%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYO656-1 : TPTP v9.0.0. Released v7.3.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:42:02 AM UTC 2025
% Result : Unsatisfiable 0.18s 0.52s
% Output : Proof 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SYO656-1 : TPTP v9.0.0. Released v7.3.0.
% 0.09/0.11 % Command : run_E %s %d THM
% 0.11/0.31 % Computer : n012.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Fri Jun 20 13:20:55 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.18/0.52 % SZS status Unsatisfiable
% 0.18/0.52 % SZS output start Proof
% 0.18/0.52 tff(iLEQ_type, type, (
% 0.18/0.52 iLEQ: ( $i * $i ) > $o)).
% 0.18/0.52 tff(suc_type, type, (
% 0.18/0.52 suc: $i > $i)).
% 0.18/0.52 tff(z_type, type, (
% 0.18/0.52 z: $i)).
% 0.18/0.52 tff(tptp_fun__E__type, type, (
% 0.18/0.52 tptp_fun__E_: ( $i * $i ) > $o)).
% 0.18/0.52 tff(f_type, type, (
% 0.18/0.52 f: $i > $i)).
% 0.18/0.52 tff(tptp_fun__0__type, type, (
% 0.18/0.52 tptp_fun__0_: $i)).
% 0.18/0.52 tff(tptp_fun__LE__type, type, (
% 0.18/0.52 tptp_fun__LE_: ( $i * $i ) > $o)).
% 0.18/0.52 tff(s_type, type, (
% 0.18/0.52 s: $i > $i)).
% 0.18/0.52 tff(1,assumption,(~tptp_fun__E_(f(z), f(suc(z)))), introduced(assumption)).
% 0.18/0.52 tff(2,assumption,(~tptp_fun__LE_(f(suc(z)), s(|'0'|))), introduced(assumption)).
% 0.18/0.52 tff(3,plain,
% 0.18/0.52 (^[A: $i] : refl(tptp_fun__LE_(f(A), s(|'0'|)) <=> tptp_fun__LE_(f(A), s(|'0'|)))),
% 0.18/0.52 inference(bind,[status(th)],[])).
% 0.18/0.52 tff(4,plain,
% 0.18/0.52 (![A: $i] : tptp_fun__LE_(f(A), s(|'0'|)) <=> ![A: $i] : tptp_fun__LE_(f(A), s(|'0'|))),
% 0.18/0.52 inference(quant_intro,[status(thm)],[3])).
% 0.18/0.52 tff(5,plain,
% 0.18/0.52 (![A: $i] : tptp_fun__LE_(f(A), s(|'0'|)) <=> ![A: $i] : tptp_fun__LE_(f(A), s(|'0'|))),
% 0.18/0.52 inference(rewrite,[status(thm)],[])).
% 0.18/0.52 tff(6,axiom,(![A: $i] : tptp_fun__LE_(f(A), s(|'0'|))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_1153')).
% 0.18/0.52 tff(7,plain,
% 0.18/0.52 (![A: $i] : tptp_fun__LE_(f(A), s(|'0'|))),
% 0.18/0.52 inference(modus_ponens,[status(thm)],[6, 5])).
% 0.18/0.52 tff(8,plain,(
% 0.18/0.52 ![A: $i] : tptp_fun__LE_(f(A), s(|'0'|))),
% 0.18/0.52 inference(skolemize,[status(sab)],[7])).
% 0.18/0.52 tff(9,plain,
% 0.18/0.52 (![A: $i] : tptp_fun__LE_(f(A), s(|'0'|))),
% 0.18/0.52 inference(modus_ponens,[status(thm)],[8, 4])).
% 0.18/0.52 tff(10,plain,
% 0.18/0.52 ((~![A: $i] : tptp_fun__LE_(f(A), s(|'0'|))) | tptp_fun__LE_(f(suc(z)), s(|'0'|))),
% 0.18/0.52 inference(quant_inst,[status(thm)],[])).
% 0.18/0.52 tff(11,plain,
% 0.18/0.52 ($false),
% 0.18/0.52 inference(unit_resolution,[status(thm)],[10, 9, 2])).
% 0.18/0.52 tff(12,plain,(tptp_fun__LE_(f(suc(z)), s(|'0'|))), inference(lemma,lemma(discharge,[]))).
% 0.18/0.52 tff(13,plain,
% 0.18/0.52 (^[B_23: $i] : refl((tptp_fun__E_(|'0'|, f(suc(B_23))) | (~tptp_fun__LE_(f(suc(B_23)), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|)) <=> (tptp_fun__E_(|'0'|, f(suc(B_23))) | (~tptp_fun__LE_(f(suc(B_23)), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|)))),
% 0.18/0.52 inference(bind,[status(th)],[])).
% 0.18/0.52 tff(14,plain,
% 0.18/0.52 (![B_23: $i] : (tptp_fun__E_(|'0'|, f(suc(B_23))) | (~tptp_fun__LE_(f(suc(B_23)), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|)) <=> ![B_23: $i] : (tptp_fun__E_(|'0'|, f(suc(B_23))) | (~tptp_fun__LE_(f(suc(B_23)), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))),
% 0.18/0.52 inference(quant_intro,[status(thm)],[13])).
% 0.18/0.52 tff(15,plain,
% 0.18/0.52 (![B_23: $i] : (tptp_fun__E_(|'0'|, f(suc(B_23))) | (~tptp_fun__LE_(f(suc(B_23)), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|)) <=> ![B_23: $i] : (tptp_fun__E_(|'0'|, f(suc(B_23))) | (~tptp_fun__LE_(f(suc(B_23)), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))),
% 0.18/0.52 inference(rewrite,[status(thm)],[])).
% 0.18/0.52 tff(16,plain,
% 0.18/0.52 (^[B_23: $i] : rewrite((((~tptp_fun__LE_(f(suc(B_23)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_23)))) | tptp_fun__LE_(f(B_23), |'0'|)) <=> (tptp_fun__E_(|'0'|, f(suc(B_23))) | (~tptp_fun__LE_(f(suc(B_23)), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|)))),
% 0.18/0.52 inference(bind,[status(th)],[])).
% 0.18/0.52 tff(17,plain,
% 0.18/0.52 (![B_23: $i] : (((~tptp_fun__LE_(f(suc(B_23)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_23)))) | tptp_fun__LE_(f(B_23), |'0'|)) <=> ![B_23: $i] : (tptp_fun__E_(|'0'|, f(suc(B_23))) | (~tptp_fun__LE_(f(suc(B_23)), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))),
% 0.18/0.52 inference(quant_intro,[status(thm)],[16])).
% 0.18/0.52 tff(18,axiom,(![B_23: $i] : (((~tptp_fun__LE_(f(suc(B_23)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_23)))) | tptp_fun__LE_(f(B_23), |'0'|))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_968')).
% 0.18/0.52 tff(19,plain,
% 0.18/0.52 (![B_23: $i] : (tptp_fun__E_(|'0'|, f(suc(B_23))) | (~tptp_fun__LE_(f(suc(B_23)), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))),
% 0.18/0.52 inference(modus_ponens,[status(thm)],[18, 17])).
% 0.18/0.52 tff(20,plain,
% 0.18/0.52 (![B_23: $i] : (tptp_fun__E_(|'0'|, f(suc(B_23))) | (~tptp_fun__LE_(f(suc(B_23)), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))),
% 0.18/0.52 inference(modus_ponens,[status(thm)],[19, 15])).
