TSTP Solution File: SYO663-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYO663-1 : 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 01:41:14 EDT 2022
% Result : Unsatisfiable 15.38s 10.30s
% Output : Proof 15.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO663-1 : 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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Sep 5 15:44:33 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 15.38/10.30 % SZS status Unsatisfiable
% 15.38/10.30 % SZS output start Proof
% 15.38/10.30 tff(tptp_fun__E__type, type, (
% 15.38/10.30 tptp_fun__E_: ( $i * $i ) > $o)).
% 15.38/10.30 tff(f_type, type, (
% 15.38/10.30 f: $i > $i)).
% 15.38/10.30 tff(suc_type, type, (
% 15.38/10.30 suc: $i > $i)).
% 15.38/10.30 tff(z_type, type, (
% 15.38/10.30 z: $i)).
% 15.38/10.30 tff(tptp_fun__0__type, type, (
% 15.38/10.30 tptp_fun__0_: $i)).
% 15.38/10.30 tff(tptp_fun__LE__type, type, (
% 15.38/10.30 tptp_fun__LE_: ( $i * $i ) > $o)).
% 15.38/10.30 tff(s_type, type, (
% 15.38/10.30 s: $i > $i)).
% 15.38/10.30 tff(iLEQ_type, type, (
% 15.38/10.30 iLEQ: ( $i * $i ) > $o)).
% 15.38/10.30 tff(1,plain,
% 15.38/10.30 (^[A: $i] : refl(tptp_fun__LE_(f(A), s(s(|'0'|))) <=> tptp_fun__LE_(f(A), s(s(|'0'|))))),
% 15.38/10.30 inference(bind,[status(th)],[])).
% 15.38/10.30 tff(2,plain,
% 15.38/10.30 (![A: $i] : tptp_fun__LE_(f(A), s(s(|'0'|))) <=> ![A: $i] : tptp_fun__LE_(f(A), s(s(|'0'|)))),
% 15.38/10.30 inference(quant_intro,[status(thm)],[1])).
% 15.38/10.30 tff(3,plain,
% 15.38/10.30 (![A: $i] : tptp_fun__LE_(f(A), s(s(|'0'|))) <=> ![A: $i] : tptp_fun__LE_(f(A), s(s(|'0'|)))),
% 15.38/10.30 inference(rewrite,[status(thm)],[])).
% 15.38/10.30 tff(4,axiom,(![A: $i] : tptp_fun__LE_(f(A), s(s(|'0'|)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_216')).
% 15.38/10.30 tff(5,plain,
% 15.38/10.30 (![A: $i] : tptp_fun__LE_(f(A), s(s(|'0'|)))),
% 15.38/10.30 inference(modus_ponens,[status(thm)],[4, 3])).
% 15.38/10.30 tff(6,plain,(
% 15.38/10.30 ![A: $i] : tptp_fun__LE_(f(A), s(s(|'0'|)))),
% 15.38/10.30 inference(skolemize,[status(sab)],[5])).
% 15.38/10.30 tff(7,plain,
% 15.38/10.30 (![A: $i] : tptp_fun__LE_(f(A), s(s(|'0'|)))),
% 15.38/10.30 inference(modus_ponens,[status(thm)],[6, 2])).
% 15.38/10.30 tff(8,plain,
% 15.38/10.30 ((~![A: $i] : tptp_fun__LE_(f(A), s(s(|'0'|)))) | tptp_fun__LE_(f(suc(z)), s(s(|'0'|)))),
% 15.38/10.30 inference(quant_inst,[status(thm)],[])).
% 15.38/10.30 tff(9,plain,
% 15.38/10.30 (tptp_fun__LE_(f(suc(z)), s(s(|'0'|)))),
% 15.38/10.30 inference(unit_resolution,[status(thm)],[8, 7])).
% 15.38/10.30 tff(10,assumption,(~tptp_fun__LE_(f(suc(z)), s(|'0'|))), introduced(assumption)).
% 15.38/10.30 tff(11,plain,
% 15.38/10.30 (^[B_23: $i] : refl((tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23))) <=> (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23))))),
% 15.38/10.30 inference(bind,[status(th)],[])).
% 15.38/10.30 tff(12,plain,
% 15.38/10.30 (![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23))) <=> ![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23)))),
% 15.38/10.30 inference(quant_intro,[status(thm)],[11])).
% 15.38/10.30 tff(13,plain,
% 15.38/10.30 (![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23))) <=> ![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23)))),
% 15.38/10.30 inference(rewrite,[status(thm)],[])).
% 15.38/10.30 tff(14,plain,
% 15.38/10.30 (^[B_23: $i] : rewrite((((~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23))) | tptp_fun__LE_(f(B_23), s(|'0'|))) <=> (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23))))),
% 15.38/10.30 inference(bind,[status(th)],[])).
% 15.38/10.30 tff(15,plain,
% 15.38/10.30 (![B_23: $i] : (((~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23))) | tptp_fun__LE_(f(B_23), s(|'0'|))) <=> ![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23)))),
% 15.38/10.30 inference(quant_intro,[status(thm)],[14])).
% 15.38/10.30 tff(16,axiom,(![B_23: $i] : (((~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23))) | tptp_fun__LE_(f(B_23), s(|'0'|)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_327')).
% 15.38/10.30 tff(17,plain,
% 15.38/10.30 (![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23)))),
% 15.38/10.30 inference(modus_ponens,[status(thm)],[16, 15])).
% 15.38/10.30 tff(18,plain,
% 15.38/10.30 (![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23)))),
% 15.38/10.30 inference(modus_ponens,[status(thm)],[17, 13])).
% 15.38/10.30 tff(19,plain,(
% 15.38/10.30 ![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23)))),
% 15.38/10.30 inference(skolemize,[status(sab)],[18])).
% 15.38/10.30 tff(20,plain,
% 15.38/10.30 (![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23)))),
% 15.38/10.30 inference(modus_ponens,[status(thm)],[19, 12])).
% 15.38/10.30 tff(21,plain,
% 15.38/10.30 (((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23)))) | (tptp_fun__LE_(f(suc(z)), s(|'0'|)) | (~tptp_fun__LE_(f(suc(z)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(z))))) <=> ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23)))) | tptp_fun__LE_(f(suc(z)), s(|'0'|)) | (~tptp_fun__LE_(f(suc(z)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(z))))),
% 15.38/10.30 inference(rewrite,[status(thm)],[])).
% 15.38/10.30 tff(22,plain,
% 15.38/10.30 ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23)))) | (tptp_fun__LE_(f(suc(z)), s(|'0'|)) | (~tptp_fun__LE_(f(suc(z)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(z))))),
% 15.38/10.30 inference(quant_inst,[status(thm)],[])).
% 15.38/10.30 tff(23,plain,
% 15.38/10.30 ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23)))) | tptp_fun__LE_(f(suc(z)), s(|'0'|)) | (~tptp_fun__LE_(f(suc(z)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(z)))),
% 15.38/10.30 inference(modus_ponens,[status(thm)],[22, 21])).
% 15.38/10.30 tff(24,plain,
% 15.38/10.30 ((~tptp_fun__LE_(f(suc(z)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(z)))),
% 15.38/10.30 inference(unit_resolution,[status(thm)],[23, 20, 10])).
% 15.38/10.30 tff(25,plain,
% 15.38/10.30 (tptp_fun__E_(s(|'0'|), f(suc(z)))),
% 15.38/10.30 inference(unit_resolution,[status(thm)],[24, 9])).
% 15.38/10.30 tff(26,assumption,(~tptp_fun__LE_(f(suc(suc(suc(z)))), s(s(|'0'|)))), introduced(assumption)).
% 15.38/10.30 tff(27,plain,
% 15.38/10.30 ((~![A: $i] : tptp_fun__LE_(f(A), s(s(|'0'|)))) | tptp_fun__LE_(f(suc(suc(suc(z)))), s(s(|'0'|)))),
% 15.38/10.30 inference(quant_inst,[status(thm)],[])).
% 15.38/10.30 tff(28,plain,
% 15.38/10.30 ($false),
% 15.38/10.30 inference(unit_resolution,[status(thm)],[27, 7, 26])).
% 15.38/10.30 tff(29,plain,(tptp_fun__LE_(f(suc(suc(suc(z)))), s(s(|'0'|)))), inference(lemma,lemma(discharge,[]))).
% 15.38/10.30 tff(30,plain,
% 15.38/10.30 (^[B_23: $i] : refl((tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23))))) <=> (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23))))))),
% 15.38/10.30 inference(bind,[status(th)],[])).
% 15.38/10.30 tff(31,plain,
% 15.38/10.30 (![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23))))) <=> ![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23)))))),
% 15.38/10.30 inference(quant_intro,[status(thm)],[30])).
% 15.38/10.30 tff(32,plain,
% 15.38/10.30 (![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23))))) <=> ![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23)))))),
% 15.38/10.30 inference(rewrite,[status(thm)],[])).
% 15.38/10.30 tff(33,plain,
% 15.38/10.30 (^[B_23: $i] : rewrite((((~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23))))) | tptp_fun__LE_(f(B_23), s(|'0'|))) <=> (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23))))))),
% 15.38/10.30 inference(bind,[status(th)],[])).
% 15.38/10.30 tff(34,plain,
% 15.38/10.30 (![B_23: $i] : (((~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23))))) | tptp_fun__LE_(f(B_23), s(|'0'|))) <=> ![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23)))))),
% 15.38/10.30 inference(quant_intro,[status(thm)],[33])).
% 15.38/10.30 tff(35,axiom,(![B_23: $i] : (((~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23))))) | tptp_fun__LE_(f(B_23), s(|'0'|)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_312')).
% 15.38/10.30 tff(36,plain,
% 15.38/10.30 (![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23)))))),
% 15.38/10.30 inference(modus_ponens,[status(thm)],[35, 34])).
% 15.38/10.30 tff(37,plain,
% 15.38/10.30 (![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23)))))),
% 15.38/10.30 inference(modus_ponens,[status(thm)],[36, 32])).
% 15.38/10.30 tff(38,plain,(
% 15.38/10.30 ![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23)))))),
% 15.38/10.30 inference(skolemize,[status(sab)],[37])).
% 15.38/10.30 tff(39,plain,
% 15.38/10.30 (![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23)))))),
% 15.38/10.30 inference(modus_ponens,[status(thm)],[38, 31])).
% 15.38/10.30 tff(40,plain,
% 15.38/10.30 (((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23)))))) | (tptp_fun__LE_(f(suc(z)), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(suc(z)))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z))))))) <=> ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23)))))) | tptp_fun__LE_(f(suc(z)), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(suc(z)))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z))))))),
% 15.38/10.30 inference(rewrite,[status(thm)],[])).
% 15.38/10.30 tff(41,plain,
% 15.38/10.30 ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23)))))) | (tptp_fun__LE_(f(suc(z)), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(suc(z)))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z))))))),
% 15.38/10.30 inference(quant_inst,[status(thm)],[])).
% 15.38/10.30 tff(42,plain,
% 15.38/10.30 ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23)))))) | tptp_fun__LE_(f(suc(z)), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(suc(z)))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))),
% 15.38/10.30 inference(modus_ponens,[status(thm)],[41, 40])).
% 15.38/10.30 tff(43,plain,
% 15.38/10.30 (tptp_fun__LE_(f(suc(z)), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))),
% 15.38/10.30 inference(unit_resolution,[status(thm)],[42, 39, 29])).
% 15.38/10.30 tff(44,plain,
% 15.38/10.30 (tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))),
% 15.38/10.30 inference(unit_resolution,[status(thm)],[43, 10])).
% 15.38/10.30 tff(45,assumption,(~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))), introduced(assumption)).
% 15.38/10.30 tff(46,assumption,(~tptp_fun__LE_(f(suc(suc(z))), s(s(|'0'|)))), introduced(assumption)).
% 15.38/10.30 tff(47,plain,
% 15.38/10.30 ((~![A: $i] : tptp_fun__LE_(f(A), s(s(|'0'|)))) | tptp_fun__LE_(f(suc(suc(z))), s(s(|'0'|)))),
% 15.38/10.30 inference(quant_inst,[status(thm)],[])).
% 15.38/10.30 tff(48,plain,
% 15.38/10.30 ($false),
% 15.38/10.30 inference(unit_resolution,[status(thm)],[47, 7, 46])).
% 15.38/10.30 tff(49,plain,(tptp_fun__LE_(f(suc(suc(z))), s(s(|'0'|)))), inference(lemma,lemma(discharge,[]))).
% 15.38/10.30 tff(50,plain,
% 15.38/10.30 (^[B_23: $i] : refl((tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23)))) <=> (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23)))))),
% 15.38/10.30 inference(bind,[status(th)],[])).
% 15.38/10.30 tff(51,plain,
% 15.38/10.30 (![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23)))) <=> ![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23))))),
% 15.38/10.30 inference(quant_intro,[status(thm)],[50])).
% 15.38/10.30 tff(52,plain,
% 15.38/10.30 (![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23)))) <=> ![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23))))),
% 15.38/10.30 inference(rewrite,[status(thm)],[])).
% 15.38/10.30 tff(53,plain,
% 15.38/10.30 (^[B_23: $i] : rewrite((((~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23)))) | tptp_fun__LE_(f(B_23), s(|'0'|))) <=> (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23)))))),
% 15.38/10.30 inference(bind,[status(th)],[])).
