TSTP Solution File: SYO666-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYO666-1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n029.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 01:41:15 EDT 2022
% Result : Unsatisfiable 1.34s 1.09s
% Output : Proof 1.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO666-1 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Sep 5 15:56:31 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 1.34/1.09 % SZS status Unsatisfiable
% 1.34/1.09 % SZS output start Proof
% 1.34/1.09 tff(iLEQ_type, type, (
% 1.34/1.09 iLEQ: ( $i * $i ) > $o)).
% 1.34/1.09 tff(suc_type, type, (
% 1.34/1.09 suc: $i > $i)).
% 1.34/1.09 tff(z_type, type, (
% 1.34/1.09 z: $i)).
% 1.34/1.09 tff(tptp_fun__E__type, type, (
% 1.34/1.09 tptp_fun__E_: ( $i * $i ) > $o)).
% 1.34/1.09 tff(f_type, type, (
% 1.34/1.09 f: $i > $i)).
% 1.34/1.09 tff(s_type, type, (
% 1.34/1.09 s: $i > $i)).
% 1.34/1.09 tff(tptp_fun__0__type, type, (
% 1.34/1.09 tptp_fun__0_: $i)).
% 1.34/1.09 tff(tptp_fun__LE__type, type, (
% 1.34/1.09 tptp_fun__LE_: ( $i * $i ) > $o)).
% 1.34/1.09 tff(1,assumption,(tptp_fun__E_(|'0'|, f(z))), introduced(assumption)).
% 1.34/1.09 tff(2,assumption,(~tptp_fun__LE_(f(suc(z)), s(|'0'|))), introduced(assumption)).
% 1.34/1.09 tff(3,assumption,(~tptp_fun__LE_(f(suc(suc(z))), s(s(|'0'|)))), introduced(assumption)).
% 1.34/1.09 tff(4,plain,
% 1.34/1.09 (^[A: $i] : refl(tptp_fun__LE_(f(A), s(s(|'0'|))) <=> tptp_fun__LE_(f(A), s(s(|'0'|))))),
% 1.34/1.09 inference(bind,[status(th)],[])).
% 1.34/1.09 tff(5,plain,
% 1.34/1.09 (![A: $i] : tptp_fun__LE_(f(A), s(s(|'0'|))) <=> ![A: $i] : tptp_fun__LE_(f(A), s(s(|'0'|)))),
% 1.34/1.09 inference(quant_intro,[status(thm)],[4])).
% 1.34/1.09 tff(6,plain,
% 1.34/1.09 (![A: $i] : tptp_fun__LE_(f(A), s(s(|'0'|))) <=> ![A: $i] : tptp_fun__LE_(f(A), s(s(|'0'|)))),
% 1.34/1.09 inference(rewrite,[status(thm)],[])).
% 1.34/1.09 tff(7,axiom,(![A: $i] : tptp_fun__LE_(f(A), s(s(|'0'|)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_83')).
% 1.34/1.09 tff(8,plain,
% 1.34/1.09 (![A: $i] : tptp_fun__LE_(f(A), s(s(|'0'|)))),
% 1.34/1.09 inference(modus_ponens,[status(thm)],[7, 6])).
% 1.34/1.09 tff(9,plain,(
% 1.34/1.09 ![A: $i] : tptp_fun__LE_(f(A), s(s(|'0'|)))),
% 1.34/1.09 inference(skolemize,[status(sab)],[8])).
% 1.34/1.09 tff(10,plain,
% 1.34/1.09 (![A: $i] : tptp_fun__LE_(f(A), s(s(|'0'|)))),
% 1.34/1.09 inference(modus_ponens,[status(thm)],[9, 5])).
% 1.34/1.09 tff(11,plain,
% 1.34/1.09 ((~![A: $i] : tptp_fun__LE_(f(A), s(s(|'0'|)))) | tptp_fun__LE_(f(suc(suc(z))), s(s(|'0'|)))),
% 1.34/1.09 inference(quant_inst,[status(thm)],[])).
% 1.34/1.09 tff(12,plain,
% 1.34/1.09 ($false),
% 1.34/1.09 inference(unit_resolution,[status(thm)],[11, 10, 3])).
% 1.34/1.09 tff(13,plain,(tptp_fun__LE_(f(suc(suc(z))), s(s(|'0'|)))), inference(lemma,lemma(discharge,[]))).
% 1.34/1.09 tff(14,plain,
% 1.34/1.09 (^[B_68: $i] : refl((tptp_fun__LE_(f(B_68), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(suc(B_68))) | (~tptp_fun__LE_(f(suc(B_68)), s(s(|'0'|))))) <=> (tptp_fun__LE_(f(B_68), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(suc(B_68))) | (~tptp_fun__LE_(f(suc(B_68)), s(s(|'0'|))))))),
% 1.34/1.09 inference(bind,[status(th)],[])).
% 1.34/1.09 tff(15,plain,
% 1.34/1.09 (![B_68: $i] : (tptp_fun__LE_(f(B_68), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(suc(B_68))) | (~tptp_fun__LE_(f(suc(B_68)), s(s(|'0'|))))) <=> ![B_68: $i] : (tptp_fun__LE_(f(B_68), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(suc(B_68))) | (~tptp_fun__LE_(f(suc(B_68)), s(s(|'0'|)))))),
% 1.34/1.09 inference(quant_intro,[status(thm)],[14])).
% 1.34/1.09 tff(16,plain,
% 1.34/1.09 (![B_68: $i] : (tptp_fun__LE_(f(B_68), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(suc(B_68))) | (~tptp_fun__LE_(f(suc(B_68)), s(s(|'0'|))))) <=> ![B_68: $i] : (tptp_fun__LE_(f(B_68), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(suc(B_68))) | (~tptp_fun__LE_(f(suc(B_68)), s(s(|'0'|)))))),
% 1.34/1.09 inference(rewrite,[status(thm)],[])).
% 1.34/1.09 tff(17,plain,
% 1.34/1.09 (^[B_68: $i] : rewrite((((~tptp_fun__LE_(f(suc(B_68)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_68)))) | tptp_fun__LE_(f(B_68), s(|'0'|))) <=> (tptp_fun__LE_(f(B_68), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(suc(B_68))) | (~tptp_fun__LE_(f(suc(B_68)), s(s(|'0'|))))))),
% 1.34/1.09 inference(bind,[status(th)],[])).
% 1.34/1.09 tff(18,plain,
% 1.34/1.09 (![B_68: $i] : (((~tptp_fun__LE_(f(suc(B_68)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_68)))) | tptp_fun__LE_(f(B_68), s(|'0'|))) <=> ![B_68: $i] : (tptp_fun__LE_(f(B_68), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(suc(B_68))) | (~tptp_fun__LE_(f(suc(B_68)), s(s(|'0'|)))))),
% 1.34/1.09 inference(quant_intro,[status(thm)],[17])).
% 1.34/1.09 tff(19,axiom,(![B_68: $i] : (((~tptp_fun__LE_(f(suc(B_68)), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(suc(B_68)))) | tptp_fun__LE_(f(B_68), s(|'0'|)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_29')).
% 1.34/1.09 tff(20,plain,
% 1.34/1.09 (![B_68: $i] : (tptp_fun__LE_(f(B_68), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(suc(B_68))) | (~tptp_fun__LE_(f(suc(B_68)), s(s(|'0'|)))))),
% 1.34/1.09 inference(modus_ponens,[status(thm)],[19, 18])).
% 1.34/1.09 tff(21,plain,
% 1.34/1.09 (![B_68: $i] : (tptp_fun__LE_(f(B_68), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(suc(B_68))) | (~tptp_fun__LE_(f(suc(B_68)), s(s(|'0'|)))))),
% 1.34/1.09 inference(modus_ponens,[status(thm)],[20, 16])).
% 1.34/1.09 tff(22,plain,(
% 1.34/1.09 ![B_68: $i] : (tptp_fun__LE_(f(B_68), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(suc(B_68))) | (~tptp_fun__LE_(f(suc(B_68)), s(s(|'0'|)))))),
% 1.34/1.09 inference(skolemize,[status(sab)],[21])).
% 1.34/1.09 tff(23,plain,
% 1.34/1.09 (![B_68: $i] : (tptp_fun__LE_(f(B_68), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(suc(B_68))) | (~tptp_fun__LE_(f(suc(B_68)), s(s(|'0'|)))))),
% 1.34/1.09 inference(modus_ponens,[status(thm)],[22, 15])).
% 1.34/1.09 tff(24,plain,
% 1.34/1.09 (((~![B_68: $i] : (tptp_fun__LE_(f(B_68), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(suc(B_68))) | (~tptp_fun__LE_(f(suc(B_68)), s(s(|'0'|)))))) | (tptp_fun__LE_(f(suc(z)), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(suc(suc(z)))) | (~tptp_fun__LE_(f(suc(suc(z))), s(s(|'0'|)))))) <=> ((~![B_68: $i] : (tptp_fun__LE_(f(B_68), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(suc(B_68))) | (~tptp_fun__LE_(f(suc(B_68)), s(s(|'0'|)))))) | tptp_fun__LE_(f(suc(z)), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(suc(suc(z)))) | (~tptp_fun__LE_(f(suc(suc(z))), s(s(|'0'|)))))),
% 1.34/1.09 inference(rewrite,[status(thm)],[])).
% 1.34/1.09 tff(25,plain,
% 1.34/1.09 ((~![B_68: $i] : (tptp_fun__LE_(f(B_68), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(suc(B_68))) | (~tptp_fun__LE_(f(suc(B_68)), s(s(|'0'|)))))) | (tptp_fun__LE_(f(suc(z)), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(suc(suc(z)))) | (~tptp_fun__LE_(f(suc(suc(z))), s(s(|'0'|)))))),
% 1.34/1.09 inference(quant_inst,[status(thm)],[])).
% 1.34/1.09 tff(26,plain,
% 1.34/1.09 ((~![B_68: $i] : (tptp_fun__LE_(f(B_68), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(suc(B_68))) | (~tptp_fun__LE_(f(suc(B_68)), s(s(|'0'|)))))) | tptp_fun__LE_(f(suc(z)), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(suc(suc(z)))) | (~tptp_fun__LE_(f(suc(suc(z))), s(s(|'0'|))))),
% 1.34/1.09 inference(modus_ponens,[status(thm)],[25, 24])).
% 1.34/1.09 tff(27,plain,
% 1.34/1.09 (tptp_fun__LE_(f(suc(z)), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(suc(suc(z))))),
% 1.34/1.09 inference(unit_resolution,[status(thm)],[26, 23, 13])).
% 1.34/1.09 tff(28,plain,
% 1.34/1.09 (tptp_fun__E_(s(|'0'|), f(suc(suc(z))))),
% 1.34/1.09 inference(unit_resolution,[status(thm)],[27, 2])).
% 1.34/1.09 tff(29,plain,
% 1.34/1.09 ((~![A: $i] : tptp_fun__LE_(f(A), s(s(|'0'|)))) | tptp_fun__LE_(f(suc(z)), s(s(|'0'|)))),
% 1.34/1.09 inference(quant_inst,[status(thm)],[])).
% 1.34/1.09 tff(30,plain,
% 1.34/1.09 (tptp_fun__LE_(f(suc(z)), s(s(|'0'|)))),
% 1.34/1.09 inference(unit_resolution,[status(thm)],[29, 10])).
% 1.34/1.09 tff(31,plain,
% 1.34/1.09 (^[B_68: $i] : refl((tptp_fun__LE_(f(B_68), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(B_68)) | (~tptp_fun__LE_(f(B_68), s(s(|'0'|))))) <=> (tptp_fun__LE_(f(B_68), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(B_68)) | (~tptp_fun__LE_(f(B_68), s(s(|'0'|))))))),
% 1.34/1.09 inference(bind,[status(th)],[])).
% 1.34/1.09 tff(32,plain,
% 1.34/1.09 (![B_68: $i] : (tptp_fun__LE_(f(B_68), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(B_68)) | (~tptp_fun__LE_(f(B_68), s(s(|'0'|))))) <=> ![B_68: $i] : (tptp_fun__LE_(f(B_68), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(B_68)) | (~tptp_fun__LE_(f(B_68), s(s(|'0'|)))))),
% 1.34/1.09 inference(quant_intro,[status(thm)],[31])).
% 1.34/1.09 tff(33,plain,
% 1.34/1.09 (![B_68: $i] : (tptp_fun__LE_(f(B_68), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(B_68)) | (~tptp_fun__LE_(f(B_68), s(s(|'0'|))))) <=> ![B_68: $i] : (tptp_fun__LE_(f(B_68), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(B_68)) | (~tptp_fun__LE_(f(B_68), s(s(|'0'|)))))),
% 1.34/1.09 inference(rewrite,[status(thm)],[])).
% 1.34/1.09 tff(34,plain,
% 1.34/1.09 (^[B_68: $i] : rewrite((((~tptp_fun__LE_(f(B_68), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_68))) | tptp_fun__LE_(f(B_68), s(|'0'|))) <=> (tptp_fun__LE_(f(B_68), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(B_68)) | (~tptp_fun__LE_(f(B_68), s(s(|'0'|))))))),
% 1.34/1.09 inference(bind,[status(th)],[])).
% 1.34/1.09 tff(35,plain,
% 1.34/1.09 (![B_68: $i] : (((~tptp_fun__LE_(f(B_68), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_68))) | tptp_fun__LE_(f(B_68), s(|'0'|))) <=> ![B_68: $i] : (tptp_fun__LE_(f(B_68), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(B_68)) | (~tptp_fun__LE_(f(B_68), s(s(|'0'|)))))),
% 1.34/1.09 inference(quant_intro,[status(thm)],[34])).
