%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYO655-1 : TPTP v9.0.0. Released v7.3.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n016.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 0.21s 0.45s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO655-1 : TPTP v9.0.0. Released v7.3.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jun 20 13:22:02 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.21/0.45 % SZS status Unsatisfiable
% 0.21/0.45 % SZS output start Proof
% 0.21/0.45 tff(tptp_fun__E__type, type, (
% 0.21/0.45 tptp_fun__E_: ( $i * $i ) > $o)).
% 0.21/0.45 tff(f_type, type, (
% 0.21/0.45 f: $i > $i)).
% 0.21/0.45 tff(suc_type, type, (
% 0.21/0.45 suc: $i > $i)).
% 0.21/0.45 tff(z_type, type, (
% 0.21/0.45 z: $i)).
% 0.21/0.45 tff(iLEQ_type, type, (
% 0.21/0.45 iLEQ: ( $i * $i ) > $o)).
% 0.21/0.45 tff(tptp_fun__0__type, type, (
% 0.21/0.45 tptp_fun__0_: $i)).
% 0.21/0.45 tff(tptp_fun__LE__type, type, (
% 0.21/0.45 tptp_fun__LE_: ( $i * $i ) > $o)).
% 0.21/0.45 tff(s_type, type, (
% 0.21/0.45 s: $i > $i)).
% 0.21/0.45 tff(1,assumption,(~iLEQ(suc(z), suc(z))), introduced(assumption)).
% 0.21/0.45 tff(2,assumption,(~tptp_fun__LE_(f(suc(z)), s(|'0'|))), introduced(assumption)).
% 0.21/0.45 tff(3,plain,
% 0.21/0.45 (^[A: $i] : refl(tptp_fun__LE_(f(A), s(|'0'|)) <=> tptp_fun__LE_(f(A), s(|'0'|)))),
% 0.21/0.45 inference(bind,[status(th)],[])).
% 0.21/0.45 tff(4,plain,
% 0.21/0.45 (![A: $i] : tptp_fun__LE_(f(A), s(|'0'|)) <=> ![A: $i] : tptp_fun__LE_(f(A), s(|'0'|))),
% 0.21/0.45 inference(quant_intro,[status(thm)],[3])).
% 0.21/0.45 tff(5,plain,
% 0.21/0.45 (![A: $i] : tptp_fun__LE_(f(A), s(|'0'|)) <=> ![A: $i] : tptp_fun__LE_(f(A), s(|'0'|))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(6,axiom,(![A: $i] : tptp_fun__LE_(f(A), s(|'0'|))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_497')).
% 0.21/0.45 tff(7,plain,
% 0.21/0.45 (![A: $i] : tptp_fun__LE_(f(A), s(|'0'|))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[6, 5])).
% 0.21/0.45 tff(8,plain,(
% 0.21/0.45 ![A: $i] : tptp_fun__LE_(f(A), s(|'0'|))),
% 0.21/0.45 inference(skolemize,[status(sab)],[7])).
% 0.21/0.45 tff(9,plain,
% 0.21/0.45 (![A: $i] : tptp_fun__LE_(f(A), s(|'0'|))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[8, 4])).
% 0.21/0.45 tff(10,plain,
% 0.21/0.45 ((~![A: $i] : tptp_fun__LE_(f(A), s(|'0'|))) | tptp_fun__LE_(f(suc(z)), s(|'0'|))),
% 0.21/0.45 inference(quant_inst,[status(thm)],[])).
% 0.21/0.45 tff(11,plain,
% 0.21/0.45 ($false),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[10, 9, 2])).
% 0.21/0.45 tff(12,plain,(tptp_fun__LE_(f(suc(z)), s(|'0'|))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.45 tff(13,plain,
% 0.21/0.45 ((~tptp_fun__LE_(f(z), |'0'|)) <=> (~tptp_fun__LE_(f(z), |'0'|))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(14,axiom,(~tptp_fun__LE_(f(z), |'0'|)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_269')).
% 0.21/0.45 tff(15,plain,
% 0.21/0.45 (~tptp_fun__LE_(f(z), |'0'|)),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[14, 13])).
% 0.21/0.45 tff(16,plain,
% 0.21/0.45 (^[B_16: $i] : refl((tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(B_16)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_16)))) <=> (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(B_16)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_16)))))),
% 0.21/0.45 inference(bind,[status(th)],[])).
% 0.21/0.45 tff(17,plain,
% 0.21/0.45 (![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(B_16)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_16)))) <=> ![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(B_16)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_16))))),
% 0.21/0.45 inference(quant_intro,[status(thm)],[16])).
% 0.21/0.45 tff(18,plain,
% 0.21/0.45 (![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(B_16)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_16)))) <=> ![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(B_16)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_16))))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(19,plain,
% 0.21/0.45 (^[B_16: $i] : rewrite((((~tptp_fun__LE_(f(suc(B_16)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_16)))) | tptp_fun__LE_(f(B_16), |'0'|)) <=> (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(B_16)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_16)))))),
% 0.21/0.45 inference(bind,[status(th)],[])).
