Z3---4.15.1.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : SYO663-1 : TPTP v9.0.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp
% Command  : run_E %s %d THM

% Computer : n001.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 05:42:03 AM UTC 2025

% Result   : Unsatisfiable 0.20s 0.44s
% Output   : Proof 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYO663-1 : TPTP v9.0.0. Released v7.3.0.
% 0.07/0.12  % Command    : run_E %s %d THM
% 0.11/0.33  % Computer : n001.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   : Fri Jun 20 13:26:20 EDT 2025
% 0.11/0.33  % CPUTime    : 
% 0.20/0.44  % SZS status Unsatisfiable
% 0.20/0.44  % SZS output start Proof
% 0.20/0.44  tff(tptp_fun__E__type, type, (
% 0.20/0.44     tptp_fun__E_: ( $i * $i ) > $o)).
% 0.20/0.44  tff(f_type, type, (
% 0.20/0.44     f: $i > $i)).
% 0.20/0.44  tff(suc_type, type, (
% 0.20/0.44     suc: $i > $i)).
% 0.20/0.44  tff(z_type, type, (
% 0.20/0.44     z: $i)).
% 0.20/0.44  tff(iLEQ_type, type, (
% 0.20/0.44     iLEQ: ( $i * $i ) > $o)).
% 0.20/0.44  tff(s_type, type, (
% 0.20/0.44     s: $i > $i)).
% 0.20/0.44  tff(tptp_fun__0__type, type, (
% 0.20/0.44     tptp_fun__0_: $i)).
% 0.20/0.44  tff(tptp_fun__LE__type, type, (
% 0.20/0.44     tptp_fun__LE_: ( $i * $i ) > $o)).
% 0.20/0.44  tff(1,assumption,(~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))), introduced(assumption)).
% 0.20/0.44  tff(2,assumption,(~tptp_fun__LE_(f(suc(suc(suc(z)))), s(s(|'0'|)))), introduced(assumption)).
% 0.20/0.44  tff(3,plain,
% 0.20/0.44      (^[A: $i] : refl(tptp_fun__LE_(f(A), s(s(|'0'|))) <=> tptp_fun__LE_(f(A), s(s(|'0'|))))),
% 0.20/0.44      inference(bind,[status(th)],[])).
% 0.20/0.44  tff(4,plain,
% 0.20/0.44      (![A: $i] : tptp_fun__LE_(f(A), s(s(|'0'|))) <=> ![A: $i] : tptp_fun__LE_(f(A), s(s(|'0'|)))),
% 0.20/0.44      inference(quant_intro,[status(thm)],[3])).
% 0.20/0.44  tff(5,plain,
% 0.20/0.44      (![A: $i] : tptp_fun__LE_(f(A), s(s(|'0'|))) <=> ![A: $i] : tptp_fun__LE_(f(A), s(s(|'0'|)))),
% 0.20/0.45      inference(rewrite,[status(thm)],[])).
% 0.20/0.45  tff(6,axiom,(![A: $i] : tptp_fun__LE_(f(A), s(s(|'0'|)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_216')).
% 0.20/0.45  tff(7,plain,
% 0.20/0.45      (![A: $i] : tptp_fun__LE_(f(A), s(s(|'0'|)))),
% 0.20/0.45      inference(modus_ponens,[status(thm)],[6, 5])).
% 0.20/0.45  tff(8,plain,(
% 0.20/0.45      ![A: $i] : tptp_fun__LE_(f(A), s(s(|'0'|)))),
% 0.20/0.45      inference(skolemize,[status(sab)],[7])).
% 0.20/0.45  tff(9,plain,
% 0.20/0.45      (![A: $i] : tptp_fun__LE_(f(A), s(s(|'0'|)))),
% 0.20/0.45      inference(modus_ponens,[status(thm)],[8, 4])).
% 0.20/0.45  tff(10,plain,
% 0.20/0.45      ((~![A: $i] : tptp_fun__LE_(f(A), s(s(|'0'|)))) | tptp_fun__LE_(f(suc(suc(suc(z)))), s(s(|'0'|)))),
% 0.20/0.45      inference(quant_inst,[status(thm)],[])).
% 0.20/0.45  tff(11,plain,
% 0.20/0.45      ($false),
% 0.20/0.45      inference(unit_resolution,[status(thm)],[10, 9, 2])).
% 0.20/0.45  tff(12,plain,(tptp_fun__LE_(f(suc(suc(suc(z)))), s(s(|'0'|)))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.45  tff(13,assumption,(~tptp_fun__LE_(f(suc(z)), s(|'0'|))), introduced(assumption)).
% 0.20/0.45  tff(14,plain,
% 0.20/0.45      (^[B_23: $i] : refl((tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23))))) <=> (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23))))))),
% 0.20/0.45      inference(bind,[status(th)],[])).
% 0.20/0.45  tff(15,plain,
% 0.20/0.45      (![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23))))) <=> ![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23)))))),
% 0.20/0.45      inference(quant_intro,[status(thm)],[14])).
% 0.20/0.45  tff(16,plain,
% 0.20/0.45      (![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23))))) <=> ![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23)))))),
% 0.20/0.45      inference(rewrite,[status(thm)],[])).
% 0.20/0.45  tff(17,plain,
% 0.20/0.45      (^[B_23: $i] : rewrite((((~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23))))) | tptp_fun__LE_(f(B_23), s(|'0'|))) <=> (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23))))))),
% 0.20/0.45      inference(bind,[status(th)],[])).
% 0.20/0.45  tff(18,plain,
% 0.20/0.45      (![B_23: $i] : (((~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23))))) | tptp_fun__LE_(f(B_23), s(|'0'|))) <=> ![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23)))))),
% 0.20/0.45      inference(quant_intro,[status(thm)],[17])).
% 0.20/0.45  tff(19,axiom,(![B_23: $i] : (((~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23))))) | tptp_fun__LE_(f(B_23), s(|'0'|)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_312')).
% 0.20/0.45  tff(20,plain,
% 0.20/0.45      (![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23)))))),
% 0.20/0.45      inference(modus_ponens,[status(thm)],[19, 18])).
% 0.20/0.45  tff(21,plain,
% 0.20/0.45      (![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23)))))),
% 0.20/0.45      inference(modus_ponens,[status(thm)],[20, 16])).
% 0.20/0.45  tff(22,plain,(
% 0.20/0.45      ![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23)))))),
% 0.20/0.45      inference(skolemize,[status(sab)],[21])).
% 0.20/0.45  tff(23,plain,
% 0.20/0.45      (![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23)))))),
% 0.20/0.45      inference(modus_ponens,[status(thm)],[22, 15])).
% 0.20/0.45  tff(24,plain,
% 0.20/0.45      (((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23)))))) | (tptp_fun__LE_(f(suc(z)), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(suc(z)))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z))))))) <=> ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23)))))) | tptp_fun__LE_(f(suc(z)), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(suc(z)))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z))))))),
% 0.20/0.45      inference(rewrite,[status(thm)],[])).
% 0.20/0.45  tff(25,plain,
% 0.20/0.45      ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23)))))) | (tptp_fun__LE_(f(suc(z)), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(suc(z)))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z))))))),
% 0.20/0.45      inference(quant_inst,[status(thm)],[])).
% 0.20/0.45  tff(26,plain,
% 0.20/0.45      ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23)))))) | tptp_fun__LE_(f(suc(z)), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(suc(z)))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))),
% 0.20/0.45      inference(modus_ponens,[status(thm)],[25, 24])).
% 0.20/0.45  tff(27,plain,
% 0.20/0.45      (tptp_fun__LE_(f(suc(z)), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(suc(z)))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))),
% 0.20/0.45      inference(unit_resolution,[status(thm)],[26, 23])).
% 0.20/0.45  tff(28,plain,
% 0.20/0.45      (tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))),
% 0.20/0.45      inference(unit_resolution,[status(thm)],[27, 13, 12])).
% 0.20/0.45  tff(29,assumption,(~tptp_fun__LE_(f(suc(z)), s(s(|'0'|)))), introduced(assumption)).
% 0.20/0.45  tff(30,plain,
% 0.20/0.45      ((~![A: $i] : tptp_fun__LE_(f(A), s(s(|'0'|)))) | tptp_fun__LE_(f(suc(z)), s(s(|'0'|)))),
% 0.20/0.45      inference(quant_inst,[status(thm)],[])).
% 0.20/0.45  tff(31,plain,
% 0.20/0.45      ($false),
% 0.20/0.45      inference(unit_resolution,[status(thm)],[30, 9, 29])).
% 0.20/0.45  tff(32,plain,(tptp_fun__LE_(f(suc(z)), s(s(|'0'|)))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.45  tff(33,plain,
% 0.20/0.45      (^[B_23: $i] : refl((tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23))) <=> (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23))))),
% 0.20/0.45      inference(bind,[status(th)],[])).
% 0.20/0.45  tff(34,plain,
% 0.20/0.45      (![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23))) <=> ![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23)))),
% 0.20/0.45      inference(quant_intro,[status(thm)],[33])).
% 0.20/0.45  tff(35,plain,
% 0.20/0.45      (![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23))) <=> ![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23)))),
% 0.20/0.45      inference(rewrite,[status(thm)],[])).
% 0.20/0.45  tff(36,plain,
% 0.20/0.45      (^[B_23: $i] : rewrite((((~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23))) | tptp_fun__LE_(f(B_23), s(|'0'|))) <=> (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23))))),
% 0.20/0.45      inference(bind,[status(th)],[])).
% 0.20/0.45  tff(37,plain,
% 0.20/0.45      (![B_23: $i] : (((~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23))) | tptp_fun__LE_(f(B_23), s(|'0'|))) <=> ![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23)))),
% 0.20/0.45      inference(quant_intro,[status(thm)],[36])).
% 0.20/0.45  tff(38,axiom,(![B_23: $i] : (((~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23))) | tptp_fun__LE_(f(B_23), s(|'0'|)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_327')).
% 0.20/0.45  tff(39,plain,
% 0.20/0.45      (![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23)))),
% 0.20/0.45      inference(modus_ponens,[status(thm)],[38, 37])).
% 0.20/0.45  tff(40,plain,
% 0.20/0.45      (![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23)))),
% 0.20/0.45      inference(modus_ponens,[status(thm)],[39, 35])).
% 0.20/0.45  tff(41,plain,(
% 0.20/0.45      ![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23)))),
% 0.20/0.45      inference(skolemize,[status(sab)],[40])).
% 0.20/0.45  tff(42,plain,
% 0.20/0.45      (![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23)))),
% 0.20/0.45      inference(modus_ponens,[status(thm)],[41, 34])).
% 0.20/0.45  tff(43,plain,
% 0.20/0.45      (((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23)))) | ((~tptp_fun__LE_(f(suc(z)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(z))) | tptp_fun__LE_(f(suc(z)), s(|'0'|)))) <=> ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23)))) | (~tptp_fun__LE_(f(suc(z)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(z))) | tptp_fun__LE_(f(suc(z)), s(|'0'|)))),
% 0.20/0.45      inference(rewrite,[status(thm)],[])).
% 0.20/0.45  tff(44,plain,
% 0.20/0.45      ((tptp_fun__LE_(f(suc(z)), s(|'0'|)) | (~tptp_fun__LE_(f(suc(z)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(z)))) <=> ((~tptp_fun__LE_(f(suc(z)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(z))) | tptp_fun__LE_(f(suc(z)), s(|'0'|)))),
% 0.20/0.45      inference(rewrite,[status(thm)],[])).
% 0.20/0.45  tff(45,plain,
% 0.20/0.45      (((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23)))) | (tptp_fun__LE_(f(suc(z)), s(|'0'|)) | (~tptp_fun__LE_(f(suc(z)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(z))))) <=> ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23)))) | ((~tptp_fun__LE_(f(suc(z)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(z))) | tptp_fun__LE_(f(suc(z)), s(|'0'|))))),
% 0.20/0.45      inference(monotonicity,[status(thm)],[44])).
% 0.20/0.45  tff(46,plain,
% 0.20/0.45      (((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23)))) | (tptp_fun__LE_(f(suc(z)), s(|'0'|)) | (~tptp_fun__LE_(f(suc(z)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(z))))) <=> ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23)))) | (~tptp_fun__LE_(f(suc(z)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(z))) | tptp_fun__LE_(f(suc(z)), s(|'0'|)))),
% 0.20/0.45      inference(transitivity,[status(thm)],[45, 43])).
% 0.20/0.45  tff(47,plain,
% 0.20/0.45      ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23)))) | (tptp_fun__LE_(f(suc(z)), s(|'0'|)) | (~tptp_fun__LE_(f(suc(z)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(z))))),
% 0.20/0.45      inference(quant_inst,[status(thm)],[])).