% 1.34/1.09 tff(36,axiom,(![B_68: $i] : (((~tptp_fun__LE_(f(B_68), s(s(|'0'|)))) | tptp_fun__E_(s(|'0'|), f(B_68))) | tptp_fun__LE_(f(B_68), s(|'0'|)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_185')).
% 1.34/1.09 tff(37,plain,
% 1.34/1.09 (![B_68: $i] : (tptp_fun__LE_(f(B_68), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(B_68)) | (~tptp_fun__LE_(f(B_68), s(s(|'0'|)))))),
% 1.34/1.09 inference(modus_ponens,[status(thm)],[36, 35])).
% 1.34/1.09 tff(38,plain,
% 1.34/1.09 (![B_68: $i] : (tptp_fun__LE_(f(B_68), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(B_68)) | (~tptp_fun__LE_(f(B_68), s(s(|'0'|)))))),
% 1.34/1.09 inference(modus_ponens,[status(thm)],[37, 33])).
% 1.34/1.09 tff(39,plain,(
% 1.34/1.09 ![B_68: $i] : (tptp_fun__LE_(f(B_68), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(B_68)) | (~tptp_fun__LE_(f(B_68), s(s(|'0'|)))))),
% 1.34/1.09 inference(skolemize,[status(sab)],[38])).
% 1.34/1.09 tff(40,plain,
% 1.34/1.09 (![B_68: $i] : (tptp_fun__LE_(f(B_68), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(B_68)) | (~tptp_fun__LE_(f(B_68), s(s(|'0'|)))))),
% 1.34/1.09 inference(modus_ponens,[status(thm)],[39, 32])).
% 1.34/1.09 tff(41,plain,
% 1.34/1.09 (((~![B_68: $i] : (tptp_fun__LE_(f(B_68), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(B_68)) | (~tptp_fun__LE_(f(B_68), s(s(|'0'|)))))) | (tptp_fun__LE_(f(suc(z)), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(suc(z))) | (~tptp_fun__LE_(f(suc(z)), s(s(|'0'|)))))) <=> ((~![B_68: $i] : (tptp_fun__LE_(f(B_68), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(B_68)) | (~tptp_fun__LE_(f(B_68), s(s(|'0'|)))))) | tptp_fun__LE_(f(suc(z)), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(suc(z))) | (~tptp_fun__LE_(f(suc(z)), s(s(|'0'|)))))),
% 1.34/1.09 inference(rewrite,[status(thm)],[])).
% 1.34/1.09 tff(42,plain,
% 1.34/1.09 ((~![B_68: $i] : (tptp_fun__LE_(f(B_68), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(B_68)) | (~tptp_fun__LE_(f(B_68), s(s(|'0'|)))))) | (tptp_fun__LE_(f(suc(z)), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(suc(z))) | (~tptp_fun__LE_(f(suc(z)), s(s(|'0'|)))))),
% 1.34/1.09 inference(quant_inst,[status(thm)],[])).
% 1.34/1.09 tff(43,plain,
% 1.34/1.09 ((~![B_68: $i] : (tptp_fun__LE_(f(B_68), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(B_68)) | (~tptp_fun__LE_(f(B_68), s(s(|'0'|)))))) | tptp_fun__LE_(f(suc(z)), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(suc(z))) | (~tptp_fun__LE_(f(suc(z)), s(s(|'0'|))))),
% 1.34/1.09 inference(modus_ponens,[status(thm)],[42, 41])).
% 1.34/1.09 tff(44,plain,
% 1.34/1.09 (tptp_fun__E_(s(|'0'|), f(suc(z))) | (~tptp_fun__LE_(f(suc(z)), s(s(|'0'|))))),
% 1.34/1.09 inference(unit_resolution,[status(thm)],[43, 40, 2])).
% 1.34/1.09 tff(45,plain,
% 1.34/1.09 (tptp_fun__E_(s(|'0'|), f(suc(z)))),
% 1.34/1.09 inference(unit_resolution,[status(thm)],[44, 30])).
% 1.34/1.09 tff(46,plain,
% 1.34/1.09 (^[A_1: $i] : refl((iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) <=> (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))))),
% 1.34/1.09 inference(bind,[status(th)],[])).
% 1.34/1.09 tff(47,plain,
% 1.34/1.09 (![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) <=> ![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))))),
% 1.34/1.09 inference(quant_intro,[status(thm)],[46])).
% 1.34/1.09 tff(48,plain,
% 1.34/1.09 (![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) <=> ![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))))),
% 1.34/1.09 inference(rewrite,[status(thm)],[])).
% 1.34/1.09 tff(49,plain,
% 1.34/1.09 (^[A_1: $i] : rewrite((((~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | iLEQ(suc(A_1), suc(A_1))) <=> (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))))),
% 1.34/1.09 inference(bind,[status(th)],[])).
% 1.34/1.09 tff(50,plain,
% 1.34/1.09 (![A_1: $i] : (((~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | iLEQ(suc(A_1), suc(A_1))) <=> ![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))))),
% 1.34/1.09 inference(quant_intro,[status(thm)],[49])).
% 1.34/1.09 tff(51,axiom,(![A_1: $i] : (((~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | iLEQ(suc(A_1), suc(A_1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_70')).
% 1.34/1.09 tff(52,plain,
% 1.34/1.09 (![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))))),
% 1.34/1.10 inference(modus_ponens,[status(thm)],[51, 50])).
% 1.34/1.10 tff(53,plain,
% 1.34/1.10 (![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))))),
% 1.34/1.10 inference(modus_ponens,[status(thm)],[52, 48])).
% 1.34/1.10 tff(54,plain,(
% 1.34/1.10 ![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))))),
% 1.34/1.10 inference(skolemize,[status(sab)],[53])).
% 1.34/1.10 tff(55,plain,
% 1.34/1.10 (![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))))),
% 1.34/1.10 inference(modus_ponens,[status(thm)],[54, 47])).
% 1.34/1.10 tff(56,plain,
% 1.34/1.10 (((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))))) | ((~tptp_fun__E_(s(|'0'|), f(suc(z)))) | iLEQ(suc(suc(z)), 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_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | iLEQ(suc(suc(z)), suc(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))))),
% 1.34/1.10 inference(rewrite,[status(thm)],[])).
% 1.34/1.10 tff(57,plain,
% 1.34/1.10 ((iLEQ(suc(suc(z)), suc(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_(s(|'0'|), f(suc(suc(z))))))),
% 1.34/1.10 inference(rewrite,[status(thm)],[])).
% 1.34/1.10 tff(58,plain,
% 1.34/1.10 (((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))))) | (iLEQ(suc(suc(z)), suc(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))))) <=> ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))))) | ((~tptp_fun__E_(s(|'0'|), f(suc(z)))) | iLEQ(suc(suc(z)), suc(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z)))))))),
% 1.34/1.10 inference(monotonicity,[status(thm)],[57])).
% 1.34/1.10 tff(59,plain,
% 1.34/1.10 (((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))))) | (iLEQ(suc(suc(z)), suc(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))))) <=> ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | iLEQ(suc(suc(z)), suc(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))))),
% 1.34/1.10 inference(transitivity,[status(thm)],[58, 56])).
% 1.34/1.10 tff(60,plain,
% 1.34/1.10 ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))))) | (iLEQ(suc(suc(z)), suc(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))))),
% 1.34/1.10 inference(quant_inst,[status(thm)],[])).
% 1.34/1.10 tff(61,plain,
% 1.34/1.10 ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | iLEQ(suc(suc(z)), suc(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z)))))),
% 1.34/1.10 inference(modus_ponens,[status(thm)],[60, 59])).
% 1.34/1.10 tff(62,plain,
% 1.34/1.10 ((~tptp_fun__E_(s(|'0'|), f(suc(z)))) | iLEQ(suc(suc(z)), suc(suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z)))))),
% 1.34/1.10 inference(unit_resolution,[status(thm)],[61, 55])).
% 1.34/1.10 tff(63,plain,
% 1.34/1.10 (iLEQ(suc(suc(z)), suc(suc(z)))),
% 1.34/1.10 inference(unit_resolution,[status(thm)],[62, 45, 28])).
% 1.34/1.10 tff(64,plain,
% 1.34/1.10 (^[B_73: $i, B_72: $i, A_1: $i, B_70: $i, B_69: $i, B_71: $i] : refl(((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_70))) | (~iLEQ(suc(A_1), suc(B_69))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69)))) <=> ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_70))) | (~iLEQ(suc(A_1), suc(B_69))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69)))))),
% 1.34/1.10 inference(bind,[status(th)],[])).
% 1.34/1.10 tff(65,plain,
% 1.34/1.10 (![B_73: $i, B_72: $i, A_1: $i, B_70: $i, B_69: $i, B_71: $i] : ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_70))) | (~iLEQ(suc(A_1), suc(B_69))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69)))) <=> ![B_73: $i, B_72: $i, A_1: $i, B_70: $i, B_69: $i, B_71: $i] : ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_70))) | (~iLEQ(suc(A_1), suc(B_69))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69))))),
% 1.34/1.10 inference(quant_intro,[status(thm)],[64])).
% 1.34/1.10 tff(66,plain,
% 1.34/1.10 (![B_73: $i, B_72: $i, A_1: $i, B_70: $i, B_69: $i, B_71: $i] : ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_70))) | (~iLEQ(suc(A_1), suc(B_69))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69)))) <=> ![B_73: $i, B_72: $i, A_1: $i, B_70: $i, B_69: $i, B_71: $i] : ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_70))) | (~iLEQ(suc(A_1), suc(B_69))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69))))),
% 1.34/1.10 inference(rewrite,[status(thm)],[])).
