TSTP Solution File: SYO671-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYO671-1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n027.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 18:40:47 EDT 2022
% Result : Unsatisfiable 0.60s 0.79s
% Output : CNFRefutation 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SYO671-1 : TPTP v8.1.0. Released v7.3.0.
% 0.12/0.14 % Command : metis --show proof --show saturation %s
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jul 9 09:34:31 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.60/0.79 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.79
% 0.60/0.79 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.80 cnf(clause_183, axiom,
% 0.60/0.80 (~ 'LE'(f(suc(B_16)), s(s(s(0)))) | 'E'(s(s(0)), f(suc(B_16))) |
% 0.60/0.80 'LE'(f(B_16), s(s(0))))).
% 0.60/0.80
% 0.60/0.80 cnf(clause_26, axiom,
% 0.60/0.80 (~ 'E'(s(s(0)), f(A_1)) | ~ 'E'(s(s(0)), f(suc(A_1))) |
% 0.60/0.80 'E'(f(A_1), f(suc(A_1))) | iLEQ(suc(A_1), suc(A_1)))).
% 0.60/0.80
% 0.60/0.80 cnf(clause_217, axiom,
% 0.60/0.80 (~ 'LE'(f(suc(suc(B_16))), s(s(s(0)))) |
% 0.60/0.80 'E'(s(s(0)), f(suc(suc(B_16)))) | 'LE'(f(B_16), s(s(0))))).
% 0.60/0.80
% 0.60/0.80 cnf(clause_20, axiom,
% 0.60/0.80 (~ 'E'(s(s(0)), f(A_1)) | ~ 'E'(s(s(0)), f(suc(B_17))) |
% 0.60/0.80 ~ 'E'(s(s(0)), f(B_17)) | ~ 'E'(s(s(0)), f(suc(suc(B_18)))) |
% 0.60/0.80 ~ 'E'(s(s(0)), f(suc(A_1))) | ~ iLEQ(suc(B_17), suc(B_18)) |
% 0.60/0.80 ~ 'E'(s(s(0)), f(B_18)) | ~ 'E'(f(B_18), f(suc(B_18))) |
% 0.60/0.80 ~ 'E'(f(A_1), f(suc(A_1))) | ~ 'E'(f(B_17), f(suc(B_17))) |
% 0.60/0.80 ~ iLEQ(suc(A_1), suc(B_17)) | ~ 'E'(s(s(0)), f(suc(suc(A_1)))) |
% 0.60/0.80 ~ 'E'(s(s(0)), f(suc(B_18))) | ~ 'E'(s(s(0)), f(suc(suc(B_17)))))).
% 0.60/0.80
% 0.60/0.80 cnf(clause_16, axiom,
% 0.60/0.80 (~ 'E'(0, f(B_36)) | ~ 'E'(0, f(suc(B_36))) | ~ 'E'(0, f(A_3)) |
% 0.60/0.80 ~ 'E'(0, f(suc(A_3))) | ~ 'E'(0, f(suc(B_37))) | ~ 'E'(0, f(B_37)) |
% 0.60/0.80 ~ iLEQ(suc(A_3), suc(B_36)) | ~ iLEQ(suc(B_36), suc(B_37)) |
% 0.60/0.80 'E'(f(A_3), f(suc(A_3))) | 'E'(f(B_36), f(suc(B_36))) |
% 0.60/0.80 'E'(f(B_37), f(suc(B_37))))).
% 0.60/0.80
% 0.60/0.80 cnf(clause_326, axiom,
% 0.60/0.80 (~ 'LE'(f(B_28), s(s(0))) | 'E'(s(0), f(B_28)) | 'LE'(f(B_28), s(0)))).
% 0.60/0.80
% 0.60/0.80 cnf(clause_421, axiom, ('LE'(f(A), s(s(s(0)))))).
% 0.60/0.80
% 0.60/0.80 cnf(clause_219, axiom,
% 0.60/0.80 (~ 'E'(s(0), f(B_30)) | ~ 'E'(s(0), f(suc(B_30))) |
% 0.60/0.80 ~ 'E'(s(0), f(suc(A_2))) | ~ iLEQ(suc(A_2), suc(B_29)) |
% 0.60/0.80 ~ 'E'(s(0), f(B_29)) | ~ iLEQ(suc(B_29), suc(B_30)) |
% 0.60/0.80 ~ 'E'(f(B_29), f(suc(B_29))) | ~ 'E'(s(0), f(suc(suc(B_29)))) |
% 0.60/0.80 ~ 'E'(s(0), f(suc(B_29))) | ~ 'E'(s(0), f(suc(suc(A_2)))) |
% 0.60/0.80 ~ 'E'(f(A_2), f(suc(A_2))) | ~ 'E'(f(B_30), f(suc(B_30))) |
% 0.60/0.80 ~ 'E'(s(0), f(A_2)) | ~ 'E'(s(0), f(suc(suc(B_30)))))).
% 0.60/0.80
% 0.60/0.80 cnf(clause_311, axiom,
% 0.60/0.80 (~ 'E'(s(s(0)), f(A_1)) | ~ 'E'(s(s(0)), f(suc(B_17))) |
% 0.60/0.80 ~ 'E'(s(s(0)), f(B_17)) | ~ 'E'(s(s(0)), f(suc(A_1))) |
% 0.60/0.80 ~ iLEQ(suc(B_17), suc(B_18)) | ~ 'E'(s(s(0)), f(B_18)) |
% 0.60/0.80 ~ iLEQ(suc(A_1), suc(B_17)) | ~ 'E'(s(s(0)), f(suc(B_18))) |
% 0.60/0.80 'E'(f(A_1), f(suc(A_1))) | 'E'(f(B_17), f(suc(B_17))) |
% 0.60/0.80 'E'(f(B_18), f(suc(B_18))))).
% 0.60/0.80
% 0.60/0.80 cnf(clause_83, axiom,
% 0.60/0.80 (~ 'E'(0, f(B_36)) | ~ 'E'(0, f(suc(suc(B_36)))) |
% 0.60/0.80 ~ 'E'(0, f(suc(suc(B_37)))) | ~ 'E'(0, f(suc(B_36))) |
% 0.60/0.80 ~ 'E'(0, f(A_3)) | ~ 'E'(0, f(suc(suc(A_3)))) |
% 0.60/0.80 ~ 'E'(f(B_36), f(suc(B_36))) | ~ 'E'(0, f(suc(A_3))) |
% 0.60/0.80 ~ 'E'(f(A_3), f(suc(A_3))) | ~ 'E'(0, f(suc(B_37))) |
% 0.60/0.80 ~ 'E'(0, f(B_37)) | ~ 'E'(f(B_37), f(suc(B_37))) |
% 0.60/0.80 ~ iLEQ(suc(A_3), suc(B_36)) | ~ iLEQ(suc(B_36), suc(B_37)))).