% 15.38/10.30 tff(54,plain,
% 15.38/10.30 (![B_23: $i] : (((~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23)))) | tptp_fun__LE_(f(B_23), s(|'0'|))) <=> ![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23))))),
% 15.38/10.30 inference(quant_intro,[status(thm)],[53])).
% 15.38/10.30 tff(55,axiom,(![B_23: $i] : (((~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23)))) | tptp_fun__LE_(f(B_23), s(|'0'|)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_564')).
% 15.38/10.30 tff(56,plain,
% 15.38/10.30 (![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23))))),
% 15.38/10.30 inference(modus_ponens,[status(thm)],[55, 54])).
% 15.38/10.30 tff(57,plain,
% 15.38/10.30 (![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23))))),
% 15.38/10.30 inference(modus_ponens,[status(thm)],[56, 52])).
% 15.38/10.30 tff(58,plain,(
% 15.38/10.30 ![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23))))),
% 15.38/10.30 inference(skolemize,[status(sab)],[57])).
% 15.38/10.30 tff(59,plain,
% 15.38/10.30 (![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23))))),
% 15.38/10.30 inference(modus_ponens,[status(thm)],[58, 51])).
% 15.38/10.30 tff(60,plain,
% 15.38/10.30 (((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23))))) | (tptp_fun__LE_(f(suc(z)), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(z))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(z)))))) <=> ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23))))) | tptp_fun__LE_(f(suc(z)), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(z))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(z)))))),
% 15.38/10.30 inference(rewrite,[status(thm)],[])).
% 15.38/10.30 tff(61,plain,
% 15.38/10.30 ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23))))) | (tptp_fun__LE_(f(suc(z)), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(z))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(z)))))),
% 15.38/10.30 inference(quant_inst,[status(thm)],[])).
% 15.38/10.30 tff(62,plain,
% 15.38/10.30 ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23))))) | tptp_fun__LE_(f(suc(z)), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(z))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(z))))),
% 15.38/10.30 inference(modus_ponens,[status(thm)],[61, 60])).
% 15.38/10.30 tff(63,plain,
% 15.38/10.30 (tptp_fun__LE_(f(suc(z)), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(z))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(z))))),
% 15.38/10.30 inference(unit_resolution,[status(thm)],[62, 59])).
% 15.38/10.30 tff(64,plain,
% 15.38/10.30 (tptp_fun__LE_(f(suc(z)), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(suc(suc(z))))),
% 15.38/10.30 inference(unit_resolution,[status(thm)],[63, 49])).
% 15.38/10.30 tff(65,plain,
% 15.38/10.30 (tptp_fun__LE_(f(suc(z)), s(|'0'|))),
% 15.38/10.30 inference(unit_resolution,[status(thm)],[64, 45])).
% 15.38/10.30 tff(66,plain,
% 15.38/10.30 ((~tptp_fun__LE_(f(z), |'0'|)) <=> (~tptp_fun__LE_(f(z), |'0'|))),
% 15.38/10.30 inference(rewrite,[status(thm)],[])).
% 15.38/10.30 tff(67,axiom,(~tptp_fun__LE_(f(z), |'0'|)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_292')).
% 15.38/10.30 tff(68,plain,
% 15.38/10.30 (~tptp_fun__LE_(f(z), |'0'|)),
% 15.38/10.30 inference(modus_ponens,[status(thm)],[67, 66])).
% 15.38/10.30 tff(69,plain,
% 15.38/10.30 (^[B_35: $i] : refl((tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(suc(B_35)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_35)))) <=> (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(suc(B_35)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_35)))))),
% 15.38/10.30 inference(bind,[status(th)],[])).
% 15.38/10.30 tff(70,plain,
% 15.38/10.30 (![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(suc(B_35)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_35)))) <=> ![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(suc(B_35)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_35))))),
% 15.38/10.31 inference(quant_intro,[status(thm)],[69])).
% 15.38/10.31 tff(71,plain,
% 15.38/10.31 (![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(suc(B_35)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_35)))) <=> ![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(suc(B_35)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_35))))),
% 15.38/10.31 inference(rewrite,[status(thm)],[])).
% 15.38/10.31 tff(72,plain,
% 15.38/10.31 (^[B_35: $i] : rewrite((((~tptp_fun__LE_(f(suc(B_35)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_35)))) | tptp_fun__LE_(f(B_35), |'0'|)) <=> (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(suc(B_35)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_35)))))),
% 15.38/10.31 inference(bind,[status(th)],[])).
% 15.38/10.31 tff(73,plain,
% 15.38/10.31 (![B_35: $i] : (((~tptp_fun__LE_(f(suc(B_35)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_35)))) | tptp_fun__LE_(f(B_35), |'0'|)) <=> ![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(suc(B_35)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_35))))),
% 15.38/10.31 inference(quant_intro,[status(thm)],[72])).
% 15.38/10.31 tff(74,axiom,(![B_35: $i] : (((~tptp_fun__LE_(f(suc(B_35)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_35)))) | tptp_fun__LE_(f(B_35), |'0'|))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_539')).
% 15.38/10.31 tff(75,plain,
% 15.38/10.31 (![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(suc(B_35)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_35))))),
% 15.38/10.31 inference(modus_ponens,[status(thm)],[74, 73])).
% 15.38/10.31 tff(76,plain,
% 15.38/10.31 (![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(suc(B_35)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_35))))),
% 15.38/10.31 inference(modus_ponens,[status(thm)],[75, 71])).
% 15.38/10.31 tff(77,plain,(
% 15.38/10.31 ![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(suc(B_35)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_35))))),
% 15.38/10.31 inference(skolemize,[status(sab)],[76])).
% 15.38/10.31 tff(78,plain,
% 15.38/10.31 (![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(suc(B_35)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_35))))),
% 15.38/10.31 inference(modus_ponens,[status(thm)],[77, 70])).
% 15.38/10.31 tff(79,plain,
% 15.38/10.31 (((~![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(suc(B_35)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_35))))) | (tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(suc(z)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(z))))) <=> ((~![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(suc(B_35)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_35))))) | tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(suc(z)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(z))))),
% 15.38/10.31 inference(rewrite,[status(thm)],[])).
% 15.38/10.31 tff(80,plain,
% 15.38/10.31 ((~![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(suc(B_35)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_35))))) | (tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(suc(z)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(z))))),
% 15.38/10.31 inference(quant_inst,[status(thm)],[])).
% 15.38/10.31 tff(81,plain,
% 15.38/10.31 ((~![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(suc(B_35)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_35))))) | tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(suc(z)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(z)))),
% 15.38/10.31 inference(modus_ponens,[status(thm)],[80, 79])).
% 15.38/10.31 tff(82,plain,
% 15.38/10.31 ((~tptp_fun__LE_(f(suc(z)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(z)))),
% 15.38/10.31 inference(unit_resolution,[status(thm)],[81, 78, 68])).
% 15.38/10.31 tff(83,plain,
% 15.38/10.31 (tptp_fun__E_(|'0'|, f(suc(z)))),
% 15.38/10.31 inference(unit_resolution,[status(thm)],[82, 65])).
% 15.38/10.31 tff(84,assumption,(~tptp_fun__E_(f(z), f(suc(z)))), introduced(assumption)).
% 15.38/10.31 tff(85,assumption,(tptp_fun__E_(|'0'|, f(suc(z)))), introduced(assumption)).
% 15.38/10.31 tff(86,assumption,(~tptp_fun__LE_(f(z), s(|'0'|))), introduced(assumption)).
% 15.38/10.31 tff(87,plain,
% 15.38/10.31 ((~![A: $i] : tptp_fun__LE_(f(A), s(s(|'0'|)))) | tptp_fun__LE_(f(z), s(s(|'0'|)))),
% 15.38/10.31 inference(quant_inst,[status(thm)],[])).
% 15.38/10.31 tff(88,plain,
% 15.38/10.31 (tptp_fun__LE_(f(z), s(s(|'0'|)))),
% 15.38/10.31 inference(unit_resolution,[status(thm)],[87, 7])).
% 15.38/10.31 tff(89,plain,
% 15.38/10.31 (((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23)))) | (tptp_fun__LE_(f(z), s(|'0'|)) | (~tptp_fun__LE_(f(z), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(z)))) <=> ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23)))) | tptp_fun__LE_(f(z), s(|'0'|)) | (~tptp_fun__LE_(f(z), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(z)))),
% 15.38/10.31 inference(rewrite,[status(thm)],[])).
% 15.38/10.31 tff(90,plain,
% 15.38/10.31 ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23)))) | (tptp_fun__LE_(f(z), s(|'0'|)) | (~tptp_fun__LE_(f(z), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(z)))),
% 15.38/10.31 inference(quant_inst,[status(thm)],[])).
% 15.38/10.31 tff(91,plain,
% 15.38/10.31 ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23)))) | tptp_fun__LE_(f(z), s(|'0'|)) | (~tptp_fun__LE_(f(z), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(z))),
% 15.38/10.31 inference(modus_ponens,[status(thm)],[90, 89])).
% 15.38/10.31 tff(92,plain,
% 15.38/10.31 (tptp_fun__LE_(f(z), s(|'0'|)) | (~tptp_fun__LE_(f(z), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(z))),
% 15.38/10.31 inference(unit_resolution,[status(thm)],[91, 20])).
% 15.38/10.31 tff(93,plain,
% 15.38/10.31 (tptp_fun__LE_(f(z), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(z))),
% 15.38/10.31 inference(unit_resolution,[status(thm)],[92, 88])).
% 15.38/10.31 tff(94,plain,
% 15.38/10.31 (tptp_fun__E_(s(|'0'|), f(z))),
% 15.38/10.31 inference(unit_resolution,[status(thm)],[93, 86])).
% 15.38/10.31 tff(95,plain,
% 15.38/10.31 (((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23))))) | (tptp_fun__LE_(f(z), s(|'0'|)) | (~tptp_fun__LE_(f(suc(z)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(z))))) <=> ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23))))) | tptp_fun__LE_(f(z), s(|'0'|)) | (~tptp_fun__LE_(f(suc(z)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(z))))),
% 15.38/10.31 inference(rewrite,[status(thm)],[])).
% 15.38/10.31 tff(96,plain,
% 15.38/10.31 ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23))))) | (tptp_fun__LE_(f(z), s(|'0'|)) | (~tptp_fun__LE_(f(suc(z)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(z))))),
% 15.38/10.31 inference(quant_inst,[status(thm)],[])).
% 15.38/10.31 tff(97,plain,
% 15.38/10.31 ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23))))) | tptp_fun__LE_(f(z), s(|'0'|)) | (~tptp_fun__LE_(f(suc(z)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(z)))),
% 15.38/10.31 inference(modus_ponens,[status(thm)],[96, 95])).
% 15.38/10.31 tff(98,plain,
% 15.38/10.31 (tptp_fun__LE_(f(z), s(|'0'|)) | (~tptp_fun__LE_(f(suc(z)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(z)))),
% 15.38/10.31 inference(unit_resolution,[status(thm)],[97, 59])).
% 15.38/10.31 tff(99,plain,
% 15.38/10.31 (tptp_fun__E_(s(|'0'|), f(suc(z)))),
% 15.38/10.31 inference(unit_resolution,[status(thm)],[98, 9, 86])).
% 15.38/10.31 tff(100,plain,
% 15.38/10.31 (^[A_1: $i] : refl((iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) <=> (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))))),
% 15.38/10.31 inference(bind,[status(th)],[])).
% 15.38/10.31 tff(101,plain,
% 15.38/10.31 (![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) <=> ![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))),
% 15.38/10.31 inference(quant_intro,[status(thm)],[100])).
% 15.38/10.31 tff(102,plain,
% 15.38/10.31 (![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) <=> ![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))),
% 15.38/10.31 inference(rewrite,[status(thm)],[])).
% 15.38/10.31 tff(103,plain,
% 15.38/10.31 (^[A_1: $i] : trans(monotonicity(rewrite((((~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) <=> (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))), (((((~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1))) <=> ((tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | iLEQ(suc(A_1), suc(A_1))))), rewrite(((tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | iLEQ(suc(A_1), suc(A_1))) <=> (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))), (((((~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1))) <=> (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))))),
% 15.38/10.31 inference(bind,[status(th)],[])).
% 15.38/10.31 tff(104,plain,
% 15.38/10.31 (![A_1: $i] : ((((~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1))) <=> ![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))),
% 15.38/10.31 inference(quant_intro,[status(thm)],[103])).
% 15.38/10.31 tff(105,axiom,(![A_1: $i] : ((((~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_268')).
% 15.38/10.31 tff(106,plain,
% 15.38/10.31 (![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))),
% 15.38/10.31 inference(modus_ponens,[status(thm)],[105, 104])).
% 15.38/10.31 tff(107,plain,
% 15.38/10.31 (![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))),
% 15.38/10.31 inference(modus_ponens,[status(thm)],[106, 102])).
% 15.38/10.31 tff(108,plain,(
% 15.38/10.31 ![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))),
% 15.38/10.31 inference(skolemize,[status(sab)],[107])).
% 15.38/10.31 tff(109,plain,
% 15.38/10.31 (![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))),
% 15.38/10.31 inference(modus_ponens,[status(thm)],[108, 101])).