% 1.34/1.10 tff(67,plain,
% 1.34/1.10 (^[B_73: $i, B_72: $i, A_1: $i, B_70: $i, B_69: $i, B_71: $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(rewrite((((~tptp_fun__E_(s(|'0'|), f(B_69))) | (~iLEQ(suc(B_71), suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) <=> ((~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69))))), (((((~tptp_fun__E_(s(|'0'|), f(B_69))) | (~iLEQ(suc(B_71), suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) <=> (((~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))))), rewrite((((~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) <=> ((~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69))))), (((((~tptp_fun__E_(s(|'0'|), f(B_69))) | (~iLEQ(suc(B_71), suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) <=> ((~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69)))))), ((((((~tptp_fun__E_(s(|'0'|), f(B_69))) | (~iLEQ(suc(B_71), suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~iLEQ(suc(B_70), suc(B_71)))) <=> (((~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69)))) | (~iLEQ(suc(B_70), suc(B_71)))))), rewrite((((~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69)))) | (~iLEQ(suc(B_70), suc(B_71)))) <=> ((~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69))))), ((((((~tptp_fun__E_(s(|'0'|), f(B_69))) | (~iLEQ(suc(B_71), suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~iLEQ(suc(B_70), suc(B_71)))) <=> ((~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69)))))), (((((((~tptp_fun__E_(s(|'0'|), f(B_69))) | (~iLEQ(suc(B_71), suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~iLEQ(suc(B_70), suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(B_71)))) <=> (((~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69)))) | (~tptp_fun__E_(s(|'0'|), f(B_71)))))), rewrite((((~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69)))) | (~tptp_fun__E_(s(|'0'|), f(B_71)))) <=> ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69))))), (((((((~tptp_fun__E_(s(|'0'|), f(B_69))) | (~iLEQ(suc(B_71), suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~iLEQ(suc(B_70), suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(B_71)))) <=> ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69)))))), ((((((((~tptp_fun__E_(s(|'0'|), f(B_69))) | (~iLEQ(suc(B_71), suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~iLEQ(suc(B_70), suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71))))) <=> (((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71))))))), rewrite((((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71))))) <=> ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69))))), ((((((((~tptp_fun__E_(s(|'0'|), f(B_69))) | (~iLEQ(suc(B_71), suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~iLEQ(suc(B_70), suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71))))) <=> ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69)))))), (((((((((~tptp_fun__E_(s(|'0'|), f(B_69))) | (~iLEQ(suc(B_71), suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~iLEQ(suc(B_70), suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71))))) | (~iLEQ(suc(B_69), suc(B_70)))) <=> (((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69)))) | (~iLEQ(suc(B_69), suc(B_70)))))), rewrite((((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69)))) | (~iLEQ(suc(B_69), suc(B_70)))) <=> ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69))))), (((((((((~tptp_fun__E_(s(|'0'|), f(B_69))) | (~iLEQ(suc(B_71), suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~iLEQ(suc(B_70), suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71))))) | (~iLEQ(suc(B_69), suc(B_70)))) <=> ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69)))))), ((((((((((~tptp_fun__E_(s(|'0'|), f(B_69))) | (~iLEQ(suc(B_71), suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~iLEQ(suc(B_70), suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71))))) | (~iLEQ(suc(B_69), suc(B_70)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69))))) <=> (((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69))))))), rewrite((((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69))))) <=> ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69))))), ((((((((((~tptp_fun__E_(s(|'0'|), f(B_69))) | (~iLEQ(suc(B_71), suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~iLEQ(suc(B_70), suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71))))) | (~iLEQ(suc(B_69), suc(B_70)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69))))) <=> ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69)))))), (((((((((((~tptp_fun__E_(s(|'0'|), f(B_69))) | (~iLEQ(suc(B_71), suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~iLEQ(suc(B_70), suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71))))) | (~iLEQ(suc(B_69), suc(B_70)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69))))) | (~iLEQ(suc(B_72), suc(B_73)))) <=> (((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69)))) | (~iLEQ(suc(B_72), suc(B_73)))))), rewrite((((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69)))) | (~iLEQ(suc(B_72), suc(B_73)))) <=> ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69))))), (((((((((((~tptp_fun__E_(s(|'0'|), f(B_69))) | (~iLEQ(suc(B_71), suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~iLEQ(suc(B_70), suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71))))) | (~iLEQ(suc(B_69), suc(B_70)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69))))) | (~iLEQ(suc(B_72), suc(B_73)))) <=> ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69)))))), ((((((((((((~tptp_fun__E_(s(|'0'|), f(B_69))) | (~iLEQ(suc(B_71), suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~iLEQ(suc(B_70), suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71))))) | (~iLEQ(suc(B_69), suc(B_70)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69))))) | (~iLEQ(suc(B_72), suc(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70))))) <=> (((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70))))))), rewrite((((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70))))) <=> ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69))))), ((((((((((((~tptp_fun__E_(s(|'0'|), f(B_69))) | (~iLEQ(suc(B_71), suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~iLEQ(suc(B_70), suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71))))) | (~iLEQ(suc(B_69), suc(B_70)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69))))) | (~iLEQ(suc(B_72), suc(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70))))) <=> ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69)))))), (((((((((((((~tptp_fun__E_(s(|'0'|), f(B_69))) | (~iLEQ(suc(B_71), suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~iLEQ(suc(B_70), suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71))))) | (~iLEQ(suc(B_69), suc(B_70)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69))))) | (~iLEQ(suc(B_72), suc(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70))))) | (~tptp_fun__E_(s(|'0'|), f(B_73)))) <=> (((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69)))) | (~tptp_fun__E_(s(|'0'|), f(B_73)))))), rewrite((((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69)))) | (~tptp_fun__E_(s(|'0'|), f(B_73)))) <=> ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69))))), (((((((((((((~tptp_fun__E_(s(|'0'|), f(B_69))) | (~iLEQ(suc(B_71), suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~iLEQ(suc(B_70), suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71))))) | (~iLEQ(suc(B_69), suc(B_70)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69))))) | (~iLEQ(suc(B_72), suc(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70))))) | (~tptp_fun__E_(s(|'0'|), f(B_73)))) <=> ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69)))))), ((((((((((((((~tptp_fun__E_(s(|'0'|), f(B_69))) | (~iLEQ(suc(B_71), suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~iLEQ(suc(B_70), suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71))))) | (~iLEQ(suc(B_69), suc(B_70)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69))))) | (~iLEQ(suc(B_72), suc(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70))))) | (~tptp_fun__E_(s(|'0'|), f(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72))))) <=> (((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72))))))), rewrite((((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72))))) <=> ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69))))), ((((((((((((((~tptp_fun__E_(s(|'0'|), f(B_69))) | (~iLEQ(suc(B_71), suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~iLEQ(suc(B_70), suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71))))) | (~iLEQ(suc(B_69), suc(B_70)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69))))) | (~iLEQ(suc(B_72), suc(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70))))) | (~tptp_fun__E_(s(|'0'|), f(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72))))) <=> ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69)))))), (((((((((((((((~tptp_fun__E_(s(|'0'|), f(B_69))) | (~iLEQ(suc(B_71), suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~iLEQ(suc(B_70), suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71))))) | (~iLEQ(suc(B_69), suc(B_70)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69))))) | (~iLEQ(suc(B_72), suc(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70))))) | (~tptp_fun__E_(s(|'0'|), f(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72))))) | (~iLEQ(suc(A_1), suc(B_69)))) <=> (((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69)))) | (~iLEQ(suc(A_1), suc(B_69)))))), rewrite((((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69)))) | (~iLEQ(suc(A_1), suc(B_69)))) <=> ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~iLEQ(suc(A_1), suc(B_69))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69))))), (((((((((((((((~tptp_fun__E_(s(|'0'|), f(B_69))) | (~iLEQ(suc(B_71), suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~iLEQ(suc(B_70), suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71))))) | (~iLEQ(suc(B_69), suc(B_70)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69))))) | (~iLEQ(suc(B_72), suc(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70))))) | (~tptp_fun__E_(s(|'0'|), f(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72))))) | (~iLEQ(suc(A_1), suc(B_69)))) <=> ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~iLEQ(suc(A_1), suc(B_69))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69)))))), ((((((((((((((((~tptp_fun__E_(s(|'0'|), f(B_69))) | (~iLEQ(suc(B_71), suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~iLEQ(suc(B_70), suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71))))) | (~iLEQ(suc(B_69), suc(B_70)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69))))) | (~iLEQ(suc(B_72), suc(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70))))) | (~tptp_fun__E_(s(|'0'|), f(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72))))) | (~iLEQ(suc(A_1), suc(B_69)))) | (~tptp_fun__E_(s(|'0'|), f(B_70)))) <=> (((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~iLEQ(suc(A_1), suc(B_69))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69)))) | (~tptp_fun__E_(s(|'0'|), f(B_70)))))), rewrite((((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~iLEQ(suc(A_1), suc(B_69))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69)))) | (~tptp_fun__E_(s(|'0'|), f(B_70)))) <=> ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(B_70))) | (~iLEQ(suc(A_1), suc(B_69))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69))))), ((((((((((((((((~tptp_fun__E_(s(|'0'|), f(B_69))) | (~iLEQ(suc(B_71), suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~iLEQ(suc(B_70), suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71))))) | (~iLEQ(suc(B_69), suc(B_70)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69))))) | (~iLEQ(suc(B_72), suc(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70))))) | (~tptp_fun__E_(s(|'0'|), f(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72))))) | (~iLEQ(suc(A_1), suc(B_69)))) | (~tptp_fun__E_(s(|'0'|), f(B_70)))) <=> ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(B_70))) | (~iLEQ(suc(A_1), suc(B_69))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69)))))), (((((((((((((((((~tptp_fun__E_(s(|'0'|), f(B_69))) | (~iLEQ(suc(B_71), suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~iLEQ(suc(B_70), suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71))))) | (~iLEQ(suc(B_69), suc(B_70)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69))))) | (~iLEQ(suc(B_72), suc(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70))))) | (~tptp_fun__E_(s(|'0'|), f(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72))))) | (~iLEQ(suc(A_1), suc(B_69)))) | (~tptp_fun__E_(s(|'0'|), f(B_70)))) | (~tptp_fun__E_(s(|'0'|), f(B_72)))) <=> (((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(B_70))) | (~iLEQ(suc(A_1), suc(B_69))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69)))) | (~tptp_fun__E_(s(|'0'|), f(B_72)))))), rewrite((((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(B_70))) | (~iLEQ(suc(A_1), suc(B_69))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69)))) | (~tptp_fun__E_(s(|'0'|), f(B_72)))) <=> ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_70))) | (~iLEQ(suc(A_1), suc(B_69))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69))))), (((((((((((((((((~tptp_fun__E_(s(|'0'|), f(B_69))) | (~iLEQ(suc(B_71), suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~iLEQ(suc(B_70), suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71))))) | (~iLEQ(suc(B_69), suc(B_70)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69))))) | (~iLEQ(suc(B_72), suc(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70))))) | (~tptp_fun__E_(s(|'0'|), f(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72))))) | (~iLEQ(suc(A_1), suc(B_69)))) | (~tptp_fun__E_(s(|'0'|), f(B_70)))) | (~tptp_fun__E_(s(|'0'|), f(B_72)))) <=> ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_70))) | (~iLEQ(suc(A_1), suc(B_69))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69)))))), ((((((((((((((((((~tptp_fun__E_(s(|'0'|), f(B_69))) | (~iLEQ(suc(B_71), suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~iLEQ(suc(B_70), suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71))))) | (~iLEQ(suc(B_69), suc(B_70)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69))))) | (~iLEQ(suc(B_72), suc(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70))))) | (~tptp_fun__E_(s(|'0'|), f(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72))))) | (~iLEQ(suc(A_1), suc(B_69)))) | (~tptp_fun__E_(s(|'0'|), f(B_70)))) | (~tptp_fun__E_(s(|'0'|), f(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_73))))) <=> (((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_70))) | (~iLEQ(suc(A_1), suc(B_69))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_73))))))), rewrite((((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_70))) | (~iLEQ(suc(A_1), suc(B_69))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_73))))) <=> ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_70))) | (~iLEQ(suc(A_1), suc(B_69))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69))))), ((((((((((((((((((~tptp_fun__E_(s(|'0'|), f(B_69))) | (~iLEQ(suc(B_71), suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~iLEQ(suc(B_70), suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71))))) | (~iLEQ(suc(B_69), suc(B_70)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69))))) | (~iLEQ(suc(B_72), suc(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70))))) | (~tptp_fun__E_(s(|'0'|), f(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72))))) | (~iLEQ(suc(A_1), suc(B_69)))) | (~tptp_fun__E_(s(|'0'|), f(B_70)))) | (~tptp_fun__E_(s(|'0'|), f(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_73))))) <=> ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_70))) | (~iLEQ(suc(A_1), suc(B_69))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69))))))),
% 1.34/1.11 inference(bind,[status(th)],[])).
% 1.34/1.11 tff(68,plain,
% 1.34/1.11 (![B_73: $i, B_72: $i, A_1: $i, B_70: $i, B_69: $i, B_71: $i] : (((((((((((((((((~tptp_fun__E_(s(|'0'|), f(B_69))) | (~iLEQ(suc(B_71), suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~iLEQ(suc(B_70), suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71))))) | (~iLEQ(suc(B_69), suc(B_70)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69))))) | (~iLEQ(suc(B_72), suc(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70))))) | (~tptp_fun__E_(s(|'0'|), f(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72))))) | (~iLEQ(suc(A_1), suc(B_69)))) | (~tptp_fun__E_(s(|'0'|), f(B_70)))) | (~tptp_fun__E_(s(|'0'|), f(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_73))))) <=> ![B_73: $i, B_72: $i, A_1: $i, B_70: $i, B_69: $i, B_71: $i] : ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_70))) | (~iLEQ(suc(A_1), suc(B_69))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69))))),
% 1.34/1.11 inference(quant_intro,[status(thm)],[67])).
% 1.34/1.11 tff(69,axiom,(![B_73: $i, B_72: $i, A_1: $i, B_70: $i, B_69: $i, B_71: $i] : (((((((((((((((((~tptp_fun__E_(s(|'0'|), f(B_69))) | (~iLEQ(suc(B_71), suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1))))) | (~iLEQ(suc(B_70), suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71))))) | (~iLEQ(suc(B_69), suc(B_70)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69))))) | (~iLEQ(suc(B_72), suc(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70))))) | (~tptp_fun__E_(s(|'0'|), f(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72))))) | (~iLEQ(suc(A_1), suc(B_69)))) | (~tptp_fun__E_(s(|'0'|), f(B_70)))) | (~tptp_fun__E_(s(|'0'|), f(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_73)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_179')).
% 1.34/1.11 tff(70,plain,
% 1.34/1.11 (![B_73: $i, B_72: $i, A_1: $i, B_70: $i, B_69: $i, B_71: $i] : ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_70))) | (~iLEQ(suc(A_1), suc(B_69))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69))))),
% 1.34/1.11 inference(modus_ponens,[status(thm)],[69, 68])).
% 1.34/1.11 tff(71,plain,
% 1.34/1.11 (![B_73: $i, B_72: $i, A_1: $i, B_70: $i, B_69: $i, B_71: $i] : ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_70))) | (~iLEQ(suc(A_1), suc(B_69))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69))))),
% 1.34/1.11 inference(modus_ponens,[status(thm)],[70, 66])).
% 1.34/1.11 tff(72,plain,(
% 1.34/1.11 ![B_73: $i, B_72: $i, A_1: $i, B_70: $i, B_69: $i, B_71: $i] : ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_70))) | (~iLEQ(suc(A_1), suc(B_69))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69))))),
% 1.34/1.11 inference(skolemize,[status(sab)],[71])).
% 1.34/1.11 tff(73,plain,
% 1.34/1.11 (![B_73: $i, B_72: $i, A_1: $i, B_70: $i, B_69: $i, B_71: $i] : ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_70))) | (~iLEQ(suc(A_1), suc(B_69))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69))))),
% 1.34/1.11 inference(modus_ponens,[status(thm)],[72, 65])).
% 1.34/1.11 tff(74,plain,
% 1.34/1.11 (((~![B_73: $i, B_72: $i, A_1: $i, B_70: $i, B_69: $i, B_71: $i] : ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_70))) | (~iLEQ(suc(A_1), suc(B_69))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69))))) | ((~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(suc(z)), suc(suc(z)))))) <=> ((~![B_73: $i, B_72: $i, A_1: $i, B_70: $i, B_69: $i, B_71: $i] : ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_70))) | (~iLEQ(suc(A_1), suc(B_69))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(suc(z)), suc(suc(z)))))),
% 1.34/1.11 inference(rewrite,[status(thm)],[])).
% 1.34/1.11 tff(75,plain,
% 1.34/1.11 (((~tptp_fun__E_(s(|'0'|), f(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(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(z))))) | (~iLEQ(suc(suc(z)), suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(suc(z)), suc(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)))) | (~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))))) | (~iLEQ(suc(suc(z)), suc(suc(z)))))),
% 1.34/1.11 inference(rewrite,[status(thm)],[])).
