/0.45      inference(bind,[status(th)],[])).
% 0.21/0.45  tff(193,plain,
% 0.21/0.45      (![X: knowheyan] : ((~(place_of(X) = fourth)) | (~((entry_of(X) = holography) | (entry_of(X) = reconstituted_materials_sculpture)))) <=> ![X: knowheyan] : ((~(place_of(X) = fourth)) | (~((entry_of(X) = holography) | (entry_of(X) = reconstituted_materials_sculpture))))),
% 0.21/0.45      inference(quant_intro,[status(thm)],[192])).
% 0.21/0.45  tff(194,plain,
% 0.21/0.45      (^[X: knowheyan] : rewrite(((~(place_of(X) = fourth)) | ((~(entry_of(X) = reconstituted_materials_sculpture)) & (~(entry_of(X) = holography)))) <=> ((~(place_of(X) = fourth)) | (~((entry_of(X) = holography) | (entry_of(X) = reconstituted_materials_sculpture)))))),
% 0.21/0.45      inference(bind,[status(th)],[])).
% 0.21/0.45  tff(195,plain,
% 0.21/0.45      (![X: knowheyan] : ((~(place_of(X) = fourth)) | ((~(entry_of(X) = reconstituted_materials_sculpture)) & (~(entry_of(X) = holography)))) <=> ![X: knowheyan] : ((~(place_of(X) = fourth)) | (~((entry_of(X) = holography) | (entry_of(X) = reconstituted_materials_sculpture))))),
% 0.21/0.45      inference(quant_intro,[status(thm)],[194])).
% 0.21/0.45  tff(196,plain,
% 0.21/0.45      (![X: knowheyan] : ((~(place_of(X) = fourth)) | ((~(entry_of(X) = reconstituted_materials_sculpture)) & (~(entry_of(X) = holography)))) <=> ![X: knowheyan] : ((~(place_of(X) = fourth)) | ((~(entry_of(X) = reconstituted_materials_sculpture)) & (~(entry_of(X) = holography))))),
% 0.21/0.45      inference(rewrite,[status(thm)],[])).
% 0.21/0.45  tff(197,plain,
% 0.21/0.45      (^[X: knowheyan] : rewrite(((place_of(X) = fourth) => ((~(entry_of(X) = reconstituted_materials_sculpture)) & (~(entry_of(X) = holography)))) <=> ((~(place_of(X) = fourth)) | ((~(entry_of(X) = reconstituted_materials_sculpture)) & (~(entry_of(X) = holography)))))),
% 0.21/0.45      inference(bind,[status(th)],[])).
% 0.21/0.45  tff(198,plain,
% 0.21/0.45      (![X: knowheyan] : ((place_of(X) = fourth) => ((~(entry_of(X) = reconstituted_materials_sculpture)) & (~(entry_of(X) = holography)))) <=> ![X: knowheyan] : ((~(place_of(X) = fourth)) | ((~(entry_of(X) = reconstituted_materials_sculpture)) & (~(entry_of(X) = holography))))),
% 0.21/0.45      inference(quant_intro,[status(thm)],[197])).
% 0.21/0.45  tff(199,axiom,(![X: knowheyan] : ((place_of(X) = fourth) => ((~(entry_of(X) = reconstituted_materials_sculpture)) & (~(entry_of(X) = holography))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','fourth_info')).
% 0.21/0.45  tff(200,plain,
% 0.21/0.45      (![X: knowheyan] : ((~(place_of(X) = fourth)) | ((~(entry_of(X) = reconstituted_materials_sculpture)) & (~(entry_of(X) = holography))))),
% 0.21/0.45      inference(modus_ponens,[status(thm)],[199, 198])).
% 0.21/0.45  tff(201,plain,
% 0.21/0.45      (![X: knowheyan] : ((~(place_of(X) = fourth)) | ((~(entry_of(X) = reconstituted_materials_sculpture)) & (~(entry_of(X) = holography))))),
% 0.21/0.45      inference(modus_ponens,[status(thm)],[200, 196])).
% 0.21/0.45  tff(202,plain,(
% 0.21/0.45      ![X: knowheyan] : ((~(place_of(X) = fourth)) | ((~(entry_of(X) = reconstituted_materials_sculpture)) & (~(entry_of(X) = holography))))),
% 0.21/0.45      inference(skolemize,[status(sab)],[201])).
% 0.21/0.45  tff(203,plain,
% 0.21/0.45      (![X: knowheyan] : ((~(place_of(X) = fourth)) | (~((entry_of(X) = holography) | (entry_of(X) = reconstituted_materials_sculpture))))),
% 0.21/0.45      inference(modus_ponens,[status(thm)],[202, 195])).
% 0.21/0.45  tff(204,plain,
% 0.21/0.45      (![X: knowheyan] : ((~(place_of(X) = fourth)) | (~((entry_of(X) = holography) | (entry_of(X) = reconstituted_materials_sculpture))))),
% 0.21/0.45      inference(modus_ponens,[status(thm)],[203, 193])).