% 15.38/10.31 tff(110,plain,
% 15.38/10.31 (((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | ((~tptp_fun__E_(s(|'0'|), f(suc(z)))) | iLEQ(suc(z), suc(z)) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(z))))) <=> ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | iLEQ(suc(z), suc(z)) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(z))))),
% 15.38/10.31 inference(rewrite,[status(thm)],[])).
% 15.38/10.31 tff(111,plain,
% 15.38/10.31 ((iLEQ(suc(z), suc(z)) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z)))) <=> ((~tptp_fun__E_(s(|'0'|), f(suc(z)))) | iLEQ(suc(z), suc(z)) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(z))))),
% 15.38/10.31 inference(rewrite,[status(thm)],[])).
% 15.38/10.31 tff(112,plain,
% 15.38/10.31 (((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (iLEQ(suc(z), suc(z)) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))))) <=> ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | ((~tptp_fun__E_(s(|'0'|), f(suc(z)))) | iLEQ(suc(z), suc(z)) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(z)))))),
% 15.38/10.31 inference(monotonicity,[status(thm)],[111])).
% 15.38/10.31 tff(113,plain,
% 15.38/10.31 (((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (iLEQ(suc(z), suc(z)) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))))) <=> ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | iLEQ(suc(z), suc(z)) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(z))))),
% 15.38/10.31 inference(transitivity,[status(thm)],[112, 110])).
% 15.38/10.31 tff(114,plain,
% 15.38/10.31 ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (iLEQ(suc(z), suc(z)) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))))),
% 15.38/10.31 inference(quant_inst,[status(thm)],[])).
% 15.38/10.31 tff(115,plain,
% 15.38/10.31 ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | iLEQ(suc(z), suc(z)) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(z)))),
% 15.38/10.31 inference(modus_ponens,[status(thm)],[114, 113])).
% 15.38/10.31 tff(116,plain,
% 15.38/10.31 ((~tptp_fun__E_(s(|'0'|), f(suc(z)))) | iLEQ(suc(z), suc(z)) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(z)))),
% 15.38/10.31 inference(unit_resolution,[status(thm)],[115, 109])).
% 15.38/10.31 tff(117,plain,
% 15.38/10.31 (iLEQ(suc(z), suc(z))),
% 15.38/10.31 inference(unit_resolution,[status(thm)],[116, 99, 94, 84])).
% 15.38/10.31 tff(118,plain,
% 15.38/10.31 (^[B_25: $i, A_1: $i, B_26: $i, B_24: $i] : refl((tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) <=> (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))),
% 15.38/10.31 inference(bind,[status(th)],[])).
% 15.38/10.31 tff(119,plain,
% 15.38/10.31 (![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) <=> ![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))),
% 15.38/10.31 inference(quant_intro,[status(thm)],[118])).
% 15.38/10.31 tff(120,plain,
% 15.38/10.31 (![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) <=> ![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))),
% 15.38/10.31 inference(rewrite,[status(thm)],[])).
% 15.38/10.31 tff(121,plain,
% 15.38/10.31 (^[B_25: $i, A_1: $i, B_26: $i, B_24: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) <=> ((~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) <=> (((~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))))), rewrite((((~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) <=> ((~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) <=> ((~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), (((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) <=> (((~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))))), rewrite((((~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) <=> ((~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) <=> ((~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), ((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) <=> (((~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))))), rewrite((((~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) <=> ((~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) <=> ((~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), (((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) <=> (((~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25)))))), rewrite((((~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25)))) <=> ((~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) <=> ((~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), ((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) <=> (((~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))))), rewrite((((~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) <=> ((~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) <=> ((~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), (((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) <=> (((~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))))), rewrite((((~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) <=> ((~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) <=> ((~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), ((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~iLEQ(suc(A_1), suc(B_24)))) <=> (((~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~iLEQ(suc(A_1), suc(B_24)))))), rewrite((((~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~iLEQ(suc(A_1), suc(B_24)))) <=> ((~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~iLEQ(suc(A_1), suc(B_24)))) <=> ((~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), (((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) <=> (((~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))))), rewrite((((~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) <=> ((~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) <=> ((~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), ((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26))))) <=> (((~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26))))))), rewrite((((~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26))))) <=> ((~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26))))) <=> ((~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), (((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26))))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) <=> (((~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | tptp_fun__E_(f(A_1), f(suc(A_1)))))), rewrite((((~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) <=> (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26))))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) <=> (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), ((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26))))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | tptp_fun__E_(f(B_24), f(suc(B_24)))) <=> ((tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | tptp_fun__E_(f(B_24), f(suc(B_24)))))), rewrite(((tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | tptp_fun__E_(f(B_24), f(suc(B_24)))) <=> (tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26))))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | tptp_fun__E_(f(B_24), f(suc(B_24)))) <=> (tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), (((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26))))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | tptp_fun__E_(f(B_24), f(suc(B_24)))) | tptp_fun__E_(f(B_25), f(suc(B_25)))) <=> ((tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | tptp_fun__E_(f(B_25), f(suc(B_25)))))), rewrite(((tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | tptp_fun__E_(f(B_25), f(suc(B_25)))) <=> (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26))))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | tptp_fun__E_(f(B_24), f(suc(B_24)))) | tptp_fun__E_(f(B_25), f(suc(B_25)))) <=> (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), ((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26))))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | tptp_fun__E_(f(B_24), f(suc(B_24)))) | tptp_fun__E_(f(B_25), f(suc(B_25)))) | tptp_fun__E_(f(B_26), f(suc(B_26)))) <=> ((tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | tptp_fun__E_(f(B_26), f(suc(B_26)))))), rewrite(((tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | tptp_fun__E_(f(B_26), f(suc(B_26)))) <=> (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26))))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | tptp_fun__E_(f(B_24), f(suc(B_24)))) | tptp_fun__E_(f(B_25), f(suc(B_25)))) | tptp_fun__E_(f(B_26), f(suc(B_26)))) <=> (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))))),
% 15.49/10.32 inference(bind,[status(th)],[])).
% 15.49/10.32 tff(122,plain,
% 15.49/10.32 (![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26))))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | tptp_fun__E_(f(B_24), f(suc(B_24)))) | tptp_fun__E_(f(B_25), f(suc(B_25)))) | tptp_fun__E_(f(B_26), f(suc(B_26)))) <=> ![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))),
% 15.49/10.32 inference(quant_intro,[status(thm)],[121])).
% 15.49/10.32 tff(123,axiom,(![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26))))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | tptp_fun__E_(f(B_24), f(suc(B_24)))) | tptp_fun__E_(f(B_25), f(suc(B_25)))) | tptp_fun__E_(f(B_26), f(suc(B_26))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_371')).
% 15.49/10.32 tff(124,plain,
% 15.49/10.32 (![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))),
% 15.49/10.32 inference(modus_ponens,[status(thm)],[123, 122])).
% 15.49/10.32 tff(125,plain,
% 15.49/10.32 (![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))),
% 15.49/10.32 inference(modus_ponens,[status(thm)],[124, 120])).
% 15.49/10.32 tff(126,plain,(
% 15.49/10.32 ![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))),
% 15.49/10.32 inference(skolemize,[status(sab)],[125])).
% 15.49/10.32 tff(127,plain,
% 15.49/10.32 (![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))),
% 15.49/10.32 inference(modus_ponens,[status(thm)],[126, 119])).
% 15.49/10.32 tff(128,plain,
% 15.49/10.32 (((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | ((~tptp_fun__E_(s(|'0'|), f(suc(z)))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z))))) <=> ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z))))),
% 15.49/10.32 inference(rewrite,[status(thm)],[])).
% 15.49/10.32 tff(129,plain,
% 15.49/10.32 ((tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z)))) <=> ((~tptp_fun__E_(s(|'0'|), f(suc(z)))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z))))),
% 15.49/10.32 inference(rewrite,[status(thm)],[])).
% 15.49/10.32 tff(130,plain,
% 15.49/10.32 (((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z))))) <=> ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | ((~tptp_fun__E_(s(|'0'|), f(suc(z)))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z)))))),
% 15.49/10.32 inference(monotonicity,[status(thm)],[129])).
% 15.49/10.32 tff(131,plain,
% 15.49/10.32 (((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z))))) <=> ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z))))),
% 15.49/10.32 inference(transitivity,[status(thm)],[130, 128])).
% 15.49/10.32 tff(132,plain,
% 15.49/10.32 ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z))))),
% 15.49/10.32 inference(quant_inst,[status(thm)],[])).
% 15.49/10.32 tff(133,plain,
% 15.49/10.32 ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z)))),
% 15.49/10.32 inference(modus_ponens,[status(thm)],[132, 131])).
% 15.49/10.32 tff(134,plain,
% 15.49/10.32 ((~tptp_fun__E_(s(|'0'|), f(suc(z)))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z)))),
% 15.49/10.32 inference(unit_resolution,[status(thm)],[133, 127])).
% 15.49/10.32 tff(135,plain,
% 15.49/10.32 ($false),
% 15.49/10.32 inference(unit_resolution,[status(thm)],[134, 117, 99, 94, 84])).
% 15.49/10.32 tff(136,plain,(tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__LE_(f(z), s(|'0'|))), inference(lemma,lemma(discharge,[]))).
% 15.49/10.32 tff(137,plain,
% 15.49/10.32 (tptp_fun__E_(f(z), f(suc(z)))),
% 15.49/10.32 inference(unit_resolution,[status(thm)],[136, 86])).
% 15.49/10.32 tff(138,plain,
% 15.49/10.32 (((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23)))))) | (tptp_fun__LE_(f(z), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(z))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(z)))))) <=> ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23)))))) | tptp_fun__LE_(f(z), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(z))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(z)))))),
% 15.49/10.32 inference(rewrite,[status(thm)],[])).
% 15.49/10.32 tff(139,plain,
% 15.49/10.32 ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23)))))) | (tptp_fun__LE_(f(z), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(z))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(z)))))),
% 15.49/10.32 inference(quant_inst,[status(thm)],[])).
% 15.49/10.32 tff(140,plain,
% 15.49/10.32 ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23)))))) | tptp_fun__LE_(f(z), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(z))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(z))))),
% 15.49/10.32 inference(modus_ponens,[status(thm)],[139, 138])).
% 15.49/10.32 tff(141,plain,
% 15.49/10.32 (tptp_fun__LE_(f(z), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(z))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(z))))),
% 15.49/10.32 inference(unit_resolution,[status(thm)],[140, 39])).
% 15.49/10.32 tff(142,plain,
% 15.49/10.32 (tptp_fun__LE_(f(z), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(suc(suc(z))))),
% 15.49/10.32 inference(unit_resolution,[status(thm)],[141, 49])).
% 15.49/10.32 tff(143,plain,
% 15.49/10.32 (tptp_fun__E_(s(|'0'|), f(suc(suc(z))))),
% 15.49/10.32 inference(unit_resolution,[status(thm)],[142, 86])).
% 15.49/10.32 tff(144,plain,
% 15.49/10.32 (^[A_1: $i] : refl((iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) <=> (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))))),
% 15.49/10.32 inference(bind,[status(th)],[])).
% 15.49/10.32 tff(145,plain,
% 15.49/10.32 (![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) <=> ![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))),
% 15.49/10.32 inference(quant_intro,[status(thm)],[144])).
% 15.49/10.32 tff(146,plain,
% 15.49/10.32 (![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) <=> ![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))),
% 15.49/10.32 inference(rewrite,[status(thm)],[])).
% 15.49/10.32 tff(147,plain,
% 15.49/10.32 (^[A_1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) <=> ((~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))))), ((((~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) <=> (((~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))))), rewrite((((~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) <=> ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))))), ((((~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) <=> ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))))), (((((~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) <=> (((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))))), rewrite((((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) <=> ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))), (((((~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) <=> ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))))), ((((((~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | iLEQ(suc(A_1), suc(A_1))) <=> (((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | iLEQ(suc(A_1), suc(A_1))))), rewrite((((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | iLEQ(suc(A_1), suc(A_1))) <=> (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))), ((((((~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | iLEQ(suc(A_1), suc(A_1))) <=> (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))))),
% 15.49/10.32 inference(bind,[status(th)],[])).
% 15.49/10.32 tff(148,plain,
% 15.49/10.32 (![A_1: $i] : (((((~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | iLEQ(suc(A_1), suc(A_1))) <=> ![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))),
% 15.49/10.32 inference(quant_intro,[status(thm)],[147])).
% 15.49/10.32 tff(149,axiom,(![A_1: $i] : (((((~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | iLEQ(suc(A_1), suc(A_1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_55')).
% 15.49/10.32 tff(150,plain,
% 15.49/10.32 (![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))),
% 15.49/10.32 inference(modus_ponens,[status(thm)],[149, 148])).
% 15.49/10.32 tff(151,plain,
% 15.49/10.32 (![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))),
% 15.49/10.32 inference(modus_ponens,[status(thm)],[150, 146])).
% 15.49/10.32 tff(152,plain,(
% 15.49/10.32 ![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))),
% 15.49/10.32 inference(skolemize,[status(sab)],[151])).
% 15.49/10.32 tff(153,plain,
% 15.49/10.32 (![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))),
% 15.49/10.32 inference(modus_ponens,[status(thm)],[152, 145])).
% 15.49/10.32 tff(154,plain,
% 15.49/10.32 (((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | ((~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))))) <=> ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))))),
% 15.49/10.32 inference(rewrite,[status(thm)],[])).
