TSTP Solution File: SYO655-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYO655-1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n012.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 01:41:11 EDT 2022
% Result : Unsatisfiable 0.71s 0.70s
% Output : Proof 0.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO655-1 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n012.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 15:43:47 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34 Usage: tptp [options] [-file:]file
% 0.13/0.34 -h, -? prints this message.
% 0.13/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.34 -m, -model generate model.
% 0.13/0.34 -p, -proof generate proof.
% 0.13/0.34 -c, -core generate unsat core of named formulas.
% 0.13/0.34 -st, -statistics display statistics.
% 0.13/0.34 -t:timeout set timeout (in second).
% 0.13/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34 -<param>:<value> configuration parameter and value.
% 0.13/0.34 -o:<output-file> file to place output in.
% 0.71/0.70 % SZS status Unsatisfiable
% 0.71/0.70 % SZS output start Proof
% 0.71/0.70 tff(tptp_fun__E__type, type, (
% 0.71/0.70 tptp_fun__E_: ( $i * $i ) > $o)).
% 0.71/0.70 tff(f_type, type, (
% 0.71/0.70 f: $i > $i)).
% 0.71/0.70 tff(suc_type, type, (
% 0.71/0.70 suc: $i > $i)).
% 0.71/0.70 tff(z_type, type, (
% 0.71/0.70 z: $i)).
% 0.71/0.70 tff(iLEQ_type, type, (
% 0.71/0.70 iLEQ: ( $i * $i ) > $o)).
% 0.71/0.70 tff(tptp_fun__0__type, type, (
% 0.71/0.70 tptp_fun__0_: $i)).
% 0.71/0.70 tff(tptp_fun__LE__type, type, (
% 0.71/0.70 tptp_fun__LE_: ( $i * $i ) > $o)).
% 0.71/0.70 tff(s_type, type, (
% 0.71/0.70 s: $i > $i)).
% 0.71/0.70 tff(1,assumption,(~iLEQ(suc(z), suc(z))), introduced(assumption)).
% 0.71/0.70 tff(2,plain,
% 0.71/0.70 (^[A: $i] : refl(tptp_fun__LE_(f(A), s(|'0'|)) <=> tptp_fun__LE_(f(A), s(|'0'|)))),
% 0.71/0.70 inference(bind,[status(th)],[])).
% 0.71/0.70 tff(3,plain,
% 0.71/0.70 (![A: $i] : tptp_fun__LE_(f(A), s(|'0'|)) <=> ![A: $i] : tptp_fun__LE_(f(A), s(|'0'|))),
% 0.71/0.70 inference(quant_intro,[status(thm)],[2])).
% 0.71/0.70 tff(4,plain,
% 0.71/0.70 (![A: $i] : tptp_fun__LE_(f(A), s(|'0'|)) <=> ![A: $i] : tptp_fun__LE_(f(A), s(|'0'|))),
% 0.71/0.70 inference(rewrite,[status(thm)],[])).
% 0.71/0.70 tff(5,axiom,(![A: $i] : tptp_fun__LE_(f(A), s(|'0'|))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_497')).
% 0.71/0.70 tff(6,plain,
% 0.71/0.70 (![A: $i] : tptp_fun__LE_(f(A), s(|'0'|))),
% 0.71/0.70 inference(modus_ponens,[status(thm)],[5, 4])).
% 0.71/0.70 tff(7,plain,(
% 0.71/0.70 ![A: $i] : tptp_fun__LE_(f(A), s(|'0'|))),
% 0.71/0.70 inference(skolemize,[status(sab)],[6])).
% 0.71/0.70 tff(8,plain,
% 0.71/0.70 (![A: $i] : tptp_fun__LE_(f(A), s(|'0'|))),
% 0.71/0.70 inference(modus_ponens,[status(thm)],[7, 3])).
% 0.71/0.70 tff(9,plain,
% 0.71/0.70 ((~![A: $i] : tptp_fun__LE_(f(A), s(|'0'|))) | tptp_fun__LE_(f(z), s(|'0'|))),
% 0.71/0.70 inference(quant_inst,[status(thm)],[])).
% 0.71/0.70 tff(10,plain,
% 0.71/0.70 (tptp_fun__LE_(f(z), s(|'0'|))),
% 0.71/0.70 inference(unit_resolution,[status(thm)],[9, 8])).
% 0.71/0.70 tff(11,plain,
% 0.71/0.70 (^[B_16: $i] : refl((tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(B_16), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_16))) <=> (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(B_16), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_16))))),
% 0.71/0.70 inference(bind,[status(th)],[])).
% 0.71/0.70 tff(12,plain,
% 0.71/0.70 (![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(B_16), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_16))) <=> ![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(B_16), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_16)))),
% 0.71/0.70 inference(quant_intro,[status(thm)],[11])).
% 0.71/0.70 tff(13,plain,
% 0.71/0.70 (![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(B_16), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_16))) <=> ![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(B_16), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_16)))),
% 0.71/0.70 inference(rewrite,[status(thm)],[])).
% 0.71/0.70 tff(14,plain,
% 0.71/0.70 (^[B_16: $i] : rewrite((((~tptp_fun__LE_(f(B_16), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_16))) | tptp_fun__LE_(f(B_16), |'0'|)) <=> (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(B_16), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_16))))),
% 0.71/0.70 inference(bind,[status(th)],[])).