% 0.21/0.45  tff(205,plain,
% 0.21/0.45      (((~![X: knowheyan] : ((~(place_of(X) = fourth)) | (~((entry_of(X) = holography) | (entry_of(X) = reconstituted_materials_sculpture))))) | ((~(place_of(a) = fourth)) | (~((entry_of(a) = holography) | (entry_of(a) = reconstituted_materials_sculpture))))) <=> ((~![X: knowheyan] : ((~(place_of(X) = fourth)) | (~((entry_of(X) = holography) | (entry_of(X) = reconstituted_materials_sculpture))))) | (~(place_of(a) = fourth)) | (~((entry_of(a) = holography) | (entry_of(a) = reconstituted_materials_sculpture))))),
% 0.21/0.45      inference(rewrite,[status(thm)],[])).
% 0.21/0.45  tff(206,plain,
% 0.21/0.45      ((~![X: knowheyan] : ((~(place_of(X) = fourth)) | (~((entry_of(X) = holography) | (entry_of(X) = reconstituted_materials_sculpture))))) | ((~(place_of(a) = fourth)) | (~((entry_of(a) = holography) | (entry_of(a) = reconstituted_materials_sculpture))))),
% 0.21/0.45      inference(quant_inst,[status(thm)],[])).
% 0.21/0.45  tff(207,plain,
% 0.21/0.45      ((~![X: knowheyan] : ((~(place_of(X) = fourth)) | (~((entry_of(X) = holography) | (entry_of(X) = reconstituted_materials_sculpture))))) | (~(place_of(a) = fourth)) | (~((entry_of(a) = holography) | (entry_of(a) = reconstituted_materials_sculpture)))),
% 0.21/0.45      inference(modus_ponens,[status(thm)],[206, 205])).
% 0.21/0.45  tff(208,plain,
% 0.21/0.45      ((~(place_of(a) = fourth)) | (~((entry_of(a) = holography) | (entry_of(a) = reconstituted_materials_sculpture)))),
% 0.21/0.45      inference(unit_resolution,[status(thm)],[207, 204])).
% 0.21/0.45  tff(209,plain,
% 0.21/0.45      (~(place_of(a) = fourth)),
% 0.21/0.45      inference(unit_resolution,[status(thm)],[208, 191])).
% 0.21/0.45  tff(210,plain,
% 0.21/0.45      ((~(place_of(a) = first)) <=> (~(place_of(a) = first))),
% 0.21/0.45      inference(rewrite,[status(thm)],[])).
% 0.21/0.45  tff(211,plain,
% 0.21/0.45      (~(place_of(a) = first)),
% 0.21/0.45      inference(and_elim,[status(thm)],[72])).
% 0.21/0.45  tff(212,plain,
% 0.21/0.45      (~(place_of(a) = first)),
% 0.21/0.45      inference(modus_ponens,[status(thm)],[211, 210])).
% 0.21/0.45  tff(213,plain,
% 0.21/0.45      (((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | ((place_of(a) = first) | (place_of(a) = third) | (place_of(a) = second) | (place_of(a) = fourth))) <=> ((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | (place_of(a) = first) | (place_of(a) = third) | (place_of(a) = second) | (place_of(a) = fourth))),
% 0.21/0.45      inference(rewrite,[status(thm)],[])).
% 0.21/0.45  tff(214,plain,
% 0.21/0.45      (((place_of(a) = fourth) | (place_of(a) = third) | (place_of(a) = second) | (place_of(a) = first)) <=> ((place_of(a) = first) | (place_of(a) = third) | (place_of(a) = second) | (place_of(a) = fourth))),
% 0.21/0.45      inference(rewrite,[status(thm)],[])).
% 0.21/0.45  tff(215,plain,
% 0.21/0.45      (((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | ((place_of(a) = fourth) | (place_of(a) = third) | (place_of(a) = second) | (place_of(a) = first))) <=> ((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | ((place_of(a) = first) | (place_of(a) = third) | (place_of(a) = second) | (place_of(a) = fourth)))),
% 0.21/0.45      inference(monotonicity,[status(thm)],[214])).
% 0.21/0.45  tff(216,plain,
% 0.21/0.45      (((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | ((place_of(a) = fourth) | (place_of(a) = third) | (place_of(a) = second) | (place_of(a) = first))) <=> ((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | (place_of(a) = first) | (place_of(a) = third) | (place_of(a) = second) | (place_of(a) = fourth))),
% 0.21/0.46      inference(transitivity,[status(thm)],[215, 213])).
% 0.21/0.46  tff(217,plain,
% 0.21/0.46      ((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | ((place_of(a) = fourth) | (place_of(a) = third) | (place_of(a) = second) | (place_of(a) = first))),
% 0.21/0.46      inference(quant_inst,[status(thm)],[])).
% 0.21/0.46  tff(218,plain,
% 0.21/0.46      ((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | (place_of(a) = first) | (place_of(a) = third) | (place_of(a) = second) | (place_of(a) = fourth)),
% 0.21/0.46      inference(modus_ponens,[status(thm)],[217, 216])).
% 0.21/0.46  tff(219,plain,
% 0.21/0.46      ((place_of(a) = third) | (place_of(a) = second) | (place_of(a) = fourth)),
% 0.21/0.46      inference(unit_resolution,[status(thm)],[218, 172, 212])).
