Z3---4.15.1.UNS-Prf.s

View TPTP
Problem Process solution in
SystemOnTSTP Download .tgz
%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : HWV068-1 : TPTP v9.0.0. Bugfixed v5.5.1.
% Transfm  : none
% Format   : tptp
% Command  : run_E %s %d THM

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sat Jun 21 05:10:37 AM UTC 2025

% Result   : Unsatisfiable 20.39s 20.59s
% Output   : Proof 21.72s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : HWV068-1 : TPTP v9.0.0. Bugfixed v5.5.1.
% 0.00/0.12  % Command    : run_E %s %d THM
% 0.11/0.33  % Computer : n014.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Thu Jun 19 17:34:40 EDT 2025
% 0.11/0.33  % CPUTime    : 
% 20.39/20.59  % SZS status Unsatisfiable
% 20.39/20.59  % SZS output start Proof
% 20.39/20.59  tff(esk17157_4_type, type, (
% 20.39/20.59     esk17157_4: ( $i * $i * $i * $i ) > $o)).
% 20.39/20.59  tff(true_type, type, (
% 20.39/20.59     true: $i)).
% 20.39/20.59  tff(esk16221_4_type, type, (
% 20.39/20.59     esk16221_4: ( $i * $i * $i * $i ) > $o)).
% 20.39/20.59  tff(esk16220_4_type, type, (
% 20.39/20.59     esk16220_4: ( $i * $i * $i * $i ) > $o)).
% 20.39/20.59  tff(esk16349_4_type, type, (
% 20.39/20.59     esk16349_4: ( $i * $i * $i * $i ) > $o)).
% 20.39/20.59  tff(esk16347_4_type, type, (
% 20.39/20.59     esk16347_4: ( $i * $i * $i * $i ) > $o)).
% 20.39/20.59  tff(esk17148_4_type, type, (
% 20.39/20.59     esk17148_4: ( $i * $i * $i * $i ) > $o)).
% 20.39/20.59  tff(esk17564_4_type, type, (
% 20.39/20.59     esk17564_4: ( $i * $i * $i * $i ) > $o)).
% 20.39/20.59  tff(p_type, type, (
% 20.39/20.59     p: $i > $o)).
% 20.39/20.59  tff(esk1_0_type, type, (
% 20.39/20.59     esk1_0: $o)).
% 20.39/20.59  tff(esk16348_4_type, type, (
% 20.39/20.59     esk16348_4: ( $i * $i * $i * $i ) > $o)).
% 20.39/20.59  tff(esk17504_4_type, type, (
% 20.39/20.59     esk17504_4: ( $i * $i * $i * $i ) > $o)).
% 20.39/20.59  tff(esk16333_4_type, type, (
% 20.39/20.59     esk16333_4: ( $i * $i * $i * $i ) > $o)).
% 20.39/20.59  tff(esk16222_4_type, type, (
% 20.39/20.59     esk16222_4: ( $i * $i * $i * $i ) > $o)).
% 20.39/20.59  tff(esk17147_4_type, type, (
% 20.39/20.59     esk17147_4: ( $i * $i * $i * $i ) > $o)).
% 20.39/20.59  tff(esk2_0_type, type, (
% 20.39/20.59     esk2_0: $o)).
% 20.39/20.59  tff(esk16569_4_type, type, (
% 20.39/20.59     esk16569_4: ( $i * $i * $i * $i ) > $o)).
% 20.39/20.59  tff(esk16143_4_type, type, (
% 20.39/20.59     esk16143_4: ( $i * $i * $i * $i ) > $o)).
% 20.39/20.59  tff(esk16144_4_type, type, (
% 20.39/20.59     esk16144_4: ( $i * $i * $i * $i ) > $o)).
% 20.39/20.59  tff(esk17174_4_type, type, (
% 20.39/20.59     esk17174_4: ( $i * $i * $i * $i ) > $o)).
% 20.39/20.59  tff(1,assumption,(esk17564_4(true, true, true, true)), introduced(assumption)).
% 20.39/20.59  tff(2,plain,
% 20.39/20.59      (p(true) <=> p(true)),
% 20.39/20.59      inference(rewrite,[status(thm)],[])).
% 20.39/20.59  tff(3,axiom,(p(true)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','rule_true')).
% 20.39/20.59  tff(4,plain,
% 20.39/20.59      (p(true)),
% 20.39/20.59      inference(modus_ponens,[status(thm)],[3, 2])).
% 20.39/20.59  tff(5,plain,
% 20.39/20.59      (^[X4: $i, X3: $i, X2: $i, X1: $i] : refl(((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk17564_4(X1, X2, X3, X4))) <=> ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk17564_4(X1, X2, X3, X4))))),
% 20.39/20.59      inference(bind,[status(th)],[])).
% 20.39/20.59  tff(6,plain,
% 20.39/20.59      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk17564_4(X1, X2, X3, X4))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk17564_4(X1, X2, X3, X4)))),
% 20.39/20.59      inference(quant_intro,[status(thm)],[5])).
% 20.39/20.59  tff(7,plain,
% 20.39/20.59      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk17564_4(X1, X2, X3, X4))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk17564_4(X1, X2, X3, X4)))),
% 20.39/20.59      inference(rewrite,[status(thm)],[])).
% 20.39/20.59  tff(8,plain,
% 20.39/20.59      (^[X4: $i, X3: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~p(X4)) | esk1_0) <=> ((~p(X4)) | esk1_0)), ((((~p(X4)) | esk1_0) | (~p(X1))) <=> (((~p(X4)) | esk1_0) | (~p(X1))))), rewrite((((~p(X4)) | esk1_0) | (~p(X1))) <=> ((~p(X4)) | (~p(X1)) | esk1_0)), ((((~p(X4)) | esk1_0) | (~p(X1))) <=> ((~p(X4)) | (~p(X1)) | esk1_0))), (((((~p(X4)) | esk1_0) | (~p(X1))) | (~esk17564_4(X1, X2, X3, X4))) <=> (((~p(X4)) | (~p(X1)) | esk1_0) | (~esk17564_4(X1, X2, X3, X4))))), rewrite((((~p(X4)) | (~p(X1)) | esk1_0) | (~esk17564_4(X1, X2, X3, X4))) <=> ((~p(X4)) | (~p(X1)) | esk1_0 | (~esk17564_4(X1, X2, X3, X4)))), (((((~p(X4)) | esk1_0) | (~p(X1))) | (~esk17564_4(X1, X2, X3, X4))) <=> ((~p(X4)) | (~p(X1)) | esk1_0 | (~esk17564_4(X1, X2, X3, X4))))), ((((((~p(X4)) | esk1_0) | (~p(X1))) | (~esk17564_4(X1, X2, X3, X4))) | (~p(X3))) <=> (((~p(X4)) | (~p(X1)) | esk1_0 | (~esk17564_4(X1, X2, X3, X4))) | (~p(X3))))), rewrite((((~p(X4)) | (~p(X1)) | esk1_0 | (~esk17564_4(X1, X2, X3, X4))) | (~p(X3))) <=> ((~p(X3)) | (~p(X4)) | (~p(X1)) | esk1_0 | (~esk17564_4(X1, X2, X3, X4)))), ((((((~p(X4)) | esk1_0) | (~p(X1))) | (~esk17564_4(X1, X2, X3, X4))) | (~p(X3))) <=> ((~p(X3)) | (~p(X4)) | (~p(X1)) | esk1_0 | (~esk17564_4(X1, X2, X3, X4))))), (((((((~p(X4)) | esk1_0) | (~p(X1))) | (~esk17564_4(X1, X2, X3, X4))) | (~p(X3))) | (~p(X2))) <=> (((~p(X3)) | (~p(X4)) | (~p(X1)) | esk1_0 | (~esk17564_4(X1, X2, X3, X4))) | (~p(X2))))), rewrite((((~p(X3)) | (~p(X4)) | (~p(X1)) | esk1_0 | (~esk17564_4(X1, X2, X3, X4))) | (~p(X2))) <=> ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk17564_4(X1, X2, X3, X4)))), (((((((~p(X4)) | esk1_0) | (~p(X1))) | (~esk17564_4(X1, X2, X3, X4))) | (~p(X3))) | (~p(X2))) <=> ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk17564_4(X1, X2, X3, X4)))))),
% 20.39/20.59      inference(bind,[status(th)],[])).
% 20.39/20.59  tff(9,plain,
% 20.39/20.59      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((((((~p(X4)) | esk1_0) | (~p(X1))) | (~esk17564_4(X1, X2, X3, X4))) | (~p(X3))) | (~p(X2))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk17564_4(X1, X2, X3, X4)))),
% 20.39/20.59      inference(quant_intro,[status(thm)],[8])).
% 20.39/20.59  tff(10,axiom,(![X4: $i, X3: $i, X2: $i, X1: $i] : ((((((~p(X4)) | esk1_0) | (~p(X1))) | (~esk17564_4(X1, X2, X3, X4))) | (~p(X3))) | (~p(X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','i_0_43176')).
% 20.39/20.59  tff(11,plain,
% 20.39/20.59      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk17564_4(X1, X2, X3, X4)))),
% 20.39/20.59      inference(modus_ponens,[status(thm)],[10, 9])).
% 20.39/20.59  tff(12,plain,
% 20.39/20.59      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk17564_4(X1, X2, X3, X4)))),
% 20.39/20.59      inference(modus_ponens,[status(thm)],[11, 7])).
% 20.39/20.59  tff(13,plain,(
% 20.39/20.59      ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk17564_4(X1, X2, X3, X4)))),
% 20.39/20.59      inference(skolemize,[status(sab)],[12])).
% 20.39/20.59  tff(14,plain,
% 20.39/20.59      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk17564_4(X1, X2, X3, X4)))),
% 20.39/20.59      inference(modus_ponens,[status(thm)],[13, 6])).
% 20.39/20.59  tff(15,plain,
% 20.39/20.59      ((~esk1_0) <=> (~esk1_0)),
% 20.39/20.59      inference(rewrite,[status(thm)],[])).
% 20.39/20.59  tff(16,axiom,(~esk1_0), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','i_0_37238')).
% 20.39/20.59  tff(17,plain,
% 20.39/20.59      (~esk1_0),
% 20.39/20.59      inference(modus_ponens,[status(thm)],[16, 15])).
% 20.39/20.59  tff(18,plain,
% 20.39/20.59      (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk17564_4(X1, X2, X3, X4)))) | (esk1_0 | (~p(true)) | (~esk17564_4(true, true, true, true)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk17564_4(X1, X2, X3, X4)))) | esk1_0 | (~p(true)) | (~esk17564_4(true, true, true, true)))),
% 20.39/20.59      inference(rewrite,[status(thm)],[])).
% 20.39/20.59  tff(19,plain,
% 20.39/20.59      (((~p(true)) | (~p(true)) | (~p(true)) | (~p(true)) | esk1_0 | (~esk17564_4(true, true, true, true))) <=> (esk1_0 | (~p(true)) | (~esk17564_4(true, true, true, true)))),
% 20.39/20.59      inference(rewrite,[status(thm)],[])).
% 20.39/20.59  tff(20,plain,
% 20.39/20.59      (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk17564_4(X1, X2, X3, X4)))) | ((~p(true)) | (~p(true)) | (~p(true)) | (~p(true)) | esk1_0 | (~esk17564_4(true, true, true, true)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk17564_4(X1, X2, X3, X4)))) | (esk1_0 | (~p(true)) | (~esk17564_4(true, true, true, true))))),
% 20.39/20.59      inference(monotonicity,[status(thm)],[19])).
% 20.39/20.59  tff(21,plain,
% 20.39/20.59      (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk17564_4(X1, X2, X3, X4)))) | ((~p(true)) | (~p(true)) | (~p(true)) | (~p(true)) | esk1_0 | (~esk17564_4(true, true, true, true)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk17564_4(X1, X2, X3, X4)))) | esk1_0 | (~p(true)) | (~esk17564_4(true, true, true, true)))),
% 20.39/20.59      inference(transitivity,[status(thm)],[20, 18])).
% 20.39/20.59  tff(22,plain,
% 20.39/20.59      ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk17564_4(X1, X2, X3, X4)))) | ((~p(true)) | (~p(true)) | (~p(true)) | (~p(true)) | esk1_0 | (~esk17564_4(true, true, true, true)))),
% 20.39/20.59      inference(quant_inst,[status(thm)],[])).
% 20.39/20.59  tff(23,plain,
% 20.39/20.59      ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk17564_4(X1, X2, X3, X4)))) | esk1_0 | (~p(true)) | (~esk17564_4(true, true, true, true))),
% 20.39/20.59      inference(modus_ponens,[status(thm)],[22, 21])).