% 0.71/0.70 tff(15,plain,
% 0.71/0.70 (![B_16: $i] : (((~tptp_fun__LE_(f(B_16), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_16))) | tptp_fun__LE_(f(B_16), |'0'|)) <=> ![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(B_16), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_16)))),
% 0.71/0.70 inference(quant_intro,[status(thm)],[14])).
% 0.71/0.70 tff(16,axiom,(![B_16: $i] : (((~tptp_fun__LE_(f(B_16), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_16))) | tptp_fun__LE_(f(B_16), |'0'|))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_513')).
% 0.71/0.70 tff(17,plain,
% 0.71/0.70 (![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(B_16), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_16)))),
% 0.71/0.70 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.71/0.70 tff(18,plain,
% 0.71/0.70 (![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(B_16), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_16)))),
% 0.71/0.70 inference(modus_ponens,[status(thm)],[17, 13])).
% 0.71/0.70 tff(19,plain,(
% 0.71/0.70 ![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(B_16), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_16)))),
% 0.71/0.70 inference(skolemize,[status(sab)],[18])).
% 0.71/0.70 tff(20,plain,
% 0.71/0.70 (![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(B_16), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_16)))),
% 0.71/0.70 inference(modus_ponens,[status(thm)],[19, 12])).
% 0.71/0.70 tff(21,plain,
% 0.71/0.70 ((~tptp_fun__LE_(f(z), |'0'|)) <=> (~tptp_fun__LE_(f(z), |'0'|))),
% 0.71/0.70 inference(rewrite,[status(thm)],[])).
% 0.71/0.70 tff(22,axiom,(~tptp_fun__LE_(f(z), |'0'|)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_269')).
% 0.71/0.70 tff(23,plain,
% 0.71/0.70 (~tptp_fun__LE_(f(z), |'0'|)),
% 0.71/0.70 inference(modus_ponens,[status(thm)],[22, 21])).
% 0.71/0.70 tff(24,plain,
% 0.71/0.70 (((~![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(B_16), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_16)))) | (tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(z), s(|'0'|))) | tptp_fun__E_(|'0'|, f(z)))) <=> ((~![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(B_16), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_16)))) | tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(z), s(|'0'|))) | tptp_fun__E_(|'0'|, f(z)))),
% 0.71/0.70 inference(rewrite,[status(thm)],[])).
% 0.71/0.70 tff(25,plain,
% 0.71/0.70 ((~![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(B_16), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_16)))) | (tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(z), s(|'0'|))) | tptp_fun__E_(|'0'|, f(z)))),
% 0.71/0.70 inference(quant_inst,[status(thm)],[])).
% 0.71/0.70 tff(26,plain,
% 0.71/0.70 ((~![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(B_16), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_16)))) | tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(z), s(|'0'|))) | tptp_fun__E_(|'0'|, f(z))),
% 0.71/0.70 inference(modus_ponens,[status(thm)],[25, 24])).
% 0.71/0.70 tff(27,plain,
% 0.71/0.70 (tptp_fun__E_(|'0'|, f(z))),
% 0.71/0.70 inference(unit_resolution,[status(thm)],[26, 23, 20, 10])).
% 0.71/0.70 tff(28,assumption,(~tptp_fun__LE_(f(suc(z)), s(|'0'|))), introduced(assumption)).
% 0.71/0.70 tff(29,plain,
% 0.71/0.70 ((~![A: $i] : tptp_fun__LE_(f(A), s(|'0'|))) | tptp_fun__LE_(f(suc(z)), s(|'0'|))),
% 0.71/0.70 inference(quant_inst,[status(thm)],[])).
% 0.71/0.70 tff(30,plain,
% 0.71/0.70 ($false),
% 0.71/0.70 inference(unit_resolution,[status(thm)],[29, 8, 28])).
% 0.71/0.70 tff(31,plain,(tptp_fun__LE_(f(suc(z)), s(|'0'|))), inference(lemma,lemma(discharge,[]))).
% 0.71/0.70 tff(32,plain,
% 0.71/0.70 (^[B_16: $i] : refl((tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(B_16)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_16)))) <=> (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(B_16)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_16)))))),
% 0.71/0.70 inference(bind,[status(th)],[])).
% 0.71/0.70 tff(33,plain,
% 0.71/0.70 (![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(B_16)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_16)))) <=> ![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(B_16)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_16))))),
% 0.71/0.70 inference(quant_intro,[status(thm)],[32])).
% 0.71/0.70 tff(34,plain,
% 0.71/0.70 (![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(B_16)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_16)))) <=> ![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(B_16)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_16))))),
% 0.71/0.70 inference(rewrite,[status(thm)],[])).
% 0.71/0.70 tff(35,plain,
% 0.71/0.70 (^[B_16: $i] : rewrite((((~tptp_fun__LE_(f(suc(B_16)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_16)))) | tptp_fun__LE_(f(B_16), |'0'|)) <=> (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(B_16)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_16)))))),
% 0.71/0.70 inference(bind,[status(th)],[])).