% 0.21/0.46  tff(220,plain,
% 0.21/0.46      ((place_of(a) = third) | (place_of(a) = second)),
% 0.21/0.46      inference(unit_resolution,[status(thm)],[219, 209])).
% 0.21/0.46  tff(221,plain,
% 0.21/0.46      (place_of(a) = third),
% 0.21/0.46      inference(unit_resolution,[status(thm)],[220, 189])).
% 0.21/0.46  tff(222,assumption,(place_of(a) = third), introduced(assumption)).
% 0.21/0.46  tff(223,plain,
% 0.21/0.46      (third = place_of(a)),
% 0.21/0.46      inference(symmetry,[status(thm)],[222])).
% 0.21/0.46  tff(224,assumption,(place_of(d) = third), introduced(assumption)).
% 0.21/0.46  tff(225,plain,
% 0.21/0.46      (place_of(d) = place_of(a)),
% 0.21/0.46      inference(transitivity,[status(thm)],[224, 223])).
% 0.21/0.46  tff(226,plain,
% 0.21/0.46      (inj_1(place_of(d)) = inj_1(place_of(a))),
% 0.21/0.46      inference(monotonicity,[status(thm)],[225])).
% 0.21/0.46  tff(227,plain,
% 0.21/0.46      (inj_1(place_of(a)) = inj_1(place_of(d))),
% 0.21/0.46      inference(symmetry,[status(thm)],[226])).
% 0.21/0.46  tff(228,plain,
% 0.21/0.46      (a = d),
% 0.21/0.46      inference(transitivity,[status(thm)],[185, 227, 141])).
% 0.21/0.46  tff(229,plain,
% 0.21/0.46      ((~(a = d)) <=> (~(a = d))),
% 0.21/0.46      inference(rewrite,[status(thm)],[])).
% 0.21/0.46  tff(230,axiom,(~(a = d)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','a_not_d')).
% 0.21/0.46  tff(231,plain,
% 0.21/0.46      (~(a = d)),
% 0.21/0.46      inference(modus_ponens,[status(thm)],[230, 229])).
% 0.21/0.46  tff(232,plain,
% 0.21/0.46      ($false),
% 0.21/0.46      inference(unit_resolution,[status(thm)],[231, 228])).
% 0.21/0.46  tff(233,plain,((~(place_of(d) = third)) | (~(place_of(a) = third))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.46  tff(234,plain,
% 0.21/0.46      (~(place_of(d) = third)),
% 0.21/0.46      inference(unit_resolution,[status(thm)],[233, 221])).
% 0.21/0.46  tff(235,plain,
% 0.21/0.46      ((~(~((~(place_of(a) = third)) | (~(place_of(b) = second)) | (~(place_of(c) = first)) | (~(place_of(d) = fourth))))) <=> ((~(place_of(a) = third)) | (~(place_of(b) = second)) | (~(place_of(c) = first)) | (~(place_of(d) = fourth)))),
% 0.21/0.46      inference(rewrite,[status(thm)],[])).
% 0.21/0.46  tff(236,plain,
% 0.21/0.46      (((place_of(a) = third) & (place_of(b) = second) & (place_of(c) = first) & (place_of(d) = fourth)) <=> (~((~(place_of(a) = third)) | (~(place_of(b) = second)) | (~(place_of(c) = first)) | (~(place_of(d) = fourth))))),
% 0.21/0.46      inference(rewrite,[status(thm)],[])).
% 0.21/0.46  tff(237,plain,
% 0.21/0.46      ((~((place_of(a) = third) & (place_of(b) = second) & (place_of(c) = first) & (place_of(d) = fourth))) <=> (~(~((~(place_of(a) = third)) | (~(place_of(b) = second)) | (~(place_of(c) = first)) | (~(place_of(d) = fourth)))))),
% 0.21/0.46      inference(monotonicity,[status(thm)],[236])).
% 0.21/0.46  tff(238,plain,
% 0.21/0.46      ((~((place_of(a) = third) & (place_of(b) = second) & (place_of(c) = first) & (place_of(d) = fourth))) <=> ((~(place_of(a) = third)) | (~(place_of(b) = second)) | (~(place_of(c) = first)) | (~(place_of(d) = fourth)))),
% 0.21/0.46      inference(transitivity,[status(thm)],[237, 235])).
% 0.21/0.46  tff(239,plain,
% 0.21/0.46      ((~((place_of(a) = third) & (place_of(b) = second) & (place_of(c) = first) & (place_of(d) = fourth))) <=> (~((place_of(a) = third) & (place_of(b) = second) & (place_of(c) = first) & (place_of(d) = fourth)))),
% 0.21/0.46      inference(rewrite,[status(thm)],[])).
% 0.21/0.46  tff(240,plain,
% 0.21/0.46      ((~((((place_of(a) = third) & (place_of(b) = second)) & (place_of(c) = first)) & (place_of(d) = fourth))) <=> (~((place_of(a) = third) & (place_of(b) = second) & (place_of(c) = first) & (place_of(d) = fourth)))),
% 0.21/0.46      inference(rewrite,[status(thm)],[])).
% 0.21/0.46  tff(241,axiom,(~((((place_of(a) = third) & (place_of(b) = second)) & (place_of(c) = first)) & (place_of(d) = fourth))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','places')).