% 0.60/0.80
% 0.60/0.80 cnf(clause_37, axiom,
% 0.60/0.80 (~ 'E'(s(0), f(suc(suc(A_2)))) | ~ 'E'(s(0), f(suc(A_2))) |
% 0.60/0.80 ~ 'E'(f(A_2), f(suc(A_2))) | ~ 'E'(s(0), f(A_2)) |
% 0.60/0.80 iLEQ(suc(A_2), suc(A_2)))).
% 0.60/0.80
% 0.60/0.80 cnf(clause_86, axiom,
% 0.60/0.80 (~ 'E'(0, f(A_3)) | ~ 'E'(0, f(suc(A_3))) | 'E'(f(A_3), f(suc(A_3))) |
% 0.60/0.80 iLEQ(suc(A_3), suc(A_3)))).
% 0.60/0.80
% 0.60/0.80 cnf(clause_60, axiom,
% 0.60/0.80 (~ 'E'(s(0), f(A_2)) | ~ 'E'(s(0), f(suc(A_2))) |
% 0.60/0.80 'E'(f(A_2), f(suc(A_2))) | iLEQ(suc(A_2), suc(A_2)))).
% 0.60/0.80
% 0.60/0.80 cnf(clause_72, axiom,
% 0.60/0.80 (~ 'LE'(f(suc(suc(B_35))), s(0)) | 'E'(0, f(suc(suc(B_35)))) |
% 0.60/0.80 'LE'(f(B_35), 0))).
% 0.60/0.80
% 0.60/0.80 cnf(clause_91, axiom,
% 0.60/0.80 (~ 'E'(s(s(0)), f(suc(suc(A_1)))) | ~ 'E'(s(s(0)), f(suc(A_1))) |
% 0.60/0.80 ~ 'E'(f(A_1), f(suc(A_1))) | ~ 'E'(s(s(0)), f(A_1)) |
% 0.60/0.80 iLEQ(suc(A_1), suc(A_1)))).
% 0.60/0.80
% 0.60/0.80 cnf(clause_261, axiom,
% 0.60/0.80 (~ 'LE'(f(B_16), s(s(s(0)))) | 'E'(s(s(0)), f(B_16)) |
% 0.60/0.80 'LE'(f(B_16), s(s(0))))).
% 0.60/0.80
% 0.60/0.80 cnf(clause_116, axiom,
% 0.60/0.80 (~ 'E'(0, f(suc(suc(A_3)))) | ~ 'E'(0, f(suc(A_3))) |
% 0.60/0.80 ~ 'E'(f(A_3), f(suc(A_3))) | ~ 'E'(0, f(A_3)) |
% 0.60/0.80 iLEQ(suc(A_3), suc(A_3)))).
% 0.60/0.80
% 0.60/0.80 cnf(clause_340, axiom,
% 0.60/0.80 (~ 'E'(s(0), f(B_30)) | ~ 'E'(s(0), f(suc(B_30))) |
% 0.60/0.80 ~ 'E'(s(0), f(suc(A_2))) | ~ iLEQ(suc(A_2), suc(B_29)) |
% 0.60/0.80 ~ 'E'(s(0), f(B_29)) | ~ iLEQ(suc(B_29), suc(B_30)) |
% 0.60/0.80 ~ 'E'(s(0), f(suc(B_29))) | ~ 'E'(s(0), f(A_2)) |
% 0.60/0.80 'E'(f(A_2), f(suc(A_2))) | 'E'(f(B_29), f(suc(B_29))) |
% 0.60/0.80 'E'(f(B_30), f(suc(B_30))))).
% 0.60/0.80
% 0.60/0.80 cnf(clause_353, axiom,
% 0.60/0.80 (~ 'LE'(f(suc(B_35)), s(0)) | 'E'(0, f(suc(B_35))) |
% 0.60/0.80 'LE'(f(B_35), 0))).
% 0.60/0.80
% 0.60/0.80 cnf(clause_211, axiom, (~ 'LE'(f(z), 0))).
% 0.60/0.80
% 0.60/0.80 cnf(clause_138, axiom,
% 0.60/0.80 (~ 'LE'(f(suc(B_28)), s(s(0))) | 'E'(s(0), f(suc(B_28))) |
% 0.60/0.80 'LE'(f(B_28), s(0)))).
% 0.60/0.80
% 0.60/0.80 cnf(clause_307, axiom,
% 0.60/0.80 (~ 'LE'(f(B_35), s(0)) | 'E'(0, f(B_35)) | 'LE'(f(B_35), 0))).
% 0.60/0.80
% 0.60/0.80 cnf(clause_18, axiom,
% 0.60/0.80 (~ 'LE'(f(suc(suc(B_28))), s(s(0))) | 'E'(s(0), f(suc(suc(B_28)))) |
% 0.60/0.80 'LE'(f(B_28), s(0)))).
% 0.60/0.80
% 0.60/0.80 cnf(refute_0_0, plain,
% 0.60/0.80 (~ 'LE'(f(suc(X_223)), s(0)) | 'E'(0, f(suc(X_223))) |
% 0.60/0.80 'LE'(f(X_223), 0)),
% 0.60/0.80 inference(subst, [], [clause_353 : [bind(B_35, $fot(X_223))]])).
% 0.60/0.80
% 0.60/0.80 cnf(refute_0_1, plain,
% 0.60/0.80 (~ 'LE'(f(X_65), s(s(0))) | 'E'(s(0), f(X_65)) | 'LE'(f(X_65), s(0))),
% 0.60/0.80 inference(subst, [], [clause_326 : [bind(B_28, $fot(X_65))]])).
% 0.60/0.80
% 0.60/0.80 cnf(refute_0_2, plain,
% 0.60/0.80 (~ 'LE'(f(X_60), s(s(0))) | 'E'(s(0), f(X_60)) | 'LE'(f(X_60), s(0))),
% 0.60/0.80 inference(subst, [], [clause_326 : [bind(B_28, $fot(X_60))]])).
% 0.60/0.80
% 0.60/0.80 cnf(refute_0_3, plain, ('LE'(f(B_16), s(s(s(0))))),
% 0.60/0.80 inference(subst, [], [clause_421 : [bind(A, $fot(B_16))]])).
% 0.60/0.80
% 0.60/0.80 cnf(refute_0_4, plain, ('E'(s(s(0)), f(B_16)) | 'LE'(f(B_16), s(s(0)))),
% 0.60/0.80 inference(resolve, [$cnf('LE'(f(B_16), s(s(s(0)))))],
% 0.60/0.80 [refute_0_3, clause_261])).
% 0.60/0.80
% 0.60/0.80 cnf(refute_0_5, plain, ('E'(s(s(0)), f(X_5)) | 'LE'(f(X_5), s(s(0)))),
% 0.60/0.80 inference(subst, [], [refute_0_4 : [bind(B_16, $fot(X_5))]])).
