TSTP Solution File: SYO682-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYO682-1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n017.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 : 600s
% DateTime : Thu Jul 21 18:40:51 EDT 2022
% Result : Unsatisfiable 1.96s 2.13s
% Output : CNFRefutation 1.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO682-1 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jul 8 22:26:01 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.96/2.13 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.96/2.13
% 1.96/2.13 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.96/2.14 cnf(clause_2548, axiom,
% 1.96/2.14 (~ 'LE'(f(suc(suc(B_149))), s(0)) | 'E'(0, f(suc(suc(B_149)))) |
% 1.96/2.14 'LE'(f(B_149), 0))).
% 1.96/2.14
% 1.96/2.14 cnf(clause_1275, axiom,
% 1.96/2.14 (~ 'E'(s(0), f(suc(B_140))) | ~ 'E'(s(0), f(B_140)) |
% 1.96/2.14 ~ 'E'(s(0), f(suc(B_138))) | ~ 'E'(s(0), f(B_138)) |
% 1.96/2.14 ~ 'E'(s(0), f(suc(B_139))) | ~ 'E'(s(0), f(suc(A_3))) |
% 1.96/2.14 ~ iLEQ(suc(B_139), suc(B_140)) | ~ 'E'(f(B_138), f(suc(B_138))) |
% 1.96/2.14 ~ 'E'(s(0), f(suc(suc(B_140)))) | ~ 'E'(f(B_140), f(suc(B_140))) |
% 1.96/2.14 ~ 'E'(f(A_3), f(suc(A_3))) | ~ 'E'(f(B_139), f(suc(B_139))) |
% 1.96/2.14 ~ 'E'(s(0), f(suc(suc(B_139)))) | ~ 'E'(s(0), f(B_139)) |
% 1.96/2.14 ~ iLEQ(suc(A_3), suc(B_138)) | ~ 'E'(s(0), f(A_3)) |
% 1.96/2.14 ~ 'E'(s(0), f(suc(suc(B_138)))) | ~ iLEQ(suc(B_138), suc(B_139)) |
% 1.96/2.14 ~ 'E'(s(0), f(suc(suc(A_3)))))).
% 1.96/2.14
% 1.96/2.14 cnf(clause_2710, axiom,
% 1.96/2.14 (~ 'E'(s(s(s(0))), f(suc(suc(A_1)))) | ~ 'E'(s(s(s(0))), f(suc(A_1))) |
% 1.96/2.14 ~ 'E'(f(A_1), f(suc(A_1))) | ~ 'E'(s(s(s(0))), f(A_1)) |
% 1.96/2.14 iLEQ(suc(A_1), suc(A_1)))).
% 1.96/2.14
% 1.96/2.14 cnf(clause_2217, axiom,
% 1.96/2.14 (~ 'E'(0, f(suc(suc(A_4)))) | ~ 'E'(0, f(suc(A_4))) |
% 1.96/2.14 ~ 'E'(f(A_4), f(suc(A_4))) | ~ 'E'(0, f(A_4)) |
% 1.96/2.14 iLEQ(suc(A_4), suc(A_4)))).
% 1.96/2.14
% 1.96/2.14 cnf(clause_1737, axiom,
% 1.96/2.14 (~ 'LE'(f(suc(suc(B_68))), s(s(s(s(0))))) |
% 1.96/2.14 'E'(s(s(s(0))), f(suc(suc(B_68)))) | 'LE'(f(B_68), s(s(s(0)))))).
% 1.96/2.14
% 1.96/2.14 cnf(clause_2463, axiom,
% 1.96/2.14 (~ 'LE'(f(suc(B_137)), s(s(0))) | 'E'(s(0), f(suc(B_137))) |
% 1.96/2.14 'LE'(f(B_137), s(0)))).
% 1.96/2.14
% 1.96/2.14 cnf(clause_1914, axiom,
% 1.96/2.14 (~ 'LE'(f(B_137), s(s(0))) | 'E'(s(0), f(B_137)) |
% 1.96/2.14 'LE'(f(B_137), s(0)))).
% 1.96/2.14
% 1.96/2.14 cnf(clause_2205, axiom, ('LE'(f(A), s(s(s(s(0))))))).
% 1.96/2.14
% 1.96/2.14 cnf(clause_1537, axiom,
% 1.96/2.14 (~ 'E'(s(s(0)), f(A_2)) | ~ 'E'(s(s(0)), f(suc(A_2))) |
% 1.96/2.14 'E'(f(A_2), f(suc(A_2))) | iLEQ(suc(A_2), suc(A_2)))).
% 1.96/2.14
% 1.96/2.14 cnf(clause_1799, axiom,
% 1.96/2.14 (~ 'LE'(f(suc(suc(B_137))), s(s(0))) | 'E'(s(0), f(suc(suc(B_137)))) |
% 1.96/2.14 'LE'(f(B_137), s(0)))).
% 1.96/2.14
% 1.96/2.14 cnf(clause_491, axiom,
% 1.96/2.14 (~ 'E'(s(0), f(suc(suc(A_3)))) | ~ 'E'(s(0), f(suc(A_3))) |
% 1.96/2.14 ~ 'E'(f(A_3), f(suc(A_3))) | ~ 'E'(s(0), f(A_3)) |
% 1.96/2.14 iLEQ(suc(A_3), suc(A_3)))).
% 1.96/2.14
% 1.96/2.14 cnf(clause_165, axiom,
% 1.96/2.14 (~ 'LE'(f(B_149), s(0)) | 'E'(0, f(B_149)) | 'LE'(f(B_149), 0))).
% 1.96/2.14
% 1.96/2.14 cnf(clause_190, axiom,
% 1.96/2.14 (~ 'E'(s(s(s(0))), f(suc(suc(B_71)))) | ~ 'E'(s(s(s(0))), f(B_69)) |
% 1.96/2.14 ~ 'E'(s(s(s(0))), f(suc(B_70))) | ~ 'E'(s(s(s(0))), f(suc(B_71))) |
% 1.96/2.14 ~ 'E'(s(s(s(0))), f(B_70)) | ~ 'E'(s(s(s(0))), f(suc(B_69))) |
% 1.96/2.14 ~ iLEQ(suc(B_70), suc(B_71)) | ~ 'E'(f(B_69), f(suc(B_69))) |
% 1.96/2.14 ~ iLEQ(suc(B_69), suc(B_70)) | ~ 'E'(s(s(s(0))), f(A_1)) |
% 1.96/2.14 ~ 'E'(f(B_70), f(suc(B_70))) | ~ 'E'(s(s(s(0))), f(suc(suc(A_1)))) |
% 1.96/2.14 ~ 'E'(s(s(s(0))), f(suc(suc(B_69)))) |
% 1.96/2.14 ~ 'E'(s(s(s(0))), f(suc(suc(B_70)))) | ~ 'E'(f(A_1), f(suc(A_1))) |
% 1.96/2.14 ~ iLEQ(suc(A_1), suc(B_69)) | ~ 'E'(f(B_71), f(suc(B_71))) |
% 1.96/2.14 ~ 'E'(s(s(s(0))), f(B_71)) | ~ 'E'(s(s(s(0))), f(suc(A_1))))).
% 1.96/2.14
% 1.96/2.14 cnf(clause_2902, axiom,
% 1.96/2.14 (~ 'E'(0, f(A_4)) | ~ 'E'(0, f(suc(A_4))) | 'E'(f(A_4), f(suc(A_4))) |
% 1.96/2.14 iLEQ(suc(A_4), suc(A_4)))).
% 1.96/2.14
% 1.96/2.14 cnf(clause_777, axiom,
% 1.96/2.14 (~ 'LE'(f(B_68), s(s(s(s(0))))) | 'E'(s(s(s(0))), f(B_68)) |
% 1.96/2.14 'LE'(f(B_68), s(s(s(0)))))).
% 1.96/2.14
% 1.96/2.14 cnf(clause_2749, axiom,
% 1.96/2.14 (~ 'E'(0, f(B_152)) | ~ 'E'(0, f(B_151)) |
% 1.96/2.14 ~ iLEQ(suc(B_151), suc(B_152)) | ~ 'E'(f(A_4), f(suc(A_4))) |
% 1.96/2.14 ~ 'E'(0, f(suc(suc(B_150)))) | ~ 'E'(f(B_150), f(suc(B_150))) |
% 1.96/2.14 ~ 'E'(0, f(suc(B_150))) | ~ 'E'(0, f(suc(suc(B_152)))) |
% 1.96/2.14 ~ 'E'(0, f(B_150)) | ~ 'E'(0, f(suc(suc(B_151)))) |
% 1.96/2.14 ~ 'E'(0, f(suc(suc(A_4)))) | ~ 'E'(0, f(suc(B_152))) |
% 1.96/2.14 ~ iLEQ(suc(B_150), suc(B_151)) | ~ 'E'(0, f(suc(A_4))) |
% 1.96/2.14 ~ 'E'(f(B_151), f(suc(B_151))) | ~ iLEQ(suc(A_4), suc(B_150)) |
% 1.96/2.14 ~ 'E'(f(B_152), f(suc(B_152))) | ~ 'E'(0, f(A_4)) |
% 1.96/2.14 ~ 'E'(0, f(suc(B_151))))).
% 1.96/2.14
% 1.96/2.14 cnf(clause_2240, axiom,
% 1.96/2.14 (~ 'E'(s(0), f(A_3)) | ~ 'E'(s(0), f(suc(A_3))) |
% 1.96/2.14 'E'(f(A_3), f(suc(A_3))) | iLEQ(suc(A_3), suc(A_3)))).
% 1.96/2.14
% 1.96/2.14 cnf(clause_1450, axiom, (~ 'LE'(f(z), 0))).
% 1.96/2.14
% 1.96/2.14 cnf(clause_2414, axiom,
% 1.96/2.14 (~ 'LE'(f(B_112), s(s(s(0)))) | 'E'(s(s(0)), f(B_112)) |
% 1.96/2.14 'LE'(f(B_112), s(s(0))))).
% 1.96/2.14
% 1.96/2.14 cnf(clause_2897, axiom,
% 1.96/2.14 (~ 'E'(s(s(s(0))), f(B_69)) | ~ 'E'(s(s(s(0))), f(suc(B_70))) |
% 1.96/2.14 ~ 'E'(s(s(s(0))), f(suc(B_71))) | ~ 'E'(s(s(s(0))), f(B_70)) |
% 1.96/2.14 ~ 'E'(s(s(s(0))), f(suc(B_69))) | ~ iLEQ(suc(B_70), suc(B_71)) |
% 1.96/2.14 ~ iLEQ(suc(B_69), suc(B_70)) | ~ 'E'(s(s(s(0))), f(A_1)) |
% 1.96/2.14 ~ iLEQ(suc(A_1), suc(B_69)) | ~ 'E'(s(s(s(0))), f(B_71)) |
% 1.96/2.14 ~ 'E'(s(s(s(0))), f(suc(A_1))) | 'E'(f(A_1), f(suc(A_1))) |
% 1.96/2.14 'E'(f(B_69), f(suc(B_69))) | 'E'(f(B_70), f(suc(B_70))) |
% 1.96/2.14 'E'(f(B_71), f(suc(B_71))))).
% 1.96/2.14
% 1.96/2.14 cnf(clause_679, axiom,
% 1.96/2.14 (~ 'LE'(f(suc(suc(B_112))), s(s(s(0)))) |
% 1.96/2.14 'E'(s(s(0)), f(suc(suc(B_112)))) | 'LE'(f(B_112), s(s(0))))).
% 1.96/2.14
% 1.96/2.14 cnf(clause_1426, axiom,
% 1.96/2.14 (~ 'LE'(f(suc(B_68)), s(s(s(s(0))))) | 'E'(s(s(s(0))), f(suc(B_68))) |
% 1.96/2.14 'LE'(f(B_68), s(s(s(0)))))).
% 1.96/2.14
% 1.96/2.14 cnf(clause_2044, axiom,
% 1.96/2.14 (~ iLEQ(suc(A_2), suc(B_113)) | ~ 'E'(f(B_113), f(suc(B_113))) |
% 1.96/2.14 ~ 'E'(s(s(0)), f(suc(suc(B_114)))) | ~ 'E'(s(s(0)), f(suc(A_2))) |
% 1.96/2.14 ~ iLEQ(suc(B_114), suc(B_115)) | ~ 'E'(s(s(0)), f(suc(suc(B_113)))) |
% 1.96/2.14 ~ 'E'(s(s(0)), f(B_115)) | ~ 'E'(s(s(0)), f(suc(B_114))) |
% 1.96/2.14 ~ 'E'(s(s(0)), f(suc(suc(B_115)))) | ~ 'E'(s(s(0)), f(B_114)) |
% 1.96/2.14 ~ 'E'(s(s(0)), f(B_113)) | ~ iLEQ(suc(B_113), suc(B_114)) |
% 1.96/2.14 ~ 'E'(s(s(0)), f(suc(B_115))) | ~ 'E'(s(s(0)), f(suc(suc(A_2)))) |
% 1.96/2.14 ~ 'E'(f(B_114), f(suc(B_114))) | ~ 'E'(s(s(0)), f(A_2)) |
% 1.96/2.14 ~ 'E'(s(s(0)), f(suc(B_113))) | ~ 'E'(f(A_2), f(suc(A_2))) |
% 1.96/2.14 ~ 'E'(f(B_115), f(suc(B_115))))).
% 1.96/2.14
% 1.96/2.14 cnf(clause_2095, axiom,
% 1.96/2.14 (~ iLEQ(suc(A_2), suc(B_113)) | ~ 'E'(s(s(0)), f(suc(A_2))) |
% 1.96/2.14 ~ iLEQ(suc(B_114), suc(B_115)) | ~ 'E'(s(s(0)), f(B_115)) |
% 1.96/2.14 ~ 'E'(s(s(0)), f(suc(B_114))) | ~ 'E'(s(s(0)), f(B_114)) |
% 1.96/2.14 ~ 'E'(s(s(0)), f(B_113)) | ~ iLEQ(suc(B_113), suc(B_114)) |
% 1.96/2.14 ~ 'E'(s(s(0)), f(suc(B_115))) | ~ 'E'(s(s(0)), f(A_2)) |
% 1.96/2.14 ~ 'E'(s(s(0)), f(suc(B_113))) | 'E'(f(A_2), f(suc(A_2))) |
% 1.96/2.14 'E'(f(B_113), f(suc(B_113))) | 'E'(f(B_114), f(suc(B_114))) |
% 1.96/2.14 'E'(f(B_115), f(suc(B_115))))).
% 1.96/2.14
% 1.96/2.14 cnf(clause_2899, axiom,
% 1.96/2.14 (~ 'E'(s(0), f(suc(B_140))) | ~ 'E'(s(0), f(B_140)) |
% 1.96/2.14 ~ 'E'(s(0), f(suc(B_138))) | ~ 'E'(s(0), f(B_138)) |
% 1.96/2.14 ~ 'E'(s(0), f(suc(B_139))) | ~ 'E'(s(0), f(suc(A_3))) |
% 1.96/2.14 ~ iLEQ(suc(B_139), suc(B_140)) | ~ 'E'(s(0), f(B_139)) |
% 1.96/2.14 ~ iLEQ(suc(A_3), suc(B_138)) | ~ 'E'(s(0), f(A_3)) |
% 1.96/2.14 ~ iLEQ(suc(B_138), suc(B_139)) | 'E'(f(A_3), f(suc(A_3))) |
% 1.96/2.14 'E'(f(B_138), f(suc(B_138))) | 'E'(f(B_139), f(suc(B_139))) |
% 1.96/2.14 'E'(f(B_140), f(suc(B_140))))).
% 1.96/2.14
% 1.96/2.14 cnf(clause_2704, axiom,
% 1.96/2.14 (~ 'LE'(f(suc(B_149)), s(0)) | 'E'(0, f(suc(B_149))) |
% 1.96/2.14 'LE'(f(B_149), 0))).
% 1.96/2.14
% 1.96/2.14 cnf(clause_1659, axiom,
% 1.96/2.14 (~ 'E'(s(s(0)), f(suc(suc(A_2)))) | ~ 'E'(s(s(0)), f(suc(A_2))) |
% 1.96/2.14 ~ 'E'(f(A_2), f(suc(A_2))) | ~ 'E'(s(s(0)), f(A_2)) |
% 1.96/2.14 iLEQ(suc(A_2), suc(A_2)))).
% 1.96/2.14
% 1.96/2.14 cnf(clause_2160, axiom,
% 1.96/2.14 (~ 'E'(0, f(B_152)) | ~ 'E'(0, f(B_151)) |
% 1.96/2.14 ~ iLEQ(suc(B_151), suc(B_152)) | ~ 'E'(0, f(suc(B_150))) |
% 1.96/2.14 ~ 'E'(0, f(B_150)) | ~ 'E'(0, f(suc(B_152))) |
% 1.96/2.14 ~ iLEQ(suc(B_150), suc(B_151)) | ~ 'E'(0, f(suc(A_4))) |
% 1.96/2.14 ~ iLEQ(suc(A_4), suc(B_150)) | ~ 'E'(0, f(A_4)) |
% 1.96/2.14 ~ 'E'(0, f(suc(B_151))) | 'E'(f(A_4), f(suc(A_4))) |
% 1.96/2.14 'E'(f(B_150), f(suc(B_150))) | 'E'(f(B_151), f(suc(B_151))) |
% 1.96/2.14 'E'(f(B_152), f(suc(B_152))))).
% 1.96/2.14
% 1.96/2.14 cnf(clause_988, axiom,
% 1.96/2.14 (~ 'LE'(f(suc(B_112)), s(s(s(0)))) | 'E'(s(s(0)), f(suc(B_112))) |
% 1.96/2.14 'LE'(f(B_112), s(s(0))))).
