TSTP Solution File: SYO658-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYO658-1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 18:40:43 EDT 2022
% Result : Unsatisfiable 1.93s 2.08s
% Output : CNFRefutation 1.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO658-1 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jul 9 09:52:14 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.93/2.08 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.93/2.08
% 1.93/2.08 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.93/2.08 cnf(clause_167, axiom,
% 1.93/2.08 (~ 'E'(0, f(suc(A_2))) | ~ 'E'(0, f(suc(suc(B_6)))) |
% 1.93/2.08 ~ 'E'(0, f(suc(suc(A_2)))) | ~ 'E'(f(A_2), f(suc(suc(A_2)))) |
% 1.93/2.08 ~ 'E'(0, f(A_2)) | ~ iLEQ(suc(A_2), suc(B_6)) |
% 1.93/2.08 ~ 'E'(0, f(suc(suc(suc(B_6))))) | ~ 'E'(0, f(suc(suc(suc(A_2))))) |
% 1.93/2.08 ~ 'E'(0, f(B_6)) | ~ 'E'(f(B_6), f(suc(suc(B_6)))) |
% 1.93/2.08 ~ 'E'(f(A_2), f(suc(A_2))) | ~ 'E'(f(B_6), f(suc(B_6))) |
% 1.93/2.08 ~ 'E'(0, f(suc(B_6))))).
% 1.93/2.08
% 1.93/2.08 cnf(clause_75, axiom,
% 1.93/2.08 (~ 'LE'(f(suc(suc(suc(B_2)))), s(s(0))) |
% 1.93/2.08 'E'(s(0), f(suc(suc(suc(B_2))))) | 'LE'(f(B_2), s(0)))).
% 1.93/2.08
% 1.93/2.08 cnf(clause_104, axiom,
% 1.93/2.08 (~ 'LE'(f(suc(B_2)), s(s(0))) | 'E'(s(0), f(suc(B_2))) |
% 1.93/2.08 'LE'(f(B_2), s(0)))).
% 1.93/2.08
% 1.93/2.08 cnf(clause_81, axiom,
% 1.93/2.08 (~ 'E'(s(0), f(A_1)) | ~ 'E'(s(0), f(suc(A_1))) |
% 1.93/2.08 'E'(f(A_1), f(suc(A_1))) | iLEQ(suc(A_1), suc(A_1)))).
% 1.93/2.08
% 1.93/2.08 cnf(clause_141, axiom,
% 1.93/2.08 (~ 'LE'(f(suc(suc(B_5))), s(0)) | 'E'(0, f(suc(suc(B_5)))) |
% 1.93/2.08 'LE'(f(B_5), 0))).
% 1.93/2.08
% 1.93/2.08 cnf(clause_87, axiom, (~ 'LE'(f(z), 0))).
% 1.93/2.08
% 1.93/2.08 cnf(clause_78, axiom,
% 1.93/2.08 (~ 'E'(0, f(suc(A_2))) | ~ 'E'(0, f(suc(suc(B_6)))) |
% 1.93/2.08 ~ 'E'(0, f(suc(suc(A_2)))) | ~ 'E'(0, f(A_2)) |
% 1.93/2.08 ~ iLEQ(suc(A_2), suc(B_6)) | ~ 'E'(0, f(B_6)) |
% 1.93/2.08 ~ 'E'(f(A_2), f(suc(A_2))) | ~ 'E'(f(B_6), f(suc(B_6))) |
% 1.93/2.08 ~ 'E'(0, f(suc(B_6))) | 'E'(f(A_2), f(suc(suc(A_2)))) |
% 1.93/2.08 'E'(f(B_6), f(suc(suc(B_6)))))).
% 1.93/2.08
% 1.93/2.08 cnf(clause_4, axiom,
% 1.93/2.08 (~ 'E'(0, f(suc(suc(A_2)))) | ~ 'E'(0, f(suc(A_2))) |
% 1.93/2.08 ~ 'E'(f(A_2), f(suc(A_2))) | ~ 'E'(0, f(A_2)) |
% 1.93/2.08 'E'(f(A_2), f(suc(suc(A_2)))) | iLEQ(suc(A_2), suc(A_2)))).
% 1.93/2.08
% 1.93/2.08 cnf(clause_72, axiom, ('LE'(f(A), s(s(0))))).
% 1.93/2.08
% 1.93/2.08 cnf(clause_142, axiom,
% 1.93/2.08 (~ iLEQ(suc(A_1), suc(B_3)) | ~ 'E'(s(0), f(A_1)) |
% 1.93/2.08 ~ 'E'(s(0), f(suc(A_1))) | ~ 'E'(s(0), f(suc(B_3))) |
% 1.93/2.08 ~ 'E'(s(0), f(B_3)) | 'E'(f(A_1), f(suc(A_1))) |
% 1.93/2.08 'E'(f(B_3), f(suc(B_3))))).
% 1.93/2.08
% 1.93/2.08 cnf(clause_140, axiom,
% 1.93/2.08 (~ iLEQ(suc(A_1), suc(B_3)) | ~ 'E'(s(0), f(suc(suc(A_1)))) |
% 1.93/2.08 ~ 'E'(s(0), f(A_1)) | ~ 'E'(s(0), f(suc(suc(B_3)))) |
% 1.93/2.08 ~ 'E'(s(0), f(suc(A_1))) | ~ 'E'(s(0), f(suc(suc(suc(B_3))))) |
% 1.93/2.08 ~ 'E'(s(0), f(suc(B_3))) | ~ 'E'(s(0), f(B_3)) |
% 1.93/2.08 ~ 'E'(f(A_1), f(suc(suc(A_1)))) | ~ 'E'(f(B_3), f(suc(B_3))) |
% 1.93/2.08 ~ 'E'(f(A_1), f(suc(A_1))) | ~ 'E'(s(0), f(suc(suc(suc(A_1))))) |
% 1.93/2.08 ~ 'E'(f(B_3), f(suc(suc(B_3)))))).
% 1.93/2.08
% 1.93/2.08 cnf(clause_41, axiom,
% 1.93/2.08 (~ iLEQ(suc(A_1), suc(B_3)) | ~ 'E'(s(0), f(suc(suc(A_1)))) |
% 1.93/2.08 ~ 'E'(s(0), f(A_1)) | ~ 'E'(s(0), f(suc(suc(B_3)))) |
% 1.93/2.08 ~ 'E'(s(0), f(suc(A_1))) | ~ 'E'(s(0), f(suc(B_3))) |
% 1.93/2.08 ~ 'E'(s(0), f(B_3)) | ~ 'E'(f(B_3), f(suc(B_3))) |
% 1.93/2.08 ~ 'E'(f(A_1), f(suc(A_1))) | 'E'(f(A_1), f(suc(suc(A_1)))) |
% 1.93/2.08 'E'(f(B_3), f(suc(suc(B_3)))))).
% 1.93/2.08
% 1.93/2.08 cnf(clause_139, axiom,
% 1.93/2.08 (~ 'E'(0, f(suc(A_2))) | ~ 'E'(0, f(suc(suc(A_2)))) |
% 1.93/2.08 ~ 'E'(f(A_2), f(suc(suc(A_2)))) | ~ 'E'(0, f(A_2)) |
% 1.93/2.08 ~ 'E'(0, f(suc(suc(suc(A_2))))) | ~ 'E'(f(A_2), f(suc(A_2))) |
% 1.93/2.08 iLEQ(suc(A_2), suc(A_2)))).
% 1.93/2.08
% 1.93/2.08 cnf(clause_51, axiom,
% 1.93/2.08 (~ 'LE'(f(B_2), s(s(0))) | 'E'(s(0), f(B_2)) | 'LE'(f(B_2), s(0)))).
% 1.93/2.08
% 1.93/2.08 cnf(clause_151, axiom,
% 1.93/2.08 (~ 'LE'(f(suc(suc(suc(B_5)))), s(0)) | 'E'(0, f(suc(suc(suc(B_5))))) |
% 1.93/2.08 'LE'(f(B_5), 0))).
% 1.93/2.08
% 1.93/2.08 cnf(clause_16, axiom,
% 1.93/2.08 (~ 'E'(s(0), f(suc(suc(A_1)))) | ~ 'E'(s(0), f(suc(A_1))) |
% 1.93/2.08 ~ 'E'(f(A_1), f(suc(A_1))) | ~ 'E'(s(0), f(A_1)) |
% 1.93/2.08 'E'(f(A_1), f(suc(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))).
% 1.93/2.08
% 1.93/2.08 cnf(clause_109, axiom,
% 1.93/2.08 (~ 'LE'(f(B_5), s(0)) | 'E'(0, f(B_5)) | 'LE'(f(B_5), 0))).
% 1.93/2.08
% 1.93/2.08 cnf(clause_129, axiom,
% 1.93/2.08 (~ 'LE'(f(suc(suc(B_2))), s(s(0))) | 'E'(s(0), f(suc(suc(B_2)))) |
% 1.93/2.08 'LE'(f(B_2), s(0)))).
% 1.93/2.08
% 1.93/2.08 cnf(clause_55, axiom,
% 1.93/2.08 (~ 'E'(0, f(suc(A_2))) | ~ 'E'(0, f(A_2)) |
% 1.93/2.08 ~ iLEQ(suc(A_2), suc(B_6)) | ~ 'E'(0, f(B_6)) |
% 1.93/2.08 ~ 'E'(0, f(suc(B_6))) | 'E'(f(A_2), f(suc(A_2))) |
% 1.93/2.08 'E'(f(B_6), f(suc(B_6))))).
% 1.93/2.08
% 1.93/2.08 cnf(clause_122, axiom,
% 1.93/2.08 (~ 'LE'(f(suc(B_5)), s(0)) | 'E'(0, f(suc(B_5))) | 'LE'(f(B_5), 0))).
% 1.93/2.08
% 1.93/2.08 cnf(clause_93, axiom,
% 1.93/2.08 (~ 'E'(0, f(A_2)) | ~ 'E'(0, f(suc(A_2))) | 'E'(f(A_2), f(suc(A_2))) |
% 1.93/2.08 iLEQ(suc(A_2), suc(A_2)))).
% 1.93/2.08
% 1.93/2.08 cnf(clause_134, axiom,
% 1.93/2.08 (~ 'E'(s(0), f(suc(suc(A_1)))) | ~ 'E'(s(0), f(A_1)) |
% 1.93/2.08 ~ 'E'(s(0), f(suc(A_1))) | ~ 'E'(f(A_1), f(suc(suc(A_1)))) |
% 1.93/2.08 ~ 'E'(f(A_1), f(suc(A_1))) | ~ 'E'(s(0), f(suc(suc(suc(A_1))))) |
% 1.93/2.08 iLEQ(suc(A_1), suc(A_1)))).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_0, plain,
% 1.93/2.09 (~ 'LE'(f(suc(X_246)), s(0)) | 'E'(0, f(suc(X_246))) |
% 1.93/2.09 'LE'(f(X_246), 0)),
% 1.93/2.09 inference(subst, [], [clause_122 : [bind(B_5, $fot(X_246))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_1, plain, ('LE'(f(B_2), s(s(0)))),
% 1.93/2.09 inference(subst, [], [clause_72 : [bind(A, $fot(B_2))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_2, plain, ('E'(s(0), f(B_2)) | 'LE'(f(B_2), s(0))),
% 1.93/2.09 inference(resolve, [$cnf('LE'(f(B_2), s(s(0))))],
% 1.93/2.09 [refute_0_1, clause_51])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_3, plain, ('E'(s(0), f(suc(X_7))) | 'LE'(f(suc(X_7)), s(0))),
% 1.93/2.09 inference(subst, [], [refute_0_2 : [bind(B_2, $fot(suc(X_7)))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_4, plain,
% 1.93/2.09 (~ 'LE'(f(suc(X_7)), s(0)) | 'E'(0, f(suc(X_7))) | 'LE'(f(X_7), 0)),
% 1.93/2.09 inference(subst, [], [clause_122 : [bind(B_5, $fot(X_7))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_5, plain,
% 1.93/2.09 ('E'(0, f(suc(X_7))) | 'E'(s(0), f(suc(X_7))) | 'LE'(f(X_7), 0)),
% 1.93/2.09 inference(resolve, [$cnf('LE'(f(suc(X_7)), s(0)))],
% 1.93/2.09 [refute_0_3, refute_0_4])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_6, plain,
% 1.93/2.09 ('E'(0, f(suc(X_245))) | 'E'(s(0), f(suc(X_245))) | 'LE'(f(X_245), 0)),
% 1.93/2.09 inference(subst, [], [refute_0_5 : [bind(X_7, $fot(X_245))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_7, plain, ('LE'(f(suc(B_2)), s(s(0)))),
% 1.93/2.09 inference(subst, [], [clause_72 : [bind(A, $fot(suc(B_2)))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_8, plain, ('E'(s(0), f(suc(B_2))) | 'LE'(f(B_2), s(0))),
% 1.93/2.09 inference(resolve, [$cnf('LE'(f(suc(B_2)), s(s(0))))],
% 1.93/2.09 [refute_0_7, clause_104])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_9, plain,
% 1.93/2.09 ('E'(s(0), f(suc(suc(X_244)))) | 'LE'(f(suc(X_244)), s(0))),
% 1.93/2.09 inference(subst, [], [refute_0_8 : [bind(B_2, $fot(suc(X_244)))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_10, plain,
% 1.93/2.09 ('E'(0, f(suc(X_172))) | 'E'(s(0), f(suc(X_172))) | 'LE'(f(X_172), 0)),
% 1.93/2.09 inference(subst, [], [refute_0_5 : [bind(X_7, $fot(X_172))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_11, plain,
% 1.93/2.09 ('E'(s(0), f(suc(suc(X_171)))) | 'LE'(f(suc(X_171)), s(0))),
% 1.93/2.09 inference(subst, [], [refute_0_8 : [bind(B_2, $fot(suc(X_171)))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_12, plain, ('E'(s(0), f(suc(X_14))) | 'LE'(f(X_14), s(0))),
% 1.93/2.09 inference(subst, [], [refute_0_8 : [bind(B_2, $fot(X_14))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_13, plain,
% 1.93/2.09 (~ 'E'(s(0), f(X_14)) | ~ 'E'(s(0), f(suc(X_14))) |
% 1.93/2.09 'E'(f(X_14), f(suc(X_14))) | iLEQ(suc(X_14), suc(X_14))),
% 1.93/2.09 inference(subst, [], [clause_81 : [bind(A_1, $fot(X_14))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_14, plain,
% 1.93/2.09 (~ 'E'(s(0), f(X_14)) | 'E'(f(X_14), f(suc(X_14))) |
% 1.93/2.09 'LE'(f(X_14), s(0)) | iLEQ(suc(X_14), suc(X_14))),
% 1.93/2.09 inference(resolve, [$cnf('E'(s(0), f(suc(X_14))))],
% 1.93/2.09 [refute_0_12, refute_0_13])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_15, plain,
% 1.93/2.09 (~ 'E'(s(0), f(suc(X_7))) | 'E'(f(suc(X_7)), f(suc(suc(X_7)))) |
% 1.93/2.09 'LE'(f(suc(X_7)), s(0)) | iLEQ(suc(suc(X_7)), suc(suc(X_7)))),
% 1.93/2.09 inference(subst, [], [refute_0_14 : [bind(X_14, $fot(suc(X_7)))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_16, plain,
% 1.93/2.09 ('E'(0, f(suc(X_7))) | 'E'(f(suc(X_7)), f(suc(suc(X_7)))) |
% 1.93/2.09 'LE'(f(X_7), 0) | 'LE'(f(suc(X_7)), s(0)) |
% 1.93/2.09 iLEQ(suc(suc(X_7)), suc(suc(X_7)))),
% 1.93/2.09 inference(resolve, [$cnf('E'(s(0), f(suc(X_7))))],
% 1.93/2.09 [refute_0_5, refute_0_15])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_17, plain,
% 1.93/2.09 ('E'(0, f(suc(X_170))) | 'E'(f(suc(X_170)), f(suc(suc(X_170)))) |
% 1.93/2.09 'LE'(f(X_170), 0) | 'LE'(f(suc(X_170)), s(0)) |
% 1.93/2.09 iLEQ(suc(suc(X_170)), suc(suc(X_170)))),
% 1.93/2.09 inference(subst, [], [refute_0_16 : [bind(X_7, $fot(X_170))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_18, plain, ('LE'(f(suc(suc(B_2))), s(s(0)))),
% 1.93/2.09 inference(subst, [], [clause_72 : [bind(A, $fot(suc(suc(B_2))))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_19, plain, ('E'(s(0), f(suc(suc(B_2)))) | 'LE'(f(B_2), s(0))),
% 1.93/2.09 inference(resolve, [$cnf('LE'(f(suc(suc(B_2))), s(s(0))))],
% 1.93/2.09 [refute_0_18, clause_129])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_20, plain,
% 1.93/2.09 ('E'(s(0), f(suc(suc(X_81)))) | 'LE'(f(X_81), s(0))),
% 1.93/2.09 inference(subst, [], [refute_0_19 : [bind(B_2, $fot(X_81))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_21, plain, ('LE'(f(suc(suc(suc(B_2)))), s(s(0)))),
% 1.93/2.09 inference(subst, [],
% 1.93/2.09 [clause_72 : [bind(A, $fot(suc(suc(suc(B_2)))))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_22, plain,
% 1.93/2.09 ('E'(s(0), f(suc(suc(suc(B_2))))) | 'LE'(f(B_2), s(0))),
% 1.93/2.09 inference(resolve, [$cnf('LE'(f(suc(suc(suc(B_2)))), s(s(0))))],
% 1.93/2.09 [refute_0_21, clause_75])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_23, plain,
% 1.93/2.09 ('E'(s(0), f(suc(suc(suc(X_47))))) | 'LE'(f(X_47), s(0))),
% 1.93/2.09 inference(subst, [], [refute_0_22 : [bind(B_2, $fot(X_47))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_24, plain,
% 1.93/2.09 (~ 'E'(f(X_47), f(suc(X_47))) | ~ 'E'(f(X_47), f(suc(suc(X_47)))) |
% 1.93/2.09 ~ 'E'(s(0), f(X_47)) | ~ 'E'(s(0), f(suc(X_47))) |
% 1.93/2.09 ~ 'E'(s(0), f(suc(suc(X_47)))) | ~ 'E'(s(0), f(suc(suc(suc(X_47))))) |
% 1.93/2.09 iLEQ(suc(X_47), suc(X_47))),
% 1.93/2.09 inference(subst, [], [clause_134 : [bind(A_1, $fot(X_47))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_25, plain,
% 1.93/2.09 (~ 'E'(f(X_47), f(suc(X_47))) | ~ 'E'(f(X_47), f(suc(suc(X_47)))) |
% 1.93/2.09 ~ 'E'(s(0), f(X_47)) | ~ 'E'(s(0), f(suc(X_47))) |
% 1.93/2.09 ~ 'E'(s(0), f(suc(suc(X_47)))) | 'LE'(f(X_47), s(0)) |
% 1.93/2.09 iLEQ(suc(X_47), suc(X_47))),
% 1.93/2.09 inference(resolve, [$cnf('E'(s(0), f(suc(suc(suc(X_47))))))],
% 1.93/2.09 [refute_0_23, refute_0_24])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_26, plain,
% 1.93/2.09 (~ 'E'(f(X_81), f(suc(X_81))) | ~ 'E'(f(X_81), f(suc(suc(X_81)))) |