% 15.49/10.32 tff(155,plain,
% 15.49/10.32 ((iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z)))) <=> ((~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))))),
% 15.49/10.32 inference(rewrite,[status(thm)],[])).
% 15.49/10.32 tff(156,plain,
% 15.49/10.32 (((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))))) <=> ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | ((~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z)))))),
% 15.49/10.32 inference(monotonicity,[status(thm)],[155])).
% 15.49/10.32 tff(157,plain,
% 15.49/10.32 (((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))))) <=> ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))))),
% 15.49/10.32 inference(transitivity,[status(thm)],[156, 154])).
% 15.49/10.32 tff(158,plain,
% 15.49/10.32 ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))))),
% 15.49/10.32 inference(quant_inst,[status(thm)],[])).
% 15.49/10.32 tff(159,plain,
% 15.49/10.32 ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z)))),
% 15.49/10.32 inference(modus_ponens,[status(thm)],[158, 157])).
% 15.49/10.32 tff(160,plain,
% 15.49/10.32 ((~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z)))),
% 15.49/10.32 inference(unit_resolution,[status(thm)],[159, 153])).
% 15.49/10.32 tff(161,plain,
% 15.49/10.32 (iLEQ(suc(z), suc(z))),
% 15.49/10.32 inference(unit_resolution,[status(thm)],[160, 99, 94, 143, 137])).
% 15.49/10.32 tff(162,plain,
% 15.49/10.32 (^[B_25: $i, A_1: $i, B_26: $i, B_24: $i] : refl(((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) <=> ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))),
% 15.49/10.32 inference(bind,[status(th)],[])).
% 15.49/10.32 tff(163,plain,
% 15.49/10.32 (![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) <=> ![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))),
% 15.49/10.32 inference(quant_intro,[status(thm)],[162])).
% 15.49/10.32 tff(164,plain,
% 15.49/10.32 (![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) <=> ![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))),
% 15.49/10.32 inference(rewrite,[status(thm)],[])).
% 15.49/10.32 tff(165,plain,
% 15.49/10.32 (^[B_25: $i, A_1: $i, B_26: $i, B_24: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) <=> ((~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) <=> (((~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))))), rewrite((((~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) <=> ((~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) <=> ((~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), (((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) <=> (((~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))))), rewrite((((~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) <=> ((~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) <=> ((~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), ((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) <=> (((~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))))), rewrite((((~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) <=> ((~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) <=> ((~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), (((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) <=> (((~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))))), rewrite((((~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) <=> ((~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) <=> ((~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), ((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) <=> (((~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25)))))), rewrite((((~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25)))) <=> ((~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) <=> ((~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), (((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) <=> (((~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))))), rewrite((((~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), ((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), (((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), ((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), (((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26)))))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26)))))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26)))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26)))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), ((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26)))))) | (~iLEQ(suc(A_1), suc(B_24)))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~iLEQ(suc(A_1), suc(B_24)))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~iLEQ(suc(A_1), suc(B_24)))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26)))))) | (~iLEQ(suc(A_1), suc(B_24)))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), (((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26)))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25)))))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25)))))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25)))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26)))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25)))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), ((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26)))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25)))))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26)))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25)))))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), (((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26)))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25)))))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) <=> ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26)))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25)))))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) <=> ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), ((((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26)))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25)))))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) <=> (((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))))), rewrite((((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) <=> ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26)))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25)))))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) <=> ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), (((((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26)))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25)))))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26))))) <=> (((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26))))))), rewrite((((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26))))) <=> ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26)))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25)))))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26))))) <=> ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))))), ((((((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26)))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25)))))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24)))))) <=> (((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24)))))))), rewrite((((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24)))))) <=> ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26)))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25)))))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24)))))) <=> ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))))),
% 15.49/10.33 inference(bind,[status(th)],[])).
% 15.49/10.33 tff(166,plain,
% 15.49/10.33 (![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (((((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26)))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25)))))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24)))))) <=> ![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))),
% 15.49/10.34 inference(quant_intro,[status(thm)],[165])).
% 15.49/10.34 tff(167,axiom,(![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (((((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(s(|'0'|), f(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26)))))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25)))))) | (~tptp_fun__E_(s(|'0'|), f(B_25)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_12')).
% 15.49/10.34 tff(168,plain,
% 15.49/10.34 (![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))),
% 15.49/10.34 inference(modus_ponens,[status(thm)],[167, 166])).
% 15.49/10.34 tff(169,plain,
% 15.49/10.34 (![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))),
% 15.49/10.34 inference(modus_ponens,[status(thm)],[168, 164])).
% 15.49/10.34 tff(170,plain,(
% 15.49/10.34 ![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))),
% 15.49/10.34 inference(skolemize,[status(sab)],[169])).
% 15.49/10.34 tff(171,plain,
% 15.49/10.34 (![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))),
% 15.49/10.34 inference(modus_ponens,[status(thm)],[170, 163])).
% 15.49/10.34 tff(172,plain,
% 15.49/10.34 (((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | ((~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z))))) <=> ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z))))),
% 15.49/10.34 inference(rewrite,[status(thm)],[])).
% 15.49/10.34 tff(173,plain,
% 15.49/10.34 (((~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z)))) <=> ((~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z))))),
% 15.49/10.34 inference(rewrite,[status(thm)],[])).
% 15.49/10.34 tff(174,plain,
% 15.49/10.34 (((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | ((~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z))))) <=> ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | ((~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z)))))),
% 15.49/10.34 inference(monotonicity,[status(thm)],[173])).
% 15.49/10.34 tff(175,plain,
% 15.49/10.34 (((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | ((~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z))))) <=> ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z))))),
% 15.49/10.34 inference(transitivity,[status(thm)],[174, 172])).
% 15.49/10.34 tff(176,plain,
% 15.49/10.34 ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | ((~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z))))),
% 15.49/10.34 inference(quant_inst,[status(thm)],[])).
% 15.49/10.34 tff(177,plain,
% 15.49/10.34 ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z)))),
% 15.49/10.34 inference(modus_ponens,[status(thm)],[176, 175])).
% 15.49/10.34 tff(178,plain,
% 15.49/10.34 ((~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~iLEQ(suc(z), suc(z)))),
% 15.49/10.34 inference(unit_resolution,[status(thm)],[177, 171])).
% 15.49/10.34 tff(179,plain,
% 15.49/10.34 ($false),
% 15.49/10.34 inference(unit_resolution,[status(thm)],[178, 161, 99, 94, 143, 137])).
% 15.49/10.34 tff(180,plain,(tptp_fun__LE_(f(z), s(|'0'|))), inference(lemma,lemma(discharge,[]))).
% 15.49/10.34 tff(181,plain,
% 15.49/10.34 (^[B_35: $i] : refl((tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(B_35), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_35))) <=> (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(B_35), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_35))))),
% 15.49/10.34 inference(bind,[status(th)],[])).
% 15.49/10.34 tff(182,plain,
% 15.49/10.34 (![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(B_35), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_35))) <=> ![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(B_35), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_35)))),
% 15.49/10.34 inference(quant_intro,[status(thm)],[181])).
% 15.49/10.34 tff(183,plain,
% 15.49/10.34 (![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(B_35), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_35))) <=> ![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(B_35), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_35)))),
% 15.49/10.34 inference(rewrite,[status(thm)],[])).
% 15.49/10.34 tff(184,plain,
% 15.49/10.34 (^[B_35: $i] : rewrite((((~tptp_fun__LE_(f(B_35), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_35))) | tptp_fun__LE_(f(B_35), |'0'|)) <=> (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(B_35), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_35))))),
% 15.49/10.34 inference(bind,[status(th)],[])).
% 15.49/10.34 tff(185,plain,
% 15.49/10.34 (![B_35: $i] : (((~tptp_fun__LE_(f(B_35), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_35))) | tptp_fun__LE_(f(B_35), |'0'|)) <=> ![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(B_35), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_35)))),
% 15.49/10.34 inference(quant_intro,[status(thm)],[184])).
% 15.49/10.34 tff(186,axiom,(![B_35: $i] : (((~tptp_fun__LE_(f(B_35), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_35))) | tptp_fun__LE_(f(B_35), |'0'|))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_458')).
% 15.49/10.34 tff(187,plain,
% 15.49/10.34 (![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(B_35), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_35)))),
% 15.49/10.34 inference(modus_ponens,[status(thm)],[186, 185])).
% 15.49/10.34 tff(188,plain,
% 15.49/10.34 (![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(B_35), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_35)))),
% 15.49/10.34 inference(modus_ponens,[status(thm)],[187, 183])).
% 15.49/10.34 tff(189,plain,(
% 15.49/10.34 ![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(B_35), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_35)))),
% 15.49/10.34 inference(skolemize,[status(sab)],[188])).
% 15.49/10.34 tff(190,plain,
% 15.49/10.34 (![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(B_35), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_35)))),
% 15.49/10.34 inference(modus_ponens,[status(thm)],[189, 182])).
% 15.49/10.34 tff(191,plain,
% 15.49/10.34 (((~![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(B_35), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_35)))) | (tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(z), s(|'0'|))) | tptp_fun__E_(|'0'|, f(z)))) <=> ((~![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(B_35), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_35)))) | tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(z), s(|'0'|))) | tptp_fun__E_(|'0'|, f(z)))),
% 15.49/10.34 inference(rewrite,[status(thm)],[])).
% 15.49/10.34 tff(192,plain,
% 15.49/10.34 ((~![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(B_35), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_35)))) | (tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(z), s(|'0'|))) | tptp_fun__E_(|'0'|, f(z)))),
% 15.49/10.34 inference(quant_inst,[status(thm)],[])).
% 15.49/10.34 tff(193,plain,
% 15.49/10.34 ((~![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | (~tptp_fun__LE_(f(B_35), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_35)))) | tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(z), s(|'0'|))) | tptp_fun__E_(|'0'|, f(z))),
% 15.49/10.34 inference(modus_ponens,[status(thm)],[192, 191])).
% 15.49/10.34 tff(194,plain,
% 15.49/10.34 ((~tptp_fun__LE_(f(z), s(|'0'|))) | tptp_fun__E_(|'0'|, f(z))),
% 15.49/10.34 inference(unit_resolution,[status(thm)],[193, 190, 68])).
% 15.49/10.34 tff(195,plain,
% 15.49/10.34 (tptp_fun__E_(|'0'|, f(z))),
% 15.49/10.34 inference(unit_resolution,[status(thm)],[194, 180])).
% 15.49/10.34 tff(196,plain,
% 15.49/10.34 (^[A_2: $i] : refl((iLEQ(suc(A_2), suc(A_2)) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) <=> (iLEQ(suc(A_2), suc(A_2)) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(A_2)))))),
% 15.49/10.34 inference(bind,[status(th)],[])).
% 15.49/10.34 tff(197,plain,
% 15.49/10.34 (![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) <=> ![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(A_2))))),
% 15.49/10.34 inference(quant_intro,[status(thm)],[196])).
% 15.49/10.34 tff(198,plain,
% 15.49/10.34 (![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) <=> ![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(A_2))))),
% 15.49/10.34 inference(rewrite,[status(thm)],[])).
% 15.49/10.34 tff(199,plain,
% 15.49/10.34 (^[A_2: $i] : trans(monotonicity(rewrite((((~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | tptp_fun__E_(f(A_2), f(suc(A_2)))) <=> (tptp_fun__E_(f(A_2), f(suc(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(A_2))))), (((((~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | tptp_fun__E_(f(A_2), f(suc(A_2)))) | iLEQ(suc(A_2), suc(A_2))) <=> ((tptp_fun__E_(f(A_2), f(suc(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | iLEQ(suc(A_2), suc(A_2))))), rewrite(((tptp_fun__E_(f(A_2), f(suc(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | iLEQ(suc(A_2), suc(A_2))) <=> (iLEQ(suc(A_2), suc(A_2)) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(A_2))))), (((((~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | tptp_fun__E_(f(A_2), f(suc(A_2)))) | iLEQ(suc(A_2), suc(A_2))) <=> (iLEQ(suc(A_2), suc(A_2)) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(A_2))))))),
% 15.49/10.34 inference(bind,[status(th)],[])).
% 15.49/10.34 tff(200,plain,
% 15.49/10.34 (![A_2: $i] : ((((~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | tptp_fun__E_(f(A_2), f(suc(A_2)))) | iLEQ(suc(A_2), suc(A_2))) <=> ![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(A_2))))),
% 15.49/10.34 inference(quant_intro,[status(thm)],[199])).
% 15.49/10.34 tff(201,axiom,(![A_2: $i] : ((((~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | tptp_fun__E_(f(A_2), f(suc(A_2)))) | iLEQ(suc(A_2), suc(A_2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_324')).
% 15.49/10.34 tff(202,plain,
% 15.49/10.34 (![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(A_2))))),
% 15.49/10.34 inference(modus_ponens,[status(thm)],[201, 200])).
% 15.49/10.34 tff(203,plain,
% 15.49/10.34 (![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(A_2))))),
% 15.49/10.34 inference(modus_ponens,[status(thm)],[202, 198])).
% 15.49/10.34 tff(204,plain,(
% 15.49/10.34 ![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(A_2))))),
% 15.49/10.34 inference(skolemize,[status(sab)],[203])).