% 20.39/20.59  tff(24,plain,
% 20.39/20.59      ($false),
% 20.39/20.59      inference(unit_resolution,[status(thm)],[23, 17, 14, 4, 1])).
% 20.39/20.59  tff(25,plain,(~esk17564_4(true, true, true, true)), inference(lemma,lemma(discharge,[]))).
% 20.39/20.59  tff(26,plain,
% 20.39/20.59      (^[X4: $i, X3: $i, X2: $i, X1: $i] : refl((esk17564_4(X1, X2, X3, X4) | (~esk17148_4(X1, X2, X3, X4))) <=> (esk17564_4(X1, X2, X3, X4) | (~esk17148_4(X1, X2, X3, X4))))),
% 20.39/20.59      inference(bind,[status(th)],[])).
% 20.39/20.59  tff(27,plain,
% 20.39/20.59      (![X4: $i, X3: $i, X2: $i, X1: $i] : (esk17564_4(X1, X2, X3, X4) | (~esk17148_4(X1, X2, X3, X4))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : (esk17564_4(X1, X2, X3, X4) | (~esk17148_4(X1, X2, X3, X4)))),
% 20.39/20.59      inference(quant_intro,[status(thm)],[26])).
% 20.39/20.59  tff(28,plain,
% 20.39/20.59      (![X4: $i, X3: $i, X2: $i, X1: $i] : (esk17564_4(X1, X2, X3, X4) | (~esk17148_4(X1, X2, X3, X4))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : (esk17564_4(X1, X2, X3, X4) | (~esk17148_4(X1, X2, X3, X4)))),
% 20.39/20.59      inference(rewrite,[status(thm)],[])).
% 20.39/20.59  tff(29,axiom,(![X4: $i, X3: $i, X2: $i, X1: $i] : (esk17564_4(X1, X2, X3, X4) | (~esk17148_4(X1, X2, X3, X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','i_0_22074')).
% 20.39/20.59  tff(30,plain,
% 20.39/20.59      (![X4: $i, X3: $i, X2: $i, X1: $i] : (esk17564_4(X1, X2, X3, X4) | (~esk17148_4(X1, X2, X3, X4)))),
% 20.39/20.59      inference(modus_ponens,[status(thm)],[29, 28])).
% 20.39/20.59  tff(31,plain,(
% 20.39/20.59      ![X4: $i, X3: $i, X2: $i, X1: $i] : (esk17564_4(X1, X2, X3, X4) | (~esk17148_4(X1, X2, X3, X4)))),
% 20.39/20.59      inference(skolemize,[status(sab)],[30])).
% 20.39/20.59  tff(32,plain,
% 20.39/20.59      (![X4: $i, X3: $i, X2: $i, X1: $i] : (esk17564_4(X1, X2, X3, X4) | (~esk17148_4(X1, X2, X3, X4)))),
% 20.39/20.59      inference(modus_ponens,[status(thm)],[31, 27])).
% 20.39/20.59  tff(33,plain,
% 20.39/20.59      (((~![X4: $i, X3: $i, X2: $i, X1: $i] : (esk17564_4(X1, X2, X3, X4) | (~esk17148_4(X1, X2, X3, X4)))) | ((~esk17148_4(true, true, true, true)) | esk17564_4(true, true, true, true))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : (esk17564_4(X1, X2, X3, X4) | (~esk17148_4(X1, X2, X3, X4)))) | (~esk17148_4(true, true, true, true)) | esk17564_4(true, true, true, true))),
% 20.39/20.59      inference(rewrite,[status(thm)],[])).
% 20.39/20.59  tff(34,plain,
% 20.39/20.59      ((esk17564_4(true, true, true, true) | (~esk17148_4(true, true, true, true))) <=> ((~esk17148_4(true, true, true, true)) | esk17564_4(true, true, true, true))),
% 20.39/20.59      inference(rewrite,[status(thm)],[])).
% 20.39/20.59  tff(35,plain,
% 20.39/20.59      (((~![X4: $i, X3: $i, X2: $i, X1: $i] : (esk17564_4(X1, X2, X3, X4) | (~esk17148_4(X1, X2, X3, X4)))) | (esk17564_4(true, true, true, true) | (~esk17148_4(true, true, true, true)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : (esk17564_4(X1, X2, X3, X4) | (~esk17148_4(X1, X2, X3, X4)))) | ((~esk17148_4(true, true, true, true)) | esk17564_4(true, true, true, true)))),
% 20.39/20.59      inference(monotonicity,[status(thm)],[34])).
% 20.39/20.59  tff(36,plain,
% 20.39/20.59      (((~![X4: $i, X3: $i, X2: $i, X1: $i] : (esk17564_4(X1, X2, X3, X4) | (~esk17148_4(X1, X2, X3, X4)))) | (esk17564_4(true, true, true, true) | (~esk17148_4(true, true, true, true)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : (esk17564_4(X1, X2, X3, X4) | (~esk17148_4(X1, X2, X3, X4)))) | (~esk17148_4(true, true, true, true)) | esk17564_4(true, true, true, true))),
% 20.39/20.59      inference(transitivity,[status(thm)],[35, 33])).
% 20.39/20.59  tff(37,plain,
% 20.39/20.59      ((~![X4: $i, X3: $i, X2: $i, X1: $i] : (esk17564_4(X1, X2, X3, X4) | (~esk17148_4(X1, X2, X3, X4)))) | (esk17564_4(true, true, true, true) | (~esk17148_4(true, true, true, true)))),
% 20.39/20.59      inference(quant_inst,[status(thm)],[])).
% 20.39/20.59  tff(38,plain,
% 20.39/20.59      ((~![X4: $i, X3: $i, X2: $i, X1: $i] : (esk17564_4(X1, X2, X3, X4) | (~esk17148_4(X1, X2, X3, X4)))) | (~esk17148_4(true, true, true, true)) | esk17564_4(true, true, true, true)),
% 20.39/20.59      inference(modus_ponens,[status(thm)],[37, 36])).
% 20.39/20.59  tff(39,plain,
% 20.39/20.59      (~esk17148_4(true, true, true, true)),
% 20.39/20.59      inference(unit_resolution,[status(thm)],[38, 32, 25])).
% 20.39/20.59  tff(40,plain,
% 20.39/20.59      (^[X4: $i, X3: $i, X2: $i, X1: $i] : refl(((~esk16347_4(X1, X2, X3, X4)) | esk17148_4(X1, X2, X3, X4)) <=> ((~esk16347_4(X1, X2, X3, X4)) | esk17148_4(X1, X2, X3, X4)))),
% 20.39/20.59      inference(bind,[status(th)],[])).
% 20.39/20.59  tff(41,plain,
% 20.39/20.59      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16347_4(X1, X2, X3, X4)) | esk17148_4(X1, X2, X3, X4)) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16347_4(X1, X2, X3, X4)) | esk17148_4(X1, X2, X3, X4))),
% 20.39/20.59      inference(quant_intro,[status(thm)],[40])).
% 20.39/20.59  tff(42,plain,
% 20.39/20.59      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16347_4(X1, X2, X3, X4)) | esk17148_4(X1, X2, X3, X4)) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16347_4(X1, X2, X3, X4)) | esk17148_4(X1, X2, X3, X4))),
% 20.39/20.59      inference(rewrite,[status(thm)],[])).
% 20.39/20.59  tff(43,plain,
% 20.39/20.59      (^[X4: $i, X3: $i, X2: $i, X1: $i] : rewrite((esk17148_4(X1, X2, X3, X4) | (~esk16347_4(X1, X2, X3, X4))) <=> ((~esk16347_4(X1, X2, X3, X4)) | esk17148_4(X1, X2, X3, X4)))),
% 20.39/20.59      inference(bind,[status(th)],[])).
% 20.39/20.59  tff(44,plain,
% 20.39/20.59      (![X4: $i, X3: $i, X2: $i, X1: $i] : (esk17148_4(X1, X2, X3, X4) | (~esk16347_4(X1, X2, X3, X4))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16347_4(X1, X2, X3, X4)) | esk17148_4(X1, X2, X3, X4))),
% 20.39/20.59      inference(quant_intro,[status(thm)],[43])).
% 20.39/20.59  tff(45,axiom,(![X4: $i, X3: $i, X2: $i, X1: $i] : (esk17148_4(X1, X2, X3, X4) | (~esk16347_4(X1, X2, X3, X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','i_0_26220')).
% 20.39/20.59  tff(46,plain,
% 20.39/20.59      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16347_4(X1, X2, X3, X4)) | esk17148_4(X1, X2, X3, X4))),
% 20.39/20.59      inference(modus_ponens,[status(thm)],[45, 44])).
% 20.39/20.59  tff(47,plain,
% 20.39/20.59      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16347_4(X1, X2, X3, X4)) | esk17148_4(X1, X2, X3, X4))),
% 20.39/20.59      inference(modus_ponens,[status(thm)],[46, 42])).
% 20.39/20.59  tff(48,plain,(
% 20.39/20.59      ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16347_4(X1, X2, X3, X4)) | esk17148_4(X1, X2, X3, X4))),
% 20.39/20.59      inference(skolemize,[status(sab)],[47])).
% 20.39/20.59  tff(49,plain,
% 20.39/20.59      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16347_4(X1, X2, X3, X4)) | esk17148_4(X1, X2, X3, X4))),
% 20.39/20.59      inference(modus_ponens,[status(thm)],[48, 41])).
% 20.39/20.59  tff(50,plain,
% 20.39/20.59      (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16347_4(X1, X2, X3, X4)) | esk17148_4(X1, X2, X3, X4))) | ((~esk16347_4(true, true, true, true)) | esk17148_4(true, true, true, true))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16347_4(X1, X2, X3, X4)) | esk17148_4(X1, X2, X3, X4))) | (~esk16347_4(true, true, true, true)) | esk17148_4(true, true, true, true))),
% 20.39/20.59      inference(rewrite,[status(thm)],[])).
% 20.39/20.59  tff(51,plain,
% 20.39/20.59      ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16347_4(X1, X2, X3, X4)) | esk17148_4(X1, X2, X3, X4))) | ((~esk16347_4(true, true, true, true)) | esk17148_4(true, true, true, true))),
% 20.39/20.59      inference(quant_inst,[status(thm)],[])).
% 20.39/20.59  tff(52,plain,
% 20.39/20.59      ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16347_4(X1, X2, X3, X4)) | esk17148_4(X1, X2, X3, X4))) | (~esk16347_4(true, true, true, true)) | esk17148_4(true, true, true, true)),
% 20.39/20.59      inference(modus_ponens,[status(thm)],[51, 50])).
% 20.39/20.59  tff(53,plain,
% 20.39/20.59      (~esk16347_4(true, true, true, true)),
% 20.39/20.59      inference(unit_resolution,[status(thm)],[52, 49, 39])).
% 20.39/20.59  tff(54,plain,
% 20.39/20.59      (^[X4: $i, X3: $i, X2: $i, X1: $i] : refl(((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk16333_4(X1, X2, X3, X4))) <=> ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk16333_4(X1, X2, X3, X4))))),
% 20.39/20.59      inference(bind,[status(th)],[])).
% 20.39/20.59  tff(55,plain,
% 20.39/20.59      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk16333_4(X1, X2, X3, X4))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk16333_4(X1, X2, X3, X4)))),
% 20.39/20.59      inference(quant_intro,[status(thm)],[54])).
% 20.39/20.59  tff(56,plain,
% 20.39/20.59      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk16333_4(X1, X2, X3, X4))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk16333_4(X1, X2, X3, X4)))),
% 20.39/20.59      inference(rewrite,[status(thm)],[])).