% 1.93/2.09 ~ 'E'(s(0), f(X_81)) | ~ 'E'(s(0), f(suc(X_81))) |
% 1.93/2.09 ~ 'E'(s(0), f(suc(suc(X_81)))) | 'LE'(f(X_81), s(0)) |
% 1.93/2.09 iLEQ(suc(X_81), suc(X_81))),
% 1.93/2.09 inference(subst, [], [refute_0_25 : [bind(X_47, $fot(X_81))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_27, plain,
% 1.93/2.09 (~ 'E'(f(X_81), f(suc(X_81))) | ~ 'E'(f(X_81), f(suc(suc(X_81)))) |
% 1.93/2.09 ~ 'E'(s(0), f(X_81)) | ~ 'E'(s(0), f(suc(X_81))) |
% 1.93/2.09 'LE'(f(X_81), s(0)) | iLEQ(suc(X_81), suc(X_81))),
% 1.93/2.09 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_81)))))],
% 1.93/2.09 [refute_0_20, refute_0_26])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_28, plain,
% 1.93/2.09 (~ 'E'(f(suc(X_98)), f(suc(suc(X_98)))) |
% 1.93/2.09 ~ 'E'(f(suc(X_98)), f(suc(suc(suc(X_98))))) |
% 1.93/2.09 ~ 'E'(s(0), f(suc(X_98))) | ~ 'E'(s(0), f(suc(suc(X_98)))) |
% 1.93/2.09 'LE'(f(suc(X_98)), s(0)) | iLEQ(suc(suc(X_98)), suc(suc(X_98)))),
% 1.93/2.09 inference(subst, [], [refute_0_27 : [bind(X_81, $fot(suc(X_98)))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_29, plain,
% 1.93/2.09 ('E'(0, f(suc(X_97))) | 'E'(s(0), f(suc(X_97))) | 'LE'(f(X_97), 0)),
% 1.93/2.09 inference(subst, [], [refute_0_5 : [bind(X_7, $fot(X_97))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_30, plain, ('E'(s(0), f(suc(X_38))) | 'LE'(f(X_38), s(0))),
% 1.93/2.09 inference(subst, [], [refute_0_8 : [bind(B_2, $fot(X_38))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_31, plain,
% 1.93/2.09 ('E'(s(0), f(suc(suc(X_28)))) | 'LE'(f(X_28), s(0))),
% 1.93/2.09 inference(subst, [], [refute_0_19 : [bind(B_2, $fot(X_28))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_32, plain,
% 1.93/2.09 (~ 'E'(f(X_28), f(suc(X_28))) | ~ 'E'(s(0), f(X_28)) |
% 1.93/2.09 ~ 'E'(s(0), f(suc(X_28))) | ~ 'E'(s(0), f(suc(suc(X_28)))) |
% 1.93/2.09 'E'(f(X_28), f(suc(suc(X_28)))) | iLEQ(suc(X_28), suc(X_28))),
% 1.93/2.09 inference(subst, [], [clause_16 : [bind(A_1, $fot(X_28))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_33, plain,
% 1.93/2.09 (~ 'E'(f(X_28), f(suc(X_28))) | ~ 'E'(s(0), f(X_28)) |
% 1.93/2.09 ~ 'E'(s(0), f(suc(X_28))) | 'E'(f(X_28), f(suc(suc(X_28)))) |
% 1.93/2.09 'LE'(f(X_28), s(0)) | iLEQ(suc(X_28), suc(X_28))),
% 1.93/2.09 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_28)))))],
% 1.93/2.09 [refute_0_31, refute_0_32])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_34, plain,
% 1.93/2.09 (~ 'E'(f(X_38), f(suc(X_38))) | ~ 'E'(s(0), f(X_38)) |
% 1.93/2.09 ~ 'E'(s(0), f(suc(X_38))) | 'E'(f(X_38), f(suc(suc(X_38)))) |
% 1.93/2.09 'LE'(f(X_38), s(0)) | iLEQ(suc(X_38), suc(X_38))),
% 1.93/2.09 inference(subst, [], [refute_0_33 : [bind(X_28, $fot(X_38))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_35, plain,
% 1.93/2.09 (~ 'E'(f(X_38), f(suc(X_38))) | ~ 'E'(s(0), f(X_38)) |
% 1.93/2.09 'E'(f(X_38), f(suc(suc(X_38)))) | 'LE'(f(X_38), s(0)) |
% 1.93/2.09 iLEQ(suc(X_38), suc(X_38))),
% 1.93/2.09 inference(resolve, [$cnf('E'(s(0), f(suc(X_38))))],
% 1.93/2.09 [refute_0_30, refute_0_34])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_36, plain,
% 1.93/2.09 (~ 'E'(f(suc(X_45)), f(suc(suc(X_45)))) | ~ 'E'(s(0), f(suc(X_45))) |
% 1.93/2.09 'E'(f(suc(X_45)), f(suc(suc(suc(X_45))))) | 'LE'(f(suc(X_45)), s(0)) |
% 1.93/2.09 iLEQ(suc(suc(X_45)), suc(suc(X_45)))),
% 1.93/2.09 inference(subst, [], [refute_0_35 : [bind(X_38, $fot(suc(X_45)))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_37, plain,
% 1.93/2.09 ('E'(0, f(suc(X_45))) | 'E'(f(suc(X_45)), f(suc(suc(X_45)))) |
% 1.93/2.09 'LE'(f(X_45), 0) | 'LE'(f(suc(X_45)), s(0)) |
% 1.93/2.09 iLEQ(suc(suc(X_45)), suc(suc(X_45)))),
% 1.93/2.09 inference(subst, [], [refute_0_16 : [bind(X_7, $fot(X_45))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_38, plain,
% 1.93/2.09 (~ 'E'(s(0), f(suc(X_45))) | 'E'(0, f(suc(X_45))) |
% 1.93/2.09 'E'(f(suc(X_45)), f(suc(suc(suc(X_45))))) | 'LE'(f(X_45), 0) |
% 1.93/2.09 'LE'(f(suc(X_45)), s(0)) | iLEQ(suc(suc(X_45)), suc(suc(X_45)))),
% 1.93/2.09 inference(resolve, [$cnf('E'(f(suc(X_45)), f(suc(suc(X_45)))))],
% 1.93/2.09 [refute_0_37, refute_0_36])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_39, plain,
% 1.93/2.09 (~ 'E'(s(0), f(suc(X_97))) | 'E'(0, f(suc(X_97))) |
% 1.93/2.09 'E'(f(suc(X_97)), f(suc(suc(suc(X_97))))) | 'LE'(f(X_97), 0) |
% 1.93/2.09 'LE'(f(suc(X_97)), s(0)) | iLEQ(suc(suc(X_97)), suc(suc(X_97)))),
% 1.93/2.09 inference(subst, [], [refute_0_38 : [bind(X_45, $fot(X_97))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_40, plain,
% 1.93/2.09 ('E'(0, f(suc(X_97))) | 'E'(f(suc(X_97)), f(suc(suc(suc(X_97))))) |
% 1.93/2.09 'LE'(f(X_97), 0) | 'LE'(f(suc(X_97)), s(0)) |
% 1.93/2.09 iLEQ(suc(suc(X_97)), suc(suc(X_97)))),
% 1.93/2.09 inference(resolve, [$cnf('E'(s(0), f(suc(X_97))))],
% 1.93/2.09 [refute_0_29, refute_0_39])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_41, plain,
% 1.93/2.09 ('E'(0, f(suc(X_98))) | 'E'(f(suc(X_98)), f(suc(suc(suc(X_98))))) |
% 1.93/2.09 'LE'(f(X_98), 0) | 'LE'(f(suc(X_98)), s(0)) |
% 1.93/2.09 iLEQ(suc(suc(X_98)), suc(suc(X_98)))),
% 1.93/2.09 inference(subst, [], [refute_0_40 : [bind(X_97, $fot(X_98))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_42, plain,
% 1.93/2.09 (~ 'E'(f(suc(X_98)), f(suc(suc(X_98)))) | ~ 'E'(s(0), f(suc(X_98))) |
% 1.93/2.09 ~ 'E'(s(0), f(suc(suc(X_98)))) | 'E'(0, f(suc(X_98))) |
% 1.93/2.09 'LE'(f(X_98), 0) | 'LE'(f(suc(X_98)), s(0)) |
% 1.93/2.09 iLEQ(suc(suc(X_98)), suc(suc(X_98)))),
% 1.93/2.09 inference(resolve, [$cnf('E'(f(suc(X_98)), f(suc(suc(suc(X_98))))))],
% 1.93/2.09 [refute_0_41, refute_0_28])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_43, plain,
% 1.93/2.09 (~ 'E'(f(suc(X_170)), f(suc(suc(X_170)))) |
% 1.93/2.09 ~ 'E'(s(0), f(suc(X_170))) | ~ 'E'(s(0), f(suc(suc(X_170)))) |
% 1.93/2.09 'E'(0, f(suc(X_170))) | 'LE'(f(X_170), 0) |
% 1.93/2.09 'LE'(f(suc(X_170)), s(0)) | iLEQ(suc(suc(X_170)), suc(suc(X_170)))),
% 1.93/2.09 inference(subst, [], [refute_0_42 : [bind(X_98, $fot(X_170))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_44, plain,
% 1.93/2.09 (~ 'E'(s(0), f(suc(X_170))) | ~ 'E'(s(0), f(suc(suc(X_170)))) |
% 1.93/2.09 'E'(0, f(suc(X_170))) | 'LE'(f(X_170), 0) |
% 1.93/2.09 'LE'(f(suc(X_170)), s(0)) | iLEQ(suc(suc(X_170)), suc(suc(X_170)))),
% 1.93/2.09 inference(resolve, [$cnf('E'(f(suc(X_170)), f(suc(suc(X_170)))))],
% 1.93/2.09 [refute_0_17, refute_0_43])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_45, plain,
% 1.93/2.09 (~ 'E'(s(0), f(suc(X_171))) | ~ 'E'(s(0), f(suc(suc(X_171)))) |
% 1.93/2.09 'E'(0, f(suc(X_171))) | 'LE'(f(X_171), 0) |
% 1.93/2.09 'LE'(f(suc(X_171)), s(0)) | iLEQ(suc(suc(X_171)), suc(suc(X_171)))),
% 1.93/2.09 inference(subst, [], [refute_0_44 : [bind(X_170, $fot(X_171))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_46, plain,
% 1.93/2.09 (~ 'E'(s(0), f(suc(X_171))) | 'E'(0, f(suc(X_171))) |
% 1.93/2.09 'LE'(f(X_171), 0) | 'LE'(f(suc(X_171)), s(0)) |
% 1.93/2.09 iLEQ(suc(suc(X_171)), suc(suc(X_171)))),
% 1.93/2.09 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_171)))))],
% 1.93/2.09 [refute_0_11, refute_0_45])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_47, plain,
% 1.93/2.09 (~ 'E'(s(0), f(suc(X_172))) | 'E'(0, f(suc(X_172))) |
% 1.93/2.09 'LE'(f(X_172), 0) | 'LE'(f(suc(X_172)), s(0)) |
% 1.93/2.09 iLEQ(suc(suc(X_172)), suc(suc(X_172)))),
% 1.93/2.09 inference(subst, [], [refute_0_46 : [bind(X_171, $fot(X_172))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_48, plain,
% 1.93/2.09 ('E'(0, f(suc(X_172))) | 'LE'(f(X_172), 0) |
% 1.93/2.09 'LE'(f(suc(X_172)), s(0)) | iLEQ(suc(suc(X_172)), suc(suc(X_172)))),
% 1.93/2.09 inference(resolve, [$cnf('E'(s(0), f(suc(X_172))))],
% 1.93/2.09 [refute_0_10, refute_0_47])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_49, plain,
% 1.93/2.09 ('E'(0, f(suc(X_243))) | 'LE'(f(X_243), 0) |
% 1.93/2.09 'LE'(f(suc(X_243)), s(0)) | iLEQ(suc(suc(X_243)), suc(suc(X_243)))),
% 1.93/2.09 inference(subst, [], [refute_0_48 : [bind(X_172, $fot(X_243))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_50, plain,
% 1.93/2.09 ('E'(0, f(suc(X_174))) | 'E'(s(0), f(suc(X_174))) | 'LE'(f(X_174), 0)),
% 1.93/2.09 inference(subst, [], [refute_0_5 : [bind(X_7, $fot(X_174))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_51, plain, ('E'(s(0), f(suc(X_15))) | 'LE'(f(X_15), s(0))),
% 1.93/2.09 inference(subst, [], [refute_0_8 : [bind(B_2, $fot(X_15))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_52, plain,
% 1.93/2.09 (~ 'E'(s(0), f(X_15)) | ~ 'E'(s(0), f(suc(X_15))) |
% 1.93/2.09 ~ iLEQ(suc(X_15), suc(X_15)) | 'E'(f(X_15), f(suc(X_15)))),
% 1.93/2.09 inference(subst, [],
% 1.93/2.09 [clause_142 :
% 1.93/2.09 [bind(A_1, $fot(X_15)), bind(B_3, $fot(X_15))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_53, plain,
% 1.93/2.09 (~ 'E'(s(0), f(X_15)) | ~ iLEQ(suc(X_15), suc(X_15)) |
% 1.93/2.09 'E'(f(X_15), f(suc(X_15))) | 'LE'(f(X_15), s(0))),
% 1.93/2.09 inference(resolve, [$cnf('E'(s(0), f(suc(X_15))))],
% 1.93/2.09 [refute_0_51, refute_0_52])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_54, plain,
% 1.93/2.09 (~ 'E'(s(0), f(suc(X_173))) |
% 1.93/2.09 ~ iLEQ(suc(suc(X_173)), suc(suc(X_173))) |
% 1.93/2.09 'E'(f(suc(X_173)), f(suc(suc(X_173)))) | 'LE'(f(suc(X_173)), s(0))),
% 1.93/2.09 inference(subst, [], [refute_0_53 : [bind(X_15, $fot(suc(X_173)))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_55, plain,
% 1.93/2.09 ('E'(0, f(suc(X_173))) | 'LE'(f(X_173), 0) |
% 1.93/2.09 'LE'(f(suc(X_173)), s(0)) | iLEQ(suc(suc(X_173)), suc(suc(X_173)))),
% 1.93/2.09 inference(subst, [], [refute_0_48 : [bind(X_172, $fot(X_173))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_56, plain,
% 1.93/2.09 (~ 'E'(s(0), f(suc(X_173))) | 'E'(0, f(suc(X_173))) |
% 1.93/2.09 'E'(f(suc(X_173)), f(suc(suc(X_173)))) | 'LE'(f(X_173), 0) |
% 1.93/2.09 'LE'(f(suc(X_173)), s(0))),
% 1.93/2.09 inference(resolve, [$cnf(iLEQ(suc(suc(X_173)), suc(suc(X_173))))],
% 1.93/2.09 [refute_0_55, refute_0_54])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_57, plain,
% 1.93/2.09 (~ 'E'(s(0), f(suc(X_174))) | 'E'(0, f(suc(X_174))) |
% 1.93/2.09 'E'(f(suc(X_174)), f(suc(suc(X_174)))) | 'LE'(f(X_174), 0) |
% 1.93/2.09 'LE'(f(suc(X_174)), s(0))),
% 1.93/2.09 inference(subst, [], [refute_0_56 : [bind(X_173, $fot(X_174))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_58, plain,
% 1.93/2.09 ('E'(0, f(suc(X_174))) | 'E'(f(suc(X_174)), f(suc(suc(X_174)))) |
% 1.93/2.09 'LE'(f(X_174), 0) | 'LE'(f(suc(X_174)), s(0))),
% 1.93/2.09 inference(resolve, [$cnf('E'(s(0), f(suc(X_174))))],
% 1.93/2.09 [refute_0_50, refute_0_57])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_59, plain,
% 1.93/2.09 ('E'(0, f(suc(X_242))) | 'E'(f(suc(X_242)), f(suc(suc(X_242)))) |
% 1.93/2.09 'LE'(f(X_242), 0) | 'LE'(f(suc(X_242)), s(0))),
% 1.93/2.09 inference(subst, [], [refute_0_58 : [bind(X_174, $fot(X_242))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_60, plain,
% 1.93/2.09 ('E'(s(0), f(suc(suc(X_83)))) | 'LE'(f(X_83), s(0))),
% 1.93/2.09 inference(subst, [], [refute_0_19 : [bind(B_2, $fot(X_83))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_61, plain,
% 1.93/2.09 ('E'(s(0), f(suc(suc(suc(X_48))))) | 'LE'(f(X_48), s(0))),
% 1.93/2.09 inference(subst, [], [refute_0_22 : [bind(B_2, $fot(X_48))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_62, plain,
% 1.93/2.09 (~ 'E'(f(X_48), f(suc(X_48))) | ~ 'E'(f(X_48), f(suc(suc(X_48)))) |
% 1.93/2.09 ~ 'E'(s(0), f(X_48)) | ~ 'E'(s(0), f(suc(X_48))) |
% 1.93/2.09 ~ 'E'(s(0), f(suc(suc(X_48)))) | ~ 'E'(s(0), f(suc(suc(suc(X_48))))) |
% 1.93/2.09 ~ iLEQ(suc(X_48), suc(X_48))),
% 1.93/2.09 inference(subst, [],
% 1.93/2.09 [clause_140 :
% 1.93/2.09 [bind(A_1, $fot(X_48)), bind(B_3, $fot(X_48))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_63, plain,
% 1.93/2.09 (~ 'E'(f(X_48), f(suc(X_48))) | ~ 'E'(f(X_48), f(suc(suc(X_48)))) |
% 1.93/2.09 ~ 'E'(s(0), f(X_48)) | ~ 'E'(s(0), f(suc(X_48))) |
% 1.93/2.09 ~ 'E'(s(0), f(suc(suc(X_48)))) | ~ iLEQ(suc(X_48), suc(X_48)) |
% 1.93/2.09 'LE'(f(X_48), s(0))),
% 1.93/2.09 inference(resolve, [$cnf('E'(s(0), f(suc(suc(suc(X_48))))))],