% 0.71/0.70 tff(36,plain,
% 0.71/0.70 (![B_16: $i] : (((~tptp_fun__LE_(f(suc(B_16)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_16)))) | tptp_fun__LE_(f(B_16), |'0'|)) <=> ![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(B_16)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_16))))),
% 0.71/0.70 inference(quant_intro,[status(thm)],[35])).
% 0.71/0.70 tff(37,axiom,(![B_16: $i] : (((~tptp_fun__LE_(f(suc(B_16)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_16)))) | tptp_fun__LE_(f(B_16), |'0'|))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_5')).
% 0.71/0.70 tff(38,plain,
% 0.71/0.70 (![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(B_16)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_16))))),
% 0.71/0.70 inference(modus_ponens,[status(thm)],[37, 36])).
% 0.71/0.70 tff(39,plain,
% 0.71/0.70 (![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(B_16)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_16))))),
% 0.71/0.70 inference(modus_ponens,[status(thm)],[38, 34])).
% 0.71/0.70 tff(40,plain,(
% 0.71/0.70 ![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(B_16)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_16))))),
% 0.71/0.70 inference(skolemize,[status(sab)],[39])).
% 0.71/0.70 tff(41,plain,
% 0.71/0.70 (![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(B_16)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_16))))),
% 0.71/0.70 inference(modus_ponens,[status(thm)],[40, 33])).
% 0.71/0.70 tff(42,plain,
% 0.71/0.70 (((~![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(B_16)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_16))))) | (tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(suc(z)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(z))))) <=> ((~![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(B_16)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_16))))) | tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(suc(z)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(z))))),
% 0.71/0.70 inference(rewrite,[status(thm)],[])).
% 0.71/0.70 tff(43,plain,
% 0.71/0.70 ((~![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(B_16)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_16))))) | (tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(suc(z)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(z))))),
% 0.71/0.70 inference(quant_inst,[status(thm)],[])).
% 0.71/0.70 tff(44,plain,
% 0.71/0.70 ((~![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(B_16)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_16))))) | tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(suc(z)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(z)))),
% 0.71/0.70 inference(modus_ponens,[status(thm)],[43, 42])).
% 0.71/0.70 tff(45,plain,
% 0.71/0.70 ((~tptp_fun__LE_(f(suc(z)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(z)))),
% 0.71/0.70 inference(unit_resolution,[status(thm)],[44, 41, 23])).
% 0.71/0.70 tff(46,plain,
% 0.71/0.70 (tptp_fun__E_(|'0'|, f(suc(z)))),
% 0.71/0.70 inference(unit_resolution,[status(thm)],[45, 31])).
% 0.71/0.70 tff(47,plain,
% 0.71/0.70 (^[A_1: $i] : refl((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_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))))),
% 0.71/0.70 inference(bind,[status(th)],[])).
% 0.71/0.70 tff(48,plain,
% 0.71/0.70 (![A_1: $i] : (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))))) <=> ![A_1: $i] : (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)))))),
% 0.71/0.70 inference(quant_intro,[status(thm)],[47])).
% 0.71/0.70 tff(49,plain,
% 0.71/0.70 (![A_1: $i] : (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))))) <=> ![A_1: $i] : (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)))))),
% 0.71/0.70 inference(rewrite,[status(thm)],[])).
% 0.71/0.70 tff(50,plain,
% 0.71/0.70 (^[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))) <=> (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)))))), (((((~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))) <=> (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)))))))),
% 0.71/0.70 inference(bind,[status(th)],[])).
% 0.71/0.70 tff(51,plain,
% 0.71/0.70 (![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] : (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)))))),
% 0.71/0.71 inference(quant_intro,[status(thm)],[50])).
% 0.71/0.71 tff(52,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/sandbox/benchmark/theBenchmark.p','clause_84')).
% 0.71/0.71 tff(53,plain,
% 0.71/0.71 (![A_1: $i] : (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)))))),
% 0.71/0.71 inference(modus_ponens,[status(thm)],[52, 51])).
% 0.71/0.71 tff(54,plain,
% 0.71/0.71 (![A_1: $i] : (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)))))),
% 0.71/0.71 inference(modus_ponens,[status(thm)],[53, 49])).
% 0.71/0.71 tff(55,plain,(
% 0.71/0.71 ![A_1: $i] : (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)))))),
% 0.71/0.71 inference(skolemize,[status(sab)],[54])).
% 0.71/0.71 tff(56,plain,
% 0.71/0.71 (![A_1: $i] : (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)))))),
% 0.71/0.71 inference(modus_ponens,[status(thm)],[55, 48])).
% 0.71/0.71 tff(57,plain,
% 0.71/0.71 (((~![A_1: $i] : (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(z), suc(z)) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))))) <=> ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))))) | iLEQ(suc(z), suc(z)) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))))),
% 0.71/0.71 inference(rewrite,[status(thm)],[])).
% 0.71/0.71 tff(58,plain,
% 0.71/0.71 ((~![A_1: $i] : (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(z), suc(z)) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))))),
% 0.71/0.71 inference(quant_inst,[status(thm)],[])).
% 0.71/0.71 tff(59,plain,
% 0.71/0.71 ((~![A_1: $i] : (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(z), suc(z)) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z))))),
% 0.71/0.71 inference(modus_ponens,[status(thm)],[58, 57])).