% 0.60/0.80
% 0.60/0.80 cnf(refute_0_6, plain,
% 0.60/0.80 (~ 'LE'(f(X_5), s(s(0))) | 'E'(s(0), f(X_5)) | 'LE'(f(X_5), s(0))),
% 0.60/0.80 inference(subst, [], [clause_326 : [bind(B_28, $fot(X_5))]])).
% 0.60/0.80
% 0.60/0.80 cnf(refute_0_7, plain,
% 0.60/0.80 ('E'(s(0), f(X_5)) | 'E'(s(s(0)), f(X_5)) | 'LE'(f(X_5), s(0))),
% 0.60/0.80 inference(resolve, [$cnf('LE'(f(X_5), s(s(0))))],
% 0.60/0.80 [refute_0_5, refute_0_6])).
% 0.60/0.80
% 0.60/0.80 cnf(refute_0_8, plain,
% 0.60/0.80 ('E'(s(0), f(X_59)) | 'E'(s(s(0)), f(X_59)) | 'LE'(f(X_59), s(0))),
% 0.60/0.80 inference(subst, [], [refute_0_7 : [bind(X_5, $fot(X_59))]])).
% 0.60/0.80
% 0.60/0.80 cnf(refute_0_9, plain, ('LE'(f(suc(B_16)), s(s(s(0))))),
% 0.60/0.80 inference(subst, [], [clause_421 : [bind(A, $fot(suc(B_16)))]])).
% 0.60/0.80
% 0.60/0.80 cnf(refute_0_10, plain,
% 0.60/0.80 ('E'(s(s(0)), f(suc(B_16))) | 'LE'(f(B_16), s(s(0)))),
% 0.60/0.80 inference(resolve, [$cnf('LE'(f(suc(B_16)), s(s(s(0)))))],
% 0.60/0.80 [refute_0_9, clause_183])).
% 0.60/0.80
% 0.60/0.80 cnf(refute_0_11, plain,
% 0.60/0.80 ('E'(s(s(0)), f(suc(X_42))) | 'LE'(f(X_42), s(s(0)))),
% 0.60/0.80 inference(subst, [], [refute_0_10 : [bind(B_16, $fot(X_42))]])).
% 0.60/0.80
% 0.60/0.80 cnf(refute_0_12, plain, ('LE'(f(suc(suc(B_16))), s(s(s(0))))),
% 0.60/0.80 inference(subst, [], [clause_421 : [bind(A, $fot(suc(suc(B_16))))]])).
% 0.60/0.80
% 0.60/0.80 cnf(refute_0_13, plain,
% 0.60/0.80 ('E'(s(s(0)), f(suc(suc(B_16)))) | 'LE'(f(B_16), s(s(0)))),
% 0.60/0.80 inference(resolve, [$cnf('LE'(f(suc(suc(B_16))), s(s(s(0)))))],
% 0.60/0.80 [refute_0_12, clause_217])).
% 0.60/0.80
% 0.60/0.80 cnf(refute_0_14, plain,
% 0.60/0.80 ('E'(s(s(0)), f(suc(suc(X_28)))) | 'LE'(f(X_28), s(s(0)))),
% 0.60/0.80 inference(subst, [], [refute_0_13 : [bind(B_16, $fot(X_28))]])).
% 0.60/0.80
% 0.60/0.80 cnf(refute_0_15, plain,
% 0.60/0.80 (~ 'E'(f(X_28), f(suc(X_28))) | ~ 'E'(s(s(0)), f(X_28)) |
% 0.60/0.80 ~ 'E'(s(s(0)), f(suc(X_28))) | ~ 'E'(s(s(0)), f(suc(suc(X_28)))) |
% 0.60/0.80 iLEQ(suc(X_28), suc(X_28))),
% 0.60/0.80 inference(subst, [], [clause_91 : [bind(A_1, $fot(X_28))]])).
% 0.60/0.80
% 0.60/0.80 cnf(refute_0_16, plain,
% 0.60/0.80 (~ 'E'(f(X_28), f(suc(X_28))) | ~ 'E'(s(s(0)), f(X_28)) |
% 0.60/0.80 ~ 'E'(s(s(0)), f(suc(X_28))) | 'LE'(f(X_28), s(s(0))) |
% 0.60/0.80 iLEQ(suc(X_28), suc(X_28))),
% 0.60/0.80 inference(resolve, [$cnf('E'(s(s(0)), f(suc(suc(X_28)))))],
% 0.60/0.80 [refute_0_14, refute_0_15])).
% 0.60/0.80
% 0.60/0.80 cnf(refute_0_17, plain,
% 0.60/0.80 (~ 'E'(f(X_42), f(suc(X_42))) | ~ 'E'(s(s(0)), f(X_42)) |
% 0.60/0.80 ~ 'E'(s(s(0)), f(suc(X_42))) | 'LE'(f(X_42), s(s(0))) |
% 0.60/0.80 iLEQ(suc(X_42), suc(X_42))),
% 0.60/0.80 inference(subst, [], [refute_0_16 : [bind(X_28, $fot(X_42))]])).
% 0.60/0.80
% 0.60/0.80 cnf(refute_0_18, plain,
% 0.60/0.80 (~ 'E'(f(X_42), f(suc(X_42))) | ~ 'E'(s(s(0)), f(X_42)) |
% 0.60/0.80 'LE'(f(X_42), s(s(0))) | iLEQ(suc(X_42), suc(X_42))),
% 0.60/0.80 inference(resolve, [$cnf('E'(s(s(0)), f(suc(X_42))))],
% 0.60/0.80 [refute_0_11, refute_0_17])).
% 0.60/0.80
% 0.60/0.80 cnf(refute_0_19, plain,
% 0.60/0.80 (~ 'E'(f(X_48), f(suc(X_48))) | ~ 'E'(s(s(0)), f(X_48)) |
% 0.60/0.80 'LE'(f(X_48), s(s(0))) | iLEQ(suc(X_48), suc(X_48))),
% 0.60/0.80 inference(subst, [], [refute_0_18 : [bind(X_42, $fot(X_48))]])).
% 0.60/0.80
% 0.60/0.80 cnf(refute_0_20, plain,
% 0.60/0.80 ('E'(s(0), f(X_20)) | 'E'(s(s(0)), f(X_20)) | 'LE'(f(X_20), s(0))),
% 0.60/0.80 inference(subst, [], [refute_0_7 : [bind(X_5, $fot(X_20))]])).
% 0.60/0.80
% 0.60/0.80 cnf(refute_0_21, plain,
% 0.60/0.80 ('E'(s(s(0)), f(suc(X_17))) | 'LE'(f(X_17), s(s(0)))),
% 0.60/0.80 inference(subst, [], [refute_0_10 : [bind(B_16, $fot(X_17))]])).