% 1.93/2.09 [refute_0_61, refute_0_62])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_64, plain,
% 1.93/2.09 (~ 'E'(f(X_83), f(suc(X_83))) | ~ 'E'(f(X_83), f(suc(suc(X_83)))) |
% 1.93/2.09 ~ 'E'(s(0), f(X_83)) | ~ 'E'(s(0), f(suc(X_83))) |
% 1.93/2.09 ~ 'E'(s(0), f(suc(suc(X_83)))) | ~ iLEQ(suc(X_83), suc(X_83)) |
% 1.93/2.09 'LE'(f(X_83), s(0))),
% 1.93/2.09 inference(subst, [], [refute_0_63 : [bind(X_48, $fot(X_83))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_65, plain,
% 1.93/2.09 (~ 'E'(f(X_83), f(suc(X_83))) | ~ 'E'(f(X_83), f(suc(suc(X_83)))) |
% 1.93/2.09 ~ 'E'(s(0), f(X_83)) | ~ 'E'(s(0), f(suc(X_83))) |
% 1.93/2.09 ~ iLEQ(suc(X_83), suc(X_83)) | 'LE'(f(X_83), s(0))),
% 1.93/2.09 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_83)))))],
% 1.93/2.09 [refute_0_60, refute_0_64])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_66, plain,
% 1.93/2.09 (~ 'E'(f(suc(X_178)), f(suc(suc(X_178)))) |
% 1.93/2.09 ~ 'E'(f(suc(X_178)), f(suc(suc(suc(X_178))))) |
% 1.93/2.09 ~ 'E'(s(0), f(suc(X_178))) | ~ 'E'(s(0), f(suc(suc(X_178)))) |
% 1.93/2.09 ~ iLEQ(suc(suc(X_178)), suc(suc(X_178))) | 'LE'(f(suc(X_178)), s(0))),
% 1.93/2.09 inference(subst, [], [refute_0_65 : [bind(X_83, $fot(suc(X_178)))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_67, plain,
% 1.93/2.09 ('E'(0, f(suc(X_177))) | 'E'(s(0), f(suc(X_177))) | 'LE'(f(X_177), 0)),
% 1.93/2.09 inference(subst, [], [refute_0_5 : [bind(X_7, $fot(X_177))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_68, plain,
% 1.93/2.09 ('E'(0, f(suc(X_176))) | 'LE'(f(X_176), 0) |
% 1.93/2.09 'LE'(f(suc(X_176)), s(0)) | iLEQ(suc(suc(X_176)), suc(suc(X_176)))),
% 1.93/2.09 inference(subst, [], [refute_0_48 : [bind(X_172, $fot(X_176))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_69, plain, ('E'(s(0), f(suc(X_40))) | 'LE'(f(X_40), s(0))),
% 1.93/2.09 inference(subst, [], [refute_0_8 : [bind(B_2, $fot(X_40))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_70, plain,
% 1.93/2.09 ('E'(s(0), f(suc(suc(X_30)))) | 'LE'(f(X_30), s(0))),
% 1.93/2.09 inference(subst, [], [refute_0_19 : [bind(B_2, $fot(X_30))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_71, plain,
% 1.93/2.09 (~ 'E'(f(X_30), f(suc(X_30))) | ~ 'E'(s(0), f(X_30)) |
% 1.93/2.09 ~ 'E'(s(0), f(suc(X_30))) | ~ 'E'(s(0), f(suc(suc(X_30)))) |
% 1.93/2.09 ~ iLEQ(suc(X_30), suc(X_30)) | 'E'(f(X_30), f(suc(suc(X_30))))),
% 1.93/2.09 inference(subst, [],
% 1.93/2.09 [clause_41 :
% 1.93/2.09 [bind(A_1, $fot(X_30)), bind(B_3, $fot(X_30))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_72, plain,
% 1.93/2.09 (~ 'E'(f(X_30), f(suc(X_30))) | ~ 'E'(s(0), f(X_30)) |
% 1.93/2.09 ~ 'E'(s(0), f(suc(X_30))) | ~ iLEQ(suc(X_30), suc(X_30)) |
% 1.93/2.09 'E'(f(X_30), f(suc(suc(X_30)))) | 'LE'(f(X_30), s(0))),
% 1.93/2.09 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_30)))))],
% 1.93/2.09 [refute_0_70, refute_0_71])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_73, plain,
% 1.93/2.09 (~ 'E'(f(X_40), f(suc(X_40))) | ~ 'E'(s(0), f(X_40)) |
% 1.93/2.09 ~ 'E'(s(0), f(suc(X_40))) | ~ iLEQ(suc(X_40), suc(X_40)) |
% 1.93/2.09 'E'(f(X_40), f(suc(suc(X_40)))) | 'LE'(f(X_40), s(0))),
% 1.93/2.09 inference(subst, [], [refute_0_72 : [bind(X_30, $fot(X_40))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_74, plain,
% 1.93/2.09 (~ 'E'(f(X_40), f(suc(X_40))) | ~ 'E'(s(0), f(X_40)) |
% 1.93/2.09 ~ iLEQ(suc(X_40), suc(X_40)) | 'E'(f(X_40), f(suc(suc(X_40)))) |
% 1.93/2.09 'LE'(f(X_40), s(0))),
% 1.93/2.09 inference(resolve, [$cnf('E'(s(0), f(suc(X_40))))],
% 1.93/2.09 [refute_0_69, refute_0_73])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_75, plain,
% 1.93/2.09 (~ 'E'(f(suc(X_175)), f(suc(suc(X_175)))) |
% 1.93/2.09 ~ 'E'(s(0), f(suc(X_175))) |
% 1.93/2.09 ~ iLEQ(suc(suc(X_175)), suc(suc(X_175))) |
% 1.93/2.09 'E'(f(suc(X_175)), f(suc(suc(suc(X_175))))) |
% 1.93/2.09 'LE'(f(suc(X_175)), s(0))),
% 1.93/2.09 inference(subst, [], [refute_0_74 : [bind(X_40, $fot(suc(X_175)))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_76, plain,
% 1.93/2.09 ('E'(0, f(suc(X_175))) | 'E'(f(suc(X_175)), f(suc(suc(X_175)))) |
% 1.93/2.09 'LE'(f(X_175), 0) | 'LE'(f(suc(X_175)), s(0))),
% 1.93/2.09 inference(subst, [], [refute_0_58 : [bind(X_174, $fot(X_175))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_77, plain,
% 1.93/2.09 (~ 'E'(s(0), f(suc(X_175))) |
% 1.93/2.09 ~ iLEQ(suc(suc(X_175)), suc(suc(X_175))) | 'E'(0, f(suc(X_175))) |
% 1.93/2.09 'E'(f(suc(X_175)), f(suc(suc(suc(X_175))))) | 'LE'(f(X_175), 0) |
% 1.93/2.09 'LE'(f(suc(X_175)), s(0))),
% 1.93/2.09 inference(resolve, [$cnf('E'(f(suc(X_175)), f(suc(suc(X_175)))))],
% 1.93/2.09 [refute_0_76, refute_0_75])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_78, plain,
% 1.93/2.09 (~ 'E'(s(0), f(suc(X_176))) |
% 1.93/2.09 ~ iLEQ(suc(suc(X_176)), suc(suc(X_176))) | 'E'(0, f(suc(X_176))) |
% 1.93/2.09 'E'(f(suc(X_176)), f(suc(suc(suc(X_176))))) | 'LE'(f(X_176), 0) |
% 1.93/2.09 'LE'(f(suc(X_176)), s(0))),
% 1.93/2.09 inference(subst, [], [refute_0_77 : [bind(X_175, $fot(X_176))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_79, plain,
% 1.93/2.09 (~ 'E'(s(0), f(suc(X_176))) | 'E'(0, f(suc(X_176))) |
% 1.93/2.09 'E'(f(suc(X_176)), f(suc(suc(suc(X_176))))) | 'LE'(f(X_176), 0) |
% 1.93/2.09 'LE'(f(suc(X_176)), s(0))),
% 1.93/2.09 inference(resolve, [$cnf(iLEQ(suc(suc(X_176)), suc(suc(X_176))))],
% 1.93/2.09 [refute_0_68, refute_0_78])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_80, plain,
% 1.93/2.09 (~ 'E'(s(0), f(suc(X_177))) | 'E'(0, f(suc(X_177))) |
% 1.93/2.09 'E'(f(suc(X_177)), f(suc(suc(suc(X_177))))) | 'LE'(f(X_177), 0) |
% 1.93/2.09 'LE'(f(suc(X_177)), s(0))),
% 1.93/2.09 inference(subst, [], [refute_0_79 : [bind(X_176, $fot(X_177))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_81, plain,
% 1.93/2.09 ('E'(0, f(suc(X_177))) | 'E'(f(suc(X_177)), f(suc(suc(suc(X_177))))) |
% 1.93/2.09 'LE'(f(X_177), 0) | 'LE'(f(suc(X_177)), s(0))),
% 1.93/2.09 inference(resolve, [$cnf('E'(s(0), f(suc(X_177))))],
% 1.93/2.09 [refute_0_67, refute_0_80])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_82, plain,
% 1.93/2.09 ('E'(0, f(suc(X_178))) | 'E'(f(suc(X_178)), f(suc(suc(suc(X_178))))) |
% 1.93/2.09 'LE'(f(X_178), 0) | 'LE'(f(suc(X_178)), s(0))),
% 1.93/2.09 inference(subst, [], [refute_0_81 : [bind(X_177, $fot(X_178))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_83, plain,
% 1.93/2.09 (~ 'E'(f(suc(X_178)), f(suc(suc(X_178)))) |
% 1.93/2.09 ~ 'E'(s(0), f(suc(X_178))) | ~ 'E'(s(0), f(suc(suc(X_178)))) |
% 1.93/2.09 ~ iLEQ(suc(suc(X_178)), suc(suc(X_178))) | 'E'(0, f(suc(X_178))) |
% 1.93/2.09 'LE'(f(X_178), 0) | 'LE'(f(suc(X_178)), s(0))),
% 1.93/2.09 inference(resolve, [$cnf('E'(f(suc(X_178)), f(suc(suc(suc(X_178))))))],
% 1.93/2.09 [refute_0_82, refute_0_66])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_84, plain,
% 1.93/2.09 (~ 'E'(f(suc(X_242)), f(suc(suc(X_242)))) |
% 1.93/2.09 ~ 'E'(s(0), f(suc(X_242))) | ~ 'E'(s(0), f(suc(suc(X_242)))) |
% 1.93/2.09 ~ iLEQ(suc(suc(X_242)), suc(suc(X_242))) | 'E'(0, f(suc(X_242))) |
% 1.93/2.09 'LE'(f(X_242), 0) | 'LE'(f(suc(X_242)), s(0))),
% 1.93/2.09 inference(subst, [], [refute_0_83 : [bind(X_178, $fot(X_242))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_85, plain,
% 1.93/2.09 (~ 'E'(s(0), f(suc(X_242))) | ~ 'E'(s(0), f(suc(suc(X_242)))) |
% 1.93/2.09 ~ iLEQ(suc(suc(X_242)), suc(suc(X_242))) | 'E'(0, f(suc(X_242))) |
% 1.93/2.09 'LE'(f(X_242), 0) | 'LE'(f(suc(X_242)), s(0))),
% 1.93/2.09 inference(resolve, [$cnf('E'(f(suc(X_242)), f(suc(suc(X_242)))))],
% 1.93/2.09 [refute_0_59, refute_0_84])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_86, plain,
% 1.93/2.09 (~ 'E'(s(0), f(suc(X_243))) | ~ 'E'(s(0), f(suc(suc(X_243)))) |
% 1.93/2.09 ~ iLEQ(suc(suc(X_243)), suc(suc(X_243))) | 'E'(0, f(suc(X_243))) |
% 1.93/2.09 'LE'(f(X_243), 0) | 'LE'(f(suc(X_243)), s(0))),
% 1.93/2.09 inference(subst, [], [refute_0_85 : [bind(X_242, $fot(X_243))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_87, plain,
% 1.93/2.09 (~ 'E'(s(0), f(suc(X_243))) | ~ 'E'(s(0), f(suc(suc(X_243)))) |
% 1.93/2.09 'E'(0, f(suc(X_243))) | 'LE'(f(X_243), 0) |
% 1.93/2.09 'LE'(f(suc(X_243)), s(0))),
% 1.93/2.09 inference(resolve, [$cnf(iLEQ(suc(suc(X_243)), suc(suc(X_243))))],
% 1.93/2.09 [refute_0_49, refute_0_86])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_88, plain,
% 1.93/2.09 (~ 'E'(s(0), f(suc(X_244))) | ~ 'E'(s(0), f(suc(suc(X_244)))) |
% 1.93/2.09 'E'(0, f(suc(X_244))) | 'LE'(f(X_244), 0) |
% 1.93/2.09 'LE'(f(suc(X_244)), s(0))),
% 1.93/2.09 inference(subst, [], [refute_0_87 : [bind(X_243, $fot(X_244))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_89, plain,
% 1.93/2.09 (~ 'E'(s(0), f(suc(X_244))) | 'E'(0, f(suc(X_244))) |
% 1.93/2.09 'LE'(f(X_244), 0) | 'LE'(f(suc(X_244)), s(0))),
% 1.93/2.09 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_244)))))],
% 1.93/2.09 [refute_0_9, refute_0_88])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_90, plain,
% 1.93/2.09 (~ 'E'(s(0), f(suc(X_245))) | 'E'(0, f(suc(X_245))) |
% 1.93/2.09 'LE'(f(X_245), 0) | 'LE'(f(suc(X_245)), s(0))),
% 1.93/2.09 inference(subst, [], [refute_0_89 : [bind(X_244, $fot(X_245))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_91, plain,
% 1.93/2.09 ('E'(0, f(suc(X_245))) | 'LE'(f(X_245), 0) |
% 1.93/2.09 'LE'(f(suc(X_245)), s(0))),
% 1.93/2.09 inference(resolve, [$cnf('E'(s(0), f(suc(X_245))))],
% 1.93/2.09 [refute_0_6, refute_0_90])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_92, plain,
% 1.93/2.09 ('E'(0, f(suc(X_246))) | 'LE'(f(X_246), 0) |
% 1.93/2.09 'LE'(f(suc(X_246)), s(0))),
% 1.93/2.09 inference(subst, [], [refute_0_91 : [bind(X_245, $fot(X_246))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_93, plain, ('E'(0, f(suc(X_246))) | 'LE'(f(X_246), 0)),
% 1.93/2.09 inference(resolve, [$cnf('LE'(f(suc(X_246)), s(0)))],
% 1.93/2.09 [refute_0_92, refute_0_0])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_94, plain, ('E'(0, f(suc(z))) | 'LE'(f(z), 0)),
% 1.93/2.09 inference(subst, [], [refute_0_93 : [bind(X_246, $fot(z))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_95, plain,
% 1.93/2.09 (~ 'LE'(f(suc(suc(X_361))), s(0)) | 'E'(0, f(suc(suc(X_361)))) |
% 1.93/2.09 'LE'(f(X_361), 0)),
% 1.93/2.09 inference(subst, [], [clause_141 : [bind(B_5, $fot(X_361))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_96, plain,
% 1.93/2.09 ('E'(s(0), f(suc(suc(X_9)))) | 'LE'(f(suc(suc(X_9))), s(0))),
% 1.93/2.09 inference(subst, [], [refute_0_2 : [bind(B_2, $fot(suc(suc(X_9))))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_97, plain,
% 1.93/2.09 (~ 'LE'(f(suc(suc(X_9))), s(0)) | 'E'(0, f(suc(suc(X_9)))) |
% 1.93/2.09 'LE'(f(X_9), 0)),
% 1.93/2.09 inference(subst, [], [clause_141 : [bind(B_5, $fot(X_9))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_98, plain,
% 1.93/2.09 ('E'(0, f(suc(suc(X_9)))) | 'E'(s(0), f(suc(suc(X_9)))) |
% 1.93/2.09 'LE'(f(X_9), 0)),
% 1.93/2.09 inference(resolve, [$cnf('LE'(f(suc(suc(X_9))), s(0)))],
% 1.93/2.09 [refute_0_96, refute_0_97])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_99, plain,
% 1.93/2.09 ('E'(0, f(suc(suc(X_360)))) | 'E'(s(0), f(suc(suc(X_360)))) |
% 1.93/2.09 'LE'(f(X_360), 0)),
% 1.93/2.09 inference(subst, [], [refute_0_98 : [bind(X_9, $fot(X_360))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_100, plain,
% 1.93/2.09 ('E'(s(0), f(suc(suc(suc(X_359))))) | 'LE'(f(suc(suc(X_359))), s(0))),
% 1.93/2.09 inference(subst, [],
% 1.93/2.09 [refute_0_8 : [bind(B_2, $fot(suc(suc(X_359))))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_101, plain,
% 1.93/2.09 ('E'(0, f(suc(suc(X_259)))) | 'E'(s(0), f(suc(suc(X_259)))) |
% 1.93/2.09 'LE'(f(X_259), 0)),
% 1.93/2.09 inference(subst, [], [refute_0_98 : [bind(X_9, $fot(X_259))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_102, plain,
% 1.93/2.09 ('E'(s(0), f(suc(suc(suc(X_258))))) | 'LE'(f(suc(suc(X_258))), s(0))),
% 1.93/2.09 inference(subst, [],
% 1.93/2.09 [refute_0_8 : [bind(B_2, $fot(suc(suc(X_258))))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_103, plain,
% 1.93/2.09 (~ 'E'(s(0), f(suc(suc(X_9)))) |