% 1.96/2.14
% 1.96/2.14 cnf(clause_1131, axiom,
% 1.96/2.14 (~ 'E'(s(s(s(0))), f(A_1)) | ~ 'E'(s(s(s(0))), f(suc(A_1))) |
% 1.96/2.14 'E'(f(A_1), f(suc(A_1))) | iLEQ(suc(A_1), suc(A_1)))).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_0, plain,
% 1.96/2.14 (~ 'LE'(f(suc(X_360)), s(0)) | 'E'(0, f(suc(X_360))) |
% 1.96/2.14 'LE'(f(X_360), 0)),
% 1.96/2.14 inference(subst, [], [clause_2704 : [bind(B_149, $fot(X_360))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_1, plain,
% 1.96/2.14 (~ 'LE'(f(X_207), s(s(0))) | 'E'(s(0), f(X_207)) |
% 1.96/2.14 'LE'(f(X_207), s(0))),
% 1.96/2.14 inference(subst, [], [clause_1914 : [bind(B_137, $fot(X_207))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_2, plain,
% 1.96/2.14 (~ 'LE'(f(X_201), s(s(0))) | 'E'(s(0), f(X_201)) |
% 1.96/2.14 'LE'(f(X_201), s(0))),
% 1.96/2.14 inference(subst, [], [clause_1914 : [bind(B_137, $fot(X_201))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_3, plain,
% 1.96/2.14 (~ 'LE'(f(X_85), s(s(0))) | 'E'(s(0), f(X_85)) | 'LE'(f(X_85), s(0))),
% 1.96/2.14 inference(subst, [], [clause_1914 : [bind(B_137, $fot(X_85))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_4, plain,
% 1.96/2.14 (~ 'LE'(f(X_84), s(s(s(0)))) | 'E'(s(s(0)), f(X_84)) |
% 1.96/2.14 'LE'(f(X_84), s(s(0)))),
% 1.96/2.14 inference(subst, [], [clause_2414 : [bind(B_112, $fot(X_84))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_5, plain,
% 1.96/2.14 (~ 'LE'(f(X_78), s(s(s(0)))) | 'E'(s(s(0)), f(X_78)) |
% 1.96/2.14 'LE'(f(X_78), s(s(0)))),
% 1.96/2.14 inference(subst, [], [clause_2414 : [bind(B_112, $fot(X_78))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_6, plain,
% 1.96/2.14 (~ 'LE'(f(X_66), s(s(s(0)))) | 'E'(s(s(0)), f(X_66)) |
% 1.96/2.14 'LE'(f(X_66), s(s(0)))),
% 1.96/2.14 inference(subst, [], [clause_2414 : [bind(B_112, $fot(X_66))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_7, plain, ('LE'(f(B_68), s(s(s(s(0)))))),
% 1.96/2.14 inference(subst, [], [clause_2205 : [bind(A, $fot(B_68))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_8, plain,
% 1.96/2.14 ('E'(s(s(s(0))), f(B_68)) | 'LE'(f(B_68), s(s(s(0))))),
% 1.96/2.14 inference(resolve, [$cnf('LE'(f(B_68), s(s(s(s(0))))))],
% 1.96/2.14 [refute_0_7, clause_777])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_9, plain,
% 1.96/2.14 ('E'(s(s(s(0))), f(X_9)) | 'LE'(f(X_9), s(s(s(0))))),
% 1.96/2.14 inference(subst, [], [refute_0_8 : [bind(B_68, $fot(X_9))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_10, plain,
% 1.96/2.14 (~ 'LE'(f(X_9), s(s(s(0)))) | 'E'(s(s(0)), f(X_9)) |
% 1.96/2.14 'LE'(f(X_9), s(s(0)))),
% 1.96/2.14 inference(subst, [], [clause_2414 : [bind(B_112, $fot(X_9))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_11, plain,
% 1.96/2.14 ('E'(s(s(0)), f(X_9)) | 'E'(s(s(s(0))), f(X_9)) |
% 1.96/2.14 'LE'(f(X_9), s(s(0)))),
% 1.96/2.14 inference(resolve, [$cnf('LE'(f(X_9), s(s(s(0)))))],
% 1.96/2.14 [refute_0_9, refute_0_10])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_12, plain,
% 1.96/2.14 ('E'(s(s(0)), f(X_24)) | 'E'(s(s(s(0))), f(X_24)) |
% 1.96/2.14 'LE'(f(X_24), s(s(0)))),
% 1.96/2.14 inference(subst, [], [refute_0_11 : [bind(X_9, $fot(X_24))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_13, plain, ('LE'(f(suc(B_68)), s(s(s(s(0)))))),
% 1.96/2.14 inference(subst, [], [clause_2205 : [bind(A, $fot(suc(B_68)))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_14, plain,
% 1.96/2.14 ('E'(s(s(s(0))), f(suc(B_68))) | 'LE'(f(B_68), s(s(s(0))))),
% 1.96/2.14 inference(resolve, [$cnf('LE'(f(suc(B_68)), s(s(s(s(0))))))],
% 1.96/2.14 [refute_0_13, clause_1426])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_15, plain,
% 1.96/2.14 ('E'(s(s(s(0))), f(suc(X_22))) | 'LE'(f(X_22), s(s(s(0))))),
% 1.96/2.14 inference(subst, [], [refute_0_14 : [bind(B_68, $fot(X_22))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_16, plain,
% 1.96/2.14 (~ 'E'(s(s(s(0))), f(X_22)) | ~ 'E'(s(s(s(0))), f(suc(X_22))) |
% 1.96/2.14 'E'(f(X_22), f(suc(X_22))) | iLEQ(suc(X_22), suc(X_22))),
% 1.96/2.14 inference(subst, [], [clause_1131 : [bind(A_1, $fot(X_22))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_17, plain,
% 1.96/2.14 (~ 'E'(s(s(s(0))), f(X_22)) | 'E'(f(X_22), f(suc(X_22))) |
% 1.96/2.14 'LE'(f(X_22), s(s(s(0)))) | iLEQ(suc(X_22), suc(X_22))),
% 1.96/2.14 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(X_22))))],
% 1.96/2.14 [refute_0_15, refute_0_16])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_18, plain,
% 1.96/2.14 (~ 'E'(s(s(s(0))), f(X_24)) | 'E'(f(X_24), f(suc(X_24))) |
% 1.96/2.14 'LE'(f(X_24), s(s(s(0)))) | iLEQ(suc(X_24), suc(X_24))),
% 1.96/2.14 inference(subst, [], [refute_0_17 : [bind(X_22, $fot(X_24))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_19, plain,
% 1.96/2.14 ('E'(f(X_24), f(suc(X_24))) | 'E'(s(s(0)), f(X_24)) |
% 1.96/2.14 'LE'(f(X_24), s(s(0))) | 'LE'(f(X_24), s(s(s(0)))) |
% 1.96/2.14 iLEQ(suc(X_24), suc(X_24))),
% 1.96/2.14 inference(resolve, [$cnf('E'(s(s(s(0))), f(X_24)))],
% 1.96/2.14 [refute_0_12, refute_0_18])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_20, plain,
% 1.96/2.14 ('E'(f(X_66), f(suc(X_66))) | 'E'(s(s(0)), f(X_66)) |
% 1.96/2.14 'LE'(f(X_66), s(s(0))) | 'LE'(f(X_66), s(s(s(0)))) |
% 1.96/2.14 iLEQ(suc(X_66), suc(X_66))),
% 1.96/2.14 inference(subst, [], [refute_0_19 : [bind(X_24, $fot(X_66))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_21, plain,
% 1.96/2.14 ('E'(f(X_66), f(suc(X_66))) | 'E'(s(s(0)), f(X_66)) |
% 1.96/2.14 'LE'(f(X_66), s(s(0))) | iLEQ(suc(X_66), suc(X_66))),
% 1.96/2.14 inference(resolve, [$cnf('LE'(f(X_66), s(s(s(0)))))],
% 1.96/2.14 [refute_0_20, refute_0_6])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_22, plain,
% 1.96/2.14 ('E'(f(X_77), f(suc(X_77))) | 'E'(s(s(0)), f(X_77)) |
% 1.96/2.14 'LE'(f(X_77), s(s(0))) | iLEQ(suc(X_77), suc(X_77))),
% 1.96/2.14 inference(subst, [], [refute_0_21 : [bind(X_66, $fot(X_77))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_23, plain,
% 1.96/2.14 ('E'(s(s(0)), f(X_50)) | 'E'(s(s(s(0))), f(X_50)) |
% 1.96/2.14 'LE'(f(X_50), s(s(0)))),
% 1.96/2.14 inference(subst, [], [refute_0_11 : [bind(X_9, $fot(X_50))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_24, plain,
% 1.96/2.14 ('E'(s(s(s(0))), f(suc(X_49))) | 'LE'(f(X_49), s(s(s(0))))),
% 1.96/2.14 inference(subst, [], [refute_0_14 : [bind(B_68, $fot(X_49))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_25, plain, ('LE'(f(suc(suc(B_68))), s(s(s(s(0)))))),
% 1.96/2.14 inference(subst, [], [clause_2205 : [bind(A, $fot(suc(suc(B_68))))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_26, plain,
% 1.96/2.14 ('E'(s(s(s(0))), f(suc(suc(B_68)))) | 'LE'(f(B_68), s(s(s(0))))),
% 1.96/2.14 inference(resolve, [$cnf('LE'(f(suc(suc(B_68))), s(s(s(s(0))))))],
% 1.96/2.14 [refute_0_25, clause_1737])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_27, plain,
% 1.96/2.14 ('E'(s(s(s(0))), f(suc(suc(X_36)))) | 'LE'(f(X_36), s(s(s(0))))),
% 1.96/2.14 inference(subst, [], [refute_0_26 : [bind(B_68, $fot(X_36))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_28, plain,
% 1.96/2.14 (~ 'E'(f(X_36), f(suc(X_36))) | ~ 'E'(s(s(s(0))), f(X_36)) |
% 1.96/2.14 ~ 'E'(s(s(s(0))), f(suc(X_36))) |
% 1.96/2.14 ~ 'E'(s(s(s(0))), f(suc(suc(X_36)))) | iLEQ(suc(X_36), suc(X_36))),
% 1.96/2.14 inference(subst, [], [clause_2710 : [bind(A_1, $fot(X_36))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_29, plain,
% 1.96/2.14 (~ 'E'(f(X_36), f(suc(X_36))) | ~ 'E'(s(s(s(0))), f(X_36)) |
% 1.96/2.14 ~ 'E'(s(s(s(0))), f(suc(X_36))) | 'LE'(f(X_36), s(s(s(0)))) |
% 1.96/2.14 iLEQ(suc(X_36), suc(X_36))),
% 1.96/2.14 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(suc(X_36)))))],
% 1.96/2.14 [refute_0_27, refute_0_28])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_30, plain,
% 1.96/2.14 (~ 'E'(f(X_49), f(suc(X_49))) | ~ 'E'(s(s(s(0))), f(X_49)) |
% 1.96/2.14 ~ 'E'(s(s(s(0))), f(suc(X_49))) | 'LE'(f(X_49), s(s(s(0)))) |
% 1.96/2.14 iLEQ(suc(X_49), suc(X_49))),
% 1.96/2.14 inference(subst, [], [refute_0_29 : [bind(X_36, $fot(X_49))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_31, plain,
% 1.96/2.14 (~ 'E'(f(X_49), f(suc(X_49))) | ~ 'E'(s(s(s(0))), f(X_49)) |
% 1.96/2.14 'LE'(f(X_49), s(s(s(0)))) | iLEQ(suc(X_49), suc(X_49))),
% 1.96/2.14 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(X_49))))],
% 1.96/2.14 [refute_0_24, refute_0_30])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_32, plain,
% 1.96/2.14 (~ 'E'(f(X_50), f(suc(X_50))) | ~ 'E'(s(s(s(0))), f(X_50)) |
% 1.96/2.14 'LE'(f(X_50), s(s(s(0)))) | iLEQ(suc(X_50), suc(X_50))),
% 1.96/2.14 inference(subst, [], [refute_0_31 : [bind(X_49, $fot(X_50))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_33, plain,
% 1.96/2.14 (~ 'E'(f(X_50), f(suc(X_50))) | 'E'(s(s(0)), f(X_50)) |
% 1.96/2.14 'LE'(f(X_50), s(s(0))) | 'LE'(f(X_50), s(s(s(0)))) |
% 1.96/2.14 iLEQ(suc(X_50), suc(X_50))),
% 1.96/2.14 inference(resolve, [$cnf('E'(s(s(s(0))), f(X_50)))],
% 1.96/2.14 [refute_0_23, refute_0_32])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_34, plain,
% 1.96/2.14 (~ 'E'(f(X_77), f(suc(X_77))) | 'E'(s(s(0)), f(X_77)) |
% 1.96/2.14 'LE'(f(X_77), s(s(0))) | 'LE'(f(X_77), s(s(s(0)))) |
% 1.96/2.14 iLEQ(suc(X_77), suc(X_77))),
% 1.96/2.14 inference(subst, [], [refute_0_33 : [bind(X_50, $fot(X_77))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_35, plain,
% 1.96/2.14 ('E'(s(s(0)), f(X_77)) | 'LE'(f(X_77), s(s(0))) |
% 1.96/2.14 'LE'(f(X_77), s(s(s(0)))) | iLEQ(suc(X_77), suc(X_77))),
% 1.96/2.14 inference(resolve, [$cnf('E'(f(X_77), f(suc(X_77))))],
% 1.96/2.14 [refute_0_22, refute_0_34])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_36, plain,
% 1.96/2.14 ('E'(s(s(0)), f(X_78)) | 'LE'(f(X_78), s(s(0))) |
% 1.96/2.14 'LE'(f(X_78), s(s(s(0)))) | iLEQ(suc(X_78), suc(X_78))),
% 1.96/2.14 inference(subst, [], [refute_0_35 : [bind(X_77, $fot(X_78))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_37, plain,
% 1.96/2.14 ('E'(s(s(0)), f(X_78)) | 'LE'(f(X_78), s(s(0))) |
% 1.96/2.14 iLEQ(suc(X_78), suc(X_78))),
% 1.96/2.14 inference(resolve, [$cnf('LE'(f(X_78), s(s(s(0)))))],
% 1.96/2.14 [refute_0_36, refute_0_5])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_38, plain,
% 1.96/2.14 ('E'(s(s(0)), f(X_83)) | 'LE'(f(X_83), s(s(0))) |
% 1.96/2.14 iLEQ(suc(X_83), suc(X_83))),
% 1.96/2.14 inference(subst, [], [refute_0_37 : [bind(X_78, $fot(X_83))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_39, plain,
% 1.96/2.14 ('E'(s(s(0)), f(X_47)) | 'E'(s(s(s(0))), f(X_47)) |
% 1.96/2.14 'LE'(f(X_47), s(s(0)))),
% 1.96/2.14 inference(subst, [], [refute_0_11 : [bind(X_9, $fot(X_47))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_40, plain,
% 1.96/2.14 ('E'(s(s(s(0))), f(suc(X_46))) | 'LE'(f(X_46), s(s(s(0))))),
% 1.96/2.14 inference(subst, [], [refute_0_14 : [bind(B_68, $fot(X_46))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_41, plain,
% 1.96/2.14 ('E'(s(s(s(0))), f(suc(suc(X_37)))) | 'LE'(f(X_37), s(s(s(0))))),
% 1.96/2.14 inference(subst, [], [refute_0_26 : [bind(B_68, $fot(X_37))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_42, plain,
% 1.96/2.14 (~ 'E'(f(X_37), f(suc(X_37))) | ~ 'E'(s(s(s(0))), f(X_37)) |
% 1.96/2.14 ~ 'E'(s(s(s(0))), f(suc(X_37))) |
% 1.96/2.14 ~ 'E'(s(s(s(0))), f(suc(suc(X_37)))) | ~ iLEQ(suc(X_37), suc(X_37))),
% 1.96/2.14 inference(subst, [],
% 1.96/2.14 [clause_190 :
% 1.96/2.14 [bind(A_1, $fot(X_37)), bind(B_69, $fot(X_37)),
% 1.96/2.14 bind(B_70, $fot(X_37)), bind(B_71, $fot(X_37))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_43, plain,
% 1.96/2.14 (~ 'E'(f(X_37), f(suc(X_37))) | ~ 'E'(s(s(s(0))), f(X_37)) |
% 1.96/2.14 ~ 'E'(s(s(s(0))), f(suc(X_37))) | ~ iLEQ(suc(X_37), suc(X_37)) |
% 1.96/2.14 'LE'(f(X_37), s(s(s(0))))),
% 1.96/2.14 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(suc(X_37)))))],
% 1.96/2.14 [refute_0_41, refute_0_42])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_44, plain,
% 1.96/2.14 (~ 'E'(f(X_46), f(suc(X_46))) | ~ 'E'(s(s(s(0))), f(X_46)) |
% 1.96/2.14 ~ 'E'(s(s(s(0))), f(suc(X_46))) | ~ iLEQ(suc(X_46), suc(X_46)) |
% 1.96/2.14 'LE'(f(X_46), s(s(s(0))))),
% 1.96/2.14 inference(subst, [], [refute_0_43 : [bind(X_37, $fot(X_46))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_45, plain,
% 1.96/2.14 (~ 'E'(f(X_46), f(suc(X_46))) | ~ 'E'(s(s(s(0))), f(X_46)) |
% 1.96/2.14 ~ iLEQ(suc(X_46), suc(X_46)) | 'LE'(f(X_46), s(s(s(0))))),
% 1.96/2.14 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(X_46))))],
% 1.96/2.14 [refute_0_40, refute_0_44])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_46, plain,
% 1.96/2.14 (~ 'E'(f(X_47), f(suc(X_47))) | ~ 'E'(s(s(s(0))), f(X_47)) |
% 1.96/2.14 ~ iLEQ(suc(X_47), suc(X_47)) | 'LE'(f(X_47), s(s(s(0))))),
% 1.96/2.14 inference(subst, [], [refute_0_45 : [bind(X_46, $fot(X_47))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_47, plain,
% 1.96/2.14 (~ 'E'(f(X_47), f(suc(X_47))) | ~ iLEQ(suc(X_47), suc(X_47)) |
% 1.96/2.14 'E'(s(s(0)), f(X_47)) | 'LE'(f(X_47), s(s(0))) |
% 1.96/2.14 'LE'(f(X_47), s(s(s(0))))),
% 1.96/2.14 inference(resolve, [$cnf('E'(s(s(s(0))), f(X_47)))],
% 1.96/2.14 [refute_0_39, refute_0_46])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_48, plain,
% 1.96/2.14 (~ 'E'(f(X_81), f(suc(X_81))) | ~ iLEQ(suc(X_81), suc(X_81)) |
% 1.96/2.14 'E'(s(s(0)), f(X_81)) | 'LE'(f(X_81), s(s(0))) |
% 1.96/2.14 'LE'(f(X_81), s(s(s(0))))),
% 1.96/2.14 inference(subst, [], [refute_0_47 : [bind(X_47, $fot(X_81))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_49, plain,
% 1.96/2.14 ('E'(s(s(0)), f(X_25)) | 'E'(s(s(s(0))), f(X_25)) |
% 1.96/2.14 'LE'(f(X_25), s(s(0)))),
% 1.96/2.14 inference(subst, [], [refute_0_11 : [bind(X_9, $fot(X_25))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_50, plain,
% 1.96/2.14 ('E'(s(s(s(0))), f(suc(X_23))) | 'LE'(f(X_23), s(s(s(0))))),
% 1.96/2.14 inference(subst, [], [refute_0_14 : [bind(B_68, $fot(X_23))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_51, plain,
% 1.96/2.14 (~ 'E'(s(s(s(0))), f(X_23)) | ~ 'E'(s(s(s(0))), f(suc(X_23))) |
% 1.96/2.14 ~ iLEQ(suc(X_23), suc(X_23)) | 'E'(f(X_23), f(suc(X_23)))),
% 1.96/2.14 inference(subst, [],
% 1.96/2.14 [clause_2897 :
% 1.96/2.14 [bind(A_1, $fot(X_23)), bind(B_69, $fot(X_23)),
% 1.96/2.14 bind(B_70, $fot(X_23)), bind(B_71, $fot(X_23))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_52, plain,
% 1.96/2.14 (~ 'E'(s(s(s(0))), f(X_23)) | ~ iLEQ(suc(X_23), suc(X_23)) |
% 1.96/2.14 'E'(f(X_23), f(suc(X_23))) | 'LE'(f(X_23), s(s(s(0))))),
% 1.96/2.14 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(X_23))))],
% 1.96/2.14 [refute_0_50, refute_0_51])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_53, plain,
% 1.96/2.14 (~ 'E'(s(s(s(0))), f(X_25)) | ~ iLEQ(suc(X_25), suc(X_25)) |
% 1.96/2.14 'E'(f(X_25), f(suc(X_25))) | 'LE'(f(X_25), s(s(s(0))))),