% 0.71/0.71 tff(60,plain,
% 0.71/0.71 (iLEQ(suc(z), suc(z)) | tptp_fun__E_(f(z), f(suc(z)))),
% 0.71/0.71 inference(unit_resolution,[status(thm)],[59, 56, 46, 27])).
% 0.71/0.71 tff(61,plain,
% 0.71/0.71 (tptp_fun__E_(f(z), f(suc(z)))),
% 0.71/0.71 inference(unit_resolution,[status(thm)],[60, 1])).
% 0.71/0.71 tff(62,assumption,(~tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))), introduced(assumption)).
% 0.71/0.71 tff(63,plain,
% 0.71/0.71 ((~![A: $i] : tptp_fun__LE_(f(A), s(|'0'|))) | tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))),
% 0.71/0.71 inference(quant_inst,[status(thm)],[])).
% 0.71/0.71 tff(64,plain,
% 0.71/0.71 ($false),
% 0.71/0.71 inference(unit_resolution,[status(thm)],[63, 8, 62])).
% 0.71/0.71 tff(65,plain,(tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))), inference(lemma,lemma(discharge,[]))).
% 0.71/0.71 tff(66,plain,
% 0.71/0.71 (^[B_16: $i] : refl((tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(suc(B_16))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_16))))) <=> (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(suc(B_16))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_16))))))),
% 0.71/0.71 inference(bind,[status(th)],[])).
% 0.71/0.71 tff(67,plain,
% 0.71/0.71 (![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(suc(B_16))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_16))))) <=> ![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(suc(B_16))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_16)))))),
% 0.71/0.71 inference(quant_intro,[status(thm)],[66])).
% 0.71/0.71 tff(68,plain,
% 0.71/0.71 (![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(suc(B_16))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_16))))) <=> ![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(suc(B_16))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_16)))))),
% 0.71/0.71 inference(rewrite,[status(thm)],[])).
% 0.71/0.71 tff(69,plain,
% 0.71/0.71 (^[B_16: $i] : rewrite((((~tptp_fun__LE_(f(suc(suc(B_16))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_16))))) | tptp_fun__LE_(f(B_16), |'0'|)) <=> (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(suc(B_16))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_16))))))),
% 0.71/0.71 inference(bind,[status(th)],[])).
% 0.71/0.71 tff(70,plain,
% 0.71/0.71 (![B_16: $i] : (((~tptp_fun__LE_(f(suc(suc(B_16))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_16))))) | tptp_fun__LE_(f(B_16), |'0'|)) <=> ![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(suc(B_16))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_16)))))),
% 0.71/0.71 inference(quant_intro,[status(thm)],[69])).
% 0.71/0.71 tff(71,axiom,(![B_16: $i] : (((~tptp_fun__LE_(f(suc(suc(B_16))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_16))))) | tptp_fun__LE_(f(B_16), |'0'|))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_72')).
% 0.71/0.71 tff(72,plain,
% 0.71/0.71 (![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(suc(B_16))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_16)))))),
% 0.71/0.71 inference(modus_ponens,[status(thm)],[71, 70])).
% 0.71/0.71 tff(73,plain,
% 0.71/0.71 (![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(suc(B_16))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_16)))))),
% 0.71/0.71 inference(modus_ponens,[status(thm)],[72, 68])).
% 0.71/0.71 tff(74,plain,(
% 0.71/0.71 ![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(suc(B_16))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_16)))))),
% 0.71/0.71 inference(skolemize,[status(sab)],[73])).
% 0.71/0.71 tff(75,plain,
% 0.71/0.71 (![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(suc(B_16))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_16)))))),
% 0.71/0.71 inference(modus_ponens,[status(thm)],[74, 67])).
% 0.71/0.71 tff(76,plain,
% 0.71/0.71 (((~![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(suc(B_16))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_16)))))) | (tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(z)))))) <=> ((~![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(suc(B_16))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_16)))))) | tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(z)))))),
% 0.71/0.71 inference(rewrite,[status(thm)],[])).
% 0.71/0.71 tff(77,plain,
% 0.71/0.71 ((~![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(suc(B_16))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_16)))))) | (tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(z)))))),
% 0.71/0.71 inference(quant_inst,[status(thm)],[])).
% 0.71/0.71 tff(78,plain,
% 0.71/0.71 ((~![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(suc(B_16))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_16)))))) | tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(z))))),
% 0.71/0.71 inference(modus_ponens,[status(thm)],[77, 76])).
% 0.71/0.71 tff(79,plain,
% 0.71/0.71 ((~tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(z))))),
% 0.71/0.71 inference(unit_resolution,[status(thm)],[78, 23, 75])).
% 0.71/0.71 tff(80,plain,
% 0.71/0.71 (tptp_fun__E_(|'0'|, f(suc(suc(z))))),
% 0.71/0.71 inference(unit_resolution,[status(thm)],[79, 65])).
% 0.71/0.71 tff(81,plain,
% 0.71/0.71 (^[A_1: $i] : refl((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_(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))))))),
% 0.71/0.71 inference(bind,[status(th)],[])).
% 0.71/0.71 tff(82,plain,
% 0.71/0.71 (![A_1: $i] : (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))))) <=> ![A_1: $i] : (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)))))),
% 0.71/0.71 inference(quant_intro,[status(thm)],[81])).