% 1.93/2.09 'E'(f(suc(suc(X_9))), f(suc(suc(suc(X_9))))) |
% 1.93/2.09 'LE'(f(suc(suc(X_9))), s(0)) |
% 1.93/2.09 iLEQ(suc(suc(suc(X_9))), suc(suc(suc(X_9))))),
% 1.93/2.09 inference(subst, [],
% 1.93/2.09 [refute_0_14 : [bind(X_14, $fot(suc(suc(X_9))))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_104, plain,
% 1.93/2.09 ('E'(0, f(suc(suc(X_9)))) |
% 1.93/2.09 'E'(f(suc(suc(X_9))), f(suc(suc(suc(X_9))))) | 'LE'(f(X_9), 0) |
% 1.93/2.09 'LE'(f(suc(suc(X_9))), s(0)) |
% 1.93/2.09 iLEQ(suc(suc(suc(X_9))), suc(suc(suc(X_9))))),
% 1.93/2.09 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_9)))))],
% 1.93/2.09 [refute_0_98, refute_0_103])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_105, plain,
% 1.93/2.09 ('E'(0, f(suc(suc(X_257)))) |
% 1.93/2.09 'E'(f(suc(suc(X_257))), f(suc(suc(suc(X_257))))) | 'LE'(f(X_257), 0) |
% 1.93/2.09 'LE'(f(suc(suc(X_257))), s(0)) |
% 1.93/2.09 iLEQ(suc(suc(suc(X_257))), suc(suc(suc(X_257))))),
% 1.93/2.09 inference(subst, [], [refute_0_104 : [bind(X_9, $fot(X_257))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_106, plain,
% 1.93/2.09 (~ 'E'(f(suc(suc(X_137))), f(suc(suc(suc(X_137))))) |
% 1.93/2.09 ~ 'E'(f(suc(suc(X_137))), f(suc(suc(suc(suc(X_137)))))) |
% 1.93/2.09 ~ 'E'(s(0), f(suc(suc(X_137)))) |
% 1.93/2.09 ~ 'E'(s(0), f(suc(suc(suc(X_137))))) |
% 1.93/2.09 'LE'(f(suc(suc(X_137))), s(0)) |
% 1.93/2.09 iLEQ(suc(suc(suc(X_137))), suc(suc(suc(X_137))))),
% 1.93/2.09 inference(subst, [],
% 1.93/2.09 [refute_0_27 : [bind(X_81, $fot(suc(suc(X_137))))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_107, plain,
% 1.93/2.09 ('E'(0, f(suc(suc(X_136)))) | 'E'(s(0), f(suc(suc(X_136)))) |
% 1.93/2.09 'LE'(f(X_136), 0)),
% 1.93/2.09 inference(subst, [], [refute_0_98 : [bind(X_9, $fot(X_136))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_108, plain,
% 1.93/2.09 (~ 'E'(f(suc(suc(X_54))), f(suc(suc(suc(X_54))))) |
% 1.93/2.09 ~ 'E'(s(0), f(suc(suc(X_54)))) |
% 1.93/2.09 'E'(f(suc(suc(X_54))), f(suc(suc(suc(suc(X_54)))))) |
% 1.93/2.09 'LE'(f(suc(suc(X_54))), s(0)) |
% 1.93/2.09 iLEQ(suc(suc(suc(X_54))), suc(suc(suc(X_54))))),
% 1.93/2.09 inference(subst, [],
% 1.93/2.09 [refute_0_35 : [bind(X_38, $fot(suc(suc(X_54))))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_109, plain,
% 1.93/2.09 ('E'(0, f(suc(suc(X_54)))) |
% 1.93/2.09 'E'(f(suc(suc(X_54))), f(suc(suc(suc(X_54))))) | 'LE'(f(X_54), 0) |
% 1.93/2.09 'LE'(f(suc(suc(X_54))), s(0)) |
% 1.93/2.09 iLEQ(suc(suc(suc(X_54))), suc(suc(suc(X_54))))),
% 1.93/2.09 inference(subst, [], [refute_0_104 : [bind(X_9, $fot(X_54))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_110, plain,
% 1.93/2.09 (~ 'E'(s(0), f(suc(suc(X_54)))) | 'E'(0, f(suc(suc(X_54)))) |
% 1.93/2.09 'E'(f(suc(suc(X_54))), f(suc(suc(suc(suc(X_54)))))) |
% 1.93/2.09 'LE'(f(X_54), 0) | 'LE'(f(suc(suc(X_54))), s(0)) |
% 1.93/2.09 iLEQ(suc(suc(suc(X_54))), suc(suc(suc(X_54))))),
% 1.93/2.09 inference(resolve,
% 1.93/2.09 [$cnf('E'(f(suc(suc(X_54))), f(suc(suc(suc(X_54))))))],
% 1.93/2.09 [refute_0_109, refute_0_108])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_111, plain,
% 1.93/2.09 (~ 'E'(s(0), f(suc(suc(X_136)))) | 'E'(0, f(suc(suc(X_136)))) |
% 1.93/2.09 'E'(f(suc(suc(X_136))), f(suc(suc(suc(suc(X_136)))))) |
% 1.93/2.09 'LE'(f(X_136), 0) | 'LE'(f(suc(suc(X_136))), s(0)) |
% 1.93/2.09 iLEQ(suc(suc(suc(X_136))), suc(suc(suc(X_136))))),
% 1.93/2.09 inference(subst, [], [refute_0_110 : [bind(X_54, $fot(X_136))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_112, plain,
% 1.93/2.09 ('E'(0, f(suc(suc(X_136)))) |
% 1.93/2.09 'E'(f(suc(suc(X_136))), f(suc(suc(suc(suc(X_136)))))) |
% 1.93/2.09 'LE'(f(X_136), 0) | 'LE'(f(suc(suc(X_136))), s(0)) |
% 1.93/2.09 iLEQ(suc(suc(suc(X_136))), suc(suc(suc(X_136))))),
% 1.93/2.09 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_136)))))],
% 1.93/2.09 [refute_0_107, refute_0_111])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_113, plain,
% 1.93/2.09 ('E'(0, f(suc(suc(X_137)))) |
% 1.93/2.09 'E'(f(suc(suc(X_137))), f(suc(suc(suc(suc(X_137)))))) |
% 1.93/2.09 'LE'(f(X_137), 0) | 'LE'(f(suc(suc(X_137))), s(0)) |
% 1.93/2.09 iLEQ(suc(suc(suc(X_137))), suc(suc(suc(X_137))))),
% 1.93/2.09 inference(subst, [], [refute_0_112 : [bind(X_136, $fot(X_137))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_114, plain,
% 1.93/2.09 (~ 'E'(f(suc(suc(X_137))), f(suc(suc(suc(X_137))))) |
% 1.93/2.09 ~ 'E'(s(0), f(suc(suc(X_137)))) |
% 1.93/2.09 ~ 'E'(s(0), f(suc(suc(suc(X_137))))) | 'E'(0, f(suc(suc(X_137)))) |
% 1.93/2.09 'LE'(f(X_137), 0) | 'LE'(f(suc(suc(X_137))), s(0)) |
% 1.93/2.09 iLEQ(suc(suc(suc(X_137))), suc(suc(suc(X_137))))),
% 1.93/2.09 inference(resolve,
% 1.93/2.09 [$cnf('E'(f(suc(suc(X_137))),
% 1.93/2.09 f(suc(suc(suc(suc(X_137)))))))],
% 1.93/2.09 [refute_0_113, refute_0_106])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_115, plain,
% 1.93/2.09 (~ 'E'(f(suc(suc(X_257))), f(suc(suc(suc(X_257))))) |
% 1.93/2.09 ~ 'E'(s(0), f(suc(suc(X_257)))) |
% 1.93/2.09 ~ 'E'(s(0), f(suc(suc(suc(X_257))))) | 'E'(0, f(suc(suc(X_257)))) |
% 1.93/2.09 'LE'(f(X_257), 0) | 'LE'(f(suc(suc(X_257))), s(0)) |
% 1.93/2.09 iLEQ(suc(suc(suc(X_257))), suc(suc(suc(X_257))))),
% 1.93/2.09 inference(subst, [], [refute_0_114 : [bind(X_137, $fot(X_257))]])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_116, plain,
% 1.93/2.09 (~ 'E'(s(0), f(suc(suc(X_257)))) |
% 1.93/2.09 ~ 'E'(s(0), f(suc(suc(suc(X_257))))) | 'E'(0, f(suc(suc(X_257)))) |
% 1.93/2.09 'LE'(f(X_257), 0) | 'LE'(f(suc(suc(X_257))), s(0)) |
% 1.93/2.09 iLEQ(suc(suc(suc(X_257))), suc(suc(suc(X_257))))),
% 1.93/2.09 inference(resolve,
% 1.93/2.09 [$cnf('E'(f(suc(suc(X_257))), f(suc(suc(suc(X_257))))))],
% 1.93/2.09 [refute_0_105, refute_0_115])).
% 1.93/2.09
% 1.93/2.09 cnf(refute_0_117, plain,
% 1.93/2.09 (~ 'E'(s(0), f(suc(suc(X_258)))) |
% 1.93/2.09 ~ 'E'(s(0), f(suc(suc(suc(X_258))))) | 'E'(0, f(suc(suc(X_258)))) |
% 1.93/2.09 'LE'(f(X_258), 0) | 'LE'(f(suc(suc(X_258))), s(0)) |
% 1.93/2.09 iLEQ(suc(suc(suc(X_258))), suc(suc(suc(X_258))))),
% 1.93/2.09 inference(subst, [], [refute_0_116 : [bind(X_257, $fot(X_258))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_118, plain,
% 1.93/2.10 (~ 'E'(s(0), f(suc(suc(X_258)))) | 'E'(0, f(suc(suc(X_258)))) |
% 1.93/2.10 'LE'(f(X_258), 0) | 'LE'(f(suc(suc(X_258))), s(0)) |
% 1.93/2.10 iLEQ(suc(suc(suc(X_258))), suc(suc(suc(X_258))))),
% 1.93/2.10 inference(resolve, [$cnf('E'(s(0), f(suc(suc(suc(X_258))))))],
% 1.93/2.10 [refute_0_102, refute_0_117])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_119, plain,
% 1.93/2.10 (~ 'E'(s(0), f(suc(suc(X_259)))) | 'E'(0, f(suc(suc(X_259)))) |
% 1.93/2.10 'LE'(f(X_259), 0) | 'LE'(f(suc(suc(X_259))), s(0)) |
% 1.93/2.10 iLEQ(suc(suc(suc(X_259))), suc(suc(suc(X_259))))),
% 1.93/2.10 inference(subst, [], [refute_0_118 : [bind(X_258, $fot(X_259))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_120, plain,
% 1.93/2.10 ('E'(0, f(suc(suc(X_259)))) | 'LE'(f(X_259), 0) |
% 1.93/2.10 'LE'(f(suc(suc(X_259))), s(0)) |
% 1.93/2.10 iLEQ(suc(suc(suc(X_259))), suc(suc(suc(X_259))))),
% 1.93/2.10 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_259)))))],
% 1.93/2.10 [refute_0_101, refute_0_119])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_121, plain,
% 1.93/2.10 ('E'(0, f(suc(suc(X_358)))) | 'LE'(f(X_358), 0) |
% 1.93/2.10 'LE'(f(suc(suc(X_358))), s(0)) |
% 1.93/2.10 iLEQ(suc(suc(suc(X_358))), suc(suc(suc(X_358))))),
% 1.93/2.10 inference(subst, [], [refute_0_120 : [bind(X_259, $fot(X_358))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_122, plain,
% 1.93/2.10 ('E'(0, f(suc(suc(X_261)))) | 'E'(s(0), f(suc(suc(X_261)))) |
% 1.93/2.10 'LE'(f(X_261), 0)),
% 1.93/2.10 inference(subst, [], [refute_0_98 : [bind(X_9, $fot(X_261))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_123, plain,
% 1.93/2.10 (~ 'E'(s(0), f(suc(suc(X_260)))) |
% 1.93/2.10 ~ iLEQ(suc(suc(suc(X_260))), suc(suc(suc(X_260)))) |
% 1.93/2.10 'E'(f(suc(suc(X_260))), f(suc(suc(suc(X_260))))) |
% 1.93/2.10 'LE'(f(suc(suc(X_260))), s(0))),
% 1.93/2.10 inference(subst, [],
% 1.93/2.10 [refute_0_53 : [bind(X_15, $fot(suc(suc(X_260))))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_124, plain,
% 1.93/2.10 ('E'(0, f(suc(suc(X_260)))) | 'LE'(f(X_260), 0) |
% 1.93/2.10 'LE'(f(suc(suc(X_260))), s(0)) |
% 1.93/2.10 iLEQ(suc(suc(suc(X_260))), suc(suc(suc(X_260))))),
% 1.93/2.10 inference(subst, [], [refute_0_120 : [bind(X_259, $fot(X_260))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_125, plain,
% 1.93/2.10 (~ 'E'(s(0), f(suc(suc(X_260)))) | 'E'(0, f(suc(suc(X_260)))) |
% 1.93/2.10 'E'(f(suc(suc(X_260))), f(suc(suc(suc(X_260))))) | 'LE'(f(X_260), 0) |
% 1.93/2.10 'LE'(f(suc(suc(X_260))), s(0))),
% 1.93/2.10 inference(resolve,
% 1.93/2.10 [$cnf(iLEQ(suc(suc(suc(X_260))), suc(suc(suc(X_260)))))],
% 1.93/2.10 [refute_0_124, refute_0_123])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_126, plain,
% 1.93/2.10 (~ 'E'(s(0), f(suc(suc(X_261)))) | 'E'(0, f(suc(suc(X_261)))) |
% 1.93/2.10 'E'(f(suc(suc(X_261))), f(suc(suc(suc(X_261))))) | 'LE'(f(X_261), 0) |
% 1.93/2.10 'LE'(f(suc(suc(X_261))), s(0))),
% 1.93/2.10 inference(subst, [], [refute_0_125 : [bind(X_260, $fot(X_261))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_127, plain,
% 1.93/2.10 ('E'(0, f(suc(suc(X_261)))) |
% 1.93/2.10 'E'(f(suc(suc(X_261))), f(suc(suc(suc(X_261))))) | 'LE'(f(X_261), 0) |
% 1.93/2.10 'LE'(f(suc(suc(X_261))), s(0))),
% 1.93/2.10 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_261)))))],
% 1.93/2.10 [refute_0_122, refute_0_126])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_128, plain,
% 1.93/2.10 ('E'(0, f(suc(suc(X_357)))) |
% 1.93/2.10 'E'(f(suc(suc(X_357))), f(suc(suc(suc(X_357))))) | 'LE'(f(X_357), 0) |
% 1.93/2.10 'LE'(f(suc(suc(X_357))), s(0))),
% 1.93/2.10 inference(subst, [], [refute_0_127 : [bind(X_261, $fot(X_357))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_129, plain,
% 1.93/2.10 (~ 'E'(f(suc(suc(X_265))), f(suc(suc(suc(X_265))))) |
% 1.93/2.10 ~ 'E'(f(suc(suc(X_265))), f(suc(suc(suc(suc(X_265)))))) |
% 1.93/2.10 ~ 'E'(s(0), f(suc(suc(X_265)))) |
% 1.93/2.10 ~ 'E'(s(0), f(suc(suc(suc(X_265))))) |
% 1.93/2.10 ~ iLEQ(suc(suc(suc(X_265))), suc(suc(suc(X_265)))) |
% 1.93/2.10 'LE'(f(suc(suc(X_265))), s(0))),
% 1.93/2.10 inference(subst, [],
% 1.93/2.10 [refute_0_65 : [bind(X_83, $fot(suc(suc(X_265))))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_130, plain,
% 1.93/2.10 ('E'(0, f(suc(suc(X_264)))) | 'E'(s(0), f(suc(suc(X_264)))) |
% 1.93/2.10 'LE'(f(X_264), 0)),
% 1.93/2.10 inference(subst, [], [refute_0_98 : [bind(X_9, $fot(X_264))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_131, plain,
% 1.93/2.10 ('E'(0, f(suc(suc(X_263)))) | 'LE'(f(X_263), 0) |
% 1.93/2.10 'LE'(f(suc(suc(X_263))), s(0)) |
% 1.93/2.10 iLEQ(suc(suc(suc(X_263))), suc(suc(suc(X_263))))),
% 1.93/2.10 inference(subst, [], [refute_0_120 : [bind(X_259, $fot(X_263))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_132, plain,
% 1.93/2.10 (~ 'E'(f(suc(suc(X_262))), f(suc(suc(suc(X_262))))) |
% 1.93/2.10 ~ 'E'(s(0), f(suc(suc(X_262)))) |
% 1.93/2.10 ~ iLEQ(suc(suc(suc(X_262))), suc(suc(suc(X_262)))) |
% 1.93/2.10 'E'(f(suc(suc(X_262))), f(suc(suc(suc(suc(X_262)))))) |
% 1.93/2.10 'LE'(f(suc(suc(X_262))), s(0))),
% 1.93/2.10 inference(subst, [],
% 1.93/2.10 [refute_0_74 : [bind(X_40, $fot(suc(suc(X_262))))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_133, plain,
% 1.93/2.10 ('E'(0, f(suc(suc(X_262)))) |
% 1.93/2.10 'E'(f(suc(suc(X_262))), f(suc(suc(suc(X_262))))) | 'LE'(f(X_262), 0) |
% 1.93/2.10 'LE'(f(suc(suc(X_262))), s(0))),
% 1.93/2.10 inference(subst, [], [refute_0_127 : [bind(X_261, $fot(X_262))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_134, plain,
% 1.93/2.10 (~ 'E'(s(0), f(suc(suc(X_262)))) |
% 1.93/2.10 ~ iLEQ(suc(suc(suc(X_262))), suc(suc(suc(X_262)))) |
% 1.93/2.10 'E'(0, f(suc(suc(X_262)))) |
% 1.93/2.10 'E'(f(suc(suc(X_262))), f(suc(suc(suc(suc(X_262)))))) |
% 1.93/2.10 'LE'(f(X_262), 0) | 'LE'(f(suc(suc(X_262))), s(0))),
% 1.93/2.10 inference(resolve,
% 1.93/2.10 [$cnf('E'(f(suc(suc(X_262))), f(suc(suc(suc(X_262))))))],