% 1.96/2.14 inference(subst, [], [refute_0_52 : [bind(X_23, $fot(X_25))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_54, plain,
% 1.96/2.14 (~ iLEQ(suc(X_25), suc(X_25)) | 'E'(f(X_25), f(suc(X_25))) |
% 1.96/2.14 'E'(s(s(0)), f(X_25)) | 'LE'(f(X_25), s(s(0))) |
% 1.96/2.14 'LE'(f(X_25), s(s(s(0))))),
% 1.96/2.14 inference(resolve, [$cnf('E'(s(s(s(0))), f(X_25)))],
% 1.96/2.14 [refute_0_49, refute_0_53])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_55, plain,
% 1.96/2.14 (~ iLEQ(suc(X_78), suc(X_78)) | 'E'(f(X_78), f(suc(X_78))) |
% 1.96/2.14 'E'(s(s(0)), f(X_78)) | 'LE'(f(X_78), s(s(0))) |
% 1.96/2.14 'LE'(f(X_78), s(s(s(0))))),
% 1.96/2.14 inference(subst, [], [refute_0_54 : [bind(X_25, $fot(X_78))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_56, plain,
% 1.96/2.14 ('E'(f(X_78), f(suc(X_78))) | 'E'(s(s(0)), f(X_78)) |
% 1.96/2.14 'LE'(f(X_78), s(s(0))) | 'LE'(f(X_78), s(s(s(0))))),
% 1.96/2.14 inference(resolve, [$cnf(iLEQ(suc(X_78), suc(X_78)))],
% 1.96/2.14 [refute_0_36, refute_0_55])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_57, plain,
% 1.96/2.14 ('E'(f(X_81), f(suc(X_81))) | 'E'(s(s(0)), f(X_81)) |
% 1.96/2.14 'LE'(f(X_81), s(s(0))) | 'LE'(f(X_81), s(s(s(0))))),
% 1.96/2.14 inference(subst, [], [refute_0_56 : [bind(X_78, $fot(X_81))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_58, plain,
% 1.96/2.14 (~ iLEQ(suc(X_81), suc(X_81)) | 'E'(s(s(0)), f(X_81)) |
% 1.96/2.14 'LE'(f(X_81), s(s(0))) | 'LE'(f(X_81), s(s(s(0))))),
% 1.96/2.14 inference(resolve, [$cnf('E'(f(X_81), f(suc(X_81))))],
% 1.96/2.14 [refute_0_57, refute_0_48])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_59, plain,
% 1.96/2.14 (~ iLEQ(suc(X_83), suc(X_83)) | 'E'(s(s(0)), f(X_83)) |
% 1.96/2.14 'LE'(f(X_83), s(s(0))) | 'LE'(f(X_83), s(s(s(0))))),
% 1.96/2.14 inference(subst, [], [refute_0_58 : [bind(X_81, $fot(X_83))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_60, plain,
% 1.96/2.14 ('E'(s(s(0)), f(X_83)) | 'LE'(f(X_83), s(s(0))) |
% 1.96/2.14 'LE'(f(X_83), s(s(s(0))))),
% 1.96/2.14 inference(resolve, [$cnf(iLEQ(suc(X_83), suc(X_83)))],
% 1.96/2.14 [refute_0_38, refute_0_59])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_61, plain,
% 1.96/2.14 ('E'(s(s(0)), f(X_84)) | 'LE'(f(X_84), s(s(0))) |
% 1.96/2.14 'LE'(f(X_84), s(s(s(0))))),
% 1.96/2.14 inference(subst, [], [refute_0_60 : [bind(X_83, $fot(X_84))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_62, plain, ('E'(s(s(0)), f(X_84)) | 'LE'(f(X_84), s(s(0)))),
% 1.96/2.14 inference(resolve, [$cnf('LE'(f(X_84), s(s(s(0)))))],
% 1.96/2.14 [refute_0_61, refute_0_4])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_63, plain, ('E'(s(s(0)), f(X_85)) | 'LE'(f(X_85), s(s(0)))),
% 1.96/2.14 inference(subst, [], [refute_0_62 : [bind(X_84, $fot(X_85))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_64, plain,
% 1.96/2.14 ('E'(s(0), f(X_85)) | 'E'(s(s(0)), f(X_85)) | 'LE'(f(X_85), s(0))),
% 1.96/2.14 inference(resolve, [$cnf('LE'(f(X_85), s(s(0))))],
% 1.96/2.14 [refute_0_63, refute_0_3])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_65, plain,
% 1.96/2.14 ('E'(s(0), f(X_200)) | 'E'(s(s(0)), f(X_200)) | 'LE'(f(X_200), s(0))),
% 1.96/2.14 inference(subst, [], [refute_0_64 : [bind(X_85, $fot(X_200))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_66, plain,
% 1.96/2.14 (~ 'LE'(f(X_126), s(s(0))) | 'E'(s(0), f(X_126)) |
% 1.96/2.14 'LE'(f(X_126), s(0))),
% 1.96/2.14 inference(subst, [], [clause_1914 : [bind(B_137, $fot(X_126))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_67, plain,
% 1.96/2.14 ('E'(s(0), f(X_120)) | 'E'(s(s(0)), f(X_120)) | 'LE'(f(X_120), s(0))),
% 1.96/2.14 inference(subst, [], [refute_0_64 : [bind(X_85, $fot(X_120))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_68, plain,
% 1.96/2.14 (~ 'E'(s(s(0)), f(X_118)) | ~ 'E'(s(s(0)), f(suc(X_118))) |
% 1.96/2.14 'E'(f(X_118), f(suc(X_118))) | iLEQ(suc(X_118), suc(X_118))),
% 1.96/2.14 inference(subst, [], [clause_1537 : [bind(A_2, $fot(X_118))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_69, plain,
% 1.96/2.14 (~ 'LE'(f(suc(X_117)), s(s(s(0)))) | 'E'(s(s(0)), f(suc(X_117))) |
% 1.96/2.14 'LE'(f(X_117), s(s(0)))),
% 1.96/2.14 inference(subst, [], [clause_988 : [bind(B_112, $fot(X_117))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_70, plain,
% 1.96/2.14 (~ 'LE'(f(suc(X_112)), s(s(s(0)))) | 'E'(s(s(0)), f(suc(X_112))) |
% 1.96/2.14 'LE'(f(X_112), s(s(0)))),
% 1.96/2.14 inference(subst, [], [clause_988 : [bind(B_112, $fot(X_112))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_71, plain,
% 1.96/2.14 (~ 'LE'(f(suc(X_91)), s(s(s(0)))) | 'E'(s(s(0)), f(suc(X_91))) |
% 1.96/2.14 'LE'(f(X_91), s(s(0)))),
% 1.96/2.14 inference(subst, [], [clause_988 : [bind(B_112, $fot(X_91))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_72, plain,
% 1.96/2.14 ('E'(s(s(s(0))), f(suc(X_11))) | 'LE'(f(suc(X_11)), s(s(s(0))))),
% 1.96/2.14 inference(subst, [], [refute_0_8 : [bind(B_68, $fot(suc(X_11)))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_73, plain,
% 1.96/2.14 (~ 'LE'(f(suc(X_11)), s(s(s(0)))) | 'E'(s(s(0)), f(suc(X_11))) |
% 1.96/2.14 'LE'(f(X_11), s(s(0)))),
% 1.96/2.14 inference(subst, [], [clause_988 : [bind(B_112, $fot(X_11))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_74, plain,
% 1.96/2.14 ('E'(s(s(0)), f(suc(X_11))) | 'E'(s(s(s(0))), f(suc(X_11))) |
% 1.96/2.14 'LE'(f(X_11), s(s(0)))),
% 1.96/2.14 inference(resolve, [$cnf('LE'(f(suc(X_11)), s(s(s(0)))))],
% 1.96/2.14 [refute_0_72, refute_0_73])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_75, plain,
% 1.96/2.14 (~ 'E'(s(s(s(0))), f(suc(X_11))) |
% 1.96/2.14 'E'(f(suc(X_11)), f(suc(suc(X_11)))) |
% 1.96/2.14 'LE'(f(suc(X_11)), s(s(s(0)))) |
% 1.96/2.14 iLEQ(suc(suc(X_11)), suc(suc(X_11)))),
% 1.96/2.14 inference(subst, [], [refute_0_17 : [bind(X_22, $fot(suc(X_11)))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_76, plain,
% 1.96/2.14 ('E'(f(suc(X_11)), f(suc(suc(X_11)))) | 'E'(s(s(0)), f(suc(X_11))) |
% 1.96/2.14 'LE'(f(X_11), s(s(0))) | 'LE'(f(suc(X_11)), s(s(s(0)))) |
% 1.96/2.14 iLEQ(suc(suc(X_11)), suc(suc(X_11)))),
% 1.96/2.14 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(X_11))))],
% 1.96/2.14 [refute_0_74, refute_0_75])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_77, plain,
% 1.96/2.14 ('E'(f(suc(X_91)), f(suc(suc(X_91)))) | 'E'(s(s(0)), f(suc(X_91))) |
% 1.96/2.14 'LE'(f(X_91), s(s(0))) | 'LE'(f(suc(X_91)), s(s(s(0)))) |
% 1.96/2.14 iLEQ(suc(suc(X_91)), suc(suc(X_91)))),
% 1.96/2.14 inference(subst, [], [refute_0_76 : [bind(X_11, $fot(X_91))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_78, plain,
% 1.96/2.14 ('E'(f(suc(X_91)), f(suc(suc(X_91)))) | 'E'(s(s(0)), f(suc(X_91))) |
% 1.96/2.14 'LE'(f(X_91), s(s(0))) | iLEQ(suc(suc(X_91)), suc(suc(X_91)))),
% 1.96/2.14 inference(resolve, [$cnf('LE'(f(suc(X_91)), s(s(s(0)))))],
% 1.96/2.14 [refute_0_77, refute_0_71])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_79, plain,
% 1.96/2.14 ('E'(f(suc(X_111)), f(suc(suc(X_111)))) | 'E'(s(s(0)), f(suc(X_111))) |
% 1.96/2.14 'LE'(f(X_111), s(s(0))) | iLEQ(suc(suc(X_111)), suc(suc(X_111)))),
% 1.96/2.14 inference(subst, [], [refute_0_78 : [bind(X_91, $fot(X_111))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_80, plain,
% 1.96/2.14 (~ 'E'(f(suc(X_11)), f(suc(suc(X_11)))) |
% 1.96/2.14 ~ 'E'(s(s(s(0))), f(suc(X_11))) | 'LE'(f(suc(X_11)), s(s(s(0)))) |
% 1.96/2.14 iLEQ(suc(suc(X_11)), suc(suc(X_11)))),
% 1.96/2.14 inference(subst, [], [refute_0_31 : [bind(X_49, $fot(suc(X_11)))]])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_81, plain,
% 1.96/2.14 (~ 'E'(f(suc(X_11)), f(suc(suc(X_11)))) | 'E'(s(s(0)), f(suc(X_11))) |
% 1.96/2.14 'LE'(f(X_11), s(s(0))) | 'LE'(f(suc(X_11)), s(s(s(0)))) |
% 1.96/2.14 iLEQ(suc(suc(X_11)), suc(suc(X_11)))),
% 1.96/2.14 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(X_11))))],
% 1.96/2.14 [refute_0_74, refute_0_80])).
% 1.96/2.14
% 1.96/2.14 cnf(refute_0_82, plain,
% 1.96/2.14 (~ 'E'(f(suc(X_111)), f(suc(suc(X_111)))) |
% 1.96/2.14 'E'(s(s(0)), f(suc(X_111))) | 'LE'(f(X_111), s(s(0))) |
% 1.96/2.14 'LE'(f(suc(X_111)), s(s(s(0)))) |
% 1.96/2.14 iLEQ(suc(suc(X_111)), suc(suc(X_111)))),
% 1.96/2.14 inference(subst, [], [refute_0_81 : [bind(X_11, $fot(X_111))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_83, plain,
% 1.96/2.15 ('E'(s(s(0)), f(suc(X_111))) | 'LE'(f(X_111), s(s(0))) |
% 1.96/2.15 'LE'(f(suc(X_111)), s(s(s(0)))) |
% 1.96/2.15 iLEQ(suc(suc(X_111)), suc(suc(X_111)))),
% 1.96/2.15 inference(resolve, [$cnf('E'(f(suc(X_111)), f(suc(suc(X_111)))))],
% 1.96/2.15 [refute_0_79, refute_0_82])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_84, plain,
% 1.96/2.15 ('E'(s(s(0)), f(suc(X_112))) | 'LE'(f(X_112), s(s(0))) |
% 1.96/2.15 'LE'(f(suc(X_112)), s(s(s(0)))) |
% 1.96/2.15 iLEQ(suc(suc(X_112)), suc(suc(X_112)))),
% 1.96/2.15 inference(subst, [], [refute_0_83 : [bind(X_111, $fot(X_112))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_85, plain,
% 1.96/2.15 ('E'(s(s(0)), f(suc(X_112))) | 'LE'(f(X_112), s(s(0))) |
% 1.96/2.15 iLEQ(suc(suc(X_112)), suc(suc(X_112)))),
% 1.96/2.15 inference(resolve, [$cnf('LE'(f(suc(X_112)), s(s(s(0)))))],
% 1.96/2.15 [refute_0_84, refute_0_70])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_86, plain,
% 1.96/2.15 ('E'(s(s(0)), f(suc(X_116))) | 'LE'(f(X_116), s(s(0))) |
% 1.96/2.15 iLEQ(suc(suc(X_116)), suc(suc(X_116)))),
% 1.96/2.15 inference(subst, [], [refute_0_85 : [bind(X_112, $fot(X_116))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_87, plain,
% 1.96/2.15 (~ 'E'(f(suc(X_11)), f(suc(suc(X_11)))) |
% 1.96/2.15 ~ 'E'(s(s(s(0))), f(suc(X_11))) |
% 1.96/2.15 ~ iLEQ(suc(suc(X_11)), suc(suc(X_11))) |
% 1.96/2.15 'LE'(f(suc(X_11)), s(s(s(0))))),
% 1.96/2.15 inference(subst, [], [refute_0_45 : [bind(X_46, $fot(suc(X_11)))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_88, plain,
% 1.96/2.15 (~ 'E'(f(suc(X_11)), f(suc(suc(X_11)))) |
% 1.96/2.15 ~ iLEQ(suc(suc(X_11)), suc(suc(X_11))) | 'E'(s(s(0)), f(suc(X_11))) |
% 1.96/2.15 'LE'(f(X_11), s(s(0))) | 'LE'(f(suc(X_11)), s(s(s(0))))),
% 1.96/2.15 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(X_11))))],
% 1.96/2.15 [refute_0_74, refute_0_87])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_89, plain,
% 1.96/2.15 (~ 'E'(f(suc(X_114)), f(suc(suc(X_114)))) |
% 1.96/2.15 ~ iLEQ(suc(suc(X_114)), suc(suc(X_114))) |
% 1.96/2.15 'E'(s(s(0)), f(suc(X_114))) | 'LE'(f(X_114), s(s(0))) |
% 1.96/2.15 'LE'(f(suc(X_114)), s(s(s(0))))),
% 1.96/2.15 inference(subst, [], [refute_0_88 : [bind(X_11, $fot(X_114))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_90, plain,
% 1.96/2.15 (~ 'E'(s(s(s(0))), f(suc(X_11))) |
% 1.96/2.15 ~ iLEQ(suc(suc(X_11)), suc(suc(X_11))) |
% 1.96/2.15 'E'(f(suc(X_11)), f(suc(suc(X_11)))) |
% 1.96/2.15 'LE'(f(suc(X_11)), s(s(s(0))))),
% 1.96/2.15 inference(subst, [], [refute_0_52 : [bind(X_23, $fot(suc(X_11)))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_91, plain,
% 1.96/2.15 (~ iLEQ(suc(suc(X_11)), suc(suc(X_11))) |
% 1.96/2.15 'E'(f(suc(X_11)), f(suc(suc(X_11)))) | 'E'(s(s(0)), f(suc(X_11))) |
% 1.96/2.15 'LE'(f(X_11), s(s(0))) | 'LE'(f(suc(X_11)), s(s(s(0))))),
% 1.96/2.15 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(X_11))))],
% 1.96/2.15 [refute_0_74, refute_0_90])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_92, plain,
% 1.96/2.15 (~ iLEQ(suc(suc(X_112)), suc(suc(X_112))) |
% 1.96/2.15 'E'(f(suc(X_112)), f(suc(suc(X_112)))) | 'E'(s(s(0)), f(suc(X_112))) |
% 1.96/2.15 'LE'(f(X_112), s(s(0))) | 'LE'(f(suc(X_112)), s(s(s(0))))),
% 1.96/2.15 inference(subst, [], [refute_0_91 : [bind(X_11, $fot(X_112))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_93, plain,
% 1.96/2.15 ('E'(f(suc(X_112)), f(suc(suc(X_112)))) | 'E'(s(s(0)), f(suc(X_112))) |
% 1.96/2.15 'LE'(f(X_112), s(s(0))) | 'LE'(f(suc(X_112)), s(s(s(0))))),
% 1.96/2.15 inference(resolve, [$cnf(iLEQ(suc(suc(X_112)), suc(suc(X_112))))],
% 1.96/2.15 [refute_0_84, refute_0_92])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_94, plain,
% 1.96/2.15 ('E'(f(suc(X_114)), f(suc(suc(X_114)))) | 'E'(s(s(0)), f(suc(X_114))) |
% 1.96/2.15 'LE'(f(X_114), s(s(0))) | 'LE'(f(suc(X_114)), s(s(s(0))))),
% 1.96/2.15 inference(subst, [], [refute_0_93 : [bind(X_112, $fot(X_114))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_95, plain,
% 1.96/2.15 (~ iLEQ(suc(suc(X_114)), suc(suc(X_114))) |
% 1.96/2.15 'E'(s(s(0)), f(suc(X_114))) | 'LE'(f(X_114), s(s(0))) |
% 1.96/2.15 'LE'(f(suc(X_114)), s(s(s(0))))),
% 1.96/2.15 inference(resolve, [$cnf('E'(f(suc(X_114)), f(suc(suc(X_114)))))],
% 1.96/2.15 [refute_0_94, refute_0_89])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_96, plain,
% 1.96/2.15 (~ iLEQ(suc(suc(X_116)), suc(suc(X_116))) |
% 1.96/2.15 'E'(s(s(0)), f(suc(X_116))) | 'LE'(f(X_116), s(s(0))) |
% 1.96/2.15 'LE'(f(suc(X_116)), s(s(s(0))))),
% 1.96/2.15 inference(subst, [], [refute_0_95 : [bind(X_114, $fot(X_116))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_97, plain,
% 1.96/2.15 ('E'(s(s(0)), f(suc(X_116))) | 'LE'(f(X_116), s(s(0))) |
% 1.96/2.15 'LE'(f(suc(X_116)), s(s(s(0))))),
% 1.96/2.15 inference(resolve, [$cnf(iLEQ(suc(suc(X_116)), suc(suc(X_116))))],
% 1.96/2.15 [refute_0_86, refute_0_96])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_98, plain,
% 1.96/2.15 ('E'(s(s(0)), f(suc(X_117))) | 'LE'(f(X_117), s(s(0))) |
% 1.96/2.15 'LE'(f(suc(X_117)), s(s(s(0))))),
% 1.96/2.15 inference(subst, [], [refute_0_97 : [bind(X_116, $fot(X_117))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_99, plain,
% 1.96/2.15 ('E'(s(s(0)), f(suc(X_117))) | 'LE'(f(X_117), s(s(0)))),
% 1.96/2.15 inference(resolve, [$cnf('LE'(f(suc(X_117)), s(s(s(0)))))],
% 1.96/2.15 [refute_0_98, refute_0_69])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_100, plain,
% 1.96/2.15 ('E'(s(s(0)), f(suc(X_118))) | 'LE'(f(X_118), s(s(0)))),
% 1.96/2.15 inference(subst, [], [refute_0_99 : [bind(X_117, $fot(X_118))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_101, plain,
% 1.96/2.15 (~ 'E'(s(s(0)), f(X_118)) | 'E'(f(X_118), f(suc(X_118))) |
% 1.96/2.15 'LE'(f(X_118), s(s(0))) | iLEQ(suc(X_118), suc(X_118))),
% 1.96/2.15 inference(resolve, [$cnf('E'(s(s(0)), f(suc(X_118))))],
% 1.96/2.15 [refute_0_100, refute_0_68])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_102, plain,
% 1.96/2.15 (~ 'E'(s(s(0)), f(X_120)) | 'E'(f(X_120), f(suc(X_120))) |
% 1.96/2.15 'LE'(f(X_120), s(s(0))) | iLEQ(suc(X_120), suc(X_120))),
% 1.96/2.15 inference(subst, [], [refute_0_101 : [bind(X_118, $fot(X_120))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_103, plain,
% 1.96/2.15 ('E'(f(X_120), f(suc(X_120))) | 'E'(s(0), f(X_120)) |
% 1.96/2.15 'LE'(f(X_120), s(0)) | 'LE'(f(X_120), s(s(0))) |
% 1.96/2.15 iLEQ(suc(X_120), suc(X_120))),
% 1.96/2.15 inference(resolve, [$cnf('E'(s(s(0)), f(X_120)))],
% 1.96/2.15 [refute_0_67, refute_0_102])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_104, plain,