% 0.21/0.45 tff(20,plain,
% 0.21/0.45 (![B_16: $i] : (((~tptp_fun__LE_(f(suc(B_16)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_16)))) | tptp_fun__LE_(f(B_16), |'0'|)) <=> ![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(B_16)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_16))))),
% 0.21/0.45 inference(quant_intro,[status(thm)],[19])).
% 0.21/0.45 tff(21,axiom,(![B_16: $i] : (((~tptp_fun__LE_(f(suc(B_16)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_16)))) | tptp_fun__LE_(f(B_16), |'0'|))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_5')).
% 0.21/0.45 tff(22,plain,
% 0.21/0.45 (![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(B_16)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_16))))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[21, 20])).
% 0.21/0.45 tff(23,plain,
% 0.21/0.45 (![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(B_16)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_16))))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[22, 18])).
% 0.21/0.45 tff(24,plain,(
% 0.21/0.45 ![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(B_16)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_16))))),
% 0.21/0.45 inference(skolemize,[status(sab)],[23])).
% 0.21/0.45 tff(25,plain,
% 0.21/0.45 (![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(B_16)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_16))))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[24, 17])).
% 0.21/0.45 tff(26,plain,
% 0.21/0.45 (((~![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(B_16)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_16))))) | (tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(suc(z)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(z))))) <=> ((~![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(B_16)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_16))))) | tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(suc(z)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(z))))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(27,plain,
% 0.21/0.45 ((~![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(B_16)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_16))))) | (tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(suc(z)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(z))))),
% 0.21/0.45 inference(quant_inst,[status(thm)],[])).
% 0.21/0.45 tff(28,plain,
% 0.21/0.45 ((~![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(B_16)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(B_16))))) | tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(suc(z)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(z)))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[27, 26])).
% 0.21/0.45 tff(29,plain,
% 0.21/0.45 ((~tptp_fun__LE_(f(suc(z)), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(z)))),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[28, 25, 15])).
% 0.21/0.45 tff(30,plain,
% 0.21/0.45 (tptp_fun__E_(|'0'|, f(suc(z)))),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[29, 12])).
% 0.21/0.45 tff(31,plain,
% 0.21/0.45 ((~![A: $i] : tptp_fun__LE_(f(A), s(|'0'|))) | tptp_fun__LE_(f(z), s(|'0'|))),
% 0.21/0.45 inference(quant_inst,[status(thm)],[])).
% 0.21/0.45 tff(32,plain,
% 0.21/0.45 (tptp_fun__LE_(f(z), s(|'0'|))),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[31, 9])).
% 0.21/0.45 tff(33,plain,
% 0.21/0.45 (^[B_16: $i] : refl((tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(B_16), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_16))) <=> (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(B_16), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_16))))),
% 0.21/0.45 inference(bind,[status(th)],[])).
% 0.21/0.45 tff(34,plain,
% 0.21/0.45 (![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(B_16), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_16))) <=> ![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(B_16), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_16)))),
% 0.21/0.45 inference(quant_intro,[status(thm)],[33])).
% 0.21/0.45 tff(35,plain,
% 0.21/0.45 (![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(B_16), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_16))) <=> ![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(B_16), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_16)))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(36,plain,
% 0.21/0.45 (^[B_16: $i] : rewrite((((~tptp_fun__LE_(f(B_16), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_16))) | tptp_fun__LE_(f(B_16), |'0'|)) <=> (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(B_16), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_16))))),
% 0.21/0.45 inference(bind,[status(th)],[])).
% 0.21/0.45 tff(37,plain,
% 0.21/0.45 (![B_16: $i] : (((~tptp_fun__LE_(f(B_16), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_16))) | tptp_fun__LE_(f(B_16), |'0'|)) <=> ![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(B_16), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_16)))),
% 0.21/0.45 inference(quant_intro,[status(thm)],[36])).
% 0.21/0.45 tff(38,axiom,(![B_16: $i] : (((~tptp_fun__LE_(f(B_16), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_16))) | tptp_fun__LE_(f(B_16), |'0'|))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_513')).
% 0.21/0.45 tff(39,plain,
% 0.21/0.45 (![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(B_16), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_16)))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[38, 37])).
% 0.21/0.45 tff(40,plain,
% 0.21/0.45 (![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(B_16), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_16)))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[39, 35])).
% 0.21/0.45 tff(41,plain,(
% 0.21/0.45 ![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(B_16), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_16)))),
% 0.21/0.45 inference(skolemize,[status(sab)],[40])).
% 0.21/0.45 tff(42,plain,
% 0.21/0.45 (![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(B_16), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_16)))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[41, 34])).
