TSTP Solution File: SYO656-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYO656-1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n024.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 : Fri Sep 30 01:41:12 EDT 2022
% Result : Unsatisfiable 0.98s 0.91s
% Output : Proof 1.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYO656-1 : TPTP v8.1.0. Released v7.3.0.
% 0.11/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Sep 5 15:47:03 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 0.98/0.91 % SZS status Unsatisfiable
% 0.98/0.91 % SZS output start Proof
% 0.98/0.91 tff(iLEQ_type, type, (
% 0.98/0.91 iLEQ: ( $i * $i ) > $o)).
% 0.98/0.91 tff(suc_type, type, (
% 0.98/0.91 suc: $i > $i)).
% 0.98/0.91 tff(z_type, type, (
% 0.98/0.91 z: $i)).
% 0.98/0.91 tff(tptp_fun__E__type, type, (
% 0.98/0.91 tptp_fun__E_: ( $i * $i ) > $o)).
% 0.98/0.91 tff(f_type, type, (
% 0.98/0.91 f: $i > $i)).
% 0.98/0.91 tff(tptp_fun__0__type, type, (
% 0.98/0.91 tptp_fun__0_: $i)).
% 0.98/0.91 tff(tptp_fun__LE__type, type, (
% 0.98/0.91 tptp_fun__LE_: ( $i * $i ) > $o)).
% 0.98/0.91 tff(s_type, type, (
% 0.98/0.91 s: $i > $i)).
% 0.98/0.91 tff(1,assumption,(~tptp_fun__E_(f(z), f(suc(z)))), introduced(assumption)).
% 0.98/0.91 tff(2,assumption,(~tptp_fun__LE_(f(suc(z)), s(|'0'|))), introduced(assumption)).
% 0.98/0.91 tff(3,plain,
% 0.98/0.91 (^[A: $i] : refl(tptp_fun__LE_(f(A), s(|'0'|)) <=> tptp_fun__LE_(f(A), s(|'0'|)))),
% 0.98/0.91 inference(bind,[status(th)],[])).
% 0.98/0.91 tff(4,plain,
% 0.98/0.91 (![A: $i] : tptp_fun__LE_(f(A), s(|'0'|)) <=> ![A: $i] : tptp_fun__LE_(f(A), s(|'0'|))),
% 0.98/0.91 inference(quant_intro,[status(thm)],[3])).
% 0.98/0.91 tff(5,plain,
% 0.98/0.91 (![A: $i] : tptp_fun__LE_(f(A), s(|'0'|)) <=> ![A: $i] : tptp_fun__LE_(f(A), s(|'0'|))),
% 0.98/0.91 inference(rewrite,[status(thm)],[])).
% 0.98/0.91 tff(6,axiom,(![A: $i] : tptp_fun__LE_(f(A), s(|'0'|))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_1153')).
% 0.98/0.91 tff(7,plain,
% 0.98/0.91 (![A: $i] : tptp_fun__LE_(f(A), s(|'0'|))),
% 0.98/0.91 inference(modus_ponens,[status(thm)],[6, 5])).
% 0.98/0.91 tff(8,plain,(
% 0.98/0.91 ![A: $i] : tptp_fun__LE_(f(A), s(|'0'|))),
% 0.98/0.91 inference(skolemize,[status(sab)],[7])).
% 0.98/0.91 tff(9,plain,
% 0.98/0.91 (![A: $i] : tptp_fun__LE_(f(A), s(|'0'|))),
% 0.98/0.91 inference(modus_ponens,[status(thm)],[8, 4])).
% 0.98/0.91 tff(10,plain,
% 0.98/0.91 ((~![A: $i] : tptp_fun__LE_(f(A), s(|'0'|))) | tptp_fun__LE_(f(suc(z)), s(|'0'|))),
% 0.98/0.91 inference(quant_inst,[status(thm)],[])).
% 0.98/0.91 tff(11,plain,
% 0.98/0.91 ($false),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[10, 9, 2])).
% 0.98/0.91 tff(12,plain,(tptp_fun__LE_(f(suc(z)), s(|'0'|))), inference(lemma,lemma(discharge,[]))).
% 0.98/0.91 tff(13,plain,
% 0.98/0.91 (^[B_23: $i] : refl((tptp_fun__E_(|'0'|, f(suc(B_23))) | (~tptp_fun__LE_(f(suc(B_23)), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|)) <=> (tptp_fun__E_(|'0'|, f(suc(B_23))) | (~tptp_fun__LE_(f(suc(B_23)), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|)))),
% 0.98/0.91 inference(bind,[status(th)],[])).
% 0.98/0.91 tff(14,plain,
% 0.98/0.91 (![B_23: $i] : (tptp_fun__E_(|'0'|, f(suc(B_23))) | (~tptp_fun__LE_(f(suc(B_23)), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|)) <=> ![B_23: $i] : (tptp_fun__E_(|'0'|, f(suc(B_23))) | (~tptp_fun__LE_(f(suc(B_23)), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))),
% 0.98/0.91 inference(quant_intro,[status(thm)],[13])).
% 0.98/0.91 tff(15,plain,
% 0.98/0.91 (![B_23: $i] : (tptp_fun__E_(|'0'|, f(suc(B_23))) | (~tptp_fun__LE_(f(suc(B_23)), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|)) <=> ![B_23: $i] : (tptp_fun__E_(|'0'|, f(suc(B_23))) | (~tptp_fun__LE_(f(suc(B_23)), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))),
% 0.98/0.91 inference(rewrite,[status(thm)],[])).
% 0.98/0.91 tff(16,plain,
% 0.98/0.91 (^[B_23: $i] : rewrite((((~tptp_fun__LE_(f(suc(B_23)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_23)))) | tptp_fun__LE_(f(B_23), |'0'|)) <=> (tptp_fun__E_(|'0'|, f(suc(B_23))) | (~tptp_fun__LE_(f(suc(B_23)), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|)))),
% 0.98/0.91 inference(bind,[status(th)],[])).
% 0.98/0.91 tff(17,plain,
% 0.98/0.91 (![B_23: $i] : (((~tptp_fun__LE_(f(suc(B_23)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_23)))) | tptp_fun__LE_(f(B_23), |'0'|)) <=> ![B_23: $i] : (tptp_fun__E_(|'0'|, f(suc(B_23))) | (~tptp_fun__LE_(f(suc(B_23)), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))),
% 0.98/0.91 inference(quant_intro,[status(thm)],[16])).
% 0.98/0.91 tff(18,axiom,(![B_23: $i] : (((~tptp_fun__LE_(f(suc(B_23)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_23)))) | tptp_fun__LE_(f(B_23), |'0'|))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_968')).
% 0.98/0.91 tff(19,plain,
% 0.98/0.91 (![B_23: $i] : (tptp_fun__E_(|'0'|, f(suc(B_23))) | (~tptp_fun__LE_(f(suc(B_23)), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))),
% 0.98/0.91 inference(modus_ponens,[status(thm)],[18, 17])).