% 1.96/2.15 ('E'(f(X_126), f(suc(X_126))) | 'E'(s(0), f(X_126)) |
% 1.96/2.15 'LE'(f(X_126), s(0)) | 'LE'(f(X_126), s(s(0))) |
% 1.96/2.15 iLEQ(suc(X_126), suc(X_126))),
% 1.96/2.15 inference(subst, [], [refute_0_103 : [bind(X_120, $fot(X_126))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_105, plain,
% 1.96/2.15 ('E'(f(X_126), f(suc(X_126))) | 'E'(s(0), f(X_126)) |
% 1.96/2.15 'LE'(f(X_126), s(0)) | iLEQ(suc(X_126), suc(X_126))),
% 1.96/2.15 inference(resolve, [$cnf('LE'(f(X_126), s(s(0))))],
% 1.96/2.15 [refute_0_104, refute_0_66])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_106, plain,
% 1.96/2.15 ('E'(f(X_180), f(suc(X_180))) | 'E'(s(0), f(X_180)) |
% 1.96/2.15 'LE'(f(X_180), s(0)) | iLEQ(suc(X_180), suc(X_180))),
% 1.96/2.15 inference(subst, [], [refute_0_105 : [bind(X_126, $fot(X_180))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_107, plain,
% 1.96/2.15 ('E'(s(s(0)), f(suc(X_179))) | 'LE'(f(X_179), s(s(0)))),
% 1.96/2.15 inference(subst, [], [refute_0_99 : [bind(X_117, $fot(X_179))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_108, plain,
% 1.96/2.15 (~ 'E'(f(X_171), f(suc(X_171))) | ~ 'E'(s(s(0)), f(X_171)) |
% 1.96/2.15 ~ 'E'(s(s(0)), f(suc(X_171))) | ~ 'E'(s(s(0)), f(suc(suc(X_171)))) |
% 1.96/2.15 iLEQ(suc(X_171), suc(X_171))),
% 1.96/2.15 inference(subst, [], [clause_1659 : [bind(A_2, $fot(X_171))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_109, plain,
% 1.96/2.15 (~ 'LE'(f(suc(suc(X_170))), s(s(s(0)))) |
% 1.96/2.15 'E'(s(s(0)), f(suc(suc(X_170)))) | 'LE'(f(X_170), s(s(0)))),
% 1.96/2.15 inference(subst, [], [clause_679 : [bind(B_112, $fot(X_170))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_110, plain,
% 1.96/2.15 ('E'(s(s(s(0))), f(suc(suc(X_14)))) |
% 1.96/2.15 'LE'(f(suc(suc(X_14))), s(s(s(0))))),
% 1.96/2.15 inference(subst, [],
% 1.96/2.15 [refute_0_8 : [bind(B_68, $fot(suc(suc(X_14))))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_111, plain,
% 1.96/2.15 (~ 'LE'(f(suc(suc(X_14))), s(s(s(0)))) |
% 1.96/2.15 'E'(s(s(0)), f(suc(suc(X_14)))) | 'LE'(f(X_14), s(s(0)))),
% 1.96/2.15 inference(subst, [], [clause_679 : [bind(B_112, $fot(X_14))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_112, plain,
% 1.96/2.15 ('E'(s(s(0)), f(suc(suc(X_14)))) | 'E'(s(s(s(0))), f(suc(suc(X_14)))) |
% 1.96/2.15 'LE'(f(X_14), s(s(0)))),
% 1.96/2.15 inference(resolve, [$cnf('LE'(f(suc(suc(X_14))), s(s(s(0)))))],
% 1.96/2.15 [refute_0_110, refute_0_111])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_113, plain,
% 1.96/2.15 ('E'(s(s(0)), f(suc(suc(X_169)))) |
% 1.96/2.15 'E'(s(s(s(0))), f(suc(suc(X_169)))) | 'LE'(f(X_169), s(s(0)))),
% 1.96/2.15 inference(subst, [], [refute_0_112 : [bind(X_14, $fot(X_169))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_114, plain,
% 1.96/2.15 ('E'(s(s(0)), f(suc(suc(X_137)))) |
% 1.96/2.15 'E'(s(s(s(0))), f(suc(suc(X_137)))) | 'LE'(f(X_137), s(s(0)))),
% 1.96/2.15 inference(subst, [], [refute_0_112 : [bind(X_14, $fot(X_137))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_115, plain,
% 1.96/2.15 (~ 'E'(f(suc(suc(X_123))), f(suc(suc(suc(X_123))))) |
% 1.96/2.15 ~ 'E'(s(s(s(0))), f(suc(suc(X_123)))) |
% 1.96/2.15 'LE'(f(suc(suc(X_123))), s(s(s(0)))) |
% 1.96/2.15 iLEQ(suc(suc(suc(X_123))), suc(suc(suc(X_123))))),
% 1.96/2.15 inference(subst, [],
% 1.96/2.15 [refute_0_31 : [bind(X_49, $fot(suc(suc(X_123))))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_116, plain,
% 1.96/2.15 (~ 'E'(s(s(s(0))), f(suc(suc(X_14)))) |
% 1.96/2.15 'E'(f(suc(suc(X_14))), f(suc(suc(suc(X_14))))) |
% 1.96/2.15 'LE'(f(suc(suc(X_14))), s(s(s(0)))) |
% 1.96/2.15 iLEQ(suc(suc(suc(X_14))), suc(suc(suc(X_14))))),
% 1.96/2.15 inference(subst, [],
% 1.96/2.15 [refute_0_17 : [bind(X_22, $fot(suc(suc(X_14))))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_117, plain,
% 1.96/2.15 ('E'(f(suc(suc(X_14))), f(suc(suc(suc(X_14))))) |
% 1.96/2.15 'E'(s(s(0)), f(suc(suc(X_14)))) | 'LE'(f(X_14), s(s(0))) |
% 1.96/2.15 'LE'(f(suc(suc(X_14))), s(s(s(0)))) |
% 1.96/2.15 iLEQ(suc(suc(suc(X_14))), suc(suc(suc(X_14))))),
% 1.96/2.15 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(suc(X_14)))))],
% 1.96/2.15 [refute_0_112, refute_0_116])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_118, plain,
% 1.96/2.15 ('E'(f(suc(suc(X_123))), f(suc(suc(suc(X_123))))) |
% 1.96/2.15 'E'(s(s(0)), f(suc(suc(X_123)))) | 'LE'(f(X_123), s(s(0))) |
% 1.96/2.15 'LE'(f(suc(suc(X_123))), s(s(s(0)))) |
% 1.96/2.15 iLEQ(suc(suc(suc(X_123))), suc(suc(suc(X_123))))),
% 1.96/2.15 inference(subst, [], [refute_0_117 : [bind(X_14, $fot(X_123))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_119, plain,
% 1.96/2.15 (~ 'E'(s(s(s(0))), f(suc(suc(X_123)))) |
% 1.96/2.15 'E'(s(s(0)), f(suc(suc(X_123)))) | 'LE'(f(X_123), s(s(0))) |
% 1.96/2.15 'LE'(f(suc(suc(X_123))), s(s(s(0)))) |
% 1.96/2.15 iLEQ(suc(suc(suc(X_123))), suc(suc(suc(X_123))))),
% 1.96/2.15 inference(resolve,
% 1.96/2.15 [$cnf('E'(f(suc(suc(X_123))), f(suc(suc(suc(X_123))))))],
% 1.96/2.15 [refute_0_118, refute_0_115])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_120, plain,
% 1.96/2.15 (~ 'E'(s(s(s(0))), f(suc(suc(X_137)))) |
% 1.96/2.15 'E'(s(s(0)), f(suc(suc(X_137)))) | 'LE'(f(X_137), s(s(0))) |
% 1.96/2.15 'LE'(f(suc(suc(X_137))), s(s(s(0)))) |
% 1.96/2.15 iLEQ(suc(suc(suc(X_137))), suc(suc(suc(X_137))))),
% 1.96/2.15 inference(subst, [], [refute_0_119 : [bind(X_123, $fot(X_137))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_121, plain,
% 1.96/2.15 ('E'(s(s(0)), f(suc(suc(X_137)))) | 'LE'(f(X_137), s(s(0))) |
% 1.96/2.15 'LE'(f(suc(suc(X_137))), s(s(s(0)))) |
% 1.96/2.15 iLEQ(suc(suc(suc(X_137))), suc(suc(suc(X_137))))),
% 1.96/2.15 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(suc(X_137)))))],
% 1.96/2.15 [refute_0_114, refute_0_120])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_122, plain,
% 1.96/2.15 ('E'(s(s(0)), f(suc(suc(X_168)))) | 'LE'(f(X_168), s(s(0))) |
% 1.96/2.15 'LE'(f(suc(suc(X_168))), s(s(s(0)))) |
% 1.96/2.15 iLEQ(suc(suc(suc(X_168))), suc(suc(suc(X_168))))),
% 1.96/2.15 inference(subst, [], [refute_0_121 : [bind(X_137, $fot(X_168))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_123, plain,
% 1.96/2.15 (~ 'E'(f(suc(suc(X_160))), f(suc(suc(suc(X_160))))) |
% 1.96/2.15 ~ 'E'(s(s(s(0))), f(suc(suc(X_160)))) |
% 1.96/2.15 ~ iLEQ(suc(suc(suc(X_160))), suc(suc(suc(X_160)))) |
% 1.96/2.15 'LE'(f(suc(suc(X_160))), s(s(s(0))))),
% 1.96/2.15 inference(subst, [],
% 1.96/2.15 [refute_0_45 : [bind(X_46, $fot(suc(suc(X_160))))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_124, plain,
% 1.96/2.15 ('E'(s(s(0)), f(suc(suc(X_159)))) |
% 1.96/2.15 'E'(s(s(s(0))), f(suc(suc(X_159)))) | 'LE'(f(X_159), s(s(0)))),
% 1.96/2.15 inference(subst, [], [refute_0_112 : [bind(X_14, $fot(X_159))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_125, plain,
% 1.96/2.15 (~ 'E'(s(s(s(0))), f(suc(suc(X_138)))) |
% 1.96/2.15 ~ iLEQ(suc(suc(suc(X_138))), suc(suc(suc(X_138)))) |
% 1.96/2.15 'E'(f(suc(suc(X_138))), f(suc(suc(suc(X_138))))) |
% 1.96/2.15 'LE'(f(suc(suc(X_138))), s(s(s(0))))),
% 1.96/2.15 inference(subst, [],
% 1.96/2.15 [refute_0_52 : [bind(X_23, $fot(suc(suc(X_138))))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_126, plain,
% 1.96/2.15 ('E'(s(s(0)), f(suc(suc(X_138)))) | 'LE'(f(X_138), s(s(0))) |
% 1.96/2.15 'LE'(f(suc(suc(X_138))), s(s(s(0)))) |
% 1.96/2.15 iLEQ(suc(suc(suc(X_138))), suc(suc(suc(X_138))))),
% 1.96/2.15 inference(subst, [], [refute_0_121 : [bind(X_137, $fot(X_138))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_127, plain,
% 1.96/2.15 (~ 'E'(s(s(s(0))), f(suc(suc(X_138)))) |
% 1.96/2.15 'E'(f(suc(suc(X_138))), f(suc(suc(suc(X_138))))) |
% 1.96/2.15 'E'(s(s(0)), f(suc(suc(X_138)))) | 'LE'(f(X_138), s(s(0))) |
% 1.96/2.15 'LE'(f(suc(suc(X_138))), s(s(s(0))))),
% 1.96/2.15 inference(resolve,
% 1.96/2.15 [$cnf(iLEQ(suc(suc(suc(X_138))), suc(suc(suc(X_138)))))],
% 1.96/2.15 [refute_0_126, refute_0_125])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_128, plain,
% 1.96/2.15 (~ 'E'(s(s(s(0))), f(suc(suc(X_159)))) |
% 1.96/2.15 'E'(f(suc(suc(X_159))), f(suc(suc(suc(X_159))))) |
% 1.96/2.15 'E'(s(s(0)), f(suc(suc(X_159)))) | 'LE'(f(X_159), s(s(0))) |
% 1.96/2.15 'LE'(f(suc(suc(X_159))), s(s(s(0))))),
% 1.96/2.15 inference(subst, [], [refute_0_127 : [bind(X_138, $fot(X_159))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_129, plain,
% 1.96/2.15 ('E'(f(suc(suc(X_159))), f(suc(suc(suc(X_159))))) |
% 1.96/2.15 'E'(s(s(0)), f(suc(suc(X_159)))) | 'LE'(f(X_159), s(s(0))) |
% 1.96/2.15 'LE'(f(suc(suc(X_159))), s(s(s(0))))),
% 1.96/2.15 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(suc(X_159)))))],
% 1.96/2.15 [refute_0_124, refute_0_128])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_130, plain,
% 1.96/2.15 ('E'(f(suc(suc(X_160))), f(suc(suc(suc(X_160))))) |
% 1.96/2.15 'E'(s(s(0)), f(suc(suc(X_160)))) | 'LE'(f(X_160), s(s(0))) |
% 1.96/2.15 'LE'(f(suc(suc(X_160))), s(s(s(0))))),
% 1.96/2.15 inference(subst, [], [refute_0_129 : [bind(X_159, $fot(X_160))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_131, plain,
% 1.96/2.15 (~ 'E'(s(s(s(0))), f(suc(suc(X_160)))) |
% 1.96/2.15 ~ iLEQ(suc(suc(suc(X_160))), suc(suc(suc(X_160)))) |
% 1.96/2.15 'E'(s(s(0)), f(suc(suc(X_160)))) | 'LE'(f(X_160), s(s(0))) |
% 1.96/2.15 'LE'(f(suc(suc(X_160))), s(s(s(0))))),
% 1.96/2.15 inference(resolve,
% 1.96/2.15 [$cnf('E'(f(suc(suc(X_160))), f(suc(suc(suc(X_160))))))],
% 1.96/2.15 [refute_0_130, refute_0_123])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_132, plain,
% 1.96/2.15 (~ 'E'(s(s(s(0))), f(suc(suc(X_168)))) |
% 1.96/2.15 ~ iLEQ(suc(suc(suc(X_168))), suc(suc(suc(X_168)))) |
% 1.96/2.15 'E'(s(s(0)), f(suc(suc(X_168)))) | 'LE'(f(X_168), s(s(0))) |
% 1.96/2.15 'LE'(f(suc(suc(X_168))), s(s(s(0))))),
% 1.96/2.15 inference(subst, [], [refute_0_131 : [bind(X_160, $fot(X_168))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_133, plain,
% 1.96/2.15 (~ 'E'(s(s(s(0))), f(suc(suc(X_168)))) |
% 1.96/2.15 'E'(s(s(0)), f(suc(suc(X_168)))) | 'LE'(f(X_168), s(s(0))) |
% 1.96/2.15 'LE'(f(suc(suc(X_168))), s(s(s(0))))),
% 1.96/2.15 inference(resolve,
% 1.96/2.15 [$cnf(iLEQ(suc(suc(suc(X_168))), suc(suc(suc(X_168)))))],
% 1.96/2.15 [refute_0_122, refute_0_132])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_134, plain,
% 1.96/2.15 (~ 'E'(s(s(s(0))), f(suc(suc(X_169)))) |
% 1.96/2.15 'E'(s(s(0)), f(suc(suc(X_169)))) | 'LE'(f(X_169), s(s(0))) |
% 1.96/2.15 'LE'(f(suc(suc(X_169))), s(s(s(0))))),
% 1.96/2.15 inference(subst, [], [refute_0_133 : [bind(X_168, $fot(X_169))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_135, plain,
% 1.96/2.15 ('E'(s(s(0)), f(suc(suc(X_169)))) | 'LE'(f(X_169), s(s(0))) |
% 1.96/2.15 'LE'(f(suc(suc(X_169))), s(s(s(0))))),
% 1.96/2.15 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(suc(X_169)))))],
% 1.96/2.15 [refute_0_113, refute_0_134])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_136, plain,
% 1.96/2.15 ('E'(s(s(0)), f(suc(suc(X_170)))) | 'LE'(f(X_170), s(s(0))) |
% 1.96/2.15 'LE'(f(suc(suc(X_170))), s(s(s(0))))),
% 1.96/2.15 inference(subst, [], [refute_0_135 : [bind(X_169, $fot(X_170))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_137, plain,
% 1.96/2.15 ('E'(s(s(0)), f(suc(suc(X_170)))) | 'LE'(f(X_170), s(s(0)))),
% 1.96/2.15 inference(resolve, [$cnf('LE'(f(suc(suc(X_170))), s(s(s(0)))))],
% 1.96/2.15 [refute_0_136, refute_0_109])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_138, plain,
% 1.96/2.15 ('E'(s(s(0)), f(suc(suc(X_171)))) | 'LE'(f(X_171), s(s(0)))),
% 1.96/2.15 inference(subst, [], [refute_0_137 : [bind(X_170, $fot(X_171))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_139, plain,
% 1.96/2.15 (~ 'E'(f(X_171), f(suc(X_171))) | ~ 'E'(s(s(0)), f(X_171)) |
% 1.96/2.15 ~ 'E'(s(s(0)), f(suc(X_171))) | 'LE'(f(X_171), s(s(0))) |
% 1.96/2.15 iLEQ(suc(X_171), suc(X_171))),
% 1.96/2.15 inference(resolve, [$cnf('E'(s(s(0)), f(suc(suc(X_171)))))],
% 1.96/2.15 [refute_0_138, refute_0_108])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_140, plain,
% 1.96/2.15 (~ 'E'(f(X_179), f(suc(X_179))) | ~ 'E'(s(s(0)), f(X_179)) |
% 1.96/2.15 ~ 'E'(s(s(0)), f(suc(X_179))) | 'LE'(f(X_179), s(s(0))) |
% 1.96/2.15 iLEQ(suc(X_179), suc(X_179))),
% 1.96/2.15 inference(subst, [], [refute_0_139 : [bind(X_171, $fot(X_179))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_141, plain,
% 1.96/2.15 (~ 'E'(f(X_179), f(suc(X_179))) | ~ 'E'(s(s(0)), f(X_179)) |
% 1.96/2.15 'LE'(f(X_179), s(s(0))) | iLEQ(suc(X_179), suc(X_179))),
% 1.96/2.15 inference(resolve, [$cnf('E'(s(s(0)), f(suc(X_179))))],
% 1.96/2.15 [refute_0_107, refute_0_140])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_142, plain,
% 1.96/2.15 (~ 'E'(f(X_180), f(suc(X_180))) | ~ 'E'(s(s(0)), f(X_180)) |
% 1.96/2.15 'LE'(f(X_180), s(s(0))) | iLEQ(suc(X_180), suc(X_180))),
% 1.96/2.15 inference(subst, [], [refute_0_141 : [bind(X_179, $fot(X_180))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_143, plain,
% 1.96/2.15 (~ 'E'(s(s(0)), f(X_180)) | 'E'(s(0), f(X_180)) |
% 1.96/2.15 'LE'(f(X_180), s(0)) | 'LE'(f(X_180), s(s(0))) |
% 1.96/2.15 iLEQ(suc(X_180), suc(X_180))),
% 1.96/2.15 inference(resolve, [$cnf('E'(f(X_180), f(suc(X_180))))],
% 1.96/2.15 [refute_0_106, refute_0_142])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_144, plain,
% 1.96/2.15 (~ 'E'(s(s(0)), f(X_200)) | 'E'(s(0), f(X_200)) |
% 1.96/2.15 'LE'(f(X_200), s(0)) | 'LE'(f(X_200), s(s(0))) |
% 1.96/2.15 iLEQ(suc(X_200), suc(X_200))),
% 1.96/2.15 inference(subst, [], [refute_0_143 : [bind(X_180, $fot(X_200))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_145, plain,
% 1.96/2.15 ('E'(s(0), f(X_200)) | 'LE'(f(X_200), s(0)) | 'LE'(f(X_200), s(s(0))) |
% 1.96/2.15 iLEQ(suc(X_200), suc(X_200))),
% 1.96/2.15 inference(resolve, [$cnf('E'(s(s(0)), f(X_200)))],
% 1.96/2.15 [refute_0_65, refute_0_144])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_146, plain,
% 1.96/2.15 ('E'(s(0), f(X_201)) | 'LE'(f(X_201), s(0)) | 'LE'(f(X_201), s(s(0))) |
% 1.96/2.15 iLEQ(suc(X_201), suc(X_201))),
% 1.96/2.15 inference(subst, [], [refute_0_145 : [bind(X_200, $fot(X_201))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_147, plain,
% 1.96/2.15 ('E'(s(0), f(X_201)) | 'LE'(f(X_201), s(0)) |
% 1.96/2.15 iLEQ(suc(X_201), suc(X_201))),
% 1.96/2.15 inference(resolve, [$cnf('LE'(f(X_201), s(s(0))))],
% 1.96/2.15 [refute_0_146, refute_0_2])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_148, plain,
% 1.96/2.15 ('E'(s(0), f(X_206)) | 'LE'(f(X_206), s(0)) |
% 1.96/2.15 iLEQ(suc(X_206), suc(X_206))),
% 1.96/2.15 inference(subst, [], [refute_0_147 : [bind(X_201, $fot(X_206))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_149, plain,
% 1.96/2.15 (~ 'LE'(f(X_203), s(s(0))) | 'E'(s(0), f(X_203)) |
% 1.96/2.15 'LE'(f(X_203), s(0))),
% 1.96/2.15 inference(subst, [], [clause_1914 : [bind(B_137, $fot(X_203))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_150, plain,