% 0.21/0.46  tff(242,plain,
% 0.21/0.46      (~((place_of(a) = third) & (place_of(b) = second) & (place_of(c) = first) & (place_of(d) = fourth))),
% 0.21/0.46      inference(modus_ponens,[status(thm)],[241, 240])).
% 0.21/0.46  tff(243,plain,
% 0.21/0.46      (~((place_of(a) = third) & (place_of(b) = second) & (place_of(c) = first) & (place_of(d) = fourth))),
% 0.21/0.46      inference(modus_ponens,[status(thm)],[242, 239])).
% 0.21/0.46  tff(244,plain,
% 0.21/0.46      ((~(place_of(a) = third)) | (~(place_of(b) = second)) | (~(place_of(c) = first)) | (~(place_of(d) = fourth))),
% 0.21/0.46      inference(modus_ponens,[status(thm)],[243, 238])).
% 0.21/0.46  tff(245,plain,
% 0.21/0.46      (~(place_of(d) = fourth)),
% 0.21/0.46      inference(unit_resolution,[status(thm)],[244, 221, 142, 177])).
% 0.21/0.46  tff(246,assumption,(place_of(d) = second), introduced(assumption)).
% 0.21/0.46  tff(247,plain,
% 0.21/0.46      (place_of(d) = place_of(b)),
% 0.21/0.46      inference(transitivity,[status(thm)],[246, 179])).
% 0.21/0.46  tff(248,plain,
% 0.21/0.46      (inj_1(place_of(d)) = inj_1(place_of(b))),
% 0.21/0.46      inference(monotonicity,[status(thm)],[247])).
% 0.21/0.46  tff(249,plain,
% 0.21/0.46      (inj_1(place_of(b)) = inj_1(place_of(d))),
% 0.21/0.46      inference(symmetry,[status(thm)],[248])).
% 0.21/0.46  tff(250,plain,
% 0.21/0.46      (b = d),
% 0.21/0.46      inference(transitivity,[status(thm)],[151, 249, 141])).
% 0.21/0.46  tff(251,plain,
% 0.21/0.46      ((~(b = d)) <=> (~(b = d))),
% 0.21/0.46      inference(rewrite,[status(thm)],[])).
% 0.21/0.46  tff(252,axiom,(~(b = d)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','b_not_d')).
% 0.21/0.46  tff(253,plain,
% 0.21/0.46      (~(b = d)),
% 0.21/0.46      inference(modus_ponens,[status(thm)],[252, 251])).
% 0.21/0.46  tff(254,plain,
% 0.21/0.46      ($false),
% 0.21/0.46      inference(unit_resolution,[status(thm)],[253, 250])).
% 0.21/0.46  tff(255,plain,((~(place_of(d) = second)) | (~(place_of(b) = second))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.46  tff(256,plain,
% 0.21/0.46      (~(place_of(d) = second)),
% 0.21/0.46      inference(unit_resolution,[status(thm)],[255, 177])).
% 0.21/0.46  tff(257,plain,
% 0.21/0.46      (((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | ((place_of(d) = fourth) | (place_of(d) = second) | (place_of(d) = first) | (place_of(d) = third))) <=> ((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | (place_of(d) = fourth) | (place_of(d) = second) | (place_of(d) = first) | (place_of(d) = third))),
% 0.21/0.46      inference(rewrite,[status(thm)],[])).
% 0.21/0.46  tff(258,plain,
% 0.21/0.46      (((place_of(d) = fourth) | (place_of(d) = third) | (place_of(d) = second) | (place_of(d) = first)) <=> ((place_of(d) = fourth) | (place_of(d) = second) | (place_of(d) = first) | (place_of(d) = third))),
% 0.21/0.46      inference(rewrite,[status(thm)],[])).
% 0.21/0.46  tff(259,plain,
% 0.21/0.46      (((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | ((place_of(d) = fourth) | (place_of(d) = third) | (place_of(d) = second) | (place_of(d) = first))) <=> ((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | ((place_of(d) = fourth) | (place_of(d) = second) | (place_of(d) = first) | (place_of(d) = third)))),
% 0.21/0.46      inference(monotonicity,[status(thm)],[258])).
% 0.21/0.46  tff(260,plain,
% 0.21/0.46      (((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | ((place_of(d) = fourth) | (place_of(d) = third) | (place_of(d) = second) | (place_of(d) = first))) <=> ((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | (place_of(d) = fourth) | (place_of(d) = second) | (place_of(d) = first) | (place_of(d) = third))),
% 0.21/0.46      inference(transitivity,[status(thm)],[259, 257])).
% 0.21/0.46  tff(261,plain,
% 0.21/0.46      ((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | ((place_of(d) = fourth) | (place_of(d) = third) | (place_of(d) = second) | (place_of(d) = first))),
% 0.21/0.46      inference(quant_inst,[status(thm)],[])).
% 0.21/0.46  tff(262,plain,
% 0.21/0.46      ((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | (place_of(d) = fourth) | (place_of(d) = second) | (place_of(d) = first) | (place_of(d) = third)),
% 0.21/0.46      inference(modus_ponens,[status(thm)],[261, 260])).