% 0.71/0.71 tff(83,plain,
% 0.71/0.71 (![A_1: $i] : (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))))) <=> ![A_1: $i] : (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)))))),
% 0.71/0.71 inference(rewrite,[status(thm)],[])).
% 0.71/0.71 tff(84,plain,
% 0.71/0.71 (^[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))) <=> (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)))))), ((((((~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))) <=> (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)))))))),
% 0.71/0.71 inference(bind,[status(th)],[])).
% 0.71/0.71 tff(85,plain,
% 0.71/0.71 (![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] : (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)))))),
% 0.71/0.71 inference(quant_intro,[status(thm)],[84])).
% 0.71/0.71 tff(86,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/sandbox/benchmark/theBenchmark.p','clause_379')).
% 0.71/0.71 tff(87,plain,
% 0.71/0.71 (![A_1: $i] : (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)))))),
% 0.71/0.71 inference(modus_ponens,[status(thm)],[86, 85])).
% 0.71/0.71 tff(88,plain,
% 0.71/0.71 (![A_1: $i] : (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)))))),
% 0.71/0.71 inference(modus_ponens,[status(thm)],[87, 83])).
% 0.71/0.71 tff(89,plain,(
% 0.71/0.71 ![A_1: $i] : (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)))))),
% 0.71/0.71 inference(skolemize,[status(sab)],[88])).
% 0.71/0.71 tff(90,plain,
% 0.71/0.71 (![A_1: $i] : (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)))))),
% 0.71/0.71 inference(modus_ponens,[status(thm)],[89, 82])).
% 0.71/0.71 tff(91,plain,
% 0.71/0.71 (((~![A_1: $i] : (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(z), suc(z)) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))))) <=> ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))))) | iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))))),
% 0.71/0.71 inference(rewrite,[status(thm)],[])).
% 0.71/0.71 tff(92,plain,
% 0.71/0.71 ((iLEQ(suc(z), suc(z)) | (~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(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))))),
% 0.71/0.71 inference(rewrite,[status(thm)],[])).
% 0.71/0.71 tff(93,plain,
% 0.71/0.71 (((~![A_1: $i] : (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(z), suc(z)) | (~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)))))) <=> ((~![A_1: $i] : (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(z), suc(z)) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z))))))),
% 0.71/0.71 inference(monotonicity,[status(thm)],[92])).
% 0.71/0.71 tff(94,plain,
% 0.71/0.71 (((~![A_1: $i] : (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(z), suc(z)) | (~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)))))) <=> ((~![A_1: $i] : (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(z), suc(z)) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))))),
% 0.71/0.72 inference(transitivity,[status(thm)],[93, 91])).
% 0.71/0.72 tff(95,plain,
% 0.71/0.72 ((~![A_1: $i] : (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(z), suc(z)) | (~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)))))),
% 0.71/0.72 inference(quant_inst,[status(thm)],[])).
% 0.71/0.72 tff(96,plain,
% 0.71/0.72 ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))))) | iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z))))),
% 0.71/0.72 inference(modus_ponens,[status(thm)],[95, 94])).
% 0.71/0.72 tff(97,plain,
% 0.71/0.72 (iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(f(z), f(suc(z))))),
% 0.71/0.72 inference(unit_resolution,[status(thm)],[96, 90, 46, 80, 27])).
% 0.71/0.72 tff(98,plain,
% 0.71/0.72 ($false),
% 0.71/0.72 inference(unit_resolution,[status(thm)],[97, 61, 1])).
% 0.71/0.72 tff(99,plain,(iLEQ(suc(z), suc(z))), inference(lemma,lemma(discharge,[]))).
% 0.71/0.72 tff(100,plain,
% 0.71/0.72 (^[B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : refl(((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) <=> ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))))),
% 0.71/0.72 inference(bind,[status(th)],[])).
% 0.71/0.72 tff(101,plain,
% 0.71/0.72 (![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) <=> ![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))),
% 0.71/0.72 inference(quant_intro,[status(thm)],[100])).
% 0.71/0.72 tff(102,plain,
% 0.71/0.72 (![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) <=> ![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))),
% 0.71/0.72 inference(rewrite,[status(thm)],[])).