% 0.60/0.80
% 0.60/0.80 cnf(refute_0_22, plain,
% 0.60/0.80 (~ 'E'(s(s(0)), f(X_17)) | ~ 'E'(s(s(0)), f(suc(X_17))) |
% 0.60/0.80 'E'(f(X_17), f(suc(X_17))) | iLEQ(suc(X_17), suc(X_17))),
% 0.60/0.80 inference(subst, [], [clause_26 : [bind(A_1, $fot(X_17))]])).
% 0.60/0.80
% 0.60/0.80 cnf(refute_0_23, plain,
% 0.60/0.80 (~ 'E'(s(s(0)), f(X_17)) | 'E'(f(X_17), f(suc(X_17))) |
% 0.60/0.80 'LE'(f(X_17), s(s(0))) | iLEQ(suc(X_17), suc(X_17))),
% 0.60/0.80 inference(resolve, [$cnf('E'(s(s(0)), f(suc(X_17))))],
% 0.60/0.80 [refute_0_21, refute_0_22])).
% 0.60/0.80
% 0.60/0.80 cnf(refute_0_24, plain,
% 0.60/0.80 (~ 'E'(s(s(0)), f(X_20)) | 'E'(f(X_20), f(suc(X_20))) |
% 0.60/0.80 'LE'(f(X_20), s(s(0))) | iLEQ(suc(X_20), suc(X_20))),
% 0.60/0.80 inference(subst, [], [refute_0_23 : [bind(X_17, $fot(X_20))]])).
% 0.60/0.80
% 0.60/0.80 cnf(refute_0_25, plain,
% 0.60/0.80 ('E'(f(X_20), f(suc(X_20))) | 'E'(s(0), f(X_20)) |
% 0.60/0.80 'LE'(f(X_20), s(0)) | 'LE'(f(X_20), s(s(0))) |
% 0.60/0.80 iLEQ(suc(X_20), suc(X_20))),
% 0.60/0.80 inference(resolve, [$cnf('E'(s(s(0)), f(X_20)))],
% 0.60/0.80 [refute_0_20, refute_0_24])).
% 0.60/0.80
% 0.60/0.80 cnf(refute_0_26, plain,
% 0.60/0.80 ('E'(f(X_48), f(suc(X_48))) | 'E'(s(0), f(X_48)) |
% 0.60/0.80 'LE'(f(X_48), s(0)) | 'LE'(f(X_48), s(s(0))) |
% 0.60/0.80 iLEQ(suc(X_48), suc(X_48))),
% 0.60/0.80 inference(subst, [], [refute_0_25 : [bind(X_20, $fot(X_48))]])).
% 0.60/0.80
% 0.60/0.80 cnf(refute_0_27, plain,
% 0.60/0.80 (~ 'E'(s(s(0)), f(X_48)) | 'E'(s(0), f(X_48)) | 'LE'(f(X_48), s(0)) |
% 0.60/0.80 'LE'(f(X_48), s(s(0))) | iLEQ(suc(X_48), suc(X_48))),
% 0.60/0.80 inference(resolve, [$cnf('E'(f(X_48), f(suc(X_48))))],
% 0.60/0.80 [refute_0_26, refute_0_19])).
% 0.60/0.80
% 0.60/0.80 cnf(refute_0_28, plain,
% 0.60/0.80 (~ 'E'(s(s(0)), f(X_59)) | 'E'(s(0), f(X_59)) | 'LE'(f(X_59), s(0)) |
% 0.60/0.80 'LE'(f(X_59), s(s(0))) | iLEQ(suc(X_59), suc(X_59))),
% 0.60/0.80 inference(subst, [], [refute_0_27 : [bind(X_48, $fot(X_59))]])).
% 0.60/0.80
% 0.60/0.80 cnf(refute_0_29, plain,
% 0.60/0.80 ('E'(s(0), f(X_59)) | 'LE'(f(X_59), s(0)) | 'LE'(f(X_59), s(s(0))) |
% 0.60/0.80 iLEQ(suc(X_59), suc(X_59))),
% 0.60/0.80 inference(resolve, [$cnf('E'(s(s(0)), f(X_59)))],
% 0.60/0.80 [refute_0_8, refute_0_28])).
% 0.60/0.80
% 0.60/0.80 cnf(refute_0_30, plain,
% 0.60/0.80 ('E'(s(0), f(X_60)) | 'LE'(f(X_60), s(0)) | 'LE'(f(X_60), s(s(0))) |
% 0.60/0.80 iLEQ(suc(X_60), suc(X_60))),
% 0.60/0.80 inference(subst, [], [refute_0_29 : [bind(X_59, $fot(X_60))]])).
% 0.60/0.80
% 0.60/0.80 cnf(refute_0_31, plain,
% 0.60/0.80 ('E'(s(0), f(X_60)) | 'LE'(f(X_60), s(0)) |
% 0.60/0.80 iLEQ(suc(X_60), suc(X_60))),
% 0.60/0.80 inference(resolve, [$cnf('LE'(f(X_60), s(s(0))))],
% 0.60/0.80 [refute_0_30, refute_0_2])).
% 0.60/0.80
% 0.60/0.80 cnf(refute_0_32, plain,
% 0.60/0.80 ('E'(s(0), f(X_64)) | 'LE'(f(X_64), s(0)) |
% 0.60/0.80 iLEQ(suc(X_64), suc(X_64))),
% 0.60/0.80 inference(subst, [], [refute_0_31 : [bind(X_60, $fot(X_64))]])).
% 0.60/0.80
% 0.60/0.80 cnf(refute_0_33, plain,
% 0.60/0.80 ('E'(s(0), f(X_40)) | 'E'(s(s(0)), f(X_40)) | 'LE'(f(X_40), s(0))),
% 0.60/0.80 inference(subst, [], [refute_0_7 : [bind(X_5, $fot(X_40))]])).
% 0.60/0.80
% 0.60/0.80 cnf(refute_0_34, plain,
% 0.60/0.80 ('E'(s(s(0)), f(suc(X_39))) | 'LE'(f(X_39), s(s(0)))),
% 0.60/0.80 inference(subst, [], [refute_0_10 : [bind(B_16, $fot(X_39))]])).
% 0.60/0.80
% 0.60/0.80 cnf(refute_0_35, plain,
% 0.60/0.80 ('E'(s(s(0)), f(suc(suc(X_29)))) | 'LE'(f(X_29), s(s(0)))),
% 0.60/0.80 inference(subst, [], [refute_0_13 : [bind(B_16, $fot(X_29))]])).
% 0.60/0.80
% 0.60/0.80 cnf(refute_0_36, plain,
% 0.60/0.80 (~ 'E'(f(X_29), f(suc(X_29))) | ~ 'E'(s(s(0)), f(X_29)) |
% 0.60/0.80 ~ 'E'(s(s(0)), f(suc(X_29))) | ~ 'E'(s(s(0)), f(suc(suc(X_29)))) |
% 0.60/0.80 ~ iLEQ(suc(X_29), suc(X_29))),
% 0.60/0.80 inference(subst, [],
% 0.60/0.80 [clause_20 :
% 0.60/0.80 [bind(A_1, $fot(X_29)), bind(B_17, $fot(X_29)),
% 0.60/0.80 bind(B_18, $fot(X_29))]])).