% 0.21/0.45 tff(43,plain,
% 0.21/0.45 (((~![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(B_16), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_16)))) | (tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(z), s(|'0'|))) | tptp_fun__E_(|'0'|, f(z)))) <=> ((~![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(B_16), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_16)))) | tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(z), s(|'0'|))) | tptp_fun__E_(|'0'|, f(z)))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(44,plain,
% 0.21/0.45 ((~![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(B_16), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_16)))) | (tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(z), s(|'0'|))) | tptp_fun__E_(|'0'|, f(z)))),
% 0.21/0.45 inference(quant_inst,[status(thm)],[])).
% 0.21/0.45 tff(45,plain,
% 0.21/0.45 ((~![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(B_16), s(|'0'|))) | tptp_fun__E_(|'0'|, f(B_16)))) | tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(z), s(|'0'|))) | tptp_fun__E_(|'0'|, f(z))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[44, 43])).
% 0.21/0.45 tff(46,plain,
% 0.21/0.45 ((~tptp_fun__LE_(f(z), s(|'0'|))) | tptp_fun__E_(|'0'|, f(z))),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[45, 15, 42])).
% 0.21/0.45 tff(47,plain,
% 0.21/0.45 (tptp_fun__E_(|'0'|, f(z))),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[46, 32])).
% 0.21/0.45 tff(48,plain,
% 0.21/0.45 (^[A_1: $i] : refl((iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) <=> (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))))),
% 0.21/0.45 inference(bind,[status(th)],[])).
% 0.21/0.45 tff(49,plain,
% 0.21/0.45 (![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) <=> ![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))))),
% 0.21/0.45 inference(quant_intro,[status(thm)],[48])).
% 0.21/0.45 tff(50,plain,
% 0.21/0.45 (![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) <=> ![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(51,plain,
% 0.21/0.45 (^[A_1: $i] : trans(monotonicity(rewrite((((~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) <=> (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))))), (((((~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1))) <=> ((tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | iLEQ(suc(A_1), suc(A_1))))), rewrite(((tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | iLEQ(suc(A_1), suc(A_1))) <=> (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))))), (((((~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1))) <=> (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))))))),
% 0.21/0.46 inference(bind,[status(th)],[])).
% 0.21/0.46 tff(52,plain,
% 0.21/0.46 (![A_1: $i] : ((((~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1))) <=> ![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))))),
% 0.21/0.46 inference(quant_intro,[status(thm)],[51])).
% 0.21/0.46 tff(53,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_84')).
% 0.21/0.46 tff(54,plain,
% 0.21/0.46 (![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[53, 52])).
% 0.21/0.46 tff(55,plain,
% 0.21/0.46 (![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[54, 50])).
% 0.21/0.46 tff(56,plain,(
% 0.21/0.46 ![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))))),
% 0.21/0.46 inference(skolemize,[status(sab)],[55])).
% 0.21/0.46 tff(57,plain,
% 0.21/0.46 (![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[56, 49])).
% 0.21/0.46 tff(58,plain,
% 0.21/0.46 (((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))))) | (iLEQ(suc(z), suc(z)) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))))) <=> ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))))) | iLEQ(suc(z), suc(z)) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(59,plain,
% 0.21/0.46 ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))))) | (iLEQ(suc(z), suc(z)) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))))),
% 0.21/0.46 inference(quant_inst,[status(thm)],[])).
% 0.21/0.46 tff(60,plain,
% 0.21/0.46 ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))))) | iLEQ(suc(z), suc(z)) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z))))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[59, 58])).
% 0.21/0.46 tff(61,plain,
% 0.21/0.46 (iLEQ(suc(z), suc(z)) | tptp_fun__E_(f(z), f(suc(z)))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[60, 57, 47, 30])).
% 0.21/0.46 tff(62,plain,
% 0.21/0.46 (tptp_fun__E_(f(z), f(suc(z)))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[61, 1])).
% 0.21/0.46 tff(63,assumption,(~tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))), introduced(assumption)).
% 0.21/0.46 tff(64,plain,
% 0.21/0.46 ((~![A: $i] : tptp_fun__LE_(f(A), s(|'0'|))) | tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))),
% 0.21/0.46 inference(quant_inst,[status(thm)],[])).
% 0.21/0.46 tff(65,plain,
% 0.21/0.46 ($false),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[64, 9, 63])).
% 0.21/0.46 tff(66,plain,(tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.46 tff(67,plain,
% 0.21/0.46 (^[B_16: $i] : refl((tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(suc(B_16))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_16))))) <=> (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(suc(B_16))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_16))))))),
% 0.21/0.46 inference(bind,[status(th)],[])).
% 0.21/0.46 tff(68,plain,
% 0.21/0.46 (![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(suc(B_16))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_16))))) <=> ![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(suc(B_16))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_16)))))),
% 0.21/0.46 inference(quant_intro,[status(thm)],[67])).
% 0.21/0.46 tff(69,plain,
% 0.21/0.46 (![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(suc(B_16))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_16))))) <=> ![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(suc(B_16))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_16)))))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(70,plain,
% 0.21/0.46 (^[B_16: $i] : rewrite((((~tptp_fun__LE_(f(suc(suc(B_16))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_16))))) | tptp_fun__LE_(f(B_16), |'0'|)) <=> (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(suc(B_16))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_16))))))),
% 0.21/0.46 inference(bind,[status(th)],[])).