% 0.18/0.52 tff(21,plain,(
% 0.18/0.52 ![B_23: $i] : (tptp_fun__E_(|'0'|, f(suc(B_23))) | (~tptp_fun__LE_(f(suc(B_23)), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))),
% 0.18/0.52 inference(skolemize,[status(sab)],[20])).
% 0.18/0.52 tff(22,plain,
% 0.18/0.52 (![B_23: $i] : (tptp_fun__E_(|'0'|, f(suc(B_23))) | (~tptp_fun__LE_(f(suc(B_23)), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))),
% 0.18/0.52 inference(modus_ponens,[status(thm)],[21, 14])).
% 0.18/0.52 tff(23,plain,
% 0.18/0.52 ((~tptp_fun__LE_(f(z), |'0'|)) <=> (~tptp_fun__LE_(f(z), |'0'|))),
% 0.18/0.52 inference(rewrite,[status(thm)],[])).
% 0.18/0.52 tff(24,axiom,(~tptp_fun__LE_(f(z), |'0'|)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_613')).
% 0.18/0.52 tff(25,plain,
% 0.18/0.52 (~tptp_fun__LE_(f(z), |'0'|)),
% 0.18/0.52 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.18/0.52 tff(26,plain,
% 0.18/0.52 (((~![B_23: $i] : (tptp_fun__E_(|'0'|, f(suc(B_23))) | (~tptp_fun__LE_(f(suc(B_23)), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))) | (tptp_fun__LE_(f(z), |'0'|) | tptp_fun__E_(|'0'|, f(suc(z))) | (~tptp_fun__LE_(f(suc(z)), s(|'0'|))))) <=> ((~![B_23: $i] : (tptp_fun__E_(|'0'|, f(suc(B_23))) | (~tptp_fun__LE_(f(suc(B_23)), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))) | tptp_fun__LE_(f(z), |'0'|) | tptp_fun__E_(|'0'|, f(suc(z))) | (~tptp_fun__LE_(f(suc(z)), s(|'0'|))))),
% 0.18/0.52 inference(rewrite,[status(thm)],[])).
% 0.18/0.52 tff(27,plain,
% 0.18/0.52 ((tptp_fun__E_(|'0'|, f(suc(z))) | (~tptp_fun__LE_(f(suc(z)), s(|'0'|))) | tptp_fun__LE_(f(z), |'0'|)) <=> (tptp_fun__LE_(f(z), |'0'|) | tptp_fun__E_(|'0'|, f(suc(z))) | (~tptp_fun__LE_(f(suc(z)), s(|'0'|))))),
% 0.18/0.52 inference(rewrite,[status(thm)],[])).
% 0.18/0.52 tff(28,plain,
% 0.18/0.52 (((~![B_23: $i] : (tptp_fun__E_(|'0'|, f(suc(B_23))) | (~tptp_fun__LE_(f(suc(B_23)), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))) | (tptp_fun__E_(|'0'|, f(suc(z))) | (~tptp_fun__LE_(f(suc(z)), s(|'0'|))) | tptp_fun__LE_(f(z), |'0'|))) <=> ((~![B_23: $i] : (tptp_fun__E_(|'0'|, f(suc(B_23))) | (~tptp_fun__LE_(f(suc(B_23)), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))) | (tptp_fun__LE_(f(z), |'0'|) | tptp_fun__E_(|'0'|, f(suc(z))) | (~tptp_fun__LE_(f(suc(z)), s(|'0'|)))))),
% 0.18/0.52 inference(monotonicity,[status(thm)],[27])).
% 0.18/0.52 tff(29,plain,
% 0.18/0.52 (((~![B_23: $i] : (tptp_fun__E_(|'0'|, f(suc(B_23))) | (~tptp_fun__LE_(f(suc(B_23)), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))) | (tptp_fun__E_(|'0'|, f(suc(z))) | (~tptp_fun__LE_(f(suc(z)), s(|'0'|))) | tptp_fun__LE_(f(z), |'0'|))) <=> ((~![B_23: $i] : (tptp_fun__E_(|'0'|, f(suc(B_23))) | (~tptp_fun__LE_(f(suc(B_23)), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))) | tptp_fun__LE_(f(z), |'0'|) | tptp_fun__E_(|'0'|, f(suc(z))) | (~tptp_fun__LE_(f(suc(z)), s(|'0'|))))),
% 0.18/0.52 inference(transitivity,[status(thm)],[28, 26])).
% 0.18/0.52 tff(30,plain,
% 0.18/0.52 ((~![B_23: $i] : (tptp_fun__E_(|'0'|, f(suc(B_23))) | (~tptp_fun__LE_(f(suc(B_23)), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))) | (tptp_fun__E_(|'0'|, f(suc(z))) | (~tptp_fun__LE_(f(suc(z)), s(|'0'|))) | tptp_fun__LE_(f(z), |'0'|))),
% 0.18/0.52 inference(quant_inst,[status(thm)],[])).
% 0.18/0.52 tff(31,plain,
% 0.18/0.52 ((~![B_23: $i] : (tptp_fun__E_(|'0'|, f(suc(B_23))) | (~tptp_fun__LE_(f(suc(B_23)), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))) | tptp_fun__LE_(f(z), |'0'|) | tptp_fun__E_(|'0'|, f(suc(z))) | (~tptp_fun__LE_(f(suc(z)), s(|'0'|)))),
% 0.18/0.52 inference(modus_ponens,[status(thm)],[30, 29])).
% 0.18/0.52 tff(32,plain,
% 0.18/0.52 (tptp_fun__E_(|'0'|, f(suc(z))) | (~tptp_fun__LE_(f(suc(z)), s(|'0'|)))),
% 0.18/0.52 inference(unit_resolution,[status(thm)],[31, 25, 22])).
% 0.18/0.52 tff(33,plain,
% 0.18/0.52 (tptp_fun__E_(|'0'|, f(suc(z)))),
% 0.18/0.52 inference(unit_resolution,[status(thm)],[32, 12])).
% 0.18/0.52 tff(34,plain,
% 0.18/0.52 ((~![A: $i] : tptp_fun__LE_(f(A), s(|'0'|))) | tptp_fun__LE_(f(z), s(|'0'|))),
% 0.18/0.52 inference(quant_inst,[status(thm)],[])).
% 0.18/0.52 tff(35,plain,
% 0.18/0.52 (tptp_fun__LE_(f(z), s(|'0'|))),
% 0.18/0.52 inference(unit_resolution,[status(thm)],[34, 9])).
% 0.18/0.52 tff(36,plain,
% 0.18/0.52 (^[B_23: $i] : refl((tptp_fun__E_(|'0'|, f(B_23)) | (~tptp_fun__LE_(f(B_23), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|)) <=> (tptp_fun__E_(|'0'|, f(B_23)) | (~tptp_fun__LE_(f(B_23), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|)))),
% 0.18/0.52 inference(bind,[status(th)],[])).
% 0.18/0.52 tff(37,plain,
% 0.18/0.52 (![B_23: $i] : (tptp_fun__E_(|'0'|, f(B_23)) | (~tptp_fun__LE_(f(B_23), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|)) <=> ![B_23: $i] : (tptp_fun__E_(|'0'|, f(B_23)) | (~tptp_fun__LE_(f(B_23), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))),
% 0.18/0.52 inference(quant_intro,[status(thm)],[36])).