% 0.20/0.45  tff(48,plain,
% 0.20/0.45      ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23)))) | (~tptp_fun__LE_(f(suc(z)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(z))) | tptp_fun__LE_(f(suc(z)), s(|'0'|))),
% 0.20/0.45      inference(modus_ponens,[status(thm)],[47, 46])).
% 0.20/0.45  tff(49,plain,
% 0.20/0.45      (tptp_fun__E_(s(|'0'|), f(suc(z))) | tptp_fun__LE_(f(suc(z)), s(|'0'|))),
% 0.20/0.45      inference(unit_resolution,[status(thm)],[48, 42, 32])).
% 0.20/0.45  tff(50,plain,
% 0.20/0.45      (tptp_fun__E_(s(|'0'|), f(suc(z)))),
% 0.20/0.45      inference(unit_resolution,[status(thm)],[49, 13])).
% 0.20/0.45  tff(51,assumption,(~tptp_fun__LE_(f(suc(suc(z))), s(s(|'0'|)))), introduced(assumption)).
% 0.20/0.45  tff(52,plain,
% 0.20/0.45      ((~![A: $i] : tptp_fun__LE_(f(A), s(s(|'0'|)))) | tptp_fun__LE_(f(suc(suc(z))), s(s(|'0'|)))),
% 0.20/0.45      inference(quant_inst,[status(thm)],[])).
% 0.20/0.45  tff(53,plain,
% 0.20/0.45      ($false),
% 0.20/0.45      inference(unit_resolution,[status(thm)],[52, 9, 51])).
% 0.20/0.45  tff(54,plain,(tptp_fun__LE_(f(suc(suc(z))), s(s(|'0'|)))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.45  tff(55,plain,
% 0.20/0.45      (^[B_23: $i] : refl((tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23)))) <=> (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23)))))),
% 0.20/0.45      inference(bind,[status(th)],[])).
% 0.20/0.45  tff(56,plain,
% 0.20/0.45      (![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23)))) <=> ![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23))))),
% 0.20/0.45      inference(quant_intro,[status(thm)],[55])).
% 0.20/0.45  tff(57,plain,
% 0.20/0.45      (![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23)))) <=> ![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23))))),
% 0.20/0.45      inference(rewrite,[status(thm)],[])).
% 0.20/0.45  tff(58,plain,
% 0.20/0.45      (^[B_23: $i] : rewrite((((~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23)))) | tptp_fun__LE_(f(B_23), s(|'0'|))) <=> (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23)))))),
% 0.20/0.45      inference(bind,[status(th)],[])).
% 0.20/0.45  tff(59,plain,
% 0.20/0.45      (![B_23: $i] : (((~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23)))) | tptp_fun__LE_(f(B_23), s(|'0'|))) <=> ![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23))))),
% 0.20/0.45      inference(quant_intro,[status(thm)],[58])).
% 0.20/0.45  tff(60,axiom,(![B_23: $i] : (((~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23)))) | tptp_fun__LE_(f(B_23), s(|'0'|)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_564')).
% 0.20/0.45  tff(61,plain,
% 0.20/0.45      (![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23))))),
% 0.20/0.45      inference(modus_ponens,[status(thm)],[60, 59])).
% 0.20/0.45  tff(62,plain,
% 0.20/0.45      (![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23))))),
% 0.20/0.45      inference(modus_ponens,[status(thm)],[61, 57])).
% 0.20/0.45  tff(63,plain,(
% 0.20/0.45      ![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23))))),
% 0.20/0.45      inference(skolemize,[status(sab)],[62])).
% 0.20/0.45  tff(64,plain,
% 0.20/0.45      (![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23))))),
% 0.20/0.45      inference(modus_ponens,[status(thm)],[63, 56])).
% 0.20/0.45  tff(65,plain,
% 0.20/0.45      (((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23))))) | (tptp_fun__LE_(f(suc(z)), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(z))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(z)))))) <=> ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23))))) | tptp_fun__LE_(f(suc(z)), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(z))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(z)))))),
% 0.20/0.45      inference(rewrite,[status(thm)],[])).
% 0.20/0.45  tff(66,plain,
% 0.20/0.45      ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23))))) | (tptp_fun__LE_(f(suc(z)), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(z))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(z)))))),
% 0.20/0.46      inference(quant_inst,[status(thm)],[])).
% 0.20/0.46  tff(67,plain,
% 0.20/0.46      ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23))))) | tptp_fun__LE_(f(suc(z)), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(z))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(z))))),
% 0.20/0.46      inference(modus_ponens,[status(thm)],[66, 65])).
% 0.20/0.46  tff(68,plain,
% 0.20/0.46      (tptp_fun__LE_(f(suc(z)), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(suc(suc(z))))),
% 0.20/0.46      inference(unit_resolution,[status(thm)],[67, 64, 54])).
% 0.20/0.46  tff(69,plain,
% 0.20/0.46      (tptp_fun__E_(s(|'0'|), f(suc(suc(z))))),
% 0.20/0.46      inference(unit_resolution,[status(thm)],[68, 13])).
% 0.20/0.46  tff(70,assumption,(tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))), introduced(assumption)).
% 0.20/0.46  tff(71,assumption,(tptp_fun__E_(s(|'0'|), f(suc(z)))), introduced(assumption)).
% 0.20/0.46  tff(72,assumption,(tptp_fun__E_(s(|'0'|), f(suc(suc(z))))), introduced(assumption)).
% 0.20/0.46  tff(73,assumption,(~iLEQ(suc(suc(z)), suc(suc(z)))), introduced(assumption)).
% 0.20/0.46  tff(74,plain,
% 0.20/0.46      (^[A_1: $i] : refl((iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) <=> (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))))),
% 0.20/0.46      inference(bind,[status(th)],[])).
% 0.20/0.46  tff(75,plain,
% 0.20/0.46      (![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) <=> ![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))),
% 0.20/0.46      inference(quant_intro,[status(thm)],[74])).
% 0.20/0.46  tff(76,plain,
% 0.20/0.46      (![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) <=> ![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))),
% 0.20/0.46      inference(rewrite,[status(thm)],[])).
% 0.20/0.46  tff(77,plain,
% 0.20/0.46      (^[A_1: $i] : trans(monotonicity(rewrite((((~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) <=> (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))), (((((~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1))) <=> ((tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | iLEQ(suc(A_1), suc(A_1))))), rewrite(((tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | iLEQ(suc(A_1), suc(A_1))) <=> (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))), (((((~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1))) <=> (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))))),
% 0.20/0.46      inference(bind,[status(th)],[])).
% 0.20/0.46  tff(78,plain,
% 0.20/0.46      (![A_1: $i] : ((((~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1))) <=> ![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))),
% 0.20/0.46      inference(quant_intro,[status(thm)],[77])).
% 0.20/0.46  tff(79,axiom,(![A_1: $i] : ((((~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_268')).
% 0.20/0.46  tff(80,plain,
% 0.20/0.46      (![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))),
% 0.20/0.46      inference(modus_ponens,[status(thm)],[79, 78])).
% 0.20/0.46  tff(81,plain,
% 0.20/0.46      (![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))),
% 0.20/0.46      inference(modus_ponens,[status(thm)],[80, 76])).
% 0.20/0.46  tff(82,plain,(
% 0.20/0.46      ![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))),
% 0.20/0.46      inference(skolemize,[status(sab)],[81])).
% 0.20/0.46  tff(83,plain,
% 0.20/0.46      (![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))),
% 0.20/0.46      inference(modus_ponens,[status(thm)],[82, 75])).
% 0.20/0.46  tff(84,plain,
% 0.20/0.46      (((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (iLEQ(suc(suc(z)), suc(suc(z))) | tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))))) <=> ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | iLEQ(suc(suc(z)), suc(suc(z))) | tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))))),
% 0.20/0.46      inference(rewrite,[status(thm)],[])).
% 0.20/0.46  tff(85,plain,
% 0.20/0.46      ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (iLEQ(suc(suc(z)), suc(suc(z))) | tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))))),
% 0.20/0.46      inference(quant_inst,[status(thm)],[])).
% 0.20/0.46  tff(86,plain,
% 0.20/0.46      ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | iLEQ(suc(suc(z)), suc(suc(z))) | tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z))))),
% 0.20/0.46      inference(modus_ponens,[status(thm)],[85, 84])).
% 0.20/0.46  tff(87,plain,
% 0.20/0.46      (iLEQ(suc(suc(z)), suc(suc(z))) | tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z))))),
% 0.20/0.46      inference(unit_resolution,[status(thm)],[86, 83])).
% 0.20/0.46  tff(88,plain,
% 0.20/0.46      (tptp_fun__E_(f(suc(z)), f(suc(suc(z))))),
% 0.20/0.46      inference(unit_resolution,[status(thm)],[87, 73, 72, 71])).
% 0.20/0.46  tff(89,plain,
% 0.20/0.46      (^[A_1: $i] : refl((iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) <=> (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))))),
% 0.20/0.46      inference(bind,[status(th)],[])).
% 0.20/0.46  tff(90,plain,
% 0.20/0.46      (![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) <=> ![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))),
% 0.20/0.46      inference(quant_intro,[status(thm)],[89])).
% 0.20/0.46  tff(91,plain,
% 0.20/0.46      (![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) <=> ![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))),
% 0.20/0.46      inference(rewrite,[status(thm)],[])).
% 0.20/0.46  tff(92,plain,
% 0.20/0.46      (^[A_1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) <=> ((~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))))), ((((~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) <=> (((~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))))), rewrite((((~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) <=> ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))))), ((((~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) <=> ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))))), (((((~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) <=> (((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))))), rewrite((((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) <=> ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))), (((((~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) <=> ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))))), ((((((~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | iLEQ(suc(A_1), suc(A_1))) <=> (((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | iLEQ(suc(A_1), suc(A_1))))), rewrite((((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | iLEQ(suc(A_1), suc(A_1))) <=> (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))), ((((((~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | iLEQ(suc(A_1), suc(A_1))) <=> (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))))),
% 0.20/0.46      inference(bind,[status(th)],[])).
% 0.20/0.46  tff(93,plain,
% 0.20/0.46      (![A_1: $i] : (((((~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | iLEQ(suc(A_1), suc(A_1))) <=> ![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))),
% 0.20/0.46      inference(quant_intro,[status(thm)],[92])).
% 0.20/0.46  tff(94,axiom,(![A_1: $i] : (((((~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | iLEQ(suc(A_1), suc(A_1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_55')).
% 0.20/0.46  tff(95,plain,
% 0.20/0.46      (![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))),
% 0.20/0.46      inference(modus_ponens,[status(thm)],[94, 93])).
% 0.20/0.46  tff(96,plain,
% 0.20/0.46      (![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))),
% 0.20/0.46      inference(modus_ponens,[status(thm)],[95, 91])).
% 0.20/0.46  tff(97,plain,(
% 0.20/0.46      ![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))),
% 0.20/0.46      inference(skolemize,[status(sab)],[96])).
% 0.20/0.46  tff(98,plain,
% 0.20/0.46      (![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))),
% 0.20/0.46      inference(modus_ponens,[status(thm)],[97, 90])).
% 0.20/0.46  tff(99,plain,
% 0.20/0.46      (((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (iLEQ(suc(suc(z)), suc(suc(z))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))))) <=> ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | iLEQ(suc(suc(z)), suc(suc(z))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))))),
% 0.20/0.46      inference(rewrite,[status(thm)],[])).
% 0.20/0.46  tff(100,plain,
% 0.20/0.46      ((iLEQ(suc(suc(z)), suc(suc(z))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z))))) <=> (iLEQ(suc(suc(z)), suc(suc(z))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))))),
% 0.20/0.46      inference(rewrite,[status(thm)],[])).
% 0.20/0.46  tff(101,plain,
% 0.20/0.46      (((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (iLEQ(suc(suc(z)), suc(suc(z))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))))) <=> ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (iLEQ(suc(suc(z)), suc(suc(z))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z))))))))),
% 0.20/0.46      inference(monotonicity,[status(thm)],[100])).
% 0.20/0.46  tff(102,plain,
% 0.20/0.46      (((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (iLEQ(suc(suc(z)), suc(suc(z))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))))) <=> ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | iLEQ(suc(suc(z)), suc(suc(z))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))))),
% 0.20/0.47      inference(transitivity,[status(thm)],[101, 99])).
% 0.20/0.47  tff(103,plain,
% 0.20/0.47      ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (iLEQ(suc(suc(z)), suc(suc(z))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))))),
% 0.20/0.47      inference(quant_inst,[status(thm)],[])).
% 0.20/0.47  tff(104,plain,
% 0.20/0.47      ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | iLEQ(suc(suc(z)), suc(suc(z))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z))))))),
% 0.20/0.47      inference(modus_ponens,[status(thm)],[103, 102])).