% 15.49/10.34 tff(205,plain,
% 15.49/10.34 (![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(A_2))))),
% 15.49/10.34 inference(modus_ponens,[status(thm)],[204, 197])).
% 15.49/10.34 tff(206,plain,
% 15.49/10.34 (((~![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(A_2))))) | (iLEQ(suc(z), suc(z)) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))))) <=> ((~![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(A_2))))) | 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))))),
% 15.49/10.34 inference(rewrite,[status(thm)],[])).
% 15.49/10.34 tff(207,plain,
% 15.49/10.34 ((~![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(A_2))))) | (iLEQ(suc(z), suc(z)) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))))),
% 15.49/10.34 inference(quant_inst,[status(thm)],[])).
% 15.49/10.34 tff(208,plain,
% 15.49/10.34 ((~![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(A_2))))) | iLEQ(suc(z), suc(z)) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z)))),
% 15.49/10.34 inference(modus_ponens,[status(thm)],[207, 206])).
% 15.49/10.34 tff(209,plain,
% 15.49/10.34 (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)))),
% 15.49/10.34 inference(unit_resolution,[status(thm)],[208, 205])).
% 15.49/10.34 tff(210,plain,
% 15.49/10.34 (iLEQ(suc(z), suc(z)) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z))))),
% 15.49/10.34 inference(unit_resolution,[status(thm)],[209, 195])).
% 15.49/10.34 tff(211,plain,
% 15.49/10.34 (iLEQ(suc(z), suc(z))),
% 15.49/10.34 inference(unit_resolution,[status(thm)],[210, 85, 84])).
% 15.49/10.34 tff(212,plain,
% 15.49/10.34 (^[B_38: $i, B_37: $i, A_2: $i, B_36: $i] : refl((tptp_fun__E_(f(B_38), f(suc(B_38))) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) <=> (tptp_fun__E_(f(B_38), f(suc(B_38))) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))))),
% 15.49/10.34 inference(bind,[status(th)],[])).
% 15.49/10.34 tff(213,plain,
% 15.49/10.34 (![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : (tptp_fun__E_(f(B_38), f(suc(B_38))) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) <=> ![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : (tptp_fun__E_(f(B_38), f(suc(B_38))) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))),
% 15.49/10.34 inference(quant_intro,[status(thm)],[212])).
% 15.49/10.34 tff(214,plain,
% 15.49/10.34 (![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : (tptp_fun__E_(f(B_38), f(suc(B_38))) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) <=> ![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : (tptp_fun__E_(f(B_38), f(suc(B_38))) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))),
% 15.49/10.34 inference(rewrite,[status(thm)],[])).
% 15.49/10.34 tff(215,plain,
% 15.49/10.34 (^[B_38: $i, B_37: $i, A_2: $i, B_36: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) <=> ((~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))), ((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) <=> (((~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2)))))), rewrite((((~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) <=> ((~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))), ((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) <=> ((~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))))), (((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) <=> (((~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~iLEQ(suc(B_37), suc(B_38)))))), rewrite((((~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~iLEQ(suc(B_37), suc(B_38)))) <=> ((~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))), (((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) <=> ((~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))))), ((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) <=> (((~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))))), rewrite((((~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))), ((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))))), (((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) <=> (((~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~iLEQ(suc(A_2), suc(B_36)))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~iLEQ(suc(A_2), suc(B_36)))) <=> ((~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))), (((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) <=> ((~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))))), ((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) <=> (((~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))))), rewrite((((~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))), ((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))))), (((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) <=> (((~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(B_37)))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) <=> ((~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))), (((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) <=> ((~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))))), ((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) <=> (((~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))))), rewrite((((~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))), ((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))))), (((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_38)))) <=> (((~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(B_38)))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(B_38)))) <=> ((~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))), (((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_38)))) <=> ((~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))))), ((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_38)))) | (~iLEQ(suc(B_36), suc(B_37)))) <=> (((~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~iLEQ(suc(B_36), suc(B_37)))))), rewrite((((~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~iLEQ(suc(B_36), suc(B_37)))) <=> ((~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))), ((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_38)))) | (~iLEQ(suc(B_36), suc(B_37)))) <=> ((~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))))), (((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_38)))) | (~iLEQ(suc(B_36), suc(B_37)))) | tptp_fun__E_(f(A_2), f(suc(A_2)))) <=> (((~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | tptp_fun__E_(f(A_2), f(suc(A_2)))))), rewrite((((~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | tptp_fun__E_(f(A_2), f(suc(A_2)))) <=> (tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))), (((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_38)))) | (~iLEQ(suc(B_36), suc(B_37)))) | tptp_fun__E_(f(A_2), f(suc(A_2)))) <=> (tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))))), ((((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_38)))) | (~iLEQ(suc(B_36), suc(B_37)))) | tptp_fun__E_(f(A_2), f(suc(A_2)))) | tptp_fun__E_(f(B_36), f(suc(B_36)))) <=> ((tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | tptp_fun__E_(f(B_36), f(suc(B_36)))))), rewrite(((tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | tptp_fun__E_(f(B_36), f(suc(B_36)))) <=> (tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))), ((((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_38)))) | (~iLEQ(suc(B_36), suc(B_37)))) | tptp_fun__E_(f(A_2), f(suc(A_2)))) | tptp_fun__E_(f(B_36), f(suc(B_36)))) <=> (tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))))), (((((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_38)))) | (~iLEQ(suc(B_36), suc(B_37)))) | tptp_fun__E_(f(A_2), f(suc(A_2)))) | tptp_fun__E_(f(B_36), f(suc(B_36)))) | tptp_fun__E_(f(B_37), f(suc(B_37)))) <=> ((tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | tptp_fun__E_(f(B_37), f(suc(B_37)))))), rewrite(((tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | tptp_fun__E_(f(B_37), f(suc(B_37)))) <=> (tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))), (((((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_38)))) | (~iLEQ(suc(B_36), suc(B_37)))) | tptp_fun__E_(f(A_2), f(suc(A_2)))) | tptp_fun__E_(f(B_36), f(suc(B_36)))) | tptp_fun__E_(f(B_37), f(suc(B_37)))) <=> (tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))))), ((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_38)))) | (~iLEQ(suc(B_36), suc(B_37)))) | tptp_fun__E_(f(A_2), f(suc(A_2)))) | tptp_fun__E_(f(B_36), f(suc(B_36)))) | tptp_fun__E_(f(B_37), f(suc(B_37)))) | tptp_fun__E_(f(B_38), f(suc(B_38)))) <=> ((tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | tptp_fun__E_(f(B_38), f(suc(B_38)))))), rewrite(((tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | tptp_fun__E_(f(B_38), f(suc(B_38)))) <=> (tptp_fun__E_(f(B_38), f(suc(B_38))) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))), ((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_38)))) | (~iLEQ(suc(B_36), suc(B_37)))) | tptp_fun__E_(f(A_2), f(suc(A_2)))) | tptp_fun__E_(f(B_36), f(suc(B_36)))) | tptp_fun__E_(f(B_37), f(suc(B_37)))) | tptp_fun__E_(f(B_38), f(suc(B_38)))) <=> (tptp_fun__E_(f(B_38), f(suc(B_38))) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))))),
% 15.49/10.35 inference(bind,[status(th)],[])).
% 15.49/10.35 tff(216,plain,
% 15.49/10.35 (![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : (((((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_38)))) | (~iLEQ(suc(B_36), suc(B_37)))) | tptp_fun__E_(f(A_2), f(suc(A_2)))) | tptp_fun__E_(f(B_36), f(suc(B_36)))) | tptp_fun__E_(f(B_37), f(suc(B_37)))) | tptp_fun__E_(f(B_38), f(suc(B_38)))) <=> ![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : (tptp_fun__E_(f(B_38), f(suc(B_38))) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))),
% 15.49/10.35 inference(quant_intro,[status(thm)],[215])).
% 15.49/10.35 tff(217,axiom,(![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : (((((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_38)))) | (~iLEQ(suc(B_36), suc(B_37)))) | tptp_fun__E_(f(A_2), f(suc(A_2)))) | tptp_fun__E_(f(B_36), f(suc(B_36)))) | tptp_fun__E_(f(B_37), f(suc(B_37)))) | tptp_fun__E_(f(B_38), f(suc(B_38))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_325')).
% 15.49/10.35 tff(218,plain,
% 15.49/10.35 (![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : (tptp_fun__E_(f(B_38), f(suc(B_38))) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))),
% 15.49/10.35 inference(modus_ponens,[status(thm)],[217, 216])).
% 15.49/10.35 tff(219,plain,
% 15.49/10.35 (![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : (tptp_fun__E_(f(B_38), f(suc(B_38))) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))),
% 15.49/10.35 inference(modus_ponens,[status(thm)],[218, 214])).
% 15.49/10.35 tff(220,plain,(
% 15.49/10.35 ![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : (tptp_fun__E_(f(B_38), f(suc(B_38))) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))),
% 15.49/10.35 inference(skolemize,[status(sab)],[219])).
% 15.49/10.35 tff(221,plain,
% 15.49/10.35 (![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : (tptp_fun__E_(f(B_38), f(suc(B_38))) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))),
% 15.49/10.35 inference(modus_ponens,[status(thm)],[220, 213])).
% 15.49/10.35 tff(222,plain,
% 15.49/10.35 (((~![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : (tptp_fun__E_(f(B_38), f(suc(B_38))) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))) | (tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))))) <=> ((~![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : (tptp_fun__E_(f(B_38), f(suc(B_38))) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))))),
% 15.49/10.35 inference(rewrite,[status(thm)],[])).
% 15.49/10.35 tff(223,plain,
% 15.49/10.35 ((tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | tptp_fun__E_(f(z), f(suc(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z))))) <=> (tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))))),
% 15.49/10.35 inference(rewrite,[status(thm)],[])).
% 15.49/10.35 tff(224,plain,
% 15.49/10.35 (((~![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : (tptp_fun__E_(f(B_38), f(suc(B_38))) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))) | (tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | tptp_fun__E_(f(z), f(suc(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))))) <=> ((~![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : (tptp_fun__E_(f(B_38), f(suc(B_38))) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))) | (tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z)))))),
% 15.49/10.35 inference(monotonicity,[status(thm)],[223])).
% 15.49/10.35 tff(225,plain,
% 15.49/10.35 (((~![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : (tptp_fun__E_(f(B_38), f(suc(B_38))) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))) | (tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | tptp_fun__E_(f(z), f(suc(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))))) <=> ((~![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : (tptp_fun__E_(f(B_38), f(suc(B_38))) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))))),
% 15.49/10.35 inference(transitivity,[status(thm)],[224, 222])).
% 15.49/10.35 tff(226,plain,
% 15.49/10.35 ((~![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : (tptp_fun__E_(f(B_38), f(suc(B_38))) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))) | (tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | tptp_fun__E_(f(z), f(suc(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))))),
% 15.49/10.35 inference(quant_inst,[status(thm)],[])).
% 15.49/10.35 tff(227,plain,
% 15.49/10.35 ((~![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : (tptp_fun__E_(f(B_38), f(suc(B_38))) | tptp_fun__E_(f(A_2), f(suc(A_2))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | tptp_fun__E_(f(B_37), f(suc(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | tptp_fun__E_(f(B_36), f(suc(B_36))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z)))),
% 15.49/10.35 inference(modus_ponens,[status(thm)],[226, 225])).
% 15.49/10.35 tff(228,plain,
% 15.49/10.35 (tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z)))),
% 15.49/10.35 inference(unit_resolution,[status(thm)],[227, 221, 195])).
% 15.49/10.35 tff(229,plain,
% 15.49/10.35 ($false),
% 15.49/10.35 inference(unit_resolution,[status(thm)],[228, 211, 85, 84])).
% 15.49/10.35 tff(230,plain,((~tptp_fun__E_(|'0'|, f(suc(z)))) | tptp_fun__E_(f(z), f(suc(z)))), inference(lemma,lemma(discharge,[]))).
% 15.49/10.35 tff(231,plain,
% 15.49/10.35 (tptp_fun__E_(f(z), f(suc(z)))),
% 15.49/10.35 inference(unit_resolution,[status(thm)],[230, 83])).
% 15.49/10.35 tff(232,plain,
% 15.49/10.35 (((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23)))) | (tptp_fun__LE_(f(suc(suc(z))), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(z))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(z)))))) <=> ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23)))) | tptp_fun__LE_(f(suc(suc(z))), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(z))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(z)))))),
% 15.49/10.35 inference(rewrite,[status(thm)],[])).
% 15.49/10.35 tff(233,plain,
% 15.49/10.35 ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23)))) | (tptp_fun__LE_(f(suc(suc(z))), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(z))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(z)))))),
% 15.49/10.35 inference(quant_inst,[status(thm)],[])).
% 15.49/10.35 tff(234,plain,
% 15.49/10.35 ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(B_23), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_23)))) | tptp_fun__LE_(f(suc(suc(z))), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(z))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(z))))),
% 15.49/10.35 inference(modus_ponens,[status(thm)],[233, 232])).
% 15.49/10.35 tff(235,plain,
% 15.49/10.35 (tptp_fun__LE_(f(suc(suc(z))), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(suc(suc(z))))),
% 15.49/10.35 inference(unit_resolution,[status(thm)],[234, 20, 49])).