% 0.18/0.52 tff(38,plain,
% 0.18/0.52 (![B_23: $i] : (tptp_fun__E_(|'0'|, f(B_23)) | (~tptp_fun__LE_(f(B_23), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|)) <=> ![B_23: $i] : (tptp_fun__E_(|'0'|, f(B_23)) | (~tptp_fun__LE_(f(B_23), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))),
% 0.18/0.52 inference(rewrite,[status(thm)],[])).
% 0.18/0.52 tff(39,plain,
% 0.18/0.52 (^[B_23: $i] : rewrite((((~tptp_fun__LE_(f(B_23), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_23))) | tptp_fun__LE_(f(B_23), |'0'|)) <=> (tptp_fun__E_(|'0'|, f(B_23)) | (~tptp_fun__LE_(f(B_23), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|)))),
% 0.18/0.52 inference(bind,[status(th)],[])).
% 0.18/0.52 tff(40,plain,
% 0.18/0.52 (![B_23: $i] : (((~tptp_fun__LE_(f(B_23), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_23))) | tptp_fun__LE_(f(B_23), |'0'|)) <=> ![B_23: $i] : (tptp_fun__E_(|'0'|, f(B_23)) | (~tptp_fun__LE_(f(B_23), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))),
% 0.18/0.52 inference(quant_intro,[status(thm)],[39])).
% 0.18/0.52 tff(41,axiom,(![B_23: $i] : (((~tptp_fun__LE_(f(B_23), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_23))) | tptp_fun__LE_(f(B_23), |'0'|))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_1005')).
% 0.18/0.52 tff(42,plain,
% 0.18/0.52 (![B_23: $i] : (tptp_fun__E_(|'0'|, f(B_23)) | (~tptp_fun__LE_(f(B_23), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))),
% 0.18/0.52 inference(modus_ponens,[status(thm)],[41, 40])).
% 0.18/0.52 tff(43,plain,
% 0.18/0.52 (![B_23: $i] : (tptp_fun__E_(|'0'|, f(B_23)) | (~tptp_fun__LE_(f(B_23), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))),
% 0.18/0.52 inference(modus_ponens,[status(thm)],[42, 38])).
% 0.18/0.52 tff(44,plain,(
% 0.18/0.52 ![B_23: $i] : (tptp_fun__E_(|'0'|, f(B_23)) | (~tptp_fun__LE_(f(B_23), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))),
% 0.18/0.52 inference(skolemize,[status(sab)],[43])).
% 0.18/0.52 tff(45,plain,
% 0.18/0.52 (![B_23: $i] : (tptp_fun__E_(|'0'|, f(B_23)) | (~tptp_fun__LE_(f(B_23), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))),
% 0.18/0.52 inference(modus_ponens,[status(thm)],[44, 37])).
% 0.18/0.52 tff(46,plain,
% 0.18/0.52 (((~![B_23: $i] : (tptp_fun__E_(|'0'|, f(B_23)) | (~tptp_fun__LE_(f(B_23), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))) | (tptp_fun__LE_(f(z), |'0'|) | tptp_fun__E_(|'0'|, f(z)) | (~tptp_fun__LE_(f(z), s(|'0'|))))) <=> ((~![B_23: $i] : (tptp_fun__E_(|'0'|, f(B_23)) | (~tptp_fun__LE_(f(B_23), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))) | tptp_fun__LE_(f(z), |'0'|) | tptp_fun__E_(|'0'|, f(z)) | (~tptp_fun__LE_(f(z), s(|'0'|))))),
% 0.18/0.52 inference(rewrite,[status(thm)],[])).
% 0.18/0.52 tff(47,plain,
% 0.18/0.52 ((tptp_fun__E_(|'0'|, f(z)) | (~tptp_fun__LE_(f(z), s(|'0'|))) | tptp_fun__LE_(f(z), |'0'|)) <=> (tptp_fun__LE_(f(z), |'0'|) | tptp_fun__E_(|'0'|, f(z)) | (~tptp_fun__LE_(f(z), s(|'0'|))))),
% 0.18/0.52 inference(rewrite,[status(thm)],[])).
% 0.18/0.52 tff(48,plain,
% 0.18/0.52 (((~![B_23: $i] : (tptp_fun__E_(|'0'|, f(B_23)) | (~tptp_fun__LE_(f(B_23), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))) | (tptp_fun__E_(|'0'|, f(z)) | (~tptp_fun__LE_(f(z), s(|'0'|))) | tptp_fun__LE_(f(z), |'0'|))) <=> ((~![B_23: $i] : (tptp_fun__E_(|'0'|, f(B_23)) | (~tptp_fun__LE_(f(B_23), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))) | (tptp_fun__LE_(f(z), |'0'|) | tptp_fun__E_(|'0'|, f(z)) | (~tptp_fun__LE_(f(z), s(|'0'|)))))),
% 0.18/0.52 inference(monotonicity,[status(thm)],[47])).
% 0.18/0.52 tff(49,plain,
% 0.18/0.52 (((~![B_23: $i] : (tptp_fun__E_(|'0'|, f(B_23)) | (~tptp_fun__LE_(f(B_23), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))) | (tptp_fun__E_(|'0'|, f(z)) | (~tptp_fun__LE_(f(z), s(|'0'|))) | tptp_fun__LE_(f(z), |'0'|))) <=> ((~![B_23: $i] : (tptp_fun__E_(|'0'|, f(B_23)) | (~tptp_fun__LE_(f(B_23), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))) | tptp_fun__LE_(f(z), |'0'|) | tptp_fun__E_(|'0'|, f(z)) | (~tptp_fun__LE_(f(z), s(|'0'|))))),
% 0.18/0.52 inference(transitivity,[status(thm)],[48, 46])).
% 0.18/0.52 tff(50,plain,
% 0.18/0.52 ((~![B_23: $i] : (tptp_fun__E_(|'0'|, f(B_23)) | (~tptp_fun__LE_(f(B_23), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))) | (tptp_fun__E_(|'0'|, f(z)) | (~tptp_fun__LE_(f(z), s(|'0'|))) | tptp_fun__LE_(f(z), |'0'|))),
% 0.18/0.52 inference(quant_inst,[status(thm)],[])).
% 0.18/0.52 tff(51,plain,
% 0.18/0.52 ((~![B_23: $i] : (tptp_fun__E_(|'0'|, f(B_23)) | (~tptp_fun__LE_(f(B_23), s(|'0'|))) | tptp_fun__LE_(f(B_23), |'0'|))) | tptp_fun__LE_(f(z), |'0'|) | tptp_fun__E_(|'0'|, f(z)) | (~tptp_fun__LE_(f(z), s(|'0'|)))),
% 0.18/0.52 inference(modus_ponens,[status(thm)],[50, 49])).
% 0.18/0.52 tff(52,plain,
% 0.18/0.52 (tptp_fun__E_(|'0'|, f(z))),
% 0.18/0.52 inference(unit_resolution,[status(thm)],[51, 25, 45, 35])).
% 0.18/0.52 tff(53,plain,
% 0.18/0.52 (^[A_1: $i] : refl((tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1))) <=> (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1))))),
% 0.18/0.52 inference(bind,[status(th)],[])).
% 0.18/0.52 tff(54,plain,
% 0.18/0.52 (![A_1: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1))) <=> ![A_1: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))),
% 0.18/0.52 inference(quant_intro,[status(thm)],[53])).
% 0.18/0.52 tff(55,plain,
% 0.18/0.52 (![A_1: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1))) <=> ![A_1: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))),
% 0.18/0.52 inference(rewrite,[status(thm)],[])).