% 1.93/2.10 [refute_0_133, refute_0_132])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_135, plain,
% 1.93/2.10 (~ 'E'(s(0), f(suc(suc(X_263)))) |
% 1.93/2.10 ~ iLEQ(suc(suc(suc(X_263))), suc(suc(suc(X_263)))) |
% 1.93/2.10 'E'(0, f(suc(suc(X_263)))) |
% 1.93/2.10 'E'(f(suc(suc(X_263))), f(suc(suc(suc(suc(X_263)))))) |
% 1.93/2.10 'LE'(f(X_263), 0) | 'LE'(f(suc(suc(X_263))), s(0))),
% 1.93/2.10 inference(subst, [], [refute_0_134 : [bind(X_262, $fot(X_263))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_136, plain,
% 1.93/2.10 (~ 'E'(s(0), f(suc(suc(X_263)))) | 'E'(0, f(suc(suc(X_263)))) |
% 1.93/2.10 'E'(f(suc(suc(X_263))), f(suc(suc(suc(suc(X_263)))))) |
% 1.93/2.10 'LE'(f(X_263), 0) | 'LE'(f(suc(suc(X_263))), s(0))),
% 1.93/2.10 inference(resolve,
% 1.93/2.10 [$cnf(iLEQ(suc(suc(suc(X_263))), suc(suc(suc(X_263)))))],
% 1.93/2.10 [refute_0_131, refute_0_135])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_137, plain,
% 1.93/2.10 (~ 'E'(s(0), f(suc(suc(X_264)))) | 'E'(0, f(suc(suc(X_264)))) |
% 1.93/2.10 'E'(f(suc(suc(X_264))), f(suc(suc(suc(suc(X_264)))))) |
% 1.93/2.10 'LE'(f(X_264), 0) | 'LE'(f(suc(suc(X_264))), s(0))),
% 1.93/2.10 inference(subst, [], [refute_0_136 : [bind(X_263, $fot(X_264))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_138, plain,
% 1.93/2.10 ('E'(0, f(suc(suc(X_264)))) |
% 1.93/2.10 'E'(f(suc(suc(X_264))), f(suc(suc(suc(suc(X_264)))))) |
% 1.93/2.10 'LE'(f(X_264), 0) | 'LE'(f(suc(suc(X_264))), s(0))),
% 1.93/2.10 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_264)))))],
% 1.93/2.10 [refute_0_130, refute_0_137])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_139, plain,
% 1.93/2.10 ('E'(0, f(suc(suc(X_265)))) |
% 1.93/2.10 'E'(f(suc(suc(X_265))), f(suc(suc(suc(suc(X_265)))))) |
% 1.93/2.10 'LE'(f(X_265), 0) | 'LE'(f(suc(suc(X_265))), s(0))),
% 1.93/2.10 inference(subst, [], [refute_0_138 : [bind(X_264, $fot(X_265))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_140, plain,
% 1.93/2.10 (~ 'E'(f(suc(suc(X_265))), f(suc(suc(suc(X_265))))) |
% 1.93/2.10 ~ 'E'(s(0), f(suc(suc(X_265)))) |
% 1.93/2.10 ~ 'E'(s(0), f(suc(suc(suc(X_265))))) |
% 1.93/2.10 ~ iLEQ(suc(suc(suc(X_265))), suc(suc(suc(X_265)))) |
% 1.93/2.10 'E'(0, f(suc(suc(X_265)))) | 'LE'(f(X_265), 0) |
% 1.93/2.10 'LE'(f(suc(suc(X_265))), s(0))),
% 1.93/2.10 inference(resolve,
% 1.93/2.10 [$cnf('E'(f(suc(suc(X_265))),
% 1.93/2.10 f(suc(suc(suc(suc(X_265)))))))],
% 1.93/2.10 [refute_0_139, refute_0_129])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_141, plain,
% 1.93/2.10 (~ 'E'(f(suc(suc(X_357))), f(suc(suc(suc(X_357))))) |
% 1.93/2.10 ~ 'E'(s(0), f(suc(suc(X_357)))) |
% 1.93/2.10 ~ 'E'(s(0), f(suc(suc(suc(X_357))))) |
% 1.93/2.10 ~ iLEQ(suc(suc(suc(X_357))), suc(suc(suc(X_357)))) |
% 1.93/2.10 'E'(0, f(suc(suc(X_357)))) | 'LE'(f(X_357), 0) |
% 1.93/2.10 'LE'(f(suc(suc(X_357))), s(0))),
% 1.93/2.10 inference(subst, [], [refute_0_140 : [bind(X_265, $fot(X_357))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_142, plain,
% 1.93/2.10 (~ 'E'(s(0), f(suc(suc(X_357)))) |
% 1.93/2.10 ~ 'E'(s(0), f(suc(suc(suc(X_357))))) |
% 1.93/2.10 ~ iLEQ(suc(suc(suc(X_357))), suc(suc(suc(X_357)))) |
% 1.93/2.10 'E'(0, f(suc(suc(X_357)))) | 'LE'(f(X_357), 0) |
% 1.93/2.10 'LE'(f(suc(suc(X_357))), s(0))),
% 1.93/2.10 inference(resolve,
% 1.93/2.10 [$cnf('E'(f(suc(suc(X_357))), f(suc(suc(suc(X_357))))))],
% 1.93/2.10 [refute_0_128, refute_0_141])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_143, plain,
% 1.93/2.10 (~ 'E'(s(0), f(suc(suc(X_358)))) |
% 1.93/2.10 ~ 'E'(s(0), f(suc(suc(suc(X_358))))) |
% 1.93/2.10 ~ iLEQ(suc(suc(suc(X_358))), suc(suc(suc(X_358)))) |
% 1.93/2.10 'E'(0, f(suc(suc(X_358)))) | 'LE'(f(X_358), 0) |
% 1.93/2.10 'LE'(f(suc(suc(X_358))), s(0))),
% 1.93/2.10 inference(subst, [], [refute_0_142 : [bind(X_357, $fot(X_358))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_144, plain,
% 1.93/2.10 (~ 'E'(s(0), f(suc(suc(X_358)))) |
% 1.93/2.10 ~ 'E'(s(0), f(suc(suc(suc(X_358))))) | 'E'(0, f(suc(suc(X_358)))) |
% 1.93/2.10 'LE'(f(X_358), 0) | 'LE'(f(suc(suc(X_358))), s(0))),
% 1.93/2.10 inference(resolve,
% 1.93/2.10 [$cnf(iLEQ(suc(suc(suc(X_358))), suc(suc(suc(X_358)))))],
% 1.93/2.10 [refute_0_121, refute_0_143])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_145, plain,
% 1.93/2.10 (~ 'E'(s(0), f(suc(suc(X_359)))) |
% 1.93/2.10 ~ 'E'(s(0), f(suc(suc(suc(X_359))))) | 'E'(0, f(suc(suc(X_359)))) |
% 1.93/2.10 'LE'(f(X_359), 0) | 'LE'(f(suc(suc(X_359))), s(0))),
% 1.93/2.10 inference(subst, [], [refute_0_144 : [bind(X_358, $fot(X_359))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_146, plain,
% 1.93/2.10 (~ 'E'(s(0), f(suc(suc(X_359)))) | 'E'(0, f(suc(suc(X_359)))) |
% 1.93/2.10 'LE'(f(X_359), 0) | 'LE'(f(suc(suc(X_359))), s(0))),
% 1.93/2.10 inference(resolve, [$cnf('E'(s(0), f(suc(suc(suc(X_359))))))],
% 1.93/2.10 [refute_0_100, refute_0_145])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_147, plain,
% 1.93/2.10 (~ 'E'(s(0), f(suc(suc(X_360)))) | 'E'(0, f(suc(suc(X_360)))) |
% 1.93/2.10 'LE'(f(X_360), 0) | 'LE'(f(suc(suc(X_360))), s(0))),
% 1.93/2.10 inference(subst, [], [refute_0_146 : [bind(X_359, $fot(X_360))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_148, plain,
% 1.93/2.10 ('E'(0, f(suc(suc(X_360)))) | 'LE'(f(X_360), 0) |
% 1.93/2.10 'LE'(f(suc(suc(X_360))), s(0))),
% 1.93/2.10 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_360)))))],
% 1.93/2.10 [refute_0_99, refute_0_147])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_149, plain,
% 1.93/2.10 ('E'(0, f(suc(suc(X_361)))) | 'LE'(f(X_361), 0) |
% 1.93/2.10 'LE'(f(suc(suc(X_361))), s(0))),
% 1.93/2.10 inference(subst, [], [refute_0_148 : [bind(X_360, $fot(X_361))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_150, plain, ('E'(0, f(suc(suc(X_361)))) | 'LE'(f(X_361), 0)),
% 1.93/2.10 inference(resolve, [$cnf('LE'(f(suc(suc(X_361))), s(0)))],
% 1.93/2.10 [refute_0_149, refute_0_95])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_151, plain, ('E'(0, f(suc(suc(z)))) | 'LE'(f(z), 0)),
% 1.93/2.10 inference(subst, [], [refute_0_150 : [bind(X_361, $fot(z))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_152, plain,
% 1.93/2.10 (~ 'LE'(f(suc(suc(suc(X_448)))), s(0)) |
% 1.93/2.10 'E'(0, f(suc(suc(suc(X_448))))) | 'LE'(f(X_448), 0)),
% 1.93/2.10 inference(subst, [], [clause_151 : [bind(B_5, $fot(X_448))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_153, plain,
% 1.93/2.10 ('E'(s(0), f(suc(suc(suc(X_11))))) |
% 1.93/2.10 'LE'(f(suc(suc(suc(X_11)))), s(0))),
% 1.93/2.10 inference(subst, [],
% 1.93/2.10 [refute_0_2 : [bind(B_2, $fot(suc(suc(suc(X_11)))))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_154, plain,
% 1.93/2.10 (~ 'LE'(f(suc(suc(suc(X_11)))), s(0)) |
% 1.93/2.10 'E'(0, f(suc(suc(suc(X_11))))) | 'LE'(f(X_11), 0)),
% 1.93/2.10 inference(subst, [], [clause_151 : [bind(B_5, $fot(X_11))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_155, plain,
% 1.93/2.10 ('E'(0, f(suc(suc(suc(X_11))))) | 'E'(s(0), f(suc(suc(suc(X_11))))) |
% 1.93/2.10 'LE'(f(X_11), 0)),
% 1.93/2.10 inference(resolve, [$cnf('LE'(f(suc(suc(suc(X_11)))), s(0)))],
% 1.93/2.10 [refute_0_153, refute_0_154])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_156, plain,
% 1.93/2.10 ('E'(0, f(suc(suc(suc(X_447))))) | 'E'(s(0), f(suc(suc(suc(X_447))))) |
% 1.93/2.10 'LE'(f(X_447), 0)),
% 1.93/2.10 inference(subst, [], [refute_0_155 : [bind(X_11, $fot(X_447))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_157, plain,
% 1.93/2.10 ('E'(s(0), f(suc(suc(suc(suc(X_446)))))) |
% 1.93/2.10 'LE'(f(suc(suc(suc(X_446)))), s(0))),
% 1.93/2.10 inference(subst, [],
% 1.93/2.10 [refute_0_8 : [bind(B_2, $fot(suc(suc(suc(X_446)))))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_158, plain,
% 1.93/2.10 ('E'(0, f(suc(suc(suc(X_341))))) | 'E'(s(0), f(suc(suc(suc(X_341))))) |
% 1.93/2.10 'LE'(f(X_341), 0)),
% 1.93/2.10 inference(subst, [], [refute_0_155 : [bind(X_11, $fot(X_341))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_159, plain,
% 1.93/2.10 ('E'(s(0), f(suc(suc(suc(suc(X_340)))))) |
% 1.93/2.10 'LE'(f(suc(suc(suc(X_340)))), s(0))),
% 1.93/2.10 inference(subst, [],
% 1.93/2.10 [refute_0_8 : [bind(B_2, $fot(suc(suc(suc(X_340)))))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_160, plain,
% 1.93/2.10 (~ 'E'(s(0), f(suc(suc(suc(X_11))))) |
% 1.93/2.10 'E'(f(suc(suc(suc(X_11)))), f(suc(suc(suc(suc(X_11)))))) |
% 1.93/2.10 'LE'(f(suc(suc(suc(X_11)))), s(0)) |
% 1.93/2.10 iLEQ(suc(suc(suc(suc(X_11)))), suc(suc(suc(suc(X_11)))))),
% 1.93/2.10 inference(subst, [],
% 1.93/2.10 [refute_0_14 : [bind(X_14, $fot(suc(suc(suc(X_11)))))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_161, plain,
% 1.93/2.10 ('E'(0, f(suc(suc(suc(X_11))))) |
% 1.93/2.10 'E'(f(suc(suc(suc(X_11)))), f(suc(suc(suc(suc(X_11)))))) |
% 1.93/2.10 'LE'(f(X_11), 0) | 'LE'(f(suc(suc(suc(X_11)))), s(0)) |
% 1.93/2.10 iLEQ(suc(suc(suc(suc(X_11)))), suc(suc(suc(suc(X_11)))))),
% 1.93/2.10 inference(resolve, [$cnf('E'(s(0), f(suc(suc(suc(X_11))))))],
% 1.93/2.10 [refute_0_155, refute_0_160])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_162, plain,
% 1.93/2.10 ('E'(0, f(suc(suc(suc(X_339))))) |
% 1.93/2.10 'E'(f(suc(suc(suc(X_339)))), f(suc(suc(suc(suc(X_339)))))) |
% 1.93/2.10 'LE'(f(X_339), 0) | 'LE'(f(suc(suc(suc(X_339)))), s(0)) |
% 1.93/2.10 iLEQ(suc(suc(suc(suc(X_339)))), suc(suc(suc(suc(X_339)))))),
% 1.93/2.10 inference(subst, [], [refute_0_161 : [bind(X_11, $fot(X_339))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_163, plain,
% 1.93/2.10 (~ 'E'(f(suc(suc(suc(X_202)))), f(suc(suc(suc(suc(X_202)))))) |
% 1.93/2.10 ~ 'E'(f(suc(suc(suc(X_202)))), f(suc(suc(suc(suc(suc(X_202))))))) |
% 1.93/2.10 ~ 'E'(s(0), f(suc(suc(suc(X_202))))) |
% 1.93/2.10 ~ 'E'(s(0), f(suc(suc(suc(suc(X_202)))))) |
% 1.93/2.10 'LE'(f(suc(suc(suc(X_202)))), s(0)) |
% 1.93/2.10 iLEQ(suc(suc(suc(suc(X_202)))), suc(suc(suc(suc(X_202)))))),
% 1.93/2.10 inference(subst, [],
% 1.93/2.10 [refute_0_27 : [bind(X_81, $fot(suc(suc(suc(X_202)))))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_164, plain,
% 1.93/2.10 ('E'(0, f(suc(suc(suc(X_201))))) | 'E'(s(0), f(suc(suc(suc(X_201))))) |
% 1.93/2.10 'LE'(f(X_201), 0)),
% 1.93/2.10 inference(subst, [], [refute_0_155 : [bind(X_11, $fot(X_201))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_165, plain,
% 1.93/2.10 (~ 'E'(f(suc(suc(suc(X_76)))), f(suc(suc(suc(suc(X_76)))))) |
% 1.93/2.10 ~ 'E'(s(0), f(suc(suc(suc(X_76))))) |
% 1.93/2.10 'E'(f(suc(suc(suc(X_76)))), f(suc(suc(suc(suc(suc(X_76))))))) |
% 1.93/2.10 'LE'(f(suc(suc(suc(X_76)))), s(0)) |
% 1.93/2.10 iLEQ(suc(suc(suc(suc(X_76)))), suc(suc(suc(suc(X_76)))))),
% 1.93/2.10 inference(subst, [],
% 1.93/2.10 [refute_0_35 : [bind(X_38, $fot(suc(suc(suc(X_76)))))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_166, plain,
% 1.93/2.10 ('E'(0, f(suc(suc(suc(X_76))))) |
% 1.93/2.10 'E'(f(suc(suc(suc(X_76)))), f(suc(suc(suc(suc(X_76)))))) |
% 1.93/2.10 'LE'(f(X_76), 0) | 'LE'(f(suc(suc(suc(X_76)))), s(0)) |
% 1.93/2.10 iLEQ(suc(suc(suc(suc(X_76)))), suc(suc(suc(suc(X_76)))))),
% 1.93/2.10 inference(subst, [], [refute_0_161 : [bind(X_11, $fot(X_76))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_167, plain,
% 1.93/2.10 (~ 'E'(s(0), f(suc(suc(suc(X_76))))) | 'E'(0, f(suc(suc(suc(X_76))))) |
% 1.93/2.10 'E'(f(suc(suc(suc(X_76)))), f(suc(suc(suc(suc(suc(X_76))))))) |
% 1.93/2.10 'LE'(f(X_76), 0) | 'LE'(f(suc(suc(suc(X_76)))), s(0)) |
% 1.93/2.10 iLEQ(suc(suc(suc(suc(X_76)))), suc(suc(suc(suc(X_76)))))),
% 1.93/2.10 inference(resolve,
% 1.93/2.10 [$cnf('E'(f(suc(suc(suc(X_76)))),
% 1.93/2.10 f(suc(suc(suc(suc(X_76)))))))],
% 1.93/2.10 [refute_0_166, refute_0_165])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_168, plain,
% 1.93/2.10 (~ 'E'(s(0), f(suc(suc(suc(X_201))))) |
% 1.93/2.10 'E'(0, f(suc(suc(suc(X_201))))) |
% 1.93/2.10 'E'(f(suc(suc(suc(X_201)))), f(suc(suc(suc(suc(suc(X_201))))))) |
% 1.93/2.10 'LE'(f(X_201), 0) | 'LE'(f(suc(suc(suc(X_201)))), s(0)) |
% 1.93/2.10 iLEQ(suc(suc(suc(suc(X_201)))), suc(suc(suc(suc(X_201)))))),
% 1.93/2.10 inference(subst, [], [refute_0_167 : [bind(X_76, $fot(X_201))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_169, plain,