% 15.49/10.35 tff(236,plain,
% 15.49/10.35 (tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))),
% 15.49/10.35 inference(unit_resolution,[status(thm)],[235, 45])).
% 15.49/10.35 tff(237,plain,
% 15.49/10.35 (^[B_35: $i] : refl((tptp_fun__LE_(f(B_35), |'0'|) | tptp_fun__E_(|'0'|, f(suc(suc(B_35)))) | (~tptp_fun__LE_(f(suc(suc(B_35))), s(|'0'|)))) <=> (tptp_fun__LE_(f(B_35), |'0'|) | tptp_fun__E_(|'0'|, f(suc(suc(B_35)))) | (~tptp_fun__LE_(f(suc(suc(B_35))), s(|'0'|)))))),
% 15.49/10.35 inference(bind,[status(th)],[])).
% 15.49/10.35 tff(238,plain,
% 15.49/10.35 (![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | tptp_fun__E_(|'0'|, f(suc(suc(B_35)))) | (~tptp_fun__LE_(f(suc(suc(B_35))), s(|'0'|)))) <=> ![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | tptp_fun__E_(|'0'|, f(suc(suc(B_35)))) | (~tptp_fun__LE_(f(suc(suc(B_35))), s(|'0'|))))),
% 15.49/10.35 inference(quant_intro,[status(thm)],[237])).
% 15.49/10.35 tff(239,plain,
% 15.49/10.35 (![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | tptp_fun__E_(|'0'|, f(suc(suc(B_35)))) | (~tptp_fun__LE_(f(suc(suc(B_35))), s(|'0'|)))) <=> ![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | tptp_fun__E_(|'0'|, f(suc(suc(B_35)))) | (~tptp_fun__LE_(f(suc(suc(B_35))), s(|'0'|))))),
% 15.49/10.35 inference(rewrite,[status(thm)],[])).
% 15.49/10.35 tff(240,plain,
% 15.49/10.35 (^[B_35: $i] : rewrite((((~tptp_fun__LE_(f(suc(suc(B_35))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_35))))) | tptp_fun__LE_(f(B_35), |'0'|)) <=> (tptp_fun__LE_(f(B_35), |'0'|) | tptp_fun__E_(|'0'|, f(suc(suc(B_35)))) | (~tptp_fun__LE_(f(suc(suc(B_35))), s(|'0'|)))))),
% 15.49/10.35 inference(bind,[status(th)],[])).
% 15.49/10.35 tff(241,plain,
% 15.49/10.35 (![B_35: $i] : (((~tptp_fun__LE_(f(suc(suc(B_35))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_35))))) | tptp_fun__LE_(f(B_35), |'0'|)) <=> ![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | tptp_fun__E_(|'0'|, f(suc(suc(B_35)))) | (~tptp_fun__LE_(f(suc(suc(B_35))), s(|'0'|))))),
% 15.49/10.35 inference(quant_intro,[status(thm)],[240])).
% 15.49/10.35 tff(242,axiom,(![B_35: $i] : (((~tptp_fun__LE_(f(suc(suc(B_35))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_35))))) | tptp_fun__LE_(f(B_35), |'0'|))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_93')).
% 15.49/10.35 tff(243,plain,
% 15.49/10.35 (![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | tptp_fun__E_(|'0'|, f(suc(suc(B_35)))) | (~tptp_fun__LE_(f(suc(suc(B_35))), s(|'0'|))))),
% 15.49/10.35 inference(modus_ponens,[status(thm)],[242, 241])).
% 15.49/10.35 tff(244,plain,
% 15.49/10.35 (![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | tptp_fun__E_(|'0'|, f(suc(suc(B_35)))) | (~tptp_fun__LE_(f(suc(suc(B_35))), s(|'0'|))))),
% 15.49/10.35 inference(modus_ponens,[status(thm)],[243, 239])).
% 15.49/10.35 tff(245,plain,(
% 15.49/10.35 ![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | tptp_fun__E_(|'0'|, f(suc(suc(B_35)))) | (~tptp_fun__LE_(f(suc(suc(B_35))), s(|'0'|))))),
% 15.49/10.35 inference(skolemize,[status(sab)],[244])).
% 15.49/10.35 tff(246,plain,
% 15.49/10.35 (![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | tptp_fun__E_(|'0'|, f(suc(suc(B_35)))) | (~tptp_fun__LE_(f(suc(suc(B_35))), s(|'0'|))))),
% 15.49/10.35 inference(modus_ponens,[status(thm)],[245, 238])).
% 15.49/10.35 tff(247,plain,
% 15.49/10.35 (((~![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | tptp_fun__E_(|'0'|, f(suc(suc(B_35)))) | (~tptp_fun__LE_(f(suc(suc(B_35))), s(|'0'|))))) | (tptp_fun__LE_(f(z), |'0'|) | tptp_fun__E_(|'0'|, f(suc(suc(z)))) | (~tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))))) <=> ((~![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | tptp_fun__E_(|'0'|, f(suc(suc(B_35)))) | (~tptp_fun__LE_(f(suc(suc(B_35))), s(|'0'|))))) | tptp_fun__LE_(f(z), |'0'|) | tptp_fun__E_(|'0'|, f(suc(suc(z)))) | (~tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))))),
% 15.49/10.35 inference(rewrite,[status(thm)],[])).
% 15.49/10.35 tff(248,plain,
% 15.49/10.35 ((~![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | tptp_fun__E_(|'0'|, f(suc(suc(B_35)))) | (~tptp_fun__LE_(f(suc(suc(B_35))), s(|'0'|))))) | (tptp_fun__LE_(f(z), |'0'|) | tptp_fun__E_(|'0'|, f(suc(suc(z)))) | (~tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))))),
% 15.49/10.35 inference(quant_inst,[status(thm)],[])).
% 15.49/10.35 tff(249,plain,
% 15.49/10.35 ((~![B_35: $i] : (tptp_fun__LE_(f(B_35), |'0'|) | tptp_fun__E_(|'0'|, f(suc(suc(B_35)))) | (~tptp_fun__LE_(f(suc(suc(B_35))), s(|'0'|))))) | tptp_fun__LE_(f(z), |'0'|) | tptp_fun__E_(|'0'|, f(suc(suc(z)))) | (~tptp_fun__LE_(f(suc(suc(z))), s(|'0'|)))),
% 15.49/10.35 inference(modus_ponens,[status(thm)],[248, 247])).
% 15.49/10.35 tff(250,plain,
% 15.49/10.35 (tptp_fun__E_(|'0'|, f(suc(suc(z)))) | (~tptp_fun__LE_(f(suc(suc(z))), s(|'0'|)))),
% 15.49/10.35 inference(unit_resolution,[status(thm)],[249, 68, 246])).
% 15.49/10.35 tff(251,plain,
% 15.49/10.35 (tptp_fun__E_(|'0'|, f(suc(suc(z))))),
% 15.49/10.35 inference(unit_resolution,[status(thm)],[250, 236])).
% 15.49/10.35 tff(252,plain,
% 15.49/10.35 (^[A_2: $i] : refl((iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) <=> (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2)))))),
% 15.49/10.35 inference(bind,[status(th)],[])).
% 15.49/10.35 tff(253,plain,
% 15.49/10.35 (![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) <=> ![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2))))),
% 15.49/10.35 inference(quant_intro,[status(thm)],[252])).
% 15.49/10.35 tff(254,plain,
% 15.49/10.35 (![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) <=> ![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2))))),
% 15.49/10.35 inference(rewrite,[status(thm)],[])).
% 15.49/10.35 tff(255,plain,
% 15.49/10.35 (^[A_2: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))), ((((~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(f(A_2), f(suc(A_2))))) <=> (((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(f(A_2), f(suc(A_2))))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(f(A_2), f(suc(A_2))))) <=> ((~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))), ((((~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(f(A_2), f(suc(A_2))))) <=> ((~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))))), (((((~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(f(A_2), f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) <=> (((~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))))), rewrite((((~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) <=> ((~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2))))), (((((~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(f(A_2), f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) <=> ((~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2)))))), ((((((~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(f(A_2), f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | iLEQ(suc(A_2), suc(A_2))) <=> (((~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | iLEQ(suc(A_2), suc(A_2))))), rewrite((((~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | iLEQ(suc(A_2), suc(A_2))) <=> (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2))))), ((((((~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(f(A_2), f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | iLEQ(suc(A_2), suc(A_2))) <=> (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2))))))),
% 15.49/10.36 inference(bind,[status(th)],[])).
% 15.49/10.36 tff(256,plain,
% 15.49/10.36 (![A_2: $i] : (((((~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(f(A_2), f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | iLEQ(suc(A_2), suc(A_2))) <=> ![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2))))),
% 15.49/10.36 inference(quant_intro,[status(thm)],[255])).
% 15.49/10.36 tff(257,axiom,(![A_2: $i] : (((((~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(f(A_2), f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | iLEQ(suc(A_2), suc(A_2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_448')).
% 15.49/10.36 tff(258,plain,
% 15.49/10.36 (![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2))))),
% 15.49/10.36 inference(modus_ponens,[status(thm)],[257, 256])).
% 15.49/10.36 tff(259,plain,
% 15.49/10.36 (![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2))))),
% 15.49/10.36 inference(modus_ponens,[status(thm)],[258, 254])).
% 15.49/10.36 tff(260,plain,(
% 15.49/10.36 ![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2))))),
% 15.49/10.36 inference(skolemize,[status(sab)],[259])).
% 15.49/10.36 tff(261,plain,
% 15.49/10.36 (![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2))))),
% 15.49/10.36 inference(modus_ponens,[status(thm)],[260, 253])).
% 15.49/10.36 tff(262,plain,
% 15.49/10.36 (((~![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2))))) | (iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(z))))) <=> ((~![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2))))) | iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(z))))),
% 15.49/10.36 inference(rewrite,[status(thm)],[])).
% 15.49/10.36 tff(263,plain,
% 15.49/10.36 ((~![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2))))) | (iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(z))))),
% 15.49/10.36 inference(quant_inst,[status(thm)],[])).
% 15.49/10.36 tff(264,plain,
% 15.49/10.36 ((~![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(A_2))))) | iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(z)))),
% 15.49/10.36 inference(modus_ponens,[status(thm)],[263, 262])).
% 15.49/10.36 tff(265,plain,
% 15.49/10.36 (iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(z)))),
% 15.49/10.36 inference(unit_resolution,[status(thm)],[264, 261])).
% 15.49/10.36 tff(266,plain,
% 15.49/10.36 (iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z)))))),
% 15.49/10.36 inference(unit_resolution,[status(thm)],[265, 195])).
% 15.49/10.36 tff(267,plain,
% 15.49/10.36 (iLEQ(suc(z), suc(z))),
% 15.49/10.36 inference(unit_resolution,[status(thm)],[266, 251, 83, 231])).
% 15.49/10.36 tff(268,plain,
% 15.49/10.36 (^[B_38: $i, B_37: $i, A_2: $i, B_36: $i] : refl(((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))))),
% 15.49/10.36 inference(bind,[status(th)],[])).
% 15.49/10.36 tff(269,plain,
% 15.49/10.36 (![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) <=> ![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))),
% 15.49/10.36 inference(quant_intro,[status(thm)],[268])).
% 15.49/10.36 tff(270,plain,
% 15.49/10.36 (![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) <=> ![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))),
% 15.49/10.36 inference(rewrite,[status(thm)],[])).
% 15.49/10.36 tff(271,plain,
% 15.49/10.36 (^[B_38: $i, B_37: $i, A_2: $i, B_36: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) <=> ((~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))), (((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) <=> (((~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))))), rewrite((((~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))), (((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))))), ((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) <=> (((~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) <=> ((~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))), ((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) <=> ((~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))))), (((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) <=> (((~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))))), rewrite((((~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))), (((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))))), ((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) <=> (((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))))), rewrite((((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))), ((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))))), (((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) <=> (((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~iLEQ(suc(B_37), suc(B_38)))))), rewrite((((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~iLEQ(suc(B_37), suc(B_38)))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))), (((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))))), ((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) <=> (((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))))), rewrite((((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))), ((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))))), (((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) <=> (((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~iLEQ(suc(A_2), suc(B_36)))))), rewrite((((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~iLEQ(suc(A_2), suc(B_36)))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))), (((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))))), ((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36))))) <=> (((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(f(B_36), f(suc(B_36))))))), rewrite((((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(f(B_36), f(suc(B_36))))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))), ((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36))))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))))), (((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) <=> (((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))))), rewrite((((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))), (((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))))), ((((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) <=> (((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_37)))))), rewrite((((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))), ((((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))))), (((((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38)))))) <=> (((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38)))))))), rewrite((((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38)))))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))), (((((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38)))))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))))), ((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) <=> (((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))))), rewrite((((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))), ((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))))), (((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) | (~tptp_fun__E_(f(B_37), f(suc(B_37))))) <=> (((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(f(B_37), f(suc(B_37))))))), rewrite((((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(f(B_37), f(suc(B_37))))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))), (((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) | (~tptp_fun__E_(f(B_37), f(suc(B_37))))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))))), ((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) | (~tptp_fun__E_(f(B_37), f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_38)))) <=> (((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_38)))))), rewrite((((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_38)))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))), ((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) | (~tptp_fun__E_(f(B_37), f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_38)))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))))), (((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) | (~tptp_fun__E_(f(B_37), f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_38)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2))))) <=> (((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(f(A_2), f(suc(A_2))))))), rewrite((((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(f(A_2), f(suc(A_2))))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))), (((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) | (~tptp_fun__E_(f(B_37), f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_38)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2))))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))))), ((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) | (~tptp_fun__E_(f(B_37), f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_38)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2))))) | (~iLEQ(suc(B_36), suc(B_37)))) <=> (((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~iLEQ(suc(B_36), suc(B_37)))))), rewrite((((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~iLEQ(suc(B_36), suc(B_37)))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))), ((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) | (~tptp_fun__E_(f(B_37), f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_38)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2))))) | (~iLEQ(suc(B_36), suc(B_37)))) <=> ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))))),
% 15.49/10.37 inference(bind,[status(th)],[])).