% 0.60/0.80
% 0.60/0.80 cnf(refute_0_37, plain,
% 0.60/0.80 (~ 'E'(f(X_29), f(suc(X_29))) | ~ 'E'(s(s(0)), f(X_29)) |
% 0.60/0.80 ~ 'E'(s(s(0)), f(suc(X_29))) | ~ iLEQ(suc(X_29), suc(X_29)) |
% 0.60/0.80 'LE'(f(X_29), s(s(0)))),
% 0.60/0.80 inference(resolve, [$cnf('E'(s(s(0)), f(suc(suc(X_29)))))],
% 0.60/0.80 [refute_0_35, refute_0_36])).
% 0.60/0.80
% 0.60/0.80 cnf(refute_0_38, plain,
% 0.60/0.80 (~ 'E'(f(X_39), f(suc(X_39))) | ~ 'E'(s(s(0)), f(X_39)) |
% 0.60/0.80 ~ 'E'(s(s(0)), f(suc(X_39))) | ~ iLEQ(suc(X_39), suc(X_39)) |
% 0.60/0.80 'LE'(f(X_39), s(s(0)))),
% 0.60/0.80 inference(subst, [], [refute_0_37 : [bind(X_29, $fot(X_39))]])).
% 0.60/0.80
% 0.60/0.80 cnf(refute_0_39, plain,
% 0.60/0.80 (~ 'E'(f(X_39), f(suc(X_39))) | ~ 'E'(s(s(0)), f(X_39)) |
% 0.60/0.80 ~ iLEQ(suc(X_39), suc(X_39)) | 'LE'(f(X_39), s(s(0)))),
% 0.60/0.80 inference(resolve, [$cnf('E'(s(s(0)), f(suc(X_39))))],
% 0.60/0.80 [refute_0_34, refute_0_38])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_40, plain,
% 0.60/0.81 (~ 'E'(f(X_40), f(suc(X_40))) | ~ 'E'(s(s(0)), f(X_40)) |
% 0.60/0.81 ~ iLEQ(suc(X_40), suc(X_40)) | 'LE'(f(X_40), s(s(0)))),
% 0.60/0.81 inference(subst, [], [refute_0_39 : [bind(X_39, $fot(X_40))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_41, plain,
% 0.60/0.81 (~ 'E'(f(X_40), f(suc(X_40))) | ~ iLEQ(suc(X_40), suc(X_40)) |
% 0.60/0.81 'E'(s(0), f(X_40)) | 'LE'(f(X_40), s(0)) | 'LE'(f(X_40), s(s(0)))),
% 0.60/0.81 inference(resolve, [$cnf('E'(s(s(0)), f(X_40)))],
% 0.60/0.81 [refute_0_33, refute_0_40])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_42, plain,
% 0.60/0.81 (~ 'E'(f(X_62), f(suc(X_62))) | ~ iLEQ(suc(X_62), suc(X_62)) |
% 0.60/0.81 'E'(s(0), f(X_62)) | 'LE'(f(X_62), s(0)) | 'LE'(f(X_62), s(s(0)))),
% 0.60/0.81 inference(subst, [], [refute_0_41 : [bind(X_40, $fot(X_62))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_43, plain,
% 0.60/0.81 ('E'(s(0), f(X_19)) | 'E'(s(s(0)), f(X_19)) | 'LE'(f(X_19), s(0))),
% 0.60/0.81 inference(subst, [], [refute_0_7 : [bind(X_5, $fot(X_19))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_44, plain,
% 0.60/0.81 ('E'(s(s(0)), f(suc(X_18))) | 'LE'(f(X_18), s(s(0)))),
% 0.60/0.81 inference(subst, [], [refute_0_10 : [bind(B_16, $fot(X_18))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_45, plain,
% 0.60/0.81 (~ 'E'(s(s(0)), f(X_18)) | ~ 'E'(s(s(0)), f(suc(X_18))) |
% 0.60/0.81 ~ iLEQ(suc(X_18), suc(X_18)) | 'E'(f(X_18), f(suc(X_18)))),
% 0.60/0.81 inference(subst, [],
% 0.60/0.81 [clause_311 :
% 0.60/0.81 [bind(A_1, $fot(X_18)), bind(B_17, $fot(X_18)),
% 0.60/0.81 bind(B_18, $fot(X_18))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_46, plain,
% 0.60/0.81 (~ 'E'(s(s(0)), f(X_18)) | ~ iLEQ(suc(X_18), suc(X_18)) |
% 0.60/0.81 'E'(f(X_18), f(suc(X_18))) | 'LE'(f(X_18), s(s(0)))),
% 0.60/0.81 inference(resolve, [$cnf('E'(s(s(0)), f(suc(X_18))))],
% 0.60/0.81 [refute_0_44, refute_0_45])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_47, plain,
% 0.60/0.81 (~ 'E'(s(s(0)), f(X_19)) | ~ iLEQ(suc(X_19), suc(X_19)) |
% 0.60/0.81 'E'(f(X_19), f(suc(X_19))) | 'LE'(f(X_19), s(s(0)))),
% 0.60/0.81 inference(subst, [], [refute_0_46 : [bind(X_18, $fot(X_19))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_48, plain,
% 0.60/0.81 (~ iLEQ(suc(X_19), suc(X_19)) | 'E'(f(X_19), f(suc(X_19))) |
% 0.60/0.81 'E'(s(0), f(X_19)) | 'LE'(f(X_19), s(0)) | 'LE'(f(X_19), s(s(0)))),
% 0.60/0.81 inference(resolve, [$cnf('E'(s(s(0)), f(X_19)))],
% 0.60/0.81 [refute_0_43, refute_0_47])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_49, plain,
% 0.60/0.81 (~ iLEQ(suc(X_60), suc(X_60)) | 'E'(f(X_60), f(suc(X_60))) |
% 0.60/0.81 'E'(s(0), f(X_60)) | 'LE'(f(X_60), s(0)) | 'LE'(f(X_60), s(s(0)))),
% 0.60/0.81 inference(subst, [], [refute_0_48 : [bind(X_19, $fot(X_60))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_50, plain,
% 0.60/0.81 ('E'(f(X_60), f(suc(X_60))) | 'E'(s(0), f(X_60)) |
% 0.60/0.81 'LE'(f(X_60), s(0)) | 'LE'(f(X_60), s(s(0)))),
% 0.60/0.81 inference(resolve, [$cnf(iLEQ(suc(X_60), suc(X_60)))],
% 0.60/0.81 [refute_0_30, refute_0_49])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_51, plain,
% 0.60/0.81 ('E'(f(X_62), f(suc(X_62))) | 'E'(s(0), f(X_62)) |
% 0.60/0.81 'LE'(f(X_62), s(0)) | 'LE'(f(X_62), s(s(0)))),
% 0.60/0.81 inference(subst, [], [refute_0_50 : [bind(X_60, $fot(X_62))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_52, plain,
% 0.60/0.81 (~ iLEQ(suc(X_62), suc(X_62)) | 'E'(s(0), f(X_62)) |
% 0.60/0.81 'LE'(f(X_62), s(0)) | 'LE'(f(X_62), s(s(0)))),