% 0.21/0.46  tff(263,plain,
% 0.21/0.46      ((place_of(d) = fourth) | (place_of(d) = second) | (place_of(d) = first) | (place_of(d) = third)),
% 0.21/0.46      inference(unit_resolution,[status(thm)],[262, 172])).
% 0.21/0.46  tff(264,plain,
% 0.21/0.46      (place_of(d) = first),
% 0.21/0.46      inference(unit_resolution,[status(thm)],[263, 256, 245, 234])).
% 0.21/0.46  tff(265,plain,
% 0.21/0.46      (place_of(d) = place_of(c)),
% 0.21/0.46      inference(transitivity,[status(thm)],[264, 143])).
% 0.21/0.46  tff(266,plain,
% 0.21/0.46      (inj_1(place_of(d)) = inj_1(place_of(c))),
% 0.21/0.46      inference(monotonicity,[status(thm)],[265])).
% 0.21/0.46  tff(267,plain,
% 0.21/0.46      (inj_1(place_of(c)) = inj_1(place_of(d))),
% 0.21/0.46      inference(symmetry,[status(thm)],[266])).
% 0.21/0.46  tff(268,plain,
% 0.21/0.46      (c = inj_1(place_of(c))),
% 0.21/0.46      inference(symmetry,[status(thm)],[145])).
% 0.21/0.46  tff(269,plain,
% 0.21/0.46      (c = d),
% 0.21/0.46      inference(transitivity,[status(thm)],[268, 267, 141])).
% 0.21/0.46  tff(270,plain,
% 0.21/0.46      ((~(c = d)) <=> (~(c = d))),
% 0.21/0.46      inference(rewrite,[status(thm)],[])).
% 0.21/0.46  tff(271,axiom,(~(c = d)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','c_not_d')).
% 0.21/0.46  tff(272,plain,
% 0.21/0.46      (~(c = d)),
% 0.21/0.46      inference(modus_ponens,[status(thm)],[271, 270])).
% 0.21/0.46  tff(273,plain,
% 0.21/0.46      ($false),
% 0.21/0.46      inference(unit_resolution,[status(thm)],[272, 269])).
% 0.21/0.46  tff(274,plain,(~(place_of(c) = first)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.46  tff(275,plain,
% 0.21/0.46      ((~(place_of(c) = third)) <=> (~(place_of(c) = third))),
% 0.21/0.46      inference(rewrite,[status(thm)],[])).
% 0.21/0.46  tff(276,plain,
% 0.21/0.46      (~(place_of(c) = third)),
% 0.21/0.46      inference(and_elim,[status(thm)],[160])).
% 0.21/0.46  tff(277,plain,
% 0.21/0.46      (~(place_of(c) = third)),
% 0.21/0.46      inference(modus_ponens,[status(thm)],[276, 275])).
% 0.21/0.46  tff(278,plain,
% 0.21/0.46      (((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | ((place_of(c) = third) | (place_of(c) = first) | (place_of(c) = second) | (place_of(c) = fourth))) <=> ((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | (place_of(c) = third) | (place_of(c) = first) | (place_of(c) = second) | (place_of(c) = fourth))),
% 0.21/0.46      inference(rewrite,[status(thm)],[])).
% 0.21/0.46  tff(279,plain,
% 0.21/0.46      (((place_of(c) = fourth) | (place_of(c) = third) | (place_of(c) = second) | (place_of(c) = first)) <=> ((place_of(c) = third) | (place_of(c) = first) | (place_of(c) = second) | (place_of(c) = fourth))),
% 0.21/0.46      inference(rewrite,[status(thm)],[])).
% 0.21/0.46  tff(280,plain,
% 0.21/0.46      (((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | ((place_of(c) = fourth) | (place_of(c) = third) | (place_of(c) = second) | (place_of(c) = first))) <=> ((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | ((place_of(c) = third) | (place_of(c) = first) | (place_of(c) = second) | (place_of(c) = fourth)))),
% 0.21/0.46      inference(monotonicity,[status(thm)],[279])).
% 0.21/0.46  tff(281,plain,
% 0.21/0.46      (((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | ((place_of(c) = fourth) | (place_of(c) = third) | (place_of(c) = second) | (place_of(c) = first))) <=> ((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | (place_of(c) = third) | (place_of(c) = first) | (place_of(c) = second) | (place_of(c) = fourth))),
% 0.21/0.46      inference(transitivity,[status(thm)],[280, 278])).
% 0.21/0.46  tff(282,plain,
% 0.21/0.46      ((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | ((place_of(c) = fourth) | (place_of(c) = third) | (place_of(c) = second) | (place_of(c) = first))),
% 0.21/0.46      inference(quant_inst,[status(thm)],[])).
% 0.21/0.46  tff(283,plain,
% 0.21/0.46      ((~![X: place] : ((X = fourth) | (X = third) | (X = second) | (X = first))) | (place_of(c) = third) | (place_of(c) = first) | (place_of(c) = second) | (place_of(c) = fourth)),
% 0.21/0.46      inference(modus_ponens,[status(thm)],[282, 281])).