% 20.39/20.59  tff(57,plain,
% 20.39/20.59      (^[X4: $i, X3: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~p(X3)) | (~esk16333_4(X1, X2, X3, X4))) | (~p(X2))) <=> ((~p(X3)) | (~p(X2)) | (~esk16333_4(X1, X2, X3, X4)))), (((((~p(X3)) | (~esk16333_4(X1, X2, X3, X4))) | (~p(X2))) | esk1_0) <=> (((~p(X3)) | (~p(X2)) | (~esk16333_4(X1, X2, X3, X4))) | esk1_0))), rewrite((((~p(X3)) | (~p(X2)) | (~esk16333_4(X1, X2, X3, X4))) | esk1_0) <=> ((~p(X3)) | (~p(X2)) | esk1_0 | (~esk16333_4(X1, X2, X3, X4)))), (((((~p(X3)) | (~esk16333_4(X1, X2, X3, X4))) | (~p(X2))) | esk1_0) <=> ((~p(X3)) | (~p(X2)) | esk1_0 | (~esk16333_4(X1, X2, X3, X4))))), ((((((~p(X3)) | (~esk16333_4(X1, X2, X3, X4))) | (~p(X2))) | esk1_0) | (~p(X1))) <=> (((~p(X3)) | (~p(X2)) | esk1_0 | (~esk16333_4(X1, X2, X3, X4))) | (~p(X1))))), rewrite((((~p(X3)) | (~p(X2)) | esk1_0 | (~esk16333_4(X1, X2, X3, X4))) | (~p(X1))) <=> ((~p(X3)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk16333_4(X1, X2, X3, X4)))), ((((((~p(X3)) | (~esk16333_4(X1, X2, X3, X4))) | (~p(X2))) | esk1_0) | (~p(X1))) <=> ((~p(X3)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk16333_4(X1, X2, X3, X4))))), (((((((~p(X3)) | (~esk16333_4(X1, X2, X3, X4))) | (~p(X2))) | esk1_0) | (~p(X1))) | (~p(X4))) <=> (((~p(X3)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk16333_4(X1, X2, X3, X4))) | (~p(X4))))), rewrite((((~p(X3)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk16333_4(X1, X2, X3, X4))) | (~p(X4))) <=> ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk16333_4(X1, X2, X3, X4)))), (((((((~p(X3)) | (~esk16333_4(X1, X2, X3, X4))) | (~p(X2))) | esk1_0) | (~p(X1))) | (~p(X4))) <=> ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk16333_4(X1, X2, X3, X4)))))),
% 20.39/20.59      inference(bind,[status(th)],[])).
% 20.39/20.59  tff(58,plain,
% 20.39/20.59      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((((((~p(X3)) | (~esk16333_4(X1, X2, X3, X4))) | (~p(X2))) | esk1_0) | (~p(X1))) | (~p(X4))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk16333_4(X1, X2, X3, X4)))),
% 20.39/20.59      inference(quant_intro,[status(thm)],[57])).
% 20.39/20.59  tff(59,axiom,(![X4: $i, X3: $i, X2: $i, X1: $i] : ((((((~p(X3)) | (~esk16333_4(X1, X2, X3, X4))) | (~p(X2))) | esk1_0) | (~p(X1))) | (~p(X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','i_0_14736')).
% 20.39/20.59  tff(60,plain,
% 20.39/20.59      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk16333_4(X1, X2, X3, X4)))),
% 20.39/20.59      inference(modus_ponens,[status(thm)],[59, 58])).
% 20.39/20.59  tff(61,plain,
% 20.39/20.59      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk16333_4(X1, X2, X3, X4)))),
% 20.39/20.59      inference(modus_ponens,[status(thm)],[60, 56])).
% 20.39/20.59  tff(62,plain,(
% 20.39/20.59      ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk16333_4(X1, X2, X3, X4)))),
% 20.39/20.59      inference(skolemize,[status(sab)],[61])).
% 20.39/20.59  tff(63,plain,
% 20.39/20.59      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk16333_4(X1, X2, X3, X4)))),
% 20.39/20.59      inference(modus_ponens,[status(thm)],[62, 55])).
% 20.39/20.59  tff(64,plain,
% 20.39/20.59      (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk16333_4(X1, X2, X3, X4)))) | (esk1_0 | (~p(true)) | (~esk16333_4(true, true, true, true)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk16333_4(X1, X2, X3, X4)))) | esk1_0 | (~p(true)) | (~esk16333_4(true, true, true, true)))),
% 20.39/20.59      inference(rewrite,[status(thm)],[])).
% 20.39/20.59  tff(65,plain,
% 20.39/20.59      (((~p(true)) | (~p(true)) | (~p(true)) | (~p(true)) | esk1_0 | (~esk16333_4(true, true, true, true))) <=> (esk1_0 | (~p(true)) | (~esk16333_4(true, true, true, true)))),
% 20.39/20.59      inference(rewrite,[status(thm)],[])).
% 20.39/20.59  tff(66,plain,
% 20.39/20.59      (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk16333_4(X1, X2, X3, X4)))) | ((~p(true)) | (~p(true)) | (~p(true)) | (~p(true)) | esk1_0 | (~esk16333_4(true, true, true, true)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk16333_4(X1, X2, X3, X4)))) | (esk1_0 | (~p(true)) | (~esk16333_4(true, true, true, true))))),
% 20.39/20.59      inference(monotonicity,[status(thm)],[65])).
% 20.39/20.59  tff(67,plain,
% 20.39/20.59      (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk16333_4(X1, X2, X3, X4)))) | ((~p(true)) | (~p(true)) | (~p(true)) | (~p(true)) | esk1_0 | (~esk16333_4(true, true, true, true)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk16333_4(X1, X2, X3, X4)))) | esk1_0 | (~p(true)) | (~esk16333_4(true, true, true, true)))),
% 20.39/20.59      inference(transitivity,[status(thm)],[66, 64])).
% 20.39/20.59  tff(68,plain,
% 20.39/20.59      ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk16333_4(X1, X2, X3, X4)))) | ((~p(true)) | (~p(true)) | (~p(true)) | (~p(true)) | esk1_0 | (~esk16333_4(true, true, true, true)))),
% 20.39/20.59      inference(quant_inst,[status(thm)],[])).
% 20.39/20.59  tff(69,plain,
% 20.39/20.59      ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk16333_4(X1, X2, X3, X4)))) | esk1_0 | (~p(true)) | (~esk16333_4(true, true, true, true))),
% 20.39/20.59      inference(modus_ponens,[status(thm)],[68, 67])).
% 20.39/20.59  tff(70,plain,
% 20.39/20.59      (~esk16333_4(true, true, true, true)),
% 20.39/20.59      inference(unit_resolution,[status(thm)],[69, 63, 17, 4])).
% 20.39/20.59  tff(71,plain,
% 20.39/20.59      (^[X4: $i, X3: $i, X2: $i, X1: $i] : refl(((~esk17504_4(X1, X2, X3, X4)) | esk16333_4(X1, X2, X3, X4)) <=> ((~esk17504_4(X1, X2, X3, X4)) | esk16333_4(X1, X2, X3, X4)))),
% 20.39/20.59      inference(bind,[status(th)],[])).
% 20.39/20.59  tff(72,plain,
% 20.39/20.59      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk17504_4(X1, X2, X3, X4)) | esk16333_4(X1, X2, X3, X4)) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk17504_4(X1, X2, X3, X4)) | esk16333_4(X1, X2, X3, X4))),
% 20.39/20.59      inference(quant_intro,[status(thm)],[71])).
% 20.39/20.59  tff(73,plain,
% 20.39/20.59      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk17504_4(X1, X2, X3, X4)) | esk16333_4(X1, X2, X3, X4)) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk17504_4(X1, X2, X3, X4)) | esk16333_4(X1, X2, X3, X4))),
% 20.39/20.59      inference(rewrite,[status(thm)],[])).
% 20.39/20.59  tff(74,axiom,(![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk17504_4(X1, X2, X3, X4)) | esk16333_4(X1, X2, X3, X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','i_0_20513')).
% 20.39/20.59  tff(75,plain,
% 20.39/20.59      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk17504_4(X1, X2, X3, X4)) | esk16333_4(X1, X2, X3, X4))),
% 20.39/20.59      inference(modus_ponens,[status(thm)],[74, 73])).
% 20.39/20.59  tff(76,plain,(
% 20.39/20.59      ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk17504_4(X1, X2, X3, X4)) | esk16333_4(X1, X2, X3, X4))),
% 20.39/20.59      inference(skolemize,[status(sab)],[75])).
% 20.39/20.59  tff(77,plain,
% 20.39/20.59      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk17504_4(X1, X2, X3, X4)) | esk16333_4(X1, X2, X3, X4))),
% 20.39/20.59      inference(modus_ponens,[status(thm)],[76, 72])).
% 20.39/20.59  tff(78,plain,
% 20.39/20.59      (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk17504_4(X1, X2, X3, X4)) | esk16333_4(X1, X2, X3, X4))) | ((~esk17504_4(true, true, true, true)) | esk16333_4(true, true, true, true))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk17504_4(X1, X2, X3, X4)) | esk16333_4(X1, X2, X3, X4))) | (~esk17504_4(true, true, true, true)) | esk16333_4(true, true, true, true))),
% 20.39/20.59      inference(rewrite,[status(thm)],[])).
% 20.39/20.59  tff(79,plain,
% 20.39/20.59      ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk17504_4(X1, X2, X3, X4)) | esk16333_4(X1, X2, X3, X4))) | ((~esk17504_4(true, true, true, true)) | esk16333_4(true, true, true, true))),
% 20.39/20.59      inference(quant_inst,[status(thm)],[])).
% 20.39/20.59  tff(80,plain,
% 20.39/20.59      ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk17504_4(X1, X2, X3, X4)) | esk16333_4(X1, X2, X3, X4))) | (~esk17504_4(true, true, true, true)) | esk16333_4(true, true, true, true)),
% 20.39/20.59      inference(modus_ponens,[status(thm)],[79, 78])).
% 20.39/20.59  tff(81,plain,
% 20.39/20.59      (~esk17504_4(true, true, true, true)),
% 20.39/20.59      inference(unit_resolution,[status(thm)],[80, 77, 70])).
% 20.39/20.59  tff(82,plain,
% 20.39/20.59      (^[X4: $i, X3: $i, X2: $i, X1: $i] : refl(((~esk16348_4(X1, X2, X3, X4)) | esk17504_4(X1, X2, X3, X4)) <=> ((~esk16348_4(X1, X2, X3, X4)) | esk17504_4(X1, X2, X3, X4)))),
% 20.39/20.59      inference(bind,[status(th)],[])).
% 20.39/20.59  tff(83,plain,
% 20.39/20.59      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16348_4(X1, X2, X3, X4)) | esk17504_4(X1, X2, X3, X4)) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16348_4(X1, X2, X3, X4)) | esk17504_4(X1, X2, X3, X4))),
% 20.39/20.59      inference(quant_intro,[status(thm)],[82])).
% 20.39/20.59  tff(84,plain,
% 20.39/20.59      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16348_4(X1, X2, X3, X4)) | esk17504_4(X1, X2, X3, X4)) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16348_4(X1, X2, X3, X4)) | esk17504_4(X1, X2, X3, X4))),
% 20.39/20.59      inference(rewrite,[status(thm)],[])).
% 20.39/20.59  tff(85,axiom,(![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16348_4(X1, X2, X3, X4)) | esk17504_4(X1, X2, X3, X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','i_0_32779')).
% 20.39/20.59  tff(86,plain,
% 20.39/20.59      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16348_4(X1, X2, X3, X4)) | esk17504_4(X1, X2, X3, X4))),
% 20.39/20.59      inference(modus_ponens,[status(thm)],[85, 84])).
% 20.39/20.59  tff(87,plain,(
% 20.39/20.59      ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16348_4(X1, X2, X3, X4)) | esk17504_4(X1, X2, X3, X4))),
% 20.39/20.59      inference(skolemize,[status(sab)],[86])).
% 20.39/20.59  tff(88,plain,
% 20.39/20.59      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16348_4(X1, X2, X3, X4)) | esk17504_4(X1, X2, X3, X4))),
% 20.39/20.59      inference(modus_ponens,[status(thm)],[87, 83])).
% 20.39/20.59  tff(89,plain,
% 20.39/20.59      (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16348_4(X1, X2, X3, X4)) | esk17504_4(X1, X2, X3, X4))) | ((~esk16348_4(true, true, true, true)) | esk17504_4(true, true, true, true))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16348_4(X1, X2, X3, X4)) | esk17504_4(X1, X2, X3, X4))) | (~esk16348_4(true, true, true, true)) | esk17504_4(true, true, true, true))),
% 20.39/20.59      inference(rewrite,[status(thm)],[])).
% 20.39/20.59  tff(90,plain,
% 20.39/20.59      ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16348_4(X1, X2, X3, X4)) | esk17504_4(X1, X2, X3, X4))) | ((~esk16348_4(true, true, true, true)) | esk17504_4(true, true, true, true))),
% 20.39/20.59      inference(quant_inst,[status(thm)],[])).
% 20.39/20.59  tff(91,plain,
% 20.39/20.59      ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16348_4(X1, X2, X3, X4)) | esk17504_4(X1, X2, X3, X4))) | (~esk16348_4(true, true, true, true)) | esk17504_4(true, true, true, true)),
% 20.39/20.59      inference(modus_ponens,[status(thm)],[90, 89])).