% 0.60/0.81 inference(resolve, [$cnf('E'(f(X_62), f(suc(X_62))))],
% 0.60/0.81 [refute_0_51, refute_0_42])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_53, plain,
% 0.60/0.81 (~ iLEQ(suc(X_64), suc(X_64)) | 'E'(s(0), f(X_64)) |
% 0.60/0.81 'LE'(f(X_64), s(0)) | 'LE'(f(X_64), s(s(0)))),
% 0.60/0.81 inference(subst, [], [refute_0_52 : [bind(X_62, $fot(X_64))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_54, plain,
% 0.60/0.81 ('E'(s(0), f(X_64)) | 'LE'(f(X_64), s(0)) | 'LE'(f(X_64), s(s(0)))),
% 0.60/0.81 inference(resolve, [$cnf(iLEQ(suc(X_64), suc(X_64)))],
% 0.60/0.81 [refute_0_32, refute_0_53])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_55, plain,
% 0.60/0.81 ('E'(s(0), f(X_65)) | 'LE'(f(X_65), s(0)) | 'LE'(f(X_65), s(s(0)))),
% 0.60/0.81 inference(subst, [], [refute_0_54 : [bind(X_64, $fot(X_65))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_56, plain, ('E'(s(0), f(X_65)) | 'LE'(f(X_65), s(0))),
% 0.60/0.81 inference(resolve, [$cnf('LE'(f(X_65), s(s(0))))],
% 0.60/0.81 [refute_0_55, refute_0_1])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_57, plain,
% 0.60/0.81 ('E'(s(0), f(suc(B_35))) | 'LE'(f(suc(B_35)), s(0))),
% 0.60/0.81 inference(subst, [], [refute_0_56 : [bind(X_65, $fot(suc(B_35)))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_58, plain,
% 0.60/0.81 ('E'(0, f(suc(B_35))) | 'E'(s(0), f(suc(B_35))) | 'LE'(f(B_35), 0)),
% 0.60/0.81 inference(resolve, [$cnf('LE'(f(suc(B_35)), s(0)))],
% 0.60/0.81 [refute_0_57, clause_353])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_59, plain,
% 0.60/0.81 ('E'(0, f(suc(X_222))) | 'E'(s(0), f(suc(X_222))) | 'LE'(f(X_222), 0)),
% 0.60/0.81 inference(subst, [], [refute_0_58 : [bind(B_35, $fot(X_222))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_60, plain,
% 0.60/0.81 ('E'(0, f(suc(X_195))) | 'E'(s(0), f(suc(X_195))) | 'LE'(f(X_195), 0)),
% 0.60/0.81 inference(subst, [], [refute_0_58 : [bind(B_35, $fot(X_195))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_61, plain,
% 0.60/0.81 (~ 'LE'(f(suc(X_112)), s(s(0))) | 'E'(s(0), f(suc(X_112))) |
% 0.60/0.81 'LE'(f(X_112), s(0))),
% 0.60/0.81 inference(subst, [], [clause_138 : [bind(B_28, $fot(X_112))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_62, plain,
% 0.60/0.81 ('E'(s(s(0)), f(suc(X_8))) | 'LE'(f(suc(X_8)), s(s(0)))),
% 0.60/0.81 inference(subst, [], [refute_0_4 : [bind(B_16, $fot(suc(X_8)))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_63, plain,
% 0.60/0.81 (~ 'LE'(f(suc(X_8)), s(s(0))) | 'E'(s(0), f(suc(X_8))) |
% 0.60/0.81 'LE'(f(X_8), s(0))),
% 0.60/0.81 inference(subst, [], [clause_138 : [bind(B_28, $fot(X_8))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_64, plain,
% 0.60/0.81 ('E'(s(0), f(suc(X_8))) | 'E'(s(s(0)), f(suc(X_8))) |
% 0.60/0.81 'LE'(f(X_8), s(0))),
% 0.60/0.81 inference(resolve, [$cnf('LE'(f(suc(X_8)), s(s(0))))],
% 0.60/0.81 [refute_0_62, refute_0_63])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_65, plain,
% 0.60/0.81 ('E'(s(0), f(suc(X_111))) | 'E'(s(s(0)), f(suc(X_111))) |
% 0.60/0.81 'LE'(f(X_111), s(0))),
% 0.60/0.81 inference(subst, [], [refute_0_64 : [bind(X_8, $fot(X_111))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_66, plain,
% 0.60/0.81 ('E'(s(0), f(suc(X_82))) | 'E'(s(s(0)), f(suc(X_82))) |
% 0.60/0.81 'LE'(f(X_82), s(0))),
% 0.60/0.81 inference(subst, [], [refute_0_64 : [bind(X_8, $fot(X_82))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_67, plain,
% 0.60/0.81 (~ 'E'(f(suc(X_71)), f(suc(suc(X_71)))) |
% 0.60/0.81 ~ 'E'(s(s(0)), f(suc(X_71))) | 'LE'(f(suc(X_71)), s(s(0))) |
% 0.60/0.81 iLEQ(suc(suc(X_71)), suc(suc(X_71)))),
% 0.60/0.81 inference(subst, [], [refute_0_18 : [bind(X_42, $fot(suc(X_71)))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_68, plain,
% 0.60/0.81 (~ 'E'(s(s(0)), f(suc(X_8))) | 'E'(f(suc(X_8)), f(suc(suc(X_8)))) |
% 0.60/0.81 'LE'(f(suc(X_8)), s(s(0))) | iLEQ(suc(suc(X_8)), suc(suc(X_8)))),
% 0.60/0.81 inference(subst, [], [refute_0_23 : [bind(X_17, $fot(suc(X_8)))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_69, plain,
% 0.60/0.81 ('E'(f(suc(X_8)), f(suc(suc(X_8)))) | 'E'(s(0), f(suc(X_8))) |
% 0.60/0.81 'LE'(f(X_8), s(0)) | 'LE'(f(suc(X_8)), s(s(0))) |
% 0.60/0.81 iLEQ(suc(suc(X_8)), suc(suc(X_8)))),
% 0.60/0.81 inference(resolve, [$cnf('E'(s(s(0)), f(suc(X_8))))],
% 0.60/0.81 [refute_0_64, refute_0_68])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_70, plain,
% 0.60/0.81 ('E'(f(suc(X_71)), f(suc(suc(X_71)))) | 'E'(s(0), f(suc(X_71))) |
% 0.60/0.81 'LE'(f(X_71), s(0)) | 'LE'(f(suc(X_71)), s(s(0))) |