% 0.98/0.91 tff(20,plain,
% 0.98/0.91 (![B_23: $i] : (tptp_fun__E_(|'0'|, f(suc(B_23))) | (~tptp_fun__LE_(f(suc(B_23)), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))),
% 0.98/0.91 inference(modus_ponens,[status(thm)],[19, 15])).
% 0.98/0.91 tff(21,plain,(
% 0.98/0.91 ![B_23: $i] : (tptp_fun__E_(|'0'|, f(suc(B_23))) | (~tptp_fun__LE_(f(suc(B_23)), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))),
% 0.98/0.91 inference(skolemize,[status(sab)],[20])).
% 0.98/0.91 tff(22,plain,
% 0.98/0.91 (![B_23: $i] : (tptp_fun__E_(|'0'|, f(suc(B_23))) | (~tptp_fun__LE_(f(suc(B_23)), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))),
% 0.98/0.91 inference(modus_ponens,[status(thm)],[21, 14])).
% 0.98/0.91 tff(23,plain,
% 0.98/0.91 ((~tptp_fun__LE_(f(z), |'0'|)) <=> (~tptp_fun__LE_(f(z), |'0'|))),
% 0.98/0.91 inference(rewrite,[status(thm)],[])).
% 0.98/0.91 tff(24,axiom,(~tptp_fun__LE_(f(z), |'0'|)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_613')).
% 0.98/0.91 tff(25,plain,
% 0.98/0.91 (~tptp_fun__LE_(f(z), |'0'|)),
% 0.98/0.91 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.98/0.91 tff(26,plain,
% 0.98/0.91 (((~![B_23: $i] : (tptp_fun__E_(|'0'|, f(suc(B_23))) | (~tptp_fun__LE_(f(suc(B_23)), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))) | (tptp_fun__LE_(f(z), |'0'|) | tptp_fun__E_(|'0'|, f(suc(z))) | (~tptp_fun__LE_(f(suc(z)), s(|'0'|))))) <=> ((~![B_23: $i] : (tptp_fun__E_(|'0'|, f(suc(B_23))) | (~tptp_fun__LE_(f(suc(B_23)), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))) | tptp_fun__LE_(f(z), |'0'|) | tptp_fun__E_(|'0'|, f(suc(z))) | (~tptp_fun__LE_(f(suc(z)), s(|'0'|))))),
% 0.98/0.91 inference(rewrite,[status(thm)],[])).
% 0.98/0.91 tff(27,plain,
% 0.98/0.91 ((tptp_fun__E_(|'0'|, f(suc(z))) | (~tptp_fun__LE_(f(suc(z)), s(|'0'|))) | tptp_fun__LE_(f(z), |'0'|)) <=> (tptp_fun__LE_(f(z), |'0'|) | tptp_fun__E_(|'0'|, f(suc(z))) | (~tptp_fun__LE_(f(suc(z)), s(|'0'|))))),
% 0.98/0.91 inference(rewrite,[status(thm)],[])).
% 0.98/0.91 tff(28,plain,
% 0.98/0.91 (((~![B_23: $i] : (tptp_fun__E_(|'0'|, f(suc(B_23))) | (~tptp_fun__LE_(f(suc(B_23)), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))) | (tptp_fun__E_(|'0'|, f(suc(z))) | (~tptp_fun__LE_(f(suc(z)), s(|'0'|))) | tptp_fun__LE_(f(z), |'0'|))) <=> ((~![B_23: $i] : (tptp_fun__E_(|'0'|, f(suc(B_23))) | (~tptp_fun__LE_(f(suc(B_23)), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))) | (tptp_fun__LE_(f(z), |'0'|) | tptp_fun__E_(|'0'|, f(suc(z))) | (~tptp_fun__LE_(f(suc(z)), s(|'0'|)))))),
% 0.98/0.91 inference(monotonicity,[status(thm)],[27])).
% 0.98/0.91 tff(29,plain,
% 0.98/0.91 (((~![B_23: $i] : (tptp_fun__E_(|'0'|, f(suc(B_23))) | (~tptp_fun__LE_(f(suc(B_23)), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))) | (tptp_fun__E_(|'0'|, f(suc(z))) | (~tptp_fun__LE_(f(suc(z)), s(|'0'|))) | tptp_fun__LE_(f(z), |'0'|))) <=> ((~![B_23: $i] : (tptp_fun__E_(|'0'|, f(suc(B_23))) | (~tptp_fun__LE_(f(suc(B_23)), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))) | tptp_fun__LE_(f(z), |'0'|) | tptp_fun__E_(|'0'|, f(suc(z))) | (~tptp_fun__LE_(f(suc(z)), s(|'0'|))))),
% 0.98/0.91 inference(transitivity,[status(thm)],[28, 26])).
% 0.98/0.91 tff(30,plain,
% 0.98/0.91 ((~![B_23: $i] : (tptp_fun__E_(|'0'|, f(suc(B_23))) | (~tptp_fun__LE_(f(suc(B_23)), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))) | (tptp_fun__E_(|'0'|, f(suc(z))) | (~tptp_fun__LE_(f(suc(z)), s(|'0'|))) | tptp_fun__LE_(f(z), |'0'|))),
% 0.98/0.91 inference(quant_inst,[status(thm)],[])).
% 0.98/0.91 tff(31,plain,
% 0.98/0.91 ((~![B_23: $i] : (tptp_fun__E_(|'0'|, f(suc(B_23))) | (~tptp_fun__LE_(f(suc(B_23)), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))) | tptp_fun__LE_(f(z), |'0'|) | tptp_fun__E_(|'0'|, f(suc(z))) | (~tptp_fun__LE_(f(suc(z)), s(|'0'|)))),
% 0.98/0.91 inference(modus_ponens,[status(thm)],[30, 29])).
% 0.98/0.91 tff(32,plain,
% 0.98/0.91 (tptp_fun__E_(|'0'|, f(suc(z))) | (~tptp_fun__LE_(f(suc(z)), s(|'0'|)))),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[31, 25, 22])).
% 0.98/0.91 tff(33,plain,
% 0.98/0.91 (tptp_fun__E_(|'0'|, f(suc(z)))),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[32, 12])).
% 0.98/0.91 tff(34,plain,
% 0.98/0.91 ((~![A: $i] : tptp_fun__LE_(f(A), s(|'0'|))) | tptp_fun__LE_(f(z), s(|'0'|))),
% 0.98/0.91 inference(quant_inst,[status(thm)],[])).
% 0.98/0.91 tff(35,plain,
% 0.98/0.91 (tptp_fun__LE_(f(z), s(|'0'|))),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[34, 9])).
% 0.98/0.91 tff(36,plain,
% 0.98/0.91 (^[B_23: $i] : refl((tptp_fun__E_(|'0'|, f(B_23)) | (~tptp_fun__LE_(f(B_23), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|)) <=> (tptp_fun__E_(|'0'|, f(B_23)) | (~tptp_fun__LE_(f(B_23), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|)))),
% 0.98/0.91 inference(bind,[status(th)],[])).