% 1.96/2.15 ('E'(s(0), f(X_119)) | 'E'(s(s(0)), f(X_119)) | 'LE'(f(X_119), s(0))),
% 1.96/2.15 inference(subst, [], [refute_0_64 : [bind(X_85, $fot(X_119))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_151, plain,
% 1.96/2.15 (~ 'E'(s(s(0)), f(X_118)) | ~ 'E'(s(s(0)), f(suc(X_118))) |
% 1.96/2.15 ~ iLEQ(suc(X_118), suc(X_118)) | 'E'(f(X_118), f(suc(X_118)))),
% 1.96/2.15 inference(subst, [],
% 1.96/2.15 [clause_2095 :
% 1.96/2.15 [bind(A_2, $fot(X_118)), bind(B_113, $fot(X_118)),
% 1.96/2.15 bind(B_114, $fot(X_118)), bind(B_115, $fot(X_118))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_152, plain,
% 1.96/2.15 (~ 'E'(s(s(0)), f(X_118)) | ~ iLEQ(suc(X_118), suc(X_118)) |
% 1.96/2.15 'E'(f(X_118), f(suc(X_118))) | 'LE'(f(X_118), s(s(0)))),
% 1.96/2.15 inference(resolve, [$cnf('E'(s(s(0)), f(suc(X_118))))],
% 1.96/2.15 [refute_0_100, refute_0_151])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_153, plain,
% 1.96/2.15 (~ 'E'(s(s(0)), f(X_119)) | ~ iLEQ(suc(X_119), suc(X_119)) |
% 1.96/2.15 'E'(f(X_119), f(suc(X_119))) | 'LE'(f(X_119), s(s(0)))),
% 1.96/2.15 inference(subst, [], [refute_0_152 : [bind(X_118, $fot(X_119))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_154, plain,
% 1.96/2.15 (~ iLEQ(suc(X_119), suc(X_119)) | 'E'(f(X_119), f(suc(X_119))) |
% 1.96/2.15 'E'(s(0), f(X_119)) | 'LE'(f(X_119), s(0)) | 'LE'(f(X_119), s(s(0)))),
% 1.96/2.15 inference(resolve, [$cnf('E'(s(s(0)), f(X_119)))],
% 1.96/2.15 [refute_0_150, refute_0_153])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_155, plain,
% 1.96/2.15 (~ iLEQ(suc(X_201), suc(X_201)) | 'E'(f(X_201), f(suc(X_201))) |
% 1.96/2.15 'E'(s(0), f(X_201)) | 'LE'(f(X_201), s(0)) | 'LE'(f(X_201), s(s(0)))),
% 1.96/2.15 inference(subst, [], [refute_0_154 : [bind(X_119, $fot(X_201))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_156, plain,
% 1.96/2.15 ('E'(f(X_201), f(suc(X_201))) | 'E'(s(0), f(X_201)) |
% 1.96/2.15 'LE'(f(X_201), s(0)) | 'LE'(f(X_201), s(s(0)))),
% 1.96/2.15 inference(resolve, [$cnf(iLEQ(suc(X_201), suc(X_201)))],
% 1.96/2.15 [refute_0_146, refute_0_155])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_157, plain,
% 1.96/2.15 ('E'(f(X_203), f(suc(X_203))) | 'E'(s(0), f(X_203)) |
% 1.96/2.15 'LE'(f(X_203), s(0)) | 'LE'(f(X_203), s(s(0)))),
% 1.96/2.15 inference(subst, [], [refute_0_156 : [bind(X_201, $fot(X_203))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_158, plain,
% 1.96/2.15 ('E'(f(X_203), f(suc(X_203))) | 'E'(s(0), f(X_203)) |
% 1.96/2.15 'LE'(f(X_203), s(0))),
% 1.96/2.15 inference(resolve, [$cnf('LE'(f(X_203), s(s(0))))],
% 1.96/2.15 [refute_0_157, refute_0_149])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_159, plain,
% 1.96/2.15 ('E'(f(X_205), f(suc(X_205))) | 'E'(s(0), f(X_205)) |
% 1.96/2.15 'LE'(f(X_205), s(0))),
% 1.96/2.15 inference(subst, [], [refute_0_158 : [bind(X_203, $fot(X_205))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_160, plain,
% 1.96/2.15 ('E'(s(0), f(X_186)) | 'E'(s(s(0)), f(X_186)) | 'LE'(f(X_186), s(0))),
% 1.96/2.15 inference(subst, [], [refute_0_64 : [bind(X_85, $fot(X_186))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_161, plain,
% 1.96/2.15 ('E'(s(s(0)), f(suc(X_185))) | 'LE'(f(X_185), s(s(0)))),
% 1.96/2.15 inference(subst, [], [refute_0_99 : [bind(X_117, $fot(X_185))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_162, plain,
% 1.96/2.15 (~ 'E'(f(X_171), f(suc(X_171))) | ~ 'E'(s(s(0)), f(X_171)) |
% 1.96/2.15 ~ 'E'(s(s(0)), f(suc(X_171))) | ~ 'E'(s(s(0)), f(suc(suc(X_171)))) |
% 1.96/2.15 ~ iLEQ(suc(X_171), suc(X_171))),
% 1.96/2.15 inference(subst, [],
% 1.96/2.15 [clause_2044 :
% 1.96/2.15 [bind(A_2, $fot(X_171)), bind(B_113, $fot(X_171)),
% 1.96/2.15 bind(B_114, $fot(X_171)), bind(B_115, $fot(X_171))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_163, plain,
% 1.96/2.15 (~ 'E'(f(X_171), f(suc(X_171))) | ~ 'E'(s(s(0)), f(X_171)) |
% 1.96/2.15 ~ 'E'(s(s(0)), f(suc(X_171))) | ~ iLEQ(suc(X_171), suc(X_171)) |
% 1.96/2.15 'LE'(f(X_171), s(s(0)))),
% 1.96/2.15 inference(resolve, [$cnf('E'(s(s(0)), f(suc(suc(X_171)))))],
% 1.96/2.15 [refute_0_138, refute_0_162])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_164, plain,
% 1.96/2.15 (~ 'E'(f(X_185), f(suc(X_185))) | ~ 'E'(s(s(0)), f(X_185)) |
% 1.96/2.15 ~ 'E'(s(s(0)), f(suc(X_185))) | ~ iLEQ(suc(X_185), suc(X_185)) |
% 1.96/2.15 'LE'(f(X_185), s(s(0)))),
% 1.96/2.15 inference(subst, [], [refute_0_163 : [bind(X_171, $fot(X_185))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_165, plain,
% 1.96/2.15 (~ 'E'(f(X_185), f(suc(X_185))) | ~ 'E'(s(s(0)), f(X_185)) |
% 1.96/2.15 ~ iLEQ(suc(X_185), suc(X_185)) | 'LE'(f(X_185), s(s(0)))),
% 1.96/2.15 inference(resolve, [$cnf('E'(s(s(0)), f(suc(X_185))))],
% 1.96/2.15 [refute_0_161, refute_0_164])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_166, plain,
% 1.96/2.15 (~ 'E'(f(X_186), f(suc(X_186))) | ~ 'E'(s(s(0)), f(X_186)) |
% 1.96/2.15 ~ iLEQ(suc(X_186), suc(X_186)) | 'LE'(f(X_186), s(s(0)))),
% 1.96/2.15 inference(subst, [], [refute_0_165 : [bind(X_185, $fot(X_186))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_167, plain,
% 1.96/2.15 (~ 'E'(f(X_186), f(suc(X_186))) | ~ iLEQ(suc(X_186), suc(X_186)) |
% 1.96/2.15 'E'(s(0), f(X_186)) | 'LE'(f(X_186), s(0)) | 'LE'(f(X_186), s(s(0)))),
% 1.96/2.15 inference(resolve, [$cnf('E'(s(s(0)), f(X_186)))],
% 1.96/2.15 [refute_0_160, refute_0_166])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_168, plain,
% 1.96/2.15 (~ 'E'(f(X_205), f(suc(X_205))) | ~ iLEQ(suc(X_205), suc(X_205)) |
% 1.96/2.15 'E'(s(0), f(X_205)) | 'LE'(f(X_205), s(0)) | 'LE'(f(X_205), s(s(0)))),
% 1.96/2.15 inference(subst, [], [refute_0_167 : [bind(X_186, $fot(X_205))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_169, plain,
% 1.96/2.15 (~ iLEQ(suc(X_205), suc(X_205)) | 'E'(s(0), f(X_205)) |
% 1.96/2.15 'LE'(f(X_205), s(0)) | 'LE'(f(X_205), s(s(0)))),
% 1.96/2.15 inference(resolve, [$cnf('E'(f(X_205), f(suc(X_205))))],
% 1.96/2.15 [refute_0_159, refute_0_168])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_170, plain,
% 1.96/2.15 (~ iLEQ(suc(X_206), suc(X_206)) | 'E'(s(0), f(X_206)) |
% 1.96/2.15 'LE'(f(X_206), s(0)) | 'LE'(f(X_206), s(s(0)))),
% 1.96/2.15 inference(subst, [], [refute_0_169 : [bind(X_205, $fot(X_206))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_171, plain,
% 1.96/2.15 ('E'(s(0), f(X_206)) | 'LE'(f(X_206), s(0)) | 'LE'(f(X_206), s(s(0)))),
% 1.96/2.15 inference(resolve, [$cnf(iLEQ(suc(X_206), suc(X_206)))],
% 1.96/2.15 [refute_0_148, refute_0_170])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_172, plain,
% 1.96/2.15 ('E'(s(0), f(X_207)) | 'LE'(f(X_207), s(0)) | 'LE'(f(X_207), s(s(0)))),
% 1.96/2.15 inference(subst, [], [refute_0_171 : [bind(X_206, $fot(X_207))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_173, plain, ('E'(s(0), f(X_207)) | 'LE'(f(X_207), s(0))),
% 1.96/2.15 inference(resolve, [$cnf('LE'(f(X_207), s(s(0))))],
% 1.96/2.15 [refute_0_172, refute_0_1])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_174, plain,
% 1.96/2.15 ('E'(s(0), f(suc(B_149))) | 'LE'(f(suc(B_149)), s(0))),
% 1.96/2.15 inference(subst, [],
% 1.96/2.15 [refute_0_173 : [bind(X_207, $fot(suc(B_149)))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_175, plain,
% 1.96/2.15 ('E'(0, f(suc(B_149))) | 'E'(s(0), f(suc(B_149))) | 'LE'(f(B_149), 0)),
% 1.96/2.15 inference(resolve, [$cnf('LE'(f(suc(B_149)), s(0)))],
% 1.96/2.15 [refute_0_174, clause_2704])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_176, plain,
% 1.96/2.15 ('E'(0, f(suc(X_359))) | 'E'(s(0), f(suc(X_359))) | 'LE'(f(X_359), 0)),
% 1.96/2.15 inference(subst, [], [refute_0_175 : [bind(B_149, $fot(X_359))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_177, plain,
% 1.96/2.15 ('E'(0, f(suc(X_336))) | 'E'(s(0), f(suc(X_336))) | 'LE'(f(X_336), 0)),
% 1.96/2.15 inference(subst, [], [refute_0_175 : [bind(B_149, $fot(X_336))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_178, plain,
% 1.96/2.15 (~ 'LE'(f(suc(X_260)), s(s(0))) | 'E'(s(0), f(suc(X_260))) |
% 1.96/2.15 'LE'(f(X_260), s(0))),
% 1.96/2.15 inference(subst, [], [clause_2463 : [bind(B_137, $fot(X_260))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_179, plain,
% 1.96/2.15 ('E'(s(s(0)), f(suc(B_137))) | 'LE'(f(suc(B_137)), s(s(0)))),
% 1.96/2.15 inference(subst, [], [refute_0_62 : [bind(X_84, $fot(suc(B_137)))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_180, plain,
% 1.96/2.15 ('E'(s(0), f(suc(B_137))) | 'E'(s(s(0)), f(suc(B_137))) |
% 1.96/2.15 'LE'(f(B_137), s(0))),
% 1.96/2.15 inference(resolve, [$cnf('LE'(f(suc(B_137)), s(s(0))))],
% 1.96/2.15 [refute_0_179, clause_2463])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_181, plain,
% 1.96/2.15 ('E'(s(0), f(suc(X_259))) | 'E'(s(s(0)), f(suc(X_259))) |
% 1.96/2.15 'LE'(f(X_259), s(0))),
% 1.96/2.15 inference(subst, [], [refute_0_180 : [bind(B_137, $fot(X_259))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_182, plain,
% 1.96/2.15 ('E'(s(0), f(suc(X_234))) | 'E'(s(s(0)), f(suc(X_234))) |
% 1.96/2.15 'LE'(f(X_234), s(0))),
% 1.96/2.15 inference(subst, [], [refute_0_180 : [bind(B_137, $fot(X_234))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_183, plain,
% 1.96/2.15 (~ 'E'(s(s(0)), f(suc(B_137))) |
% 1.96/2.15 'E'(f(suc(B_137)), f(suc(suc(B_137)))) |
% 1.96/2.15 'LE'(f(suc(B_137)), s(s(0))) |
% 1.96/2.15 iLEQ(suc(suc(B_137)), suc(suc(B_137)))),
% 1.96/2.15 inference(subst, [],
% 1.96/2.15 [refute_0_101 : [bind(X_118, $fot(suc(B_137)))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_184, plain,
% 1.96/2.15 ('E'(f(suc(B_137)), f(suc(suc(B_137)))) | 'E'(s(0), f(suc(B_137))) |
% 1.96/2.15 'LE'(f(B_137), s(0)) | 'LE'(f(suc(B_137)), s(s(0))) |
% 1.96/2.15 iLEQ(suc(suc(B_137)), suc(suc(B_137)))),
% 1.96/2.15 inference(resolve, [$cnf('E'(s(s(0)), f(suc(B_137))))],
% 1.96/2.15 [refute_0_180, refute_0_183])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_185, plain,
% 1.96/2.15 (~ 'E'(f(suc(B_137)), f(suc(suc(B_137)))) |
% 1.96/2.15 ~ 'E'(s(s(0)), f(suc(B_137))) | 'LE'(f(suc(B_137)), s(s(0))) |
% 1.96/2.15 iLEQ(suc(suc(B_137)), suc(suc(B_137)))),
% 1.96/2.15 inference(subst, [],
% 1.96/2.15 [refute_0_141 : [bind(X_179, $fot(suc(B_137)))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_186, plain,
% 1.96/2.15 (~ 'E'(s(s(0)), f(suc(B_137))) | 'E'(s(0), f(suc(B_137))) |
% 1.96/2.15 'LE'(f(B_137), s(0)) | 'LE'(f(suc(B_137)), s(s(0))) |
% 1.96/2.15 iLEQ(suc(suc(B_137)), suc(suc(B_137)))),
% 1.96/2.15 inference(resolve, [$cnf('E'(f(suc(B_137)), f(suc(suc(B_137)))))],
% 1.96/2.15 [refute_0_184, refute_0_185])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_187, plain,
% 1.96/2.15 (~ 'E'(s(s(0)), f(suc(X_234))) | 'E'(s(0), f(suc(X_234))) |
% 1.96/2.15 'LE'(f(X_234), s(0)) | 'LE'(f(suc(X_234)), s(s(0))) |
% 1.96/2.15 iLEQ(suc(suc(X_234)), suc(suc(X_234)))),
% 1.96/2.15 inference(subst, [], [refute_0_186 : [bind(B_137, $fot(X_234))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_188, plain,
% 1.96/2.15 ('E'(s(0), f(suc(X_234))) | 'LE'(f(X_234), s(0)) |
% 1.96/2.15 'LE'(f(suc(X_234)), s(s(0))) |
% 1.96/2.15 iLEQ(suc(suc(X_234)), suc(suc(X_234)))),
% 1.96/2.15 inference(resolve, [$cnf('E'(s(s(0)), f(suc(X_234))))],
% 1.96/2.15 [refute_0_182, refute_0_187])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_189, plain,
% 1.96/2.15 ('E'(s(0), f(suc(X_258))) | 'LE'(f(X_258), s(0)) |
% 1.96/2.15 'LE'(f(suc(X_258)), s(s(0))) |
% 1.96/2.15 iLEQ(suc(suc(X_258)), suc(suc(X_258)))),
% 1.96/2.15 inference(subst, [], [refute_0_188 : [bind(X_234, $fot(X_258))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_190, plain,
% 1.96/2.15 (~ 'E'(f(suc(X_255)), f(suc(suc(X_255)))) |
% 1.96/2.15 ~ 'E'(s(s(0)), f(suc(X_255))) |
% 1.96/2.15 ~ iLEQ(suc(suc(X_255)), suc(suc(X_255))) |
% 1.96/2.15 'LE'(f(suc(X_255)), s(s(0)))),
% 1.96/2.15 inference(subst, [],
% 1.96/2.15 [refute_0_165 : [bind(X_185, $fot(suc(X_255)))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_191, plain,
% 1.96/2.15 ('E'(s(0), f(suc(X_254))) | 'E'(s(s(0)), f(suc(X_254))) |
% 1.96/2.15 'LE'(f(X_254), s(0))),
% 1.96/2.15 inference(subst, [], [refute_0_180 : [bind(B_137, $fot(X_254))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_192, plain,
% 1.96/2.15 (~ 'E'(s(s(0)), f(suc(X_235))) |
% 1.96/2.15 ~ iLEQ(suc(suc(X_235)), suc(suc(X_235))) |
% 1.96/2.15 'E'(f(suc(X_235)), f(suc(suc(X_235)))) |
% 1.96/2.15 'LE'(f(suc(X_235)), s(s(0)))),
% 1.96/2.15 inference(subst, [],
% 1.96/2.15 [refute_0_152 : [bind(X_118, $fot(suc(X_235)))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_193, plain,
% 1.96/2.15 ('E'(s(0), f(suc(X_235))) | 'LE'(f(X_235), s(0)) |
% 1.96/2.15 'LE'(f(suc(X_235)), s(s(0))) |
% 1.96/2.15 iLEQ(suc(suc(X_235)), suc(suc(X_235)))),
% 1.96/2.15 inference(subst, [], [refute_0_188 : [bind(X_234, $fot(X_235))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_194, plain,
% 1.96/2.15 (~ 'E'(s(s(0)), f(suc(X_235))) |
% 1.96/2.15 'E'(f(suc(X_235)), f(suc(suc(X_235)))) | 'E'(s(0), f(suc(X_235))) |
% 1.96/2.15 'LE'(f(X_235), s(0)) | 'LE'(f(suc(X_235)), s(s(0)))),
% 1.96/2.15 inference(resolve, [$cnf(iLEQ(suc(suc(X_235)), suc(suc(X_235))))],
% 1.96/2.15 [refute_0_193, refute_0_192])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_195, plain,
% 1.96/2.15 (~ 'E'(s(s(0)), f(suc(X_254))) |
% 1.96/2.15 'E'(f(suc(X_254)), f(suc(suc(X_254)))) | 'E'(s(0), f(suc(X_254))) |
% 1.96/2.15 'LE'(f(X_254), s(0)) | 'LE'(f(suc(X_254)), s(s(0)))),
% 1.96/2.15 inference(subst, [], [refute_0_194 : [bind(X_235, $fot(X_254))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_196, plain,
% 1.96/2.15 ('E'(f(suc(X_254)), f(suc(suc(X_254)))) | 'E'(s(0), f(suc(X_254))) |
% 1.96/2.15 'LE'(f(X_254), s(0)) | 'LE'(f(suc(X_254)), s(s(0)))),
% 1.96/2.15 inference(resolve, [$cnf('E'(s(s(0)), f(suc(X_254))))],
% 1.96/2.15 [refute_0_191, refute_0_195])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_197, plain,
% 1.96/2.15 ('E'(f(suc(X_255)), f(suc(suc(X_255)))) | 'E'(s(0), f(suc(X_255))) |
% 1.96/2.15 'LE'(f(X_255), s(0)) | 'LE'(f(suc(X_255)), s(s(0)))),
% 1.96/2.15 inference(subst, [], [refute_0_196 : [bind(X_254, $fot(X_255))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_198, plain,
% 1.96/2.15 (~ 'E'(s(s(0)), f(suc(X_255))) |
% 1.96/2.15 ~ iLEQ(suc(suc(X_255)), suc(suc(X_255))) | 'E'(s(0), f(suc(X_255))) |
% 1.96/2.15 'LE'(f(X_255), s(0)) | 'LE'(f(suc(X_255)), s(s(0)))),
% 1.96/2.15 inference(resolve, [$cnf('E'(f(suc(X_255)), f(suc(suc(X_255)))))],
% 1.96/2.15 [refute_0_197, refute_0_190])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_199, plain,
% 1.96/2.15 (~ 'E'(s(s(0)), f(suc(X_258))) |
% 1.96/2.15 ~ iLEQ(suc(suc(X_258)), suc(suc(X_258))) | 'E'(s(0), f(suc(X_258))) |
% 1.96/2.15 'LE'(f(X_258), s(0)) | 'LE'(f(suc(X_258)), s(s(0)))),
% 1.96/2.15 inference(subst, [], [refute_0_198 : [bind(X_255, $fot(X_258))]])).