% 20.39/20.59  tff(92,plain,
% 20.39/20.59      (~esk16348_4(true, true, true, true)),
% 20.39/20.59      inference(unit_resolution,[status(thm)],[91, 88, 81])).
% 20.39/20.59  tff(93,plain,
% 20.39/20.59      (^[X4: $i, X3: $i, X2: $i, X1: $i] : refl((esk16347_4(X1, X2, X3, X4) | (~esk16349_4(X1, X2, X3, X4)) | esk16348_4(X1, X2, X3, X4)) <=> (esk16347_4(X1, X2, X3, X4) | (~esk16349_4(X1, X2, X3, X4)) | esk16348_4(X1, X2, X3, X4)))),
% 20.39/20.59      inference(bind,[status(th)],[])).
% 20.39/20.59  tff(94,plain,
% 20.39/20.59      (![X4: $i, X3: $i, X2: $i, X1: $i] : (esk16347_4(X1, X2, X3, X4) | (~esk16349_4(X1, X2, X3, X4)) | esk16348_4(X1, X2, X3, X4)) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : (esk16347_4(X1, X2, X3, X4) | (~esk16349_4(X1, X2, X3, X4)) | esk16348_4(X1, X2, X3, X4))),
% 20.39/20.59      inference(quant_intro,[status(thm)],[93])).
% 20.39/20.59  tff(95,plain,
% 20.39/20.59      (![X4: $i, X3: $i, X2: $i, X1: $i] : (esk16347_4(X1, X2, X3, X4) | (~esk16349_4(X1, X2, X3, X4)) | esk16348_4(X1, X2, X3, X4)) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : (esk16347_4(X1, X2, X3, X4) | (~esk16349_4(X1, X2, X3, X4)) | esk16348_4(X1, X2, X3, X4))),
% 20.39/20.59      inference(rewrite,[status(thm)],[])).
% 20.39/20.59  tff(96,plain,
% 20.39/20.59      (^[X4: $i, X3: $i, X2: $i, X1: $i] : rewrite((((~esk16349_4(X1, X2, X3, X4)) | esk16348_4(X1, X2, X3, X4)) | esk16347_4(X1, X2, X3, X4)) <=> (esk16347_4(X1, X2, X3, X4) | (~esk16349_4(X1, X2, X3, X4)) | esk16348_4(X1, X2, X3, X4)))),
% 20.39/20.59      inference(bind,[status(th)],[])).
% 20.39/20.59  tff(97,plain,
% 20.39/20.59      (![X4: $i, X3: $i, X2: $i, X1: $i] : (((~esk16349_4(X1, X2, X3, X4)) | esk16348_4(X1, X2, X3, X4)) | esk16347_4(X1, X2, X3, X4)) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : (esk16347_4(X1, X2, X3, X4) | (~esk16349_4(X1, X2, X3, X4)) | esk16348_4(X1, X2, X3, X4))),
% 20.39/20.59      inference(quant_intro,[status(thm)],[96])).
% 20.39/20.59  tff(98,axiom,(![X4: $i, X3: $i, X2: $i, X1: $i] : (((~esk16349_4(X1, X2, X3, X4)) | esk16348_4(X1, X2, X3, X4)) | esk16347_4(X1, X2, X3, X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','i_0_25870')).
% 20.39/20.59  tff(99,plain,
% 20.39/20.59      (![X4: $i, X3: $i, X2: $i, X1: $i] : (esk16347_4(X1, X2, X3, X4) | (~esk16349_4(X1, X2, X3, X4)) | esk16348_4(X1, X2, X3, X4))),
% 20.39/20.59      inference(modus_ponens,[status(thm)],[98, 97])).
% 20.39/20.59  tff(100,plain,
% 20.39/20.59      (![X4: $i, X3: $i, X2: $i, X1: $i] : (esk16347_4(X1, X2, X3, X4) | (~esk16349_4(X1, X2, X3, X4)) | esk16348_4(X1, X2, X3, X4))),
% 20.39/20.59      inference(modus_ponens,[status(thm)],[99, 95])).
% 20.39/20.59  tff(101,plain,(
% 20.39/20.59      ![X4: $i, X3: $i, X2: $i, X1: $i] : (esk16347_4(X1, X2, X3, X4) | (~esk16349_4(X1, X2, X3, X4)) | esk16348_4(X1, X2, X3, X4))),
% 20.39/20.59      inference(skolemize,[status(sab)],[100])).
% 20.39/20.59  tff(102,plain,
% 20.39/20.59      (![X4: $i, X3: $i, X2: $i, X1: $i] : (esk16347_4(X1, X2, X3, X4) | (~esk16349_4(X1, X2, X3, X4)) | esk16348_4(X1, X2, X3, X4))),
% 20.39/20.59      inference(modus_ponens,[status(thm)],[101, 94])).
% 20.39/20.59  tff(103,plain,
% 20.39/20.59      (((~![X4: $i, X3: $i, X2: $i, X1: $i] : (esk16347_4(X1, X2, X3, X4) | (~esk16349_4(X1, X2, X3, X4)) | esk16348_4(X1, X2, X3, X4))) | (esk16348_4(true, true, true, true) | esk16347_4(true, true, true, true) | (~esk16349_4(true, true, true, true)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : (esk16347_4(X1, X2, X3, X4) | (~esk16349_4(X1, X2, X3, X4)) | esk16348_4(X1, X2, X3, X4))) | esk16348_4(true, true, true, true) | esk16347_4(true, true, true, true) | (~esk16349_4(true, true, true, true)))),
% 20.39/20.59      inference(rewrite,[status(thm)],[])).
% 20.39/20.59  tff(104,plain,
% 20.39/20.59      ((esk16347_4(true, true, true, true) | (~esk16349_4(true, true, true, true)) | esk16348_4(true, true, true, true)) <=> (esk16348_4(true, true, true, true) | esk16347_4(true, true, true, true) | (~esk16349_4(true, true, true, true)))),
% 20.39/20.59      inference(rewrite,[status(thm)],[])).
% 20.39/20.59  tff(105,plain,
% 20.39/20.59      (((~![X4: $i, X3: $i, X2: $i, X1: $i] : (esk16347_4(X1, X2, X3, X4) | (~esk16349_4(X1, X2, X3, X4)) | esk16348_4(X1, X2, X3, X4))) | (esk16347_4(true, true, true, true) | (~esk16349_4(true, true, true, true)) | esk16348_4(true, true, true, true))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : (esk16347_4(X1, X2, X3, X4) | (~esk16349_4(X1, X2, X3, X4)) | esk16348_4(X1, X2, X3, X4))) | (esk16348_4(true, true, true, true) | esk16347_4(true, true, true, true) | (~esk16349_4(true, true, true, true))))),
% 20.39/20.59      inference(monotonicity,[status(thm)],[104])).
% 20.39/20.59  tff(106,plain,
% 20.39/20.59      (((~![X4: $i, X3: $i, X2: $i, X1: $i] : (esk16347_4(X1, X2, X3, X4) | (~esk16349_4(X1, X2, X3, X4)) | esk16348_4(X1, X2, X3, X4))) | (esk16347_4(true, true, true, true) | (~esk16349_4(true, true, true, true)) | esk16348_4(true, true, true, true))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : (esk16347_4(X1, X2, X3, X4) | (~esk16349_4(X1, X2, X3, X4)) | esk16348_4(X1, X2, X3, X4))) | esk16348_4(true, true, true, true) | esk16347_4(true, true, true, true) | (~esk16349_4(true, true, true, true)))),
% 20.39/20.59      inference(transitivity,[status(thm)],[105, 103])).
% 20.39/20.59  tff(107,plain,
% 20.39/20.59      ((~![X4: $i, X3: $i, X2: $i, X1: $i] : (esk16347_4(X1, X2, X3, X4) | (~esk16349_4(X1, X2, X3, X4)) | esk16348_4(X1, X2, X3, X4))) | (esk16347_4(true, true, true, true) | (~esk16349_4(true, true, true, true)) | esk16348_4(true, true, true, true))),
% 20.39/20.59      inference(quant_inst,[status(thm)],[])).
% 20.39/20.59  tff(108,plain,
% 20.39/20.59      ((~![X4: $i, X3: $i, X2: $i, X1: $i] : (esk16347_4(X1, X2, X3, X4) | (~esk16349_4(X1, X2, X3, X4)) | esk16348_4(X1, X2, X3, X4))) | esk16348_4(true, true, true, true) | esk16347_4(true, true, true, true) | (~esk16349_4(true, true, true, true))),
% 20.39/20.59      inference(modus_ponens,[status(thm)],[107, 106])).
% 20.39/20.59  tff(109,plain,
% 20.39/20.59      (esk16347_4(true, true, true, true) | (~esk16349_4(true, true, true, true))),
% 20.39/20.59      inference(unit_resolution,[status(thm)],[108, 102, 92])).
% 20.39/20.59  tff(110,plain,
% 20.39/20.59      (~esk16349_4(true, true, true, true)),
% 20.39/20.59      inference(unit_resolution,[status(thm)],[109, 53])).
% 20.39/20.59  tff(111,plain,
% 20.39/20.59      (^[X4: $i, X3: $i, X2: $i, X1: $i] : refl((esk16349_4(X1, X2, X3, X4) | (~esk16220_4(X1, X2, X3, X4))) <=> (esk16349_4(X1, X2, X3, X4) | (~esk16220_4(X1, X2, X3, X4))))),
% 20.39/20.59      inference(bind,[status(th)],[])).
% 20.39/20.59  tff(112,plain,
% 20.39/20.59      (![X4: $i, X3: $i, X2: $i, X1: $i] : (esk16349_4(X1, X2, X3, X4) | (~esk16220_4(X1, X2, X3, X4))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : (esk16349_4(X1, X2, X3, X4) | (~esk16220_4(X1, X2, X3, X4)))),
% 20.39/20.59      inference(quant_intro,[status(thm)],[111])).
% 20.39/20.59  tff(113,plain,
% 20.39/20.59      (![X4: $i, X3: $i, X2: $i, X1: $i] : (esk16349_4(X1, X2, X3, X4) | (~esk16220_4(X1, X2, X3, X4))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : (esk16349_4(X1, X2, X3, X4) | (~esk16220_4(X1, X2, X3, X4)))),
% 20.39/20.59      inference(rewrite,[status(thm)],[])).
% 20.39/20.59  tff(114,axiom,(![X4: $i, X3: $i, X2: $i, X1: $i] : (esk16349_4(X1, X2, X3, X4) | (~esk16220_4(X1, X2, X3, X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','i_0_47728')).
% 20.39/20.59  tff(115,plain,
% 20.39/20.59      (![X4: $i, X3: $i, X2: $i, X1: $i] : (esk16349_4(X1, X2, X3, X4) | (~esk16220_4(X1, X2, X3, X4)))),
% 20.39/20.59      inference(modus_ponens,[status(thm)],[114, 113])).
% 20.39/20.59  tff(116,plain,(
% 20.39/20.59      ![X4: $i, X3: $i, X2: $i, X1: $i] : (esk16349_4(X1, X2, X3, X4) | (~esk16220_4(X1, X2, X3, X4)))),
% 20.39/20.59      inference(skolemize,[status(sab)],[115])).
% 20.39/20.59  tff(117,plain,
% 20.39/20.59      (![X4: $i, X3: $i, X2: $i, X1: $i] : (esk16349_4(X1, X2, X3, X4) | (~esk16220_4(X1, X2, X3, X4)))),
% 20.39/20.59      inference(modus_ponens,[status(thm)],[116, 112])).
% 20.39/20.59  tff(118,plain,
% 20.39/20.59      (((~![X4: $i, X3: $i, X2: $i, X1: $i] : (esk16349_4(X1, X2, X3, X4) | (~esk16220_4(X1, X2, X3, X4)))) | (esk16349_4(true, true, true, true) | (~esk16220_4(true, true, true, true)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : (esk16349_4(X1, X2, X3, X4) | (~esk16220_4(X1, X2, X3, X4)))) | esk16349_4(true, true, true, true) | (~esk16220_4(true, true, true, true)))),
% 20.39/20.59      inference(rewrite,[status(thm)],[])).
% 20.39/20.59  tff(119,plain,
% 20.39/20.59      ((~![X4: $i, X3: $i, X2: $i, X1: $i] : (esk16349_4(X1, X2, X3, X4) | (~esk16220_4(X1, X2, X3, X4)))) | (esk16349_4(true, true, true, true) | (~esk16220_4(true, true, true, true)))),
% 20.39/20.59      inference(quant_inst,[status(thm)],[])).