% 0.18/0.52 tff(56,plain,
% 0.18/0.52 (^[A_1: $i] : trans(monotonicity(rewrite((((~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) <=> (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))))), (((((~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1))) <=> ((tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | iLEQ(suc(A_1), suc(A_1))))), rewrite(((tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | iLEQ(suc(A_1), suc(A_1))) <=> (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))), (((((~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1))) <=> (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))))),
% 0.18/0.52 inference(bind,[status(th)],[])).
% 0.18/0.52 tff(57,plain,
% 0.18/0.52 (![A_1: $i] : ((((~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1))) <=> ![A_1: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))),
% 0.18/0.52 inference(quant_intro,[status(thm)],[56])).
% 0.18/0.52 tff(58,axiom,(![A_1: $i] : ((((~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_181')).
% 0.18/0.52 tff(59,plain,
% 0.18/0.52 (![A_1: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))),
% 0.18/0.52 inference(modus_ponens,[status(thm)],[58, 57])).
% 0.18/0.52 tff(60,plain,
% 0.18/0.52 (![A_1: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))),
% 0.18/0.52 inference(modus_ponens,[status(thm)],[59, 55])).
% 0.18/0.52 tff(61,plain,(
% 0.18/0.52 ![A_1: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))),
% 0.18/0.52 inference(skolemize,[status(sab)],[60])).
% 0.18/0.52 tff(62,plain,
% 0.18/0.52 (![A_1: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))),
% 0.18/0.52 inference(modus_ponens,[status(thm)],[61, 54])).
% 0.18/0.52 tff(63,plain,
% 0.18/0.52 (((~![A_1: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))) | ((~tptp_fun__E_(|'0'|, f(suc(z)))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | iLEQ(suc(z), suc(z)))) <=> ((~![A_1: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | iLEQ(suc(z), suc(z)))),
% 0.18/0.52 inference(rewrite,[status(thm)],[])).
% 0.18/0.52 tff(64,plain,
% 0.18/0.52 ((tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | iLEQ(suc(z), suc(z))) <=> ((~tptp_fun__E_(|'0'|, f(suc(z)))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | iLEQ(suc(z), suc(z)))),
% 0.18/0.52 inference(rewrite,[status(thm)],[])).
% 0.18/0.52 tff(65,plain,
% 0.18/0.52 (((~![A_1: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))) | (tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | iLEQ(suc(z), suc(z)))) <=> ((~![A_1: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))) | ((~tptp_fun__E_(|'0'|, f(suc(z)))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | iLEQ(suc(z), suc(z))))),
% 0.18/0.52 inference(monotonicity,[status(thm)],[64])).
% 0.18/0.52 tff(66,plain,
% 0.18/0.52 (((~![A_1: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))) | (tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | iLEQ(suc(z), suc(z)))) <=> ((~![A_1: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | iLEQ(suc(z), suc(z)))),
% 0.18/0.52 inference(transitivity,[status(thm)],[65, 63])).
% 0.18/0.52 tff(67,plain,
% 0.18/0.52 ((~![A_1: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))) | (tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | iLEQ(suc(z), suc(z)))),
% 0.18/0.52 inference(quant_inst,[status(thm)],[])).
% 0.18/0.52 tff(68,plain,
% 0.18/0.52 ((~![A_1: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | iLEQ(suc(z), suc(z))),
% 0.18/0.52 inference(modus_ponens,[status(thm)],[67, 66])).
% 0.18/0.52 tff(69,plain,
% 0.18/0.52 ((~tptp_fun__E_(|'0'|, f(suc(z)))) | tptp_fun__E_(f(z), f(suc(z))) | iLEQ(suc(z), suc(z))),
% 0.18/0.52 inference(unit_resolution,[status(thm)],[68, 62, 52])).
% 0.18/0.52 tff(70,plain,
% 0.18/0.52 (tptp_fun__E_(f(z), f(suc(z))) | iLEQ(suc(z), suc(z))),
% 0.18/0.52 inference(unit_resolution,[status(thm)],[69, 33])).
% 0.18/0.52 tff(71,plain,
% 0.18/0.52 (iLEQ(suc(z), suc(z))),
% 0.18/0.52 inference(unit_resolution,[status(thm)],[70, 1])).
% 0.18/0.52 tff(72,plain,
% 0.18/0.52 (^[B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : refl((tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | tptp_fun__E_(f(B_28), f(suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) <=> (tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | tptp_fun__E_(f(B_28), f(suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))))),
% 0.18/0.52 inference(bind,[status(th)],[])).
% 0.18/0.52 tff(73,plain,
% 0.18/0.52 (![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | tptp_fun__E_(f(B_28), f(suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) <=> ![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | tptp_fun__E_(f(B_28), f(suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))),
% 0.18/0.52 inference(quant_intro,[status(thm)],[72])).
% 0.18/0.52 tff(74,plain,
% 0.18/0.52 (![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | tptp_fun__E_(f(B_28), f(suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) <=> ![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | tptp_fun__E_(f(B_28), f(suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))),
% 0.18/0.52 inference(rewrite,[status(thm)],[])).
% 0.18/0.52 tff(75,plain,
% 0.18/0.52 (^[B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) <=> (((~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25)))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~iLEQ(suc(B_24), suc(B_25)))) <=> ((~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) <=> ((~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))))), ((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) <=> (((~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))))), rewrite((((~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))))), (((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) <=> (((~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1)))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) <=> ((~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) <=> ((~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))))), ((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) <=> (((~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))))), rewrite((((~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))))), (((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) <=> (((~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(B_28)))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(B_28)))) <=> ((~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) <=> ((~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))))), ((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) <=> (((~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~iLEQ(suc(A_1), suc(B_24)))))), rewrite((((~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~iLEQ(suc(A_1), suc(B_24)))) <=> ((~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) <=> ((~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))))), (((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) <=> (((~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~iLEQ(suc(B_26), suc(B_27)))))), rewrite((((~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~iLEQ(suc(B_26), suc(B_27)))) <=> ((~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) <=> ((~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))))), ((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) <=> (((~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(B_26)))))), rewrite((((~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) <=> ((~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) <=> ((~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))))), (((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) <=> (((~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))))), rewrite((((~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))))), ((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) <=> (((~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(B_24)))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(B_24)))) <=> ((~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) <=> ((~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))))), (((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) <=> (((~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))))), rewrite((((~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))))), ((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) <=> (((~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(B_27)))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(B_27)))) <=> ((~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) <=> ((~