% 1.96/2.15
% 1.96/2.15 cnf(refute_0_200, plain,
% 1.96/2.15 (~ 'E'(s(s(0)), f(suc(X_258))) | 'E'(s(0), f(suc(X_258))) |
% 1.96/2.15 'LE'(f(X_258), s(0)) | 'LE'(f(suc(X_258)), s(s(0)))),
% 1.96/2.15 inference(resolve, [$cnf(iLEQ(suc(suc(X_258)), suc(suc(X_258))))],
% 1.96/2.15 [refute_0_189, refute_0_199])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_201, plain,
% 1.96/2.16 (~ 'E'(s(s(0)), f(suc(X_259))) | 'E'(s(0), f(suc(X_259))) |
% 1.96/2.16 'LE'(f(X_259), s(0)) | 'LE'(f(suc(X_259)), s(s(0)))),
% 1.96/2.16 inference(subst, [], [refute_0_200 : [bind(X_258, $fot(X_259))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_202, plain,
% 1.96/2.16 ('E'(s(0), f(suc(X_259))) | 'LE'(f(X_259), s(0)) |
% 1.96/2.16 'LE'(f(suc(X_259)), s(s(0)))),
% 1.96/2.16 inference(resolve, [$cnf('E'(s(s(0)), f(suc(X_259))))],
% 1.96/2.16 [refute_0_181, refute_0_201])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_203, plain,
% 1.96/2.16 ('E'(s(0), f(suc(X_260))) | 'LE'(f(X_260), s(0)) |
% 1.96/2.16 'LE'(f(suc(X_260)), s(s(0)))),
% 1.96/2.16 inference(subst, [], [refute_0_202 : [bind(X_259, $fot(X_260))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_204, plain, ('E'(s(0), f(suc(X_260))) | 'LE'(f(X_260), s(0))),
% 1.96/2.16 inference(resolve, [$cnf('LE'(f(suc(X_260)), s(s(0))))],
% 1.96/2.16 [refute_0_203, refute_0_178])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_205, plain, ('E'(s(0), f(suc(X_290))) | 'LE'(f(X_290), s(0))),
% 1.96/2.16 inference(subst, [], [refute_0_204 : [bind(X_260, $fot(X_290))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_206, plain,
% 1.96/2.16 (~ 'E'(f(X_284), f(suc(X_284))) | ~ 'E'(s(0), f(X_284)) |
% 1.96/2.16 ~ 'E'(s(0), f(suc(X_284))) | ~ 'E'(s(0), f(suc(suc(X_284)))) |
% 1.96/2.16 iLEQ(suc(X_284), suc(X_284))),
% 1.96/2.16 inference(subst, [], [clause_491 : [bind(A_3, $fot(X_284))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_207, plain,
% 1.96/2.16 (~ 'LE'(f(suc(suc(X_283))), s(s(0))) | 'E'(s(0), f(suc(suc(X_283)))) |
% 1.96/2.16 'LE'(f(X_283), s(0))),
% 1.96/2.16 inference(subst, [], [clause_1799 : [bind(B_137, $fot(X_283))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_208, plain,
% 1.96/2.16 ('E'(s(s(0)), f(suc(suc(B_137)))) | 'LE'(f(suc(suc(B_137))), s(s(0)))),
% 1.96/2.16 inference(subst, [],
% 1.96/2.16 [refute_0_62 : [bind(X_84, $fot(suc(suc(B_137))))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_209, plain,
% 1.96/2.16 ('E'(s(0), f(suc(suc(B_137)))) | 'E'(s(s(0)), f(suc(suc(B_137)))) |
% 1.96/2.16 'LE'(f(B_137), s(0))),
% 1.96/2.16 inference(resolve, [$cnf('LE'(f(suc(suc(B_137))), s(s(0))))],
% 1.96/2.16 [refute_0_208, clause_1799])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_210, plain,
% 1.96/2.16 ('E'(s(0), f(suc(suc(X_282)))) | 'E'(s(s(0)), f(suc(suc(X_282)))) |
% 1.96/2.16 'LE'(f(X_282), s(0))),
% 1.96/2.16 inference(subst, [], [refute_0_209 : [bind(B_137, $fot(X_282))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_211, plain,
% 1.96/2.16 ('E'(s(0), f(suc(suc(X_240)))) | 'E'(s(s(0)), f(suc(suc(X_240)))) |
% 1.96/2.16 'LE'(f(X_240), s(0))),
% 1.96/2.16 inference(subst, [], [refute_0_209 : [bind(B_137, $fot(X_240))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_212, plain,
% 1.96/2.16 (~ 'E'(f(suc(suc(X_237))), f(suc(suc(suc(X_237))))) |
% 1.96/2.16 ~ 'E'(s(s(0)), f(suc(suc(X_237)))) |
% 1.96/2.16 'LE'(f(suc(suc(X_237))), s(s(0))) |
% 1.96/2.16 iLEQ(suc(suc(suc(X_237))), suc(suc(suc(X_237))))),
% 1.96/2.16 inference(subst, [],
% 1.96/2.16 [refute_0_141 : [bind(X_179, $fot(suc(suc(X_237))))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_213, plain,
% 1.96/2.16 (~ 'E'(s(s(0)), f(suc(suc(B_137)))) |
% 1.96/2.16 'E'(f(suc(suc(B_137))), f(suc(suc(suc(B_137))))) |
% 1.96/2.16 'LE'(f(suc(suc(B_137))), s(s(0))) |
% 1.96/2.16 iLEQ(suc(suc(suc(B_137))), suc(suc(suc(B_137))))),
% 1.96/2.16 inference(subst, [],
% 1.96/2.16 [refute_0_101 : [bind(X_118, $fot(suc(suc(B_137))))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_214, plain,
% 1.96/2.16 ('E'(f(suc(suc(B_137))), f(suc(suc(suc(B_137))))) |
% 1.96/2.16 'E'(s(0), f(suc(suc(B_137)))) | 'LE'(f(B_137), s(0)) |
% 1.96/2.16 'LE'(f(suc(suc(B_137))), s(s(0))) |
% 1.96/2.16 iLEQ(suc(suc(suc(B_137))), suc(suc(suc(B_137))))),
% 1.96/2.16 inference(resolve, [$cnf('E'(s(s(0)), f(suc(suc(B_137)))))],
% 1.96/2.16 [refute_0_209, refute_0_213])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_215, plain,
% 1.96/2.16 ('E'(f(suc(suc(X_237))), f(suc(suc(suc(X_237))))) |
% 1.96/2.16 'E'(s(0), f(suc(suc(X_237)))) | 'LE'(f(X_237), s(0)) |
% 1.96/2.16 'LE'(f(suc(suc(X_237))), s(s(0))) |
% 1.96/2.16 iLEQ(suc(suc(suc(X_237))), suc(suc(suc(X_237))))),
% 1.96/2.16 inference(subst, [], [refute_0_214 : [bind(B_137, $fot(X_237))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_216, plain,
% 1.96/2.16 (~ 'E'(s(s(0)), f(suc(suc(X_237)))) | 'E'(s(0), f(suc(suc(X_237)))) |
% 1.96/2.16 'LE'(f(X_237), s(0)) | 'LE'(f(suc(suc(X_237))), s(s(0))) |
% 1.96/2.16 iLEQ(suc(suc(suc(X_237))), suc(suc(suc(X_237))))),
% 1.96/2.16 inference(resolve,
% 1.96/2.16 [$cnf('E'(f(suc(suc(X_237))), f(suc(suc(suc(X_237))))))],
% 1.96/2.16 [refute_0_215, refute_0_212])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_217, plain,
% 1.96/2.16 (~ 'E'(s(s(0)), f(suc(suc(X_240)))) | 'E'(s(0), f(suc(suc(X_240)))) |
% 1.96/2.16 'LE'(f(X_240), s(0)) | 'LE'(f(suc(suc(X_240))), s(s(0))) |
% 1.96/2.16 iLEQ(suc(suc(suc(X_240))), suc(suc(suc(X_240))))),
% 1.96/2.16 inference(subst, [], [refute_0_216 : [bind(X_237, $fot(X_240))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_218, plain,
% 1.96/2.16 ('E'(s(0), f(suc(suc(X_240)))) | 'LE'(f(X_240), s(0)) |
% 1.96/2.16 'LE'(f(suc(suc(X_240))), s(s(0))) |
% 1.96/2.16 iLEQ(suc(suc(suc(X_240))), suc(suc(suc(X_240))))),
% 1.96/2.16 inference(resolve, [$cnf('E'(s(s(0)), f(suc(suc(X_240)))))],
% 1.96/2.16 [refute_0_211, refute_0_217])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_219, plain,
% 1.96/2.16 ('E'(s(0), f(suc(suc(X_281)))) | 'LE'(f(X_281), s(0)) |
% 1.96/2.16 'LE'(f(suc(suc(X_281))), s(s(0))) |
% 1.96/2.16 iLEQ(suc(suc(suc(X_281))), suc(suc(suc(X_281))))),
% 1.96/2.16 inference(subst, [], [refute_0_218 : [bind(X_240, $fot(X_281))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_220, plain,
% 1.96/2.16 (~ 'E'(f(suc(suc(X_272))), f(suc(suc(suc(X_272))))) |
% 1.96/2.16 ~ 'E'(s(s(0)), f(suc(suc(X_272)))) |
% 1.96/2.16 ~ iLEQ(suc(suc(suc(X_272))), suc(suc(suc(X_272)))) |
% 1.96/2.16 'LE'(f(suc(suc(X_272))), s(s(0)))),
% 1.96/2.16 inference(subst, [],
% 1.96/2.16 [refute_0_165 : [bind(X_185, $fot(suc(suc(X_272))))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_221, plain,
% 1.96/2.16 ('E'(s(0), f(suc(suc(X_271)))) | 'E'(s(s(0)), f(suc(suc(X_271)))) |
% 1.96/2.16 'LE'(f(X_271), s(0))),
% 1.96/2.16 inference(subst, [], [refute_0_209 : [bind(B_137, $fot(X_271))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_222, plain,
% 1.96/2.16 (~ 'E'(s(s(0)), f(suc(suc(X_241)))) |
% 1.96/2.16 ~ iLEQ(suc(suc(suc(X_241))), suc(suc(suc(X_241)))) |
% 1.96/2.16 'E'(f(suc(suc(X_241))), f(suc(suc(suc(X_241))))) |
% 1.96/2.16 'LE'(f(suc(suc(X_241))), s(s(0)))),
% 1.96/2.16 inference(subst, [],
% 1.96/2.16 [refute_0_152 : [bind(X_118, $fot(suc(suc(X_241))))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_223, plain,
% 1.96/2.16 ('E'(s(0), f(suc(suc(X_241)))) | 'LE'(f(X_241), s(0)) |
% 1.96/2.16 'LE'(f(suc(suc(X_241))), s(s(0))) |
% 1.96/2.16 iLEQ(suc(suc(suc(X_241))), suc(suc(suc(X_241))))),
% 1.96/2.16 inference(subst, [], [refute_0_218 : [bind(X_240, $fot(X_241))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_224, plain,
% 1.96/2.16 (~ 'E'(s(s(0)), f(suc(suc(X_241)))) |
% 1.96/2.16 'E'(f(suc(suc(X_241))), f(suc(suc(suc(X_241))))) |
% 1.96/2.16 'E'(s(0), f(suc(suc(X_241)))) | 'LE'(f(X_241), s(0)) |
% 1.96/2.16 'LE'(f(suc(suc(X_241))), s(s(0)))),
% 1.96/2.16 inference(resolve,
% 1.96/2.16 [$cnf(iLEQ(suc(suc(suc(X_241))), suc(suc(suc(X_241)))))],
% 1.96/2.16 [refute_0_223, refute_0_222])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_225, plain,
% 1.96/2.16 (~ 'E'(s(s(0)), f(suc(suc(X_271)))) |
% 1.96/2.16 'E'(f(suc(suc(X_271))), f(suc(suc(suc(X_271))))) |
% 1.96/2.16 'E'(s(0), f(suc(suc(X_271)))) | 'LE'(f(X_271), s(0)) |
% 1.96/2.16 'LE'(f(suc(suc(X_271))), s(s(0)))),
% 1.96/2.16 inference(subst, [], [refute_0_224 : [bind(X_241, $fot(X_271))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_226, plain,
% 1.96/2.16 ('E'(f(suc(suc(X_271))), f(suc(suc(suc(X_271))))) |
% 1.96/2.16 'E'(s(0), f(suc(suc(X_271)))) | 'LE'(f(X_271), s(0)) |
% 1.96/2.16 'LE'(f(suc(suc(X_271))), s(s(0)))),
% 1.96/2.16 inference(resolve, [$cnf('E'(s(s(0)), f(suc(suc(X_271)))))],
% 1.96/2.16 [refute_0_221, refute_0_225])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_227, plain,
% 1.96/2.16 ('E'(f(suc(suc(X_272))), f(suc(suc(suc(X_272))))) |
% 1.96/2.16 'E'(s(0), f(suc(suc(X_272)))) | 'LE'(f(X_272), s(0)) |
% 1.96/2.16 'LE'(f(suc(suc(X_272))), s(s(0)))),
% 1.96/2.16 inference(subst, [], [refute_0_226 : [bind(X_271, $fot(X_272))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_228, plain,
% 1.96/2.16 (~ 'E'(s(s(0)), f(suc(suc(X_272)))) |
% 1.96/2.16 ~ iLEQ(suc(suc(suc(X_272))), suc(suc(suc(X_272)))) |
% 1.96/2.16 'E'(s(0), f(suc(suc(X_272)))) | 'LE'(f(X_272), s(0)) |
% 1.96/2.16 'LE'(f(suc(suc(X_272))), s(s(0)))),
% 1.96/2.16 inference(resolve,
% 1.96/2.16 [$cnf('E'(f(suc(suc(X_272))), f(suc(suc(suc(X_272))))))],
% 1.96/2.16 [refute_0_227, refute_0_220])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_229, plain,
% 1.96/2.16 (~ 'E'(s(s(0)), f(suc(suc(X_281)))) |
% 1.96/2.16 ~ iLEQ(suc(suc(suc(X_281))), suc(suc(suc(X_281)))) |
% 1.96/2.16 'E'(s(0), f(suc(suc(X_281)))) | 'LE'(f(X_281), s(0)) |
% 1.96/2.16 'LE'(f(suc(suc(X_281))), s(s(0)))),
% 1.96/2.16 inference(subst, [], [refute_0_228 : [bind(X_272, $fot(X_281))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_230, plain,
% 1.96/2.16 (~ 'E'(s(s(0)), f(suc(suc(X_281)))) | 'E'(s(0), f(suc(suc(X_281)))) |
% 1.96/2.16 'LE'(f(X_281), s(0)) | 'LE'(f(suc(suc(X_281))), s(s(0)))),
% 1.96/2.16 inference(resolve,
% 1.96/2.16 [$cnf(iLEQ(suc(suc(suc(X_281))), suc(suc(suc(X_281)))))],
% 1.96/2.16 [refute_0_219, refute_0_229])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_231, plain,
% 1.96/2.16 (~ 'E'(s(s(0)), f(suc(suc(X_282)))) | 'E'(s(0), f(suc(suc(X_282)))) |
% 1.96/2.16 'LE'(f(X_282), s(0)) | 'LE'(f(suc(suc(X_282))), s(s(0)))),
% 1.96/2.16 inference(subst, [], [refute_0_230 : [bind(X_281, $fot(X_282))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_232, plain,
% 1.96/2.16 ('E'(s(0), f(suc(suc(X_282)))) | 'LE'(f(X_282), s(0)) |
% 1.96/2.16 'LE'(f(suc(suc(X_282))), s(s(0)))),
% 1.96/2.16 inference(resolve, [$cnf('E'(s(s(0)), f(suc(suc(X_282)))))],
% 1.96/2.16 [refute_0_210, refute_0_231])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_233, plain,
% 1.96/2.16 ('E'(s(0), f(suc(suc(X_283)))) | 'LE'(f(X_283), s(0)) |
% 1.96/2.16 'LE'(f(suc(suc(X_283))), s(s(0)))),
% 1.96/2.16 inference(subst, [], [refute_0_232 : [bind(X_282, $fot(X_283))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_234, plain,
% 1.96/2.16 ('E'(s(0), f(suc(suc(X_283)))) | 'LE'(f(X_283), s(0))),
% 1.96/2.16 inference(resolve, [$cnf('LE'(f(suc(suc(X_283))), s(s(0))))],
% 1.96/2.16 [refute_0_233, refute_0_207])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_235, plain,
% 1.96/2.16 ('E'(s(0), f(suc(suc(X_284)))) | 'LE'(f(X_284), s(0))),
% 1.96/2.16 inference(subst, [], [refute_0_234 : [bind(X_283, $fot(X_284))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_236, plain,
% 1.96/2.16 (~ 'E'(f(X_284), f(suc(X_284))) | ~ 'E'(s(0), f(X_284)) |
% 1.96/2.16 ~ 'E'(s(0), f(suc(X_284))) | 'LE'(f(X_284), s(0)) |
% 1.96/2.16 iLEQ(suc(X_284), suc(X_284))),
% 1.96/2.16 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_284)))))],
% 1.96/2.16 [refute_0_235, refute_0_206])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_237, plain,
% 1.96/2.16 (~ 'E'(f(X_290), f(suc(X_290))) | ~ 'E'(s(0), f(X_290)) |
% 1.96/2.16 ~ 'E'(s(0), f(suc(X_290))) | 'LE'(f(X_290), s(0)) |
% 1.96/2.16 iLEQ(suc(X_290), suc(X_290))),
% 1.96/2.16 inference(subst, [], [refute_0_236 : [bind(X_284, $fot(X_290))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_238, plain,
% 1.96/2.16 (~ 'E'(f(X_290), f(suc(X_290))) | ~ 'E'(s(0), f(X_290)) |
% 1.96/2.16 'LE'(f(X_290), s(0)) | iLEQ(suc(X_290), suc(X_290))),
% 1.96/2.16 inference(resolve, [$cnf('E'(s(0), f(suc(X_290))))],
% 1.96/2.16 [refute_0_205, refute_0_237])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_239, plain,
% 1.96/2.16 (~ 'E'(f(suc(X_334)), f(suc(suc(X_334)))) |
% 1.96/2.16 ~ 'E'(s(0), f(suc(X_334))) | 'LE'(f(suc(X_334)), s(0)) |
% 1.96/2.16 iLEQ(suc(suc(X_334)), suc(suc(X_334)))),
% 1.96/2.16 inference(subst, [],
% 1.96/2.16 [refute_0_238 : [bind(X_290, $fot(suc(X_334)))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_240, plain,
% 1.96/2.16 (~ 'E'(s(0), f(X_261)) | ~ 'E'(s(0), f(suc(X_261))) |
% 1.96/2.16 'E'(f(X_261), f(suc(X_261))) | iLEQ(suc(X_261), suc(X_261))),
% 1.96/2.16 inference(subst, [], [clause_2240 : [bind(A_3, $fot(X_261))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_241, plain, ('E'(s(0), f(suc(X_261))) | 'LE'(f(X_261), s(0))),
% 1.96/2.16 inference(subst, [], [refute_0_204 : [bind(X_260, $fot(X_261))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_242, plain,
% 1.96/2.16 (~ 'E'(s(0), f(X_261)) | 'E'(f(X_261), f(suc(X_261))) |
% 1.96/2.16 'LE'(f(X_261), s(0)) | iLEQ(suc(X_261), suc(X_261))),
% 1.96/2.16 inference(resolve, [$cnf('E'(s(0), f(suc(X_261))))],
% 1.96/2.16 [refute_0_241, refute_0_240])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_243, plain,
% 1.96/2.16 (~ 'E'(s(0), f(suc(B_149))) | 'E'(f(suc(B_149)), f(suc(suc(B_149)))) |
% 1.96/2.16 'LE'(f(suc(B_149)), s(0)) | iLEQ(suc(suc(B_149)), suc(suc(B_149)))),
% 1.96/2.16 inference(subst, [],
% 1.96/2.16 [refute_0_242 : [bind(X_261, $fot(suc(B_149)))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_244, plain,
% 1.96/2.16 ('E'(0, f(suc(B_149))) | 'E'(f(suc(B_149)), f(suc(suc(B_149)))) |
% 1.96/2.16 'LE'(f(B_149), 0) | 'LE'(f(suc(B_149)), s(0)) |
% 1.96/2.16 iLEQ(suc(suc(B_149)), suc(suc(B_149)))),
% 1.96/2.16 inference(resolve, [$cnf('E'(s(0), f(suc(B_149))))],
% 1.96/2.16 [refute_0_175, refute_0_243])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_245, plain,
% 1.96/2.16 ('E'(0, f(suc(X_334))) | 'E'(f(suc(X_334)), f(suc(suc(X_334)))) |
% 1.96/2.16 'LE'(f(X_334), 0) | 'LE'(f(suc(X_334)), s(0)) |
% 1.96/2.16 iLEQ(suc(suc(X_334)), suc(suc(X_334)))),
% 1.96/2.16 inference(subst, [], [refute_0_244 : [bind(B_149, $fot(X_334))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_246, plain,
% 1.96/2.16 (~ 'E'(s(0), f(suc(X_334))) | 'E'(0, f(suc(X_334))) |
% 1.96/2.16 'LE'(f(X_334), 0) | 'LE'(f(suc(X_334)), s(0)) |
% 1.96/2.16 iLEQ(suc(suc(X_334)), suc(suc(X_334)))),
% 1.96/2.16 inference(resolve, [$cnf('E'(f(suc(X_334)), f(suc(suc(X_334)))))],
% 1.96/2.16 [refute_0_245, refute_0_239])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_247, plain,
% 1.96/2.16 (~ 'E'(s(0), f(suc(X_336))) | 'E'(0, f(suc(X_336))) |
% 1.96/2.16 'LE'(f(X_336), 0) | 'LE'(f(suc(X_336)), s(0)) |
% 1.96/2.16 iLEQ(suc(suc(X_336)), suc(suc(X_336)))),
% 1.96/2.16 inference(subst, [], [refute_0_246 : [bind(X_334, $fot(X_336))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_248, plain,
% 1.96/2.16 ('E'(0, f(suc(X_336))) | 'LE'(f(X_336), 0) |
% 1.96/2.16 'LE'(f(suc(X_336)), s(0)) | iLEQ(suc(suc(X_336)), suc(suc(X_336)))),