% 0.98/0.91 tff(37,plain,
% 0.98/0.91 (![B_23: $i] : (tptp_fun__E_(|'0'|, f(B_23)) | (~tptp_fun__LE_(f(B_23), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|)) <=> ![B_23: $i] : (tptp_fun__E_(|'0'|, f(B_23)) | (~tptp_fun__LE_(f(B_23), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))),
% 0.98/0.91 inference(quant_intro,[status(thm)],[36])).
% 0.98/0.91 tff(38,plain,
% 0.98/0.91 (![B_23: $i] : (tptp_fun__E_(|'0'|, f(B_23)) | (~tptp_fun__LE_(f(B_23), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|)) <=> ![B_23: $i] : (tptp_fun__E_(|'0'|, f(B_23)) | (~tptp_fun__LE_(f(B_23), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))),
% 0.98/0.91 inference(rewrite,[status(thm)],[])).
% 0.98/0.91 tff(39,plain,
% 0.98/0.91 (^[B_23: $i] : rewrite((((~tptp_fun__LE_(f(B_23), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_23))) | tptp_fun__LE_(f(B_23), |'0'|)) <=> (tptp_fun__E_(|'0'|, f(B_23)) | (~tptp_fun__LE_(f(B_23), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|)))),
% 0.98/0.91 inference(bind,[status(th)],[])).
% 0.98/0.91 tff(40,plain,
% 0.98/0.91 (![B_23: $i] : (((~tptp_fun__LE_(f(B_23), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_23))) | tptp_fun__LE_(f(B_23), |'0'|)) <=> ![B_23: $i] : (tptp_fun__E_(|'0'|, f(B_23)) | (~tptp_fun__LE_(f(B_23), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))),
% 0.98/0.91 inference(quant_intro,[status(thm)],[39])).
% 0.98/0.91 tff(41,axiom,(![B_23: $i] : (((~tptp_fun__LE_(f(B_23), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_23))) | tptp_fun__LE_(f(B_23), |'0'|))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_1005')).
% 0.98/0.91 tff(42,plain,
% 0.98/0.91 (![B_23: $i] : (tptp_fun__E_(|'0'|, f(B_23)) | (~tptp_fun__LE_(f(B_23), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))),
% 0.98/0.91 inference(modus_ponens,[status(thm)],[41, 40])).
% 0.98/0.91 tff(43,plain,
% 0.98/0.91 (![B_23: $i] : (tptp_fun__E_(|'0'|, f(B_23)) | (~tptp_fun__LE_(f(B_23), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))),
% 0.98/0.91 inference(modus_ponens,[status(thm)],[42, 38])).
% 0.98/0.91 tff(44,plain,(
% 0.98/0.91 ![B_23: $i] : (tptp_fun__E_(|'0'|, f(B_23)) | (~tptp_fun__LE_(f(B_23), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))),
% 0.98/0.91 inference(skolemize,[status(sab)],[43])).
% 0.98/0.91 tff(45,plain,
% 0.98/0.91 (![B_23: $i] : (tptp_fun__E_(|'0'|, f(B_23)) | (~tptp_fun__LE_(f(B_23), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))),
% 0.98/0.91 inference(modus_ponens,[status(thm)],[44, 37])).
% 0.98/0.91 tff(46,plain,
% 0.98/0.91 (((~![B_23: $i] : (tptp_fun__E_(|'0'|, f(B_23)) | (~tptp_fun__LE_(f(B_23), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))) | (tptp_fun__LE_(f(z), |'0'|) | tptp_fun__E_(|'0'|, f(z)) | (~tptp_fun__LE_(f(z), s(|'0'|))))) <=> ((~![B_23: $i] : (tptp_fun__E_(|'0'|, f(B_23)) | (~tptp_fun__LE_(f(B_23), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))) | tptp_fun__LE_(f(z), |'0'|) | tptp_fun__E_(|'0'|, f(z)) | (~tptp_fun__LE_(f(z), s(|'0'|))))),
% 0.98/0.91 inference(rewrite,[status(thm)],[])).
% 0.98/0.91 tff(47,plain,
% 0.98/0.91 ((tptp_fun__E_(|'0'|, f(z)) | (~tptp_fun__LE_(f(z), s(|'0'|))) | tptp_fun__LE_(f(z), |'0'|)) <=> (tptp_fun__LE_(f(z), |'0'|) | tptp_fun__E_(|'0'|, f(z)) | (~tptp_fun__LE_(f(z), s(|'0'|))))),
% 0.98/0.91 inference(rewrite,[status(thm)],[])).
% 0.98/0.91 tff(48,plain,
% 0.98/0.91 (((~![B_23: $i] : (tptp_fun__E_(|'0'|, f(B_23)) | (~tptp_fun__LE_(f(B_23), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))) | (tptp_fun__E_(|'0'|, f(z)) | (~tptp_fun__LE_(f(z), s(|'0'|))) | tptp_fun__LE_(f(z), |'0'|))) <=> ((~![B_23: $i] : (tptp_fun__E_(|'0'|, f(B_23)) | (~tptp_fun__LE_(f(B_23), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))) | (tptp_fun__LE_(f(z), |'0'|) | tptp_fun__E_(|'0'|, f(z)) | (~tptp_fun__LE_(f(z), s(|'0'|)))))),
% 0.98/0.91 inference(monotonicity,[status(thm)],[47])).
% 0.98/0.91 tff(49,plain,
% 0.98/0.91 (((~![B_23: $i] : (tptp_fun__E_(|'0'|, f(B_23)) | (~tptp_fun__LE_(f(B_23), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))) | (tptp_fun__E_(|'0'|, f(z)) | (~tptp_fun__LE_(f(z), s(|'0'|))) | tptp_fun__LE_(f(z), |'0'|))) <=> ((~![B_23: $i] : (tptp_fun__E_(|'0'|, f(B_23)) | (~tptp_fun__LE_(f(B_23), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))) | tptp_fun__LE_(f(z), |'0'|) | tptp_fun__E_(|'0'|, f(z)) | (~tptp_fun__LE_(f(z), s(|'0'|))))),
% 0.98/0.91 inference(transitivity,[status(thm)],[48, 46])).
% 0.98/0.91 tff(50,plain,
% 0.98/0.91 ((~![B_23: $i] : (tptp_fun__E_(|'0'|, f(B_23)) | (~tptp_fun__LE_(f(B_23), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))) | (tptp_fun__E_(|'0'|, f(z)) | (~tptp_fun__LE_(f(z), s(|'0'|))) | tptp_fun__LE_(f(z), |'0'|))),
% 0.98/0.91 inference(quant_inst,[status(thm)],[])).