% 15.49/10.37 tff(272,plain,
% 15.49/10.37 (![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : (((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) | (~tptp_fun__E_(f(B_37), f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_38)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2))))) | (~iLEQ(suc(B_36), suc(B_37)))) <=> ![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))),
% 15.49/10.37 inference(quant_intro,[status(thm)],[271])).
% 15.49/10.37 tff(273,axiom,(![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : (((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2)))))) | (~tptp_fun__E_(|'0'|, f(B_36)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36)))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(f(B_38), f(suc(B_38))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37)))))) | (~iLEQ(suc(B_37), suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(B_36))))) | (~iLEQ(suc(A_2), suc(B_36)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_38))))) | (~tptp_fun__E_(f(B_37), f(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(B_38)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2))))) | (~iLEQ(suc(B_36), suc(B_37))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_593')).
% 15.49/10.37 tff(274,plain,
% 15.49/10.37 (![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))),
% 15.49/10.37 inference(modus_ponens,[status(thm)],[273, 272])).
% 15.49/10.37 tff(275,plain,
% 15.49/10.37 (![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))),
% 15.49/10.37 inference(modus_ponens,[status(thm)],[274, 270])).
% 15.49/10.37 tff(276,plain,(
% 15.49/10.37 ![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))),
% 15.49/10.37 inference(skolemize,[status(sab)],[275])).
% 15.49/10.37 tff(277,plain,
% 15.49/10.37 (![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))),
% 15.49/10.37 inference(modus_ponens,[status(thm)],[276, 269])).
% 15.49/10.37 tff(278,plain,
% 15.49/10.37 (((~![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))) | ((~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))))) <=> ((~![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))))),
% 15.49/10.37 inference(rewrite,[status(thm)],[])).
% 15.49/10.37 tff(279,plain,
% 15.49/10.37 (((~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z)))))) <=> ((~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))))),
% 15.49/10.37 inference(rewrite,[status(thm)],[])).
% 15.49/10.37 tff(280,plain,
% 15.49/10.37 (((~![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))) | ((~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))))) <=> ((~![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))) | ((~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z)))))),
% 15.49/10.37 inference(monotonicity,[status(thm)],[279])).
% 15.49/10.37 tff(281,plain,
% 15.49/10.37 (((~![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))) | ((~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))))) <=> ((~![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))))),
% 15.49/10.37 inference(transitivity,[status(thm)],[280, 278])).
% 15.49/10.37 tff(282,plain,
% 15.49/10.37 ((~![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))) | ((~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))))),
% 15.49/10.37 inference(quant_inst,[status(thm)],[])).
% 15.49/10.37 tff(283,plain,
% 15.49/10.37 ((~![B_38: $i, B_37: $i, A_2: $i, B_36: $i] : ((~tptp_fun__E_(f(B_38), f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_38))))) | (~iLEQ(suc(B_36), suc(B_37))) | (~tptp_fun__E_(|'0'|, f(B_38))) | (~tptp_fun__E_(f(B_37), f(suc(B_37)))) | (~tptp_fun__E_(|'0'|, f(suc(B_38)))) | (~tptp_fun__E_(|'0'|, f(B_37))) | (~tptp_fun__E_(|'0'|, f(suc(B_37)))) | (~tptp_fun__E_(f(B_36), f(suc(B_36)))) | (~iLEQ(suc(A_2), suc(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(B_36)))) | (~iLEQ(suc(B_37), suc(B_38))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_37))))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_36))))) | (~tptp_fun__E_(|'0'|, f(B_36))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~tptp_fun__E_(f(A_2), f(suc(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_2))))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z)))),
% 15.49/10.37 inference(modus_ponens,[status(thm)],[282, 281])).
% 15.49/10.37 tff(284,plain,
% 15.49/10.37 ((~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~iLEQ(suc(z), suc(z)))),
% 15.49/10.37 inference(unit_resolution,[status(thm)],[283, 277, 195])).
% 15.49/10.37 tff(285,plain,
% 15.49/10.37 ($false),
% 15.49/10.37 inference(unit_resolution,[status(thm)],[284, 267, 251, 83, 231])).
% 15.49/10.37 tff(286,plain,(tptp_fun__E_(s(|'0'|), f(suc(suc(z))))), inference(lemma,lemma(discharge,[]))).
% 15.49/10.37 tff(287,assumption,(tptp_fun__E_(s(|'0'|), f(suc(z)))), introduced(assumption)).
% 15.49/10.37 tff(288,assumption,(tptp_fun__E_(s(|'0'|), f(suc(suc(z))))), introduced(assumption)).
% 15.49/10.37 tff(289,assumption,(~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))), introduced(assumption)).
% 15.49/10.37 tff(290,plain,
% 15.49/10.37 (((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (iLEQ(suc(suc(z)), suc(suc(z))) | tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))))) <=> ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | iLEQ(suc(suc(z)), suc(suc(z))) | tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))))),
% 15.49/10.37 inference(rewrite,[status(thm)],[])).
% 15.49/10.37 tff(291,plain,
% 15.49/10.37 ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (iLEQ(suc(suc(z)), suc(suc(z))) | tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))))),
% 15.49/10.37 inference(quant_inst,[status(thm)],[])).
% 15.49/10.37 tff(292,plain,
% 15.49/10.37 ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | iLEQ(suc(suc(z)), suc(suc(z))) | tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z))))),
% 15.49/10.37 inference(modus_ponens,[status(thm)],[291, 290])).
% 15.49/10.37 tff(293,plain,
% 15.49/10.37 (iLEQ(suc(suc(z)), suc(suc(z))) | tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z))))),
% 15.49/10.37 inference(unit_resolution,[status(thm)],[292, 109])).
% 15.49/10.37 tff(294,plain,
% 15.49/10.37 (iLEQ(suc(suc(z)), suc(suc(z)))),
% 15.49/10.37 inference(unit_resolution,[status(thm)],[293, 289, 288, 287])).
% 15.49/10.37 tff(295,plain,
% 15.49/10.37 (((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(suc(z)), suc(suc(z)))))) <=> ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(suc(z)), suc(suc(z)))))),
% 15.49/10.37 inference(rewrite,[status(thm)],[])).
% 15.49/10.37 tff(296,plain,
% 15.49/10.37 ((tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(suc(z)), suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(suc(z)), suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(suc(z)), suc(suc(z))))) <=> (tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(suc(z)), suc(suc(z)))))),
% 15.49/10.37 inference(rewrite,[status(thm)],[])).
% 15.49/10.37 tff(297,plain,
% 15.49/10.37 (((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(suc(z)), suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(suc(z)), suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(suc(z)), suc(suc(z)))))) <=> ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(suc(z)), suc(suc(z))))))),
% 15.49/10.37 inference(monotonicity,[status(thm)],[296])).
% 15.49/10.37 tff(298,plain,
% 15.49/10.37 (((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(suc(z)), suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(suc(z)), suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(suc(z)), suc(suc(z)))))) <=> ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(suc(z)), suc(suc(z)))))),
% 15.49/10.38 inference(transitivity,[status(thm)],[297, 295])).
% 15.49/10.38 tff(299,plain,
% 15.49/10.38 ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(suc(z)), suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(suc(z)), suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(suc(z)), suc(suc(z)))))),
% 15.49/10.38 inference(quant_inst,[status(thm)],[])).
% 15.49/10.38 tff(300,plain,
% 15.49/10.38 ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(suc(z)), suc(suc(z))))),
% 15.49/10.38 inference(modus_ponens,[status(thm)],[299, 298])).
% 15.49/10.38 tff(301,plain,
% 15.49/10.38 (tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(suc(z)), suc(suc(z))))),
% 15.49/10.38 inference(unit_resolution,[status(thm)],[300, 127])).
% 15.49/10.38 tff(302,plain,
% 15.49/10.38 ($false),
% 15.49/10.38 inference(unit_resolution,[status(thm)],[301, 294, 289, 288, 287])).
% 15.49/10.38 tff(303,plain,(tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z))))), inference(lemma,lemma(discharge,[]))).
% 15.49/10.38 tff(304,plain,
% 15.49/10.38 (tptp_fun__E_(f(suc(z)), f(suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z))))),
% 15.49/10.38 inference(unit_resolution,[status(thm)],[303, 286])).
% 15.49/10.38 tff(305,plain,
% 15.49/10.38 (tptp_fun__E_(f(suc(z)), f(suc(suc(z))))),
% 15.49/10.38 inference(unit_resolution,[status(thm)],[304, 25])).
% 15.49/10.38 tff(306,plain,
% 15.49/10.38 (((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (iLEQ(suc(suc(z)), suc(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))))) <=> ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | iLEQ(suc(suc(z)), suc(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))))),
% 15.49/10.38 inference(rewrite,[status(thm)],[])).
% 15.49/10.38 tff(307,plain,
% 15.49/10.38 ((iLEQ(suc(suc(z)), suc(suc(z))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z))))) <=> (iLEQ(suc(suc(z)), suc(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))))),
% 15.49/10.38 inference(rewrite,[status(thm)],[])).
% 15.49/10.38 tff(308,plain,
% 15.49/10.38 (((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (iLEQ(suc(suc(z)), suc(suc(z))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))))) <=> ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (iLEQ(suc(suc(z)), suc(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z)))))))),
% 15.49/10.38 inference(monotonicity,[status(thm)],[307])).
% 15.49/10.38 tff(309,plain,
% 15.49/10.38 (((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (iLEQ(suc(suc(z)), suc(suc(z))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))))) <=> ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | iLEQ(suc(suc(z)), suc(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))))),
% 15.49/10.38 inference(transitivity,[status(thm)],[308, 306])).
% 15.49/10.38 tff(310,plain,
% 15.49/10.38 ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (iLEQ(suc(suc(z)), suc(suc(z))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))))),
% 15.49/10.38 inference(quant_inst,[status(thm)],[])).
% 15.49/10.38 tff(311,plain,
% 15.49/10.38 ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | iLEQ(suc(suc(z)), suc(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z)))))),
% 15.49/10.38 inference(modus_ponens,[status(thm)],[310, 309])).
% 15.49/10.38 tff(312,plain,
% 15.49/10.38 (iLEQ(suc(suc(z)), suc(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z)))))),
% 15.49/10.38 inference(unit_resolution,[status(thm)],[311, 153])).
% 15.49/10.38 tff(313,plain,
% 15.49/10.38 (iLEQ(suc(suc(z)), suc(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z)))))),
% 15.49/10.38 inference(unit_resolution,[status(thm)],[312, 286])).
% 15.49/10.38 tff(314,plain,
% 15.49/10.38 (iLEQ(suc(suc(z)), suc(suc(z)))),
% 15.49/10.38 inference(unit_resolution,[status(thm)],[313, 305, 44, 25])).
% 15.49/10.38 tff(315,plain,
% 15.49/10.38 (((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | ((~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~iLEQ(suc(suc(z)), suc(suc(z)))))) <=> ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~iLEQ(suc(suc(z)), suc(suc(z)))))),
% 15.49/10.38 inference(rewrite,[status(thm)],[])).
% 15.49/10.38 tff(316,plain,
% 15.49/10.38 (((~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~iLEQ(suc(suc(z)), suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~iLEQ(suc(suc(z)), suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(suc(z)), suc(suc(z))))) <=> ((~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~iLEQ(suc(suc(z)), suc(suc(z)))))),
% 15.49/10.38 inference(rewrite,[status(thm)],[])).
% 15.49/10.38 tff(317,plain,
% 15.49/10.38 (((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | ((~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~iLEQ(suc(suc(z)), suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~iLEQ(suc(suc(z)), suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(suc(z)), suc(suc(z)))))) <=> ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | ((~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~iLEQ(suc(suc(z)), suc(suc(z))))))),
% 15.49/10.38 inference(monotonicity,[status(thm)],[316])).
% 15.49/10.38 tff(318,plain,
% 15.49/10.38 (((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | ((~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~iLEQ(suc(suc(z)), suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~iLEQ(suc(suc(z)), suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(suc(z)), suc(suc(z)))))) <=> ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~iLEQ(suc(suc(z)), suc(suc(z)))))),
% 15.49/10.38 inference(transitivity,[status(thm)],[317, 315])).
% 15.49/10.38 tff(319,plain,
% 15.49/10.38 ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | ((~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~iLEQ(suc(suc(z)), suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~iLEQ(suc(suc(z)), suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(suc(z)), suc(suc(z)))))),
% 15.49/10.38 inference(quant_inst,[status(thm)],[])).