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))))), (((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_25)))) <=> (((~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(B_25)))))), rewrite((((~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(B_25)))) <=> ((~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_25)))) <=> ((~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))))), ((((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_25)))) | (~iLEQ(suc(B_27), suc(B_28)))) <=> (((~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~iLEQ(suc(B_27), suc(B_28)))))), rewrite((((~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~iLEQ(suc(B_27), suc(B_28)))) <=> ((~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_25)))) | (~iLEQ(suc(B_27), suc(B_28)))) <=> ((~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))))), (((((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_25)))) | (~iLEQ(suc(B_27), suc(B_28)))) | tptp_fun__E_(f(B_24), f(suc(B_24)))) <=> (((~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | tptp_fun__E_(f(B_24), f(suc(B_24)))))), rewrite((((~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | tptp_fun__E_(f(B_24), f(suc(B_24)))) <=> (tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_25)))) | (~iLEQ(suc(B_27), suc(B_28)))) | tptp_fun__E_(f(B_24), f(suc(B_24)))) <=> (tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))))), ((((((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_25)))) | (~iLEQ(suc(B_27), suc(B_28)))) | tptp_fun__E_(f(B_24), f(suc(B_24)))) | tptp_fun__E_(f(B_26), f(suc(B_26)))) <=> ((tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | tptp_fun__E_(f(B_26), f(suc(B_26)))))), rewrite(((tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | tptp_fun__E_(f(B_26), f(suc(B_26)))) <=> (tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_25)))) | (~iLEQ(suc(B_27), suc(B_28)))) | tptp_fun__E_(f(B_24), f(suc(B_24)))) | tptp_fun__E_(f(B_26), f(suc(B_26)))) <=> (tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))))), (((((((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_25)))) | (~iLEQ(suc(B_27), suc(B_28)))) | tptp_fun__E_(f(B_24), f(suc(B_24)))) | tptp_fun__E_(f(B_26), f(suc(B_26)))) | tptp_fun__E_(f(B_27), f(suc(B_27)))) <=> ((tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | tptp_fun__E_(f(B_27), f(suc(B_27)))))), rewrite(((tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | tptp_fun__E_(f(B_27), f(suc(B_27)))) <=> (tptp_fun__E_(f(B_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_25)))) | (~iLEQ(suc(B_27), suc(B_28)))) | tptp_fun__E_(f(B_24), f(suc(B_24)))) | tptp_fun__E_(f(B_26), f(suc(B_26)))) | tptp_fun__E_(f(B_27), f(suc(B_27)))) <=> (tptp_fun__E_(f(B_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))))), ((((((((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_25)))) | (~iLEQ(suc(B_27), suc(B_28)))) | tptp_fun__E_(f(B_24), f(suc(B_24)))) | tptp_fun__E_(f(B_26), f(suc(B_26)))) | tptp_fun__E_(f(B_27), f(suc(B_27)))) | tptp_fun__E_(f(B_25), f(suc(B_25)))) <=> ((tptp_fun__E_(f(B_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | tptp_fun__E_(f(B_25), f(suc(B_25)))))), rewrite(((tptp_fun__E_(f(B_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | tptp_fun__E_(f(B_25), f(suc(B_25)))) <=> (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((((((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_25)))) | (~iLEQ(suc(B_27), suc(B_28)))) | tptp_fun__E_(f(B_24), f(suc(B_24)))) | tptp_fun__E_(f(B_26), f(suc(B_26)))) | tptp_fun__E_(f(B_27), f(suc(B_27)))) | tptp_fun__E_(f(B_25), f(suc(B_25)))) <=> (tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))))), (((((((((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_25)))) | (~iLEQ(suc(B_27), suc(B_28)))) | tptp_fun__E_(f(B_24), f(suc(B_24)))) | tptp_fun__E_(f(B_26), f(suc(B_26)))) | tptp_fun__E_(f(B_27), f(suc(B_27)))) | tptp_fun__E_(f(B_25), f(suc(B_25)))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) <=> ((tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | tptp_fun__E_(f(A_1), f(suc(A_1)))))), rewrite(((tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) <=> (tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))), (((((((((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_25)))) | (~iLEQ(suc(B_27), suc(B_28)))) | tptp_fun__E_(f(B_24), f(suc(B_24)))) | tptp_fun__E_(f(B_26), f(suc(B_26)))) | tptp_fun__E_(f(B_27), f(suc(B_27)))) | tptp_fun__E_(f(B_25), f(suc(B_25)))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) <=> (tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))))), ((((((((((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_25)))) | (~iLEQ(suc(B_27), suc(B_28)))) | tptp_fun__E_(f(B_24), f(suc(B_24)))) | tptp_fun__E_(f(B_26), f(suc(B_26)))) | tptp_fun__E_(f(B_27), f(suc(B_27)))) | tptp_fun__E_(f(B_25), f(suc(B_25)))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | tptp_fun__E_(f(B_28), f(suc(B_28)))) <=> ((tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | tptp_fun__E_(f(B_28), f(suc(B_28)))))), rewrite(((tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26)))) | tptp_fun__E_(f(B_28), f(suc(B_28)))) <=> (tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | tptp_fun__E_(f(B_28), f(suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))), ((((((((((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_25)))) | (~iLEQ(suc(B_27), suc(B_28)))) | tptp_fun__E_(f(B_24), f(suc(B_24)))) | tptp_fun__E_(f(B_26), f(suc(B_26)))) | tptp_fun__E_(f(B_27), f(suc(B_27)))) | tptp_fun__E_(f(B_25), f(suc(B_25)))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | tptp_fun__E_(f(B_28), f(suc(B_28)))) <=> (tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | tptp_fun__E_(f(B_28), f(suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))))),
% 0.18/0.54 inference(bind,[status(th)],[])).
% 0.18/0.54 tff(76,plain,
% 0.18/0.54 (![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : (((((((((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_25)))) | (~iLEQ(suc(B_27), suc(B_28)))) | tptp_fun__E_(f(B_24), f(suc(B_24)))) | tptp_fun__E_(f(B_26), f(suc(B_26)))) | tptp_fun__E_(f(B_27), f(suc(B_27)))) | tptp_fun__E_(f(B_25), f(suc(B_25)))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | tptp_fun__E_(f(B_28), f(suc(B_28)))) <=> ![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | tptp_fun__E_(f(B_28), f(suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))),
% 0.18/0.54 inference(quant_intro,[status(thm)],[75])).
% 0.18/0.54 tff(77,axiom,(![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : (((((((((((((((((((((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(B_25)))) | (~iLEQ(suc(B_27), suc(B_28)))) | tptp_fun__E_(f(B_24), f(suc(B_24)))) | tptp_fun__E_(f(B_26), f(suc(B_26)))) | tptp_fun__E_(f(B_27), f(suc(B_27)))) | tptp_fun__E_(f(B_25), f(suc(B_25)))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | tptp_fun__E_(f(B_28), f(suc(B_28))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_1185')).
% 0.18/0.54 tff(78,plain,
% 0.18/0.54 (![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | tptp_fun__E_(f(B_28), f(suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))),
% 0.18/0.54 inference(modus_ponens,[status(thm)],[77, 76])).
% 0.18/0.54 tff(79,plain,
% 0.18/0.54 (![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | tptp_fun__E_(f(B_28), f(suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))),
% 0.18/0.54 inference(modus_ponens,[status(thm)],[78, 74])).
% 0.18/0.54 tff(80,plain,(
% 0.18/0.54 ![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | tptp_fun__E_(f(B_28), f(suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))),
% 0.18/0.55 inference(skolemize,[status(sab)],[79])).
% 0.18/0.55 tff(81,plain,
% 0.18/0.55 (![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | tptp_fun__E_(f(B_28), f(suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))),
% 0.18/0.55 inference(modus_ponens,[status(thm)],[80, 73])).
% 0.18/0.55 tff(82,plain,
% 0.18/0.55 (((~![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | tptp_fun__E_(f(B_28), f(suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))) | ((~tptp_fun__E_(|'0'|, f(suc(z)))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))))) <=> ((~![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | tptp_fun__E_(f(B_28), f(suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))))),
% 0.18/0.55 inference(rewrite,[status(thm)],[])).
% 0.18/0.55 tff(83,plain,
% 0.18/0.55 ((tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z)))) <=> ((~tptp_fun__E_(|'0'|, f(suc(z)))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))))),
% 0.18/0.55 inference(rewrite,[status(thm)],[])).