% 0.98/0.91 tff(51,plain,
% 0.98/0.91 ((~![B_23: $i] : (tptp_fun__E_(|'0'|, f(B_23)) | (~tptp_fun__LE_(f(B_23), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))) | tptp_fun__LE_(f(z), |'0'|) | tptp_fun__E_(|'0'|, f(z)) | (~tptp_fun__LE_(f(z), s(|'0'|)))),
% 0.98/0.91 inference(modus_ponens,[status(thm)],[50, 49])).
% 0.98/0.91 tff(52,plain,
% 0.98/0.91 (tptp_fun__E_(|'0'|, f(z)) | (~tptp_fun__LE_(f(z), s(|'0'|)))),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[51, 25, 45])).
% 0.98/0.91 tff(53,plain,
% 0.98/0.91 (tptp_fun__E_(|'0'|, f(z))),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[52, 35])).
% 0.98/0.91 tff(54,plain,
% 0.98/0.91 (^[A_1: $i] : refl((tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1))) <=> (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1))))),
% 0.98/0.91 inference(bind,[status(th)],[])).
% 0.98/0.91 tff(55,plain,
% 0.98/0.91 (![A_1: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1))) <=> ![A_1: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))),
% 0.98/0.91 inference(quant_intro,[status(thm)],[54])).
% 0.98/0.91 tff(56,plain,
% 0.98/0.91 (![A_1: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1))) <=> ![A_1: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))),
% 0.98/0.91 inference(rewrite,[status(thm)],[])).
% 0.98/0.91 tff(57,plain,
% 0.98/0.91 (^[A_1: $i] : trans(monotonicity(rewrite((((~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'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_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))))), (((((~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'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_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | iLEQ(suc(A_1), suc(A_1))))), rewrite(((tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | iLEQ(suc(A_1), suc(A_1))) <=> (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))), (((((~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'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_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))))),
% 0.98/0.91 inference(bind,[status(th)],[])).
% 0.98/0.91 tff(58,plain,
% 0.98/0.91 (![A_1: $i] : ((((~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'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] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))),
% 0.98/0.91 inference(quant_intro,[status(thm)],[57])).
% 0.98/0.91 tff(59,axiom,(![A_1: $i] : ((((~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'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/sandbox2/benchmark/theBenchmark.p','clause_181')).
% 0.98/0.91 tff(60,plain,
% 0.98/0.91 (![A_1: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))),
% 0.98/0.91 inference(modus_ponens,[status(thm)],[59, 58])).
% 0.98/0.91 tff(61,plain,
% 0.98/0.91 (![A_1: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))),
% 0.98/0.91 inference(modus_ponens,[status(thm)],[60, 56])).
% 0.98/0.91 tff(62,plain,(
% 0.98/0.91 ![A_1: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))),
% 0.98/0.91 inference(skolemize,[status(sab)],[61])).
% 0.98/0.91 tff(63,plain,
% 0.98/0.91 (![A_1: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))),
% 0.98/0.91 inference(modus_ponens,[status(thm)],[62, 55])).
% 0.98/0.91 tff(64,plain,
% 0.98/0.91 (((~![A_1: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))) | ((~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)))) <=> ((~![A_1: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))) | (~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)))),
% 0.98/0.91 inference(rewrite,[status(thm)],[])).
% 0.98/0.91 tff(65,plain,
% 0.98/0.91 ((tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | iLEQ(suc(z), 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)))),
% 0.98/0.91 inference(rewrite,[status(thm)],[])).
% 0.98/0.91 tff(66,plain,
% 0.98/0.91 (((~![A_1: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))) | (tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | iLEQ(suc(z), suc(z)))) <=> ((~![A_1: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))) | ((~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))))),
% 0.98/0.91 inference(monotonicity,[status(thm)],[65])).
% 0.98/0.91 tff(67,plain,
% 0.98/0.91 (((~![A_1: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))) | (tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | iLEQ(suc(z), suc(z)))) <=> ((~![A_1: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))) | (~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)))),
% 0.98/0.91 inference(transitivity,[status(thm)],[66, 64])).
% 0.98/0.91 tff(68,plain,
% 0.98/0.91 ((~![A_1: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))) | (tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | iLEQ(suc(z), suc(z)))),
% 0.98/0.91 inference(quant_inst,[status(thm)],[])).
% 0.98/0.91 tff(69,plain,
% 0.98/0.91 ((~![A_1: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))) | (~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))),
% 0.98/0.91 inference(modus_ponens,[status(thm)],[68, 67])).
% 0.98/0.91 tff(70,plain,
% 0.98/0.91 ((~tptp_fun__E_(|'0'|, f(suc(z)))) | tptp_fun__E_(f(z), f(suc(z))) | iLEQ(suc(z), suc(z))),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[69, 63, 53])).
% 0.98/0.91 tff(71,plain,
% 0.98/0.91 (tptp_fun__E_(f(z), f(suc(z))) | iLEQ(suc(z), suc(z))),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[70, 33])).
% 0.98/0.91 tff(72,plain,
% 0.98/0.91 (iLEQ(suc(z), suc(z))),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[71, 1])).
% 0.98/0.91 tff(73,plain,
% 0.98/0.91 (^[B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : refl((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_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | tptp_fun__E_(f(B_28), f(suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~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(B_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | tptp_fun__E_(f(B_28), f(suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))))),
% 0.98/0.91 inference(bind,[status(th)],[])).
% 0.98/0.91 tff(74,plain,
% 0.98/0.91 (![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : (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_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | tptp_fun__E_(f(B_28), f(suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) <=> ![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : (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_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | tptp_fun__E_(f(B_28), f(suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))),
% 0.98/0.91 inference(quant_intro,[status(thm)],[73])).
% 0.98/0.91 tff(75,plain,
% 0.98/0.91 (![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : (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_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | tptp_fun__E_(f(B_28), f(suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) <=> ![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : (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_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | tptp_fun__E_(f(B_28), f(suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))),
% 0.98/0.91 inference(rewrite,[status(thm)],[])).