% 1.93/2.10 ('E'(0, f(suc(suc(suc(X_201))))) |
% 1.93/2.10 'E'(f(suc(suc(suc(X_201)))), f(suc(suc(suc(suc(suc(X_201))))))) |
% 1.93/2.10 'LE'(f(X_201), 0) | 'LE'(f(suc(suc(suc(X_201)))), s(0)) |
% 1.93/2.10 iLEQ(suc(suc(suc(suc(X_201)))), suc(suc(suc(suc(X_201)))))),
% 1.93/2.10 inference(resolve, [$cnf('E'(s(0), f(suc(suc(suc(X_201))))))],
% 1.93/2.10 [refute_0_164, refute_0_168])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_170, plain,
% 1.93/2.10 ('E'(0, f(suc(suc(suc(X_202))))) |
% 1.93/2.10 'E'(f(suc(suc(suc(X_202)))), f(suc(suc(suc(suc(suc(X_202))))))) |
% 1.93/2.10 'LE'(f(X_202), 0) | 'LE'(f(suc(suc(suc(X_202)))), s(0)) |
% 1.93/2.10 iLEQ(suc(suc(suc(suc(X_202)))), suc(suc(suc(suc(X_202)))))),
% 1.93/2.10 inference(subst, [], [refute_0_169 : [bind(X_201, $fot(X_202))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_171, plain,
% 1.93/2.10 (~ 'E'(f(suc(suc(suc(X_202)))), f(suc(suc(suc(suc(X_202)))))) |
% 1.93/2.10 ~ 'E'(s(0), f(suc(suc(suc(X_202))))) |
% 1.93/2.10 ~ 'E'(s(0), f(suc(suc(suc(suc(X_202)))))) |
% 1.93/2.10 'E'(0, f(suc(suc(suc(X_202))))) | 'LE'(f(X_202), 0) |
% 1.93/2.10 'LE'(f(suc(suc(suc(X_202)))), s(0)) |
% 1.93/2.10 iLEQ(suc(suc(suc(suc(X_202)))), suc(suc(suc(suc(X_202)))))),
% 1.93/2.10 inference(resolve,
% 1.93/2.10 [$cnf('E'(f(suc(suc(suc(X_202)))),
% 1.93/2.10 f(suc(suc(suc(suc(suc(X_202))))))))],
% 1.93/2.10 [refute_0_170, refute_0_163])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_172, plain,
% 1.93/2.10 (~ 'E'(f(suc(suc(suc(X_339)))), f(suc(suc(suc(suc(X_339)))))) |
% 1.93/2.10 ~ 'E'(s(0), f(suc(suc(suc(X_339))))) |
% 1.93/2.10 ~ 'E'(s(0), f(suc(suc(suc(suc(X_339)))))) |
% 1.93/2.10 'E'(0, f(suc(suc(suc(X_339))))) | 'LE'(f(X_339), 0) |
% 1.93/2.10 'LE'(f(suc(suc(suc(X_339)))), s(0)) |
% 1.93/2.10 iLEQ(suc(suc(suc(suc(X_339)))), suc(suc(suc(suc(X_339)))))),
% 1.93/2.10 inference(subst, [], [refute_0_171 : [bind(X_202, $fot(X_339))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_173, plain,
% 1.93/2.10 (~ 'E'(s(0), f(suc(suc(suc(X_339))))) |
% 1.93/2.10 ~ 'E'(s(0), f(suc(suc(suc(suc(X_339)))))) |
% 1.93/2.10 'E'(0, f(suc(suc(suc(X_339))))) | 'LE'(f(X_339), 0) |
% 1.93/2.10 'LE'(f(suc(suc(suc(X_339)))), s(0)) |
% 1.93/2.10 iLEQ(suc(suc(suc(suc(X_339)))), suc(suc(suc(suc(X_339)))))),
% 1.93/2.10 inference(resolve,
% 1.93/2.10 [$cnf('E'(f(suc(suc(suc(X_339)))),
% 1.93/2.10 f(suc(suc(suc(suc(X_339)))))))],
% 1.93/2.10 [refute_0_162, refute_0_172])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_174, plain,
% 1.93/2.10 (~ 'E'(s(0), f(suc(suc(suc(X_340))))) |
% 1.93/2.10 ~ 'E'(s(0), f(suc(suc(suc(suc(X_340)))))) |
% 1.93/2.10 'E'(0, f(suc(suc(suc(X_340))))) | 'LE'(f(X_340), 0) |
% 1.93/2.10 'LE'(f(suc(suc(suc(X_340)))), s(0)) |
% 1.93/2.10 iLEQ(suc(suc(suc(suc(X_340)))), suc(suc(suc(suc(X_340)))))),
% 1.93/2.10 inference(subst, [], [refute_0_173 : [bind(X_339, $fot(X_340))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_175, plain,
% 1.93/2.10 (~ 'E'(s(0), f(suc(suc(suc(X_340))))) |
% 1.93/2.10 'E'(0, f(suc(suc(suc(X_340))))) | 'LE'(f(X_340), 0) |
% 1.93/2.10 'LE'(f(suc(suc(suc(X_340)))), s(0)) |
% 1.93/2.10 iLEQ(suc(suc(suc(suc(X_340)))), suc(suc(suc(suc(X_340)))))),
% 1.93/2.10 inference(resolve, [$cnf('E'(s(0), f(suc(suc(suc(suc(X_340)))))))],
% 1.93/2.10 [refute_0_159, refute_0_174])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_176, plain,
% 1.93/2.10 (~ 'E'(s(0), f(suc(suc(suc(X_341))))) |
% 1.93/2.10 'E'(0, f(suc(suc(suc(X_341))))) | 'LE'(f(X_341), 0) |
% 1.93/2.10 'LE'(f(suc(suc(suc(X_341)))), s(0)) |
% 1.93/2.10 iLEQ(suc(suc(suc(suc(X_341)))), suc(suc(suc(suc(X_341)))))),
% 1.93/2.10 inference(subst, [], [refute_0_175 : [bind(X_340, $fot(X_341))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_177, plain,
% 1.93/2.10 ('E'(0, f(suc(suc(suc(X_341))))) | 'LE'(f(X_341), 0) |
% 1.93/2.10 'LE'(f(suc(suc(suc(X_341)))), s(0)) |
% 1.93/2.10 iLEQ(suc(suc(suc(suc(X_341)))), suc(suc(suc(suc(X_341)))))),
% 1.93/2.10 inference(resolve, [$cnf('E'(s(0), f(suc(suc(suc(X_341))))))],
% 1.93/2.10 [refute_0_158, refute_0_176])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_178, plain,
% 1.93/2.10 ('E'(0, f(suc(suc(suc(X_445))))) | 'LE'(f(X_445), 0) |
% 1.93/2.10 'LE'(f(suc(suc(suc(X_445)))), s(0)) |
% 1.93/2.10 iLEQ(suc(suc(suc(suc(X_445)))), suc(suc(suc(suc(X_445)))))),
% 1.93/2.10 inference(subst, [], [refute_0_177 : [bind(X_341, $fot(X_445))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_179, plain,
% 1.93/2.10 ('E'(0, f(suc(suc(suc(X_343))))) | 'E'(s(0), f(suc(suc(suc(X_343))))) |
% 1.93/2.10 'LE'(f(X_343), 0)),
% 1.93/2.10 inference(subst, [], [refute_0_155 : [bind(X_11, $fot(X_343))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_180, plain,
% 1.93/2.10 (~ 'E'(s(0), f(suc(suc(suc(X_342))))) |
% 1.93/2.10 ~ iLEQ(suc(suc(suc(suc(X_342)))), suc(suc(suc(suc(X_342))))) |
% 1.93/2.10 'E'(f(suc(suc(suc(X_342)))), f(suc(suc(suc(suc(X_342)))))) |
% 1.93/2.10 'LE'(f(suc(suc(suc(X_342)))), s(0))),
% 1.93/2.10 inference(subst, [],
% 1.93/2.10 [refute_0_53 : [bind(X_15, $fot(suc(suc(suc(X_342)))))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_181, plain,
% 1.93/2.10 ('E'(0, f(suc(suc(suc(X_342))))) | 'LE'(f(X_342), 0) |
% 1.93/2.10 'LE'(f(suc(suc(suc(X_342)))), s(0)) |
% 1.93/2.10 iLEQ(suc(suc(suc(suc(X_342)))), suc(suc(suc(suc(X_342)))))),
% 1.93/2.10 inference(subst, [], [refute_0_177 : [bind(X_341, $fot(X_342))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_182, plain,
% 1.93/2.10 (~ 'E'(s(0), f(suc(suc(suc(X_342))))) |
% 1.93/2.10 'E'(0, f(suc(suc(suc(X_342))))) |
% 1.93/2.10 'E'(f(suc(suc(suc(X_342)))), f(suc(suc(suc(suc(X_342)))))) |
% 1.93/2.10 'LE'(f(X_342), 0) | 'LE'(f(suc(suc(suc(X_342)))), s(0))),
% 1.93/2.10 inference(resolve,
% 1.93/2.10 [$cnf(iLEQ(suc(suc(suc(suc(X_342)))),
% 1.93/2.10 suc(suc(suc(suc(X_342))))))],
% 1.93/2.10 [refute_0_181, refute_0_180])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_183, plain,
% 1.93/2.10 (~ 'E'(s(0), f(suc(suc(suc(X_343))))) |
% 1.93/2.10 'E'(0, f(suc(suc(suc(X_343))))) |
% 1.93/2.10 'E'(f(suc(suc(suc(X_343)))), f(suc(suc(suc(suc(X_343)))))) |
% 1.93/2.10 'LE'(f(X_343), 0) | 'LE'(f(suc(suc(suc(X_343)))), s(0))),
% 1.93/2.10 inference(subst, [], [refute_0_182 : [bind(X_342, $fot(X_343))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_184, plain,
% 1.93/2.10 ('E'(0, f(suc(suc(suc(X_343))))) |
% 1.93/2.10 'E'(f(suc(suc(suc(X_343)))), f(suc(suc(suc(suc(X_343)))))) |
% 1.93/2.10 'LE'(f(X_343), 0) | 'LE'(f(suc(suc(suc(X_343)))), s(0))),
% 1.93/2.10 inference(resolve, [$cnf('E'(s(0), f(suc(suc(suc(X_343))))))],
% 1.93/2.10 [refute_0_179, refute_0_183])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_185, plain,
% 1.93/2.10 ('E'(0, f(suc(suc(suc(X_444))))) |
% 1.93/2.10 'E'(f(suc(suc(suc(X_444)))), f(suc(suc(suc(suc(X_444)))))) |
% 1.93/2.10 'LE'(f(X_444), 0) | 'LE'(f(suc(suc(suc(X_444)))), s(0))),
% 1.93/2.10 inference(subst, [], [refute_0_184 : [bind(X_343, $fot(X_444))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_186, plain,
% 1.93/2.10 (~ 'E'(f(suc(suc(suc(X_347)))), f(suc(suc(suc(suc(X_347)))))) |
% 1.93/2.10 ~ 'E'(f(suc(suc(suc(X_347)))), f(suc(suc(suc(suc(suc(X_347))))))) |
% 1.93/2.10 ~ 'E'(s(0), f(suc(suc(suc(X_347))))) |
% 1.93/2.10 ~ 'E'(s(0), f(suc(suc(suc(suc(X_347)))))) |
% 1.93/2.10 ~ iLEQ(suc(suc(suc(suc(X_347)))), suc(suc(suc(suc(X_347))))) |
% 1.93/2.10 'LE'(f(suc(suc(suc(X_347)))), s(0))),
% 1.93/2.10 inference(subst, [],
% 1.93/2.10 [refute_0_65 : [bind(X_83, $fot(suc(suc(suc(X_347)))))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_187, plain,
% 1.93/2.10 ('E'(0, f(suc(suc(suc(X_346))))) | 'E'(s(0), f(suc(suc(suc(X_346))))) |
% 1.93/2.10 'LE'(f(X_346), 0)),
% 1.93/2.10 inference(subst, [], [refute_0_155 : [bind(X_11, $fot(X_346))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_188, plain,
% 1.93/2.10 ('E'(0, f(suc(suc(suc(X_345))))) | 'LE'(f(X_345), 0) |
% 1.93/2.10 'LE'(f(suc(suc(suc(X_345)))), s(0)) |
% 1.93/2.10 iLEQ(suc(suc(suc(suc(X_345)))), suc(suc(suc(suc(X_345)))))),
% 1.93/2.10 inference(subst, [], [refute_0_177 : [bind(X_341, $fot(X_345))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_189, plain,
% 1.93/2.10 (~ 'E'(f(suc(suc(suc(X_344)))), f(suc(suc(suc(suc(X_344)))))) |
% 1.93/2.10 ~ 'E'(s(0), f(suc(suc(suc(X_344))))) |
% 1.93/2.10 ~ iLEQ(suc(suc(suc(suc(X_344)))), suc(suc(suc(suc(X_344))))) |
% 1.93/2.10 'E'(f(suc(suc(suc(X_344)))), f(suc(suc(suc(suc(suc(X_344))))))) |
% 1.93/2.10 'LE'(f(suc(suc(suc(X_344)))), s(0))),
% 1.93/2.10 inference(subst, [],
% 1.93/2.10 [refute_0_74 : [bind(X_40, $fot(suc(suc(suc(X_344)))))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_190, plain,
% 1.93/2.10 ('E'(0, f(suc(suc(suc(X_344))))) |
% 1.93/2.10 'E'(f(suc(suc(suc(X_344)))), f(suc(suc(suc(suc(X_344)))))) |
% 1.93/2.10 'LE'(f(X_344), 0) | 'LE'(f(suc(suc(suc(X_344)))), s(0))),
% 1.93/2.10 inference(subst, [], [refute_0_184 : [bind(X_343, $fot(X_344))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_191, plain,
% 1.93/2.10 (~ 'E'(s(0), f(suc(suc(suc(X_344))))) |
% 1.93/2.10 ~ iLEQ(suc(suc(suc(suc(X_344)))), suc(suc(suc(suc(X_344))))) |
% 1.93/2.10 'E'(0, f(suc(suc(suc(X_344))))) |
% 1.93/2.10 'E'(f(suc(suc(suc(X_344)))), f(suc(suc(suc(suc(suc(X_344))))))) |
% 1.93/2.10 'LE'(f(X_344), 0) | 'LE'(f(suc(suc(suc(X_344)))), s(0))),
% 1.93/2.10 inference(resolve,
% 1.93/2.10 [$cnf('E'(f(suc(suc(suc(X_344)))),
% 1.93/2.10 f(suc(suc(suc(suc(X_344)))))))],
% 1.93/2.10 [refute_0_190, refute_0_189])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_192, plain,
% 1.93/2.10 (~ 'E'(s(0), f(suc(suc(suc(X_345))))) |
% 1.93/2.10 ~ iLEQ(suc(suc(suc(suc(X_345)))), suc(suc(suc(suc(X_345))))) |
% 1.93/2.10 'E'(0, f(suc(suc(suc(X_345))))) |
% 1.93/2.10 'E'(f(suc(suc(suc(X_345)))), f(suc(suc(suc(suc(suc(X_345))))))) |
% 1.93/2.10 'LE'(f(X_345), 0) | 'LE'(f(suc(suc(suc(X_345)))), s(0))),
% 1.93/2.10 inference(subst, [], [refute_0_191 : [bind(X_344, $fot(X_345))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_193, plain,
% 1.93/2.10 (~ 'E'(s(0), f(suc(suc(suc(X_345))))) |
% 1.93/2.10 'E'(0, f(suc(suc(suc(X_345))))) |
% 1.93/2.10 'E'(f(suc(suc(suc(X_345)))), f(suc(suc(suc(suc(suc(X_345))))))) |
% 1.93/2.10 'LE'(f(X_345), 0) | 'LE'(f(suc(suc(suc(X_345)))), s(0))),
% 1.93/2.10 inference(resolve,
% 1.93/2.10 [$cnf(iLEQ(suc(suc(suc(suc(X_345)))),
% 1.93/2.10 suc(suc(suc(suc(X_345))))))],
% 1.93/2.10 [refute_0_188, refute_0_192])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_194, plain,
% 1.93/2.10 (~ 'E'(s(0), f(suc(suc(suc(X_346))))) |
% 1.93/2.10 'E'(0, f(suc(suc(suc(X_346))))) |
% 1.93/2.10 'E'(f(suc(suc(suc(X_346)))), f(suc(suc(suc(suc(suc(X_346))))))) |
% 1.93/2.10 'LE'(f(X_346), 0) | 'LE'(f(suc(suc(suc(X_346)))), s(0))),
% 1.93/2.10 inference(subst, [], [refute_0_193 : [bind(X_345, $fot(X_346))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_195, plain,
% 1.93/2.10 ('E'(0, f(suc(suc(suc(X_346))))) |
% 1.93/2.10 'E'(f(suc(suc(suc(X_346)))), f(suc(suc(suc(suc(suc(X_346))))))) |
% 1.93/2.10 'LE'(f(X_346), 0) | 'LE'(f(suc(suc(suc(X_346)))), s(0))),
% 1.93/2.10 inference(resolve, [$cnf('E'(s(0), f(suc(suc(suc(X_346))))))],
% 1.93/2.10 [refute_0_187, refute_0_194])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_196, plain,
% 1.93/2.10 ('E'(0, f(suc(suc(suc(X_347))))) |
% 1.93/2.10 'E'(f(suc(suc(suc(X_347)))), f(suc(suc(suc(suc(suc(X_347))))))) |
% 1.93/2.10 'LE'(f(X_347), 0) | 'LE'(f(suc(suc(suc(X_347)))), s(0))),
% 1.93/2.10 inference(subst, [], [refute_0_195 : [bind(X_346, $fot(X_347))]])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_197, plain,
% 1.93/2.10 (~ 'E'(f(suc(suc(suc(X_347)))), f(suc(suc(suc(suc(X_347)))))) |
% 1.93/2.10 ~ 'E'(s(0), f(suc(suc(suc(X_347))))) |
% 1.93/2.10 ~ 'E'(s(0), f(suc(suc(suc(suc(X_347)))))) |
% 1.93/2.10 ~ iLEQ(suc(suc(suc(suc(X_347)))), suc(suc(suc(suc(X_347))))) |
% 1.93/2.10 'E'(0, f(suc(suc(suc(X_347))))) | 'LE'(f(X_347), 0) |
% 1.93/2.10 'LE'(f(suc(suc(suc(X_347)))), s(0))),
% 1.93/2.10 inference(resolve,
% 1.93/2.10 [$cnf('E'(f(suc(suc(suc(X_347)))),
% 1.93/2.10 f(suc(suc(suc(suc(suc(X_347))))))))],
% 1.93/2.10 [refute_0_196, refute_0_186])).