% 0.60/0.81 iLEQ(suc(suc(X_71)), suc(suc(X_71)))),
% 0.60/0.81 inference(subst, [], [refute_0_69 : [bind(X_8, $fot(X_71))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_71, plain,
% 0.60/0.81 (~ 'E'(s(s(0)), f(suc(X_71))) | 'E'(s(0), f(suc(X_71))) |
% 0.60/0.81 'LE'(f(X_71), s(0)) | 'LE'(f(suc(X_71)), s(s(0))) |
% 0.60/0.81 iLEQ(suc(suc(X_71)), suc(suc(X_71)))),
% 0.60/0.81 inference(resolve, [$cnf('E'(f(suc(X_71)), f(suc(suc(X_71)))))],
% 0.60/0.81 [refute_0_70, refute_0_67])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_72, plain,
% 0.60/0.81 (~ 'E'(s(s(0)), f(suc(X_82))) | 'E'(s(0), f(suc(X_82))) |
% 0.60/0.81 'LE'(f(X_82), s(0)) | 'LE'(f(suc(X_82)), s(s(0))) |
% 0.60/0.81 iLEQ(suc(suc(X_82)), suc(suc(X_82)))),
% 0.60/0.81 inference(subst, [], [refute_0_71 : [bind(X_71, $fot(X_82))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_73, plain,
% 0.60/0.81 ('E'(s(0), f(suc(X_82))) | 'LE'(f(X_82), s(0)) |
% 0.60/0.81 'LE'(f(suc(X_82)), s(s(0))) | iLEQ(suc(suc(X_82)), suc(suc(X_82)))),
% 0.60/0.81 inference(resolve, [$cnf('E'(s(s(0)), f(suc(X_82))))],
% 0.60/0.81 [refute_0_66, refute_0_72])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_74, plain,
% 0.60/0.81 ('E'(s(0), f(suc(X_110))) | 'LE'(f(X_110), s(0)) |
% 0.60/0.81 'LE'(f(suc(X_110)), s(s(0))) |
% 0.60/0.81 iLEQ(suc(suc(X_110)), suc(suc(X_110)))),
% 0.60/0.81 inference(subst, [], [refute_0_73 : [bind(X_82, $fot(X_110))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_75, plain,
% 0.60/0.81 (~ 'E'(f(suc(X_106)), f(suc(suc(X_106)))) |
% 0.60/0.81 ~ 'E'(s(s(0)), f(suc(X_106))) |
% 0.60/0.81 ~ iLEQ(suc(suc(X_106)), suc(suc(X_106))) |
% 0.60/0.81 'LE'(f(suc(X_106)), s(s(0)))),
% 0.60/0.81 inference(subst, [], [refute_0_39 : [bind(X_39, $fot(suc(X_106)))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_76, plain,
% 0.60/0.81 ('E'(s(0), f(suc(X_105))) | 'E'(s(s(0)), f(suc(X_105))) |
% 0.60/0.81 'LE'(f(X_105), s(0))),
% 0.60/0.81 inference(subst, [], [refute_0_64 : [bind(X_8, $fot(X_105))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_77, plain,
% 0.60/0.81 (~ 'E'(s(s(0)), f(suc(X_83))) |
% 0.60/0.81 ~ iLEQ(suc(suc(X_83)), suc(suc(X_83))) |
% 0.60/0.81 'E'(f(suc(X_83)), f(suc(suc(X_83)))) | 'LE'(f(suc(X_83)), s(s(0)))),
% 0.60/0.81 inference(subst, [], [refute_0_46 : [bind(X_18, $fot(suc(X_83)))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_78, plain,
% 0.60/0.81 ('E'(s(0), f(suc(X_83))) | 'LE'(f(X_83), s(0)) |
% 0.60/0.81 'LE'(f(suc(X_83)), s(s(0))) | iLEQ(suc(suc(X_83)), suc(suc(X_83)))),
% 0.60/0.81 inference(subst, [], [refute_0_73 : [bind(X_82, $fot(X_83))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_79, plain,
% 0.60/0.81 (~ 'E'(s(s(0)), f(suc(X_83))) | 'E'(f(suc(X_83)), f(suc(suc(X_83)))) |
% 0.60/0.81 'E'(s(0), f(suc(X_83))) | 'LE'(f(X_83), s(0)) |
% 0.60/0.81 'LE'(f(suc(X_83)), s(s(0)))),
% 0.60/0.81 inference(resolve, [$cnf(iLEQ(suc(suc(X_83)), suc(suc(X_83))))],
% 0.60/0.81 [refute_0_78, refute_0_77])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_80, plain,
% 0.60/0.81 (~ 'E'(s(s(0)), f(suc(X_105))) |
% 0.60/0.81 'E'(f(suc(X_105)), f(suc(suc(X_105)))) | 'E'(s(0), f(suc(X_105))) |
% 0.60/0.81 'LE'(f(X_105), s(0)) | 'LE'(f(suc(X_105)), s(s(0)))),
% 0.60/0.81 inference(subst, [], [refute_0_79 : [bind(X_83, $fot(X_105))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_81, plain,
% 0.60/0.81 ('E'(f(suc(X_105)), f(suc(suc(X_105)))) | 'E'(s(0), f(suc(X_105))) |
% 0.60/0.81 'LE'(f(X_105), s(0)) | 'LE'(f(suc(X_105)), s(s(0)))),
% 0.60/0.81 inference(resolve, [$cnf('E'(s(s(0)), f(suc(X_105))))],
% 0.60/0.81 [refute_0_76, refute_0_80])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_82, plain,
% 0.60/0.81 ('E'(f(suc(X_106)), f(suc(suc(X_106)))) | 'E'(s(0), f(suc(X_106))) |
% 0.60/0.81 'LE'(f(X_106), s(0)) | 'LE'(f(suc(X_106)), s(s(0)))),
% 0.60/0.81 inference(subst, [], [refute_0_81 : [bind(X_105, $fot(X_106))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_83, plain,
% 0.60/0.81 (~ 'E'(s(s(0)), f(suc(X_106))) |
% 0.60/0.81 ~ iLEQ(suc(suc(X_106)), suc(suc(X_106))) | 'E'(s(0), f(suc(X_106))) |
% 0.60/0.81 'LE'(f(X_106), s(0)) | 'LE'(f(suc(X_106)), s(s(0)))),
% 0.60/0.81 inference(resolve, [$cnf('E'(f(suc(X_106)), f(suc(suc(X_106)))))],
% 0.60/0.81 [refute_0_82, refute_0_75])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_84, plain,
% 0.60/0.81 (~ 'E'(s(s(0)), f(suc(X_110))) |
% 0.60/0.81 ~ iLEQ(suc(suc(X_110)), suc(suc(X_110))) | 'E'(s(0), f(suc(X_110))) |
% 0.60/0.81 'LE'(f(X_110), s(0)) | 'LE'(f(suc(X_110)), s(s(0)))),