% 0.18/0.55 tff(84,plain,
% 0.18/0.55 (((~![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | tptp_fun__E_(f(B_28), f(suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))) | (tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))))) <=> ((~![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | tptp_fun__E_(f(B_28), f(suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))) | ((~tptp_fun__E_(|'0'|, f(suc(z)))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z)))))),
% 0.18/0.55 inference(monotonicity,[status(thm)],[83])).
% 0.18/0.55 tff(85,plain,
% 0.18/0.55 (((~![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | tptp_fun__E_(f(B_28), f(suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))) | (tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))))) <=> ((~![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | tptp_fun__E_(f(B_28), f(suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))))),
% 0.18/0.55 inference(transitivity,[status(thm)],[84, 82])).
% 0.18/0.55 tff(86,plain,
% 0.18/0.55 ((~![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | tptp_fun__E_(f(B_28), f(suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))) | (tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))))),
% 0.18/0.55 inference(quant_inst,[status(thm)],[])).
% 0.18/0.55 tff(87,plain,
% 0.18/0.55 ((~![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : (tptp_fun__E_(f(A_1), f(suc(A_1))) | tptp_fun__E_(f(B_25), f(suc(B_25))) | tptp_fun__E_(f(B_27), f(suc(B_27))) | tptp_fun__E_(f(B_26), f(suc(B_26))) | tptp_fun__E_(f(B_24), f(suc(B_24))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | tptp_fun__E_(f(B_28), f(suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z)))),
% 0.18/0.55 inference(modus_ponens,[status(thm)],[86, 85])).
% 0.18/0.55 tff(88,plain,
% 0.18/0.55 ($false),
% 0.18/0.55 inference(unit_resolution,[status(thm)],[87, 81, 52, 33, 1, 71])).
% 0.18/0.55 tff(89,plain,(tptp_fun__E_(f(z), f(suc(z)))), inference(lemma,lemma(discharge,[]))).
% 0.18/0.55 tff(90,assumption,(~tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))), introduced(assumption)).
% 0.18/0.55 tff(91,plain,
% 0.18/0.55 ((~![A: $i] : tptp_fun__LE_(f(A), s(|'0'|))) | tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))),
% 0.18/0.55 inference(quant_inst,[status(thm)],[])).
% 0.18/0.55 tff(92,plain,
% 0.18/0.55 ($false),
% 0.18/0.55 inference(unit_resolution,[status(thm)],[91, 9, 90])).
% 0.18/0.55 tff(93,plain,(tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))), inference(lemma,lemma(discharge,[]))).
% 0.18/0.55 tff(94,plain,
% 0.18/0.55 (^[B_23: $i] : refl(((~tptp_fun__LE_(f(suc(suc(B_23))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_23)))) | tptp_fun__LE_(f(B_23), |'0'|)) <=> ((~tptp_fun__LE_(f(suc(suc(B_23))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_23)))) | tptp_fun__LE_(f(B_23), |'0'|)))),
% 0.18/0.55 inference(bind,[status(th)],[])).
% 0.18/0.55 tff(95,plain,
% 0.18/0.55 (![B_23: $i] : ((~tptp_fun__LE_(f(suc(suc(B_23))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_23)))) | tptp_fun__LE_(f(B_23), |'0'|)) <=> ![B_23: $i] : ((~tptp_fun__LE_(f(suc(suc(B_23))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_23)))) | tptp_fun__LE_(f(B_23), |'0'|))),
% 0.18/0.55 inference(quant_intro,[status(thm)],[94])).
% 0.18/0.55 tff(96,plain,
% 0.18/0.55 (![B_23: $i] : ((~tptp_fun__LE_(f(suc(suc(B_23))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_23)))) | tptp_fun__LE_(f(B_23), |'0'|)) <=> ![B_23: $i] : ((~tptp_fun__LE_(f(suc(suc(B_23))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_23)))) | tptp_fun__LE_(f(B_23), |'0'|))),
% 0.18/0.55 inference(rewrite,[status(thm)],[])).
% 0.18/0.55 tff(97,plain,
% 0.18/0.55 (^[B_23: $i] : rewrite((((~tptp_fun__LE_(f(suc(suc(B_23))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_23))))) | tptp_fun__LE_(f(B_23), |'0'|)) <=> ((~tptp_fun__LE_(f(suc(suc(B_23))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_23)))) | tptp_fun__LE_(f(B_23), |'0'|)))),
% 0.18/0.55 inference(bind,[status(th)],[])).
% 0.18/0.55 tff(98,plain,
% 0.18/0.55 (![B_23: $i] : (((~tptp_fun__LE_(f(suc(suc(B_23))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_23))))) | tptp_fun__LE_(f(B_23), |'0'|)) <=> ![B_23: $i] : ((~tptp_fun__LE_(f(suc(suc(B_23))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_23)))) | tptp_fun__LE_(f(B_23), |'0'|))),
% 0.18/0.55 inference(quant_intro,[status(thm)],[97])).
% 0.18/0.55 tff(99,axiom,(![B_23: $i] : (((~tptp_fun__LE_(f(suc(suc(B_23))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_23))))) | tptp_fun__LE_(f(B_23), |'0'|))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_73')).
% 0.18/0.55 tff(100,plain,
% 0.18/0.55 (![B_23: $i] : ((~tptp_fun__LE_(f(suc(suc(B_23))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_23)))) | tptp_fun__LE_(f(B_23), |'0'|))),
% 0.18/0.55 inference(modus_ponens,[status(thm)],[99, 98])).
% 0.18/0.55 tff(101,plain,
% 0.18/0.55 (![B_23: $i] : ((~tptp_fun__LE_(f(suc(suc(B_23))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_23)))) | tptp_fun__LE_(f(B_23), |'0'|))),
% 0.18/0.55 inference(modus_ponens,[status(thm)],[100, 96])).
% 0.18/0.55 tff(102,plain,(
% 0.18/0.55 ![B_23: $i] : ((~tptp_fun__LE_(f(suc(suc(B_23))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_23)))) | tptp_fun__LE_(f(B_23), |'0'|))),
% 0.18/0.55 inference(skolemize,[status(sab)],[101])).
% 0.18/0.55 tff(103,plain,
% 0.18/0.55 (![B_23: $i] : ((~tptp_fun__LE_(f(suc(suc(B_23))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_23)))) | tptp_fun__LE_(f(B_23), |'0'|))),
% 0.18/0.55 inference(modus_ponens,[status(thm)],[102, 95])).
% 0.18/0.55 tff(104,plain,
% 0.18/0.55 (((~![B_23: $i] : ((~tptp_fun__LE_(f(suc(suc(B_23))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_23)))) | tptp_fun__LE_(f(B_23), |'0'|))) | (tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(z)))))) <=> ((~![B_23: $i] : ((~tptp_fun__LE_(f(suc(suc(B_23))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_23)))) | tptp_fun__LE_(f(B_23), |'0'|))) | tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(z)))))),
% 0.18/0.55 inference(rewrite,[status(thm)],[])).
% 0.18/0.55 tff(105,plain,
% 0.18/0.55 (((~tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(z)))) | tptp_fun__LE_(f(z), |'0'|)) <=> (tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(z)))))),
% 0.18/0.55 inference(rewrite,[status(thm)],[])).