% 1.93/2.10
% 1.93/2.10 cnf(refute_0_198, plain,
% 1.93/2.10 (~ 'E'(f(suc(suc(suc(X_444)))), f(suc(suc(suc(suc(X_444)))))) |
% 1.93/2.10 ~ 'E'(s(0), f(suc(suc(suc(X_444))))) |
% 1.93/2.10 ~ 'E'(s(0), f(suc(suc(suc(suc(X_444)))))) |
% 1.93/2.10 ~ iLEQ(suc(suc(suc(suc(X_444)))), suc(suc(suc(suc(X_444))))) |
% 1.93/2.10 'E'(0, f(suc(suc(suc(X_444))))) | 'LE'(f(X_444), 0) |
% 1.93/2.10 'LE'(f(suc(suc(suc(X_444)))), s(0))),
% 1.93/2.10 inference(subst, [], [refute_0_197 : [bind(X_347, $fot(X_444))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_199, plain,
% 1.93/2.11 (~ 'E'(s(0), f(suc(suc(suc(X_444))))) |
% 1.93/2.11 ~ 'E'(s(0), f(suc(suc(suc(suc(X_444)))))) |
% 1.93/2.11 ~ iLEQ(suc(suc(suc(suc(X_444)))), suc(suc(suc(suc(X_444))))) |
% 1.93/2.11 'E'(0, f(suc(suc(suc(X_444))))) | 'LE'(f(X_444), 0) |
% 1.93/2.11 'LE'(f(suc(suc(suc(X_444)))), s(0))),
% 1.93/2.11 inference(resolve,
% 1.93/2.11 [$cnf('E'(f(suc(suc(suc(X_444)))),
% 1.93/2.11 f(suc(suc(suc(suc(X_444)))))))],
% 1.93/2.11 [refute_0_185, refute_0_198])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_200, plain,
% 1.93/2.11 (~ 'E'(s(0), f(suc(suc(suc(X_445))))) |
% 1.93/2.11 ~ 'E'(s(0), f(suc(suc(suc(suc(X_445)))))) |
% 1.93/2.11 ~ iLEQ(suc(suc(suc(suc(X_445)))), suc(suc(suc(suc(X_445))))) |
% 1.93/2.11 'E'(0, f(suc(suc(suc(X_445))))) | 'LE'(f(X_445), 0) |
% 1.93/2.11 'LE'(f(suc(suc(suc(X_445)))), s(0))),
% 1.93/2.11 inference(subst, [], [refute_0_199 : [bind(X_444, $fot(X_445))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_201, plain,
% 1.93/2.11 (~ 'E'(s(0), f(suc(suc(suc(X_445))))) |
% 1.93/2.11 ~ 'E'(s(0), f(suc(suc(suc(suc(X_445)))))) |
% 1.93/2.11 'E'(0, f(suc(suc(suc(X_445))))) | 'LE'(f(X_445), 0) |
% 1.93/2.11 'LE'(f(suc(suc(suc(X_445)))), s(0))),
% 1.93/2.11 inference(resolve,
% 1.93/2.11 [$cnf(iLEQ(suc(suc(suc(suc(X_445)))),
% 1.93/2.11 suc(suc(suc(suc(X_445))))))],
% 1.93/2.11 [refute_0_178, refute_0_200])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_202, plain,
% 1.93/2.11 (~ 'E'(s(0), f(suc(suc(suc(X_446))))) |
% 1.93/2.11 ~ 'E'(s(0), f(suc(suc(suc(suc(X_446)))))) |
% 1.93/2.11 'E'(0, f(suc(suc(suc(X_446))))) | 'LE'(f(X_446), 0) |
% 1.93/2.11 'LE'(f(suc(suc(suc(X_446)))), s(0))),
% 1.93/2.11 inference(subst, [], [refute_0_201 : [bind(X_445, $fot(X_446))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_203, plain,
% 1.93/2.11 (~ 'E'(s(0), f(suc(suc(suc(X_446))))) |
% 1.93/2.11 'E'(0, f(suc(suc(suc(X_446))))) | 'LE'(f(X_446), 0) |
% 1.93/2.11 'LE'(f(suc(suc(suc(X_446)))), s(0))),
% 1.93/2.11 inference(resolve, [$cnf('E'(s(0), f(suc(suc(suc(suc(X_446)))))))],
% 1.93/2.11 [refute_0_157, refute_0_202])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_204, plain,
% 1.93/2.11 (~ 'E'(s(0), f(suc(suc(suc(X_447))))) |
% 1.93/2.11 'E'(0, f(suc(suc(suc(X_447))))) | 'LE'(f(X_447), 0) |
% 1.93/2.11 'LE'(f(suc(suc(suc(X_447)))), s(0))),
% 1.93/2.11 inference(subst, [], [refute_0_203 : [bind(X_446, $fot(X_447))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_205, plain,
% 1.93/2.11 ('E'(0, f(suc(suc(suc(X_447))))) | 'LE'(f(X_447), 0) |
% 1.93/2.11 'LE'(f(suc(suc(suc(X_447)))), s(0))),
% 1.93/2.11 inference(resolve, [$cnf('E'(s(0), f(suc(suc(suc(X_447))))))],
% 1.93/2.11 [refute_0_156, refute_0_204])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_206, plain,
% 1.93/2.11 ('E'(0, f(suc(suc(suc(X_448))))) | 'LE'(f(X_448), 0) |
% 1.93/2.11 'LE'(f(suc(suc(suc(X_448)))), s(0))),
% 1.93/2.11 inference(subst, [], [refute_0_205 : [bind(X_447, $fot(X_448))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_207, plain,
% 1.93/2.11 ('E'(0, f(suc(suc(suc(X_448))))) | 'LE'(f(X_448), 0)),
% 1.93/2.11 inference(resolve, [$cnf('LE'(f(suc(suc(suc(X_448)))), s(0)))],
% 1.93/2.11 [refute_0_206, refute_0_152])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_208, plain, ('E'(0, f(suc(suc(suc(z))))) | 'LE'(f(z), 0)),
% 1.93/2.11 inference(subst, [], [refute_0_207 : [bind(X_448, $fot(z))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_209, plain,
% 1.93/2.11 (~ 'E'(0, f(suc(suc(suc(z))))) | ~ 'E'(0, f(suc(suc(z)))) |
% 1.93/2.11 ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) | ~ 'E'(f(z), f(suc(suc(z)))) |
% 1.93/2.11 ~ 'E'(f(z), f(suc(z))) | ~ iLEQ(suc(z), suc(z))),
% 1.93/2.11 inference(subst, [],
% 1.93/2.11 [clause_167 : [bind(A_2, $fot(z)), bind(B_6, $fot(z))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_210, plain,
% 1.93/2.11 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 1.93/2.11 ~ 'E'(f(z), f(suc(z))) | ~ iLEQ(suc(z), suc(z)) |
% 1.93/2.11 'E'(f(z), f(suc(suc(z))))),
% 1.93/2.11 inference(subst, [],
% 1.93/2.11 [clause_78 : [bind(A_2, $fot(z)), bind(B_6, $fot(z))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_211, plain,
% 1.93/2.11 (~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) | ~ iLEQ(suc(z), suc(z)) |
% 1.93/2.11 'E'(f(z), f(suc(z)))),
% 1.93/2.11 inference(subst, [],
% 1.93/2.11 [clause_55 : [bind(A_2, $fot(z)), bind(B_6, $fot(z))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_212, plain,
% 1.93/2.11 (~ 'LE'(f(X_134), s(0)) | 'E'(0, f(X_134)) | 'LE'(f(X_134), 0)),
% 1.93/2.11 inference(subst, [], [clause_109 : [bind(B_5, $fot(X_134))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_213, plain, ('E'(s(0), f(X_5)) | 'LE'(f(X_5), s(0))),
% 1.93/2.11 inference(subst, [], [refute_0_2 : [bind(B_2, $fot(X_5))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_214, plain,
% 1.93/2.11 (~ 'LE'(f(X_5), s(0)) | 'E'(0, f(X_5)) | 'LE'(f(X_5), 0)),
% 1.93/2.11 inference(subst, [], [clause_109 : [bind(B_5, $fot(X_5))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_215, plain,
% 1.93/2.11 ('E'(0, f(X_5)) | 'E'(s(0), f(X_5)) | 'LE'(f(X_5), 0)),
% 1.93/2.11 inference(resolve, [$cnf('LE'(f(X_5), s(0)))],
% 1.93/2.11 [refute_0_213, refute_0_214])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_216, plain,
% 1.93/2.11 ('E'(0, f(X_133)) | 'E'(s(0), f(X_133)) | 'LE'(f(X_133), 0)),
% 1.93/2.11 inference(subst, [], [refute_0_215 : [bind(X_5, $fot(X_133))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_217, plain,
% 1.93/2.11 ('E'(0, f(X_120)) | 'E'(s(0), f(X_120)) | 'LE'(f(X_120), 0)),
% 1.93/2.11 inference(subst, [], [refute_0_215 : [bind(X_5, $fot(X_120))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_218, plain, ('E'(s(0), f(suc(X_119))) | 'LE'(f(X_119), s(0))),
% 1.93/2.11 inference(subst, [], [refute_0_8 : [bind(B_2, $fot(X_119))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_219, plain,
% 1.93/2.11 ('E'(0, f(X_17)) | 'E'(s(0), f(X_17)) | 'LE'(f(X_17), 0)),
% 1.93/2.11 inference(subst, [], [refute_0_215 : [bind(X_5, $fot(X_17))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_220, plain,
% 1.93/2.11 (~ 'E'(s(0), f(X_17)) | 'E'(f(X_17), f(suc(X_17))) |
% 1.93/2.11 'LE'(f(X_17), s(0)) | iLEQ(suc(X_17), suc(X_17))),
% 1.93/2.11 inference(subst, [], [refute_0_14 : [bind(X_14, $fot(X_17))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_221, plain,
% 1.93/2.11 ('E'(0, f(X_17)) | 'E'(f(X_17), f(suc(X_17))) | 'LE'(f(X_17), 0) |
% 1.93/2.11 'LE'(f(X_17), s(0)) | iLEQ(suc(X_17), suc(X_17))),
% 1.93/2.11 inference(resolve, [$cnf('E'(s(0), f(X_17)))],
% 1.93/2.11 [refute_0_219, refute_0_220])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_222, plain,
% 1.93/2.11 ('E'(0, f(X_118)) | 'E'(f(X_118), f(suc(X_118))) | 'LE'(f(X_118), 0) |
% 1.93/2.11 'LE'(f(X_118), s(0)) | iLEQ(suc(X_118), suc(X_118))),
% 1.93/2.11 inference(subst, [], [refute_0_221 : [bind(X_17, $fot(X_118))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_223, plain,
% 1.93/2.11 ('E'(0, f(X_73)) | 'E'(s(0), f(X_73)) | 'LE'(f(X_73), 0)),
% 1.93/2.11 inference(subst, [], [refute_0_215 : [bind(X_5, $fot(X_73))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_224, plain,
% 1.93/2.11 ('E'(0, f(X_39)) | 'E'(f(X_39), f(suc(X_39))) | 'LE'(f(X_39), 0) |
% 1.93/2.11 'LE'(f(X_39), s(0)) | iLEQ(suc(X_39), suc(X_39))),
% 1.93/2.11 inference(subst, [], [refute_0_221 : [bind(X_17, $fot(X_39))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_225, plain,
% 1.93/2.11 (~ 'E'(f(X_39), f(suc(X_39))) | ~ 'E'(s(0), f(X_39)) |
% 1.93/2.11 'E'(f(X_39), f(suc(suc(X_39)))) | 'LE'(f(X_39), s(0)) |
% 1.93/2.11 iLEQ(suc(X_39), suc(X_39))),
% 1.93/2.11 inference(subst, [], [refute_0_35 : [bind(X_38, $fot(X_39))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_226, plain,
% 1.93/2.11 (~ 'E'(s(0), f(X_39)) | 'E'(0, f(X_39)) |
% 1.93/2.11 'E'(f(X_39), f(suc(suc(X_39)))) | 'LE'(f(X_39), 0) |
% 1.93/2.11 'LE'(f(X_39), s(0)) | iLEQ(suc(X_39), suc(X_39))),
% 1.93/2.11 inference(resolve, [$cnf('E'(f(X_39), f(suc(X_39))))],
% 1.93/2.11 [refute_0_224, refute_0_225])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_227, plain,
% 1.93/2.11 (~ 'E'(s(0), f(X_73)) | 'E'(0, f(X_73)) |
% 1.93/2.11 'E'(f(X_73), f(suc(suc(X_73)))) | 'LE'(f(X_73), 0) |
% 1.93/2.11 'LE'(f(X_73), s(0)) | iLEQ(suc(X_73), suc(X_73))),
% 1.93/2.11 inference(subst, [], [refute_0_226 : [bind(X_39, $fot(X_73))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_228, plain,
% 1.93/2.11 ('E'(0, f(X_73)) | 'E'(f(X_73), f(suc(suc(X_73)))) | 'LE'(f(X_73), 0) |
% 1.93/2.11 'LE'(f(X_73), s(0)) | iLEQ(suc(X_73), suc(X_73))),
% 1.93/2.11 inference(resolve, [$cnf('E'(s(0), f(X_73)))],
% 1.93/2.11 [refute_0_223, refute_0_227])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_229, plain,
% 1.93/2.11 ('E'(0, f(X_82)) | 'E'(f(X_82), f(suc(suc(X_82)))) | 'LE'(f(X_82), 0) |
% 1.93/2.11 'LE'(f(X_82), s(0)) | iLEQ(suc(X_82), suc(X_82))),
% 1.93/2.11 inference(subst, [], [refute_0_228 : [bind(X_73, $fot(X_82))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_230, plain,
% 1.93/2.11 (~ 'E'(f(X_82), f(suc(X_82))) | ~ 'E'(f(X_82), f(suc(suc(X_82)))) |
% 1.93/2.11 ~ 'E'(s(0), f(X_82)) | ~ 'E'(s(0), f(suc(X_82))) |
% 1.93/2.11 'LE'(f(X_82), s(0)) | iLEQ(suc(X_82), suc(X_82))),
% 1.93/2.11 inference(subst, [], [refute_0_27 : [bind(X_81, $fot(X_82))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_231, plain,
% 1.93/2.11 (~ 'E'(f(X_82), f(suc(X_82))) | ~ 'E'(s(0), f(X_82)) |
% 1.93/2.11 ~ 'E'(s(0), f(suc(X_82))) | 'E'(0, f(X_82)) | 'LE'(f(X_82), 0) |
% 1.93/2.11 'LE'(f(X_82), s(0)) | iLEQ(suc(X_82), suc(X_82))),
% 1.93/2.11 inference(resolve, [$cnf('E'(f(X_82), f(suc(suc(X_82)))))],
% 1.93/2.11 [refute_0_229, refute_0_230])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_232, plain,
% 1.93/2.11 (~ 'E'(f(X_118), f(suc(X_118))) | ~ 'E'(s(0), f(X_118)) |
% 1.93/2.11 ~ 'E'(s(0), f(suc(X_118))) | 'E'(0, f(X_118)) | 'LE'(f(X_118), 0) |
% 1.93/2.11 'LE'(f(X_118), s(0)) | iLEQ(suc(X_118), suc(X_118))),
% 1.93/2.11 inference(subst, [], [refute_0_231 : [bind(X_82, $fot(X_118))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_233, plain,
% 1.93/2.11 (~ 'E'(s(0), f(X_118)) | ~ 'E'(s(0), f(suc(X_118))) |
% 1.93/2.11 'E'(0, f(X_118)) | 'LE'(f(X_118), 0) | 'LE'(f(X_118), s(0)) |
% 1.93/2.11 iLEQ(suc(X_118), suc(X_118))),
% 1.93/2.11 inference(resolve, [$cnf('E'(f(X_118), f(suc(X_118))))],
% 1.93/2.11 [refute_0_222, refute_0_232])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_234, plain,
% 1.93/2.11 (~ 'E'(s(0), f(X_119)) | ~ 'E'(s(0), f(suc(X_119))) |
% 1.93/2.11 'E'(0, f(X_119)) | 'LE'(f(X_119), 0) | 'LE'(f(X_119), s(0)) |
% 1.93/2.11 iLEQ(suc(X_119), suc(X_119))),
% 1.93/2.11 inference(subst, [], [refute_0_233 : [bind(X_118, $fot(X_119))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_235, plain,
% 1.93/2.11 (~ 'E'(s(0), f(X_119)) | 'E'(0, f(X_119)) | 'LE'(f(X_119), 0) |
% 1.93/2.11 'LE'(f(X_119), s(0)) | iLEQ(suc(X_119), suc(X_119))),
% 1.93/2.11 inference(resolve, [$cnf('E'(s(0), f(suc(X_119))))],
% 1.93/2.11 [refute_0_218, refute_0_234])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_236, plain,
% 1.93/2.11 (~ 'E'(s(0), f(X_120)) | 'E'(0, f(X_120)) | 'LE'(f(X_120), 0) |
% 1.93/2.11 'LE'(f(X_120), s(0)) | iLEQ(suc(X_120), suc(X_120))),
% 1.93/2.11 inference(subst, [], [refute_0_235 : [bind(X_119, $fot(X_120))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_237, plain,
% 1.93/2.11 ('E'(0, f(X_120)) | 'LE'(f(X_120), 0) | 'LE'(f(X_120), s(0)) |
% 1.93/2.11 iLEQ(suc(X_120), suc(X_120))),
% 1.93/2.11 inference(resolve, [$cnf('E'(s(0), f(X_120)))],
% 1.93/2.11 [refute_0_217, refute_0_236])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_238, plain,
% 1.93/2.11 ('E'(0, f(X_132)) | 'LE'(f(X_132), 0) | 'LE'(f(X_132), s(0)) |
% 1.93/2.11 iLEQ(suc(X_132), suc(X_132))),
% 1.93/2.11 inference(subst, [], [refute_0_237 : [bind(X_120, $fot(X_132))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_239, plain, ('E'(s(0), f(suc(X_131))) | 'LE'(f(X_131), s(0))),
% 1.93/2.11 inference(subst, [], [refute_0_8 : [bind(B_2, $fot(X_131))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_240, plain,
% 1.93/2.11 ('E'(0, f(X_122)) | 'E'(s(0), f(X_122)) | 'LE'(f(X_122), 0)),
% 1.93/2.11 inference(subst, [], [refute_0_215 : [bind(X_5, $fot(X_122))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_241, plain,
% 1.93/2.11 (~ 'E'(s(0), f(X_121)) | ~ iLEQ(suc(X_121), suc(X_121)) |
% 1.93/2.11 'E'(f(X_121), f(suc(X_121))) | 'LE'(f(X_121), s(0))),
% 1.93/2.11 inference(subst, [], [refute_0_53 : [bind(X_15, $fot(X_121))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_242, plain,
% 1.93/2.11 ('E'(0, f(X_121)) | 'LE'(f(X_121), 0) | 'LE'(f(X_121), s(0)) |
% 1.93/2.11 iLEQ(suc(X_121), suc(X_121))),
% 1.93/2.11 inference(subst, [], [refute_0_237 : [bind(X_120, $fot(X_121))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_243, plain,
% 1.93/2.11 (~ 'E'(s(0), f(X_121)) | 'E'(0, f(X_121)) |
% 1.93/2.11 'E'(f(X_121), f(suc(X_121))) | 'LE'(f(X_121), 0) |
% 1.93/2.11 'LE'(f(X_121), s(0))),
% 1.93/2.11 inference(resolve, [$cnf(iLEQ(suc(X_121), suc(X_121)))],
% 1.93/2.11 [refute_0_242, refute_0_241])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_244, plain,
% 1.93/2.11 (~ 'E'(s(0), f(X_122)) | 'E'(0, f(X_122)) |
% 1.93/2.11 'E'(f(X_122), f(suc(X_122))) | 'LE'(f(X_122), 0) |
% 1.93/2.11 'LE'(f(X_122), s(0))),
% 1.93/2.11 inference(subst, [], [refute_0_243 : [bind(X_121, $fot(X_122))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_245, plain,
% 1.93/2.11 ('E'(0, f(X_122)) | 'E'(f(X_122), f(suc(X_122))) | 'LE'(f(X_122), 0) |
% 1.93/2.11 'LE'(f(X_122), s(0))),
% 1.93/2.11 inference(resolve, [$cnf('E'(s(0), f(X_122)))],
% 1.93/2.11 [refute_0_240, refute_0_244])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_246, plain,
% 1.93/2.11 ('E'(0, f(X_130)) | 'E'(f(X_130), f(suc(X_130))) | 'LE'(f(X_130), 0) |
% 1.93/2.11 'LE'(f(X_130), s(0))),
% 1.93/2.11 inference(subst, [], [refute_0_245 : [bind(X_122, $fot(X_130))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_247, plain,
% 1.93/2.11 (~ 'E'(f(X_126), f(suc(X_126))) | ~ 'E'(f(X_126), f(suc(suc(X_126)))) |
% 1.93/2.11 ~ 'E'(s(0), f(X_126)) | ~ 'E'(s(0), f(suc(X_126))) |
% 1.93/2.11 ~ iLEQ(suc(X_126), suc(X_126)) | 'LE'(f(X_126), s(0))),
% 1.93/2.11 inference(subst, [], [refute_0_65 : [bind(X_83, $fot(X_126))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_248, plain,
% 1.93/2.11 ('E'(0, f(X_125)) | 'E'(s(0), f(X_125)) | 'LE'(f(X_125), 0)),
% 1.93/2.11 inference(subst, [], [refute_0_215 : [bind(X_5, $fot(X_125))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_249, plain,
% 1.93/2.11 ('E'(0, f(X_124)) | 'LE'(f(X_124), 0) | 'LE'(f(X_124), s(0)) |
% 1.93/2.11 iLEQ(suc(X_124), suc(X_124))),
% 1.93/2.11 inference(subst, [], [refute_0_237 : [bind(X_120, $fot(X_124))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_250, plain,
% 1.93/2.11 (~ 'E'(f(X_123), f(suc(X_123))) | ~ 'E'(s(0), f(X_123)) |
% 1.93/2.11 ~ iLEQ(suc(X_123), suc(X_123)) | 'E'(f(X_123), f(suc(suc(X_123)))) |
% 1.93/2.11 'LE'(f(X_123), s(0))),
% 1.93/2.11 inference(subst, [], [refute_0_74 : [bind(X_40, $fot(X_123))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_251, plain,
% 1.93/2.11 ('E'(0, f(X_123)) | 'E'(f(X_123), f(suc(X_123))) | 'LE'(f(X_123), 0) |
% 1.93/2.11 'LE'(f(X_123), s(0))),
% 1.93/2.11 inference(subst, [], [refute_0_245 : [bind(X_122, $fot(X_123))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_252, plain,
% 1.93/2.11 (~ 'E'(s(0), f(X_123)) | ~ iLEQ(suc(X_123), suc(X_123)) |
% 1.93/2.11 'E'(0, f(X_123)) | 'E'(f(X_123), f(suc(suc(X_123)))) |
% 1.93/2.11 'LE'(f(X_123), 0) | 'LE'(f(X_123), s(0))),
% 1.93/2.11 inference(resolve, [$cnf('E'(f(X_123), f(suc(X_123))))],
% 1.93/2.11 [refute_0_251, refute_0_250])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_253, plain,