% 0.20/0.47  tff(105,plain,
% 0.20/0.47      (iLEQ(suc(suc(z)), suc(suc(z))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z))))))),
% 0.20/0.47      inference(unit_resolution,[status(thm)],[104, 98])).
% 0.20/0.47  tff(106,plain,
% 0.20/0.47      ($false),
% 0.20/0.47      inference(unit_resolution,[status(thm)],[105, 88, 73, 72, 71, 70])).
% 0.20/0.47  tff(107,plain,(iLEQ(suc(suc(z)), suc(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z))))))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.47  tff(108,plain,
% 0.20/0.47      (iLEQ(suc(suc(z)), suc(suc(z)))),
% 0.20/0.47      inference(unit_resolution,[status(thm)],[107, 69, 50, 28])).
% 0.20/0.47  tff(109,plain,
% 0.20/0.47      (^[B_25: $i, A_1: $i, B_26: $i, B_24: $i] : refl((tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) <=> (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))),
% 0.20/0.47      inference(bind,[status(th)],[])).
% 0.20/0.47  tff(110,plain,
% 0.20/0.47      (![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) <=> ![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))),
% 0.20/0.47      inference(quant_intro,[status(thm)],[109])).
% 0.20/0.47  tff(111,plain,
% 0.20/0.47      (![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) <=> ![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))),
% 0.20/0.47      inference(rewrite,[status(thm)],[])).
% 0.20/0.47  tff(112,plain,
% 0.20/0.47      (^[B_25: $i, A_1: $i, B_26: $i, B_24: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) <=> ((~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) <=> (((~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))))), rewrite((((~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) <=> ((~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) <=> ((~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), (((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) <=> (((~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))))), rewrite((((~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) <=> ((~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) <=> ((~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), ((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) <=> (((~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))))), rewrite((((~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) <=> ((~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) <=> ((~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), (((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) <=> (((~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25)))))), rewrite((((~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25)))) <=> ((~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) <=> ((~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), ((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) <=> (((~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))))), rewrite((((~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) <=> ((~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) <=> ((~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), (((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) <=> (((~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))))), rewrite((((~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) <=> ((~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) <=> ((~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), ((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~iLEQ(suc(A_1), suc(B_24)))) <=> (((~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~iLEQ(suc(A_1), suc(B_24)))))), rewrite((((~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~iLEQ(suc(A_1), suc(B_24)))) <=> ((~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~iLEQ(suc(A_1), suc(B_24)))) <=> ((~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), (((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) <=> (((~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))))), rewrite((((~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) <=> ((~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) <=> ((~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), ((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26))))) <=> (((~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26))))))), rewrite((((~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26))))) <=> ((~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26))))) <=> ((~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), (((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26))))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) <=> (((~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | tptp_fun__E_(f(A_1), f(suc(A_1)))))), rewrite((((~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) <=> (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26))))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) <=> (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), ((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26))))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | tptp_fun__E_(f(B_24), f(suc(B_24)))) <=> ((tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | tptp_fun__E_(f(B_24), f(suc(B_24)))))), rewrite(((tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | tptp_fun__E_(f(B_24), f(suc(B_24)))) <=> (tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26))))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | tptp_fun__E_(f(B_24), f(suc(B_24)))) <=> (tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), (((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26))))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | tptp_fun__E_(f(B_24), f(suc(B_24)))) | tptp_fun__E_(f(B_25), f(suc(B_25)))) <=> ((tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | tptp_fun__E_(f(B_25), f(suc(B_25)))))), rewrite(((tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | tptp_fun__E_(f(B_25), f(suc(B_25)))) <=> (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26))))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | tptp_fun__E_(f(B_24), f(suc(B_24)))) | tptp_fun__E_(f(B_25), f(suc(B_25)))) <=> (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), ((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26))))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | tptp_fun__E_(f(B_24), f(suc(B_24)))) | tptp_fun__E_(f(B_25), f(suc(B_25)))) | tptp_fun__E_(f(B_26), f(suc(B_26)))) <=> ((tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | tptp_fun__E_(f(B_26), f(suc(B_26)))))), rewrite(((tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | tptp_fun__E_(f(B_26), f(suc(B_26)))) <=> (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26))))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | tptp_fun__E_(f(B_24), f(suc(B_24)))) | tptp_fun__E_(f(B_25), f(suc(B_25)))) | tptp_fun__E_(f(B_26), f(suc(B_26)))) <=> (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))))),
% 0.20/0.48      inference(bind,[status(th)],[])).
% 0.20/0.48  tff(113,plain,
% 0.20/0.48      (![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26))))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | tptp_fun__E_(f(B_24), f(suc(B_24)))) | tptp_fun__E_(f(B_25), f(suc(B_25)))) | tptp_fun__E_(f(B_26), f(suc(B_26)))) <=> ![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))),
% 0.20/0.48      inference(quant_intro,[status(thm)],[112])).
% 0.20/0.48  tff(114,axiom,(![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26))))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | tptp_fun__E_(f(B_24), f(suc(B_24)))) | tptp_fun__E_(f(B_25), f(suc(B_25)))) | tptp_fun__E_(f(B_26), f(suc(B_26))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_371')).
% 0.20/0.48  tff(115,plain,
% 0.20/0.48      (![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))),
% 0.20/0.48      inference(modus_ponens,[status(thm)],[114, 113])).
% 0.20/0.48  tff(116,plain,
% 0.20/0.48      (![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))),
% 0.20/0.48      inference(modus_ponens,[status(thm)],[115, 111])).
% 0.20/0.48  tff(117,plain,(
% 0.20/0.48      ![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))),
% 0.20/0.48      inference(skolemize,[status(sab)],[116])).
% 0.20/0.48  tff(118,plain,
% 0.20/0.48      (![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))),
% 0.20/0.48      inference(modus_ponens,[status(thm)],[117, 110])).
% 0.20/0.48  tff(119,plain,
% 0.20/0.48      (((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(suc(z)), suc(suc(z)))))) <=> ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(suc(z)), suc(suc(z)))))),
% 0.20/0.48      inference(rewrite,[status(thm)],[])).
% 0.20/0.48  tff(120,plain,
% 0.20/0.48      ((tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(suc(z)), suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(suc(z)), suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(suc(z)), suc(suc(z))))) <=> (tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(suc(z)), suc(suc(z)))))),
% 0.20/0.48      inference(rewrite,[status(thm)],[])).
% 0.20/0.48  tff(121,plain,
% 0.20/0.48      (((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(suc(z)), suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(suc(z)), suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(suc(z)), suc(suc(z)))))) <=> ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(suc(z)), suc(suc(z))))))),
% 0.20/0.48      inference(monotonicity,[status(thm)],[120])).
% 0.20/0.48  tff(122,plain,
% 0.20/0.48      (((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(suc(z)), suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(suc(z)), suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(suc(z)), suc(suc(z)))))) <=> ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(suc(z)), suc(suc(z)))))),
% 0.20/0.48      inference(transitivity,[status(thm)],[121, 119])).
% 0.20/0.48  tff(123,plain,
% 0.20/0.48      ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(suc(z)), suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(suc(z)), suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(suc(z)), suc(suc(z)))))),
% 0.20/0.48      inference(quant_inst,[status(thm)],[])).
% 0.20/0.48  tff(124,plain,
% 0.20/0.48      ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(suc(z)), suc(suc(z))))),
% 0.20/0.48      inference(modus_ponens,[status(thm)],[123, 122])).
% 0.20/0.48  tff(125,plain,
% 0.20/0.48      (tptp_fun__E_(f(suc(z)), f(suc(suc(z))))),
% 0.20/0.48      inference(unit_resolution,[status(thm)],[124, 118, 50, 69, 108])).
% 0.20/0.48  tff(126,plain,
% 0.20/0.48      (^[B_25: $i, A_1: $i, B_26: $i, B_24: $i] : refl(((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) <=> ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))),
% 0.20/0.48      inference(bind,[status(th)],[])).
% 0.20/0.48  tff(127,plain,
% 0.20/0.48      (![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) <=> ![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))),
% 0.20/0.48      inference(quant_intro,[status(thm)],[126])).
% 0.20/0.48  tff(128,plain,
% 0.20/0.48      (![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) <=> ![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))),
% 0.20/0.48      inference(rewrite,[status(thm)],[])).
% 0.20/0.48  tff(129,plain,
% 0.20/0.48      (^[B_25: $i, A_1: $i, B_26: $i, B_24: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) <=> ((~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) <=> (((~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))))), rewrite((((~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) <=> ((~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) <=> ((~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), (((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) <=> (((~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))))), rewrite((((~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) <=> ((~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) <=> ((~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), ((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) <=> (((~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))))), rewrite((((~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) <=> ((~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) <=> ((~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), (((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) <=> (((~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))))), rewrite((((~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) <=> ((~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) <=> ((~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), ((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) <=> (((~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25)))))), rewrite((((~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25)))) <=> ((~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) <=> ((~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), (((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) <=> (((~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))))), rewrite((((~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), ((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), (((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), ((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), (((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26)))))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26)))))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26)))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26)))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), ((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26)))))) | (~iLEQ(suc(A_1), suc(B_24)))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~iLEQ(suc(A_1), suc(B_24)))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~iLEQ(suc(A_1), suc(B_24)))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26)))))) | (~iLEQ(suc(A_1), suc(B_24)))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), (((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26)))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25)))))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25)))))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25)))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26)))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25)))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), ((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26)))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25)))))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26)))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25)))))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), (((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26)))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25)))))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) <=> ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26)))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25)))))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) <=> ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), ((((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26)))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25)))))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) <=> (((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))))), rewrite((((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) <=> ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26)))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25)))))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) <=> ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), (((((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26)))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25)))))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26))))) <=> (((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26))))))), rewrite((((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26))))) <=> ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26)))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25)))))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26))))) <=> ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), ((((((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26)))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25)))))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24)))))) <=> (((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24)))))))), rewrite((((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24)))))) <=> ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26)))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25)))))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24)))))) <=> ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))))),
% 0.20/0.49      inference(bind,[status(th)],[])).
% 0.20/0.49  tff(130,plain,
% 0.20/0.49      (![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (((((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26)))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25)))))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24)))))) <=> ![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))),
% 0.20/0.49      inference(quant_intro,[status(thm)],[129])).
% 0.20/0.49  tff(131,axiom,(![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (((((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26)))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25)))))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_12')).
% 0.20/0.49  tff(132,plain,
% 0.20/0.49      (![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))),
% 0.20/0.49      inference(modus_ponens,[status(thm)],[131, 130])).
% 0.20/0.49  tff(133,plain,
% 0.20/0.49      (![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))),
% 0.20/0.49      inference(modus_ponens,[status(thm)],[132, 128])).
% 0.20/0.49  tff(134,plain,(
% 0.20/0.49      ![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))),
% 0.20/0.49      inference(skolemize,[status(sab)],[133])).
% 0.20/0.49  tff(135,plain,
% 0.20/0.49      (![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))),
% 0.20/0.49      inference(modus_ponens,[status(thm)],[134, 127])).
% 0.20/0.49  tff(136,plain,
% 0.20/0.49      (((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | ((~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~iLEQ(suc(suc(z)), suc(suc(z)))))) <=> ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~iLEQ(suc(suc(z)), suc(suc(z)))))),
% 0.20/0.49      inference(rewrite,[status(thm)],[])).
% 0.20/0.49  tff(137,plain,
% 0.20/0.49      (((~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~iLEQ(suc(suc(z)), suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~iLEQ(suc(suc(z)), suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(suc(z)), suc(suc(z))))) <=> ((~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~iLEQ(suc(suc(z)), suc(suc(z)))))),
% 0.20/0.49      inference(rewrite,[status(thm)],[])).
% 0.20/0.49  tff(138,plain,
% 0.20/0.49      (((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | ((~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~iLEQ(suc(suc(z)), suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~iLEQ(suc(suc(z)), suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(suc(z)), suc(suc(z)))))) <=> ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | ((~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~iLEQ(suc(suc(z)), suc(suc(z))))))),
% 0.20/0.50      inference(monotonicity,[status(thm)],[137])).
% 0.20/0.50  tff(139,plain,
% 0.20/0.50      (((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | ((~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~iLEQ(suc(suc(z)), suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~iLEQ(suc(suc(z)), suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(suc(z)), suc(suc(z)))))) <=> ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~iLEQ(suc(suc(z)), suc(suc(z)))))),
% 0.20/0.50      inference(transitivity,[status(thm)],[138, 136])).
% 0.20/0.50  tff(140,plain,
% 0.20/0.50      ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | ((~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~iLEQ(suc(suc(z)), suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~iLEQ(suc(suc(z)), suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(suc(z)), suc(suc(z)))))),
% 0.20/0.50      inference(quant_inst,[status(thm)],[])).