% 0.21/0.46 tff(71,plain,
% 0.21/0.46 (![B_16: $i] : (((~tptp_fun__LE_(f(suc(suc(B_16))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_16))))) | tptp_fun__LE_(f(B_16), |'0'|)) <=> ![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(suc(B_16))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_16)))))),
% 0.21/0.46 inference(quant_intro,[status(thm)],[70])).
% 0.21/0.46 tff(72,axiom,(![B_16: $i] : (((~tptp_fun__LE_(f(suc(suc(B_16))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_16))))) | tptp_fun__LE_(f(B_16), |'0'|))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_72')).
% 0.21/0.46 tff(73,plain,
% 0.21/0.46 (![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(suc(B_16))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_16)))))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[72, 71])).
% 0.21/0.46 tff(74,plain,
% 0.21/0.46 (![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(suc(B_16))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_16)))))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[73, 69])).
% 0.21/0.46 tff(75,plain,(
% 0.21/0.46 ![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(suc(B_16))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_16)))))),
% 0.21/0.46 inference(skolemize,[status(sab)],[74])).
% 0.21/0.46 tff(76,plain,
% 0.21/0.46 (![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(suc(B_16))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_16)))))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[75, 68])).
% 0.21/0.46 tff(77,plain,
% 0.21/0.46 (((~![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(suc(B_16))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_16)))))) | (tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(z)))))) <=> ((~![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(suc(B_16))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_16)))))) | tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(z)))))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(78,plain,
% 0.21/0.46 ((~![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(suc(B_16))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_16)))))) | (tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(z)))))),
% 0.21/0.46 inference(quant_inst,[status(thm)],[])).
% 0.21/0.46 tff(79,plain,
% 0.21/0.46 ((~![B_16: $i] : (tptp_fun__LE_(f(B_16), |'0'|) | (~tptp_fun__LE_(f(suc(suc(B_16))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(B_16)))))) | tptp_fun__LE_(f(z), |'0'|) | (~tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(z))))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[78, 77])).
% 0.21/0.46 tff(80,plain,
% 0.21/0.46 ((~tptp_fun__LE_(f(suc(suc(z))), s(|'0'|))) | tptp_fun__E_(|'0'|, f(suc(suc(z))))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[79, 15, 76])).
% 0.21/0.46 tff(81,plain,
% 0.21/0.46 (tptp_fun__E_(|'0'|, f(suc(suc(z))))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[80, 66])).
% 0.21/0.46 tff(82,plain,
% 0.21/0.46 (^[A_1: $i] : refl((iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) <=> (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))))),
% 0.21/0.46 inference(bind,[status(th)],[])).
% 0.21/0.46 tff(83,plain,
% 0.21/0.46 (![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) <=> ![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))))),
% 0.21/0.46 inference(quant_intro,[status(thm)],[82])).
% 0.21/0.46 tff(84,plain,
% 0.21/0.46 (![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) <=> ![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(85,plain,
% 0.21/0.46 (^[A_1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))))), ((((~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) <=> (((~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) <=> ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))))), ((((~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) <=> ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))))), (((((~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) <=> (((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))))), rewrite((((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) <=> ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))))), (((((~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) <=> ((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))))), ((((((~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | iLEQ(suc(A_1), suc(A_1))) <=> (((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | iLEQ(suc(A_1), suc(A_1))))), rewrite((((~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | iLEQ(suc(A_1), suc(A_1))) <=> (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))))), ((((((~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | iLEQ(suc(A_1), suc(A_1))) <=> (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))))))),
% 0.21/0.46 inference(bind,[status(th)],[])).
% 0.21/0.46 tff(86,plain,
% 0.21/0.46 (![A_1: $i] : (((((~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | iLEQ(suc(A_1), suc(A_1))) <=> ![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))))),
% 0.21/0.46 inference(quant_intro,[status(thm)],[85])).
% 0.21/0.46 tff(87,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_379')).
% 0.21/0.46 tff(88,plain,
% 0.21/0.46 (![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[87, 86])).
% 0.21/0.46 tff(89,plain,
% 0.21/0.46 (![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[88, 84])).
% 0.21/0.46 tff(90,plain,(
% 0.21/0.46 ![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))))),
% 0.21/0.46 inference(skolemize,[status(sab)],[89])).
% 0.21/0.46 tff(91,plain,
% 0.21/0.46 (![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[90, 83])).
% 0.21/0.46 tff(92,plain,
% 0.21/0.46 (((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))))) | (iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))))) <=> ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))))) | iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(93,plain,
% 0.21/0.46 ((iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z))))) <=> (iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(94,plain,
% 0.21/0.46 (((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))))) | (iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))))) <=> ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))))) | (iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z)))))))),
% 0.21/0.46 inference(monotonicity,[status(thm)],[93])).
% 0.21/0.46 tff(95,plain,
% 0.21/0.46 (((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))))) | (iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))))) <=> ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))))) | iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))))),
% 0.21/0.47 inference(transitivity,[status(thm)],[94, 92])).