% 1.34/1.11 tff(76,plain,
% 1.34/1.11 (((~![B_73: $i, B_72: $i, A_1: $i, B_70: $i, B_69: $i, B_71: $i] : ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_70))) | (~iLEQ(suc(A_1), suc(B_69))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69))))) | ((~tptp_fun__E_(s(|'0'|), f(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(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(z))))) | (~iLEQ(suc(suc(z)), suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(suc(z)), suc(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)))) | (~iLEQ(suc(suc(z)), suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))))) <=> ((~![B_73: $i, B_72: $i, A_1: $i, B_70: $i, B_69: $i, B_71: $i] : ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_70))) | (~iLEQ(suc(A_1), suc(B_69))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69))))) | ((~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(suc(z)), suc(suc(z))))))),
% 1.34/1.11 inference(monotonicity,[status(thm)],[75])).
% 1.34/1.11 tff(77,plain,
% 1.34/1.11 (((~![B_73: $i, B_72: $i, A_1: $i, B_70: $i, B_69: $i, B_71: $i] : ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_70))) | (~iLEQ(suc(A_1), suc(B_69))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69))))) | ((~tptp_fun__E_(s(|'0'|), f(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(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(z))))) | (~iLEQ(suc(suc(z)), suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(suc(z)), suc(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)))) | (~iLEQ(suc(suc(z)), suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))))) <=> ((~![B_73: $i, B_72: $i, A_1: $i, B_70: $i, B_69: $i, B_71: $i] : ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_70))) | (~iLEQ(suc(A_1), suc(B_69))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(suc(z)), suc(suc(z)))))),
% 1.34/1.11 inference(transitivity,[status(thm)],[76, 74])).
% 1.34/1.11 tff(78,plain,
% 1.34/1.11 ((~![B_73: $i, B_72: $i, A_1: $i, B_70: $i, B_69: $i, B_71: $i] : ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_70))) | (~iLEQ(suc(A_1), suc(B_69))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69))))) | ((~tptp_fun__E_(s(|'0'|), f(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(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(z))))) | (~iLEQ(suc(suc(z)), suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(suc(z)), suc(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)))) | (~iLEQ(suc(suc(z)), suc(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))))),
% 1.34/1.11 inference(quant_inst,[status(thm)],[])).
% 1.34/1.11 tff(79,plain,
% 1.34/1.11 ((~![B_73: $i, B_72: $i, A_1: $i, B_70: $i, B_69: $i, B_71: $i] : ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_70))) | (~iLEQ(suc(A_1), suc(B_69))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69))))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(suc(z)), suc(suc(z))))),
% 1.34/1.11 inference(modus_ponens,[status(thm)],[78, 77])).
% 1.34/1.11 tff(80,plain,
% 1.34/1.11 ((~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(suc(z))))) | (~iLEQ(suc(suc(z)), suc(suc(z))))),
% 1.34/1.11 inference(unit_resolution,[status(thm)],[79, 73])).
% 1.34/1.11 tff(81,plain,
% 1.34/1.11 ($false),
% 1.34/1.11 inference(unit_resolution,[status(thm)],[80, 63, 45, 28])).
% 1.34/1.11 tff(82,plain,(tptp_fun__LE_(f(suc(z)), s(|'0'|))), inference(lemma,lemma(discharge,[]))).
% 1.34/1.11 tff(83,plain,
% 1.34/1.11 (^[B_93: $i] : refl((tptp_fun__LE_(f(B_93), |'0'|) | (~tptp_fun__LE_(f(suc(B_93)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_93)))) <=> (tptp_fun__LE_(f(B_93), |'0'|) | (~tptp_fun__LE_(f(suc(B_93)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_93)))))),
% 1.34/1.11 inference(bind,[status(th)],[])).
% 1.34/1.11 tff(84,plain,
% 1.34/1.11 (![B_93: $i] : (tptp_fun__LE_(f(B_93), |'0'|) | (~tptp_fun__LE_(f(suc(B_93)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_93)))) <=> ![B_93: $i] : (tptp_fun__LE_(f(B_93), |'0'|) | (~tptp_fun__LE_(f(suc(B_93)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_93))))),
% 1.34/1.11 inference(quant_intro,[status(thm)],[83])).
% 1.34/1.11 tff(85,plain,
% 1.34/1.11 (![B_93: $i] : (tptp_fun__LE_(f(B_93), |'0'|) | (~tptp_fun__LE_(f(suc(B_93)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_93)))) <=> ![B_93: $i] : (tptp_fun__LE_(f(B_93), |'0'|) | (~tptp_fun__LE_(f(suc(B_93)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_93))))),
% 1.34/1.11 inference(rewrite,[status(thm)],[])).
% 1.34/1.11 tff(86,plain,
% 1.34/1.11 (^[B_93: $i] : rewrite((((~tptp_fun__LE_(f(suc(B_93)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_93)))) | tptp_fun__LE_(f(B_93), |'0'|)) <=> (tptp_fun__LE_(f(B_93), |'0'|) | (~tptp_fun__LE_(f(suc(B_93)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_93)))))),
% 1.34/1.11 inference(bind,[status(th)],[])).
% 1.34/1.11 tff(87,plain,
% 1.34/1.11 (![B_93: $i] : (((~tptp_fun__LE_(f(suc(B_93)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_93)))) | tptp_fun__LE_(f(B_93), |'0'|)) <=> ![B_93: $i] : (tptp_fun__LE_(f(B_93), |'0'|) | (~tptp_fun__LE_(f(suc(B_93)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_93))))),
% 1.34/1.11 inference(quant_intro,[status(thm)],[86])).
% 1.34/1.11 tff(88,axiom,(![B_93: $i] : (((~tptp_fun__LE_(f(suc(B_93)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_93)))) | tptp_fun__LE_(f(B_93), |'0'|))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_123')).
% 1.34/1.11 tff(89,plain,
% 1.34/1.11 (![B_93: $i] : (tptp_fun__LE_(f(B_93), |'0'|) | (~tptp_fun__LE_(f(suc(B_93)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_93))))),
% 1.34/1.11 inference(modus_ponens,[status(thm)],[88, 87])).
% 1.34/1.11 tff(90,plain,
% 1.34/1.11 (![B_93: $i] : (tptp_fun__LE_(f(B_93), |'0'|) | (~tptp_fun__LE_(f(suc(B_93)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_93))))),
% 1.34/1.11 inference(modus_ponens,[status(thm)],[89, 85])).
% 1.34/1.11 tff(91,plain,(
% 1.34/1.11 ![B_93: $i] : (tptp_fun__LE_(f(B_93), |'0'|) | (~tptp_fun__LE_(f(suc(B_93)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_93))))),
% 1.34/1.11 inference(skolemize,[status(sab)],[90])).
% 1.34/1.11 tff(92,plain,
% 1.34/1.11 (![B_93: $i] : (tptp_fun__LE_(f(B_93), |'0'|) | (~tptp_fun__LE_(f(suc(B_93)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_93))))),
% 1.34/1.11 inference(modus_ponens,[status(thm)],[91, 84])).
% 1.34/1.11 tff(93,plain,
% 1.34/1.11 ((~tptp_fun__LE_(f(z), |'0'|)) <=> (~tptp_fun__LE_(f(z), |'0'|))),
% 1.34/1.11 inference(rewrite,[status(thm)],[])).
% 1.34/1.11 tff(94,axiom,(~tptp_fun__LE_(f(z), |'0'|)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_98')).
% 1.34/1.11 tff(95,plain,
% 1.34/1.11 (~tptp_fun__LE_(f(z), |'0'|)),
% 1.34/1.11 inference(modus_ponens,[status(thm)],[94, 93])).
% 1.34/1.11 tff(96,plain,
% 1.34/1.11 (((~![B_93: $i] : (tptp_fun__LE_(f(B_93), |'0'|) | (~tptp_fun__LE_(f(suc(B_93)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_93))))) | (tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(suc(z)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(z))))) <=> ((~![B_93: $i] : (tptp_fun__LE_(f(B_93), |'0'|) | (~tptp_fun__LE_(f(suc(B_93)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_93))))) | tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(suc(z)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(z))))),
% 1.34/1.11 inference(rewrite,[status(thm)],[])).
% 1.34/1.11 tff(97,plain,
% 1.34/1.11 ((~![B_93: $i] : (tptp_fun__LE_(f(B_93), |'0'|) | (~tptp_fun__LE_(f(suc(B_93)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_93))))) | (tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(suc(z)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(z))))),
% 1.34/1.11 inference(quant_inst,[status(thm)],[])).
% 1.34/1.11 tff(98,plain,
% 1.34/1.11 ((~![B_93: $i] : (tptp_fun__LE_(f(B_93), |'0'|) | (~tptp_fun__LE_(f(suc(B_93)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_93))))) | tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(suc(z)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(z)))),
% 1.34/1.11 inference(modus_ponens,[status(thm)],[97, 96])).
% 1.34/1.11 tff(99,plain,
% 1.34/1.11 ((~tptp_fun__LE_(f(suc(z)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(z)))),
% 1.34/1.11 inference(unit_resolution,[status(thm)],[98, 95, 92])).
% 1.34/1.11 tff(100,plain,
% 1.34/1.11 (tptp_fun__E_(|'0'|, f(suc(z)))),
% 1.34/1.11 inference(unit_resolution,[status(thm)],[99, 82])).
% 1.34/1.11 tff(101,plain,
% 1.34/1.11 (^[A_2: $i] : refl((iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) <=> (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))))),
% 1.34/1.11 inference(bind,[status(th)],[])).
% 1.34/1.11 tff(102,plain,
% 1.34/1.11 (![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) <=> ![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))),
% 1.34/1.11 inference(quant_intro,[status(thm)],[101])).
% 1.34/1.11 tff(103,plain,
% 1.34/1.11 (![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) <=> ![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))),
% 1.34/1.11 inference(rewrite,[status(thm)],[])).
% 1.34/1.11 tff(104,plain,
% 1.34/1.11 (^[A_2: $i] : rewrite((((~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | iLEQ(suc(A_2), suc(A_2))) <=> (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))))),
% 1.34/1.11 inference(bind,[status(th)],[])).
% 1.34/1.11 tff(105,plain,
% 1.34/1.11 (![A_2: $i] : (((~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | iLEQ(suc(A_2), suc(A_2))) <=> ![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))),
% 1.34/1.11 inference(quant_intro,[status(thm)],[104])).
% 1.34/1.11 tff(106,axiom,(![A_2: $i] : (((~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | iLEQ(suc(A_2), suc(A_2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_12')).
% 1.34/1.11 tff(107,plain,
% 1.34/1.11 (![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))),
% 1.34/1.11 inference(modus_ponens,[status(thm)],[106, 105])).
% 1.34/1.11 tff(108,plain,
% 1.34/1.11 (![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))),
% 1.34/1.11 inference(modus_ponens,[status(thm)],[107, 103])).
% 1.34/1.11 tff(109,plain,(
% 1.34/1.11 ![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))),
% 1.34/1.11 inference(skolemize,[status(sab)],[108])).
% 1.34/1.11 tff(110,plain,
% 1.34/1.11 (![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))),
% 1.34/1.11 inference(modus_ponens,[status(thm)],[109, 102])).
% 1.34/1.11 tff(111,plain,
% 1.34/1.11 (((~![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))) | (iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))))) <=> ((~![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))) | iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))))),
% 1.34/1.11 inference(rewrite,[status(thm)],[])).
% 1.34/1.11 tff(112,plain,
% 1.34/1.11 ((~![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))) | (iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))))),
% 1.34/1.11 inference(quant_inst,[status(thm)],[])).
% 1.34/1.11 tff(113,plain,
% 1.34/1.11 ((~![A_2: $i] : (iLEQ(suc(A_2), suc(A_2)) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))))) | iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z))))),
% 1.34/1.11 inference(modus_ponens,[status(thm)],[112, 111])).
% 1.34/1.11 tff(114,plain,
% 1.34/1.11 (iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z))))),
% 1.34/1.11 inference(unit_resolution,[status(thm)],[113, 110])).
% 1.34/1.11 tff(115,plain,
% 1.34/1.11 (iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(|'0'|, f(z)))),
% 1.34/1.11 inference(unit_resolution,[status(thm)],[114, 100])).
% 1.34/1.11 tff(116,plain,
% 1.34/1.11 (iLEQ(suc(z), suc(z))),
% 1.34/1.11 inference(unit_resolution,[status(thm)],[115, 1])).
% 1.34/1.11 tff(117,plain,
% 1.34/1.11 (^[B_98: $i, B_96: $i, B_95: $i, A_2: $i, B_94: $i, B_97: $i] : refl(((~tptp_fun__E_(|'0'|, f(B_95))) | (~tptp_fun__E_(|'0'|, f(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_95)))) | (~iLEQ(suc(A_2), suc(B_94))) | (~tptp_fun__E_(|'0'|, f(B_94))) | (~tptp_fun__E_(|'0'|, f(suc(B_98)))) | (~iLEQ(suc(B_94), suc(B_95))) | (~tptp_fun__E_(|'0'|, f(B_96))) | (~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97)))) <=> ((~tptp_fun__E_(|'0'|, f(B_95))) | (~tptp_fun__E_(|'0'|, f(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_95)))) | (~iLEQ(suc(A_2), suc(B_94))) | (~tptp_fun__E_(|'0'|, f(B_94))) | (~tptp_fun__E_(|'0'|, f(suc(B_98)))) | (~iLEQ(suc(B_94), suc(B_95))) | (~tptp_fun__E_(|'0'|, f(B_96))) | (~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97)))))),
% 1.34/1.12 inference(bind,[status(th)],[])).