% 0.20/0.50  tff(141,plain,
% 0.20/0.50      ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~iLEQ(suc(suc(z)), suc(suc(z))))),
% 0.20/0.50      inference(modus_ponens,[status(thm)],[140, 139])).
% 0.20/0.50  tff(142,plain,
% 0.20/0.50      ($false),
% 0.20/0.50      inference(unit_resolution,[status(thm)],[141, 135, 50, 69, 28, 108, 125])).
% 0.20/0.50  tff(143,plain,(tptp_fun__LE_(f(suc(z)), s(|'0'|))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.50  tff(144,plain,
% 0.20/0.50      ((~tptp_fun__LE_(f(z), |'0'|)) <=> (~tptp_fun__LE_(f(z), |'0'|))),
% 0.20/0.50      inference(rewrite,[status(thm)],[])).
% 0.20/0.50  tff(145,axiom,(~tptp_fun__LE_(f(z), |'0'|)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_292')).
% 0.20/0.50  tff(146,plain,
% 0.20/0.50      (~tptp_fun__LE_(f(z), |'0'|)),
% 0.20/0.50      inference(modus_ponens,[status(thm)],[145, 144])).
% 0.20/0.50  tff(147,plain,
% 0.20/0.50      (^[B_35: $i] : refl((tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(suc(B_35)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_35)))) <=> (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(suc(B_35)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_35)))))),
% 0.20/0.50      inference(bind,[status(th)],[])).
% 0.20/0.50  tff(148,plain,
% 0.20/0.50      (![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(suc(B_35)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_35)))) <=> ![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(suc(B_35)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_35))))),
% 0.20/0.50      inference(quant_intro,[status(thm)],[147])).
% 0.20/0.50  tff(149,plain,
% 0.20/0.50      (![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(suc(B_35)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_35)))) <=> ![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(suc(B_35)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_35))))),
% 0.20/0.50      inference(rewrite,[status(thm)],[])).
% 0.20/0.50  tff(150,plain,
% 0.20/0.50      (^[B_35: $i] : rewrite((((~tptp_fun__LE_(f(suc(B_35)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_35)))) | tptp_fun__LE_(f(B_35), |'0'|)) <=> (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(suc(B_35)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_35)))))),
% 0.20/0.50      inference(bind,[status(th)],[])).
% 0.20/0.50  tff(151,plain,
% 0.20/0.50      (![B_35: $i] : (((~tptp_fun__LE_(f(suc(B_35)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_35)))) | tptp_fun__LE_(f(B_35), |'0'|)) <=> ![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(suc(B_35)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_35))))),
% 0.20/0.50      inference(quant_intro,[status(thm)],[150])).
% 0.20/0.50  tff(152,axiom,(![B_35: $i] : (((~tptp_fun__LE_(f(suc(B_35)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_35)))) | tptp_fun__LE_(f(B_35), |'0'|))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_539')).
% 0.20/0.50  tff(153,plain,
% 0.20/0.50      (![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(suc(B_35)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_35))))),
% 0.20/0.50      inference(modus_ponens,[status(thm)],[152, 151])).
% 0.20/0.50  tff(154,plain,
% 0.20/0.50      (![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(suc(B_35)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_35))))),
% 0.20/0.50      inference(modus_ponens,[status(thm)],[153, 149])).
% 0.20/0.50  tff(155,plain,(
% 0.20/0.50      ![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(suc(B_35)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_35))))),
% 0.20/0.50      inference(skolemize,[status(sab)],[154])).
% 0.20/0.50  tff(156,plain,
% 0.20/0.50      (![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(suc(B_35)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_35))))),
% 0.20/0.50      inference(modus_ponens,[status(thm)],[155, 148])).
% 0.20/0.50  tff(157,plain,
% 0.20/0.50      (((~![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(suc(B_35)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_35))))) | (tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(suc(z)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(z))))) <=> ((~![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(suc(B_35)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_35))))) | tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(suc(z)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(z))))),
% 0.20/0.50      inference(rewrite,[status(thm)],[])).
% 0.20/0.50  tff(158,plain,
% 0.20/0.50      ((~![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(suc(B_35)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_35))))) | (tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(suc(z)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(z))))),
% 0.20/0.50      inference(quant_inst,[status(thm)],[])).
% 0.20/0.50  tff(159,plain,
% 0.20/0.50      ((~![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(suc(B_35)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_35))))) | tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(suc(z)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(z)))),
% 0.20/0.50      inference(modus_ponens,[status(thm)],[158, 157])).
% 0.20/0.50  tff(160,plain,
% 0.20/0.50      ((~tptp_fun__LE_(f(suc(z)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(z)))),
% 0.20/0.50      inference(unit_resolution,[status(thm)],[159, 156, 146])).
% 0.20/0.50  tff(161,plain,
% 0.20/0.50      (tptp_fun__E_(|'0'|, f(suc(z)))),
% 0.20/0.50      inference(unit_resolution,[status(thm)],[160, 143])).
% 0.20/0.50  tff(162,assumption,(~tptp_fun__E_(f(z), f(suc(z)))), introduced(assumption)).
% 0.20/0.50  tff(163,assumption,(tptp_fun__E_(|'0'|, f(suc(z)))), introduced(assumption)).
% 0.20/0.50  tff(164,assumption,(~tptp_fun__LE_(f(z), s(|'0'|))), introduced(assumption)).
% 0.20/0.50  tff(165,plain,
% 0.20/0.50      ((~![A: $i] : tptp_fun__LE_(f(A), s(s(|'0'|)))) | tptp_fun__LE_(f(z), s(s(|'0'|)))),
% 0.20/0.50      inference(quant_inst,[status(thm)],[])).
% 0.20/0.50  tff(166,plain,
% 0.20/0.50      (tptp_fun__LE_(f(z), s(s(|'0'|)))),
% 0.20/0.50      inference(unit_resolution,[status(thm)],[165, 9])).
% 0.20/0.50  tff(167,plain,
% 0.20/0.50      (((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23)))) | (tptp_fun__LE_(f(z), s(|'0'|)) | (~tptp_fun__LE_(f(z), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(z)))) <=> ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23)))) | tptp_fun__LE_(f(z), s(|'0'|)) | (~tptp_fun__LE_(f(z), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(z)))),
% 0.20/0.50      inference(rewrite,[status(thm)],[])).
% 0.20/0.50  tff(168,plain,
% 0.20/0.50      ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23)))) | (tptp_fun__LE_(f(z), s(|'0'|)) | (~tptp_fun__LE_(f(z), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(z)))),
% 0.20/0.50      inference(quant_inst,[status(thm)],[])).
% 0.20/0.50  tff(169,plain,
% 0.20/0.50      ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23)))) | tptp_fun__LE_(f(z), s(|'0'|)) | (~tptp_fun__LE_(f(z), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(z))),
% 0.20/0.50      inference(modus_ponens,[status(thm)],[168, 167])).
% 0.20/0.50  tff(170,plain,
% 0.20/0.50      (tptp_fun__LE_(f(z), s(|'0'|)) | (~tptp_fun__LE_(f(z), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(z))),
% 0.20/0.50      inference(unit_resolution,[status(thm)],[169, 42])).
% 0.20/0.50  tff(171,plain,
% 0.20/0.50      (tptp_fun__LE_(f(z), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(z))),
% 0.20/0.50      inference(unit_resolution,[status(thm)],[170, 166])).
% 0.20/0.50  tff(172,plain,
% 0.20/0.50      (tptp_fun__E_(s(|'0'|), f(z))),
% 0.20/0.50      inference(unit_resolution,[status(thm)],[171, 164])).
% 0.20/0.50  tff(173,plain,
% 0.20/0.50      (((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23))))) | (tptp_fun__LE_(f(z), s(|'0'|)) | (~tptp_fun__LE_(f(suc(z)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(z))))) <=> ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23))))) | tptp_fun__LE_(f(z), s(|'0'|)) | (~tptp_fun__LE_(f(suc(z)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(z))))),
% 0.20/0.50      inference(rewrite,[status(thm)],[])).
% 0.20/0.50  tff(174,plain,
% 0.20/0.50      ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23))))) | (tptp_fun__LE_(f(z), s(|'0'|)) | (~tptp_fun__LE_(f(suc(z)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(z))))),
% 0.20/0.50      inference(quant_inst,[status(thm)],[])).
% 0.20/0.50  tff(175,plain,
% 0.20/0.50      ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23))))) | tptp_fun__LE_(f(z), s(|'0'|)) | (~tptp_fun__LE_(f(suc(z)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(z)))),
% 0.20/0.50      inference(modus_ponens,[status(thm)],[174, 173])).
% 0.20/0.50  tff(176,plain,
% 0.20/0.50      (tptp_fun__LE_(f(z), s(|'0'|)) | (~tptp_fun__LE_(f(suc(z)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(z)))),
% 0.20/0.50      inference(unit_resolution,[status(thm)],[175, 64])).
% 0.20/0.50  tff(177,plain,
% 0.20/0.50      (tptp_fun__E_(s(|'0'|), f(suc(z)))),
% 0.20/0.50      inference(unit_resolution,[status(thm)],[176, 164, 32])).
% 0.20/0.50  tff(178,assumption,(tptp_fun__E_(s(|'0'|), f(z))), introduced(assumption)).
% 0.20/0.50  tff(179,plain,
% 0.20/0.50      (((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | ((~tptp_fun__E_(s(|'0'|), f(suc(z)))) | iLEQ(suc(z), suc(z)) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(z))))) <=> ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | iLEQ(suc(z), suc(z)) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(z))))),
% 0.20/0.50      inference(rewrite,[status(thm)],[])).
% 0.20/0.50  tff(180,plain,
% 0.20/0.50      ((iLEQ(suc(z), suc(z)) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z)))) <=> ((~tptp_fun__E_(s(|'0'|), f(suc(z)))) | iLEQ(suc(z), suc(z)) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(z))))),
% 0.20/0.50      inference(rewrite,[status(thm)],[])).
% 0.20/0.50  tff(181,plain,
% 0.20/0.50      (((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (iLEQ(suc(z), suc(z)) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))))) <=> ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | ((~tptp_fun__E_(s(|'0'|), f(suc(z)))) | iLEQ(suc(z), suc(z)) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(z)))))),
% 0.20/0.50      inference(monotonicity,[status(thm)],[180])).
% 0.20/0.50  tff(182,plain,
% 0.20/0.50      (((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (iLEQ(suc(z), suc(z)) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))))) <=> ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | iLEQ(suc(z), suc(z)) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(z))))),
% 0.20/0.50      inference(transitivity,[status(thm)],[181, 179])).
% 0.20/0.50  tff(183,plain,
% 0.20/0.50      ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (iLEQ(suc(z), suc(z)) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))))),
% 0.20/0.50      inference(quant_inst,[status(thm)],[])).
% 0.20/0.50  tff(184,plain,
% 0.20/0.50      ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | iLEQ(suc(z), suc(z)) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(z)))),
% 0.20/0.50      inference(modus_ponens,[status(thm)],[183, 182])).
% 0.20/0.50  tff(185,plain,
% 0.20/0.50      ((~tptp_fun__E_(s(|'0'|), f(suc(z)))) | iLEQ(suc(z), suc(z)) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(z)))),
% 0.20/0.50      inference(unit_resolution,[status(thm)],[184, 83])).
% 0.20/0.50  tff(186,plain,
% 0.20/0.50      (iLEQ(suc(z), suc(z))),
% 0.20/0.50      inference(unit_resolution,[status(thm)],[185, 162, 178, 71])).
% 0.20/0.50  tff(187,plain,
% 0.20/0.50      (((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | ((~tptp_fun__E_(s(|'0'|), f(suc(z)))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z))))) <=> ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z))))),
% 0.20/0.50      inference(rewrite,[status(thm)],[])).
% 0.20/0.50  tff(188,plain,
% 0.20/0.50      ((tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z)))) <=> ((~tptp_fun__E_(s(|'0'|), f(suc(z)))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z))))),
% 0.20/0.50      inference(rewrite,[status(thm)],[])).
% 0.20/0.50  tff(189,plain,
% 0.20/0.50      (((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z))))) <=> ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | ((~tptp_fun__E_(s(|'0'|), f(suc(z)))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z)))))),
% 0.20/0.50      inference(monotonicity,[status(thm)],[188])).
% 0.20/0.50  tff(190,plain,
% 0.20/0.50      (((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z))))) <=> ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z))))),
% 0.20/0.50      inference(transitivity,[status(thm)],[189, 187])).
% 0.20/0.50  tff(191,plain,
% 0.20/0.50      ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z))))),
% 0.20/0.50      inference(quant_inst,[status(thm)],[])).
% 0.20/0.50  tff(192,plain,
% 0.20/0.50      ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z)))),
% 0.20/0.50      inference(modus_ponens,[status(thm)],[191, 190])).
% 0.20/0.50  tff(193,plain,
% 0.20/0.50      ($false),
% 0.20/0.50      inference(unit_resolution,[status(thm)],[192, 118, 71, 178, 186, 162])).