% 0.71/0.72 tff(103,plain,
% 0.71/0.72 (^[B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $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(rewrite(((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))))), ((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) <=> (((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18)))))) | (~iLEQ(suc(B_18), suc(B_19)))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18)))))) | (~iLEQ(suc(B_18), suc(B_19)))) <=> ((~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))))), ((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) <=> ((~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18)))))))), (((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) <=> (((~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))))), rewrite((((~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))))), (((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18)))))))), ((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~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)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))), ((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~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)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))))), (((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) <=> (((~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))), (((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))))), ((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) <=> (((~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~iLEQ(suc(B_17), suc(B_18)))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~iLEQ(suc(B_17), suc(B_18)))) <=> ((~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))), ((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) <=> ((~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))))), (((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) <=> (((~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(B_19)))))), rewrite((((~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(B_19)))) <=> ((~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))), (((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) <=> ((~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))))), ((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) <=> (((~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))))), rewrite((((~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))), ((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))))), (((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) <=> (((~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))), (((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))))), ((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) <=> (((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))), ((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))))), (((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) <=> (((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))), (((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))))), ((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) <=> (((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))), ((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))))), (((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) | (~iLEQ(suc(B_19), suc(B_20)))) <=> (((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~iLEQ(suc(B_19), suc(B_20)))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~iLEQ(suc(B_19), suc(B_20)))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))), (((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) | (~iLEQ(suc(B_19), suc(B_20)))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))))), ((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) <=> (((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(B_18)))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(B_18)))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))), ((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))))), (((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) <=> (((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(B_17)))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(B_17)))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))), (((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))))), ((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) <=> (((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))), ((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))))), (((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) <=> (((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~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(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~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(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(f(B_19), f(suc(B_19))))) <=> (((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(f(B_19), f(suc(B_19))))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(f(B_19), f(suc(B_19))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~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(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(f(B_19), f(suc(B_19))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~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(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(f(B_19), f(suc(B_19))))) | (~tptp_fun__E_(f(B_20), f(suc(B_20))))) <=> (((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(f(B_20), f(suc(B_20))))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(f(B_20), f(suc(B_20))))) <=> ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~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(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(f(B_19), f(suc(B_19))))) | (~tptp_fun__E_(f(B_20), f(suc(B_20))))) <=> ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~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(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(f(B_19), f(suc(B_19))))) | (~tptp_fun__E_(f(B_20), f(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) <=> (((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(B_20)))))), rewrite((((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) <=> ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~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(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(f(B_19), f(suc(B_19))))) | (~tptp_fun__E_(f(B_20), f(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) <=> ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~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(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(f(B_19), f(suc(B_19))))) | (~tptp_fun__E_(f(B_20), f(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) <=> (((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~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(B_20))))))), rewrite((((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~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(B_20))))) <=> ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~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(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(f(B_19), f(suc(B_19))))) | (~tptp_fun__E_(f(B_20), f(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) <=> ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~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(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(f(B_19), f(suc(B_19))))) | (~tptp_fun__E_(f(B_20), f(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) | (~tptp_fun__E_(f(B_17), f(suc(B_17))))) <=> (((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(f(B_17), f(suc(B_17))))))), rewrite((((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(f(B_17), f(suc(B_17))))) <=> ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~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(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(f(B_19), f(suc(B_19))))) | (~tptp_fun__E_(f(B_20), f(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) | (~tptp_fun__E_(f(B_17), f(suc(B_17))))) <=> ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~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(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(f(B_19), f(suc(B_19))))) | (~tptp_fun__E_(f(B_20), f(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) | (~tptp_fun__E_(f(B_17), f(suc(B_17))))) | (~iLEQ(suc(A_1), suc(B_17)))) <=> (((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~iLEQ(suc(A_1), suc(B_17)))))), rewrite((((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~iLEQ(suc(A_1), suc(B_17)))) <=> ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~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(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(f(B_19), f(suc(B_19))))) | (~tptp_fun__E_(f(B_20), f(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) | (~tptp_fun__E_(f(B_17), f(suc(B_17))))) | (~iLEQ(suc(A_1), suc(B_17)))) <=> ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))))),
% 0.77/0.76 inference(bind,[status(th)],[])).
% 0.77/0.76 tff(104,plain,
% 0.77/0.76 (![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : ((((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(f(B_19), f(suc(B_19))))) | (~tptp_fun__E_(f(B_20), f(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) | (~tptp_fun__E_(f(B_17), f(suc(B_17))))) | (~iLEQ(suc(A_1), suc(B_17)))) <=> ![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))),
% 0.77/0.76 inference(quant_intro,[status(thm)],[103])).
% 0.77/0.76 tff(105,axiom,(![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : ((((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(f(B_19), f(suc(B_19))))) | (~tptp_fun__E_(f(B_20), f(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) | (~tptp_fun__E_(f(B_17), f(suc(B_17))))) | (~iLEQ(suc(A_1), suc(B_17))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_125')).
% 0.77/0.76 tff(106,plain,
% 0.77/0.76 (![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))),
% 0.77/0.76 inference(modus_ponens,[status(thm)],[105, 104])).
% 0.77/0.76 tff(107,plain,
% 0.77/0.76 (![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))),
% 0.77/0.76 inference(modus_ponens,[status(thm)],[106, 102])).
% 0.77/0.76 tff(108,plain,(
% 0.77/0.76 ![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))),
% 0.77/0.76 inference(skolemize,[status(sab)],[107])).
% 0.77/0.76 tff(109,plain,
% 0.77/0.76 (![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))),
% 0.77/0.76 inference(modus_ponens,[status(thm)],[108, 101])).
% 0.77/0.76 tff(110,plain,
% 0.77/0.76 (((~![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))) | ((~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~iLEQ(suc(z), suc(z))))) <=> ((~![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~iLEQ(suc(z), suc(z))))),
% 0.77/0.76 inference(rewrite,[status(thm)],[])).
% 0.77/0.76 tff(111,plain,
% 0.77/0.76 (((~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(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_(|'0'|, f(suc(suc(z))))) | (~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)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~iLEQ(suc(z), suc(z))))),
% 0.77/0.76 inference(rewrite,[status(thm)],[])).
% 0.77/0.76 tff(112,plain,
% 0.77/0.76 (((~![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))) | ((~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(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_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))))) <=> ((~![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))) | ((~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~iLEQ(suc(z), suc(z)))))),
% 0.77/0.76 inference(monotonicity,[status(thm)],[111])).