% 1.34/1.12 tff(118,plain,
% 1.34/1.12 (![B_98: $i, B_96: $i, B_95: $i, A_2: $i, B_94: $i, B_97: $i] : ((~tptp_fun__E_(|'0'|, f(B_95))) | (~tptp_fun__E_(|'0'|, f(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_95)))) | (~iLEQ(suc(A_2), suc(B_94))) | (~tptp_fun__E_(|'0'|, f(B_94))) | (~tptp_fun__E_(|'0'|, f(suc(B_98)))) | (~iLEQ(suc(B_94), suc(B_95))) | (~tptp_fun__E_(|'0'|, f(B_96))) | (~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97)))) <=> ![B_98: $i, B_96: $i, B_95: $i, A_2: $i, B_94: $i, B_97: $i] : ((~tptp_fun__E_(|'0'|, f(B_95))) | (~tptp_fun__E_(|'0'|, f(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_95)))) | (~iLEQ(suc(A_2), suc(B_94))) | (~tptp_fun__E_(|'0'|, f(B_94))) | (~tptp_fun__E_(|'0'|, f(suc(B_98)))) | (~iLEQ(suc(B_94), suc(B_95))) | (~tptp_fun__E_(|'0'|, f(B_96))) | (~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97))))),
% 1.34/1.12 inference(quant_intro,[status(thm)],[117])).
% 1.34/1.12 tff(119,plain,
% 1.34/1.12 (![B_98: $i, B_96: $i, B_95: $i, A_2: $i, B_94: $i, B_97: $i] : ((~tptp_fun__E_(|'0'|, f(B_95))) | (~tptp_fun__E_(|'0'|, f(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_95)))) | (~iLEQ(suc(A_2), suc(B_94))) | (~tptp_fun__E_(|'0'|, f(B_94))) | (~tptp_fun__E_(|'0'|, f(suc(B_98)))) | (~iLEQ(suc(B_94), suc(B_95))) | (~tptp_fun__E_(|'0'|, f(B_96))) | (~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97)))) <=> ![B_98: $i, B_96: $i, B_95: $i, A_2: $i, B_94: $i, B_97: $i] : ((~tptp_fun__E_(|'0'|, f(B_95))) | (~tptp_fun__E_(|'0'|, f(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_95)))) | (~iLEQ(suc(A_2), suc(B_94))) | (~tptp_fun__E_(|'0'|, f(B_94))) | (~tptp_fun__E_(|'0'|, f(suc(B_98)))) | (~iLEQ(suc(B_94), suc(B_95))) | (~tptp_fun__E_(|'0'|, f(B_96))) | (~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97))))),
% 1.34/1.12 inference(rewrite,[status(thm)],[])).
% 1.34/1.12 tff(120,plain,
% 1.34/1.12 (^[B_98: $i, B_96: $i, B_95: $i, A_2: $i, B_94: $i, B_97: $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(rewrite((((~iLEQ(suc(B_96), suc(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(B_96))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97))))), (((((~iLEQ(suc(B_96), suc(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(B_96))))) | (~iLEQ(suc(B_97), suc(B_98)))) <=> (((~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98)))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98)))) <=> ((~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97))))), (((((~iLEQ(suc(B_96), suc(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(B_96))))) | (~iLEQ(suc(B_97), suc(B_98)))) <=> ((~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97)))))), ((((((~iLEQ(suc(B_96), suc(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(B_96))))) | (~iLEQ(suc(B_97), suc(B_98)))) | (~tptp_fun__E_(|'0'|, f(suc(B_97))))) <=> (((~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97)))) | (~tptp_fun__E_(|'0'|, f(suc(B_97))))))), rewrite((((~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97)))) | (~tptp_fun__E_(|'0'|, f(suc(B_97))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97))))), ((((((~iLEQ(suc(B_96), suc(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(B_96))))) | (~iLEQ(suc(B_97), suc(B_98)))) | (~tptp_fun__E_(|'0'|, f(suc(B_97))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97)))))), (((((((~iLEQ(suc(B_96), suc(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(B_96))))) | (~iLEQ(suc(B_97), suc(B_98)))) | (~tptp_fun__E_(|'0'|, f(suc(B_97))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) <=> (((~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97)))) | (~tptp_fun__E_(|'0'|, f(A_2)))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97)))) | (~tptp_fun__E_(|'0'|, f(A_2)))) <=> ((~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97))))), (((((((~iLEQ(suc(B_96), suc(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(B_96))))) | (~iLEQ(suc(B_97), suc(B_98)))) | (~tptp_fun__E_(|'0'|, f(suc(B_97))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) <=> ((~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97)))))), ((((((((~iLEQ(suc(B_96), suc(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(B_96))))) | (~iLEQ(suc(B_97), suc(B_98)))) | (~tptp_fun__E_(|'0'|, f(suc(B_97))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(B_94))))) <=> (((~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97)))) | (~tptp_fun__E_(|'0'|, f(suc(B_94))))))), rewrite((((~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97)))) | (~tptp_fun__E_(|'0'|, f(suc(B_94))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97))))), ((((((((~iLEQ(suc(B_96), suc(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(B_96))))) | (~iLEQ(suc(B_97), suc(B_98)))) | (~tptp_fun__E_(|'0'|, f(suc(B_97))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(B_94))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97)))))), (((((((((~iLEQ(suc(B_96), suc(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(B_96))))) | (~iLEQ(suc(B_97), suc(B_98)))) | (~tptp_fun__E_(|'0'|, f(suc(B_97))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(B_94))))) | (~tptp_fun__E_(|'0'|, f(B_97)))) <=> (((~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97)))) | (~tptp_fun__E_(|'0'|, f(B_97)))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97)))) | (~tptp_fun__E_(|'0'|, f(B_97)))) <=> ((~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97))))), (((((((((~iLEQ(suc(B_96), suc(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(B_96))))) | (~iLEQ(suc(B_97), suc(B_98)))) | (~tptp_fun__E_(|'0'|, f(suc(B_97))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(B_94))))) | (~tptp_fun__E_(|'0'|, f(B_97)))) <=> ((~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97)))))), ((((((((((~iLEQ(suc(B_96), suc(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(B_96))))) | (~iLEQ(suc(B_97), suc(B_98)))) | (~tptp_fun__E_(|'0'|, f(suc(B_97))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(B_94))))) | (~tptp_fun__E_(|'0'|, f(B_97)))) | (~iLEQ(suc(B_95), suc(B_96)))) <=> (((~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97)))) | (~iLEQ(suc(B_95), suc(B_96)))))), rewrite((((~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97)))) | (~iLEQ(suc(B_95), suc(B_96)))) <=> ((~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97))))), ((((((((((~iLEQ(suc(B_96), suc(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(B_96))))) | (~iLEQ(suc(B_97), suc(B_98)))) | (~tptp_fun__E_(|'0'|, f(suc(B_97))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(B_94))))) | (~tptp_fun__E_(|'0'|, f(B_97)))) | (~iLEQ(suc(B_95), suc(B_96)))) <=> ((~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97)))))), (((((((((((~iLEQ(suc(B_96), suc(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(B_96))))) | (~iLEQ(suc(B_97), suc(B_98)))) | (~tptp_fun__E_(|'0'|, f(suc(B_97))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(B_94))))) | (~tptp_fun__E_(|'0'|, f(B_97)))) | (~iLEQ(suc(B_95), suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(B_96)))) <=> (((~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97)))) | (~tptp_fun__E_(|'0'|, f(B_96)))))), rewrite((((~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97)))) | (~tptp_fun__E_(|'0'|, f(B_96)))) <=> ((~tptp_fun__E_(|'0'|, f(B_96))) | (~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97))))), (((((((((((~iLEQ(suc(B_96), suc(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(B_96))))) | (~iLEQ(suc(B_97), suc(B_98)))) | (~tptp_fun__E_(|'0'|, f(suc(B_97))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(B_94))))) | (~tptp_fun__E_(|'0'|, f(B_97)))) | (~iLEQ(suc(B_95), suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(B_96)))) <=> ((~tptp_fun__E_(|'0'|, f(B_96))) | (~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97)))))), ((((((((((((~iLEQ(suc(B_96), suc(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(B_96))))) | (~iLEQ(suc(B_97), suc(B_98)))) | (~tptp_fun__E_(|'0'|, f(suc(B_97))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(B_94))))) | (~tptp_fun__E_(|'0'|, f(B_97)))) | (~iLEQ(suc(B_95), suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(B_96)))) | (~iLEQ(suc(B_94), suc(B_95)))) <=> (((~tptp_fun__E_(|'0'|, f(B_96))) | (~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97)))) | (~iLEQ(suc(B_94), suc(B_95)))))), rewrite((((~tptp_fun__E_(|'0'|, f(B_96))) | (~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97)))) | (~iLEQ(suc(B_94), suc(B_95)))) <=> ((~iLEQ(suc(B_94), suc(B_95))) | (~tptp_fun__E_(|'0'|, f(B_96))) | (~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97))))), ((((((((((((~iLEQ(suc(B_96), suc(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(B_96))))) | (~iLEQ(suc(B_97), suc(B_98)))) | (~tptp_fun__E_(|'0'|, f(suc(B_97))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(B_94))))) | (~tptp_fun__E_(|'0'|, f(B_97)))) | (~iLEQ(suc(B_95), suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(B_96)))) | (~iLEQ(suc(B_94), suc(B_95)))) <=> ((~iLEQ(suc(B_94), suc(B_95))) | (~tptp_fun__E_(|'0'|, f(B_96))) | (~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97)))))), (((((((((((((~iLEQ(suc(B_96), suc(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(B_96))))) | (~iLEQ(suc(B_97), suc(B_98)))) | (~tptp_fun__E_(|'0'|, f(suc(B_97))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(B_94))))) | (~tptp_fun__E_(|'0'|, f(B_97)))) | (~iLEQ(suc(B_95), suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(B_96)))) | (~iLEQ(suc(B_94), suc(B_95)))) | (~tptp_fun__E_(|'0'|, f(suc(B_98))))) <=> (((~iLEQ(suc(B_94), suc(B_95))) | (~tptp_fun__E_(|'0'|, f(B_96))) | (~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97)))) | (~tptp_fun__E_(|'0'|, f(suc(B_98))))))), rewrite((((~iLEQ(suc(B_94), suc(B_95))) | (~tptp_fun__E_(|'0'|, f(B_96))) | (~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97)))) | (~tptp_fun__E_(|'0'|, f(suc(B_98))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_98)))) | (~iLEQ(suc(B_94), suc(B_95))) | (~tptp_fun__E_(|'0'|, f(B_96))) | (~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97))))), (((((((((((((~iLEQ(suc(B_96), suc(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(B_96))))) | (~iLEQ(suc(B_97), suc(B_98)))) | (~tptp_fun__E_(|'0'|, f(suc(B_97))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(B_94))))) | (~tptp_fun__E_(|'0'|, f(B_97)))) | (~iLEQ(suc(B_95), suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(B_96)))) | (~iLEQ(suc(B_94), suc(B_95)))) | (~tptp_fun__E_(|'0'|, f(suc(B_98))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_98)))) | (~iLEQ(suc(B_94), suc(B_95))) | (~tptp_fun__E_(|'0'|, f(B_96))) | (~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97)))))), ((((((((((((((~iLEQ(suc(B_96), suc(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(B_96))))) | (~iLEQ(suc(B_97), suc(B_98)))) | (~tptp_fun__E_(|'0'|, f(suc(B_97))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(B_94))))) | (~tptp_fun__E_(|'0'|, f(B_97)))) | (~iLEQ(suc(B_95), suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(B_96)))) | (~iLEQ(suc(B_94), suc(B_95)))) | (~tptp_fun__E_(|'0'|, f(suc(B_98))))) | (~tptp_fun__E_(|'0'|, f(B_94)))) <=> (((~tptp_fun__E_(|'0'|, f(suc(B_98)))) | (~iLEQ(suc(B_94), suc(B_95))) | (~tptp_fun__E_(|'0'|, f(B_96))) | (~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97)))) | (~tptp_fun__E_(|'0'|, f(B_94)))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(B_98)))) | (~iLEQ(suc(B_94), suc(B_95))) | (~tptp_fun__E_(|'0'|, f(B_96))) | (~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