% 0.20/0.50  tff(194,plain,(tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z)))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.50  tff(195,plain,
% 0.20/0.50      (tptp_fun__E_(f(z), f(suc(z)))),
% 0.20/0.50      inference(unit_resolution,[status(thm)],[194, 177, 172])).
% 0.20/0.50  tff(196,plain,
% 0.20/0.50      (((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23)))))) | (tptp_fun__LE_(f(z), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(z))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(z)))))) <=> ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23)))))) | tptp_fun__LE_(f(z), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(z))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(z)))))),
% 0.20/0.50      inference(rewrite,[status(thm)],[])).
% 0.20/0.51  tff(197,plain,
% 0.20/0.51      ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23)))))) | (tptp_fun__LE_(f(z), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(z))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(z)))))),
% 0.20/0.51      inference(quant_inst,[status(thm)],[])).
% 0.20/0.51  tff(198,plain,
% 0.20/0.51      ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23)))))) | tptp_fun__LE_(f(z), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(z))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(z))))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[197, 196])).
% 0.20/0.51  tff(199,plain,
% 0.20/0.51      (tptp_fun__LE_(f(z), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(z))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(z))))),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[198, 23])).
% 0.20/0.51  tff(200,plain,
% 0.20/0.51      (tptp_fun__E_(s(|'0'|), f(suc(suc(z))))),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[199, 164, 54])).
% 0.20/0.51  tff(201,plain,
% 0.20/0.51      (((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | ((~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))))) <=> ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))))),
% 0.20/0.51      inference(rewrite,[status(thm)],[])).
% 0.20/0.51  tff(202,plain,
% 0.20/0.51      ((iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z)))) <=> ((~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))))),
% 0.20/0.51      inference(rewrite,[status(thm)],[])).
% 0.20/0.51  tff(203,plain,
% 0.20/0.51      (((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))))) <=> ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | ((~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z)))))),
% 0.20/0.51      inference(monotonicity,[status(thm)],[202])).
% 0.20/0.51  tff(204,plain,
% 0.20/0.51      (((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))))) <=> ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))))),
% 0.20/0.51      inference(transitivity,[status(thm)],[203, 201])).
% 0.20/0.51  tff(205,plain,
% 0.20/0.51      ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))))),
% 0.20/0.51      inference(quant_inst,[status(thm)],[])).
% 0.20/0.51  tff(206,plain,
% 0.20/0.51      ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z)))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[205, 204])).
% 0.20/0.51  tff(207,plain,
% 0.20/0.51      ((~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z)))),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[206, 98])).
% 0.20/0.51  tff(208,plain,
% 0.20/0.51      (iLEQ(suc(z), suc(z))),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[207, 195, 200, 172, 177])).
% 0.20/0.51  tff(209,plain,
% 0.20/0.51      (((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | ((~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z))))) <=> ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z))))),
% 0.20/0.51      inference(rewrite,[status(thm)],[])).
% 0.20/0.51  tff(210,plain,
% 0.20/0.51      (((~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z)))) <=> ((~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z))))),
% 0.20/0.51      inference(rewrite,[status(thm)],[])).
% 0.20/0.51  tff(211,plain,
% 0.20/0.51      (((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | ((~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z))))) <=> ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | ((~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z)))))),
% 0.20/0.51      inference(monotonicity,[status(thm)],[210])).
% 0.20/0.51  tff(212,plain,
% 0.20/0.51      (((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | ((~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z))))) <=> ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z))))),
% 0.20/0.51      inference(transitivity,[status(thm)],[211, 209])).
% 0.20/0.51  tff(213,plain,
% 0.20/0.51      ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | ((~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z))))),
% 0.20/0.51      inference(quant_inst,[status(thm)],[])).
% 0.20/0.51  tff(214,plain,
% 0.20/0.51      ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z)))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[213, 212])).
% 0.20/0.51  tff(215,plain,
% 0.20/0.51      ($false),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[214, 135, 177, 172, 200, 208, 195])).
% 0.20/0.51  tff(216,plain,(tptp_fun__LE_(f(z), s(|'0'|))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.51  tff(217,plain,
% 0.20/0.51      (^[B_35: $i] : refl((tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(B_35), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_35))) <=> (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(B_35), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_35))))),
% 0.20/0.51      inference(bind,[status(th)],[])).
% 0.20/0.51  tff(218,plain,
% 0.20/0.51      (![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(B_35), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_35))) <=> ![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(B_35), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_35)))),
% 0.20/0.51      inference(quant_intro,[status(thm)],[217])).
% 0.20/0.51  tff(219,plain,
% 0.20/0.51      (![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(B_35), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_35))) <=> ![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(B_35), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_35)))),
% 0.20/0.51      inference(rewrite,[status(thm)],[])).
% 0.20/0.51  tff(220,plain,
% 0.20/0.51      (^[B_35: $i] : rewrite((((~tptp_fun__LE_(f(B_35), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_35))) | tptp_fun__LE_(f(B_35), |'0'|)) <=> (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(B_35), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_35))))),
% 0.20/0.51      inference(bind,[status(th)],[])).
% 0.20/0.51  tff(221,plain,
% 0.20/0.51      (![B_35: $i] : (((~tptp_fun__LE_(f(B_35), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_35))) | tptp_fun__LE_(f(B_35), |'0'|)) <=> ![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(B_35), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_35)))),
% 0.20/0.51      inference(quant_intro,[status(thm)],[220])).
% 0.20/0.51  tff(222,axiom,(![B_35: $i] : (((~tptp_fun__LE_(f(B_35), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_35))) | tptp_fun__LE_(f(B_35), |'0'|))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_458')).
% 0.20/0.51  tff(223,plain,
% 0.20/0.51      (![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(B_35), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_35)))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[222, 221])).
% 0.20/0.51  tff(224,plain,
% 0.20/0.51      (![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(B_35), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_35)))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[223, 219])).
% 0.20/0.51  tff(225,plain,(
% 0.20/0.51      ![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(B_35), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_35)))),
% 0.20/0.51      inference(skolemize,[status(sab)],[224])).
% 0.20/0.51  tff(226,plain,
% 0.20/0.51      (![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(B_35), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_35)))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[225, 218])).
% 0.20/0.51  tff(227,plain,
% 0.20/0.51      (((~![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(B_35), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_35)))) | (tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(z), s(|'0'|))) | tptp_fun__E_(|'0'|, f(z)))) <=> ((~![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(B_35), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_35)))) | tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(z), s(|'0'|))) | tptp_fun__E_(|'0'|, f(z)))),
% 0.20/0.51      inference(rewrite,[status(thm)],[])).
% 0.20/0.51  tff(228,plain,
% 0.20/0.51      ((~![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(B_35), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_35)))) | (tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(z), s(|'0'|))) | tptp_fun__E_(|'0'|, f(z)))),
% 0.20/0.51      inference(quant_inst,[status(thm)],[])).
% 0.20/0.51  tff(229,plain,
% 0.20/0.51      ((~![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(B_35), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_35)))) | tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(z), s(|'0'|))) | tptp_fun__E_(|'0'|, f(z))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[228, 227])).
% 0.20/0.51  tff(230,plain,
% 0.20/0.51      ((~tptp_fun__LE_(f(z), s(|'0'|))) | tptp_fun__E_(|'0'|, f(z))),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[229, 226, 146])).
% 0.20/0.51  tff(231,plain,
% 0.20/0.51      (tptp_fun__E_(|'0'|, f(z))),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[230, 216])).
% 0.20/0.51  tff(232,plain,
% 0.20/0.51      (^[A_2: $i] : refl((iLEQ(suc(A_2), suc(A_2)) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) <=> (iLEQ(suc(A_2), suc(A_2)) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(A_2)))))),
% 0.20/0.51      inference(bind,[status(th)],[])).
% 0.20/0.51  tff(233,plain,
% 0.20/0.51      (![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) <=> ![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(A_2))))),
% 0.20/0.51      inference(quant_intro,[status(thm)],[232])).
% 0.20/0.51  tff(234,plain,
% 0.20/0.51      (![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) <=> ![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(A_2))))),
% 0.20/0.51      inference(rewrite,[status(thm)],[])).
% 0.20/0.51  tff(235,plain,
% 0.20/0.51      (^[A_2: $i] : trans(monotonicity(rewrite((((~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | tptp_fun__E_(f(A_2), f(suc(A_2)))) <=> (tptp_fun__E_(f(A_2), f(suc(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(A_2))))), (((((~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | tptp_fun__E_(f(A_2), f(suc(A_2)))) | iLEQ(suc(A_2), suc(A_2))) <=> ((tptp_fun__E_(f(A_2), f(suc(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | iLEQ(suc(A_2), suc(A_2))))), rewrite(((tptp_fun__E_(f(A_2), f(suc(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | iLEQ(suc(A_2), suc(A_2))) <=> (iLEQ(suc(A_2), suc(A_2)) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(A_2))))), (((((~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | tptp_fun__E_(f(A_2), f(suc(A_2)))) | iLEQ(suc(A_2), suc(A_2))) <=> (iLEQ(suc(A_2), suc(A_2)) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(A_2))))))),
% 0.20/0.51      inference(bind,[status(th)],[])).
% 0.20/0.51  tff(236,plain,
% 0.20/0.51      (![A_2: $i] : ((((~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | tptp_fun__E_(f(A_2), f(suc(A_2)))) | iLEQ(suc(A_2), suc(A_2))) <=> ![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(A_2))))),
% 0.20/0.51      inference(quant_intro,[status(thm)],[235])).
% 0.20/0.51  tff(237,axiom,(![A_2: $i] : ((((~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | tptp_fun__E_(f(A_2), f(suc(A_2)))) | iLEQ(suc(A_2), suc(A_2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_324')).
% 0.20/0.51  tff(238,plain,
% 0.20/0.51      (![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(A_2))))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[237, 236])).
% 0.20/0.51  tff(239,plain,
% 0.20/0.51      (![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(A_2))))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[238, 234])).
% 0.20/0.51  tff(240,plain,(
% 0.20/0.51      ![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(A_2))))),
% 0.20/0.51      inference(skolemize,[status(sab)],[239])).
% 0.20/0.51  tff(241,plain,
% 0.20/0.51      (![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(A_2))))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[240, 233])).
% 0.20/0.51  tff(242,plain,
% 0.20/0.51      (((~![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(A_2))))) | ((~tptp_fun__E_(|'0'|, f(suc(z)))) | iLEQ(suc(z), suc(z)) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))))) <=> ((~![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | iLEQ(suc(z), suc(z)) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))))),
% 0.20/0.51      inference(rewrite,[status(thm)],[])).
% 0.20/0.51  tff(243,plain,
% 0.20/0.51      ((iLEQ(suc(z), suc(z)) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z)))) <=> ((~tptp_fun__E_(|'0'|, f(suc(z)))) | iLEQ(suc(z), suc(z)) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))))),
% 0.20/0.51      inference(rewrite,[status(thm)],[])).
% 0.20/0.51  tff(244,plain,
% 0.20/0.51      (((~![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(A_2))))) | (iLEQ(suc(z), suc(z)) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))))) <=> ((~![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(A_2))))) | ((~tptp_fun__E_(|'0'|, f(suc(z)))) | iLEQ(suc(z), suc(z)) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z)))))),
% 0.20/0.51      inference(monotonicity,[status(thm)],[243])).
% 0.20/0.51  tff(245,plain,
% 0.20/0.51      (((~![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(A_2))))) | (iLEQ(suc(z), suc(z)) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))))) <=> ((~![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | iLEQ(suc(z), suc(z)) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))))),
% 0.20/0.51      inference(transitivity,[status(thm)],[244, 242])).
% 0.20/0.51  tff(246,plain,
% 0.20/0.51      ((~![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(A_2))))) | (iLEQ(suc(z), suc(z)) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))))),
% 0.20/0.51      inference(quant_inst,[status(thm)],[])).
% 0.20/0.51  tff(247,plain,
% 0.20/0.51      ((~![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | iLEQ(suc(z), suc(z)) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z)))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[246, 245])).
% 0.20/0.51  tff(248,plain,
% 0.20/0.51      ((~tptp_fun__E_(|'0'|, f(suc(z)))) | iLEQ(suc(z), suc(z)) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z)))),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[247, 241])).
% 0.20/0.51  tff(249,plain,
% 0.20/0.51      ((~tptp_fun__E_(|'0'|, f(suc(z)))) | iLEQ(suc(z), suc(z)) | tptp_fun__E_(f(z), f(suc(z)))),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[248, 231])).
% 0.20/0.51  tff(250,plain,
% 0.20/0.51      (iLEQ(suc(z), suc(z))),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[249, 163, 162])).