% 1.96/2.16 inference(resolve, [$cnf('E'(s(0), f(suc(X_336))))],
% 1.96/2.16 [refute_0_177, refute_0_247])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_249, plain,
% 1.96/2.16 ('E'(0, f(suc(X_358))) | 'LE'(f(X_358), 0) |
% 1.96/2.16 'LE'(f(suc(X_358)), s(0)) | iLEQ(suc(suc(X_358)), suc(suc(X_358)))),
% 1.96/2.16 inference(subst, [], [refute_0_248 : [bind(X_336, $fot(X_358))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_250, plain, ('E'(s(0), f(suc(X_302))) | 'LE'(f(X_302), s(0))),
% 1.96/2.16 inference(subst, [], [refute_0_204 : [bind(X_260, $fot(X_302))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_251, plain,
% 1.96/2.16 (~ 'E'(f(X_284), f(suc(X_284))) | ~ 'E'(s(0), f(X_284)) |
% 1.96/2.16 ~ 'E'(s(0), f(suc(X_284))) | ~ 'E'(s(0), f(suc(suc(X_284)))) |
% 1.96/2.16 ~ iLEQ(suc(X_284), suc(X_284))),
% 1.96/2.16 inference(subst, [],
% 1.96/2.16 [clause_1275 :
% 1.96/2.16 [bind(A_3, $fot(X_284)), bind(B_138, $fot(X_284)),
% 1.96/2.16 bind(B_139, $fot(X_284)), bind(B_140, $fot(X_284))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_252, plain,
% 1.96/2.16 (~ 'E'(f(X_284), f(suc(X_284))) | ~ 'E'(s(0), f(X_284)) |
% 1.96/2.16 ~ 'E'(s(0), f(suc(X_284))) | ~ iLEQ(suc(X_284), suc(X_284)) |
% 1.96/2.16 'LE'(f(X_284), s(0))),
% 1.96/2.16 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_284)))))],
% 1.96/2.16 [refute_0_235, refute_0_251])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_253, plain,
% 1.96/2.16 (~ 'E'(f(X_302), f(suc(X_302))) | ~ 'E'(s(0), f(X_302)) |
% 1.96/2.16 ~ 'E'(s(0), f(suc(X_302))) | ~ iLEQ(suc(X_302), suc(X_302)) |
% 1.96/2.16 'LE'(f(X_302), s(0))),
% 1.96/2.16 inference(subst, [], [refute_0_252 : [bind(X_284, $fot(X_302))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_254, plain,
% 1.96/2.16 (~ 'E'(f(X_302), f(suc(X_302))) | ~ 'E'(s(0), f(X_302)) |
% 1.96/2.16 ~ iLEQ(suc(X_302), suc(X_302)) | 'LE'(f(X_302), s(0))),
% 1.96/2.16 inference(resolve, [$cnf('E'(s(0), f(suc(X_302))))],
% 1.96/2.16 [refute_0_250, refute_0_253])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_255, plain,
% 1.96/2.16 (~ 'E'(f(suc(X_352)), f(suc(suc(X_352)))) |
% 1.96/2.16 ~ 'E'(s(0), f(suc(X_352))) |
% 1.96/2.16 ~ iLEQ(suc(suc(X_352)), suc(suc(X_352))) | 'LE'(f(suc(X_352)), s(0))),
% 1.96/2.16 inference(subst, [],
% 1.96/2.16 [refute_0_254 : [bind(X_302, $fot(suc(X_352)))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_256, plain,
% 1.96/2.16 ('E'(0, f(suc(X_351))) | 'E'(s(0), f(suc(X_351))) | 'LE'(f(X_351), 0)),
% 1.96/2.16 inference(subst, [], [refute_0_175 : [bind(B_149, $fot(X_351))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_257, plain,
% 1.96/2.16 (~ 'E'(s(0), f(X_261)) | ~ 'E'(s(0), f(suc(X_261))) |
% 1.96/2.16 ~ iLEQ(suc(X_261), suc(X_261)) | 'E'(f(X_261), f(suc(X_261)))),
% 1.96/2.16 inference(subst, [],
% 1.96/2.16 [clause_2899 :
% 1.96/2.16 [bind(A_3, $fot(X_261)), bind(B_138, $fot(X_261)),
% 1.96/2.16 bind(B_139, $fot(X_261)), bind(B_140, $fot(X_261))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_258, plain,
% 1.96/2.16 (~ 'E'(s(0), f(X_261)) | ~ iLEQ(suc(X_261), suc(X_261)) |
% 1.96/2.16 'E'(f(X_261), f(suc(X_261))) | 'LE'(f(X_261), s(0))),
% 1.96/2.16 inference(resolve, [$cnf('E'(s(0), f(suc(X_261))))],
% 1.96/2.16 [refute_0_241, refute_0_257])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_259, plain,
% 1.96/2.16 (~ 'E'(s(0), f(suc(X_337))) |
% 1.96/2.16 ~ iLEQ(suc(suc(X_337)), suc(suc(X_337))) |
% 1.96/2.16 'E'(f(suc(X_337)), f(suc(suc(X_337)))) | 'LE'(f(suc(X_337)), s(0))),
% 1.96/2.16 inference(subst, [],
% 1.96/2.16 [refute_0_258 : [bind(X_261, $fot(suc(X_337)))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_260, plain,
% 1.96/2.16 ('E'(0, f(suc(X_337))) | 'LE'(f(X_337), 0) |
% 1.96/2.16 'LE'(f(suc(X_337)), s(0)) | iLEQ(suc(suc(X_337)), suc(suc(X_337)))),
% 1.96/2.16 inference(subst, [], [refute_0_248 : [bind(X_336, $fot(X_337))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_261, plain,
% 1.96/2.16 (~ 'E'(s(0), f(suc(X_337))) | 'E'(0, f(suc(X_337))) |
% 1.96/2.16 'E'(f(suc(X_337)), f(suc(suc(X_337)))) | 'LE'(f(X_337), 0) |
% 1.96/2.16 'LE'(f(suc(X_337)), s(0))),
% 1.96/2.16 inference(resolve, [$cnf(iLEQ(suc(suc(X_337)), suc(suc(X_337))))],
% 1.96/2.16 [refute_0_260, refute_0_259])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_262, plain,
% 1.96/2.16 (~ 'E'(s(0), f(suc(X_351))) | 'E'(0, f(suc(X_351))) |
% 1.96/2.16 'E'(f(suc(X_351)), f(suc(suc(X_351)))) | 'LE'(f(X_351), 0) |
% 1.96/2.16 'LE'(f(suc(X_351)), s(0))),
% 1.96/2.16 inference(subst, [], [refute_0_261 : [bind(X_337, $fot(X_351))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_263, plain,
% 1.96/2.16 ('E'(0, f(suc(X_351))) | 'E'(f(suc(X_351)), f(suc(suc(X_351)))) |
% 1.96/2.16 'LE'(f(X_351), 0) | 'LE'(f(suc(X_351)), s(0))),
% 1.96/2.16 inference(resolve, [$cnf('E'(s(0), f(suc(X_351))))],
% 1.96/2.16 [refute_0_256, refute_0_262])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_264, plain,
% 1.96/2.16 ('E'(0, f(suc(X_352))) | 'E'(f(suc(X_352)), f(suc(suc(X_352)))) |
% 1.96/2.16 'LE'(f(X_352), 0) | 'LE'(f(suc(X_352)), s(0))),
% 1.96/2.16 inference(subst, [], [refute_0_263 : [bind(X_351, $fot(X_352))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_265, plain,
% 1.96/2.16 (~ 'E'(s(0), f(suc(X_352))) |
% 1.96/2.16 ~ iLEQ(suc(suc(X_352)), suc(suc(X_352))) | 'E'(0, f(suc(X_352))) |
% 1.96/2.16 'LE'(f(X_352), 0) | 'LE'(f(suc(X_352)), s(0))),
% 1.96/2.16 inference(resolve, [$cnf('E'(f(suc(X_352)), f(suc(suc(X_352)))))],
% 1.96/2.16 [refute_0_264, refute_0_255])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_266, plain,
% 1.96/2.16 (~ 'E'(s(0), f(suc(X_358))) |
% 1.96/2.16 ~ iLEQ(suc(suc(X_358)), suc(suc(X_358))) | 'E'(0, f(suc(X_358))) |
% 1.96/2.16 'LE'(f(X_358), 0) | 'LE'(f(suc(X_358)), s(0))),
% 1.96/2.16 inference(subst, [], [refute_0_265 : [bind(X_352, $fot(X_358))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_267, plain,
% 1.96/2.16 (~ 'E'(s(0), f(suc(X_358))) | 'E'(0, f(suc(X_358))) |
% 1.96/2.16 'LE'(f(X_358), 0) | 'LE'(f(suc(X_358)), s(0))),
% 1.96/2.16 inference(resolve, [$cnf(iLEQ(suc(suc(X_358)), suc(suc(X_358))))],
% 1.96/2.16 [refute_0_249, refute_0_266])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_268, plain,
% 1.96/2.16 (~ 'E'(s(0), f(suc(X_359))) | 'E'(0, f(suc(X_359))) |
% 1.96/2.16 'LE'(f(X_359), 0) | 'LE'(f(suc(X_359)), s(0))),
% 1.96/2.16 inference(subst, [], [refute_0_267 : [bind(X_358, $fot(X_359))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_269, plain,
% 1.96/2.16 ('E'(0, f(suc(X_359))) | 'LE'(f(X_359), 0) |
% 1.96/2.16 'LE'(f(suc(X_359)), s(0))),
% 1.96/2.16 inference(resolve, [$cnf('E'(s(0), f(suc(X_359))))],
% 1.96/2.16 [refute_0_176, refute_0_268])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_270, plain,
% 1.96/2.16 ('E'(0, f(suc(X_360))) | 'LE'(f(X_360), 0) |
% 1.96/2.16 'LE'(f(suc(X_360)), s(0))),
% 1.96/2.16 inference(subst, [], [refute_0_269 : [bind(X_359, $fot(X_360))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_271, plain, ('E'(0, f(suc(X_360))) | 'LE'(f(X_360), 0)),
% 1.96/2.16 inference(resolve, [$cnf('LE'(f(suc(X_360)), s(0)))],
% 1.96/2.16 [refute_0_270, refute_0_0])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_272, plain, ('E'(0, f(suc(z))) | 'LE'(f(z), 0)),
% 1.96/2.16 inference(subst, [], [refute_0_271 : [bind(X_360, $fot(z))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_273, plain,
% 1.96/2.16 (~ 'LE'(f(suc(suc(X_465))), s(0)) | 'E'(0, f(suc(suc(X_465)))) |
% 1.96/2.16 'LE'(f(X_465), 0)),
% 1.96/2.16 inference(subst, [], [clause_2548 : [bind(B_149, $fot(X_465))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_274, plain,
% 1.96/2.16 ('E'(s(0), f(suc(suc(B_149)))) | 'LE'(f(suc(suc(B_149))), s(0))),
% 1.96/2.16 inference(subst, [],
% 1.96/2.16 [refute_0_173 : [bind(X_207, $fot(suc(suc(B_149))))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_275, plain,
% 1.96/2.16 ('E'(0, f(suc(suc(B_149)))) | 'E'(s(0), f(suc(suc(B_149)))) |
% 1.96/2.16 'LE'(f(B_149), 0)),
% 1.96/2.16 inference(resolve, [$cnf('LE'(f(suc(suc(B_149))), s(0)))],
% 1.96/2.16 [refute_0_274, clause_2548])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_276, plain,
% 1.96/2.16 ('E'(0, f(suc(suc(X_464)))) | 'E'(s(0), f(suc(suc(X_464)))) |
% 1.96/2.16 'LE'(f(X_464), 0)),
% 1.96/2.16 inference(subst, [], [refute_0_275 : [bind(B_149, $fot(X_464))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_277, plain,
% 1.96/2.16 ('E'(0, f(suc(suc(X_375)))) | 'E'(s(0), f(suc(suc(X_375)))) |
% 1.96/2.16 'LE'(f(X_375), 0)),
% 1.96/2.16 inference(subst, [], [refute_0_275 : [bind(B_149, $fot(X_375))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_278, plain,
% 1.96/2.16 (~ 'E'(f(suc(suc(X_374))), f(suc(suc(suc(X_374))))) |
% 1.96/2.16 ~ 'E'(s(0), f(suc(suc(X_374)))) | 'LE'(f(suc(suc(X_374))), s(0)) |
% 1.96/2.16 iLEQ(suc(suc(suc(X_374))), suc(suc(suc(X_374))))),
% 1.96/2.16 inference(subst, [],
% 1.96/2.16 [refute_0_238 : [bind(X_290, $fot(suc(suc(X_374))))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_279, plain,
% 1.96/2.16 (~ 'E'(s(0), f(suc(suc(B_149)))) |
% 1.96/2.16 'E'(f(suc(suc(B_149))), f(suc(suc(suc(B_149))))) |
% 1.96/2.16 'LE'(f(suc(suc(B_149))), s(0)) |
% 1.96/2.16 iLEQ(suc(suc(suc(B_149))), suc(suc(suc(B_149))))),
% 1.96/2.16 inference(subst, [],
% 1.96/2.16 [refute_0_242 : [bind(X_261, $fot(suc(suc(B_149))))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_280, plain,
% 1.96/2.16 ('E'(0, f(suc(suc(B_149)))) |
% 1.96/2.16 'E'(f(suc(suc(B_149))), f(suc(suc(suc(B_149))))) | 'LE'(f(B_149), 0) |
% 1.96/2.16 'LE'(f(suc(suc(B_149))), s(0)) |
% 1.96/2.16 iLEQ(suc(suc(suc(B_149))), suc(suc(suc(B_149))))),
% 1.96/2.16 inference(resolve, [$cnf('E'(s(0), f(suc(suc(B_149)))))],
% 1.96/2.16 [refute_0_275, refute_0_279])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_281, plain,
% 1.96/2.16 ('E'(0, f(suc(suc(X_374)))) |
% 1.96/2.16 'E'(f(suc(suc(X_374))), f(suc(suc(suc(X_374))))) | 'LE'(f(X_374), 0) |
% 1.96/2.16 'LE'(f(suc(suc(X_374))), s(0)) |
% 1.96/2.16 iLEQ(suc(suc(suc(X_374))), suc(suc(suc(X_374))))),
% 1.96/2.16 inference(subst, [], [refute_0_280 : [bind(B_149, $fot(X_374))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_282, plain,
% 1.96/2.16 (~ 'E'(s(0), f(suc(suc(X_374)))) | 'E'(0, f(suc(suc(X_374)))) |
% 1.96/2.16 'LE'(f(X_374), 0) | 'LE'(f(suc(suc(X_374))), s(0)) |
% 1.96/2.16 iLEQ(suc(suc(suc(X_374))), suc(suc(suc(X_374))))),
% 1.96/2.16 inference(resolve,
% 1.96/2.16 [$cnf('E'(f(suc(suc(X_374))), f(suc(suc(suc(X_374))))))],
% 1.96/2.16 [refute_0_281, refute_0_278])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_283, plain,
% 1.96/2.16 (~ 'E'(s(0), f(suc(suc(X_375)))) | 'E'(0, f(suc(suc(X_375)))) |
% 1.96/2.16 'LE'(f(X_375), 0) | 'LE'(f(suc(suc(X_375))), s(0)) |
% 1.96/2.16 iLEQ(suc(suc(suc(X_375))), suc(suc(suc(X_375))))),
% 1.96/2.16 inference(subst, [], [refute_0_282 : [bind(X_374, $fot(X_375))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_284, plain,
% 1.96/2.16 ('E'(0, f(suc(suc(X_375)))) | 'LE'(f(X_375), 0) |
% 1.96/2.16 'LE'(f(suc(suc(X_375))), s(0)) |
% 1.96/2.16 iLEQ(suc(suc(suc(X_375))), suc(suc(suc(X_375))))),
% 1.96/2.16 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_375)))))],
% 1.96/2.16 [refute_0_277, refute_0_283])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_285, plain,
% 1.96/2.16 ('E'(0, f(suc(suc(X_463)))) | 'LE'(f(X_463), 0) |
% 1.96/2.16 'LE'(f(suc(suc(X_463))), s(0)) |
% 1.96/2.16 iLEQ(suc(suc(suc(X_463))), suc(suc(suc(X_463))))),
% 1.96/2.16 inference(subst, [], [refute_0_284 : [bind(X_375, $fot(X_463))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_286, plain,
% 1.96/2.16 (~ 'E'(f(suc(suc(X_425))), f(suc(suc(suc(X_425))))) |
% 1.96/2.16 ~ 'E'(s(0), f(suc(suc(X_425)))) |
% 1.96/2.16 ~ iLEQ(suc(suc(suc(X_425))), suc(suc(suc(X_425)))) |
% 1.96/2.16 'LE'(f(suc(suc(X_425))), s(0))),
% 1.96/2.16 inference(subst, [],
% 1.96/2.16 [refute_0_254 : [bind(X_302, $fot(suc(suc(X_425))))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_287, plain,
% 1.96/2.16 ('E'(0, f(suc(suc(X_424)))) | 'E'(s(0), f(suc(suc(X_424)))) |
% 1.96/2.16 'LE'(f(X_424), 0)),
% 1.96/2.16 inference(subst, [], [refute_0_275 : [bind(B_149, $fot(X_424))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_288, plain,
% 1.96/2.16 (~ 'E'(s(0), f(suc(suc(X_376)))) |
% 1.96/2.16 ~ iLEQ(suc(suc(suc(X_376))), suc(suc(suc(X_376)))) |
% 1.96/2.16 'E'(f(suc(suc(X_376))), f(suc(suc(suc(X_376))))) |
% 1.96/2.16 'LE'(f(suc(suc(X_376))), s(0))),
% 1.96/2.16 inference(subst, [],
% 1.96/2.16 [refute_0_258 : [bind(X_261, $fot(suc(suc(X_376))))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_289, plain,
% 1.96/2.16 ('E'(0, f(suc(suc(X_376)))) | 'LE'(f(X_376), 0) |
% 1.96/2.16 'LE'(f(suc(suc(X_376))), s(0)) |
% 1.96/2.16 iLEQ(suc(suc(suc(X_376))), suc(suc(suc(X_376))))),
% 1.96/2.16 inference(subst, [], [refute_0_284 : [bind(X_375, $fot(X_376))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_290, plain,
% 1.96/2.16 (~ 'E'(s(0), f(suc(suc(X_376)))) | 'E'(0, f(suc(suc(X_376)))) |
% 1.96/2.16 'E'(f(suc(suc(X_376))), f(suc(suc(suc(X_376))))) | 'LE'(f(X_376), 0) |
% 1.96/2.16 'LE'(f(suc(suc(X_376))), s(0))),
% 1.96/2.16 inference(resolve,
% 1.96/2.16 [$cnf(iLEQ(suc(suc(suc(X_376))), suc(suc(suc(X_376)))))],
% 1.96/2.16 [refute_0_289, refute_0_288])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_291, plain,
% 1.96/2.16 (~ 'E'(s(0), f(suc(suc(X_424)))) | 'E'(0, f(suc(suc(X_424)))) |
% 1.96/2.16 'E'(f(suc(suc(X_424))), f(suc(suc(suc(X_424))))) | 'LE'(f(X_424), 0) |
% 1.96/2.16 'LE'(f(suc(suc(X_424))), s(0))),
% 1.96/2.16 inference(subst, [], [refute_0_290 : [bind(X_376, $fot(X_424))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_292, plain,
% 1.96/2.16 ('E'(0, f(suc(suc(X_424)))) |
% 1.96/2.16 'E'(f(suc(suc(X_424))), f(suc(suc(suc(X_424))))) | 'LE'(f(X_424), 0) |
% 1.96/2.16 'LE'(f(suc(suc(X_424))), s(0))),
% 1.96/2.16 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_424)))))],
% 1.96/2.16 [refute_0_287, refute_0_291])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_293, plain,
% 1.96/2.16 ('E'(0, f(suc(suc(X_425)))) |
% 1.96/2.16 'E'(f(suc(suc(X_425))), f(suc(suc(suc(X_425))))) | 'LE'(f(X_425), 0) |
% 1.96/2.16 'LE'(f(suc(suc(X_425))), s(0))),
% 1.96/2.16 inference(subst, [], [refute_0_292 : [bind(X_424, $fot(X_425))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_294, plain,
% 1.96/2.16 (~ 'E'(s(0), f(suc(suc(X_425)))) |
% 1.96/2.16 ~ iLEQ(suc(suc(suc(X_425))), suc(suc(suc(X_425)))) |
% 1.96/2.16 'E'(0, f(suc(suc(X_425)))) | 'LE'(f(X_425), 0) |
% 1.96/2.16 'LE'(f(suc(suc(X_425))), s(0))),
% 1.96/2.16 inference(resolve,
% 1.96/2.16 [$cnf('E'(f(suc(suc(X_425))), f(suc(suc(suc(X_425))))))],
% 1.96/2.16 [refute_0_293, refute_0_286])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_295, plain,
% 1.96/2.16 (~ 'E'(s(0), f(suc(suc(X_463)))) |
% 1.96/2.16 ~ iLEQ(suc(suc(suc(X_463))), suc(suc(suc(X_463)))) |
% 1.96/2.16 'E'(0, f(suc(suc(X_463)))) | 'LE'(f(X_463), 0) |
% 1.96/2.16 'LE'(f(suc(suc(X_463))), s(0))),
% 1.96/2.16 inference(subst, [], [refute_0_294 : [bind(X_425, $fot(X_463))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_296, plain,
% 1.96/2.16 (~ 'E'(s(0), f(suc(suc(X_463)))) | 'E'(0, f(suc(suc(X_463)))) |
% 1.96/2.16 'LE'(f(X_463), 0) | 'LE'(f(suc(suc(X_463))), s(0))),
% 1.96/2.16 inference(resolve,
% 1.96/2.16 [$cnf(iLEQ(suc(suc(suc(X_463))), suc(suc(suc(X_463)))))],
% 1.96/2.16 [refute_0_285, refute_0_295])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_297, plain,
% 1.96/2.16 (~ 'E'(s(0), f(suc(suc(X_464)))) | 'E'(0, f(suc(suc(X_464)))) |