% 0.21/0.47 tff(96,plain,
% 0.21/0.47 ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))))) | (iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))))),
% 0.21/0.47 inference(quant_inst,[status(thm)],[])).
% 0.21/0.47 tff(97,plain,
% 0.21/0.47 ((~![A_1: $i] : (iLEQ(suc(A_1), suc(A_1)) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))))) | iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z)))))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[96, 95])).
% 0.21/0.47 tff(98,plain,
% 0.21/0.47 (iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z)))))),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[97, 91, 47, 30])).
% 0.21/0.47 tff(99,plain,
% 0.21/0.47 (iLEQ(suc(z), suc(z)) | (~tptp_fun__E_(f(z), f(suc(z))))),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[98, 81])).
% 0.21/0.47 tff(100,plain,
% 0.21/0.47 ($false),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[99, 62, 1])).
% 0.21/0.47 tff(101,plain,(iLEQ(suc(z), suc(z))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.47 tff(102,plain,
% 0.21/0.47 (^[B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : refl((tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | tptp_fun__E_(f(B_17), f(suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) <=> (tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | tptp_fun__E_(f(B_17), f(suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))))),
% 0.21/0.47 inference(bind,[status(th)],[])).
% 0.21/0.47 tff(103,plain,
% 0.21/0.47 (![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : (tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | tptp_fun__E_(f(B_17), f(suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) <=> ![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : (tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | tptp_fun__E_(f(B_17), f(suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))),
% 0.21/0.47 inference(quant_intro,[status(thm)],[102])).
% 0.21/0.47 tff(104,plain,
% 0.21/0.47 (![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : (tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | tptp_fun__E_(f(B_17), f(suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) <=> ![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : (tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | tptp_fun__E_(f(B_17), f(suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(105,plain,
% 0.21/0.47 (^[B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) <=> ((~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))), ((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) <=> (((~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))))), rewrite((((~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))), ((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))))), (((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) <=> (((~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))), (((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))))), ((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) <=> (((~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_17), suc(B_18)))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_17), suc(B_18)))) <=> ((~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))), ((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) <=> ((~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))))), (((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) <=> (((~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19)))))), rewrite((((~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19)))) <=> ((~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))), (((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) <=> ((~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))))), ((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) <=> (((~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(A_1)))))), rewrite((((~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) <=> ((~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))), ((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) <=> ((~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))))), (((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) <=> (((~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_19), suc(B_20)))))), rewrite((((~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_19), suc(B_20)))) <=> ((~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))), (((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) <=> ((~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))))), ((((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) <=> (((~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_18)))))), rewrite((((~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_18)))) <=> ((~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))), ((((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) <=> ((~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))))), (((((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) <=> (((~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_17)))))), rewrite((((~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_17)))) <=> ((~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))), (((((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) <=> ((~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))))), ((((((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) <=> (((~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))))), rewrite((((~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))), ((((((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))))), (((((((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) <=> (((~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_20)))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) <=> ((~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))), (((((((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) <=> ((~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))))), ((((((((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) <=> (((~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))))), rewrite((((~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))), ((((((((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))))), (((((((((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17)))) <=> (((~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(A_1), suc(B_17)))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(A_1), suc(B_17)))) <=> ((~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))), (((((((((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17)))) <=> ((~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))))), ((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17)))) | tptp_fun__E_(f(B_18), f(suc(B_18)))) <=> (((~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | tptp_fun__E_(f(B_18), f(suc(B_18)))))), rewrite((((~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | tptp_fun__E_(f(B_18), f(suc(B_18)))) <=> ((~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))), ((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17)))) | tptp_fun__E_(f(B_18), f(suc(B_18)))) <=> ((~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))))), (((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17)))) | tptp_fun__E_(f(B_18), f(suc(B_18)))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) <=> (((~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | tptp_fun__E_(f(A_1), f(suc(A_1)))))), rewrite((((~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) <=> (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))), (((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17)))) | tptp_fun__E_(f(B_18), f(suc(B_18)))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) <=> (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))))), ((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17)))) | tptp_fun__E_(f(B_18), f(suc(B_18)))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | tptp_fun__E_(f(B_19), f(suc(B_19)))) <=> ((tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | tptp_fun__E_(f(B_19), f(suc(B_19)))))), rewrite(((tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | tptp_fun__E_(f(B_19), f(suc(B_19)))) <=> (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))), ((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17)))) | tptp_fun__E_(f(B_18), f(suc(B_18)))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | tptp_fun__E_(f(B_19), f(suc(B_19)))) <=> (tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))))), (((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17)))) | tptp_fun__E_(f(B_18), f(suc(B_18)))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | tptp_fun__E_(f(B_19), f(suc(B_19)))) | tptp_fun__E_(f(B_20), f(suc(B_20)))) <=> ((tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | tptp_fun__E_(f(B_20), f(suc(B_20)))))), rewrite(((tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | tptp_fun__E_(f(B_20), f(suc(B_20)))) <=> (tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))), (((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17)))) | tptp_fun__E_(f(B_18), f(suc(B_18)))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | tptp_fun__E_(f(B_19), f(suc(B_19)))) | tptp_fun__E_(f(B_20), f(suc(B_20)))) <=> (tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))))), ((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17)))) | tptp_fun__E_(f(B_18), f(suc(B_18)))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | tptp_fun__E_(f(B_19), f(suc(B_19)))) | tptp_fun__E_(f(B_20), f(suc(B_20)))) | tptp_fun__E_(f(B_17), f(suc(B_17)))) <=> ((tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | tptp_fun__E_(f(B_17), f(suc(B_17)))))), rewrite(((tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | tptp_fun__E_(f(B_17), f(suc(B_17)))) <=> (tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | tptp_fun__E_(f(B_17), f(suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))), ((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17)))) | tptp_fun__E_(f(B_18), f(suc(B_18)))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | tptp_fun__E_(f(B_19), f(suc(B_19)))) | tptp_fun__E_(f(B_20), f(suc(B_20)))) | tptp_fun__E_(f(B_17), f(suc(B_17)))) <=> (tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | tptp_fun__E_(f(B_17), f(suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))))),
% 0.21/0.48 inference(bind,[status(th)],[])).