97)))) | (~tptp_fun__E_(|'0'|, f(B_94)))) <=> ((~tptp_fun__E_(|'0'|, f(B_94))) | (~tptp_fun__E_(|'0'|, f(suc(B_98)))) | (~iLEQ(suc(B_94), suc(B_95))) | (~tptp_fun__E_(|'0'|, f(B_96))) | (~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97))))), ((((((((((((((~iLEQ(suc(B_96), suc(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(B_96))))) | (~iLEQ(suc(B_97), suc(B_98)))) | (~tptp_fun__E_(|'0'|, f(suc(B_97))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(B_94))))) | (~tptp_fun__E_(|'0'|, f(B_97)))) | (~iLEQ(suc(B_95), suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(B_96)))) | (~iLEQ(suc(B_94), suc(B_95)))) | (~tptp_fun__E_(|'0'|, f(suc(B_98))))) | (~tptp_fun__E_(|'0'|, f(B_94)))) <=> ((~tptp_fun__E_(|'0'|, f(B_94))) | (~tptp_fun__E_(|'0'|, f(suc(B_98)))) | (~iLEQ(suc(B_94), suc(B_95))) | (~tptp_fun__E_(|'0'|, f(B_96))) | (~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97)))))), (((((((((((((((~iLEQ(suc(B_96), suc(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(B_96))))) | (~iLEQ(suc(B_97), suc(B_98)))) | (~tptp_fun__E_(|'0'|, f(suc(B_97))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(B_94))))) | (~tptp_fun__E_(|'0'|, f(B_97)))) | (~iLEQ(suc(B_95), suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(B_96)))) | (~iLEQ(suc(B_94), suc(B_95)))) | (~tptp_fun__E_(|'0'|, f(suc(B_98))))) | (~tptp_fun__E_(|'0'|, f(B_94)))) | (~iLEQ(suc(A_2), suc(B_94)))) <=> (((~tptp_fun__E_(|'0'|, f(B_94))) | (~tptp_fun__E_(|'0'|, f(suc(B_98)))) | (~iLEQ(suc(B_94), suc(B_95))) | (~tptp_fun__E_(|'0'|, f(B_96))) | (~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97)))) | (~iLEQ(suc(A_2), suc(B_94)))))), rewrite((((~tptp_fun__E_(|'0'|, f(B_94))) | (~tptp_fun__E_(|'0'|, f(suc(B_98)))) | (~iLEQ(suc(B_94), suc(B_95))) | (~tptp_fun__E_(|'0'|, f(B_96))) | (~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97)))) | (~iLEQ(suc(A_2), suc(B_94)))) <=> ((~iLEQ(suc(A_2), suc(B_94))) | (~tptp_fun__E_(|'0'|, f(B_94))) | (~tptp_fun__E_(|'0'|, f(suc(B_98)))) | (~iLEQ(suc(B_94), suc(B_95))) | (~tptp_fun__E_(|'0'|, f(B_96))) | (~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97))))), (((((((((((((((~iLEQ(suc(B_96), suc(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(B_96))))) | (~iLEQ(suc(B_97), suc(B_98)))) | (~tptp_fun__E_(|'0'|, f(suc(B_97))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(B_94))))) | (~tptp_fun__E_(|'0'|, f(B_97)))) | (~iLEQ(suc(B_95), suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(B_96)))) | (~iLEQ(suc(B_94), suc(B_95)))) | (~tptp_fun__E_(|'0'|, f(suc(B_98))))) | (~tptp_fun__E_(|'0'|, f(B_94)))) | (~iLEQ(suc(A_2), suc(B_94)))) <=> ((~iLEQ(suc(A_2), suc(B_94))) | (~tptp_fun__E_(|'0'|, f(B_94))) | (~tptp_fun__E_(|'0'|, f(suc(B_98)))) | (~iLEQ(suc(B_94), suc(B_95))) | (~tptp_fun__E_(|'0'|, f(B_96))) | (~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97)))))), ((((((((((((((((~iLEQ(suc(B_96), suc(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(B_96))))) | (~iLEQ(suc(B_97), suc(B_98)))) | (~tptp_fun__E_(|'0'|, f(suc(B_97))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(B_94))))) | (~tptp_fun__E_(|'0'|, f(B_97)))) | (~iLEQ(suc(B_95), suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(B_96)))) | (~iLEQ(suc(B_94), suc(B_95)))) | (~tptp_fun__E_(|'0'|, f(suc(B_98))))) | (~tptp_fun__E_(|'0'|, f(B_94)))) | (~iLEQ(suc(A_2), suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(suc(B_95))))) <=> (((~iLEQ(suc(A_2), suc(B_94))) | (~tptp_fun__E_(|'0'|, f(B_94))) | (~tptp_fun__E_(|'0'|, f(suc(B_98)))) | (~iLEQ(suc(B_94), suc(B_95))) | (~tptp_fun__E_(|'0'|, f(B_96))) | (~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97)))) | (~tptp_fun__E_(|'0'|, f(suc(B_95))))))), rewrite((((~iLEQ(suc(A_2), suc(B_94))) | (~tptp_fun__E_(|'0'|, f(B_94))) | (~tptp_fun__E_(|'0'|, f(suc(B_98)))) | (~iLEQ(suc(B_94), suc(B_95))) | (~tptp_fun__E_(|'0'|, f(B_96))) | (~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97)))) | (~tptp_fun__E_(|'0'|, f(suc(B_95))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_95)))) | (~iLEQ(suc(A_2), suc(B_94))) | (~tptp_fun__E_(|'0'|, f(B_94))) | (~tptp_fun__E_(|'0'|, f(suc(B_98)))) | (~iLEQ(suc(B_94), suc(B_95))) | (~tptp_fun__E_(|'0'|, f(B_96))) | (~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97))))), ((((((((((((((((~iLEQ(suc(B_96), suc(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(B_96))))) | (~iLEQ(suc(B_97), suc(B_98)))) | (~tptp_fun__E_(|'0'|, f(suc(B_97))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(B_94))))) | (~tptp_fun__E_(|'0'|, f(B_97)))) | (~iLEQ(suc(B_95), suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(B_96)))) | (~iLEQ(suc(B_94), suc(B_95)))) | (~tptp_fun__E_(|'0'|, f(suc(B_98))))) | (~tptp_fun__E_(|'0'|, f(B_94)))) | (~iLEQ(suc(A_2), suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(suc(B_95))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_95)))) | (~iLEQ(suc(A_2), suc(B_94))) | (~tptp_fun__E_(|'0'|, f(B_94))) | (~tptp_fun__E_(|'0'|, f(suc(B_98)))) | (~iLEQ(suc(B_94), suc(B_95))) | (~tptp_fun__E_(|'0'|, f(B_96))) | (~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97)))))), (((((((((((((((((~iLEQ(suc(B_96), suc(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(B_96))))) | (~iLEQ(suc(B_97), suc(B_98)))) | (~tptp_fun__E_(|'0'|, f(suc(B_97))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(B_94))))) | (~tptp_fun__E_(|'0'|, f(B_97)))) | (~iLEQ(suc(B_95), suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(B_96)))) | (~iLEQ(suc(B_94), suc(B_95)))) | (~tptp_fun__E_(|'0'|, f(suc(B_98))))) | (~tptp_fun__E_(|'0'|, f(B_94)))) | (~iLEQ(suc(A_2), suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(suc(B_95))))) | (~tptp_fun__E_(|'0'|, f(B_98)))) <=> (((~tptp_fun__E_(|'0'|, f(suc(B_95)))) | (~iLEQ(suc(A_2), suc(B_94))) | (~tptp_fun__E_(|'0'|, f(B_94))) | (~tptp_fun__E_(|'0'|, f(suc(B_98)))) | (~iLEQ(suc(B_94), suc(B_95))) | (~tptp_fun__E_(|'0'|, f(B_96))) | (~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97)))) | (~tptp_fun__E_(|'0'|, f(B_98)))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(B_95)))) | (~iLEQ(suc(A_2), suc(B_94))) | (~tptp_fun__E_(|'0'|, f(B_94))) | (~tptp_fun__E_(|'0'|, f(suc(B_98)))) | (~iLEQ(suc(B_94), suc(B_95))) | (~tptp_fun__E_(|'0'|, f(B_96))) | (~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97)))) | (~tptp_fun__E_(|'0'|, f(B_98)))) <=> ((~tptp_fun__E_(|'0'|, f(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_95)))) | (~iLEQ(suc(A_2), suc(B_94))) | (~tptp_fun__E_(|'0'|, f(B_94))) | (~tptp_fun__E_(|'0'|, f(suc(B_98)))) | (~iLEQ(suc(B_94), suc(B_95))) | (~tptp_fun__E_(|'0'|, f(B_96))) | (~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97))))), (((((((((((((((((~iLEQ(suc(B_96), suc(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(B_96))))) | (~iLEQ(suc(B_97), suc(B_98)))) | (~tptp_fun__E_(|'0'|, f(suc(B_97))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(B_94))))) | (~tptp_fun__E_(|'0'|, f(B_97)))) | (~iLEQ(suc(B_95), suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(B_96)))) | (~iLEQ(suc(B_94), suc(B_95)))) | (~tptp_fun__E_(|'0'|, f(suc(B_98))))) | (~tptp_fun__E_(|'0'|, f(B_94)))) | (~iLEQ(suc(A_2), suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(suc(B_95))))) | (~tptp_fun__E_(|'0'|, f(B_98)))) <=> ((~tptp_fun__E_(|'0'|, f(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_95)))) | (~iLEQ(suc(A_2), suc(B_94))) | (~tptp_fun__E_(|'0'|, f(B_94))) | (~tptp_fun__E_(|'0'|, f(suc(B_98)))) | (~iLEQ(suc(B_94), suc(B_95))) | (~tptp_fun__E_(|'0'|, f(B_96))) | (~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97)))))), ((((((((((((((((((~iLEQ(suc(B_96), suc(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(B_96))))) | (~iLEQ(suc(B_97), suc(B_98)))) | (~tptp_fun__E_(|'0'|, f(suc(B_97))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(B_94))))) | (~tptp_fun__E_(|'0'|, f(B_97)))) | (~iLEQ(suc(B_95), suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(B_96)))) | (~iLEQ(suc(B_94), suc(B_95)))) | (~tptp_fun__E_(|'0'|, f(suc(B_98))))) | (~tptp_fun__E_(|'0'|, f(B_94)))) | (~iLEQ(suc(A_2), suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(suc(B_95))))) | (~tptp_fun__E_(|'0'|, f(B_98)))) | (~tptp_fun__E_(|'0'|, f(B_95)))) <=> (((~tptp_fun__E_(|'0'|, f(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_95)))) | (~iLEQ(suc(A_2), suc(B_94))) | (~tptp_fun__E_(|'0'|, f(B_94))) | (~tptp_fun__E_(|'0'|, f(suc(B_98)))) | (~iLEQ(suc(B_94), suc(B_95))) | (~tptp_fun__E_(|'0'|, f(B_96))) | (~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97)))) | (~tptp_fun__E_(|'0'|, f(B_95)))))), rewrite((((~tptp_fun__E_(|'0'|, f(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_95)))) | (~iLEQ(suc(A_2), suc(B_94))) | (~tptp_fun__E_(|'0'|, f(B_94))) | (~tptp_fun__E_(|'0'|, f(suc(B_98)))) | (~iLEQ(suc(B_94), suc(B_95))) | (~tptp_fun__E_(|'0'|, f(B_96))) | (~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97)))) | (~tptp_fun__E_(|'0'|, f(B_95)))) <=> ((~tptp_fun__E_(|'0'|, f(B_95))) | (~tptp_fun__E_(|'0'|, f(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_95)))) | (~iLEQ(suc(A_2), suc(B_94))) | (~tptp_fun__E_(|'0'|, f(B_94))) | (~tptp_fun__E_(|'0'|, f(suc(B_98)))) | (~iLEQ(suc(B_94), suc(B_95))) | (~tptp_fun__E_(|'0'|, f(B_96))) | (~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97))))), ((((((((((((((((((~iLEQ(suc(B_96), suc(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(B_96))))) | (~iLEQ(suc(B_97), suc(B_98)))) | (~tptp_fun__E_(|'0'|, f(suc(B_97))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(B_94))))) | (~tptp_fun__E_(|'0'|, f(B_97)))) | (~iLEQ(suc(B_95), suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(B_96)))) | (~iLEQ(suc(B_94), suc(B_95)))) | (~tptp_fun__E_(|'0'|, f(suc(B_98))))) | (~tptp_fun__E_(|'0'|, f(B_94)))) | (~iLEQ(suc(A_2), suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(suc(B_95))))) | (~tptp_fun__E_(|'0'|, f(B_98)))) | (~tptp_fun__E_(|'0'|, f(B_95)))) <=> ((~tptp_fun__E_(|'0'|, f(B_95))) | (~tptp_fun__E_(|'0'|, f(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_95)))) | (~iLEQ(suc(A_2), suc(B_94))) | (~tptp_fun__E_(|'0'|, f(B_94))) | (~tptp_fun__E_(|'0'|, f(suc(B_98)))) | (~iLEQ(suc(B_94), suc(B_95))) | (~tptp_fun__E_(|'0'|, f(B_96))) | (~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97))))))),
% 1.34/1.12 inference(bind,[status(th)],[])).
% 1.34/1.12 tff(121,plain,
% 1.34/1.12 (![B_98: $i, B_96: $i, B_95: $i, A_2: $i, B_94: $i, B_97: $i] : (((((((((((((((((~iLEQ(suc(B_96), suc(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(B_96))))) | (~iLEQ(suc(B_97), suc(B_98)))) | (~tptp_fun__E_(|'0'|, f(suc(B_97))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(B_94))))) | (~tptp_fun__E_(|'0'|, f(B_97)))) | (~iLEQ(suc(B_95), suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(B_96)))) | (~iLEQ(suc(B_94), suc(B_95)))) | (~tptp_fun__E_(|'0'|, f(suc(B_98))))) | (~tptp_fun__E_(|'0'|, f(B_94)))) | (~iLEQ(suc(A_2), suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(suc(B_95))))) | (~tptp_fun__E_(|'0'|, f(B_98)))) | (~tptp_fun__E_(|'0'|, f(B_95)))) <=> ![B_98: $i, B_96: $i, B_95: $i, A_2: $i, B_94: $i, B_97: $i] : ((~tptp_fun__E_(|'0'|, f(B_95))) | (~tptp_fun__E_(|'0'|, f(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_95)))) | (~iLEQ(suc(A_2), suc(B_94))) | (~tptp_fun__E_(|'0'|, f(B_94))) | (~tptp_fun__E_(|'0'|, f(suc(B_98)))) | (~iLEQ(suc(B_94), suc(B_95))) | (~tptp_fun__E_(|'0'|, f(B_96))) | (~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97))))),
% 1.34/1.13 inference(quant_intro,[status(thm)],[120])).