% 0.21/0.46  tff(284,plain,
% 0.21/0.46      ((place_of(c) = first) | (place_of(c) = second) | (place_of(c) = fourth)),
% 0.21/0.46      inference(unit_resolution,[status(thm)],[283, 172, 277])).
% 0.21/0.46  tff(285,plain,
% 0.21/0.46      ((place_of(c) = second) | (place_of(c) = fourth)),
% 0.21/0.46      inference(unit_resolution,[status(thm)],[284, 274])).
% 0.21/0.46  tff(286,plain,
% 0.21/0.46      ($false),
% 0.21/0.46      inference(unit_resolution,[status(thm)],[285, 128, 121])).
% 0.21/0.46  tff(287,plain,(~(entry_of(c) = laser_etching)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.46  tff(288,assumption,(entry_of(c) = reconstituted_materials_sculpture), introduced(assumption)).
% 0.21/0.46  tff(289,plain,
% 0.21/0.46      (entry_of(c) = entry_of(a)),
% 0.21/0.46      inference(transitivity,[status(thm)],[288, 89])).
% 0.21/0.46  tff(290,plain,
% 0.21/0.46      (inj_0(entry_of(c)) = inj_0(entry_of(a))),
% 0.21/0.46      inference(monotonicity,[status(thm)],[289])).
% 0.21/0.46  tff(291,plain,
% 0.21/0.46      (inj_0(entry_of(a)) = inj_0(entry_of(c))),
% 0.21/0.47      inference(symmetry,[status(thm)],[290])).
% 0.21/0.47  tff(292,plain,
% 0.21/0.47      (a = c),
% 0.21/0.47      inference(transitivity,[status(thm)],[96, 291, 104])).
% 0.21/0.47  tff(293,plain,
% 0.21/0.47      ((~(a = c)) <=> (~(a = c))),
% 0.21/0.47      inference(rewrite,[status(thm)],[])).
% 0.21/0.47  tff(294,axiom,(~(a = c)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','a_not_c')).
% 0.21/0.47  tff(295,plain,
% 0.21/0.47      (~(a = c)),
% 0.21/0.47      inference(modus_ponens,[status(thm)],[294, 293])).
% 0.21/0.47  tff(296,plain,
% 0.21/0.47      ($false),
% 0.21/0.47      inference(unit_resolution,[status(thm)],[295, 292])).
% 0.21/0.47  tff(297,plain,(~(entry_of(c) = reconstituted_materials_sculpture)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.47  tff(298,plain,
% 0.21/0.47      (((~![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)))),
% 0.21/0.47      inference(rewrite,[status(thm)],[])).
% 0.21/0.47  tff(299,plain,
% 0.21/0.47      (((~(entry_of(c) = collage_painting)) | $false) <=> (~(entry_of(c) = collage_painting))),
% 0.21/0.47      inference(rewrite,[status(thm)],[])).
% 0.21/0.47  tff(300,plain,
% 0.21/0.47      (((c = a) | $true | (place_of(c) = first) | (place_of(c) = second)) <=> $true),
% 0.21/0.47      inference(rewrite,[status(thm)],[])).
% 0.21/0.47  tff(301,plain,
% 0.21/0.47      ((c = c) <=> $true),
% 0.21/0.47      inference(rewrite,[status(thm)],[])).
% 0.21/0.47  tff(302,plain,
% 0.21/0.47      (((c = a) | (c = c) | (place_of(c) = first) | (place_of(c) = second)) <=> ((c = a) | $true | (place_of(c) = first) | (place_of(c) = second))),
% 0.21/0.47      inference(monotonicity,[status(thm)],[301])).
% 0.21/0.47  tff(303,plain,
% 0.21/0.47      (((c = a) | (c = c) | (place_of(c) = first) | (place_of(c) = second)) <=> $true),
% 0.21/0.47      inference(transitivity,[status(thm)],[302, 300])).
% 0.21/0.47  tff(304,plain,
% 0.21/0.47      ((~((c = a) | (c = c) | (place_of(c) = first) | (place_of(c) = second))) <=> (~$true)),
% 0.21/0.47      inference(monotonicity,[status(thm)],[303])).
% 0.21/0.47  tff(305,plain,
% 0.21/0.47      ((~((c = a) | (c = c) | (place_of(c) = first) | (place_of(c) = second))) <=> $false),
% 0.21/0.47      inference(transitivity,[status(thm)],[304, 29])).
% 0.21/0.47  tff(306,plain,
% 0.21/0.47      (((~(entry_of(c) = collage_painting)) | (~((c = a) | (c = c) | (place_of(c) = first) | (place_of(c) = second)))) <=> ((~(entry_of(c) = collage_painting)) | $false)),
% 0.21/0.47      inference(monotonicity,[status(thm)],[305])).
% 0.21/0.47  tff(307,plain,
% 0.21/0.47      (((~(entry_of(c) = collage_painting)) | (~((c = a) | (c = c) | (place_of(c) = first) | (place_of(c) = second)))) <=> (~(entry_of(c) = collage_painting))),
% 0.21/0.47      inference(transitivity,[status(thm)],[306, 299])).
% 0.21/0.47  tff(308,plain,
% 0.21/0.47      (((~![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)))),
% 0.21/0.47      inference(monotonicity,[status(thm)],[307])).