% 20.39/20.59  tff(120,plain,
% 20.39/20.59      ((~![X4: $i, X3: $i, X2: $i, X1: $i] : (esk16349_4(X1, X2, X3, X4) | (~esk16220_4(X1, X2, X3, X4)))) | esk16349_4(true, true, true, true) | (~esk16220_4(true, true, true, true))),
% 20.39/20.59      inference(modus_ponens,[status(thm)],[119, 118])).
% 20.39/20.59  tff(121,plain,
% 20.39/20.59      (~esk16220_4(true, true, true, true)),
% 20.39/20.59      inference(unit_resolution,[status(thm)],[120, 117, 110])).
% 20.39/20.59  tff(122,plain,
% 20.39/20.59      (^[X4: $i, X3: $i, X2: $i, X1: $i] : refl(((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk17147_4(X1, X2, X3, X4) | (~esk2_0)) <=> ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk17147_4(X1, X2, X3, X4) | (~esk2_0)))),
% 20.39/20.59      inference(bind,[status(th)],[])).
% 20.39/20.59  tff(123,plain,
% 20.39/20.59      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk17147_4(X1, X2, X3, X4) | (~esk2_0)) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk17147_4(X1, X2, X3, X4) | (~esk2_0))),
% 20.39/20.59      inference(quant_intro,[status(thm)],[122])).
% 20.39/20.59  tff(124,plain,
% 20.39/20.59      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk17147_4(X1, X2, X3, X4) | (~esk2_0)) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk17147_4(X1, X2, X3, X4) | (~esk2_0))),
% 20.39/20.59      inference(rewrite,[status(thm)],[])).
% 20.39/20.59  tff(125,plain,
% 20.39/20.59      (^[X4: $i, X3: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~p(X1)) | (~p(X3))) | (~p(X4))) <=> ((~p(X3)) | (~p(X4)) | (~p(X1)))), (((((~p(X1)) | (~p(X3))) | (~p(X4))) | esk17147_4(X1, X2, X3, X4)) <=> (((~p(X3)) | (~p(X4)) | (~p(X1))) | esk17147_4(X1, X2, X3, X4)))), rewrite((((~p(X3)) | (~p(X4)) | (~p(X1))) | esk17147_4(X1, X2, X3, X4)) <=> ((~p(X3)) | (~p(X4)) | (~p(X1)) | esk17147_4(X1, X2, X3, X4))), (((((~p(X1)) | (~p(X3))) | (~p(X4))) | esk17147_4(X1, X2, X3, X4)) <=> ((~p(X3)) | (~p(X4)) | (~p(X1)) | esk17147_4(X1, X2, X3, X4)))), ((((((~p(X1)) | (~p(X3))) | (~p(X4))) | esk17147_4(X1, X2, X3, X4)) | (~esk2_0)) <=> (((~p(X3)) | (~p(X4)) | (~p(X1)) | esk17147_4(X1, X2, X3, X4)) | (~esk2_0)))), rewrite((((~p(X3)) | (~p(X4)) | (~p(X1)) | esk17147_4(X1, X2, X3, X4)) | (~esk2_0)) <=> ((~p(X3)) | (~p(X4)) | (~p(X1)) | esk17147_4(X1, X2, X3, X4) | (~esk2_0))), ((((((~p(X1)) | (~p(X3))) | (~p(X4))) | esk17147_4(X1, X2, X3, X4)) | (~esk2_0)) <=> ((~p(X3)) | (~p(X4)) | (~p(X1)) | esk17147_4(X1, X2, X3, X4) | (~esk2_0)))), (((((((~p(X1)) | (~p(X3))) | (~p(X4))) | esk17147_4(X1, X2, X3, X4)) | (~esk2_0)) | (~p(X2))) <=> (((~p(X3)) | (~p(X4)) | (~p(X1)) | esk17147_4(X1, X2, X3, X4) | (~esk2_0)) | (~p(X2))))), rewrite((((~p(X3)) | (~p(X4)) | (~p(X1)) | esk17147_4(X1, X2, X3, X4) | (~esk2_0)) | (~p(X2))) <=> ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk17147_4(X1, X2, X3, X4) | (~esk2_0))), (((((((~p(X1)) | (~p(X3))) | (~p(X4))) | esk17147_4(X1, X2, X3, X4)) | (~esk2_0)) | (~p(X2))) <=> ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk17147_4(X1, X2, X3, X4) | (~esk2_0))))),
% 20.39/20.60      inference(bind,[status(th)],[])).
% 20.39/20.60  tff(126,plain,
% 20.39/20.60      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((((((~p(X1)) | (~p(X3))) | (~p(X4))) | esk17147_4(X1, X2, X3, X4)) | (~esk2_0)) | (~p(X2))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk17147_4(X1, X2, X3, X4) | (~esk2_0))),
% 20.39/20.60      inference(quant_intro,[status(thm)],[125])).
% 20.39/20.60  tff(127,axiom,(![X4: $i, X3: $i, X2: $i, X1: $i] : ((((((~p(X1)) | (~p(X3))) | (~p(X4))) | esk17147_4(X1, X2, X3, X4)) | (~esk2_0)) | (~p(X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','i_0_34555')).
% 20.39/20.60  tff(128,plain,
% 20.39/20.60      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk17147_4(X1, X2, X3, X4) | (~esk2_0))),
% 20.39/20.60      inference(modus_ponens,[status(thm)],[127, 126])).
% 20.39/20.60  tff(129,plain,
% 20.39/20.60      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk17147_4(X1, X2, X3, X4) | (~esk2_0))),
% 20.39/20.60      inference(modus_ponens,[status(thm)],[128, 124])).
% 20.39/20.60  tff(130,plain,(
% 20.39/20.60      ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk17147_4(X1, X2, X3, X4) | (~esk2_0))),
% 20.39/20.60      inference(skolemize,[status(sab)],[129])).
% 20.39/20.60  tff(131,plain,
% 20.39/20.60      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk17147_4(X1, X2, X3, X4) | (~esk2_0))),
% 20.39/20.60      inference(modus_ponens,[status(thm)],[130, 123])).
% 20.39/20.60  tff(132,plain,
% 20.39/20.60      (esk2_0 <=> esk2_0),
% 20.39/20.60      inference(rewrite,[status(thm)],[])).
% 20.39/20.60  tff(133,axiom,(esk2_0), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','i_0_4556')).
% 20.39/20.60  tff(134,plain,
% 20.39/20.60      (esk2_0),
% 20.39/20.60      inference(modus_ponens,[status(thm)],[133, 132])).
% 20.39/20.60  tff(135,plain,
% 20.39/20.60      (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk17147_4(X1, X2, X3, X4) | (~esk2_0))) | ((~esk2_0) | (~p(true)) | esk17147_4(true, true, true, true))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk17147_4(X1, X2, X3, X4) | (~esk2_0))) | (~esk2_0) | (~p(true)) | esk17147_4(true, true, true, true))),
% 20.39/20.60      inference(rewrite,[status(thm)],[])).
% 20.39/20.60  tff(136,plain,
% 20.39/20.60      (((~p(true)) | (~p(true)) | (~p(true)) | (~p(true)) | esk17147_4(true, true, true, true) | (~esk2_0)) <=> ((~esk2_0) | (~p(true)) | esk17147_4(true, true, true, true))),
% 20.39/20.60      inference(rewrite,[status(thm)],[])).
% 20.39/20.60  tff(137,plain,
% 20.39/20.60      (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk17147_4(X1, X2, X3, X4) | (~esk2_0))) | ((~p(true)) | (~p(true)) | (~p(true)) | (~p(true)) | esk17147_4(true, true, true, true) | (~esk2_0))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk17147_4(X1, X2, X3, X4) | (~esk2_0))) | ((~esk2_0) | (~p(true)) | esk17147_4(true, true, true, true)))),
% 20.39/20.60      inference(monotonicity,[status(thm)],[136])).
% 20.39/20.60  tff(138,plain,
% 20.39/20.60      (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk17147_4(X1, X2, X3, X4) | (~esk2_0))) | ((~p(true)) | (~p(true)) | (~p(true)) | (~p(true)) | esk17147_4(true, true, true, true) | (~esk2_0))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk17147_4(X1, X2, X3, X4) | (~esk2_0))) | (~esk2_0) | (~p(true)) | esk17147_4(true, true, true, true))),
% 20.39/20.60      inference(transitivity,[status(thm)],[137, 135])).
% 20.39/20.60  tff(139,plain,
% 20.39/20.60      ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk17147_4(X1, X2, X3, X4) | (~esk2_0))) | ((~p(true)) | (~p(true)) | (~p(true)) | (~p(true)) | esk17147_4(true, true, true, true) | (~esk2_0))),
% 20.39/20.60      inference(quant_inst,[status(thm)],[])).
% 20.39/20.60  tff(140,plain,
% 20.39/20.60      ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk17147_4(X1, X2, X3, X4) | (~esk2_0))) | (~esk2_0) | (~p(true)) | esk17147_4(true, true, true, true)),
% 20.39/20.60      inference(modus_ponens,[status(thm)],[139, 138])).
% 20.39/20.60  tff(141,plain,
% 20.39/20.60      (esk17147_4(true, true, true, true)),
% 20.39/20.60      inference(unit_resolution,[status(thm)],[140, 134, 131, 4])).
% 20.39/20.60  tff(142,plain,
% 20.39/20.60      (^[X4: $i, X3: $i, X2: $i, X1: $i] : refl(((~esk17147_4(X1, X2, X3, X4)) | esk16222_4(X1, X2, X3, X4)) <=> ((~esk17147_4(X1, X2, X3, X4)) | esk16222_4(X1, X2, X3, X4)))),
% 20.39/20.60      inference(bind,[status(th)],[])).
% 20.39/20.60  tff(143,plain,
% 20.39/20.60      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk17147_4(X1, X2, X3, X4)) | esk16222_4(X1, X2, X3, X4)) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk17147_4(X1, X2, X3, X4)) | esk16222_4(X1, X2, X3, X4))),
% 20.39/20.60      inference(quant_intro,[status(thm)],[142])).
% 20.39/20.60  tff(144,plain,
% 20.39/20.60      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk17147_4(X1, X2, X3, X4)) | esk16222_4(X1, X2, X3, X4)) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk17147_4(X1, X2, X3, X4)) | esk16222_4(X1, X2, X3, X4))),
% 20.39/20.60      inference(rewrite,[status(thm)],[])).
% 20.39/20.60  tff(145,axiom,(![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk17147_4(X1, X2, X3, X4)) | esk16222_4(X1, X2, X3, X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','i_0_45914')).
% 20.39/20.60  tff(146,plain,
% 20.39/20.60      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk17147_4(X1, X2, X3, X4)) | esk16222_4(X1, X2, X3, X4))),
% 20.39/20.60      inference(modus_ponens,[status(thm)],[145, 144])).
% 20.39/20.60  tff(147,plain,(
% 20.39/20.60      ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk17147_4(X1, X2, X3, X4)) | esk16222_4(X1, X2, X3, X4))),
% 20.39/20.60      inference(skolemize,[status(sab)],[146])).
% 20.39/20.60  tff(148,plain,
% 20.39/20.60      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk17147_4(X1, X2, X3, X4)) | esk16222_4(X1, X2, X3, X4))),
% 20.39/20.60      inference(modus_ponens,[status(thm)],[147, 143])).
% 20.39/20.60  tff(149,plain,
% 20.39/20.60      (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk17147_4(X1, X2, X3, X4)) | esk16222_4(X1, X2, X3, X4))) | ((~esk17147_4(true, true, true, true)) | esk16222_4(true, true, true, true))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk17147_4(X1, X2, X3, X4)) | esk16222_4(X1, X2, X3, X4))) | (~esk17147_4(true, true, true, true)) | esk16222_4(true, true, true, true))),
% 20.39/20.60      inference(rewrite,[status(thm)],[])).
% 20.39/20.60  tff(150,plain,
% 20.39/20.60      ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk17147_4(X1, X2, X3, X4)) | esk16222_4(X1, X2, X3, X4))) | ((~esk17147_4(true, true, true, true)) | esk16222_4(true, true, true, true))),
% 20.39/20.60      inference(quant_inst,[status(thm)],[])).
% 20.39/20.60  tff(151,plain,
% 20.39/20.60      ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk17147_4(X1, X2, X3, X4)) | esk16222_4(X1, X2, X3, X4))) | (~esk17147_4(true, true, true, true)) | esk16222_4(true, true, true, true)),
% 20.39/20.60      inference(modus_ponens,[status(thm)],[150, 149])).