% 1.34/1.13 tff(122,axiom,(![B_98: $i, B_96: $i, B_95: $i, A_2: $i, B_94: $i, B_97: $i] : (((((((((((((((((~iLEQ(suc(B_96), suc(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(A_2))))) | (~tptp_fun__E_(|'0'|, f(suc(B_96))))) | (~iLEQ(suc(B_97), suc(B_98)))) | (~tptp_fun__E_(|'0'|, f(suc(B_97))))) | (~tptp_fun__E_(|'0'|, f(A_2)))) | (~tptp_fun__E_(|'0'|, f(suc(B_94))))) | (~tptp_fun__E_(|'0'|, f(B_97)))) | (~iLEQ(suc(B_95), suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(B_96)))) | (~iLEQ(suc(B_94), suc(B_95)))) | (~tptp_fun__E_(|'0'|, f(suc(B_98))))) | (~tptp_fun__E_(|'0'|, f(B_94)))) | (~iLEQ(suc(A_2), suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(suc(B_95))))) | (~tptp_fun__E_(|'0'|, f(B_98)))) | (~tptp_fun__E_(|'0'|, f(B_95))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_102')).
% 1.34/1.13 tff(123,plain,
% 1.34/1.13 (![B_98: $i, B_96: $i, B_95: $i, A_2: $i, B_94: $i, B_97: $i] : ((~tptp_fun__E_(|'0'|, f(B_95))) | (~tptp_fun__E_(|'0'|, f(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_95)))) | (~iLEQ(suc(A_2), suc(B_94))) | (~tptp_fun__E_(|'0'|, f(B_94))) | (~tptp_fun__E_(|'0'|, f(suc(B_98)))) | (~iLEQ(suc(B_94), suc(B_95))) | (~tptp_fun__E_(|'0'|, f(B_96))) | (~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97))))),
% 1.34/1.13 inference(modus_ponens,[status(thm)],[122, 121])).
% 1.34/1.13 tff(124,plain,
% 1.34/1.13 (![B_98: $i, B_96: $i, B_95: $i, A_2: $i, B_94: $i, B_97: $i] : ((~tptp_fun__E_(|'0'|, f(B_95))) | (~tptp_fun__E_(|'0'|, f(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_95)))) | (~iLEQ(suc(A_2), suc(B_94))) | (~tptp_fun__E_(|'0'|, f(B_94))) | (~tptp_fun__E_(|'0'|, f(suc(B_98)))) | (~iLEQ(suc(B_94), suc(B_95))) | (~tptp_fun__E_(|'0'|, f(B_96))) | (~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97))))),
% 1.34/1.13 inference(modus_ponens,[status(thm)],[123, 119])).
% 1.34/1.13 tff(125,plain,(
% 1.34/1.13 ![B_98: $i, B_96: $i, B_95: $i, A_2: $i, B_94: $i, B_97: $i] : ((~tptp_fun__E_(|'0'|, f(B_95))) | (~tptp_fun__E_(|'0'|, f(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_95)))) | (~iLEQ(suc(A_2), suc(B_94))) | (~tptp_fun__E_(|'0'|, f(B_94))) | (~tptp_fun__E_(|'0'|, f(suc(B_98)))) | (~iLEQ(suc(B_94), suc(B_95))) | (~tptp_fun__E_(|'0'|, f(B_96))) | (~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97))))),
% 1.34/1.13 inference(skolemize,[status(sab)],[124])).
% 1.34/1.13 tff(126,plain,
% 1.34/1.13 (![B_98: $i, B_96: $i, B_95: $i, A_2: $i, B_94: $i, B_97: $i] : ((~tptp_fun__E_(|'0'|, f(B_95))) | (~tptp_fun__E_(|'0'|, f(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_95)))) | (~iLEQ(suc(A_2), suc(B_94))) | (~tptp_fun__E_(|'0'|, f(B_94))) | (~tptp_fun__E_(|'0'|, f(suc(B_98)))) | (~iLEQ(suc(B_94), suc(B_95))) | (~tptp_fun__E_(|'0'|, f(B_96))) | (~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97))))),
% 1.34/1.13 inference(modus_ponens,[status(thm)],[125, 118])).
% 1.34/1.13 tff(127,plain,
% 1.34/1.13 (((~![B_98: $i, B_96: $i, B_95: $i, A_2: $i, B_94: $i, B_97: $i] : ((~tptp_fun__E_(|'0'|, f(B_95))) | (~tptp_fun__E_(|'0'|, f(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_95)))) | (~iLEQ(suc(A_2), suc(B_94))) | (~tptp_fun__E_(|'0'|, f(B_94))) | (~tptp_fun__E_(|'0'|, f(suc(B_98)))) | (~iLEQ(suc(B_94), suc(B_95))) | (~tptp_fun__E_(|'0'|, f(B_96))) | (~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97))))) | ((~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))))) <=> ((~![B_98: $i, B_96: $i, B_95: $i, A_2: $i, B_94: $i, B_97: $i] : ((~tptp_fun__E_(|'0'|, f(B_95))) | (~tptp_fun__E_(|'0'|, f(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_95)))) | (~iLEQ(suc(A_2), suc(B_94))) | (~tptp_fun__E_(|'0'|, f(B_94))) | (~tptp_fun__E_(|'0'|, f(suc(B_98)))) | (~iLEQ(suc(B_94), suc(B_95))) | (~tptp_fun__E_(|'0'|, f(B_96))) | (~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97))))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))))),
% 1.34/1.13 inference(rewrite,[status(thm)],[])).
% 1.34/1.13 tff(128,plain,
% 1.34/1.13 (((~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z)))) <=> ((~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))))),
% 1.34/1.13 inference(rewrite,[status(thm)],[])).
% 1.34/1.13 tff(129,plain,
% 1.34/1.13 (((~![B_98: $i, B_96: $i, B_95: $i, A_2: $i, B_94: $i, B_97: $i] : ((~tptp_fun__E_(|'0'|, f(B_95))) | (~tptp_fun__E_(|'0'|, f(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_95)))) | (~iLEQ(suc(A_2), suc(B_94))) | (~tptp_fun__E_(|'0'|, f(B_94))) | (~tptp_fun__E_(|'0'|, f(suc(B_98)))) | (~iLEQ(suc(B_94), suc(B_95))) | (~tptp_fun__E_(|'0'|, f(B_96))) | (~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97))))) | ((~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))))) <=> ((~![B_98: $i, B_96: $i, B_95: $i, A_2: $i, B_94: $i, B_97: $i] : ((~tptp_fun__E_(|'0'|, f(B_95))) | (~tptp_fun__E_(|'0'|, f(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_95)))) | (~iLEQ(suc(A_2), suc(B_94))) | (~tptp_fun__E_(|'0'|, f(B_94))) | (~tptp_fun__E_(|'0'|, f(suc(B_98)))) | (~iLEQ(suc(B_94), suc(B_95))) | (~tptp_fun__E_(|'0'|, f(B_96))) | (~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97))))) | ((~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z)))))),
% 1.34/1.13 inference(monotonicity,[status(thm)],[128])).
% 1.34/1.13 tff(130,plain,
% 1.34/1.13 (((~![B_98: $i, B_96: $i, B_95: $i, A_2: $i, B_94: $i, B_97: $i] : ((~tptp_fun__E_(|'0'|, f(B_95))) | (~tptp_fun__E_(|'0'|, f(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_95)))) | (~iLEQ(suc(A_2), suc(B_94))) | (~tptp_fun__E_(|'0'|, f(B_94))) | (~tptp_fun__E_(|'0'|, f(suc(B_98)))) | (~iLEQ(suc(B_94), suc(B_95))) | (~tptp_fun__E_(|'0'|, f(B_96))) | (~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97))))) | ((~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))))) <=> ((~![B_98: $i, B_96: $i, B_95: $i, A_2: $i, B_94: $i, B_97: $i] : ((~tptp_fun__E_(|'0'|, f(B_95))) | (~tptp_fun__E_(|'0'|, f(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_95)))) | (~iLEQ(suc(A_2), suc(B_94))) | (~tptp_fun__E_(|'0'|, f(B_94))) | (~tptp_fun__E_(|'0'|, f(suc(B_98)))) | (~iLEQ(suc(B_94), suc(B_95))) | (~tptp_fun__E_(|'0'|, f(B_96))) | (~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97))))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))))),
% 1.34/1.13 inference(transitivity,[status(thm)],[129, 127])).
% 1.34/1.13 tff(131,plain,
% 1.34/1.13 ((~![B_98: $i, B_96: $i, B_95: $i, A_2: $i, B_94: $i, B_97: $i] : ((~tptp_fun__E_(|'0'|, f(B_95))) | (~tptp_fun__E_(|'0'|, f(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_95)))) | (~iLEQ(suc(A_2), suc(B_94))) | (~tptp_fun__E_(|'0'|, f(B_94))) | (~tptp_fun__E_(|'0'|, f(suc(B_98)))) | (~iLEQ(suc(B_94), suc(B_95))) | (~tptp_fun__E_(|'0'|, f(B_96))) | (~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97))))) | ((~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))))),
% 1.34/1.13 inference(quant_inst,[status(thm)],[])).
% 1.34/1.13 tff(132,plain,
% 1.34/1.13 ((~![B_98: $i, B_96: $i, B_95: $i, A_2: $i, B_94: $i, B_97: $i] : ((~tptp_fun__E_(|'0'|, f(B_95))) | (~tptp_fun__E_(|'0'|, f(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_95)))) | (~iLEQ(suc(A_2), suc(B_94))) | (~tptp_fun__E_(|'0'|, f(B_94))) | (~tptp_fun__E_(|'0'|, f(suc(B_98)))) | (~iLEQ(suc(B_94), suc(B_95))) | (~tptp_fun__E_(|'0'|, f(B_96))) | (~iLEQ(suc(B_95), suc(B_96))) | (~tptp_fun__E_(|'0'|, f(B_97))) | (~tptp_fun__E_(|'0'|, f(suc(B_94)))) | (~tptp_fun__E_(|'0'|, f(A_2))) | (~tptp_fun__E_(|'0'|, f(suc(B_97)))) | (~iLEQ(suc(B_97), suc(B_98))) | (~tptp_fun__E_(|'0'|, f(suc(B_96)))) | (~tptp_fun__E_(|'0'|, f(suc(A_2)))) | (~iLEQ(suc(B_96), suc(B_97))))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z)))),
% 1.34/1.13 inference(modus_ponens,[status(thm)],[131, 130])).
% 1.34/1.13 tff(133,plain,
% 1.34/1.13 ((~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z)))),
% 1.34/1.13 inference(unit_resolution,[status(thm)],[132, 126, 100])).
% 1.34/1.13 tff(134,plain,
% 1.34/1.13 ($false),
% 1.34/1.13 inference(unit_resolution,[status(thm)],[133, 116, 1])).
% 1.34/1.13 tff(135,plain,(~tptp_fun__E_(|'0'|, f(z))), inference(lemma,lemma(discharge,[]))).
% 1.34/1.13 tff(136,plain,
% 1.34/1.13 (^[B_93: $i] : refl((tptp_fun__LE_(f(B_93), |'0'|) | (~tptp_fun__LE_(f(B_93), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_93))) <=> (tptp_fun__LE_(f(B_93), |'0'|) | (~tptp_fun__LE_(f(B_93), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_93))))),
% 1.34/1.13 inference(bind,[status(th)],[])).
% 1.34/1.13 tff(137,plain,
% 1.34/1.13 (![B_93: $i] : (tptp_fun__LE_(f(B_93), |'0'|) | (~tptp_fun__LE_(f(B_93), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_93))) <=> ![B_93: $i] : (tptp_fun__LE_(f(B_93), |'0'|) | (~tptp_fun__LE_(f(B_93), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_93)))),
% 1.34/1.13 inference(quant_intro,[status(thm)],[136])).
% 1.34/1.13 tff(138,plain,
% 1.34/1.13 (![B_93: $i] : (tptp_fun__LE_(f(B_93), |'0'|) | (~tptp_fun__LE_(f(B_93), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_93))) <=> ![B_93: $i] : (tptp_fun__LE_(f(B_93), |'0'|) | (~tptp_fun__LE_(f(B_93), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_93)))),
% 1.34/1.13 inference(rewrite,[status(thm)],[])).
% 1.34/1.13 tff(139,plain,
% 1.34/1.13 (^[B_93: $i] : rewrite((((~tptp_fun__LE_(f(B_93), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_93))) | tptp_fun__LE_(f(B_93), |'0'|)) <=> (tptp_fun__LE_(f(B_93), |'0'|) | (~tptp_fun__LE_(f(B_93), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_93))))),
% 1.34/1.13 inference(bind,[status(th)],[])).
% 1.34/1.13 tff(140,plain,
% 1.34/1.13 (![B_93: $i] : (((~tptp_fun__LE_(f(B_93), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_93))) | tptp_fun__LE_(f(B_93), |'0'|)) <=> ![B_93: $i] : (tptp_fun__LE_(f(B_93), |'0'|) | (~tptp_fun__LE_(f(B_93), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_93)))),
% 1.34/1.13 inference(quant_intro,[status(thm)],[139])).
% 1.34/1.13 tff(141,axiom,(![B_93: $i] : (((~tptp_fun__LE_(f(B_93), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_93))) | tptp_fun__LE_(f(B_93), |'0'|))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_42')).
% 1.34/1.13 tff(142,plain,
% 1.34/1.13 (![B_93: $i] : (tptp_fun__LE_(f(B_93), |'0'|) | (~tptp_fun__LE_(f(B_93), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_93)))),
% 1.34/1.13 inference(modus_ponens,[status(thm)],[141, 140])).
% 1.34/1.13 tff(143,plain,
% 1.34/1.13 (![B_93: $i] : (tptp_fun__LE_(f(B_93), |'0'|) | (~tptp_fun__LE_(f(B_93), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_93)))),
% 1.34/1.13 inference(modus_ponens,[status(thm)],[142, 138])).