% 0.18/0.55 tff(106,plain,
% 0.18/0.55 (((~![B_23: $i] : ((~tptp_fun__LE_(f(suc(suc(B_23))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_23)))) | tptp_fun__LE_(f(B_23), |'0'|))) | ((~tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(z)))) | tptp_fun__LE_(f(z), |'0'|))) <=> ((~![B_23: $i] : ((~tptp_fun__LE_(f(suc(suc(B_23))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_23)))) | tptp_fun__LE_(f(B_23), |'0'|))) | (tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(z))))))),
% 0.18/0.55 inference(monotonicity,[status(thm)],[105])).
% 0.18/0.55 tff(107,plain,
% 0.18/0.55 (((~![B_23: $i] : ((~tptp_fun__LE_(f(suc(suc(B_23))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_23)))) | tptp_fun__LE_(f(B_23), |'0'|))) | ((~tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(z)))) | tptp_fun__LE_(f(z), |'0'|))) <=> ((~![B_23: $i] : ((~tptp_fun__LE_(f(suc(suc(B_23))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_23)))) | tptp_fun__LE_(f(B_23), |'0'|))) | tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(z)))))),
% 0.18/0.55 inference(transitivity,[status(thm)],[106, 104])).
% 0.18/0.55 tff(108,plain,
% 0.18/0.55 ((~![B_23: $i] : ((~tptp_fun__LE_(f(suc(suc(B_23))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_23)))) | tptp_fun__LE_(f(B_23), |'0'|))) | ((~tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(z)))) | tptp_fun__LE_(f(z), |'0'|))),
% 0.18/0.55 inference(quant_inst,[status(thm)],[])).
% 0.18/0.55 tff(109,plain,
% 0.18/0.55 ((~![B_23: $i] : ((~tptp_fun__LE_(f(suc(suc(B_23))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_23)))) | tptp_fun__LE_(f(B_23), |'0'|))) | tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(z))))),
% 0.18/0.55 inference(modus_ponens,[status(thm)],[108, 107])).
% 0.18/0.55 tff(110,plain,
% 0.18/0.55 ((~tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(z))))),
% 0.18/0.55 inference(unit_resolution,[status(thm)],[109, 25, 103])).
% 0.18/0.55 tff(111,plain,
% 0.18/0.55 (tptp_fun__E_(|'0'|, f(suc(suc(z))))),
% 0.18/0.55 inference(unit_resolution,[status(thm)],[110, 93])).
% 0.18/0.55 tff(112,plain,
% 0.18/0.55 (^[A_1: $i] : refl(((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1))) <=> ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1))))),
% 0.18/0.55 inference(bind,[status(th)],[])).
% 0.18/0.55 tff(113,plain,
% 0.18/0.55 (![A_1: $i] : ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1))) <=> ![A_1: $i] : ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))),
% 0.18/0.55 inference(quant_intro,[status(thm)],[112])).
% 0.18/0.55 tff(114,plain,
% 0.18/0.55 (![A_1: $i] : ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1))) <=> ![A_1: $i] : ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))),
% 0.18/0.55 inference(rewrite,[status(thm)],[])).
% 0.18/0.55 tff(115,plain,
% 0.18/0.55 (^[A_1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))))), ((((~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) <=> (((~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) <=> ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))))), ((((~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) <=> ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))))), (((((~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) <=> (((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))))), rewrite((((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) <=> ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))))), (((((~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) <=> ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))))), ((((((~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | iLEQ(suc(A_1), suc(A_1))) <=> (((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | iLEQ(suc(A_1), suc(A_1))))), rewrite((((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | iLEQ(suc(A_1), suc(A_1))) <=> ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))), ((((((~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | iLEQ(suc(A_1), suc(A_1))) <=> ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))))),
% 0.18/0.55 inference(bind,[status(th)],[])).
% 0.18/0.55 tff(116,plain,
% 0.18/0.55 (![A_1: $i] : (((((~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | iLEQ(suc(A_1), suc(A_1))) <=> ![A_1: $i] : ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))),
% 0.18/0.55 inference(quant_intro,[status(thm)],[115])).
% 0.18/0.55 tff(117,axiom,(![A_1: $i] : (((((~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | iLEQ(suc(A_1), suc(A_1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_854')).
% 0.18/0.55 tff(118,plain,
% 0.18/0.55 (![A_1: $i] : ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))),
% 0.18/0.55 inference(modus_ponens,[status(thm)],[117, 116])).
% 0.18/0.55 tff(119,plain,
% 0.18/0.55 (![A_1: $i] : ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))),
% 0.18/0.55 inference(modus_ponens,[status(thm)],[118, 114])).
% 0.18/0.56 tff(120,plain,(
% 0.18/0.56 ![A_1: $i] : ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))),
% 0.18/0.56 inference(skolemize,[status(sab)],[119])).
% 0.18/0.56 tff(121,plain,
% 0.18/0.56 (![A_1: $i] : ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))),
% 0.18/0.56 inference(modus_ponens,[status(thm)],[120, 113])).
% 0.18/0.56 tff(122,plain,
% 0.18/0.56 (((~![A_1: $i] : ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))) | ((~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | iLEQ(suc(z), suc(z)))) <=> ((~![A_1: $i] : ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | iLEQ(suc(z), suc(z)))),
% 0.18/0.56 inference(rewrite,[status(thm)],[])).
% 0.18/0.56 tff(123,plain,
% 0.18/0.56 (((~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | iLEQ(suc(z), suc(z))) <=> ((~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | iLEQ(suc(z), suc(z)))),
% 0.18/0.56 inference(rewrite,[status(thm)],[])).
% 0.18/0.56 tff(124,plain,
% 0.18/0.56 (((~![A_1: $i] : ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))) | ((~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | iLEQ(suc(z), suc(z)))) <=> ((~![A_1: $i] : ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))) | ((~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | iLEQ(suc(z), suc(z))))),
% 0.18/0.56 inference(monotonicity,[status(thm)],[123])).
% 0.18/0.56 tff(125,plain,
% 0.18/0.56 (((~![A_1: $i] : ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))) | ((~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | iLEQ(suc(z), suc(z)))) <=> ((~![A_1: $i] : ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | iLEQ(suc(z), suc(z)))),
% 0.18/0.56 inference(transitivity,[status(thm)],[124, 122])).
% 0.18/0.56 tff(126,plain,
% 0.18/0.56 ((~![A_1: $i] : ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))) | ((~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | iLEQ(suc(z), suc(z)))),
% 0.18/0.56 inference(quant_inst,[status(thm)],[])).
% 0.18/0.56 tff(127,plain,
% 0.18/0.56 ((~![A_1: $i] : ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | iLEQ(suc(z), suc(z))),
% 0.18/0.56 inference(modus_ponens,[status(thm)],[126, 125])).
% 0.18/0.56 tff(128,plain,
% 0.18/0.56 ((~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | iLEQ(suc(z), suc(z))),
% 0.18/0.56 inference(unit_resolution,[status(thm)],[127, 121, 52, 111])).
% 0.18/0.56 tff(129,plain,
% 0.18/0.56 ((~tptp_fun__E_(f(z), f(suc(z)))) | iLEQ(suc(z), suc(z))),
% 0.18/0.56 inference(unit_resolution,[status(thm)],[128, 33])).
% 0.18/0.56 tff(130,plain,
% 0.18/0.56 (iLEQ(suc(z), suc(z))),
% 0.18/0.56 inference(unit_resolution,[status(thm)],[129, 89])).
% 0.18/0.56 tff(131,plain,
% 0.18/0.56 (^[B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : refl(((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))))),
% 0.18/0.56 inference(bind,[status(th)],[])).