% 20.39/20.60  tff(152,plain,
% 20.39/20.60      (esk16222_4(true, true, true, true)),
% 20.39/20.60      inference(unit_resolution,[status(thm)],[151, 148, 141])).
% 20.39/20.60  tff(153,plain,
% 20.39/20.60      (^[X4: $i, X3: $i, X2: $i, X1: $i] : refl(((~esk16222_4(X1, X2, X3, X4)) | esk16220_4(X1, X2, X3, X4) | esk16221_4(X1, X2, X3, X4)) <=> ((~esk16222_4(X1, X2, X3, X4)) | esk16220_4(X1, X2, X3, X4) | esk16221_4(X1, X2, X3, X4)))),
% 20.39/20.60      inference(bind,[status(th)],[])).
% 20.39/20.60  tff(154,plain,
% 20.39/20.60      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16222_4(X1, X2, X3, X4)) | esk16220_4(X1, X2, X3, X4) | esk16221_4(X1, X2, X3, X4)) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16222_4(X1, X2, X3, X4)) | esk16220_4(X1, X2, X3, X4) | esk16221_4(X1, X2, X3, X4))),
% 20.39/20.60      inference(quant_intro,[status(thm)],[153])).
% 20.39/20.60  tff(155,plain,
% 20.39/20.60      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16222_4(X1, X2, X3, X4)) | esk16220_4(X1, X2, X3, X4) | esk16221_4(X1, X2, X3, X4)) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16222_4(X1, X2, X3, X4)) | esk16220_4(X1, X2, X3, X4) | esk16221_4(X1, X2, X3, X4))),
% 20.39/20.60      inference(rewrite,[status(thm)],[])).
% 20.39/20.60  tff(156,plain,
% 20.39/20.60      (^[X4: $i, X3: $i, X2: $i, X1: $i] : trans(monotonicity(rewrite((esk16221_4(X1, X2, X3, X4) | esk16220_4(X1, X2, X3, X4)) <=> (esk16220_4(X1, X2, X3, X4) | esk16221_4(X1, X2, X3, X4))), (((esk16221_4(X1, X2, X3, X4) | esk16220_4(X1, X2, X3, X4)) | (~esk16222_4(X1, X2, X3, X4))) <=> ((esk16220_4(X1, X2, X3, X4) | esk16221_4(X1, X2, X3, X4)) | (~esk16222_4(X1, X2, X3, X4))))), rewrite(((esk16220_4(X1, X2, X3, X4) | esk16221_4(X1, X2, X3, X4)) | (~esk16222_4(X1, X2, X3, X4))) <=> ((~esk16222_4(X1, X2, X3, X4)) | esk16220_4(X1, X2, X3, X4) | esk16221_4(X1, X2, X3, X4))), (((esk16221_4(X1, X2, X3, X4) | esk16220_4(X1, X2, X3, X4)) | (~esk16222_4(X1, X2, X3, X4))) <=> ((~esk16222_4(X1, X2, X3, X4)) | esk16220_4(X1, X2, X3, X4) | esk16221_4(X1, X2, X3, X4))))),
% 20.39/20.60      inference(bind,[status(th)],[])).
% 20.39/20.60  tff(157,plain,
% 20.39/20.60      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((esk16221_4(X1, X2, X3, X4) | esk16220_4(X1, X2, X3, X4)) | (~esk16222_4(X1, X2, X3, X4))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16222_4(X1, X2, X3, X4)) | esk16220_4(X1, X2, X3, X4) | esk16221_4(X1, X2, X3, X4))),
% 20.39/20.60      inference(quant_intro,[status(thm)],[156])).
% 20.39/20.60  tff(158,axiom,(![X4: $i, X3: $i, X2: $i, X1: $i] : ((esk16221_4(X1, X2, X3, X4) | esk16220_4(X1, X2, X3, X4)) | (~esk16222_4(X1, X2, X3, X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','i_0_33259')).
% 20.39/20.60  tff(159,plain,
% 20.39/20.60      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16222_4(X1, X2, X3, X4)) | esk16220_4(X1, X2, X3, X4) | esk16221_4(X1, X2, X3, X4))),
% 20.39/20.60      inference(modus_ponens,[status(thm)],[158, 157])).
% 20.39/20.60  tff(160,plain,
% 20.39/20.60      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16222_4(X1, X2, X3, X4)) | esk16220_4(X1, X2, X3, X4) | esk16221_4(X1, X2, X3, X4))),
% 20.39/20.60      inference(modus_ponens,[status(thm)],[159, 155])).
% 20.39/20.60  tff(161,plain,(
% 20.39/20.60      ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16222_4(X1, X2, X3, X4)) | esk16220_4(X1, X2, X3, X4) | esk16221_4(X1, X2, X3, X4))),
% 20.39/20.60      inference(skolemize,[status(sab)],[160])).
% 20.39/20.60  tff(162,plain,
% 20.39/20.60      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16222_4(X1, X2, X3, X4)) | esk16220_4(X1, X2, X3, X4) | esk16221_4(X1, X2, X3, X4))),
% 20.39/20.60      inference(modus_ponens,[status(thm)],[161, 154])).
% 20.39/20.60  tff(163,plain,
% 20.39/20.60      (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16222_4(X1, X2, X3, X4)) | esk16220_4(X1, X2, X3, X4) | esk16221_4(X1, X2, X3, X4))) | ((~esk16222_4(true, true, true, true)) | esk16220_4(true, true, true, true) | esk16221_4(true, true, true, true))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16222_4(X1, X2, X3, X4)) | esk16220_4(X1, X2, X3, X4) | esk16221_4(X1, X2, X3, X4))) | (~esk16222_4(true, true, true, true)) | esk16220_4(true, true, true, true) | esk16221_4(true, true, true, true))),
% 20.39/20.60      inference(rewrite,[status(thm)],[])).
% 20.39/20.60  tff(164,plain,
% 20.39/20.60      ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16222_4(X1, X2, X3, X4)) | esk16220_4(X1, X2, X3, X4) | esk16221_4(X1, X2, X3, X4))) | ((~esk16222_4(true, true, true, true)) | esk16220_4(true, true, true, true) | esk16221_4(true, true, true, true))),
% 20.39/20.60      inference(quant_inst,[status(thm)],[])).
% 20.39/20.60  tff(165,plain,
% 20.39/20.60      ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16222_4(X1, X2, X3, X4)) | esk16220_4(X1, X2, X3, X4) | esk16221_4(X1, X2, X3, X4))) | (~esk16222_4(true, true, true, true)) | esk16220_4(true, true, true, true) | esk16221_4(true, true, true, true)),
% 20.39/20.60      inference(modus_ponens,[status(thm)],[164, 163])).
% 20.39/20.60  tff(166,plain,
% 20.39/20.60      (esk16220_4(true, true, true, true) | esk16221_4(true, true, true, true)),
% 20.39/20.60      inference(unit_resolution,[status(thm)],[165, 162, 152])).
% 20.39/20.60  tff(167,plain,
% 20.39/20.60      (esk16221_4(true, true, true, true)),
% 20.39/20.60      inference(unit_resolution,[status(thm)],[166, 121])).
% 20.39/20.60  tff(168,plain,
% 20.39/20.60      (^[X4: $i, X3: $i, X2: $i, X1: $i] : refl(((~esk16221_4(X1, X2, X3, X4)) | esk17157_4(X1, X2, X3, X4)) <=> ((~esk16221_4(X1, X2, X3, X4)) | esk17157_4(X1, X2, X3, X4)))),
% 20.39/20.60      inference(bind,[status(th)],[])).
% 20.39/20.60  tff(169,plain,
% 20.39/20.60      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16221_4(X1, X2, X3, X4)) | esk17157_4(X1, X2, X3, X4)) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16221_4(X1, X2, X3, X4)) | esk17157_4(X1, X2, X3, X4))),
% 20.39/20.60      inference(quant_intro,[status(thm)],[168])).
% 20.39/20.60  tff(170,plain,
% 20.39/20.60      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16221_4(X1, X2, X3, X4)) | esk17157_4(X1, X2, X3, X4)) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16221_4(X1, X2, X3, X4)) | esk17157_4(X1, X2, X3, X4))),
% 20.39/20.60      inference(rewrite,[status(thm)],[])).
% 20.39/20.60  tff(171,axiom,(![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16221_4(X1, X2, X3, X4)) | esk17157_4(X1, X2, X3, X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','i_0_41865')).
% 20.39/20.60  tff(172,plain,
% 20.39/20.60      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16221_4(X1, X2, X3, X4)) | esk17157_4(X1, X2, X3, X4))),
% 20.39/20.60      inference(modus_ponens,[status(thm)],[171, 170])).
% 20.39/20.60  tff(173,plain,(
% 20.39/20.60      ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16221_4(X1, X2, X3, X4)) | esk17157_4(X1, X2, X3, X4))),
% 20.39/20.60      inference(skolemize,[status(sab)],[172])).
% 20.39/20.60  tff(174,plain,
% 20.39/20.60      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16221_4(X1, X2, X3, X4)) | esk17157_4(X1, X2, X3, X4))),
% 20.39/20.60      inference(modus_ponens,[status(thm)],[173, 169])).
% 20.39/20.60  tff(175,plain,
% 20.39/20.60      (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16221_4(X1, X2, X3, X4)) | esk17157_4(X1, X2, X3, X4))) | ((~esk16221_4(true, true, true, true)) | esk17157_4(true, true, true, true))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16221_4(X1, X2, X3, X4)) | esk17157_4(X1, X2, X3, X4))) | (~esk16221_4(true, true, true, true)) | esk17157_4(true, true, true, true))),
% 20.39/20.60      inference(rewrite,[status(thm)],[])).
% 20.39/20.60  tff(176,plain,
% 20.39/20.60      ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16221_4(X1, X2, X3, X4)) | esk17157_4(X1, X2, X3, X4))) | ((~esk16221_4(true, true, true, true)) | esk17157_4(true, true, true, true))),
% 20.39/20.60      inference(quant_inst,[status(thm)],[])).
% 20.39/20.60  tff(177,plain,
% 20.39/20.60      ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16221_4(X1, X2, X3, X4)) | esk17157_4(X1, X2, X3, X4))) | (~esk16221_4(true, true, true, true)) | esk17157_4(true, true, true, true)),
% 20.39/20.60      inference(modus_ponens,[status(thm)],[176, 175])).
% 20.39/20.60  tff(178,plain,
% 20.39/20.60      (esk17157_4(true, true, true, true)),
% 20.39/20.60      inference(unit_resolution,[status(thm)],[177, 174, 167])).
% 20.39/20.60  tff(179,plain,
% 20.39/20.60      (^[X4: $i, X3: $i, X2: $i, X1: $i] : refl((esk16569_4(X1, X2, X3, X4) | (~esk16221_4(X1, X2, X3, X4))) <=> (esk16569_4(X1, X2, X3, X4) | (~esk16221_4(X1, X2, X3, X4))))),
% 20.39/20.60      inference(bind,[status(th)],[])).
% 20.39/20.60  tff(180,plain,
% 20.39/20.60      (![X4: $i, X3: $i, X2: $i, X1: $i] : (esk16569_4(X1, X2, X3, X4) | (~esk16221_4(X1, X2, X3, X4))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : (esk16569_4(X1, X2, X3, X4) | (~esk16221_4(X1, X2, X3, X4)))),
% 20.39/20.60      inference(quant_intro,[status(thm)],[179])).
% 20.39/20.60  tff(181,plain,
% 20.39/20.60      (![X4: $i, X3: $i, X2: $i, X1: $i] : (esk16569_4(X1, X2, X3, X4) | (~esk16221_4(X1, X2, X3, X4))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : (esk16569_4(X1, X2, X3, X4) | (~esk16221_4(X1, X2, X3, X4)))),
% 20.39/20.60      inference(rewrite,[status(thm)],[])).
% 20.39/20.60  tff(182,axiom,(![X4: $i, X3: $i, X2: $i, X1: $i] : (esk16569_4(X1, X2, X3, X4) | (~esk16221_4(X1, X2, X3, X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','i_0_40910')).
% 20.39/20.60  tff(183,plain,
% 20.39/20.60      (![X4: $i, X3: $i, X2: $i, X1: $i] : (esk16569_4(X1, X2, X3, X4) | (~esk16221_4(X1, X2, X3, X4)))),
% 20.39/20.60      inference(modus_ponens,[status(thm)],[182, 181])).