% 0.21/0.47  tff(309,plain,
% 0.21/0.47      (((~![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)))),
% 0.21/0.47      inference(transitivity,[status(thm)],[308, 298])).
% 0.21/0.47  tff(310,plain,
% 0.21/0.47      ((~![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))))),
% 0.21/0.47      inference(quant_inst,[status(thm)],[])).
% 0.21/0.47  tff(311,plain,
% 0.21/0.47      ((~![X: knowheyan] : ((~(entry_of(X) = collage_painting)) | (~((X = a) | (X = c) | (place_of(X) = first) | (place_of(X) = second))))) | (~(entry_of(c) = collage_painting))),
% 0.21/0.47      inference(modus_ponens,[status(thm)],[310, 309])).
% 0.21/0.47  tff(312,plain,
% 0.21/0.47      (~(entry_of(c) = collage_painting)),
% 0.21/0.47      inference(unit_resolution,[status(thm)],[311, 26])).
% 0.21/0.47  tff(313,plain,
% 0.21/0.47      (((~![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))),
% 0.21/0.47      inference(rewrite,[status(thm)],[])).
% 0.21/0.47  tff(314,plain,
% 0.21/0.47      (((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))),
% 0.21/0.47      inference(rewrite,[status(thm)],[])).
% 0.21/0.47  tff(315,plain,
% 0.21/0.47      (((~![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)))),
% 0.21/0.47      inference(monotonicity,[status(thm)],[314])).
% 0.21/0.47  tff(316,plain,
% 0.21/0.47      (((~![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))),
% 0.21/0.47      inference(transitivity,[status(thm)],[315, 313])).
% 0.21/0.47  tff(317,plain,
% 0.21/0.47      ((~![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))),
% 0.21/0.47      inference(quant_inst,[status(thm)],[])).
% 0.21/0.47  tff(318,plain,
% 0.21/0.47      ((~![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)),
% 0.21/0.47      inference(modus_ponens,[status(thm)],[317, 316])).
% 0.21/0.47  tff(319,plain,
% 0.21/0.47      ((entry_of(c) = laser_etching) | (entry_of(c) = holography) | (entry_of(c) = reconstituted_materials_sculpture)),
% 0.21/0.47      inference(unit_resolution,[status(thm)],[318, 81, 312])).
% 0.21/0.47  tff(320,plain,
% 0.21/0.47      ((entry_of(c) = laser_etching) | (entry_of(c) = holography)),
% 0.21/0.47      inference(unit_resolution,[status(thm)],[319, 297])).
% 0.21/0.47  tff(321,plain,
% 0.21/0.47      (entry_of(c) = holography),
% 0.21/0.47      inference(unit_resolution,[status(thm)],[320, 287])).
% 0.21/0.47  tff(322,plain,
% 0.21/0.47      (holography = entry_of(c)),
% 0.21/0.47      inference(symmetry,[status(thm)],[321])).
% 0.21/0.47  tff(323,assumption,(entry_of(b) = holography), introduced(assumption)).
% 0.21/0.47  tff(324,plain,
% 0.21/0.47      (entry_of(b) = entry_of(c)),
% 0.21/0.47      inference(transitivity,[status(thm)],[323, 322])).
% 0.21/0.47  tff(325,plain,
% 0.21/0.47      (inj_0(entry_of(b)) = inj_0(entry_of(c))),
% 0.21/0.47      inference(monotonicity,[status(thm)],[324])).
% 0.21/0.47  tff(326,plain,
% 0.21/0.47      (b = inj_0(entry_of(b))),
% 0.21/0.47      inference(symmetry,[status(thm)],[13])).
% 0.21/0.47  tff(327,plain,
% 0.21/0.47      (b = c),
% 0.21/0.47      inference(transitivity,[status(thm)],[326, 325, 104])).
% 0.21/0.47  tff(328,plain,
% 0.21/0.47      ($false),
% 0.21/0.47      inference(unit_resolution,[status(thm)],[155, 327])).
% 0.21/0.47  tff(329,plain,(~(entry_of(b) = holography)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.47  tff(330,plain,
% 0.21/0.47      ((~(entry_of(b) = laser_etching)) <=> (~(entry_of(b) = laser_etching))),
% 0.21/0.47      inference(rewrite,[status(thm)],[])).
% 0.21/0.47  tff(331,plain,
% 0.21/0.47      (~(entry_of(b) = laser_etching)),
% 0.21/0.47      inference(and_elim,[status(thm)],[50])).
% 0.21/0.47  tff(332,plain,
% 0.21/0.47      (~(entry_of(b) = laser_etching)),
% 0.21/0.47      inference(modus_ponens,[status(thm)],[331, 330])).
% 0.21/0.47  tff(333,plain,
% 0.21/0.47      (((~![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))) | ((entry_of(b) = laser_etching) | (entry_of(b) = collage_painting) | (entry_of(b) = holography) | (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) = collage_painting) | (entry_of(b) = holography) | (entry_of(b) = reconstituted_materials_sculpture))),
% 0.21/0.47      inference(rewrite,[status(thm)],[])).