% 1.96/2.16 'LE'(f(X_464), 0) | 'LE'(f(suc(suc(X_464))), s(0))),
% 1.96/2.16 inference(subst, [], [refute_0_296 : [bind(X_463, $fot(X_464))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_298, plain,
% 1.96/2.16 ('E'(0, f(suc(suc(X_464)))) | 'LE'(f(X_464), 0) |
% 1.96/2.16 'LE'(f(suc(suc(X_464))), s(0))),
% 1.96/2.16 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_464)))))],
% 1.96/2.16 [refute_0_276, refute_0_297])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_299, plain,
% 1.96/2.16 ('E'(0, f(suc(suc(X_465)))) | 'LE'(f(X_465), 0) |
% 1.96/2.16 'LE'(f(suc(suc(X_465))), s(0))),
% 1.96/2.16 inference(subst, [], [refute_0_298 : [bind(X_464, $fot(X_465))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_300, plain, ('E'(0, f(suc(suc(X_465)))) | 'LE'(f(X_465), 0)),
% 1.96/2.16 inference(resolve, [$cnf('LE'(f(suc(suc(X_465))), s(0)))],
% 1.96/2.16 [refute_0_299, refute_0_273])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_301, plain, ('E'(0, f(suc(suc(z)))) | 'LE'(f(z), 0)),
% 1.96/2.16 inference(subst, [], [refute_0_300 : [bind(X_465, $fot(z))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_302, plain,
% 1.96/2.16 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 1.96/2.16 ~ 'E'(f(z), f(suc(z))) | ~ iLEQ(suc(z), suc(z))),
% 1.96/2.16 inference(subst, [],
% 1.96/2.16 [clause_2749 :
% 1.96/2.16 [bind(A_4, $fot(z)), bind(B_150, $fot(z)),
% 1.96/2.16 bind(B_151, $fot(z)), bind(B_152, $fot(z))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_303, plain,
% 1.96/2.16 (~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) | ~ iLEQ(suc(z), suc(z)) |
% 1.96/2.16 'E'(f(z), f(suc(z)))),
% 1.96/2.16 inference(subst, [],
% 1.96/2.16 [clause_2160 :
% 1.96/2.16 [bind(A_4, $fot(z)), bind(B_150, $fot(z)),
% 1.96/2.16 bind(B_151, $fot(z)), bind(B_152, $fot(z))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_304, plain,
% 1.96/2.16 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 1.96/2.16 ~ 'E'(f(z), f(suc(z))) | iLEQ(suc(z), suc(z))),
% 1.96/2.16 inference(subst, [], [clause_2217 : [bind(A_4, $fot(z))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_305, plain,
% 1.96/2.16 (~ 'LE'(f(X_324), s(0)) | 'E'(0, f(X_324)) | 'LE'(f(X_324), 0)),
% 1.96/2.16 inference(subst, [], [clause_165 : [bind(B_149, $fot(X_324))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_306, plain,
% 1.96/2.16 (~ 'LE'(f(X_208), s(0)) | 'E'(0, f(X_208)) | 'LE'(f(X_208), 0)),
% 1.96/2.16 inference(subst, [], [clause_165 : [bind(B_149, $fot(X_208))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_307, plain, ('E'(s(0), f(X_208)) | 'LE'(f(X_208), s(0))),
% 1.96/2.16 inference(subst, [], [refute_0_173 : [bind(X_207, $fot(X_208))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_308, plain,
% 1.96/2.16 ('E'(0, f(X_208)) | 'E'(s(0), f(X_208)) | 'LE'(f(X_208), 0)),
% 1.96/2.16 inference(resolve, [$cnf('LE'(f(X_208), s(0)))],
% 1.96/2.16 [refute_0_307, refute_0_306])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_309, plain,
% 1.96/2.16 ('E'(0, f(X_323)) | 'E'(s(0), f(X_323)) | 'LE'(f(X_323), 0)),
% 1.96/2.16 inference(subst, [], [refute_0_308 : [bind(X_208, $fot(X_323))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_310, plain,
% 1.96/2.16 ('E'(0, f(X_300)) | 'E'(s(0), f(X_300)) | 'LE'(f(X_300), 0)),
% 1.96/2.16 inference(subst, [], [refute_0_308 : [bind(X_208, $fot(X_300))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_311, plain,
% 1.96/2.16 ('E'(0, f(X_263)) | 'E'(s(0), f(X_263)) | 'LE'(f(X_263), 0)),
% 1.96/2.16 inference(subst, [], [refute_0_308 : [bind(X_208, $fot(X_263))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_312, plain,
% 1.96/2.16 (~ 'E'(s(0), f(X_263)) | 'E'(f(X_263), f(suc(X_263))) |
% 1.96/2.16 'LE'(f(X_263), s(0)) | iLEQ(suc(X_263), suc(X_263))),
% 1.96/2.16 inference(subst, [], [refute_0_242 : [bind(X_261, $fot(X_263))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_313, plain,
% 1.96/2.16 ('E'(0, f(X_263)) | 'E'(f(X_263), f(suc(X_263))) | 'LE'(f(X_263), 0) |
% 1.96/2.16 'LE'(f(X_263), s(0)) | iLEQ(suc(X_263), suc(X_263))),
% 1.96/2.16 inference(resolve, [$cnf('E'(s(0), f(X_263)))],
% 1.96/2.16 [refute_0_311, refute_0_312])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_314, plain,
% 1.96/2.16 ('E'(0, f(X_291)) | 'E'(f(X_291), f(suc(X_291))) | 'LE'(f(X_291), 0) |
% 1.96/2.16 'LE'(f(X_291), s(0)) | iLEQ(suc(X_291), suc(X_291))),
% 1.96/2.16 inference(subst, [], [refute_0_313 : [bind(X_263, $fot(X_291))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_315, plain,
% 1.96/2.16 (~ 'E'(f(X_291), f(suc(X_291))) | ~ 'E'(s(0), f(X_291)) |
% 1.96/2.16 'LE'(f(X_291), s(0)) | iLEQ(suc(X_291), suc(X_291))),
% 1.96/2.16 inference(subst, [], [refute_0_238 : [bind(X_290, $fot(X_291))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_316, plain,
% 1.96/2.16 (~ 'E'(s(0), f(X_291)) | 'E'(0, f(X_291)) | 'LE'(f(X_291), 0) |
% 1.96/2.16 'LE'(f(X_291), s(0)) | iLEQ(suc(X_291), suc(X_291))),
% 1.96/2.16 inference(resolve, [$cnf('E'(f(X_291), f(suc(X_291))))],
% 1.96/2.16 [refute_0_314, refute_0_315])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_317, plain,
% 1.96/2.16 (~ 'E'(s(0), f(X_300)) | 'E'(0, f(X_300)) | 'LE'(f(X_300), 0) |
% 1.96/2.16 'LE'(f(X_300), s(0)) | iLEQ(suc(X_300), suc(X_300))),
% 1.96/2.16 inference(subst, [], [refute_0_316 : [bind(X_291, $fot(X_300))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_318, plain,
% 1.96/2.16 ('E'(0, f(X_300)) | 'LE'(f(X_300), 0) | 'LE'(f(X_300), s(0)) |
% 1.96/2.16 iLEQ(suc(X_300), suc(X_300))),
% 1.96/2.16 inference(resolve, [$cnf('E'(s(0), f(X_300)))],
% 1.96/2.16 [refute_0_310, refute_0_317])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_319, plain,
% 1.96/2.16 ('E'(0, f(X_322)) | 'LE'(f(X_322), 0) | 'LE'(f(X_322), s(0)) |
% 1.96/2.16 iLEQ(suc(X_322), suc(X_322))),
% 1.96/2.16 inference(subst, [], [refute_0_318 : [bind(X_300, $fot(X_322))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_320, plain,
% 1.96/2.16 (~ 'E'(f(X_315), f(suc(X_315))) | ~ 'E'(s(0), f(X_315)) |
% 1.96/2.16 ~ iLEQ(suc(X_315), suc(X_315)) | 'LE'(f(X_315), s(0))),
% 1.96/2.16 inference(subst, [], [refute_0_254 : [bind(X_302, $fot(X_315))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_321, plain,
% 1.96/2.16 ('E'(0, f(X_314)) | 'E'(s(0), f(X_314)) | 'LE'(f(X_314), 0)),
% 1.96/2.16 inference(subst, [], [refute_0_308 : [bind(X_208, $fot(X_314))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_322, plain,
% 1.96/2.16 (~ 'E'(s(0), f(X_301)) | ~ iLEQ(suc(X_301), suc(X_301)) |
% 1.96/2.16 'E'(f(X_301), f(suc(X_301))) | 'LE'(f(X_301), s(0))),
% 1.96/2.16 inference(subst, [], [refute_0_258 : [bind(X_261, $fot(X_301))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_323, plain,
% 1.96/2.16 ('E'(0, f(X_301)) | 'LE'(f(X_301), 0) | 'LE'(f(X_301), s(0)) |
% 1.96/2.16 iLEQ(suc(X_301), suc(X_301))),
% 1.96/2.16 inference(subst, [], [refute_0_318 : [bind(X_300, $fot(X_301))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_324, plain,
% 1.96/2.16 (~ 'E'(s(0), f(X_301)) | 'E'(0, f(X_301)) |
% 1.96/2.16 'E'(f(X_301), f(suc(X_301))) | 'LE'(f(X_301), 0) |
% 1.96/2.16 'LE'(f(X_301), s(0))),
% 1.96/2.16 inference(resolve, [$cnf(iLEQ(suc(X_301), suc(X_301)))],
% 1.96/2.16 [refute_0_323, refute_0_322])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_325, plain,
% 1.96/2.16 (~ 'E'(s(0), f(X_314)) | 'E'(0, f(X_314)) |
% 1.96/2.16 'E'(f(X_314), f(suc(X_314))) | 'LE'(f(X_314), 0) |
% 1.96/2.16 'LE'(f(X_314), s(0))),
% 1.96/2.16 inference(subst, [], [refute_0_324 : [bind(X_301, $fot(X_314))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_326, plain,
% 1.96/2.16 ('E'(0, f(X_314)) | 'E'(f(X_314), f(suc(X_314))) | 'LE'(f(X_314), 0) |
% 1.96/2.16 'LE'(f(X_314), s(0))),
% 1.96/2.16 inference(resolve, [$cnf('E'(s(0), f(X_314)))],
% 1.96/2.16 [refute_0_321, refute_0_325])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_327, plain,
% 1.96/2.16 ('E'(0, f(X_315)) | 'E'(f(X_315), f(suc(X_315))) | 'LE'(f(X_315), 0) |
% 1.96/2.16 'LE'(f(X_315), s(0))),
% 1.96/2.16 inference(subst, [], [refute_0_326 : [bind(X_314, $fot(X_315))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_328, plain,
% 1.96/2.16 (~ 'E'(s(0), f(X_315)) | ~ iLEQ(suc(X_315), suc(X_315)) |
% 1.96/2.16 'E'(0, f(X_315)) | 'LE'(f(X_315), 0) | 'LE'(f(X_315), s(0))),
% 1.96/2.16 inference(resolve, [$cnf('E'(f(X_315), f(suc(X_315))))],
% 1.96/2.16 [refute_0_327, refute_0_320])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_329, plain,
% 1.96/2.16 (~ 'E'(s(0), f(X_322)) | ~ iLEQ(suc(X_322), suc(X_322)) |
% 1.96/2.16 'E'(0, f(X_322)) | 'LE'(f(X_322), 0) | 'LE'(f(X_322), s(0))),
% 1.96/2.16 inference(subst, [], [refute_0_328 : [bind(X_315, $fot(X_322))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_330, plain,
% 1.96/2.16 (~ 'E'(s(0), f(X_322)) | 'E'(0, f(X_322)) | 'LE'(f(X_322), 0) |
% 1.96/2.16 'LE'(f(X_322), s(0))),
% 1.96/2.16 inference(resolve, [$cnf(iLEQ(suc(X_322), suc(X_322)))],
% 1.96/2.16 [refute_0_319, refute_0_329])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_331, plain,
% 1.96/2.16 (~ 'E'(s(0), f(X_323)) | 'E'(0, f(X_323)) | 'LE'(f(X_323), 0) |
% 1.96/2.16 'LE'(f(X_323), s(0))),
% 1.96/2.16 inference(subst, [], [refute_0_330 : [bind(X_322, $fot(X_323))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_332, plain,
% 1.96/2.16 ('E'(0, f(X_323)) | 'LE'(f(X_323), 0) | 'LE'(f(X_323), s(0))),
% 1.96/2.16 inference(resolve, [$cnf('E'(s(0), f(X_323)))],
% 1.96/2.16 [refute_0_309, refute_0_331])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_333, plain,
% 1.96/2.16 ('E'(0, f(X_324)) | 'LE'(f(X_324), 0) | 'LE'(f(X_324), s(0))),
% 1.96/2.16 inference(subst, [], [refute_0_332 : [bind(X_323, $fot(X_324))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_334, plain, ('E'(0, f(X_324)) | 'LE'(f(X_324), 0)),
% 1.96/2.16 inference(resolve, [$cnf('LE'(f(X_324), s(0)))],
% 1.96/2.16 [refute_0_333, refute_0_305])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_335, plain, ('E'(0, f(z)) | 'LE'(f(z), 0)),
% 1.96/2.16 inference(subst, [], [refute_0_334 : [bind(X_324, $fot(z))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_336, plain, ('E'(0, f(z))),
% 1.96/2.16 inference(resolve, [$cnf('LE'(f(z), 0))],
% 1.96/2.16 [refute_0_335, clause_1450])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_337, plain,
% 1.96/2.16 (~ 'E'(0, f(X_361)) | ~ 'E'(0, f(suc(X_361))) |
% 1.96/2.16 'E'(f(X_361), f(suc(X_361))) | iLEQ(suc(X_361), suc(X_361))),
% 1.96/2.16 inference(subst, [], [clause_2902 : [bind(A_4, $fot(X_361))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_338, plain, ('E'(0, f(suc(X_361))) | 'LE'(f(X_361), 0)),
% 1.96/2.16 inference(subst, [], [refute_0_271 : [bind(X_360, $fot(X_361))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_339, plain,
% 1.96/2.16 (~ 'E'(0, f(X_361)) | 'E'(f(X_361), f(suc(X_361))) |
% 1.96/2.16 'LE'(f(X_361), 0) | iLEQ(suc(X_361), suc(X_361))),
% 1.96/2.16 inference(resolve, [$cnf('E'(0, f(suc(X_361))))],
% 1.96/2.16 [refute_0_338, refute_0_337])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_340, plain,
% 1.96/2.16 (~ 'E'(0, f(z)) | 'E'(f(z), f(suc(z))) | 'LE'(f(z), 0) |
% 1.96/2.16 iLEQ(suc(z), suc(z))),
% 1.96/2.16 inference(subst, [], [refute_0_339 : [bind(X_361, $fot(z))]])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_341, plain,
% 1.96/2.16 ('E'(f(z), f(suc(z))) | 'LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 1.96/2.16 inference(resolve, [$cnf('E'(0, f(z)))],
% 1.96/2.16 [refute_0_336, refute_0_340])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_342, plain, ('E'(f(z), f(suc(z))) | iLEQ(suc(z), suc(z))),
% 1.96/2.16 inference(resolve, [$cnf('LE'(f(z), 0))],
% 1.96/2.16 [refute_0_341, clause_1450])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_343, plain,
% 1.96/2.16 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 1.96/2.16 iLEQ(suc(z), suc(z))),
% 1.96/2.16 inference(resolve, [$cnf('E'(f(z), f(suc(z))))],
% 1.96/2.16 [refute_0_342, refute_0_304])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_344, plain,
% 1.96/2.16 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) |
% 1.96/2.16 iLEQ(suc(z), suc(z))),
% 1.96/2.16 inference(resolve, [$cnf('E'(0, f(z)))],
% 1.96/2.16 [refute_0_336, refute_0_343])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_345, plain,
% 1.96/2.16 (~ 'E'(0, f(suc(z))) | 'LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 1.96/2.16 inference(resolve, [$cnf('E'(0, f(suc(suc(z)))))],
% 1.96/2.16 [refute_0_301, refute_0_344])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_346, plain, (~ 'E'(0, f(suc(z))) | iLEQ(suc(z), suc(z))),
% 1.96/2.16 inference(resolve, [$cnf('LE'(f(z), 0))],
% 1.96/2.16 [refute_0_345, clause_1450])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_347, plain, ('LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 1.96/2.16 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 1.96/2.16 [refute_0_272, refute_0_346])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_348, plain, (iLEQ(suc(z), suc(z))),
% 1.96/2.16 inference(resolve, [$cnf('LE'(f(z), 0))],
% 1.96/2.16 [refute_0_347, clause_1450])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_349, plain,
% 1.96/2.16 (~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) | 'E'(f(z), f(suc(z)))),
% 1.96/2.16 inference(resolve, [$cnf(iLEQ(suc(z), suc(z)))],
% 1.96/2.16 [refute_0_348, refute_0_303])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_350, plain, (~ 'E'(0, f(suc(z))) | 'E'(f(z), f(suc(z)))),
% 1.96/2.16 inference(resolve, [$cnf('E'(0, f(z)))],
% 1.96/2.16 [refute_0_336, refute_0_349])).
% 1.96/2.16
% 1.96/2.16 cnf(refute_0_351, plain, ('E'(f(z), f(suc(z))) | 'LE'(f(z), 0)),
% 1.96/2.16 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 1.96/2.17 [refute_0_272, refute_0_350])).
% 1.96/2.17
% 1.96/2.17 cnf(refute_0_352, plain, ('E'(f(z), f(suc(z)))),
% 1.96/2.17 inference(resolve, [$cnf('LE'(f(z), 0))],
% 1.96/2.17 [refute_0_351, clause_1450])).
% 1.96/2.17
% 1.96/2.17 cnf(refute_0_353, plain,
% 1.96/2.17 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 1.96/2.17 ~ iLEQ(suc(z), suc(z))),
% 1.96/2.17 inference(resolve, [$cnf('E'(f(z), f(suc(z))))],
% 1.96/2.17 [refute_0_352, refute_0_302])).
% 1.96/2.17
% 1.96/2.17 cnf(refute_0_354, plain,
% 1.96/2.17 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) |
% 1.96/2.17 ~ iLEQ(suc(z), suc(z))),
% 1.96/2.17 inference(resolve, [$cnf('E'(0, f(z)))],
% 1.96/2.17 [refute_0_336, refute_0_353])).
% 1.96/2.17
% 1.96/2.17 cnf(refute_0_355, plain, (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z)))),
% 1.96/2.17 inference(resolve, [$cnf(iLEQ(suc(z), suc(z)))],
% 1.96/2.17 [refute_0_348, refute_0_354])).
% 1.96/2.17
% 1.96/2.17 cnf(refute_0_356, plain, (~ 'E'(0, f(suc(z))) | 'LE'(f(z), 0)),
% 1.96/2.17 inference(resolve, [$cnf('E'(0, f(suc(suc(z)))))],
% 1.96/2.17 [refute_0_301, refute_0_355])).
% 1.96/2.17
% 1.96/2.17 cnf(refute_0_357, plain, (~ 'E'(0, f(suc(z)))),
% 1.96/2.17 inference(resolve, [$cnf('LE'(f(z), 0))],
% 1.96/2.17 [refute_0_356, clause_1450])).
% 1.96/2.17
% 1.96/2.17 cnf(refute_0_358, plain, ('LE'(f(z), 0)),
% 1.96/2.17 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 1.96/2.17 [refute_0_272, refute_0_357])).
% 1.96/2.17
% 1.96/2.17 cnf(refute_0_359, plain, ($false),
% 1.96/2.17 inference(resolve, [$cnf('LE'(f(z), 0))],
% 1.96/2.17 [refute_0_358, clause_1450])).
% 1.96/2.17 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.96/2.17
%------------------------------------------------------------------------------