% 0.21/0.48 tff(106,plain,
% 0.21/0.48 (![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : (((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17)))) | tptp_fun__E_(f(B_18), f(suc(B_18)))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | tptp_fun__E_(f(B_19), f(suc(B_19)))) | tptp_fun__E_(f(B_20), f(suc(B_20)))) | tptp_fun__E_(f(B_17), f(suc(B_17)))) <=> ![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : (tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | tptp_fun__E_(f(B_17), f(suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))),
% 0.21/0.48 inference(quant_intro,[status(thm)],[105])).
% 0.21/0.48 tff(107,axiom,(![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : (((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17)))) | tptp_fun__E_(f(B_18), f(suc(B_18)))) | tptp_fun__E_(f(A_1), f(suc(A_1)))) | tptp_fun__E_(f(B_19), f(suc(B_19)))) | tptp_fun__E_(f(B_20), f(suc(B_20)))) | tptp_fun__E_(f(B_17), f(suc(B_17))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_209')).
% 0.21/0.48 tff(108,plain,
% 0.21/0.48 (![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : (tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | tptp_fun__E_(f(B_17), f(suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[107, 106])).
% 0.21/0.48 tff(109,plain,
% 0.21/0.48 (![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : (tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | tptp_fun__E_(f(B_17), f(suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[108, 104])).
% 0.21/0.48 tff(110,plain,(
% 0.21/0.48 ![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : (tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | tptp_fun__E_(f(B_17), f(suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))),
% 0.21/0.48 inference(skolemize,[status(sab)],[109])).
% 0.21/0.48 tff(111,plain,
% 0.21/0.48 (![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : (tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | tptp_fun__E_(f(B_17), f(suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[110, 103])).
% 0.21/0.49 tff(112,plain,
% 0.21/0.49 (((~![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : (tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | tptp_fun__E_(f(B_17), f(suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))) | (tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))))) <=> ((~![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : (tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | tptp_fun__E_(f(B_17), f(suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(113,plain,
% 0.21/0.49 ((tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~iLEQ(suc(z), suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z))))) <=> (tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(114,plain,
% 0.21/0.49 (((~![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : (tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | tptp_fun__E_(f(B_17), f(suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))) | (tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~iLEQ(suc(z), suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))))) <=> ((~![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : (tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | tptp_fun__E_(f(B_17), f(suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))) | (tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z)))))),
% 0.21/0.49 inference(monotonicity,[status(thm)],[113])).
% 0.21/0.49 tff(115,plain,
% 0.21/0.49 (((~![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : (tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | tptp_fun__E_(f(B_17), f(suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))) | (tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~iLEQ(suc(z), suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))))) <=> ((~![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : (tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | tptp_fun__E_(f(B_17), f(suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))))),
% 0.21/0.49 inference(transitivity,[status(thm)],[114, 112])).
% 0.21/0.49 tff(116,plain,
% 0.21/0.49 ((~![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : (tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | tptp_fun__E_(f(B_17), f(suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))) | (tptp_fun__E_(f(z), f(suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~iLEQ(suc(z), suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))))),
% 0.21/0.49 inference(quant_inst,[status(thm)],[])).
% 0.21/0.49 tff(117,plain,
% 0.21/0.49 ((~![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : (tptp_fun__E_(f(B_20), f(suc(B_20))) | tptp_fun__E_(f(A_1), f(suc(A_1))) | (~iLEQ(suc(A_1), suc(B_17))) | tptp_fun__E_(f(B_17), f(suc(B_17))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | tptp_fun__E_(f(B_19), f(suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | tptp_fun__E_(f(B_18), f(suc(B_18))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))))) | tptp_fun__E_(f(z), f(suc(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z)))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[116, 115])).