% 0.21/0.47  tff(334,plain,
% 0.21/0.47      (((entry_of(b) = reconstituted_materials_sculpture) | (entry_of(b) = laser_etching) | (entry_of(b) = holography) | (entry_of(b) = collage_painting)) <=> ((entry_of(b) = laser_etching) | (entry_of(b) = collage_painting) | (entry_of(b) = holography) | (entry_of(b) = reconstituted_materials_sculpture))),
% 0.21/0.47      inference(rewrite,[status(thm)],[])).
% 0.21/0.47  tff(335,plain,
% 0.21/0.47      (((~![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))) | ((entry_of(b) = reconstituted_materials_sculpture) | (entry_of(b) = laser_etching) | (entry_of(b) = holography) | (entry_of(b) = collage_painting))) <=> ((~![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))) | ((entry_of(b) = laser_etching) | (entry_of(b) = collage_painting) | (entry_of(b) = holography) | (entry_of(b) = reconstituted_materials_sculpture)))),
% 0.21/0.47      inference(monotonicity,[status(thm)],[334])).
% 0.21/0.47  tff(336,plain,
% 0.21/0.47      (((~![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))) | ((entry_of(b) = reconstituted_materials_sculpture) | (entry_of(b) = laser_etching) | (entry_of(b) = holography) | (entry_of(b) = collage_painting))) <=> ((~![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))) | (entry_of(b) = laser_etching) | (entry_of(b) = collage_painting) | (entry_of(b) = holography) | (entry_of(b) = reconstituted_materials_sculpture))),
% 0.21/0.47      inference(transitivity,[status(thm)],[335, 333])).
% 0.21/0.47  tff(337,plain,
% 0.21/0.47      ((~![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))),
% 0.21/0.47      inference(quant_inst,[status(thm)],[])).
% 0.21/0.47  tff(338,plain,
% 0.21/0.47      ((~![X: entry] : ((X = reconstituted_materials_sculpture) | (X = laser_etching) | (X = holography) | (X = collage_painting))) | (entry_of(b) = laser_etching) | (entry_of(b) = collage_painting) | (entry_of(b) = holography) | (entry_of(b) = reconstituted_materials_sculpture)),
% 0.21/0.47      inference(modus_ponens,[status(thm)],[337, 336])).
% 0.21/0.47  tff(339,plain,
% 0.21/0.47      ((entry_of(b) = collage_painting) | (entry_of(b) = holography) | (entry_of(b) = reconstituted_materials_sculpture)),
% 0.21/0.47      inference(unit_resolution,[status(thm)],[338, 81, 332])).
% 0.21/0.47  tff(340,plain,
% 0.21/0.47      ((entry_of(b) = collage_painting) | (entry_of(b) = reconstituted_materials_sculpture)),
% 0.21/0.47      inference(unit_resolution,[status(thm)],[339, 329])).
% 0.21/0.47  tff(341,plain,
% 0.21/0.47      (entry_of(b) = collage_painting),
% 0.21/0.47      inference(unit_resolution,[status(thm)],[340, 102])).
% 0.21/0.47  tff(342,plain,
% 0.21/0.47      (((~![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))))),
% 0.21/0.48      inference(rewrite,[status(thm)],[])).
% 0.21/0.48  tff(343,plain,
% 0.21/0.48      ((~![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))))),
% 0.21/0.48      inference(quant_inst,[status(thm)],[])).
% 0.21/0.48  tff(344,plain,
% 0.21/0.48      ((~![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)))),
% 0.21/0.48      inference(modus_ponens,[status(thm)],[343, 342])).
% 0.21/0.48  tff(345,plain,
% 0.21/0.48      ((~(entry_of(b) = collage_painting)) | (~((b = a) | (b = c) | (place_of(b) = first) | (place_of(b) = second)))),
% 0.21/0.48      inference(unit_resolution,[status(thm)],[344, 26])).
% 0.21/0.48  tff(346,plain,
% 0.21/0.48      (~((b = a) | (b = c) | (place_of(b) = first) | (place_of(b) = second))),
% 0.21/0.48      inference(unit_resolution,[status(thm)],[345, 341])).
% 0.21/0.48  tff(347,plain,
% 0.21/0.48      (((b = a) | (b = c) | (place_of(b) = first) | (place_of(b) = second)) | (~(place_of(b) = first))),
% 0.21/0.48      inference(tautology,[status(thm)],[])).
% 0.21/0.48  tff(348,plain,
% 0.21/0.48      (~(place_of(b) = first)),
% 0.21/0.48      inference(unit_resolution,[status(thm)],[347, 346])).
% 0.21/0.48  tff(349,plain,
% 0.21/0.48      (((b = a) | (b = c) | (place_of(b) = first) | (place_of(b) = second)) | (~(place_of(b) = second))),
% 0.21/0.48      inference(tautology,[status(thm)],[])).
% 0.21/0.48  tff(350,plain,
% 0.21/0.48      (~(place_of(b) = second)),
% 0.21/0.48      inference(unit_resolution,[status(thm)],[349, 346])).
% 0.21/0.48  tff(351,plain,
% 0.21/0.48      ($false),
% 0.21/0.48      inference(unit_resolution,[status(thm)],[176, 350, 348])).
% 0.21/0.48  % SZS output end Proof
%------------------------------------------------------------------------------