% 0.77/0.76 tff(113,plain,
% 0.77/0.76 (((~![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))) | ((~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(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_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))))) <=> ((~![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~iLEQ(suc(z), suc(z))))),
% 0.77/0.76 inference(transitivity,[status(thm)],[112, 110])).
% 0.77/0.76 tff(114,plain,
% 0.77/0.76 ((~![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))) | ((~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(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_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))))),
% 0.77/0.76 inference(quant_inst,[status(thm)],[])).
% 0.77/0.76 tff(115,plain,
% 0.77/0.76 ((~![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~iLEQ(suc(z), suc(z)))),
% 0.77/0.76 inference(modus_ponens,[status(thm)],[114, 113])).
% 0.77/0.76 tff(116,plain,
% 0.77/0.76 (~tptp_fun__E_(f(z), f(suc(z)))),
% 0.77/0.76 inference(unit_resolution,[status(thm)],[115, 109, 46, 80, 27, 99])).
% 0.77/0.76 tff(117,plain,
% 0.77/0.76 (^[B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : refl((tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | tptp_fun__E_(f(B_17), f(suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) <=> (tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | tptp_fun__E_(f(B_17), f(suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))))),
% 0.77/0.76 inference(bind,[status(th)],[])).
% 0.77/0.76 tff(118,plain,
% 0.77/0.76 (![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : (tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | tptp_fun__E_(f(B_17), f(suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) <=> ![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : (tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | tptp_fun__E_(f(B_17), f(suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))),
% 0.77/0.76 inference(quant_intro,[status(thm)],[117])).
% 0.77/0.76 tff(119,plain,
% 0.77/0.76 (![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : (tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | tptp_fun__E_(f(B_17), f(suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) <=> ![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : (tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | tptp_fun__E_(f(B_17), f(suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))),
% 0.77/0.77 inference(rewrite,[status(thm)],[])).
% 0.77/0.77 tff(120,plain,
% 0.77/0.77 (^[B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) <=> ((~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))), ((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) <=> (((~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))))), rewrite((((~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))), ((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))))), (((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) <=> (((~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))), (((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))))), ((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) <=> (((~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_17), suc(B_18)))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_17), suc(B_18)))) <=> ((~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))), ((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) <=> ((~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))))), (((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) <=> (((~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19)))))), rewrite((((~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19)))) <=> ((~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))), (((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) <=> ((~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))))), ((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) <=> (((~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(A_1)))))), rewrite((((~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) <=> ((~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))), ((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) <=> ((~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))))), (((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) <=> (((~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_19), suc(B_20)))))), rewrite((((~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_19), suc(B_20)))) <=> ((~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))), (((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) <=> ((~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))))), ((((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) <=> (((~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_18)))))), rewrite((((~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_18)))) <=> ((~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))), ((((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) <=> ((~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))))), (((((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) <=> (((~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_17)))))), rewrite((((~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_17)))) <=> ((~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))), (((((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) <=> ((~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))))), ((((((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) <=> (((~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))))), rewrite((((~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))), ((((((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))))), (((((((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) <=> (((~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_20)))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) <=> ((~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))), (((((((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) <=> ((~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))))), ((((((((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) <=> (((~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))))), rewrite((((~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))), ((((((((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))))), (((((((((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17)))) <=> (((~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(A_1), suc(B_17)))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(A_1), suc(B_17)))) <=> ((~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))), (((((((((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17)))) <=> ((~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))))), ((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17)))) | tptp_fun__E_(f(B_18), f(suc(B_18)))) <=> (((~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | tptp_fun__E_(f(B_18), f(suc(B_18)))))), rewrite((((~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | tptp_fun__E_(f(B_18), f(suc(B_18)))) <=> ((~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))), ((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17)))) | tptp_fun__E_(f(B_18), f(suc(B_18)))) <=> ((~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))))), (((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17)))) | tptp_fun__E_(f(B_18), f(suc(B_18)))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) <=> (((~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | tptp_fun__E_(f(A_1), f(suc(A_1)))))), rewrite((((~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) <=> (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))), (((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17)))) | tptp_fun__E_(f(B_18), f(suc(B_18)))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) <=> (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))))), ((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17)))) | tptp_fun__E_(f(B_18), f(suc(B_18)))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | tptp_fun__E_(f(B_19), f(suc(B_19)))) <=> ((tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | tptp_fun__E_(f(B_19), f(suc(B_19)))))), rewrite(((tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | tptp_fun__E_(f(B_19), f(suc(B_19)))) <=> (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))), ((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17)))) | tptp_fun__E_(f(B_18), f(suc(B_18)))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | tptp_fun__E_(f(B_19), f(suc(B_19)))) <=> (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))))), (((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17)))) | tptp_fun__E_(f(B_18), f(suc(B_18)))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | tptp_fun__E_(f(B_19), f(suc(B_19)))) | tptp_fun__E_(f(B_20), f(suc(B_20)))) <=> ((tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | tptp_fun__E_(f(B_20), f(suc(B_20)))))), rewrite(((tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | tptp_fun__E_(f(B_20), f(suc(B_20)))) <=> (tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))), (((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17)))) | tptp_fun__E_(f(B_18), f(suc(B_18)))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | tptp_fun__E_(f(B_19), f(suc(B_19)))) | tptp_fun__E_(f(B_20), f(suc(B_20)))) <=> (tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))))), ((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17)))) | tptp_fun__E_(f(B_18), f(suc(B_18)))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | tptp_fun__E_(f(B_19), f(suc(B_19)))) | tptp_fun__E_(f(B_20), f(suc(B_20)))) | tptp_fun__E_(f(B_17), f(suc(B_17)))) <=> ((tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | tptp_fun__E_(f(B_17), f(suc(B_17)))))), rewrite(((tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | tptp_fun__E_(f(B_17), f(suc(B_17)))) <=> (tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | tptp_fun__E_(f(B_17), f(suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))), ((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17)))) | tptp_fun__E_(f(B_18), f(suc(B_18)))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | tptp_fun__E_(f(B_19), f(suc(B_19)))) | tptp_fun__E_(f(B_20), f(suc(B_20)))) | tptp_fun__E_(f(B_17), f(suc(B_17)))) <=> (tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | tptp_fun__E_(f(B_17), f(suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))))),
% 0.77/0.78 inference(bind,[status(th)],[])).