% 0.18/0.56 tff(132,plain,
% 0.18/0.56 (![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) <=> ![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))),
% 0.18/0.56 inference(quant_intro,[status(thm)],[131])).
% 0.18/0.56 tff(133,plain,
% 0.18/0.56 (![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) <=> ![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))),
% 0.18/0.56 inference(rewrite,[status(thm)],[])).
% 0.18/0.56 tff(134,plain,
% 0.18/0.56 (^[B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) <=> ((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))))), ((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) <=> (((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))))), rewrite((((~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))))), ((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28)))))))), (((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) <=> (((~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))))), (((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28)))))))), ((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) <=> (((~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28)))))) | (~iLEQ(suc(B_24), suc(B_25)))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28)))))) | (~iLEQ(suc(B_24), suc(B_25)))) <=> ((~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))))), ((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) <=> ((~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28)))))))), (((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) <=> (((~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28)))))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))))), rewrite((((~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28)))))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))))), (((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28)))))))), ((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))))), ((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28)))))))), (((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))))), (((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28)))))))), ((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28)))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28)))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))))), ((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))))), (((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))))), (((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))))), ((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))))), ((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))))), (((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(A_1)))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))))), (((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))))), ((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))))), ((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))))), (((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))))), (((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))))), ((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~iLEQ(suc(A_1), suc(B_24)))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~iLEQ(suc(A_1), suc(B_24)))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))))), ((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))))), (((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))), (((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))))), ((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))), ((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))))), (((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))), (((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))))), ((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))), ((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))))), (((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))), (((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))))), ((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(B_26)))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~tptp_fun__E_(|'0'|, f(B_26)))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~tptp_fun__E_(|'0'|, f(B_26)))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))), ((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(B_26)))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))))), (((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28))))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~tptp_fun__E_(f(B_28), f(suc(B_28))))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~tptp_fun__E_(f(B_28), f(suc(B_28))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))), (((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))))), ((((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))), ((((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))))), (((((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~tptp_fun__E_(|'0'|, f(B_24)))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))), (((((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))))), ((((((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))), ((((((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))))), (((((((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~tptp_fun__E_(|'0'|, f(B_27)))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))), (((((((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))))), ((((((((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26)))))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26)))))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26)))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))), ((((((((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26)))))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))))), (((((((((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26)))))) | (~tptp_fun__E_(|'0'|, f(B_25)))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~tptp_fun__E_(|'0'|, f(B_25)))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~tptp_fun__E_(|'0'|, f(B_25)))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))), (((((((((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26)))))) | (~tptp_fun__E_(|'0'|, f(B_25)))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))))), ((((((((((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26)))))) | (~tptp_fun__E_(|'0'|, f(B_25)))) | (~iLEQ(suc(B_27), suc(B_28)))) <=> (((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_27), suc(B_28)))))), rewrite((((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_27), suc(B_28)))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))), ((((((((((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26)))))) | (~tptp_fun__E_(|'0'|, f(B_25)))) | (~iLEQ(suc(B_27), suc(B_28)))) <=> ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))))),
% 0.18/0.59 inference(bind,[status(th)],[])).
% 0.18/0.59 tff(135,plain,
% 0.18/0.59 (![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : (((((((((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26)))))) | (~tptp_fun__E_(|'0'|, f(B_25)))) | (~iLEQ(suc(B_27), suc(B_28)))) <=> ![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))),
% 0.18/0.59 inference(quant_intro,[status(thm)],[134])).
% 0.18/0.59 tff(136,axiom,(![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : (((((((((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~iLEQ(suc(B_25), suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(B_27))))) | (~iLEQ(suc(B_24), suc(B_25)))) | (~tptp_fun__E_(f(B_24), f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(B_26))))) | (~tptp_fun__E_(|'0'|, f(B_28)))) | (~iLEQ(suc(A_1), suc(B_24)))) | (~tptp_fun__E_(f(B_27), f(suc(B_27))))) | (~iLEQ(suc(B_26), suc(B_27)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27)))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(B_26)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(B_24))))) | (~tptp_fun__E_(|'0'|, f(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26)))))) | (~tptp_fun__E_(|'0'|, f(B_25)))) | (~iLEQ(suc(B_27), suc(B_28))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_1201')).
% 0.18/0.59 tff(137,plain,
% 0.18/0.59 (![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))),
% 0.18/0.59 inference(modus_ponens,[status(thm)],[136, 135])).
% 0.18/0.59 tff(138,plain,
% 0.18/0.59 (![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))),
% 0.18/0.59 inference(modus_ponens,[status(thm)],[137, 133])).
% 0.18/0.59 tff(139,plain,(
% 0.18/0.59 ![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))),
% 0.18/0.59 inference(skolemize,[status(sab)],[138])).
% 0.18/0.59 tff(140,plain,
% 0.18/0.59 (![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[139, 132])).
% 0.43/0.60 tff(141,plain,
% 0.43/0.60 (((~![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))) | ((~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))))) <=> ((~![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))))),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(142,plain,
% 0.43/0.60 (((~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(143,plain,
% 0.43/0.61 (((~![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))) | ((~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))))) <=> ((~![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))) | ((~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z)))))),
% 0.43/0.61 inference(monotonicity,[status(thm)],[142])).
% 0.43/0.61 tff(144,plain,
% 0.43/0.61 (((~![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))) | ((~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))))) <=> ((~![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))))),
% 0.43/0.61 inference(transitivity,[status(thm)],[143, 141])).
% 0.43/0.61 tff(145,plain,
% 0.43/0.61 ((~![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))) | ((~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))))),
% 0.46/0.65 inference(quant_inst,[status(thm)],[])).
% 0.46/0.65 tff(146,plain,
% 0.46/0.65 ((~![B_28: $i, B_25: $i, B_27: $i, A_1: $i, B_26: $i, B_24: $i] : ((~tptp_fun__E_(f(B_24), f(suc(B_24)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_24))))) | (~iLEQ(suc(B_27), suc(B_28))) | (~tptp_fun__E_(|'0'|, f(B_25))) | (~tptp_fun__E_(|'0'|, f(B_27))) | (~tptp_fun__E_(|'0'|, f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_24))) | (~tptp_fun__E_(|'0'|, f(suc(B_24)))) | (~tptp_fun__E_(f(B_28), f(suc(B_28)))) | (~tptp_fun__E_(|'0'|, f(B_26))) | (~iLEQ(suc(B_26), suc(B_27))) | (~iLEQ(suc(A_1), suc(B_24))) | (~tptp_fun__E_(|'0'|, f(B_28))) | (~tptp_fun__E_(|'0'|, f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_24), suc(B_25))) | (~tptp_fun__E_(|'0'|, f(suc(B_27)))) | (~tptp_fun__E_(|'0'|, f(suc(B_25)))) | (~iLEQ(suc(B_25), suc(B_26))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_28))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_26))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(f(B_25), f(suc(B_25)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_25))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(f(B_26), f(suc(B_26)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_27))))) | (~tptp_fun__E_(f(B_27), f(suc(B_27)))))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z)))),
% 0.46/0.65 inference(modus_ponens,[status(thm)],[145, 144])).
% 0.46/0.65 tff(147,plain,
% 0.46/0.65 ($false),
% 0.46/0.65 inference(unit_resolution,[status(thm)],[146, 140, 52, 111, 33, 89, 130])).
% 0.46/0.65 % SZS output end Proof
% 0.46/0.65 % E exiting
%------------------------------------------------------------------------------