% 0.98/0.91 tff(76,plain,
% 0.98/0.91 (^[B_28: $i, B_25: $i, B_27: $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(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) <=> (((~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25)))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25)))) <=> ((~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) <=> ((~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))))), ((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) <=> (((~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))))), rewrite((((~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))))), (((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) <=> (((~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1)))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) <=> ((~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) <=> ((~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))))), ((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) <=> (((~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))))), rewrite((((~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))))), (((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) <=> (((~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(B_28)))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(B_28)))) <=> ((~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) <=> ((~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))))), ((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) <=> (((~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~iLEQ(suc(A_1), suc(B_24)))))), rewrite((((~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~iLEQ(suc(A_1), suc(B_24)))) <=> ((~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) <=> ((~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))))), (((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) <=> (((~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~iLEQ(suc(B_26), suc(B_27)))))), rewrite((((~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~iLEQ(suc(B_26), suc(B_27)))) <=> ((~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) <=> ((~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))))), ((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) <=> (((~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(B_26)))))), rewrite((((~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) <=> ((~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) <=> ((~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))))), (((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) <=> (((~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))))), rewrite((((~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))))), ((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) <=> (((~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(B_24)))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(B_24)))) <=> ((~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) <=> ((~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))))), (((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) <=> (((~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))))), rewrite((((~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))))), ((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) <=> (((~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(B_27)))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(B_27)))) <=> ((~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) <=> ((~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))))), (((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_25)))) <=> (((~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(B_25)))))), rewrite((((~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(B_25)))) <=> ((~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_25)))) <=> ((~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))))), ((((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_25)))) | (~iLEQ(suc(B_27), suc(B_28)))) <=> (((~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~iLEQ(suc(B_27), suc(B_28)))))), rewrite((((~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~iLEQ(suc(B_27), suc(B_28)))) <=> ((~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_25)))) | (~iLEQ(suc(B_27), suc(B_28)))) <=> ((~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))))), (((((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_25)))) | (~iLEQ(suc(B_27), suc(B_28)))) | tptp_fun__E_(f(B_24), f(suc(B_24)))) <=> (((~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | tptp_fun__E_(f(B_24), f(suc(B_24)))))), rewrite((((~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~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_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_25)))) | (~iLEQ(suc(B_27), suc(B_28)))) | tptp_fun__E_(f(B_24), f(suc(B_24)))) <=> (tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))))), ((((((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_25)))) | (~iLEQ(suc(B_27), suc(B_28)))) | 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_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~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_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | tptp_fun__E_(f(B_26), f(suc(B_26)))) <=> (tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_25)))) | (~iLEQ(suc(B_27), suc(B_28)))) | 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_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))))), (((((((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_25)))) | (~iLEQ(suc(B_27), suc(B_28)))) | 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_27), f(suc(B_27)))) <=> ((tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | tptp_fun__E_(f(B_27), f(suc(B_27)))))), rewrite(((tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | tptp_fun__E_(f(B_27), f(suc(B_27)))) <=> (tptp_fun__E_(f(B_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_25)))) | (~iLEQ(suc(B_27), suc(B_28)))) | 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_27), f(suc(B_27)))) <=> (tptp_fun__E_(f(B_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))))), ((((((((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_25)))) | (~iLEQ(suc(B_27), suc(B_28)))) | 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_27), f(suc(B_27)))) | tptp_fun__E_(f(B_25), f(suc(B_25)))) <=> ((tptp_fun__E_(f(B_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | tptp_fun__E_(f(B_25), f(suc(B_25)))))), rewrite(((tptp_fun__E_(f(B_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~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_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((((((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_25)))) | (~iLEQ(suc(B_27), suc(B_28)))) | 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_27), f(suc(B_27)))) | 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_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))))), (((((((((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_25)))) | (~iLEQ(suc(B_27), suc(B_28)))) | 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_27), f(suc(B_27)))) | 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_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~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_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~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_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((((((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_25)))) | (~iLEQ(suc(B_27), suc(B_28)))) | 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_27), f(suc(B_27)))) | tptp_fun__E_(f(B_25), f(suc(B_25)))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) <=> (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_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))))), ((((((((((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_25)))) | (~iLEQ(suc(B_27), suc(B_28)))) | 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_27), f(suc(B_27)))) | 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_28), f(suc(B_28)))) <=> ((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_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | tptp_fun__E_(f(B_28), f(suc(B_28)))))), rewrite(((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_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | tptp_fun__E_(f(B_28), f(suc(B_28)))) <=> (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_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | tptp_fun__E_(f(B_28), f(suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((((((((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_25)))) | (~iLEQ(suc(B_27), suc(B_28)))) | 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_27), f(suc(B_27)))) | 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_28), f(suc(B_28)))) <=> (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_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | tptp_fun__E_(f(B_28), f(suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))))),
% 1.03/0.93 inference(bind,[status(th)],[])).
% 1.03/0.93 tff(77,plain,
% 1.03/0.93 (![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : (((((((((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_25)))) | (~iLEQ(suc(B_27), suc(B_28)))) | 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_27), f(suc(B_27)))) | 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_28), f(suc(B_28)))) <=> ![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : (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_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | tptp_fun__E_(f(B_28), f(suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))),
% 1.03/0.93 inference(quant_intro,[status(thm)],[76])).
% 1.03/0.93 tff(78,axiom,(![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : (((((((((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_25)))) | (~iLEQ(suc(B_27), suc(B_28)))) | 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_27), f(suc(B_27)))) | 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_28), f(suc(B_28))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_1185')).
% 1.03/0.93 tff(79,plain,
% 1.03/0.93 (![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : (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_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | tptp_fun__E_(f(B_28), f(suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))),
% 1.03/0.93 inference(modus_ponens,[status(thm)],[78, 77])).
% 1.03/0.93 tff(80,plain,
% 1.03/0.93 (![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : (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_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | tptp_fun__E_(f(B_28), f(suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))),
% 1.03/0.93 inference(modus_ponens,[status(thm)],[79, 75])).
% 1.03/0.93 tff(81,plain,(
% 1.03/0.93 ![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : (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_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | tptp_fun__E_(f(B_28), f(suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))),
% 1.03/0.93 inference(skolemize,[status(sab)],[80])).
% 1.03/0.93 tff(82,plain,
% 1.03/0.93 (![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : (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_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | tptp_fun__E_(f(B_28), f(suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))),
% 1.03/0.93 inference(modus_ponens,[status(thm)],[81, 74])).
% 1.03/0.93 tff(83,plain,
% 1.03/0.93 (((~![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : (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_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | tptp_fun__E_(f(B_28), f(suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))) | ((~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_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : (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_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | tptp_fun__E_(f(B_28), f(suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))) | (~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))))),
% 1.03/0.93 inference(rewrite,[status(thm)],[])).
% 1.03/0.93 tff(84,plain,
% 1.03/0.93 ((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_(f(z), 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(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))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(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_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), 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))))),
% 1.03/0.93 inference(rewrite,[status(thm)],[])).
% 1.03/0.93 tff(85,plain,
% 1.03/0.93 (((~![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : (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_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | tptp_fun__E_(f(B_28), f(suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~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_(f(z), 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(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))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(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_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))))) <=> ((~![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : (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_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | tptp_fun__E_(f(B_28), f(suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))) | ((~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)))))),
% 1.03/0.93 inference(monotonicity,[status(thm)],[84])).
% 1.03/0.93 tff(86,plain,
% 1.03/0.93 (((~![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : (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_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | tptp_fun__E_(f(B_28), f(suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~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_(f(z), 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(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))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(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_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))))) <=> ((~![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : (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_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | tptp_fun__E_(f(B_28), f(suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))) | (~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))))),
% 1.03/0.93 inference(transitivity,[status(thm)],[85, 83])).
% 1.03/0.93 tff(87,plain,
% 1.03/0.93 ((~![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : (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_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | tptp_fun__E_(f(B_28), f(suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~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_(f(z), 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(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))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(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_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))))),
% 1.03/0.93 inference(quant_inst,[status(thm)],[])).