% 1.34/1.13 tff(144,plain,(
% 1.34/1.13 ![B_93: $i] : (tptp_fun__LE_(f(B_93), |'0'|) | (~tptp_fun__LE_(f(B_93), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_93)))),
% 1.34/1.13 inference(skolemize,[status(sab)],[143])).
% 1.34/1.13 tff(145,plain,
% 1.34/1.13 (![B_93: $i] : (tptp_fun__LE_(f(B_93), |'0'|) | (~tptp_fun__LE_(f(B_93), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_93)))),
% 1.34/1.13 inference(modus_ponens,[status(thm)],[144, 137])).
% 1.34/1.13 tff(146,plain,
% 1.34/1.13 (((~![B_93: $i] : (tptp_fun__LE_(f(B_93), |'0'|) | (~tptp_fun__LE_(f(B_93), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_93)))) | (tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(z), s(|'0'|))) | tptp_fun__E_(|'0'|, f(z)))) <=> ((~![B_93: $i] : (tptp_fun__LE_(f(B_93), |'0'|) | (~tptp_fun__LE_(f(B_93), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_93)))) | tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(z), s(|'0'|))) | tptp_fun__E_(|'0'|, f(z)))),
% 1.34/1.13 inference(rewrite,[status(thm)],[])).
% 1.34/1.13 tff(147,plain,
% 1.34/1.13 ((~![B_93: $i] : (tptp_fun__LE_(f(B_93), |'0'|) | (~tptp_fun__LE_(f(B_93), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_93)))) | (tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(z), s(|'0'|))) | tptp_fun__E_(|'0'|, f(z)))),
% 1.34/1.13 inference(quant_inst,[status(thm)],[])).
% 1.34/1.13 tff(148,plain,
% 1.34/1.13 ((~![B_93: $i] : (tptp_fun__LE_(f(B_93), |'0'|) | (~tptp_fun__LE_(f(B_93), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_93)))) | tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(z), s(|'0'|))) | tptp_fun__E_(|'0'|, f(z))),
% 1.34/1.13 inference(modus_ponens,[status(thm)],[147, 146])).
% 1.34/1.13 tff(149,plain,
% 1.34/1.13 ((~tptp_fun__LE_(f(z), s(|'0'|))) | tptp_fun__E_(|'0'|, f(z))),
% 1.34/1.13 inference(unit_resolution,[status(thm)],[148, 95, 145])).
% 1.34/1.13 tff(150,plain,
% 1.34/1.13 (~tptp_fun__LE_(f(z), s(|'0'|))),
% 1.34/1.13 inference(unit_resolution,[status(thm)],[149, 135])).
% 1.34/1.13 tff(151,plain,
% 1.34/1.13 (((~![B_68: $i] : (tptp_fun__LE_(f(B_68), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(suc(B_68))) | (~tptp_fun__LE_(f(suc(B_68)), s(s(|'0'|)))))) | (tptp_fun__LE_(f(z), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(suc(z))) | (~tptp_fun__LE_(f(suc(z)), s(s(|'0'|)))))) <=> ((~![B_68: $i] : (tptp_fun__LE_(f(B_68), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(suc(B_68))) | (~tptp_fun__LE_(f(suc(B_68)), s(s(|'0'|)))))) | tptp_fun__LE_(f(z), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(suc(z))) | (~tptp_fun__LE_(f(suc(z)), s(s(|'0'|)))))),
% 1.34/1.13 inference(rewrite,[status(thm)],[])).
% 1.34/1.13 tff(152,plain,
% 1.34/1.13 ((~![B_68: $i] : (tptp_fun__LE_(f(B_68), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(suc(B_68))) | (~tptp_fun__LE_(f(suc(B_68)), s(s(|'0'|)))))) | (tptp_fun__LE_(f(z), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(suc(z))) | (~tptp_fun__LE_(f(suc(z)), s(s(|'0'|)))))),
% 1.34/1.13 inference(quant_inst,[status(thm)],[])).
% 1.34/1.13 tff(153,plain,
% 1.34/1.13 ((~![B_68: $i] : (tptp_fun__LE_(f(B_68), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(suc(B_68))) | (~tptp_fun__LE_(f(suc(B_68)), s(s(|'0'|)))))) | tptp_fun__LE_(f(z), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(suc(z))) | (~tptp_fun__LE_(f(suc(z)), s(s(|'0'|))))),
% 1.34/1.13 inference(modus_ponens,[status(thm)],[152, 151])).
% 1.34/1.13 tff(154,plain,
% 1.34/1.13 (tptp_fun__LE_(f(z), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(suc(z))) | (~tptp_fun__LE_(f(suc(z)), s(s(|'0'|))))),
% 1.34/1.13 inference(unit_resolution,[status(thm)],[153, 23])).
% 1.34/1.13 tff(155,plain,
% 1.34/1.13 (tptp_fun__LE_(f(z), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(suc(z)))),
% 1.34/1.13 inference(unit_resolution,[status(thm)],[154, 30])).
% 1.34/1.13 tff(156,plain,
% 1.34/1.13 (tptp_fun__E_(s(|'0'|), f(suc(z)))),
% 1.34/1.13 inference(unit_resolution,[status(thm)],[155, 150])).
% 1.34/1.13 tff(157,plain,
% 1.34/1.13 ((~![A: $i] : tptp_fun__LE_(f(A), s(s(|'0'|)))) | tptp_fun__LE_(f(z), s(s(|'0'|)))),
% 1.34/1.13 inference(quant_inst,[status(thm)],[])).
% 1.34/1.13 tff(158,plain,
% 1.34/1.13 (tptp_fun__LE_(f(z), s(s(|'0'|)))),
% 1.34/1.13 inference(unit_resolution,[status(thm)],[157, 10])).
% 1.34/1.13 tff(159,plain,
% 1.34/1.13 (((~![B_68: $i] : (tptp_fun__LE_(f(B_68), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(B_68)) | (~tptp_fun__LE_(f(B_68), s(s(|'0'|)))))) | (tptp_fun__LE_(f(z), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(z)) | (~tptp_fun__LE_(f(z), s(s(|'0'|)))))) <=> ((~![B_68: $i] : (tptp_fun__LE_(f(B_68), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(B_68)) | (~tptp_fun__LE_(f(B_68), s(s(|'0'|)))))) | tptp_fun__LE_(f(z), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(z)) | (~tptp_fun__LE_(f(z), s(s(|'0'|)))))),
% 1.34/1.13 inference(rewrite,[status(thm)],[])).
% 1.34/1.13 tff(160,plain,
% 1.34/1.13 ((~![B_68: $i] : (tptp_fun__LE_(f(B_68), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(B_68)) | (~tptp_fun__LE_(f(B_68), s(s(|'0'|)))))) | (tptp_fun__LE_(f(z), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(z)) | (~tptp_fun__LE_(f(z), s(s(|'0'|)))))),
% 1.34/1.13 inference(quant_inst,[status(thm)],[])).
% 1.34/1.13 tff(161,plain,
% 1.34/1.13 ((~![B_68: $i] : (tptp_fun__LE_(f(B_68), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(B_68)) | (~tptp_fun__LE_(f(B_68), s(s(|'0'|)))))) | tptp_fun__LE_(f(z), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(z)) | (~tptp_fun__LE_(f(z), s(s(|'0'|))))),
% 1.34/1.13 inference(modus_ponens,[status(thm)],[160, 159])).
% 1.34/1.13 tff(162,plain,
% 1.34/1.13 (tptp_fun__LE_(f(z), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(z)) | (~tptp_fun__LE_(f(z), s(s(|'0'|))))),
% 1.34/1.13 inference(unit_resolution,[status(thm)],[161, 40])).
% 1.34/1.13 tff(163,plain,
% 1.34/1.13 (tptp_fun__LE_(f(z), s(|'0'|)) | tptp_fun__E_(s(|'0'|), f(z))),
% 1.34/1.13 inference(unit_resolution,[status(thm)],[162, 158])).
% 1.34/1.13 tff(164,plain,
% 1.34/1.13 (tptp_fun__E_(s(|'0'|), f(z))),
% 1.34/1.13 inference(unit_resolution,[status(thm)],[163, 150])).
% 1.34/1.13 tff(165,plain,
% 1.34/1.13 (((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))))) | (iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))))) <=> ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))))) | iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))))),
% 1.34/1.13 inference(rewrite,[status(thm)],[])).
% 1.34/1.13 tff(166,plain,
% 1.34/1.13 ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))))) | (iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))))),
% 1.34/1.13 inference(quant_inst,[status(thm)],[])).
% 1.34/1.13 tff(167,plain,
% 1.34/1.13 ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))))) | iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z))))),
% 1.34/1.13 inference(modus_ponens,[status(thm)],[166, 165])).
% 1.34/1.13 tff(168,plain,
% 1.34/1.13 (iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z))))),
% 1.34/1.13 inference(unit_resolution,[status(thm)],[167, 55])).
% 1.34/1.13 tff(169,plain,
% 1.34/1.13 (iLEQ(suc(z), suc(z))),
% 1.34/1.13 inference(unit_resolution,[status(thm)],[168, 164, 156])).
% 1.34/1.13 tff(170,plain,
% 1.34/1.13 (((~![B_73: $i, B_72: $i, A_1: $i, B_70: $i, B_69: $i, B_71: $i] : ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_70))) | (~iLEQ(suc(A_1), suc(B_69))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69))))) | ((~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(z), suc(z))))) <=> ((~![B_73: $i, B_72: $i, A_1: $i, B_70: $i, B_69: $i, B_71: $i] : ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_70))) | (~iLEQ(suc(A_1), suc(B_69))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69))))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(z), suc(z))))),
% 1.34/1.13 inference(rewrite,[status(thm)],[])).
% 1.34/1.13 tff(171,plain,
% 1.34/1.13 (((~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(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(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~iLEQ(suc(z), 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(z)))) <=> ((~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(z), suc(z))))),
% 1.34/1.13 inference(rewrite,[status(thm)],[])).
% 1.34/1.13 tff(172,plain,
% 1.34/1.13 (((~![B_73: $i, B_72: $i, A_1: $i, B_70: $i, B_69: $i, B_71: $i] : ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_70))) | (~iLEQ(suc(A_1), suc(B_69))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69))))) | ((~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(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(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~iLEQ(suc(z), 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(z))))) <=> ((~![B_73: $i, B_72: $i, A_1: $i, B_70: $i, B_69: $i, B_71: $i] : ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_70))) | (~iLEQ(suc(A_1), suc(B_69))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69))))) | ((~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(z), suc(z)))))),
% 1.34/1.13 inference(monotonicity,[status(thm)],[171])).
% 1.34/1.13 tff(173,plain,
% 1.34/1.13 (((~![B_73: $i, B_72: $i, A_1: $i, B_70: $i, B_69: $i, B_71: $i] : ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_70))) | (~iLEQ(suc(A_1), suc(B_69))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69))))) | ((~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(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(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~iLEQ(suc(z), 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(z))))) <=> ((~![B_73: $i, B_72: $i, A_1: $i, B_70: $i, B_69: $i, B_71: $i] : ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_70))) | (~iLEQ(suc(A_1), suc(B_69))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69))))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(z), suc(z))))),
% 1.34/1.13 inference(transitivity,[status(thm)],[172, 170])).
% 1.34/1.14 tff(174,plain,
% 1.34/1.14 ((~![B_73: $i, B_72: $i, A_1: $i, B_70: $i, B_69: $i, B_71: $i] : ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_70))) | (~iLEQ(suc(A_1), suc(B_69))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69))))) | ((~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~tptp_fun__E_(s(|'0'|), f(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(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~iLEQ(suc(z), 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(z))))),
% 1.34/1.14 inference(quant_inst,[status(thm)],[])).
% 1.34/1.14 tff(175,plain,
% 1.34/1.14 ((~![B_73: $i, B_72: $i, A_1: $i, B_70: $i, B_69: $i, B_71: $i] : ((~tptp_fun__E_(s(|'0'|), f(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_71)))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_73)))) | (~tptp_fun__E_(s(|'0'|), f(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_70))) | (~iLEQ(suc(A_1), suc(B_69))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_72)))) | (~tptp_fun__E_(s(|'0'|), f(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_70)))) | (~iLEQ(suc(B_72), suc(B_73))) | (~tptp_fun__E_(s(|'0'|), f(suc(B_69)))) | (~iLEQ(suc(B_69), suc(B_70))) | (~iLEQ(suc(B_70), suc(B_71))) | (~tptp_fun__E_(s(|'0'|), f(suc(A_1)))) | (~tptp_fun__E_(s(|'0'|), f(A_1))) | (~iLEQ(suc(B_71), suc(B_72))) | (~tptp_fun__E_(s(|'0'|), f(B_69))))) | (~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(z), suc(z)))),
% 1.34/1.14 inference(modus_ponens,[status(thm)],[174, 173])).
% 1.34/1.14 tff(176,plain,
% 1.34/1.14 ((~tptp_fun__E_(s(|'0'|), f(z))) | (~tptp_fun__E_(s(|'0'|), f(suc(z)))) | (~iLEQ(suc(z), suc(z)))),
% 1.34/1.14 inference(unit_resolution,[status(thm)],[175, 73])).
% 1.34/1.14 tff(177,plain,
% 1.34/1.14 ($false),
% 1.34/1.14 inference(unit_resolution,[status(thm)],[176, 156, 164, 169])).
% 1.34/1.14 % SZS output end Proof
%------------------------------------------------------------------------------