% 0.21/0.49 tff(118,plain,
% 0.21/0.49 (tptp_fun__E_(f(z), f(suc(z)))),
% 0.21/0.49 inference(unit_resolution,[status(thm)],[117, 111, 47, 30, 101])).
% 0.21/0.49 tff(119,plain,
% 0.21/0.49 (^[B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : refl(((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) <=> ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))))),
% 0.21/0.49 inference(bind,[status(th)],[])).
% 0.21/0.49 tff(120,plain,
% 0.21/0.49 (![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) <=> ![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))),
% 0.21/0.49 inference(quant_intro,[status(thm)],[119])).
% 0.21/0.49 tff(121,plain,
% 0.21/0.49 (![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) <=> ![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(122,plain,
% 0.21/0.49 (^[B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))))), ((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) <=> (((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18)))))) | (~iLEQ(suc(B_18), suc(B_19)))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18)))))) | (~iLEQ(suc(B_18), suc(B_19)))) <=> ((~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))))), ((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) <=> ((~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18)))))))), (((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) <=> (((~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))))), rewrite((((~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18)))))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))))), (((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18)))))))), ((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) <=> (((~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))), ((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))))), (((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) <=> (((~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))), (((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))))), ((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) <=> (((~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~iLEQ(suc(B_17), suc(B_18)))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~iLEQ(suc(B_17), suc(B_18)))) <=> ((~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))), ((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) <=> ((~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))))), (((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) <=> (((~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(B_19)))))), rewrite((((~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(B_19)))) <=> ((~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))), (((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) <=> ((~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))))), ((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) <=> (((~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))))), rewrite((((~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))), ((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))))), (((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) <=> (((~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))), (((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))))), ((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) <=> (((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))), ((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))))), (((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) <=> (((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))), (((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))))), ((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) <=> (((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))), ((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))))), (((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) | (~iLEQ(suc(B_19), suc(B_20)))) <=> (((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~iLEQ(suc(B_19), suc(B_20)))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~iLEQ(suc(B_19), suc(B_20)))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))), (((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) | (~iLEQ(suc(B_19), suc(B_20)))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))))), ((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) <=> (((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(B_18)))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(B_18)))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))), ((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))))), (((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) <=> (((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(B_17)))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(B_17)))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))), (((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))))), ((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) <=> (((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))), ((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))))), (((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) <=> (((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))), (((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))))), ((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(f(B_19), f(suc(B_19))))) <=> (((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(f(B_19), f(suc(B_19))))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(f(B_19), f(suc(B_19))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))), ((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(f(B_19), f(suc(B_19))))) <=> ((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))))), (((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(f(B_19), f(suc(B_19))))) | (~tptp_fun__E_(f(B_20), f(suc(B_20))))) <=> (((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(f(B_20), f(suc(B_20))))))), rewrite((((~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(f(B_20), f(suc(B_20))))) <=> ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))), (((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(f(B_19), f(suc(B_19))))) | (~tptp_fun__E_(f(B_20), f(suc(B_20))))) <=> ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))))), ((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(f(B_19), f(suc(B_19))))) | (~tptp_fun__E_(f(B_20), f(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) <=> (((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(B_20)))))), rewrite((((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) <=> ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))), ((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(f(B_19), f(suc(B_19))))) | (~tptp_fun__E_(f(B_20), f(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) <=> ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))))), (((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(f(B_19), f(suc(B_19))))) | (~tptp_fun__E_(f(B_20), f(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) <=> (((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))))), rewrite((((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) <=> ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))), (((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(f(B_19), f(suc(B_19))))) | (~tptp_fun__E_(f(B_20), f(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) <=> ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))))), ((((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(f(B_19), f(suc(B_19))))) | (~tptp_fun__E_(f(B_20), f(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) | (~tptp_fun__E_(f(B_17), f(suc(B_17))))) <=> (((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(f(B_17), f(suc(B_17))))))), rewrite((((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(f(B_17), f(suc(B_17))))) <=> ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))), ((((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(f(B_19), f(suc(B_19))))) | (~tptp_fun__E_(f(B_20), f(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) | (~tptp_fun__E_(f(B_17), f(suc(B_17))))) <=> ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))))), (((((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(f(B_19), f(suc(B_19))))) | (~tptp_fun__E_(f(B_20), f(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) | (~tptp_fun__E_(f(B_17), f(suc(B_17))))) | (~iLEQ(suc(A_1), suc(B_17)))) <=> (((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~iLEQ(suc(A_1), suc(B_17)))))), rewrite((((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~iLEQ(suc(A_1), suc(B_17)))) <=> ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))), (((((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(f(B_19), f(suc(B_19))))) | (~tptp_fun__E_(f(B_20), f(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) | (~tptp_fun__E_(f(B_17), f(suc(B_17))))) | (~iLEQ(suc(A_1), suc(B_17)))) <=> ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))))),
% 0.21/0.51 inference(bind,[status(th)],[])).