% 0.20/0.51  tff(251,plain,
% 0.20/0.51      (^[B_38: $i, B_37: $i, A_2: $i, B_36: $i] : refl((tptp_fun__E_(f(B_38), f(suc(B_38))) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) <=> (tptp_fun__E_(f(B_38), f(suc(B_38))) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))))),
% 0.20/0.51      inference(bind,[status(th)],[])).
% 0.20/0.51  tff(252,plain,
% 0.20/0.51      (![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : (tptp_fun__E_(f(B_38), f(suc(B_38))) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) <=> ![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : (tptp_fun__E_(f(B_38), f(suc(B_38))) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))),
% 0.20/0.51      inference(quant_intro,[status(thm)],[251])).
% 0.20/0.51  tff(253,plain,
% 0.20/0.51      (![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : (tptp_fun__E_(f(B_38), f(suc(B_38))) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) <=> ![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : (tptp_fun__E_(f(B_38), f(suc(B_38))) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))),
% 0.20/0.51      inference(rewrite,[status(thm)],[])).
% 0.20/0.51  tff(254,plain,
% 0.20/0.51      (^[B_38: $i, B_37: $i, A_2: $i, B_36: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) <=> ((~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))), ((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) <=> (((~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2)))))), rewrite((((~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) <=> ((~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))), ((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) <=> ((~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))))), (((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) <=> (((~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~iLEQ(suc(B_37), suc(B_38)))))), rewrite((((~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~iLEQ(suc(B_37), suc(B_38)))) <=> ((~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))), (((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) <=> ((~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))))), ((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) <=> (((~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))))), rewrite((((~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))), ((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))))), (((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) <=> (((~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~iLEQ(suc(A_2), suc(B_36)))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~iLEQ(suc(A_2), suc(B_36)))) <=> ((~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))), (((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) <=> ((~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))))), ((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) <=> (((~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))))), rewrite((((~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))), ((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))))), (((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) <=> (((~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(B_37)))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) <=> ((~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))), (((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) <=> ((~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))))), ((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) <=> (((~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))))), rewrite((((~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))), ((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))))), (((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_38)))) <=> (((~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(B_38)))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(B_38)))) <=> ((~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))), (((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_38)))) <=> ((~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))))), ((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_38)))) | (~iLEQ(suc(B_36), suc(B_37)))) <=> (((~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~iLEQ(suc(B_36), suc(B_37)))))), rewrite((((~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~iLEQ(suc(B_36), suc(B_37)))) <=> ((~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))), ((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_38)))) | (~iLEQ(suc(B_36), suc(B_37)))) <=> ((~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))))), (((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_38)))) | (~iLEQ(suc(B_36), suc(B_37)))) | tptp_fun__E_(f(A_2), f(suc(A_2)))) <=> (((~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | tptp_fun__E_(f(A_2), f(suc(A_2)))))), rewrite((((~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | tptp_fun__E_(f(A_2), f(suc(A_2)))) <=> (tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))), (((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_38)))) | (~iLEQ(suc(B_36), suc(B_37)))) | tptp_fun__E_(f(A_2), f(suc(A_2)))) <=> (tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))))), ((((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_38)))) | (~iLEQ(suc(B_36), suc(B_37)))) | tptp_fun__E_(f(A_2), f(suc(A_2)))) | tptp_fun__E_(f(B_36), f(suc(B_36)))) <=> ((tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | tptp_fun__E_(f(B_36), f(suc(B_36)))))), rewrite(((tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | tptp_fun__E_(f(B_36), f(suc(B_36)))) <=> (tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))), ((((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_38)))) | (~iLEQ(suc(B_36), suc(B_37)))) | tptp_fun__E_(f(A_2), f(suc(A_2)))) | tptp_fun__E_(f(B_36), f(suc(B_36)))) <=> (tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))))), (((((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_38)))) | (~iLEQ(suc(B_36), suc(B_37)))) | tptp_fun__E_(f(A_2), f(suc(A_2)))) | tptp_fun__E_(f(B_36), f(suc(B_36)))) | tptp_fun__E_(f(B_37), f(suc(B_37)))) <=> ((tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | tptp_fun__E_(f(B_37), f(suc(B_37)))))), rewrite(((tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | tptp_fun__E_(f(B_37), f(suc(B_37)))) <=> (tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))), (((((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_38)))) | (~iLEQ(suc(B_36), suc(B_37)))) | tptp_fun__E_(f(A_2), f(suc(A_2)))) | tptp_fun__E_(f(B_36), f(suc(B_36)))) | tptp_fun__E_(f(B_37), f(suc(B_37)))) <=> (tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))))), ((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_38)))) | (~iLEQ(suc(B_36), suc(B_37)))) | tptp_fun__E_(f(A_2), f(suc(A_2)))) | tptp_fun__E_(f(B_36), f(suc(B_36)))) | tptp_fun__E_(f(B_37), f(suc(B_37)))) | tptp_fun__E_(f(B_38), f(suc(B_38)))) <=> ((tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | tptp_fun__E_(f(B_38), f(suc(B_38)))))), rewrite(((tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | tptp_fun__E_(f(B_38), f(suc(B_38)))) <=> (tptp_fun__E_(f(B_38), f(suc(B_38))) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))), ((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_38)))) | (~iLEQ(suc(B_36), suc(B_37)))) | tptp_fun__E_(f(A_2), f(suc(A_2)))) | tptp_fun__E_(f(B_36), f(suc(B_36)))) | tptp_fun__E_(f(B_37), f(suc(B_37)))) | tptp_fun__E_(f(B_38), f(suc(B_38)))) <=> (tptp_fun__E_(f(B_38), f(suc(B_38))) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))))),
% 0.20/0.52      inference(bind,[status(th)],[])).
% 0.20/0.52  tff(255,plain,
% 0.20/0.52      (![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : (((((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_38)))) | (~iLEQ(suc(B_36), suc(B_37)))) | tptp_fun__E_(f(A_2), f(suc(A_2)))) | tptp_fun__E_(f(B_36), f(suc(B_36)))) | tptp_fun__E_(f(B_37), f(suc(B_37)))) | tptp_fun__E_(f(B_38), f(suc(B_38)))) <=> ![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : (tptp_fun__E_(f(B_38), f(suc(B_38))) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))),
% 0.36/0.52      inference(quant_intro,[status(thm)],[254])).
% 0.36/0.52  tff(256,axiom,(![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : (((((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_38)))) | (~iLEQ(suc(B_36), suc(B_37)))) | tptp_fun__E_(f(A_2), f(suc(A_2)))) | tptp_fun__E_(f(B_36), f(suc(B_36)))) | tptp_fun__E_(f(B_37), f(suc(B_37)))) | tptp_fun__E_(f(B_38), f(suc(B_38))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_325')).
% 0.36/0.52  tff(257,plain,
% 0.36/0.52      (![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : (tptp_fun__E_(f(B_38), f(suc(B_38))) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))),
% 0.36/0.52      inference(modus_ponens,[status(thm)],[256, 255])).
% 0.36/0.52  tff(258,plain,
% 0.36/0.52      (![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : (tptp_fun__E_(f(B_38), f(suc(B_38))) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))),
% 0.36/0.52      inference(modus_ponens,[status(thm)],[257, 253])).
% 0.36/0.52  tff(259,plain,(
% 0.36/0.52      ![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : (tptp_fun__E_(f(B_38), f(suc(B_38))) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))),
% 0.36/0.52      inference(skolemize,[status(sab)],[258])).
% 0.36/0.52  tff(260,plain,
% 0.36/0.52      (![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : (tptp_fun__E_(f(B_38), f(suc(B_38))) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))),
% 0.36/0.52      inference(modus_ponens,[status(thm)],[259, 252])).
% 0.36/0.52  tff(261,plain,
% 0.36/0.52      (((~![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : (tptp_fun__E_(f(B_38), f(suc(B_38))) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))) | ((~tptp_fun__E_(|'0'|, f(suc(z)))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))))) <=> ((~![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : (tptp_fun__E_(f(B_38), f(suc(B_38))) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))))),
% 0.36/0.52      inference(rewrite,[status(thm)],[])).
% 0.36/0.52  tff(262,plain,
% 0.36/0.52      ((tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | tptp_fun__E_(f(z), f(suc(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(z)))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))))),
% 0.36/0.52      inference(rewrite,[status(thm)],[])).
% 0.36/0.52  tff(263,plain,
% 0.36/0.52      (((~![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : (tptp_fun__E_(f(B_38), f(suc(B_38))) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))) | (tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | tptp_fun__E_(f(z), f(suc(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))))) <=> ((~![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : (tptp_fun__E_(f(B_38), f(suc(B_38))) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))) | ((~tptp_fun__E_(|'0'|, f(suc(z)))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z)))))),
% 0.36/0.52      inference(monotonicity,[status(thm)],[262])).
% 0.36/0.52  tff(264,plain,
% 0.36/0.52      (((~![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : (tptp_fun__E_(f(B_38), f(suc(B_38))) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))) | (tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | tptp_fun__E_(f(z), f(suc(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))))) <=> ((~![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : (tptp_fun__E_(f(B_38), f(suc(B_38))) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))))),
% 0.36/0.53      inference(transitivity,[status(thm)],[263, 261])).
% 0.36/0.53  tff(265,plain,
% 0.36/0.53      ((~![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : (tptp_fun__E_(f(B_38), f(suc(B_38))) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))) | (tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | tptp_fun__E_(f(z), f(suc(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))))),
% 0.36/0.53      inference(quant_inst,[status(thm)],[])).
% 0.36/0.53  tff(266,plain,
% 0.36/0.53      ((~![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : (tptp_fun__E_(f(B_38), f(suc(B_38))) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z)))),
% 0.36/0.53      inference(modus_ponens,[status(thm)],[265, 264])).
% 0.36/0.53  tff(267,plain,
% 0.36/0.53      ($false),
% 0.36/0.53      inference(unit_resolution,[status(thm)],[266, 260, 163, 231, 250, 162])).
% 0.36/0.53  tff(268,plain,((~tptp_fun__E_(|'0'|, f(suc(z)))) | tptp_fun__E_(f(z), f(suc(z)))), inference(lemma,lemma(discharge,[]))).
% 0.36/0.53  tff(269,plain,
% 0.36/0.53      (tptp_fun__E_(f(z), f(suc(z)))),
% 0.36/0.53      inference(unit_resolution,[status(thm)],[268, 161])).
% 0.36/0.53  tff(270,assumption,(tptp_fun__E_(|'0'|, f(suc(suc(z))))), introduced(assumption)).
% 0.36/0.53  tff(271,plain,
% 0.36/0.53      (^[A_2: $i] : refl((iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) <=> (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2)))))),
% 0.36/0.53      inference(bind,[status(th)],[])).
% 0.36/0.53  tff(272,plain,
% 0.36/0.53      (![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) <=> ![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2))))),
% 0.36/0.53      inference(quant_intro,[status(thm)],[271])).
% 0.36/0.53  tff(273,plain,
% 0.36/0.53      (![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) <=> ![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2))))),
% 0.36/0.53      inference(rewrite,[status(thm)],[])).
% 0.36/0.53  tff(274,plain,
% 0.36/0.53      (^[A_2: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))), ((((~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(f(A_2), f(suc(A_2))))) <=> (((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(f(A_2), f(suc(A_2))))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(f(A_2), f(suc(A_2))))) <=> ((~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))), ((((~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(f(A_2), f(suc(A_2))))) <=> ((~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))))), (((((~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(f(A_2), f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) <=> (((~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))))), rewrite((((~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) <=> ((~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2))))), (((((~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(f(A_2), f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) <=> ((~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2)))))), ((((((~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(f(A_2), f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | iLEQ(suc(A_2), suc(A_2))) <=> (((~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | iLEQ(suc(A_2), suc(A_2))))), rewrite((((~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | iLEQ(suc(A_2), suc(A_2))) <=> (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2))))), ((((((~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(f(A_2), f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | iLEQ(suc(A_2), suc(A_2))) <=> (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2))))))),
% 0.36/0.53      inference(bind,[status(th)],[])).
% 0.36/0.53  tff(275,plain,
% 0.36/0.53      (![A_2: $i] : (((((~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(f(A_2), f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | iLEQ(suc(A_2), suc(A_2))) <=> ![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2))))),
% 0.36/0.53      inference(quant_intro,[status(thm)],[274])).
% 0.36/0.53  tff(276,axiom,(![A_2: $i] : (((((~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(f(A_2), f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | iLEQ(suc(A_2), suc(A_2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_448')).
% 0.36/0.53  tff(277,plain,
% 0.36/0.53      (![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2))))),
% 0.36/0.53      inference(modus_ponens,[status(thm)],[276, 275])).
% 0.36/0.53  tff(278,plain,
% 0.36/0.53      (![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2))))),
% 0.36/0.53      inference(modus_ponens,[status(thm)],[277, 273])).