% 15.49/10.38 tff(320,plain,
% 15.49/10.38 ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~iLEQ(suc(suc(z)), suc(suc(z))))),
% 15.49/10.38 inference(modus_ponens,[status(thm)],[319, 318])).
% 15.49/10.38 tff(321,plain,
% 15.49/10.38 ((~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~iLEQ(suc(suc(z)), suc(suc(z))))),
% 15.49/10.38 inference(unit_resolution,[status(thm)],[320, 171])).
% 15.49/10.38 tff(322,plain,
% 15.49/10.38 ((~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(f(suc(z)), f(suc(suc(z))))) | (~iLEQ(suc(suc(z)), suc(suc(z))))),
% 15.49/10.38 inference(unit_resolution,[status(thm)],[321, 286])).
% 15.49/10.38 tff(323,plain,
% 15.49/10.38 ($false),
% 15.49/10.38 inference(unit_resolution,[status(thm)],[322, 314, 305, 44, 25])).
% 15.49/10.38 tff(324,plain,(tptp_fun__LE_(f(suc(z)), s(|'0'|))), inference(lemma,lemma(discharge,[]))).
% 15.49/10.38 tff(325,plain,
% 15.49/10.38 (tptp_fun__E_(|'0'|, f(suc(z)))),
% 15.49/10.38 inference(unit_resolution,[status(thm)],[82, 324])).
% 15.49/10.38 tff(326,plain,
% 15.49/10.38 (tptp_fun__E_(f(z), f(suc(z)))),
% 15.49/10.38 inference(unit_resolution,[status(thm)],[230, 325])).
% 15.49/10.38 tff(327,assumption,(~tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))), introduced(assumption)).
% 15.49/10.38 tff(328,assumption,(~tptp_fun__LE_(f(suc(suc(suc(suc(z))))), s(s(|'0'|)))), introduced(assumption)).
% 15.49/10.38 tff(329,plain,
% 15.49/10.38 ((~![A: $i] : tptp_fun__LE_(f(A), s(s(|'0'|)))) | tptp_fun__LE_(f(suc(suc(suc(suc(z))))), s(s(|'0'|)))),
% 15.49/10.38 inference(quant_inst,[status(thm)],[])).
% 15.49/10.38 tff(330,plain,
% 15.49/10.38 ($false),
% 15.49/10.38 inference(unit_resolution,[status(thm)],[329, 7, 328])).
% 15.49/10.38 tff(331,plain,(tptp_fun__LE_(f(suc(suc(suc(suc(z))))), s(s(|'0'|)))), inference(lemma,lemma(discharge,[]))).
% 15.49/10.38 tff(332,plain,
% 15.49/10.38 (((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23)))))) | (tptp_fun__LE_(f(suc(suc(z))), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(suc(suc(z))))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z)))))))) <=> ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23)))))) | tptp_fun__LE_(f(suc(suc(z))), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(suc(suc(z))))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z)))))))),
% 15.49/10.38 inference(rewrite,[status(thm)],[])).
% 15.49/10.38 tff(333,plain,
% 15.49/10.38 ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23)))))) | (tptp_fun__LE_(f(suc(suc(z))), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(suc(suc(z))))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z)))))))),
% 15.49/10.38 inference(quant_inst,[status(thm)],[])).
% 15.49/10.38 tff(334,plain,
% 15.49/10.38 ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(B_23))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(B_23)))))) | tptp_fun__LE_(f(suc(suc(z))), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(suc(suc(z))))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))),
% 15.49/10.38 inference(modus_ponens,[status(thm)],[333, 332])).
% 15.49/10.38 tff(335,plain,
% 15.49/10.38 (tptp_fun__LE_(f(suc(suc(z))), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))),
% 15.49/10.38 inference(unit_resolution,[status(thm)],[334, 39, 331])).
% 15.49/10.38 tff(336,plain,
% 15.49/10.38 (tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))),
% 15.49/10.38 inference(unit_resolution,[status(thm)],[335, 327])).
% 15.49/10.38 tff(337,plain,
% 15.49/10.38 (((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23))))) | (tptp_fun__LE_(f(suc(suc(z))), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(suc(z)))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z))))))) <=> ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23))))) | tptp_fun__LE_(f(suc(suc(z))), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(suc(z)))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z))))))),
% 15.49/10.38 inference(rewrite,[status(thm)],[])).
% 15.49/10.38 tff(338,plain,
% 15.49/10.38 ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23))))) | (tptp_fun__LE_(f(suc(suc(z))), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(suc(z)))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z))))))),
% 15.49/10.38 inference(quant_inst,[status(thm)],[])).
% 15.49/10.38 tff(339,plain,
% 15.49/10.38 ((~![B_23: $i] : (tptp_fun__LE_(f(B_23), s(|'0'|)) | (~tptp_fun__LE_(f(suc(B_23)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_23))))) | tptp_fun__LE_(f(suc(suc(z))), s(|'0'|)) | (~tptp_fun__LE_(f(suc(suc(suc(z)))), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))),
% 15.49/10.38 inference(modus_ponens,[status(thm)],[338, 337])).
% 15.49/10.38 tff(340,plain,
% 15.49/10.38 (tptp_fun__LE_(f(suc(suc(z))), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))),
% 15.49/10.38 inference(unit_resolution,[status(thm)],[339, 59, 29])).
% 15.49/10.38 tff(341,plain,
% 15.49/10.38 (tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))),
% 15.49/10.38 inference(unit_resolution,[status(thm)],[340, 327])).
% 15.49/10.38 tff(342,assumption,(tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))), introduced(assumption)).
% 15.49/10.38 tff(343,assumption,(~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))), introduced(assumption)).
% 15.49/10.38 tff(344,assumption,(tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))), introduced(assumption)).
% 15.49/10.38 tff(345,plain,
% 15.49/10.38 (((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | ((~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))))) <=> ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))))),
% 15.49/10.38 inference(rewrite,[status(thm)],[])).
% 15.49/10.38 tff(346,plain,
% 15.49/10.38 ((iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z)))))) <=> ((~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))))),
% 15.49/10.38 inference(rewrite,[status(thm)],[])).
% 15.49/10.38 tff(347,plain,
% 15.49/10.38 (((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))))) <=> ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | ((~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))))))),
% 15.49/10.38 inference(monotonicity,[status(thm)],[346])).
% 15.49/10.38 tff(348,plain,
% 15.49/10.38 (((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))))) <=> ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))))),
% 15.49/10.38 inference(transitivity,[status(thm)],[347, 345])).
% 15.49/10.38 tff(349,plain,
% 15.49/10.38 ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))))),
% 15.49/10.38 inference(quant_inst,[status(thm)],[])).
% 15.49/10.38 tff(350,plain,
% 15.49/10.38 ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))))),
% 15.49/10.38 inference(modus_ponens,[status(thm)],[349, 348])).
% 15.49/10.38 tff(351,plain,
% 15.49/10.38 ((~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))))),
% 15.49/10.38 inference(unit_resolution,[status(thm)],[350, 153])).
% 15.49/10.38 tff(352,plain,
% 15.49/10.38 (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))),
% 15.49/10.38 inference(unit_resolution,[status(thm)],[351, 343, 288, 342, 344])).
% 15.49/10.38 tff(353,plain,
% 15.49/10.38 (((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | ((~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))))) <=> ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))))),
% 15.49/10.38 inference(rewrite,[status(thm)],[])).
% 15.49/10.38 tff(354,plain,
% 15.49/10.38 ((iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z)))))) <=> ((~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))))),
% 15.49/10.38 inference(rewrite,[status(thm)],[])).
% 15.49/10.38 tff(355,plain,
% 15.49/10.38 (((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))))) <=> ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | ((~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z))))))))),
% 15.49/10.38 inference(monotonicity,[status(thm)],[354])).
% 15.49/10.38 tff(356,plain,
% 15.49/10.38 (((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))))) <=> ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))))),
% 15.49/10.39 inference(transitivity,[status(thm)],[355, 353])).
% 15.49/10.39 tff(357,plain,
% 15.49/10.39 ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))))),
% 15.49/10.39 inference(quant_inst,[status(thm)],[])).
% 15.49/10.39 tff(358,plain,
% 15.49/10.39 ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z))))))),
% 15.49/10.39 inference(modus_ponens,[status(thm)],[357, 356])).
% 15.49/10.39 tff(359,plain,
% 15.49/10.39 ((~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z))))))),
% 15.49/10.39 inference(unit_resolution,[status(thm)],[358, 109])).
% 15.49/10.39 tff(360,plain,
% 15.49/10.39 ($false),
% 15.49/10.39 inference(unit_resolution,[status(thm)],[359, 352, 343, 342, 288])).
% 15.49/10.39 tff(361,plain,(iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z)))))))), inference(lemma,lemma(discharge,[]))).
% 15.49/10.39 tff(362,plain,
% 15.49/10.39 (iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z)))))))),
% 15.49/10.39 inference(unit_resolution,[status(thm)],[361, 286])).
% 15.49/10.39 tff(363,plain,
% 15.49/10.39 (iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))),
% 15.49/10.39 inference(unit_resolution,[status(thm)],[362, 336, 341])).
% 15.49/10.39 tff(364,plain,
% 15.49/10.39 (((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | ((~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))))) <=> ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))))),
% 15.49/10.39 inference(rewrite,[status(thm)],[])).
% 15.49/10.39 tff(365,plain,
% 15.49/10.39 ((tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))))) <=> ((~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))))),
% 15.49/10.39 inference(rewrite,[status(thm)],[])).
% 15.49/10.39 tff(366,plain,
% 15.49/10.39 (((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))))) <=> ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | ((~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))))))),
% 15.49/10.39 inference(monotonicity,[status(thm)],[365])).
% 15.49/10.39 tff(367,plain,
% 15.49/10.39 (((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))))) <=> ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))))),
% 15.49/10.39 inference(transitivity,[status(thm)],[366, 364])).
% 15.49/10.39 tff(368,plain,
% 15.49/10.39 ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))))),
% 15.49/10.39 inference(quant_inst,[status(thm)],[])).
% 15.49/10.39 tff(369,plain,
% 15.49/10.39 ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))))),
% 15.49/10.39 inference(modus_ponens,[status(thm)],[368, 367])).
% 15.49/10.39 tff(370,plain,
% 15.49/10.39 (tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))))),
% 15.49/10.39 inference(unit_resolution,[status(thm)],[369, 127, 286])).
% 15.49/10.39 tff(371,plain,
% 15.49/10.39 (tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))),
% 15.49/10.39 inference(unit_resolution,[status(thm)],[370, 363, 341])).
% 15.49/10.39 tff(372,plain,
% 15.49/10.39 (((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | ((~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))))) <=> ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))))),
% 15.57/10.39 inference(rewrite,[status(thm)],[])).
% 15.57/10.39 tff(373,plain,
% 15.57/10.39 (((~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))))) <=> ((~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))))),
% 15.57/10.39 inference(rewrite,[status(thm)],[])).
% 15.57/10.39 tff(374,plain,
% 15.57/10.39 (((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | ((~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))))) <=> ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | ((~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))))))),
% 15.57/10.39 inference(monotonicity,[status(thm)],[373])).
% 15.57/10.39 tff(375,plain,
% 15.57/10.39 (((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | ((~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))))) <=> ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))))),
% 15.57/10.39 inference(transitivity,[status(thm)],[374, 372])).
% 15.57/10.39 tff(376,plain,
% 15.57/10.39 ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | ((~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z))))))),
% 15.57/10.39 inference(quant_inst,[status(thm)],[])).
% 15.57/10.39 tff(377,plain,
% 15.57/10.39 ((~![B_25: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_24))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_26)))) | (~tptp_fun__E_(s(|'0'|), f(B_25))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_25))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_24)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(B_26))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(A_1))))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_25)))) | (~tptp_fun__E_(s(|'0'|), f(B_24))) | (~iLEQ(suc(B_25), suc(B_26))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))))),
% 15.57/10.39 inference(modus_ponens,[status(thm)],[376, 375])).
% 15.57/10.39 tff(378,plain,
% 15.57/10.39 ((~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(z)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(suc(suc(z))))))) | (~tptp_fun__E_(f(suc(suc(z))), f(suc(suc(suc(z)))))) | (~iLEQ(suc(suc(suc(z))), suc(suc(suc(z)))))),
% 15.57/10.39 inference(unit_resolution,[status(thm)],[377, 171, 286])).
% 15.57/10.39 tff(379,plain,
% 15.57/10.39 ($false),
% 15.57/10.39 inference(unit_resolution,[status(thm)],[378, 371, 363, 341, 336])).
% 15.57/10.39 tff(380,plain,(tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))), inference(lemma,lemma(discharge,[]))).
% 15.57/10.39 tff(381,plain,
% 15.57/10.39 (tptp_fun__E_(|'0'|, f(suc(suc(z))))),
% 15.57/10.39 inference(unit_resolution,[status(thm)],[250, 380])).
% 15.57/10.39 tff(382,plain,
% 15.57/10.39 (iLEQ(suc(z), suc(z))),
% 15.57/10.39 inference(unit_resolution,[status(thm)],[266, 381, 325, 326])).
% 15.57/10.40 tff(383,plain,
% 15.57/10.40 ($false),
% 15.57/10.40 inference(unit_resolution,[status(thm)],[284, 382, 381, 325, 326])).
% 15.57/10.40 % SZS output end Proof
%------------------------------------------------------------------------------