% 20.39/20.60  tff(184,plain,(
% 20.39/20.60      ![X4: $i, X3: $i, X2: $i, X1: $i] : (esk16569_4(X1, X2, X3, X4) | (~esk16221_4(X1, X2, X3, X4)))),
% 20.39/20.60      inference(skolemize,[status(sab)],[183])).
% 20.39/20.60  tff(185,plain,
% 20.39/20.60      (![X4: $i, X3: $i, X2: $i, X1: $i] : (esk16569_4(X1, X2, X3, X4) | (~esk16221_4(X1, X2, X3, X4)))),
% 20.39/20.60      inference(modus_ponens,[status(thm)],[184, 180])).
% 20.39/20.60  tff(186,plain,
% 20.39/20.60      (((~![X4: $i, X3: $i, X2: $i, X1: $i] : (esk16569_4(X1, X2, X3, X4) | (~esk16221_4(X1, X2, X3, X4)))) | ((~esk16221_4(true, true, true, true)) | esk16569_4(true, true, true, true))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : (esk16569_4(X1, X2, X3, X4) | (~esk16221_4(X1, X2, X3, X4)))) | (~esk16221_4(true, true, true, true)) | esk16569_4(true, true, true, true))),
% 20.39/20.60      inference(rewrite,[status(thm)],[])).
% 20.39/20.60  tff(187,plain,
% 20.39/20.60      ((esk16569_4(true, true, true, true) | (~esk16221_4(true, true, true, true))) <=> ((~esk16221_4(true, true, true, true)) | esk16569_4(true, true, true, true))),
% 20.39/20.60      inference(rewrite,[status(thm)],[])).
% 20.39/20.60  tff(188,plain,
% 20.39/20.60      (((~![X4: $i, X3: $i, X2: $i, X1: $i] : (esk16569_4(X1, X2, X3, X4) | (~esk16221_4(X1, X2, X3, X4)))) | (esk16569_4(true, true, true, true) | (~esk16221_4(true, true, true, true)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : (esk16569_4(X1, X2, X3, X4) | (~esk16221_4(X1, X2, X3, X4)))) | ((~esk16221_4(true, true, true, true)) | esk16569_4(true, true, true, true)))),
% 20.39/20.60      inference(monotonicity,[status(thm)],[187])).
% 20.39/20.60  tff(189,plain,
% 20.39/20.60      (((~![X4: $i, X3: $i, X2: $i, X1: $i] : (esk16569_4(X1, X2, X3, X4) | (~esk16221_4(X1, X2, X3, X4)))) | (esk16569_4(true, true, true, true) | (~esk16221_4(true, true, true, true)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : (esk16569_4(X1, X2, X3, X4) | (~esk16221_4(X1, X2, X3, X4)))) | (~esk16221_4(true, true, true, true)) | esk16569_4(true, true, true, true))),
% 20.39/20.60      inference(transitivity,[status(thm)],[188, 186])).
% 20.39/20.60  tff(190,plain,
% 20.39/20.60      ((~![X4: $i, X3: $i, X2: $i, X1: $i] : (esk16569_4(X1, X2, X3, X4) | (~esk16221_4(X1, X2, X3, X4)))) | (esk16569_4(true, true, true, true) | (~esk16221_4(true, true, true, true)))),
% 20.39/20.60      inference(quant_inst,[status(thm)],[])).
% 20.39/20.60  tff(191,plain,
% 20.39/20.60      ((~![X4: $i, X3: $i, X2: $i, X1: $i] : (esk16569_4(X1, X2, X3, X4) | (~esk16221_4(X1, X2, X3, X4)))) | (~esk16221_4(true, true, true, true)) | esk16569_4(true, true, true, true)),
% 20.39/20.60      inference(modus_ponens,[status(thm)],[190, 189])).
% 20.39/20.60  tff(192,plain,
% 20.39/20.60      (esk16569_4(true, true, true, true)),
% 20.39/20.60      inference(unit_resolution,[status(thm)],[191, 185, 167])).
% 20.39/20.60  tff(193,plain,
% 20.39/20.60      (^[X4: $i, X3: $i, X2: $i, X1: $i] : refl(((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk17174_4(X1, X2, X3, X4))) <=> ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk17174_4(X1, X2, X3, X4))))),
% 20.39/20.60      inference(bind,[status(th)],[])).
% 20.39/20.60  tff(194,plain,
% 20.39/20.60      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk17174_4(X1, X2, X3, X4))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk17174_4(X1, X2, X3, X4)))),
% 20.39/20.60      inference(quant_intro,[status(thm)],[193])).
% 20.39/20.60  tff(195,plain,
% 20.39/20.60      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk17174_4(X1, X2, X3, X4))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk17174_4(X1, X2, X3, X4)))),
% 20.39/20.60      inference(rewrite,[status(thm)],[])).
% 20.39/20.60  tff(196,plain,
% 20.39/20.60      (^[X4: $i, X3: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~p(X2)) | (~p(X1))) <=> ((~p(X2)) | (~p(X1)))), ((((~p(X2)) | (~p(X1))) | esk1_0) <=> (((~p(X2)) | (~p(X1))) | esk1_0))), rewrite((((~p(X2)) | (~p(X1))) | esk1_0) <=> ((~p(X2)) | (~p(X1)) | esk1_0)), ((((~p(X2)) | (~p(X1))) | esk1_0) <=> ((~p(X2)) | (~p(X1)) | esk1_0))), (((((~p(X2)) | (~p(X1))) | esk1_0) | (~p(X4))) <=> (((~p(X2)) | (~p(X1)) | esk1_0) | (~p(X4))))), rewrite((((~p(X2)) | (~p(X1)) | esk1_0) | (~p(X4))) <=> ((~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0)), (((((~p(X2)) | (~p(X1))) | esk1_0) | (~p(X4))) <=> ((~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0))), ((((((~p(X2)) | (~p(X1))) | esk1_0) | (~p(X4))) | (~esk17174_4(X1, X2, X3, X4))) <=> (((~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0) | (~esk17174_4(X1, X2, X3, X4))))), rewrite((((~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0) | (~esk17174_4(X1, X2, X3, X4))) <=> ((~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk17174_4(X1, X2, X3, X4)))), ((((((~p(X2)) | (~p(X1))) | esk1_0) | (~p(X4))) | (~esk17174_4(X1, X2, X3, X4))) <=> ((~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk17174_4(X1, X2, X3, X4))))), (((((((~p(X2)) | (~p(X1))) | esk1_0) | (~p(X4))) | (~esk17174_4(X1, X2, X3, X4))) | (~p(X3))) <=> (((~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk17174_4(X1, X2, X3, X4))) | (~p(X3))))), rewrite((((~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk17174_4(X1, X2, X3, X4))) | (~p(X3))) <=> ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk17174_4(X1, X2, X3, X4)))), (((((((~p(X2)) | (~p(X1))) | esk1_0) | (~p(X4))) | (~esk17174_4(X1, X2, X3, X4))) | (~p(X3))) <=> ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk17174_4(X1, X2, X3, X4)))))),
% 20.39/20.60      inference(bind,[status(th)],[])).
% 20.39/20.60  tff(197,plain,
% 20.39/20.60      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((((((~p(X2)) | (~p(X1))) | esk1_0) | (~p(X4))) | (~esk17174_4(X1, X2, X3, X4))) | (~p(X3))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk17174_4(X1, X2, X3, X4)))),
% 20.39/20.60      inference(quant_intro,[status(thm)],[196])).
% 20.39/20.60  tff(198,axiom,(![X4: $i, X3: $i, X2: $i, X1: $i] : ((((((~p(X2)) | (~p(X1))) | esk1_0) | (~p(X4))) | (~esk17174_4(X1, X2, X3, X4))) | (~p(X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','i_0_35373')).
% 20.39/20.60  tff(199,plain,
% 20.39/20.60      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk17174_4(X1, X2, X3, X4)))),
% 20.39/20.60      inference(modus_ponens,[status(thm)],[198, 197])).
% 20.39/20.60  tff(200,plain,
% 20.39/20.60      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk17174_4(X1, X2, X3, X4)))),
% 20.39/20.60      inference(modus_ponens,[status(thm)],[199, 195])).
% 20.39/20.60  tff(201,plain,(
% 20.39/20.60      ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk17174_4(X1, X2, X3, X4)))),
% 20.39/20.60      inference(skolemize,[status(sab)],[200])).
% 20.39/20.60  tff(202,plain,
% 20.39/20.60      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk17174_4(X1, X2, X3, X4)))),
% 20.39/20.60      inference(modus_ponens,[status(thm)],[201, 194])).
% 20.39/20.60  tff(203,plain,
% 20.39/20.60      (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk17174_4(X1, X2, X3, X4)))) | (esk1_0 | (~p(true)) | (~esk17174_4(true, true, true, true)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk17174_4(X1, X2, X3, X4)))) | esk1_0 | (~p(true)) | (~esk17174_4(true, true, true, true)))),
% 20.39/20.60      inference(rewrite,[status(thm)],[])).
% 20.39/20.60  tff(204,plain,
% 20.39/20.60      (((~p(true)) | (~p(true)) | (~p(true)) | (~p(true)) | esk1_0 | (~esk17174_4(true, true, true, true))) <=> (esk1_0 | (~p(true)) | (~esk17174_4(true, true, true, true)))),
% 20.39/20.60      inference(rewrite,[status(thm)],[])).
% 20.39/20.60  tff(205,plain,
% 20.39/20.60      (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk17174_4(X1, X2, X3, X4)))) | ((~p(true)) | (~p(true)) | (~p(true)) | (~p(true)) | esk1_0 | (~esk17174_4(true, true, true, true)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk17174_4(X1, X2, X3, X4)))) | (esk1_0 | (~p(true)) | (~esk17174_4(true, true, true, true))))),
% 20.39/20.60      inference(monotonicity,[status(thm)],[204])).
% 20.39/20.60  tff(206,plain,
% 20.39/20.60      (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk17174_4(X1, X2, X3, X4)))) | ((~p(true)) | (~p(true)) | (~p(true)) | (~p(true)) | esk1_0 | (~esk17174_4(true, true, true, true)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk17174_4(X1, X2, X3, X4)))) | esk1_0 | (~p(true)) | (~esk17174_4(true, true, true, true)))),
% 20.39/20.60      inference(transitivity,[status(thm)],[205, 203])).
% 20.39/20.60  tff(207,plain,
% 20.39/20.60      ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk17174_4(X1, X2, X3, X4)))) | ((~p(true)) | (~p(true)) | (~p(true)) | (~p(true)) | esk1_0 | (~esk17174_4(true, true, true, true)))),
% 20.39/20.60      inference(quant_inst,[status(thm)],[])).
% 20.39/20.60  tff(208,plain,
% 20.39/20.60      ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~p(X3)) | (~p(X4)) | (~p(X2)) | (~p(X1)) | esk1_0 | (~esk17174_4(X1, X2, X3, X4)))) | esk1_0 | (~p(true)) | (~esk17174_4(true, true, true, true))),
% 20.39/20.60      inference(modus_ponens,[status(thm)],[207, 206])).
% 20.39/20.60  tff(209,plain,
% 20.39/20.60      (~esk17174_4(true, true, true, true)),
% 20.39/20.60      inference(unit_resolution,[status(thm)],[208, 202, 17, 4])).
% 20.39/20.60  tff(210,plain,
% 20.39/20.60      (^[X4: $i, X3: $i, X2: $i, X1: $i] : refl((esk17174_4(X1, X2, X3, X4) | (~esk16144_4(X1, X2, X3, X4))) <=> (esk17174_4(X1, X2, X3, X4) | (~esk16144_4(X1, X2, X3, X4))))),
% 20.39/20.60      inference(bind,[status(th)],[])).
% 20.39/20.60  tff(211,plain,
% 20.39/20.60      (![X4: $i, X3: $i, X2: $i, X1: $i] : (esk17174_4(X1, X2, X3, X4) | (~esk16144_4(X1, X2, X3, X4))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : (esk17174_4(X1, X2, X3, X4) | (~esk16144_4(X1, X2, X3, X4)))),
% 20.39/20.60      inference(quant_intro,[status(thm)],[210])).
% 20.39/20.60  tff(212,plain,
% 20.39/20.60      (![X4: $i, X3: $i, X2: $i, X1: $i] : (esk17174_4(X1, X2, X3, X4) | (~esk16144_4(X1, X2, X3, X4))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : (esk17174_4(X1, X2, X3, X4) | (~esk16144_4(X1, X2, X3, X4)))),
% 20.39/20.60      inference(rewrite,[status(thm)],[])).