% 1.93/2.11 (~ 'E'(s(0), f(X_124)) | ~ iLEQ(suc(X_124), suc(X_124)) |
% 1.93/2.11 'E'(0, f(X_124)) | 'E'(f(X_124), f(suc(suc(X_124)))) |
% 1.93/2.11 'LE'(f(X_124), 0) | 'LE'(f(X_124), s(0))),
% 1.93/2.11 inference(subst, [], [refute_0_252 : [bind(X_123, $fot(X_124))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_254, plain,
% 1.93/2.11 (~ 'E'(s(0), f(X_124)) | 'E'(0, f(X_124)) |
% 1.93/2.11 'E'(f(X_124), f(suc(suc(X_124)))) | 'LE'(f(X_124), 0) |
% 1.93/2.11 'LE'(f(X_124), s(0))),
% 1.93/2.11 inference(resolve, [$cnf(iLEQ(suc(X_124), suc(X_124)))],
% 1.93/2.11 [refute_0_249, refute_0_253])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_255, plain,
% 1.93/2.11 (~ 'E'(s(0), f(X_125)) | 'E'(0, f(X_125)) |
% 1.93/2.11 'E'(f(X_125), f(suc(suc(X_125)))) | 'LE'(f(X_125), 0) |
% 1.93/2.11 'LE'(f(X_125), s(0))),
% 1.93/2.11 inference(subst, [], [refute_0_254 : [bind(X_124, $fot(X_125))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_256, plain,
% 1.93/2.11 ('E'(0, f(X_125)) | 'E'(f(X_125), f(suc(suc(X_125)))) |
% 1.93/2.11 'LE'(f(X_125), 0) | 'LE'(f(X_125), s(0))),
% 1.93/2.11 inference(resolve, [$cnf('E'(s(0), f(X_125)))],
% 1.93/2.11 [refute_0_248, refute_0_255])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_257, plain,
% 1.93/2.11 ('E'(0, f(X_126)) | 'E'(f(X_126), f(suc(suc(X_126)))) |
% 1.93/2.11 'LE'(f(X_126), 0) | 'LE'(f(X_126), s(0))),
% 1.93/2.11 inference(subst, [], [refute_0_256 : [bind(X_125, $fot(X_126))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_258, plain,
% 1.93/2.11 (~ 'E'(f(X_126), f(suc(X_126))) | ~ 'E'(s(0), f(X_126)) |
% 1.93/2.11 ~ 'E'(s(0), f(suc(X_126))) | ~ iLEQ(suc(X_126), suc(X_126)) |
% 1.93/2.11 'E'(0, f(X_126)) | 'LE'(f(X_126), 0) | 'LE'(f(X_126), s(0))),
% 1.93/2.11 inference(resolve, [$cnf('E'(f(X_126), f(suc(suc(X_126)))))],
% 1.93/2.11 [refute_0_257, refute_0_247])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_259, plain,
% 1.93/2.11 (~ 'E'(f(X_130), f(suc(X_130))) | ~ 'E'(s(0), f(X_130)) |
% 1.93/2.11 ~ 'E'(s(0), f(suc(X_130))) | ~ iLEQ(suc(X_130), suc(X_130)) |
% 1.93/2.11 'E'(0, f(X_130)) | 'LE'(f(X_130), 0) | 'LE'(f(X_130), s(0))),
% 1.93/2.11 inference(subst, [], [refute_0_258 : [bind(X_126, $fot(X_130))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_260, plain,
% 1.93/2.11 (~ 'E'(s(0), f(X_130)) | ~ 'E'(s(0), f(suc(X_130))) |
% 1.93/2.11 ~ iLEQ(suc(X_130), suc(X_130)) | 'E'(0, f(X_130)) |
% 1.93/2.11 'LE'(f(X_130), 0) | 'LE'(f(X_130), s(0))),
% 1.93/2.11 inference(resolve, [$cnf('E'(f(X_130), f(suc(X_130))))],
% 1.93/2.11 [refute_0_246, refute_0_259])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_261, plain,
% 1.93/2.11 (~ 'E'(s(0), f(X_131)) | ~ 'E'(s(0), f(suc(X_131))) |
% 1.93/2.11 ~ iLEQ(suc(X_131), suc(X_131)) | 'E'(0, f(X_131)) |
% 1.93/2.11 'LE'(f(X_131), 0) | 'LE'(f(X_131), s(0))),
% 1.93/2.11 inference(subst, [], [refute_0_260 : [bind(X_130, $fot(X_131))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_262, plain,
% 1.93/2.11 (~ 'E'(s(0), f(X_131)) | ~ iLEQ(suc(X_131), suc(X_131)) |
% 1.93/2.11 'E'(0, f(X_131)) | 'LE'(f(X_131), 0) | 'LE'(f(X_131), s(0))),
% 1.93/2.11 inference(resolve, [$cnf('E'(s(0), f(suc(X_131))))],
% 1.93/2.11 [refute_0_239, refute_0_261])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_263, plain,
% 1.93/2.11 (~ 'E'(s(0), f(X_132)) | ~ iLEQ(suc(X_132), suc(X_132)) |
% 1.93/2.11 'E'(0, f(X_132)) | 'LE'(f(X_132), 0) | 'LE'(f(X_132), s(0))),
% 1.93/2.11 inference(subst, [], [refute_0_262 : [bind(X_131, $fot(X_132))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_264, plain,
% 1.93/2.11 (~ 'E'(s(0), f(X_132)) | 'E'(0, f(X_132)) | 'LE'(f(X_132), 0) |
% 1.93/2.11 'LE'(f(X_132), s(0))),
% 1.93/2.11 inference(resolve, [$cnf(iLEQ(suc(X_132), suc(X_132)))],
% 1.93/2.11 [refute_0_238, refute_0_263])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_265, plain,
% 1.93/2.11 (~ 'E'(s(0), f(X_133)) | 'E'(0, f(X_133)) | 'LE'(f(X_133), 0) |
% 1.93/2.11 'LE'(f(X_133), s(0))),
% 1.93/2.11 inference(subst, [], [refute_0_264 : [bind(X_132, $fot(X_133))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_266, plain,
% 1.93/2.11 ('E'(0, f(X_133)) | 'LE'(f(X_133), 0) | 'LE'(f(X_133), s(0))),
% 1.93/2.11 inference(resolve, [$cnf('E'(s(0), f(X_133)))],
% 1.93/2.11 [refute_0_216, refute_0_265])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_267, plain,
% 1.93/2.11 ('E'(0, f(X_134)) | 'LE'(f(X_134), 0) | 'LE'(f(X_134), s(0))),
% 1.93/2.11 inference(subst, [], [refute_0_266 : [bind(X_133, $fot(X_134))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_268, plain, ('E'(0, f(X_134)) | 'LE'(f(X_134), 0)),
% 1.93/2.11 inference(resolve, [$cnf('LE'(f(X_134), s(0)))],
% 1.93/2.11 [refute_0_267, refute_0_212])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_269, plain, ('E'(0, f(z)) | 'LE'(f(z), 0)),
% 1.93/2.11 inference(subst, [], [refute_0_268 : [bind(X_134, $fot(z))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_270, plain, ('E'(0, f(z))),
% 1.93/2.11 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_269, clause_87])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_271, plain,
% 1.93/2.11 (~ 'E'(0, f(X_247)) | ~ 'E'(0, f(suc(X_247))) |
% 1.93/2.11 'E'(f(X_247), f(suc(X_247))) | iLEQ(suc(X_247), suc(X_247))),
% 1.93/2.11 inference(subst, [], [clause_93 : [bind(A_2, $fot(X_247))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_272, plain, ('E'(0, f(suc(X_247))) | 'LE'(f(X_247), 0)),
% 1.93/2.11 inference(subst, [], [refute_0_93 : [bind(X_246, $fot(X_247))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_273, plain,
% 1.93/2.11 (~ 'E'(0, f(X_247)) | 'E'(f(X_247), f(suc(X_247))) |
% 1.93/2.11 'LE'(f(X_247), 0) | iLEQ(suc(X_247), suc(X_247))),
% 1.93/2.11 inference(resolve, [$cnf('E'(0, f(suc(X_247))))],
% 1.93/2.11 [refute_0_272, refute_0_271])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_274, plain,
% 1.93/2.11 (~ 'E'(0, f(z)) | 'E'(f(z), f(suc(z))) | 'LE'(f(z), 0) |
% 1.93/2.11 iLEQ(suc(z), suc(z))),
% 1.93/2.11 inference(subst, [], [refute_0_273 : [bind(X_247, $fot(z))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_275, plain,
% 1.93/2.11 ('E'(f(z), f(suc(z))) | 'LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 1.93/2.11 inference(resolve, [$cnf('E'(0, f(z)))],
% 1.93/2.11 [refute_0_270, refute_0_274])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_276, plain, ('E'(f(z), f(suc(z))) | iLEQ(suc(z), suc(z))),
% 1.93/2.11 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_275, clause_87])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_277, plain,
% 1.93/2.11 (~ 'E'(0, f(suc(suc(suc(z))))) | ~ 'E'(0, f(suc(suc(z)))) |
% 1.93/2.11 ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) | ~ 'E'(f(z), f(suc(suc(z)))) |
% 1.93/2.11 ~ 'E'(f(z), f(suc(z))) | iLEQ(suc(z), suc(z))),
% 1.93/2.11 inference(subst, [], [clause_139 : [bind(A_2, $fot(z))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_278, plain,
% 1.93/2.11 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 1.93/2.11 ~ 'E'(f(z), f(suc(z))) | 'E'(f(z), f(suc(suc(z)))) |
% 1.93/2.11 iLEQ(suc(z), suc(z))),
% 1.93/2.11 inference(subst, [], [clause_4 : [bind(A_2, $fot(z))]])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_279, plain,
% 1.93/2.11 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 1.93/2.11 'E'(f(z), f(suc(suc(z)))) | iLEQ(suc(z), suc(z))),
% 1.93/2.11 inference(resolve, [$cnf('E'(f(z), f(suc(z))))],
% 1.93/2.11 [refute_0_276, refute_0_278])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_280, plain,
% 1.93/2.11 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) |
% 1.93/2.11 'E'(f(z), f(suc(suc(z)))) | iLEQ(suc(z), suc(z))),
% 1.93/2.11 inference(resolve, [$cnf('E'(0, f(z)))],
% 1.93/2.11 [refute_0_270, refute_0_279])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_281, plain,
% 1.93/2.11 (~ 'E'(0, f(suc(z))) | 'E'(f(z), f(suc(suc(z)))) | 'LE'(f(z), 0) |
% 1.93/2.11 iLEQ(suc(z), suc(z))),
% 1.93/2.11 inference(resolve, [$cnf('E'(0, f(suc(suc(z)))))],
% 1.93/2.11 [refute_0_151, refute_0_280])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_282, plain,
% 1.93/2.11 (~ 'E'(0, f(suc(z))) | 'E'(f(z), f(suc(suc(z)))) |
% 1.93/2.11 iLEQ(suc(z), suc(z))),
% 1.93/2.11 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_281, clause_87])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_283, plain,
% 1.93/2.11 ('E'(f(z), f(suc(suc(z)))) | 'LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 1.93/2.11 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 1.93/2.11 [refute_0_94, refute_0_282])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_284, plain,
% 1.93/2.11 ('E'(f(z), f(suc(suc(z)))) | iLEQ(suc(z), suc(z))),
% 1.93/2.11 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_283, clause_87])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_285, plain,
% 1.93/2.11 (~ 'E'(0, f(suc(suc(suc(z))))) | ~ 'E'(0, f(suc(suc(z)))) |
% 1.93/2.11 ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) | ~ 'E'(f(z), f(suc(z))) |
% 1.93/2.11 iLEQ(suc(z), suc(z))),
% 1.93/2.11 inference(resolve, [$cnf('E'(f(z), f(suc(suc(z)))))],
% 1.93/2.11 [refute_0_284, refute_0_277])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_286, plain,
% 1.93/2.11 (~ 'E'(0, f(suc(suc(suc(z))))) | ~ 'E'(0, f(suc(suc(z)))) |
% 1.93/2.11 ~ 'E'(0, f(suc(z))) | ~ 'E'(f(z), f(suc(z))) | iLEQ(suc(z), suc(z))),
% 1.93/2.11 inference(resolve, [$cnf('E'(0, f(z)))],
% 1.93/2.11 [refute_0_270, refute_0_285])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_287, plain,
% 1.93/2.11 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) |
% 1.93/2.11 ~ 'E'(f(z), f(suc(z))) | 'LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 1.93/2.11 inference(resolve, [$cnf('E'(0, f(suc(suc(suc(z))))))],
% 1.93/2.11 [refute_0_208, refute_0_286])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_288, plain,
% 1.93/2.11 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) |
% 1.93/2.11 ~ 'E'(f(z), f(suc(z))) | iLEQ(suc(z), suc(z))),
% 1.93/2.11 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_287, clause_87])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_289, plain,
% 1.93/2.11 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) |
% 1.93/2.11 iLEQ(suc(z), suc(z))),
% 1.93/2.11 inference(resolve, [$cnf('E'(f(z), f(suc(z))))],
% 1.93/2.11 [refute_0_276, refute_0_288])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_290, plain,
% 1.93/2.11 (~ 'E'(0, f(suc(z))) | 'LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 1.93/2.11 inference(resolve, [$cnf('E'(0, f(suc(suc(z)))))],
% 1.93/2.11 [refute_0_151, refute_0_289])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_291, plain, (~ 'E'(0, f(suc(z))) | iLEQ(suc(z), suc(z))),
% 1.93/2.11 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_290, clause_87])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_292, plain, ('LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 1.93/2.11 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 1.93/2.11 [refute_0_94, refute_0_291])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_293, plain, (iLEQ(suc(z), suc(z))),
% 1.93/2.11 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_292, clause_87])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_294, plain,
% 1.93/2.11 (~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) | 'E'(f(z), f(suc(z)))),
% 1.93/2.11 inference(resolve, [$cnf(iLEQ(suc(z), suc(z)))],
% 1.93/2.11 [refute_0_293, refute_0_211])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_295, plain, (~ 'E'(0, f(suc(z))) | 'E'(f(z), f(suc(z)))),
% 1.93/2.11 inference(resolve, [$cnf('E'(0, f(z)))],
% 1.93/2.11 [refute_0_270, refute_0_294])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_296, plain, ('E'(f(z), f(suc(z))) | 'LE'(f(z), 0)),
% 1.93/2.11 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 1.93/2.11 [refute_0_94, refute_0_295])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_297, plain, ('E'(f(z), f(suc(z)))),
% 1.93/2.11 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_296, clause_87])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_298, plain,
% 1.93/2.11 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 1.93/2.11 ~ iLEQ(suc(z), suc(z)) | 'E'(f(z), f(suc(suc(z))))),
% 1.93/2.11 inference(resolve, [$cnf('E'(f(z), f(suc(z))))],
% 1.93/2.11 [refute_0_297, refute_0_210])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_299, plain,
% 1.93/2.11 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) |
% 1.93/2.11 ~ iLEQ(suc(z), suc(z)) | 'E'(f(z), f(suc(suc(z))))),
% 1.93/2.11 inference(resolve, [$cnf('E'(0, f(z)))],
% 1.93/2.11 [refute_0_270, refute_0_298])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_300, plain,
% 1.93/2.11 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) |
% 1.93/2.11 'E'(f(z), f(suc(suc(z))))),
% 1.93/2.11 inference(resolve, [$cnf(iLEQ(suc(z), suc(z)))],
% 1.93/2.11 [refute_0_293, refute_0_299])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_301, plain,
% 1.93/2.11 (~ 'E'(0, f(suc(z))) | 'E'(f(z), f(suc(suc(z)))) | 'LE'(f(z), 0)),
% 1.93/2.11 inference(resolve, [$cnf('E'(0, f(suc(suc(z)))))],
% 1.93/2.11 [refute_0_151, refute_0_300])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_302, plain, (~ 'E'(0, f(suc(z))) | 'E'(f(z), f(suc(suc(z))))),
% 1.93/2.11 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_301, clause_87])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_303, plain, ('E'(f(z), f(suc(suc(z)))) | 'LE'(f(z), 0)),
% 1.93/2.11 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 1.93/2.11 [refute_0_94, refute_0_302])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_304, plain, ('E'(f(z), f(suc(suc(z))))),
% 1.93/2.11 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_303, clause_87])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_305, plain,
% 1.93/2.11 (~ 'E'(0, f(suc(suc(suc(z))))) | ~ 'E'(0, f(suc(suc(z)))) |
% 1.93/2.11 ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) | ~ 'E'(f(z), f(suc(z))) |
% 1.93/2.11 ~ iLEQ(suc(z), suc(z))),
% 1.93/2.11 inference(resolve, [$cnf('E'(f(z), f(suc(suc(z)))))],
% 1.93/2.11 [refute_0_304, refute_0_209])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_306, plain,
% 1.93/2.11 (~ 'E'(0, f(suc(suc(suc(z))))) | ~ 'E'(0, f(suc(suc(z)))) |
% 1.93/2.11 ~ 'E'(0, f(suc(z))) | ~ 'E'(f(z), f(suc(z))) |
% 1.93/2.11 ~ iLEQ(suc(z), suc(z))),
% 1.93/2.11 inference(resolve, [$cnf('E'(0, f(z)))],
% 1.93/2.11 [refute_0_270, refute_0_305])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_307, plain,
% 1.93/2.11 (~ 'E'(0, f(suc(suc(suc(z))))) | ~ 'E'(0, f(suc(suc(z)))) |
% 1.93/2.11 ~ 'E'(0, f(suc(z))) | ~ iLEQ(suc(z), suc(z))),
% 1.93/2.11 inference(resolve, [$cnf('E'(f(z), f(suc(z))))],
% 1.93/2.11 [refute_0_297, refute_0_306])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_308, plain,
% 1.93/2.11 (~ 'E'(0, f(suc(suc(suc(z))))) | ~ 'E'(0, f(suc(suc(z)))) |
% 1.93/2.11 ~ 'E'(0, f(suc(z)))),
% 1.93/2.11 inference(resolve, [$cnf(iLEQ(suc(z), suc(z)))],
% 1.93/2.11 [refute_0_293, refute_0_307])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_309, plain,
% 1.93/2.11 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | 'LE'(f(z), 0)),
% 1.93/2.11 inference(resolve, [$cnf('E'(0, f(suc(suc(suc(z))))))],
% 1.93/2.11 [refute_0_208, refute_0_308])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_310, plain, (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z)))),
% 1.93/2.11 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_309, clause_87])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_311, plain, (~ 'E'(0, f(suc(z))) | 'LE'(f(z), 0)),
% 1.93/2.11 inference(resolve, [$cnf('E'(0, f(suc(suc(z)))))],
% 1.93/2.11 [refute_0_151, refute_0_310])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_312, plain, (~ 'E'(0, f(suc(z)))),
% 1.93/2.11 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_311, clause_87])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_313, plain, ('LE'(f(z), 0)),
% 1.93/2.11 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 1.93/2.11 [refute_0_94, refute_0_312])).
% 1.93/2.11
% 1.93/2.11 cnf(refute_0_314, plain, ($false),
% 1.93/2.11 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_313, clause_87])).
% 1.93/2.11 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.93/2.11
%------------------------------------------------------------------------------