% 1.03/0.93 tff(88,plain,
% 1.03/0.93 ((~![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | tptp_fun__E_(f(B_28), f(suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z)))),
% 1.03/0.93 inference(modus_ponens,[status(thm)],[87, 86])).
% 1.03/0.93 tff(89,plain,
% 1.03/0.93 (tptp_fun__E_(f(z), f(suc(z))) | (~iLEQ(suc(z), suc(z)))),
% 1.03/0.93 inference(unit_resolution,[status(thm)],[88, 82, 33, 53])).
% 1.03/0.93 tff(90,plain,
% 1.03/0.93 ($false),
% 1.03/0.93 inference(unit_resolution,[status(thm)],[89, 72, 1])).
% 1.03/0.93 tff(91,plain,(tptp_fun__E_(f(z), f(suc(z)))), inference(lemma,lemma(discharge,[]))).
% 1.03/0.93 tff(92,assumption,(~tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))), introduced(assumption)).
% 1.03/0.93 tff(93,plain,
% 1.03/0.93 ((~![A: $i] : tptp_fun__LE_(f(A), s(|'0'|))) | tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))),
% 1.03/0.93 inference(quant_inst,[status(thm)],[])).
% 1.03/0.93 tff(94,plain,
% 1.03/0.93 ($false),
% 1.03/0.93 inference(unit_resolution,[status(thm)],[93, 9, 92])).
% 1.03/0.93 tff(95,plain,(tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))), inference(lemma,lemma(discharge,[]))).
% 1.03/0.93 tff(96,plain,
% 1.03/0.93 (^[B_23: $i] : refl(((~tptp_fun__LE_(f(suc(suc(B_23))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_23)))) | tptp_fun__LE_(f(B_23), |'0'|)) <=> ((~tptp_fun__LE_(f(suc(suc(B_23))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_23)))) | tptp_fun__LE_(f(B_23), |'0'|)))),
% 1.03/0.93 inference(bind,[status(th)],[])).
% 1.03/0.93 tff(97,plain,
% 1.03/0.93 (![B_23: $i] : ((~tptp_fun__LE_(f(suc(suc(B_23))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_23)))) | tptp_fun__LE_(f(B_23), |'0'|)) <=> ![B_23: $i] : ((~tptp_fun__LE_(f(suc(suc(B_23))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_23)))) | tptp_fun__LE_(f(B_23), |'0'|))),
% 1.03/0.93 inference(quant_intro,[status(thm)],[96])).
% 1.03/0.93 tff(98,plain,
% 1.03/0.93 (![B_23: $i] : ((~tptp_fun__LE_(f(suc(suc(B_23))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_23)))) | tptp_fun__LE_(f(B_23), |'0'|)) <=> ![B_23: $i] : ((~tptp_fun__LE_(f(suc(suc(B_23))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_23)))) | tptp_fun__LE_(f(B_23), |'0'|))),
% 1.03/0.93 inference(rewrite,[status(thm)],[])).
% 1.03/0.93 tff(99,plain,
% 1.03/0.93 (^[B_23: $i] : rewrite((((~tptp_fun__LE_(f(suc(suc(B_23))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_23))))) | tptp_fun__LE_(f(B_23), |'0'|)) <=> ((~tptp_fun__LE_(f(suc(suc(B_23))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_23)))) | tptp_fun__LE_(f(B_23), |'0'|)))),
% 1.03/0.93 inference(bind,[status(th)],[])).
% 1.03/0.93 tff(100,plain,
% 1.03/0.93 (![B_23: $i] : (((~tptp_fun__LE_(f(suc(suc(B_23))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_23))))) | tptp_fun__LE_(f(B_23), |'0'|)) <=> ![B_23: $i] : ((~tptp_fun__LE_(f(suc(suc(B_23))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_23)))) | tptp_fun__LE_(f(B_23), |'0'|))),
% 1.03/0.93 inference(quant_intro,[status(thm)],[99])).
% 1.03/0.93 tff(101,axiom,(![B_23: $i] : (((~tptp_fun__LE_(f(suc(suc(B_23))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_23))))) | tptp_fun__LE_(f(B_23), |'0'|))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_73')).
% 1.03/0.93 tff(102,plain,
% 1.03/0.93 (![B_23: $i] : ((~tptp_fun__LE_(f(suc(suc(B_23))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_23)))) | tptp_fun__LE_(f(B_23), |'0'|))),
% 1.03/0.93 inference(modus_ponens,[status(thm)],[101, 100])).
% 1.03/0.93 tff(103,plain,
% 1.03/0.93 (![B_23: $i] : ((~tptp_fun__LE_(f(suc(suc(B_23))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_23)))) | tptp_fun__LE_(f(B_23), |'0'|))),
% 1.03/0.93 inference(modus_ponens,[status(thm)],[102, 98])).
% 1.03/0.93 tff(104,plain,(
% 1.03/0.93 ![B_23: $i] : ((~tptp_fun__LE_(f(suc(suc(B_23))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_23)))) | tptp_fun__LE_(f(B_23), |'0'|))),
% 1.03/0.93 inference(skolemize,[status(sab)],[103])).
% 1.03/0.93 tff(105,plain,
% 1.03/0.93 (![B_23: $i] : ((~tptp_fun__LE_(f(suc(suc(B_23))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_23)))) | tptp_fun__LE_(f(B_23), |'0'|))),
% 1.03/0.93 inference(modus_ponens,[status(thm)],[104, 97])).
% 1.03/0.93 tff(106,plain,
% 1.03/0.93 (((~![B_23: $i] : ((~tptp_fun__LE_(f(suc(suc(B_23))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_23)))) | tptp_fun__LE_(f(B_23), |'0'|))) | (tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(z)))))) <=> ((~![B_23: $i] : ((~tptp_fun__LE_(f(suc(suc(B_23))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_23)))) | tptp_fun__LE_(f(B_23), |'0'|))) | tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(z)))))),
% 1.03/0.94 inference(rewrite,[status(thm)],[])).
% 1.03/0.94 tff(107,plain,
% 1.03/0.94 (((~tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(z)))) | tptp_fun__LE_(f(z), |'0'|)) <=> (tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(z)))))),
% 1.03/0.94 inference(rewrite,[status(thm)],[])).
% 1.03/0.94 tff(108,plain,
% 1.03/0.94 (((~![B_23: $i] : ((~tptp_fun__LE_(f(suc(suc(B_23))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_23)))) | tptp_fun__LE_(f(B_23), |'0'|))) | ((~tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(z)))) | tptp_fun__LE_(f(z), |'0'|))) <=> ((~![B_23: $i] : ((~tptp_fun__LE_(f(suc(suc(B_23))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_23)))) | tptp_fun__LE_(f(B_23), |'0'|))) | (tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(z))))))),
% 1.03/0.94 inference(monotonicity,[status(thm)],[107])).