% 0.21/0.51 tff(123,plain,
% 0.21/0.51 (![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : ((((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(f(B_19), f(suc(B_19))))) | (~tptp_fun__E_(f(B_20), f(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) | (~tptp_fun__E_(f(B_17), f(suc(B_17))))) | (~iLEQ(suc(A_1), suc(B_17)))) <=> ![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))),
% 0.21/0.51 inference(quant_intro,[status(thm)],[122])).
% 0.21/0.51 tff(124,axiom,(![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : ((((((((((((((((((((((((~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(B_19))))) | (~iLEQ(suc(B_18), suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1)))))) | (~tptp_fun__E_(|'0'|, f(suc(B_17))))) | (~iLEQ(suc(B_17), suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19)))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20)))))) | (~tptp_fun__E_(|'0'|, f(A_1)))) | (~tptp_fun__E_(f(B_18), f(suc(B_18))))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17)))))) | (~iLEQ(suc(B_19), suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1))))) | (~tptp_fun__E_(f(B_19), f(suc(B_19))))) | (~tptp_fun__E_(f(B_20), f(suc(B_20))))) | (~tptp_fun__E_(|'0'|, f(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20))))) | (~tptp_fun__E_(f(B_17), f(suc(B_17))))) | (~iLEQ(suc(A_1), suc(B_17))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_125')).
% 0.21/0.51 tff(125,plain,
% 0.21/0.51 (![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[124, 123])).
% 0.21/0.52 tff(126,plain,
% 0.21/0.52 (![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[125, 121])).
% 0.21/0.52 tff(127,plain,(
% 0.21/0.52 ![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))),
% 0.21/0.52 inference(skolemize,[status(sab)],[126])).
% 0.21/0.52 tff(128,plain,
% 0.21/0.52 (![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[127, 120])).
% 0.21/0.52 tff(129,plain,
% 0.21/0.52 (((~![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))) | ((~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~iLEQ(suc(z), suc(z))))) <=> ((~![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~iLEQ(suc(z), suc(z))))),
% 0.21/0.52 inference(rewrite,[status(thm)],[])).
% 0.21/0.52 tff(130,plain,
% 0.21/0.52 (((~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z)))))) <=> ((~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~iLEQ(suc(z), suc(z))))),
% 0.21/0.52 inference(rewrite,[status(thm)],[])).
% 0.21/0.52 tff(131,plain,
% 0.21/0.52 (((~![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))) | ((~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))))) <=> ((~![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))) | ((~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~iLEQ(suc(z), suc(z)))))),
% 0.21/0.52 inference(monotonicity,[status(thm)],[130])).
% 0.21/0.52 tff(132,plain,
% 0.21/0.52 (((~![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))) | ((~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))))) <=> ((~![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~iLEQ(suc(z), suc(z))))),
% 0.21/0.53 inference(transitivity,[status(thm)],[131, 129])).
% 0.21/0.53 tff(133,plain,
% 0.21/0.53 ((~![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))) | ((~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(|'0'|, f(z))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~iLEQ(suc(z), suc(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))))),
% 0.21/0.53 inference(quant_inst,[status(thm)],[])).
% 0.21/0.53 tff(134,plain,
% 0.21/0.53 ((~![B_18: $i, B_20: $i, B_17: $i, A_1: $i, B_19: $i] : ((~tptp_fun__E_(f(B_20), f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_20))))) | (~iLEQ(suc(A_1), suc(B_17))) | (~tptp_fun__E_(f(B_17), f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(B_20)))) | (~tptp_fun__E_(|'0'|, f(B_20))) | (~tptp_fun__E_(f(B_19), f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(B_17))) | (~tptp_fun__E_(|'0'|, f(B_18))) | (~iLEQ(suc(B_19), suc(B_20))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_17))))) | (~tptp_fun__E_(f(B_18), f(suc(B_18)))) | (~tptp_fun__E_(|'0'|, f(A_1))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_19))))) | (~tptp_fun__E_(|'0'|, f(B_19))) | (~iLEQ(suc(B_17), suc(B_18))) | (~tptp_fun__E_(|'0'|, f(suc(B_17)))) | (~tptp_fun__E_(|'0'|, f(suc(A_1)))) | (~iLEQ(suc(B_18), suc(B_19))) | (~tptp_fun__E_(|'0'|, f(suc(B_19)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(B_18))))) | (~tptp_fun__E_(f(A_1), f(suc(A_1)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(A_1))))))) | (~tptp_fun__E_(|'0'|, f(z))) | (~tptp_fun__E_(|'0'|, f(suc(z)))) | (~tptp_fun__E_(f(z), f(suc(z)))) | (~tptp_fun__E_(|'0'|, f(suc(suc(z))))) | (~iLEQ(suc(z), suc(z)))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[133, 132])).
% 0.21/0.53 tff(135,plain,
% 0.21/0.53 ($false),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[134, 128, 47, 30, 81, 101, 118])).
% 0.21/0.53 % SZS output end Proof
% 0.21/0.53 % E exiting
%------------------------------------------------------------------------------