% 0.77/0.78 tff(121,plain,
% 0.77/0.78 (![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : (((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17)))) | tptp_fun__E_(f(B_18), f(suc(B_18)))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | tptp_fun__E_(f(B_19), f(suc(B_19)))) | tptp_fun__E_(f(B_20), f(suc(B_20)))) | tptp_fun__E_(f(B_17), f(suc(B_17)))) <=> ![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : (tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | tptp_fun__E_(f(B_17), f(suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))),
% 0.77/0.78 inference(quant_intro,[status(thm)],[120])).
% 0.77/0.78 tff(122,axiom,(![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : (((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17)))) | tptp_fun__E_(f(B_18), f(suc(B_18)))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | tptp_fun__E_(f(B_19), f(suc(B_19)))) | tptp_fun__E_(f(B_20), f(suc(B_20)))) | tptp_fun__E_(f(B_17), f(suc(B_17))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_209')).
% 0.77/0.78 tff(123,plain,
% 0.77/0.78 (![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : (tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | tptp_fun__E_(f(B_17), f(suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))),
% 0.77/0.78 inference(modus_ponens,[status(thm)],[122, 121])).
% 0.77/0.78 tff(124,plain,
% 0.77/0.78 (![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : (tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | tptp_fun__E_(f(B_17), f(suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))),
% 0.77/0.78 inference(modus_ponens,[status(thm)],[123, 119])).
% 0.77/0.78 tff(125,plain,(
% 0.77/0.78 ![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : (tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | tptp_fun__E_(f(B_17), f(suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))),
% 0.77/0.78 inference(skolemize,[status(sab)],[124])).
% 0.77/0.78 tff(126,plain,
% 0.77/0.78 (![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : (tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | tptp_fun__E_(f(B_17), f(suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))),
% 0.77/0.78 inference(modus_ponens,[status(thm)],[125, 118])).
% 0.77/0.78 tff(127,plain,
% 0.77/0.78 (((~![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : (tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | tptp_fun__E_(f(B_17), f(suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))) | (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))))) <=> ((~![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : (tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | tptp_fun__E_(f(B_17), f(suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))) | 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))))),
% 0.77/0.78 inference(rewrite,[status(thm)],[])).
% 0.77/0.78 tff(128,plain,
% 0.77/0.78 ((tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~iLEQ(suc(z), suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(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))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))))),
% 0.77/0.78 inference(rewrite,[status(thm)],[])).
% 0.77/0.78 tff(129,plain,
% 0.77/0.78 (((~![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : (tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | tptp_fun__E_(f(B_17), f(suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))) | (tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~iLEQ(suc(z), suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(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)))))) <=> ((~![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : (tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | tptp_fun__E_(f(B_17), f(suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))) | (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)))))),
% 0.77/0.78 inference(monotonicity,[status(thm)],[128])).
% 0.77/0.78 tff(130,plain,
% 0.77/0.78 (((~![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : (tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | tptp_fun__E_(f(B_17), f(suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))) | (tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~iLEQ(suc(z), suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(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)))))) <=> ((~![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : (tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | tptp_fun__E_(f(B_17), f(suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))) | 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))))),
% 0.77/0.79 inference(transitivity,[status(thm)],[129, 127])).
% 0.77/0.79 tff(131,plain,
% 0.77/0.79 ((~![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : (tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | tptp_fun__E_(f(B_17), f(suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))) | (tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~iLEQ(suc(z), suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(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)))))),
% 0.77/0.79 inference(quant_inst,[status(thm)],[])).
% 0.77/0.79 tff(132,plain,
% 0.77/0.79 ((~![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : (tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | tptp_fun__E_(f(B_17), f(suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z)))),
% 0.77/0.79 inference(modus_ponens,[status(thm)],[131, 130])).
% 0.77/0.79 tff(133,plain,
% 0.77/0.79 ($false),
% 0.77/0.79 inference(unit_resolution,[status(thm)],[132, 126, 46, 27, 99, 116])).
% 0.77/0.79 % SZS output end Proof
%------------------------------------------------------------------------------