% 1.03/0.94 tff(109,plain,
% 1.03/0.94 (((~![B_23: $i] : ((~tptp_fun__LE_(f(suc(suc(B_23))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_23)))) | tptp_fun__LE_(f(B_23), |'0'|))) | ((~tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(z)))) | tptp_fun__LE_(f(z), |'0'|))) <=> ((~![B_23: $i] : ((~tptp_fun__LE_(f(suc(suc(B_23))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_23)))) | tptp_fun__LE_(f(B_23), |'0'|))) | tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(z)))))),
% 1.03/0.94 inference(transitivity,[status(thm)],[108, 106])).
% 1.03/0.94 tff(110,plain,
% 1.03/0.94 ((~![B_23: $i] : ((~tptp_fun__LE_(f(suc(suc(B_23))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_23)))) | tptp_fun__LE_(f(B_23), |'0'|))) | ((~tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(z)))) | tptp_fun__LE_(f(z), |'0'|))),
% 1.03/0.94 inference(quant_inst,[status(thm)],[])).
% 1.03/0.94 tff(111,plain,
% 1.03/0.94 ((~![B_23: $i] : ((~tptp_fun__LE_(f(suc(suc(B_23))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_23)))) | tptp_fun__LE_(f(B_23), |'0'|))) | tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(z))))),
% 1.03/0.94 inference(modus_ponens,[status(thm)],[110, 109])).
% 1.03/0.94 tff(112,plain,
% 1.03/0.94 ((~tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(z))))),
% 1.03/0.94 inference(unit_resolution,[status(thm)],[111, 25, 105])).
% 1.03/0.94 tff(113,plain,
% 1.03/0.94 (tptp_fun__E_(|'0'|, f(suc(suc(z))))),
% 1.03/0.94 inference(unit_resolution,[status(thm)],[112, 95])).
% 1.03/0.94 tff(114,plain,
% 1.03/0.94 (^[A_1: $i] : refl(((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1))) <=> ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1))))),
% 1.03/0.94 inference(bind,[status(th)],[])).
% 1.03/0.94 tff(115,plain,
% 1.03/0.94 (![A_1: $i] : ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1))) <=> ![A_1: $i] : ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))),
% 1.03/0.94 inference(quant_intro,[status(thm)],[114])).
% 1.03/0.94 tff(116,plain,
% 1.03/0.94 (![A_1: $i] : ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1))) <=> ![A_1: $i] : ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))),
% 1.03/0.94 inference(rewrite,[status(thm)],[])).
% 1.03/0.94 tff(117,plain,
% 1.03/0.94 (^[A_1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))))), ((((~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) <=> (((~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'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_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))))), ((((~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'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_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))))), (((((~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) <=> (((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))))), rewrite((((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) <=> ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))))), (((((~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) <=> ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))))), ((((((~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | iLEQ(suc(A_1), suc(A_1))) <=> (((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | iLEQ(suc(A_1), suc(A_1))))), rewrite((((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | iLEQ(suc(A_1), suc(A_1))) <=> ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))), ((((((~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | iLEQ(suc(A_1), suc(A_1))) <=> ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))))),
% 1.03/0.94 inference(bind,[status(th)],[])).
% 1.03/0.94 tff(118,plain,
% 1.03/0.94 (![A_1: $i] : (((((~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | iLEQ(suc(A_1), suc(A_1))) <=> ![A_1: $i] : ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))),
% 1.03/0.94 inference(quant_intro,[status(thm)],[117])).
% 1.03/0.94 tff(119,axiom,(![A_1: $i] : (((((~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | iLEQ(suc(A_1), suc(A_1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_854')).
% 1.03/0.94 tff(120,plain,
% 1.03/0.94 (![A_1: $i] : ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))),
% 1.03/0.94 inference(modus_ponens,[status(thm)],[119, 118])).
% 1.03/0.94 tff(121,plain,
% 1.03/0.94 (![A_1: $i] : ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))),
% 1.03/0.94 inference(modus_ponens,[status(thm)],[120, 116])).
% 1.03/0.94 tff(122,plain,(
% 1.03/0.94 ![A_1: $i] : ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))),
% 1.03/0.94 inference(skolemize,[status(sab)],[121])).
% 1.03/0.94 tff(123,plain,
% 1.03/0.94 (![A_1: $i] : ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))),
% 1.03/0.94 inference(modus_ponens,[status(thm)],[122, 115])).
% 1.03/0.94 tff(124,plain,
% 1.03/0.94 (((~![A_1: $i] : ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))) | ((~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | iLEQ(suc(z), suc(z)))) <=> ((~![A_1: $i] : ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | iLEQ(suc(z), suc(z)))),
% 1.03/0.94 inference(rewrite,[status(thm)],[])).
% 1.03/0.94 tff(125,plain,
% 1.03/0.94 (((~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | iLEQ(suc(z), suc(z))) <=> ((~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | iLEQ(suc(z), suc(z)))),
% 1.03/0.94 inference(rewrite,[status(thm)],[])).
% 1.03/0.94 tff(126,plain,
% 1.03/0.94 (((~![A_1: $i] : ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))) | ((~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | iLEQ(suc(z), suc(z)))) <=> ((~![A_1: $i] : ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))) | ((~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | iLEQ(suc(z), suc(z))))),
% 1.03/0.94 inference(monotonicity,[status(thm)],[125])).
% 1.03/0.94 tff(127,plain,
% 1.03/0.94 (((~![A_1: $i] : ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))) | ((~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | iLEQ(suc(z), suc(z)))) <=> ((~![A_1: $i] : ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | iLEQ(suc(z), suc(z)))),
% 1.03/0.94 inference(transitivity,[status(thm)],[126, 124])).
% 1.03/0.94 tff(128,plain,
% 1.03/0.94 ((~![A_1: $i] : ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))) | ((~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | iLEQ(suc(z), suc(z)))),
% 1.03/0.94 inference(quant_inst,[status(thm)],[])).
% 1.03/0.94 tff(129,plain,
% 1.03/0.94 ((~![A_1: $i] : ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | iLEQ(suc(z), suc(z))),
% 1.03/0.94 inference(modus_ponens,[status(thm)],[128, 127])).
% 1.03/0.94 tff(130,plain,
% 1.03/0.94 ((~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | iLEQ(suc(z), suc(z))),
% 1.03/0.94 inference(unit_resolution,[status(thm)],[129, 123, 113, 53])).
% 1.03/0.94 tff(131,plain,
% 1.03/0.94 ((~tptp_fun__E_(f(z), f(suc(z)))) | iLEQ(suc(z), suc(z))),
% 1.03/0.94 inference(unit_resolution,[status(thm)],[130, 33])).
% 1.03/0.94 tff(132,plain,
% 1.03/0.94 (iLEQ(suc(z), suc(z))),
% 1.03/0.94 inference(unit_resolution,[status(thm)],[131, 91])).