% 20.39/20.60  tff(213,axiom,(![X4: $i, X3: $i, X2: $i, X1: $i] : (esk17174_4(X1, X2, X3, X4) | (~esk16144_4(X1, X2, X3, X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','i_0_21106')).
% 20.39/20.60  tff(214,plain,
% 20.39/20.60      (![X4: $i, X3: $i, X2: $i, X1: $i] : (esk17174_4(X1, X2, X3, X4) | (~esk16144_4(X1, X2, X3, X4)))),
% 20.39/20.60      inference(modus_ponens,[status(thm)],[213, 212])).
% 20.39/20.60  tff(215,plain,(
% 20.39/20.60      ![X4: $i, X3: $i, X2: $i, X1: $i] : (esk17174_4(X1, X2, X3, X4) | (~esk16144_4(X1, X2, X3, X4)))),
% 20.39/20.60      inference(skolemize,[status(sab)],[214])).
% 20.39/20.60  tff(216,plain,
% 20.39/20.60      (![X4: $i, X3: $i, X2: $i, X1: $i] : (esk17174_4(X1, X2, X3, X4) | (~esk16144_4(X1, X2, X3, X4)))),
% 20.39/20.60      inference(modus_ponens,[status(thm)],[215, 211])).
% 20.39/20.60  tff(217,plain,
% 20.39/20.60      (((~![X4: $i, X3: $i, X2: $i, X1: $i] : (esk17174_4(X1, X2, X3, X4) | (~esk16144_4(X1, X2, X3, X4)))) | (esk17174_4(true, true, true, true) | (~esk16144_4(true, true, true, true)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : (esk17174_4(X1, X2, X3, X4) | (~esk16144_4(X1, X2, X3, X4)))) | esk17174_4(true, true, true, true) | (~esk16144_4(true, true, true, true)))),
% 20.39/20.60      inference(rewrite,[status(thm)],[])).
% 20.39/20.60  tff(218,plain,
% 20.39/20.60      ((~![X4: $i, X3: $i, X2: $i, X1: $i] : (esk17174_4(X1, X2, X3, X4) | (~esk16144_4(X1, X2, X3, X4)))) | (esk17174_4(true, true, true, true) | (~esk16144_4(true, true, true, true)))),
% 20.39/20.60      inference(quant_inst,[status(thm)],[])).
% 20.39/20.60  tff(219,plain,
% 20.39/20.60      ((~![X4: $i, X3: $i, X2: $i, X1: $i] : (esk17174_4(X1, X2, X3, X4) | (~esk16144_4(X1, X2, X3, X4)))) | esk17174_4(true, true, true, true) | (~esk16144_4(true, true, true, true))),
% 20.39/20.60      inference(modus_ponens,[status(thm)],[218, 217])).
% 20.39/20.60  tff(220,plain,
% 20.39/20.60      (~esk16144_4(true, true, true, true)),
% 20.39/20.60      inference(unit_resolution,[status(thm)],[219, 216, 209])).
% 20.39/20.60  tff(221,plain,
% 20.39/20.60      (^[X4: $i, X3: $i, X2: $i, X1: $i] : refl(((~esk16143_4(X1, X2, X3, X4)) | esk16144_4(X1, X2, X3, X4)) <=> ((~esk16143_4(X1, X2, X3, X4)) | esk16144_4(X1, X2, X3, X4)))),
% 20.39/20.60      inference(bind,[status(th)],[])).
% 20.39/20.60  tff(222,plain,
% 20.39/20.60      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16143_4(X1, X2, X3, X4)) | esk16144_4(X1, X2, X3, X4)) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16143_4(X1, X2, X3, X4)) | esk16144_4(X1, X2, X3, X4))),
% 20.39/20.60      inference(quant_intro,[status(thm)],[221])).
% 20.39/20.60  tff(223,plain,
% 20.39/20.60      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16143_4(X1, X2, X3, X4)) | esk16144_4(X1, X2, X3, X4)) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16143_4(X1, X2, X3, X4)) | esk16144_4(X1, X2, X3, X4))),
% 20.39/20.60      inference(rewrite,[status(thm)],[])).
% 20.39/20.60  tff(224,axiom,(![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16143_4(X1, X2, X3, X4)) | esk16144_4(X1, X2, X3, X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','i_0_28071')).
% 20.39/20.60  tff(225,plain,
% 20.39/20.60      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16143_4(X1, X2, X3, X4)) | esk16144_4(X1, X2, X3, X4))),
% 20.39/20.60      inference(modus_ponens,[status(thm)],[224, 223])).
% 20.39/20.60  tff(226,plain,(
% 20.39/20.60      ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16143_4(X1, X2, X3, X4)) | esk16144_4(X1, X2, X3, X4))),
% 20.39/20.60      inference(skolemize,[status(sab)],[225])).
% 20.39/20.60  tff(227,plain,
% 20.39/20.60      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16143_4(X1, X2, X3, X4)) | esk16144_4(X1, X2, X3, X4))),
% 20.39/20.60      inference(modus_ponens,[status(thm)],[226, 222])).
% 20.39/20.60  tff(228,plain,
% 20.39/20.60      (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16143_4(X1, X2, X3, X4)) | esk16144_4(X1, X2, X3, X4))) | ((~esk16143_4(true, true, true, true)) | esk16144_4(true, true, true, true))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16143_4(X1, X2, X3, X4)) | esk16144_4(X1, X2, X3, X4))) | (~esk16143_4(true, true, true, true)) | esk16144_4(true, true, true, true))),
% 20.39/20.60      inference(rewrite,[status(thm)],[])).
% 20.39/20.60  tff(229,plain,
% 20.39/20.60      ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16143_4(X1, X2, X3, X4)) | esk16144_4(X1, X2, X3, X4))) | ((~esk16143_4(true, true, true, true)) | esk16144_4(true, true, true, true))),
% 20.39/20.60      inference(quant_inst,[status(thm)],[])).
% 20.39/20.60  tff(230,plain,
% 20.39/20.60      ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16143_4(X1, X2, X3, X4)) | esk16144_4(X1, X2, X3, X4))) | (~esk16143_4(true, true, true, true)) | esk16144_4(true, true, true, true)),
% 20.39/20.60      inference(modus_ponens,[status(thm)],[229, 228])).
% 20.39/20.60  tff(231,plain,
% 20.39/20.60      (~esk16143_4(true, true, true, true)),
% 20.39/20.60      inference(unit_resolution,[status(thm)],[230, 227, 220])).
% 20.39/20.60  tff(232,plain,
% 20.39/20.60      (^[X4: $i, X3: $i, X2: $i, X1: $i] : refl(((~esk16569_4(X1, X2, X3, X4)) | (~esk17157_4(X1, X2, X3, X4)) | esk16143_4(X1, X2, X3, X4)) <=> ((~esk16569_4(X1, X2, X3, X4)) | (~esk17157_4(X1, X2, X3, X4)) | esk16143_4(X1, X2, X3, X4)))),
% 20.39/20.60      inference(bind,[status(th)],[])).
% 20.39/20.60  tff(233,plain,
% 20.39/20.60      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16569_4(X1, X2, X3, X4)) | (~esk17157_4(X1, X2, X3, X4)) | esk16143_4(X1, X2, X3, X4)) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16569_4(X1, X2, X3, X4)) | (~esk17157_4(X1, X2, X3, X4)) | esk16143_4(X1, X2, X3, X4))),
% 20.39/20.60      inference(quant_intro,[status(thm)],[232])).
% 20.39/20.60  tff(234,plain,
% 20.39/20.60      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16569_4(X1, X2, X3, X4)) | (~esk17157_4(X1, X2, X3, X4)) | esk16143_4(X1, X2, X3, X4)) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16569_4(X1, X2, X3, X4)) | (~esk17157_4(X1, X2, X3, X4)) | esk16143_4(X1, X2, X3, X4))),
% 20.39/20.60      inference(rewrite,[status(thm)],[])).
% 20.39/20.60  tff(235,plain,
% 20.39/20.60      (^[X4: $i, X3: $i, X2: $i, X1: $i] : rewrite((((~esk16569_4(X1, X2, X3, X4)) | esk16143_4(X1, X2, X3, X4)) | (~esk17157_4(X1, X2, X3, X4))) <=> ((~esk16569_4(X1, X2, X3, X4)) | (~esk17157_4(X1, X2, X3, X4)) | esk16143_4(X1, X2, X3, X4)))),
% 20.39/20.60      inference(bind,[status(th)],[])).
% 20.39/20.60  tff(236,plain,
% 20.39/20.60      (![X4: $i, X3: $i, X2: $i, X1: $i] : (((~esk16569_4(X1, X2, X3, X4)) | esk16143_4(X1, X2, X3, X4)) | (~esk17157_4(X1, X2, X3, X4))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16569_4(X1, X2, X3, X4)) | (~esk17157_4(X1, X2, X3, X4)) | esk16143_4(X1, X2, X3, X4))),
% 20.39/20.60      inference(quant_intro,[status(thm)],[235])).
% 20.39/20.60  tff(237,axiom,(![X4: $i, X3: $i, X2: $i, X1: $i] : (((~esk16569_4(X1, X2, X3, X4)) | esk16143_4(X1, X2, X3, X4)) | (~esk17157_4(X1, X2, X3, X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','i_0_21412')).
% 20.39/20.60  tff(238,plain,
% 20.39/20.60      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16569_4(X1, X2, X3, X4)) | (~esk17157_4(X1, X2, X3, X4)) | esk16143_4(X1, X2, X3, X4))),
% 20.39/20.60      inference(modus_ponens,[status(thm)],[237, 236])).
% 20.39/20.60  tff(239,plain,
% 20.39/20.60      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16569_4(X1, X2, X3, X4)) | (~esk17157_4(X1, X2, X3, X4)) | esk16143_4(X1, X2, X3, X4))),
% 20.39/20.60      inference(modus_ponens,[status(thm)],[238, 234])).
% 20.39/20.60  tff(240,plain,(
% 20.39/20.60      ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16569_4(X1, X2, X3, X4)) | (~esk17157_4(X1, X2, X3, X4)) | esk16143_4(X1, X2, X3, X4))),
% 20.39/20.60      inference(skolemize,[status(sab)],[239])).
% 20.39/20.60  tff(241,plain,
% 20.39/20.60      (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16569_4(X1, X2, X3, X4)) | (~esk17157_4(X1, X2, X3, X4)) | esk16143_4(X1, X2, X3, X4))),
% 20.39/20.60      inference(modus_ponens,[status(thm)],[240, 233])).
% 20.39/20.60  tff(242,plain,
% 20.39/20.60      (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16569_4(X1, X2, X3, X4)) | (~esk17157_4(X1, X2, X3, X4)) | esk16143_4(X1, X2, X3, X4))) | ((~esk16569_4(true, true, true, true)) | (~esk17157_4(true, true, true, true)) | esk16143_4(true, true, true, true))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16569_4(X1, X2, X3, X4)) | (~esk17157_4(X1, X2, X3, X4)) | esk16143_4(X1, X2, X3, X4))) | (~esk16569_4(true, true, true, true)) | (~esk17157_4(true, true, true, true)) | esk16143_4(true, true, true, true))),
% 20.39/20.60      inference(rewrite,[status(thm)],[])).
% 20.39/20.60  tff(243,plain,
% 20.39/20.60      ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16569_4(X1, X2, X3, X4)) | (~esk17157_4(X1, X2, X3, X4)) | esk16143_4(X1, X2, X3, X4))) | ((~esk16569_4(true, true, true, true)) | (~esk17157_4(true, true, true, true)) | esk16143_4(true, true, true, true))),
% 20.39/20.60      inference(quant_inst,[status(thm)],[])).
% 20.39/20.60  tff(244,plain,
% 20.39/20.60      ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~esk16569_4(X1, X2, X3, X4)) | (~esk17157_4(X1, X2, X3, X4)) | esk16143_4(X1, X2, X3, X4))) | (~esk16569_4(true, true, true, true)) | (~esk17157_4(true, true, true, true)) | esk16143_4(true, true, true, true)),
% 20.39/20.60      inference(modus_ponens,[status(thm)],[243, 242])).
% 20.39/20.60  tff(245,plain,
% 20.39/20.60      ((~esk16569_4(true, true, true, true)) | (~esk17157_4(true, true, true, true))),
% 20.39/20.60      inference(unit_resolution,[status(thm)],[244, 241, 231])).
% 20.39/20.60  tff(246,plain,
% 21.72/21.90      ($false),
% 21.72/21.90      inference(unit_resolution,[status(thm)],[245, 192, 178])).
% 21.72/21.90  % SZS output end Proof
% 21.78/21.96  % E exiting
%------------------------------------------------------------------------------