% 0.36/0.53  tff(279,plain,(
% 0.36/0.53      ![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2))))),
% 0.36/0.53      inference(skolemize,[status(sab)],[278])).
% 0.36/0.53  tff(280,plain,
% 0.36/0.53      (![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2))))),
% 0.36/0.53      inference(modus_ponens,[status(thm)],[279, 272])).
% 0.36/0.53  tff(281,plain,
% 0.36/0.53      (((~![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2))))) | ((~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))))) <=> ((~![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))))),
% 0.36/0.53      inference(rewrite,[status(thm)],[])).
% 0.36/0.53  tff(282,plain,
% 0.36/0.53      ((iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(z)))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))))),
% 0.36/0.53      inference(rewrite,[status(thm)],[])).
% 0.36/0.53  tff(283,plain,
% 0.36/0.53      (((~![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2))))) | (iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(z))))) <=> ((~![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2))))) | ((~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z)))))),
% 0.36/0.53      inference(monotonicity,[status(thm)],[282])).
% 0.36/0.53  tff(284,plain,
% 0.36/0.53      (((~![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2))))) | (iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(z))))) <=> ((~![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))))),
% 0.36/0.53      inference(transitivity,[status(thm)],[283, 281])).
% 0.36/0.53  tff(285,plain,
% 0.36/0.53      ((~![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2))))) | (iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(z))))),
% 0.36/0.53      inference(quant_inst,[status(thm)],[])).
% 0.36/0.53  tff(286,plain,
% 0.36/0.53      ((~![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z)))),
% 0.36/0.53      inference(modus_ponens,[status(thm)],[285, 284])).
% 0.36/0.53  tff(287,plain,
% 0.36/0.53      ((~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z)))),
% 0.36/0.53      inference(unit_resolution,[status(thm)],[286, 280])).
% 0.36/0.53  tff(288,plain,
% 0.36/0.53      ((~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(f(z), f(suc(z))))),
% 0.36/0.53      inference(unit_resolution,[status(thm)],[287, 231])).
% 0.36/0.53  tff(289,plain,
% 0.36/0.53      (iLEQ(suc(z), suc(z))),
% 0.36/0.53      inference(unit_resolution,[status(thm)],[288, 270, 161, 269])).
% 0.36/0.53  tff(290,plain,
% 0.36/0.53      (^[B_38: $i, B_37: $i, A_2: $i, B_36: $i] : refl(((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))))),
% 0.36/0.53      inference(bind,[status(th)],[])).
% 0.36/0.53  tff(291,plain,
% 0.36/0.53      (![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) <=> ![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))),
% 0.36/0.53      inference(quant_intro,[status(thm)],[290])).
% 0.36/0.53  tff(292,plain,
% 0.36/0.53      (![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) <=> ![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))),
% 0.36/0.53      inference(rewrite,[status(thm)],[])).
% 0.36/0.53  tff(293,plain,
% 0.36/0.53      (^[B_38: $i, B_37: $i, A_2: $i, B_36: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) <=> ((~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))), (((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) <=> (((~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))))), rewrite((((~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))), (((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))))), ((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) <=> (((~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) <=> ((~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))), ((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) <=> ((~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))))), (((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) <=> (((~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))))), rewrite((((~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))), (((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))))), ((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) <=> (((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))))), rewrite((((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))), ((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))))), (((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) <=> (((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~iLEQ(suc(B_37), suc(B_38)))))), rewrite((((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~iLEQ(suc(B_37), suc(B_38)))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))), (((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))))), ((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) <=> (((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))))), rewrite((((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))), ((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))))), (((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) <=> (((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~iLEQ(suc(A_2), suc(B_36)))))), rewrite((((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~iLEQ(suc(A_2), suc(B_36)))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))), (((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))))), ((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36))))) <=> (((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(f(B_36), f(suc(B_36))))))), rewrite((((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(f(B_36), f(suc(B_36))))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))), ((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36))))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))))), (((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) <=> (((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))))), rewrite((((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))), (((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))))), ((((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) <=> (((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_37)))))), rewrite((((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))), ((((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))))), (((((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38)))))) <=> (((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38)))))))), rewrite((((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38)))))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))), (((((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38)))))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))))), ((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) <=> (((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))))), rewrite((((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))), ((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))))), (((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) | (~tptp_fun__E_(f(B_37), f(suc(B_37))))) <=> (((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(f(B_37), f(suc(B_37))))))), rewrite((((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(f(B_37), f(suc(B_37))))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))), (((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) | (~tptp_fun__E_(f(B_37), f(suc(B_37))))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))))), ((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) | (~tptp_fun__E_(f(B_37), f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_38)))) <=> (((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_38)))))), rewrite((((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_38)))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))), ((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) | (~tptp_fun__E_(f(B_37), f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_38)))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))))), (((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) | (~tptp_fun__E_(f(B_37), f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_38)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2))))) <=> (((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(f(A_2), f(suc(A_2))))))), rewrite((((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(f(A_2), f(suc(A_2))))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))), (((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) | (~tptp_fun__E_(f(B_37), f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_38)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2))))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))))), ((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) | (~tptp_fun__E_(f(B_37), f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_38)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2))))) | (~iLEQ(suc(B_36), suc(B_37)))) <=> (((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~iLEQ(suc(B_36), suc(B_37)))))), rewrite((((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~iLEQ(suc(B_36), suc(B_37)))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))), ((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) | (~tptp_fun__E_(f(B_37), f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_38)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2))))) | (~iLEQ(suc(B_36), suc(B_37)))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))))),
% 0.38/0.54      inference(bind,[status(th)],[])).
% 0.38/0.54  tff(294,plain,
% 0.38/0.54      (![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : (((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) | (~tptp_fun__E_(f(B_37), f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_38)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2))))) | (~iLEQ(suc(B_36), suc(B_37)))) <=> ![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))),
% 0.38/0.54      inference(quant_intro,[status(thm)],[293])).
% 0.38/0.54  tff(295,axiom,(![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : (((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) | (~tptp_fun__E_(f(B_37), f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_38)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2))))) | (~iLEQ(suc(B_36), suc(B_37))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_593')).
% 0.38/0.54  tff(296,plain,
% 0.38/0.54      (![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))),
% 0.38/0.54      inference(modus_ponens,[status(thm)],[295, 294])).
% 0.38/0.54  tff(297,plain,
% 0.38/0.54      (![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))),
% 0.38/0.54      inference(modus_ponens,[status(thm)],[296, 292])).
% 0.38/0.54  tff(298,plain,(
% 0.38/0.54      ![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))),
% 0.38/0.54      inference(skolemize,[status(sab)],[297])).
% 0.38/0.54  tff(299,plain,
% 0.38/0.54      (![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))),
% 0.38/0.54      inference(modus_ponens,[status(thm)],[298, 291])).
% 0.38/0.54  tff(300,plain,
% 0.38/0.54      (((~![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))) | ((~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))))) <=> ((~![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))))),
% 0.38/0.55      inference(rewrite,[status(thm)],[])).
% 0.38/0.55  tff(301,plain,
% 0.38/0.55      (((~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z)))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))))),
% 0.38/0.55      inference(rewrite,[status(thm)],[])).
% 0.38/0.55  tff(302,plain,
% 0.38/0.55      (((~![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))) | ((~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))))) <=> ((~![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))) | ((~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z)))))),
% 0.38/0.55      inference(monotonicity,[status(thm)],[301])).
% 0.38/0.55  tff(303,plain,
% 0.38/0.55      (((~![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))) | ((~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))))) <=> ((~![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))))),
% 0.38/0.55      inference(transitivity,[status(thm)],[302, 300])).
% 0.38/0.55  tff(304,plain,
% 0.38/0.55      ((~![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))) | ((~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))))),
% 0.38/0.55      inference(quant_inst,[status(thm)],[])).
% 0.38/0.55  tff(305,plain,
% 0.38/0.55      ((~![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z)))),
% 0.38/0.55      inference(modus_ponens,[status(thm)],[304, 303])).
% 0.38/0.55  tff(306,plain,
% 0.38/0.55      ($false),
% 0.38/0.55      inference(unit_resolution,[status(thm)],[305, 299, 270, 161, 231, 289, 269])).
% 0.38/0.55  tff(307,plain,(~tptp_fun__E_(|'0'|, f(suc(suc(z))))), inference(lemma,lemma(discharge,[]))).
% 0.38/0.55  tff(308,plain,
% 0.38/0.55      (^[B_35: $i] : refl((tptp_fun__LE_(f(B_35), |'0'|) | tptp_fun__E_(|'0'|, f(suc(suc(B_35)))) | (~tptp_fun__LE_(f(suc(suc(B_35))), s(|'0'|)))) <=> (tptp_fun__LE_(f(B_35), |'0'|) | tptp_fun__E_(|'0'|, f(suc(suc(B_35)))) | (~tptp_fun__LE_(f(suc(suc(B_35))), s(|'0'|)))))),
% 0.38/0.55      inference(bind,[status(th)],[])).
% 0.38/0.55  tff(309,plain,
% 0.38/0.55      (![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | tptp_fun__E_(|'0'|, f(suc(suc(B_35)))) | (~tptp_fun__LE_(f(suc(suc(B_35))), s(|'0'|)))) <=> ![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | tptp_fun__E_(|'0'|, f(suc(suc(B_35)))) | (~tptp_fun__LE_(f(suc(suc(B_35))), s(|'0'|))))),
% 0.38/0.55      inference(quant_intro,[status(thm)],[308])).
% 0.38/0.55  tff(310,plain,
% 0.38/0.55      (![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | tptp_fun__E_(|'0'|, f(suc(suc(B_35)))) | (~tptp_fun__LE_(f(suc(suc(B_35))), s(|'0'|)))) <=> ![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | tptp_fun__E_(|'0'|, f(suc(suc(B_35)))) | (~tptp_fun__LE_(f(suc(suc(B_35))), s(|'0'|))))),
% 0.38/0.55      inference(rewrite,[status(thm)],[])).
% 0.38/0.55  tff(311,plain,
% 0.38/0.55      (^[B_35: $i] : rewrite((((~tptp_fun__LE_(f(suc(suc(B_35))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_35))))) | tptp_fun__LE_(f(B_35), |'0'|)) <=> (tptp_fun__LE_(f(B_35), |'0'|) | tptp_fun__E_(|'0'|, f(suc(suc(B_35)))) | (~tptp_fun__LE_(f(suc(suc(B_35))), s(|'0'|)))))),
% 0.38/0.55      inference(bind,[status(th)],[])).
% 0.38/0.55  tff(312,plain,
% 0.38/0.55      (![B_35: $i] : (((~tptp_fun__LE_(f(suc(suc(B_35))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_35))))) | tptp_fun__LE_(f(B_35), |'0'|)) <=> ![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | tptp_fun__E_(|'0'|, f(suc(suc(B_35)))) | (~tptp_fun__LE_(f(suc(suc(B_35))), s(|'0'|))))),
% 0.38/0.55      inference(quant_intro,[status(thm)],[311])).
% 0.38/0.55  tff(313,axiom,(![B_35: $i] : (((~tptp_fun__LE_(f(suc(suc(B_35))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_35))))) | tptp_fun__LE_(f(B_35), |'0'|))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_93')).
% 0.38/0.55  tff(314,plain,
% 0.38/0.55      (![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | tptp_fun__E_(|'0'|, f(suc(suc(B_35)))) | (~tptp_fun__LE_(f(suc(suc(B_35))), s(|'0'|))))),
% 0.38/0.55      inference(modus_ponens,[status(thm)],[313, 312])).
% 0.38/0.55  tff(315,plain,
% 0.38/0.55      (![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | tptp_fun__E_(|'0'|, f(suc(suc(B_35)))) | (~tptp_fun__LE_(f(suc(suc(B_35))), s(|'0'|))))),
% 0.38/0.55      inference(modus_ponens,[status(thm)],[314, 310])).
% 0.38/0.55  tff(316,plain,(
% 0.38/0.55      ![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | tptp_fun__E_(|'0'|, f(suc(suc(B_35)))) | (~tptp_fun__LE_(f(suc(suc(B_35))), s(|'0'|))))),
% 0.38/0.55      inference(skolemize,[status(sab)],[315])).
% 0.38/0.55  tff(317,plain,
% 0.38/0.55      (![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | tptp_fun__E_(|'0'|, f(suc(suc(B_35)))) | (~tptp_fun__LE_(f(suc(suc(B_35))), s(|'0'|))))),
% 0.38/0.55      inference(modus_ponens,[status(thm)],[316, 309])).