% 1.03/0.94 tff(133,plain,
% 1.03/0.94 (^[B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : refl(((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(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_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(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_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))))),
% 1.03/0.94 inference(bind,[status(th)],[])).
% 1.03/0.94 tff(134,plain,
% 1.03/0.94 (![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(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_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) <=> ![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(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_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))),
% 1.03/0.94 inference(quant_intro,[status(thm)],[133])).
% 1.03/0.94 tff(135,plain,
% 1.03/0.94 (![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(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_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) <=> ![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(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_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))),
% 1.03/0.94 inference(rewrite,[status(thm)],[])).
% 1.03/0.94 tff(136,plain,
% 1.03/0.94 (^[B_28: $i, B_25: $i, B_27: $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(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(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) <=> ((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))))), ((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) <=> (((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))))), rewrite((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))))), ((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28)))))))), (((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) <=> (((~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))))), (((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28)))))))), ((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) <=> (((~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28)))))) | (~iLEQ(suc(B_24), suc(B_25)))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28)))))) | (~iLEQ(suc(B_24), suc(B_25)))) <=> ((~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))))), ((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) <=> ((~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28)))))))), (((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~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_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28)))))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))))), rewrite((((~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28)))))) | (~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_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))))), (((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~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_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28)))))))), ((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))))), ((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28)))))))), (((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))))), (((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28)))))))), ((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28)))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28)))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))))), ((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))))), (((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))))), (((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))))), ((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))))), ((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))))), (((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(A_1)))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))))), (((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))))), ((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))))), ((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))))), (((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))))), (((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))))), ((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~iLEQ(suc(A_1), suc(B_24)))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~iLEQ(suc(A_1), suc(B_24)))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))))), ((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))))), (((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))), (((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))))), ((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))), ((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))))), (((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))), (((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))))), ((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))), ((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))))), (((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))), (((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))))), ((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(B_26)))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~tptp_fun__E_(|'0'|, f(B_26)))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~tptp_fun__E_(|'0'|, f(B_26)))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))), ((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(B_26)))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))))), (((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28))))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~tptp_fun__E_(f(B_28), f(suc(B_28))))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~tptp_fun__E_(f(B_28), f(suc(B_28))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))), (((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))))), ((((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))), ((((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))))), (((((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~tptp_fun__E_(|'0'|, f(B_24)))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))), (((((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))))), ((((((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))), ((((((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))))), (((((((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~tptp_fun__E_(|'0'|, f(B_27)))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))), (((((((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))))), ((((((((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26)))))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26)))))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26)))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(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_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))), ((((((((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26)))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(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_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))))), (((((((((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26)))))) | (~tptp_fun__E_(|'0'|, f(B_25)))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(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_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~tptp_fun__E_(|'0'|, f(B_25)))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(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_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~tptp_fun__E_(|'0'|, f(B_25)))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(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_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))), (((((((((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26)))))) | (~tptp_fun__E_(|'0'|, f(B_25)))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(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_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))))), ((((((((((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26)))))) | (~tptp_fun__E_(|'0'|, f(B_25)))) | (~iLEQ(suc(B_27), suc(B_28)))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(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_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_27), suc(B_28)))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(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_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_27), suc(B_28)))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(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_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))), ((((((((((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26)))))) | (~tptp_fun__E_(|'0'|, f(B_25)))) | (~iLEQ(suc(B_27), suc(B_28)))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(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_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))))),
% 1.03/0.96 inference(bind,[status(th)],[])).
% 1.03/0.96 tff(137,plain,
% 1.03/0.96 (![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : (((((((((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26)))))) | (~tptp_fun__E_(|'0'|, f(B_25)))) | (~iLEQ(suc(B_27), suc(B_28)))) <=> ![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(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_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))),
% 1.03/0.96 inference(quant_intro,[status(thm)],[136])).
% 1.03/0.96 tff(138,axiom,(![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : (((((((((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26)))))) | (~tptp_fun__E_(|'0'|, f(B_25)))) | (~iLEQ(suc(B_27), suc(B_28))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_1201')).
% 1.03/0.96 tff(139,plain,
% 1.03/0.96 (![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(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_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))),
% 1.03/0.96 inference(modus_ponens,[status(thm)],[138, 137])).
% 1.03/0.96 tff(140,plain,
% 1.03/0.96 (![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(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_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))),
% 1.03/0.96 inference(modus_ponens,[status(thm)],[139, 135])).
% 1.03/0.96 tff(141,plain,(
% 1.03/0.96 ![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(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_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))),
% 1.03/0.96 inference(skolemize,[status(sab)],[140])).
% 1.03/0.96 tff(142,plain,
% 1.03/0.96 (![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(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_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))),
% 1.03/0.97 inference(modus_ponens,[status(thm)],[141, 134])).
% 1.03/0.97 tff(143,plain,
% 1.03/0.97 (((~![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(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_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))) | ((~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))))) <=> ((~![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(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_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))))),
% 1.03/0.97 inference(rewrite,[status(thm)],[])).
% 1.03/0.97 tff(144,plain,
% 1.03/0.97 (((~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_(|'0'|, f(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)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(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_(|'0'|, f(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(suc(suc(z))))) | (~tptp_fun__E_(f(z), 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_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(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_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))))),
% 1.03/0.97 inference(rewrite,[status(thm)],[])).
% 1.03/0.97 tff(145,plain,
% 1.03/0.97 (((~![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(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_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))) | ((~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_(|'0'|, f(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)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(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_(|'0'|, f(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(suc(suc(z))))) | (~tptp_fun__E_(f(z), 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_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))))) <=> ((~![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(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_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))) | ((~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z)))))),
% 1.03/0.97 inference(monotonicity,[status(thm)],[144])).
% 1.03/0.97 tff(146,plain,
% 1.03/0.97 (((~![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(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_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))) | ((~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_(|'0'|, f(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)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(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_(|'0'|, f(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(suc(suc(z))))) | (~tptp_fun__E_(f(z), 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_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))))) <=> ((~![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(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_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))))),
% 1.03/0.97 inference(transitivity,[status(thm)],[145, 143])).
% 1.03/0.97 tff(147,plain,
% 1.03/0.97 ((~![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(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_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))) | ((~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_(|'0'|, f(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)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(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_(|'0'|, f(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(suc(suc(z))))) | (~tptp_fun__E_(f(z), 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_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))))),
% 1.03/0.99 inference(quant_inst,[status(thm)],[])).
% 1.03/0.99 tff(148,plain,
% 1.03/0.99 ((~![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z)))),
% 1.03/0.99 inference(modus_ponens,[status(thm)],[147, 146])).
% 1.03/0.99 tff(149,plain,
% 1.03/0.99 ($false),
% 1.03/0.99 inference(unit_resolution,[status(thm)],[148, 142, 113, 33, 53, 91, 132])).
% 1.03/0.99 % SZS output end Proof
%------------------------------------------------------------------------------