% 0.38/0.55  tff(318,plain,
% 0.38/0.55      (((~![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | tptp_fun__E_(|'0'|, f(suc(suc(B_35)))) | (~tptp_fun__LE_(f(suc(suc(B_35))), s(|'0'|))))) | (tptp_fun__LE_(f(z), |'0'|) | tptp_fun__E_(|'0'|, f(suc(suc(z)))) | (~tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))))) <=> ((~![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | tptp_fun__E_(|'0'|, f(suc(suc(B_35)))) | (~tptp_fun__LE_(f(suc(suc(B_35))), s(|'0'|))))) | tptp_fun__LE_(f(z), |'0'|) | tptp_fun__E_(|'0'|, f(suc(suc(z)))) | (~tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))))),
% 0.38/0.55      inference(rewrite,[status(thm)],[])).
% 0.38/0.55  tff(319,plain,
% 0.38/0.55      ((~![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | tptp_fun__E_(|'0'|, f(suc(suc(B_35)))) | (~tptp_fun__LE_(f(suc(suc(B_35))), s(|'0'|))))) | (tptp_fun__LE_(f(z), |'0'|) | tptp_fun__E_(|'0'|, f(suc(suc(z)))) | (~tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))))),
% 0.38/0.55      inference(quant_inst,[status(thm)],[])).
% 0.38/0.55  tff(320,plain,
% 0.38/0.55      ((~![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | tptp_fun__E_(|'0'|, f(suc(suc(B_35)))) | (~tptp_fun__LE_(f(suc(suc(B_35))), s(|'0'|))))) | tptp_fun__LE_(f(z), |'0'|) | tptp_fun__E_(|'0'|, f(suc(suc(z)))) | (~tptp_fun__LE_(f(suc(suc(z))), s(|'0'|)))),
% 0.38/0.55      inference(modus_ponens,[status(thm)],[319, 318])).
% 0.38/0.55  tff(321,plain,
% 0.38/0.55      (tptp_fun__E_(|'0'|, f(suc(suc(z)))) | (~tptp_fun__LE_(f(suc(suc(z))), s(|'0'|)))),
% 0.38/0.55      inference(unit_resolution,[status(thm)],[320, 146, 317])).
% 0.38/0.55  tff(322,plain,
% 0.38/0.55      (~tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))),
% 0.38/0.55      inference(unit_resolution,[status(thm)],[321, 307])).
% 0.38/0.55  tff(323,plain,
% 0.38/0.55      (((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23))))) | (tptp_fun__LE_(f(suc(suc(z))), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(suc(z)))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z))))))) <=> ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23))))) | tptp_fun__LE_(f(suc(suc(z))), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(suc(z)))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z))))))),
% 0.38/0.55      inference(rewrite,[status(thm)],[])).
% 0.38/0.55  tff(324,plain,
% 0.38/0.55      ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23))))) | (tptp_fun__LE_(f(suc(suc(z))), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(suc(z)))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z))))))),
% 0.38/0.55      inference(quant_inst,[status(thm)],[])).
% 0.38/0.55  tff(325,plain,
% 0.38/0.55      ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23))))) | tptp_fun__LE_(f(suc(suc(z))), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(suc(z)))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))),
% 0.38/0.55      inference(modus_ponens,[status(thm)],[324, 323])).
% 0.38/0.55  tff(326,plain,
% 0.38/0.55      (tptp_fun__LE_(f(suc(suc(z))), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(suc(z)))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))),
% 0.38/0.55      inference(unit_resolution,[status(thm)],[325, 64])).
% 0.38/0.55  tff(327,plain,
% 0.38/0.55      (tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))),
% 0.38/0.55      inference(unit_resolution,[status(thm)],[326, 322, 12])).
% 0.38/0.55  tff(328,plain,
% 0.38/0.55      (((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23)))) | (tptp_fun__LE_(f(suc(suc(z))), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(z))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(z)))))) <=> ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23)))) | tptp_fun__LE_(f(suc(suc(z))), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(z))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(z)))))),
% 0.38/0.55      inference(rewrite,[status(thm)],[])).
% 0.38/0.55  tff(329,plain,
% 0.38/0.55      ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23)))) | (tptp_fun__LE_(f(suc(suc(z))), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(z))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(z)))))),
% 0.38/0.55      inference(quant_inst,[status(thm)],[])).
% 0.38/0.55  tff(330,plain,
% 0.38/0.55      ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23)))) | tptp_fun__LE_(f(suc(suc(z))), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(z))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(z))))),
% 0.38/0.55      inference(modus_ponens,[status(thm)],[329, 328])).
% 0.38/0.55  tff(331,plain,
% 0.38/0.55      (tptp_fun__LE_(f(suc(suc(z))), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(suc(suc(z))))),
% 0.38/0.55      inference(unit_resolution,[status(thm)],[330, 42, 54])).
% 0.38/0.55  tff(332,plain,
% 0.38/0.55      (tptp_fun__E_(s(|'0'|), f(suc(suc(z))))),
% 0.38/0.55      inference(unit_resolution,[status(thm)],[331, 322])).
% 0.38/0.55  tff(333,plain,
% 0.38/0.55      (((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | ((~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))))) <=> ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))))),
% 0.38/0.55      inference(rewrite,[status(thm)],[])).
% 0.38/0.55  tff(334,plain,
% 0.38/0.55      ((iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z)))))) <=> ((~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))))),
% 0.38/0.55      inference(rewrite,[status(thm)],[])).
% 0.38/0.55  tff(335,plain,
% 0.38/0.55      (((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))))) <=> ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | ((~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))))),
% 0.38/0.55      inference(monotonicity,[status(thm)],[334])).
% 0.38/0.55  tff(336,plain,
% 0.38/0.55      (((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))))) <=> ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))))),
% 0.38/0.55      inference(transitivity,[status(thm)],[335, 333])).
% 0.38/0.55  tff(337,plain,
% 0.38/0.55      ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))))),
% 0.38/0.55      inference(quant_inst,[status(thm)],[])).
% 0.38/0.55  tff(338,plain,
% 0.38/0.55      ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))),
% 0.38/0.55      inference(modus_ponens,[status(thm)],[337, 336])).
% 0.38/0.55  tff(339,plain,
% 0.38/0.55      ((~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))),
% 0.38/0.55      inference(unit_resolution,[status(thm)],[338, 83])).
% 0.38/0.55  tff(340,plain,
% 0.38/0.55      (iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))),
% 0.38/0.55      inference(unit_resolution,[status(thm)],[339, 1, 332, 327])).
% 0.38/0.55  tff(341,plain,
% 0.38/0.55      (((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | ((~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))))) <=> ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))))),
% 0.38/0.55      inference(rewrite,[status(thm)],[])).
% 0.38/0.55  tff(342,plain,
% 0.38/0.55      ((tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))))) <=> ((~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))))),
% 0.38/0.55      inference(rewrite,[status(thm)],[])).
% 0.38/0.55  tff(343,plain,
% 0.38/0.55      (((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))))) <=> ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | ((~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))))))),
% 0.38/0.55      inference(monotonicity,[status(thm)],[342])).
% 0.38/0.55  tff(344,plain,
% 0.38/0.55      (((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))))) <=> ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))))),
% 0.38/0.55      inference(transitivity,[status(thm)],[343, 341])).
% 0.38/0.55  tff(345,plain,
% 0.38/0.55      ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))))),
% 0.38/0.55      inference(quant_inst,[status(thm)],[])).
% 0.38/0.55  tff(346,plain,
% 0.38/0.55      ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))))),
% 0.38/0.55      inference(modus_ponens,[status(thm)],[345, 344])).
% 0.38/0.55  tff(347,plain,
% 0.38/0.55      ($false),
% 0.38/0.55      inference(unit_resolution,[status(thm)],[346, 118, 332, 327, 340, 1])).
% 0.38/0.55  tff(348,plain,(tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))), inference(lemma,lemma(discharge,[]))).
% 0.38/0.55  tff(349,assumption,(~tptp_fun__LE_(f(suc(suc(suc(suc(z))))), s(s(|'0'|)))), introduced(assumption)).
% 0.38/0.55  tff(350,plain,
% 0.38/0.55      ((~![A: $i] : tptp_fun__LE_(f(A), s(s(|'0'|)))) | tptp_fun__LE_(f(suc(suc(suc(suc(z))))), s(s(|'0'|)))),
% 0.38/0.55      inference(quant_inst,[status(thm)],[])).
% 0.38/0.55  tff(351,plain,
% 0.38/0.55      ($false),
% 0.38/0.55      inference(unit_resolution,[status(thm)],[350, 9, 349])).
% 0.38/0.55  tff(352,plain,(tptp_fun__LE_(f(suc(suc(suc(suc(z))))), s(s(|'0'|)))), inference(lemma,lemma(discharge,[]))).
% 0.38/0.55  tff(353,plain,
% 0.38/0.55      (((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23)))))) | (tptp_fun__LE_(f(suc(suc(z))), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(suc(suc(z))))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z)))))))) <=> ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23)))))) | tptp_fun__LE_(f(suc(suc(z))), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(suc(suc(z))))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z)))))))),
% 0.38/0.55      inference(rewrite,[status(thm)],[])).
% 0.38/0.55  tff(354,plain,
% 0.38/0.55      ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23)))))) | (tptp_fun__LE_(f(suc(suc(z))), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(suc(suc(z))))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z)))))))),
% 0.38/0.55      inference(quant_inst,[status(thm)],[])).
% 0.38/0.55  tff(355,plain,
% 0.38/0.55      ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23)))))) | tptp_fun__LE_(f(suc(suc(z))), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(suc(suc(z))))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))),
% 0.38/0.56      inference(modus_ponens,[status(thm)],[354, 353])).
% 0.38/0.56  tff(356,plain,
% 0.38/0.56      (tptp_fun__LE_(f(suc(suc(z))), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(suc(suc(z))))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))),
% 0.38/0.56      inference(unit_resolution,[status(thm)],[355, 23])).
% 0.38/0.56  tff(357,plain,
% 0.38/0.56      (tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))),
% 0.38/0.56      inference(unit_resolution,[status(thm)],[356, 352, 322])).
% 0.38/0.56  tff(358,plain,
% 0.38/0.56      (((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | ((~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))))) <=> ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))))),
% 0.38/0.56      inference(rewrite,[status(thm)],[])).
% 0.38/0.56  tff(359,plain,
% 0.38/0.56      ((iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z)))))) <=> ((~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))))),
% 0.38/0.56      inference(rewrite,[status(thm)],[])).
% 0.38/0.56  tff(360,plain,
% 0.38/0.56      (((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))))) <=> ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | ((~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z)))))))))),
% 0.38/0.56      inference(monotonicity,[status(thm)],[359])).
% 0.38/0.56  tff(361,plain,
% 0.38/0.56      (((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))))) <=> ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))))),
% 0.38/0.56      inference(transitivity,[status(thm)],[360, 358])).
% 0.38/0.56  tff(362,plain,
% 0.38/0.56      ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))))),
% 0.38/0.56      inference(quant_inst,[status(thm)],[])).
% 0.38/0.56  tff(363,plain,
% 0.38/0.56      ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z)))))))),
% 0.38/0.56      inference(modus_ponens,[status(thm)],[362, 361])).
% 0.38/0.56  tff(364,plain,
% 0.38/0.56      ((~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z)))))))),
% 0.38/0.56      inference(unit_resolution,[status(thm)],[363, 98])).
% 0.38/0.56  tff(365,plain,
% 0.38/0.56      (iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))),
% 0.38/0.56      inference(unit_resolution,[status(thm)],[364, 357, 332, 327, 348])).
% 0.38/0.56  tff(366,plain,
% 0.38/0.56      (((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | ((~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))))) <=> ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))))),
% 0.38/0.56      inference(rewrite,[status(thm)],[])).
% 0.38/0.56  tff(367,plain,
% 0.38/0.56      (((~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))))) <=> ((~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))))),
% 0.38/0.56      inference(rewrite,[status(thm)],[])).
% 0.38/0.56  tff(368,plain,
% 0.38/0.56      (((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | ((~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))))) <=> ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | ((~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))))))),
% 0.38/0.56      inference(monotonicity,[status(thm)],[367])).
% 0.38/0.56  tff(369,plain,
% 0.38/0.56      (((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | ((~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))))) <=> ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))))),
% 0.38/0.56      inference(transitivity,[status(thm)],[368, 366])).
% 0.38/0.56  tff(370,plain,
% 0.38/0.56      ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | ((~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))))),
% 0.38/0.57      inference(quant_inst,[status(thm)],[])).
% 0.38/0.57  tff(371,plain,
% 0.38/0.57      ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))))),
% 0.38/0.57      inference(modus_ponens,[status(thm)],[370, 369])).
% 0.38/0.57  tff(372,plain,
% 0.38/0.57      ($false),
% 0.38/0.57      inference(unit_resolution,[status(thm)],[371, 135, 332, 327, 357, 365, 348])).
% 0.38/0.57  % SZS output end Proof
% 0.38/0.57  % E exiting
%------------------------------------------------------------------------------