% 0.60/0.81 inference(subst, [], [refute_0_83 : [bind(X_106, $fot(X_110))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_85, plain,
% 0.60/0.81 (~ 'E'(s(s(0)), f(suc(X_110))) | 'E'(s(0), f(suc(X_110))) |
% 0.60/0.81 'LE'(f(X_110), s(0)) | 'LE'(f(suc(X_110)), s(s(0)))),
% 0.60/0.81 inference(resolve, [$cnf(iLEQ(suc(suc(X_110)), suc(suc(X_110))))],
% 0.60/0.81 [refute_0_74, refute_0_84])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_86, plain,
% 0.60/0.81 (~ 'E'(s(s(0)), f(suc(X_111))) | 'E'(s(0), f(suc(X_111))) |
% 0.60/0.81 'LE'(f(X_111), s(0)) | 'LE'(f(suc(X_111)), s(s(0)))),
% 0.60/0.81 inference(subst, [], [refute_0_85 : [bind(X_110, $fot(X_111))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_87, plain,
% 0.60/0.81 ('E'(s(0), f(suc(X_111))) | 'LE'(f(X_111), s(0)) |
% 0.60/0.81 'LE'(f(suc(X_111)), s(s(0)))),
% 0.60/0.81 inference(resolve, [$cnf('E'(s(s(0)), f(suc(X_111))))],
% 0.60/0.81 [refute_0_65, refute_0_86])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_88, plain,
% 0.60/0.81 ('E'(s(0), f(suc(X_112))) | 'LE'(f(X_112), s(0)) |
% 0.60/0.81 'LE'(f(suc(X_112)), s(s(0)))),
% 0.60/0.81 inference(subst, [], [refute_0_87 : [bind(X_111, $fot(X_112))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_89, plain, ('E'(s(0), f(suc(X_112))) | 'LE'(f(X_112), s(0))),
% 0.60/0.81 inference(resolve, [$cnf('LE'(f(suc(X_112)), s(s(0))))],
% 0.60/0.81 [refute_0_88, refute_0_61])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_90, plain, ('E'(s(0), f(suc(X_157))) | 'LE'(f(X_157), s(0))),
% 0.60/0.81 inference(subst, [], [refute_0_89 : [bind(X_112, $fot(X_157))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_91, plain,
% 0.60/0.81 (~ 'E'(f(X_149), f(suc(X_149))) | ~ 'E'(s(0), f(X_149)) |
% 0.60/0.81 ~ 'E'(s(0), f(suc(X_149))) | ~ 'E'(s(0), f(suc(suc(X_149)))) |
% 0.60/0.81 iLEQ(suc(X_149), suc(X_149))),
% 0.60/0.81 inference(subst, [], [clause_37 : [bind(A_2, $fot(X_149))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_92, plain,
% 0.60/0.81 (~ 'LE'(f(suc(suc(X_148))), s(s(0))) | 'E'(s(0), f(suc(suc(X_148)))) |
% 0.60/0.81 'LE'(f(X_148), s(0))),
% 0.60/0.81 inference(subst, [], [clause_18 : [bind(B_28, $fot(X_148))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_93, plain,
% 0.60/0.81 ('E'(s(s(0)), f(suc(suc(X_11)))) | 'LE'(f(suc(suc(X_11))), s(s(0)))),
% 0.60/0.81 inference(subst, [],
% 0.60/0.81 [refute_0_4 : [bind(B_16, $fot(suc(suc(X_11))))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_94, plain,
% 0.60/0.81 (~ 'LE'(f(suc(suc(X_11))), s(s(0))) | 'E'(s(0), f(suc(suc(X_11)))) |
% 0.60/0.81 'LE'(f(X_11), s(0))),
% 0.60/0.81 inference(subst, [], [clause_18 : [bind(B_28, $fot(X_11))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_95, plain,
% 0.60/0.81 ('E'(s(0), f(suc(suc(X_11)))) | 'E'(s(s(0)), f(suc(suc(X_11)))) |
% 0.60/0.81 'LE'(f(X_11), s(0))),
% 0.60/0.81 inference(resolve, [$cnf('LE'(f(suc(suc(X_11))), s(s(0))))],
% 0.60/0.81 [refute_0_93, refute_0_94])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_96, plain,
% 0.60/0.81 ('E'(s(0), f(suc(suc(X_147)))) | 'E'(s(s(0)), f(suc(suc(X_147)))) |
% 0.60/0.81 'LE'(f(X_147), s(0))),
% 0.60/0.81 inference(subst, [], [refute_0_95 : [bind(X_11, $fot(X_147))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_97, plain,
% 0.60/0.81 ('E'(s(0), f(suc(suc(X_108)))) | 'E'(s(s(0)), f(suc(suc(X_108)))) |
% 0.60/0.81 'LE'(f(X_108), s(0))),
% 0.60/0.81 inference(subst, [], [refute_0_95 : [bind(X_11, $fot(X_108))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_98, plain,
% 0.60/0.81 (~ 'E'(f(suc(suc(X_103))), f(suc(suc(suc(X_103))))) |
% 0.60/0.81 ~ 'E'(s(s(0)), f(suc(suc(X_103)))) |
% 0.60/0.81 'LE'(f(suc(suc(X_103))), s(s(0))) |
% 0.60/0.81 iLEQ(suc(suc(suc(X_103))), suc(suc(suc(X_103))))),
% 0.60/0.81 inference(subst, [],
% 0.60/0.81 [refute_0_18 : [bind(X_42, $fot(suc(suc(X_103))))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_99, plain,
% 0.60/0.81 (~ 'E'(s(s(0)), f(suc(suc(X_11)))) |
% 0.60/0.81 'E'(f(suc(suc(X_11))), f(suc(suc(suc(X_11))))) |
% 0.60/0.81 'LE'(f(suc(suc(X_11))), s(s(0))) |
% 0.60/0.81 iLEQ(suc(suc(suc(X_11))), suc(suc(suc(X_11))))),
% 0.60/0.81 inference(subst, [],
% 0.60/0.81 [refute_0_23 : [bind(X_17, $fot(suc(suc(X_11))))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_100, plain,
% 0.60/0.81 ('E'(f(suc(suc(X_11))), f(suc(suc(suc(X_11))))) |
% 0.60/0.81 'E'(s(0), f(suc(suc(X_11)))) | 'LE'(f(X_11), s(0)) |
% 0.60/0.81 'LE'(f(suc(suc(X_11))), s(s(0))) |
% 0.60/0.81 iLEQ(suc(suc(suc(X_11))), suc(suc(suc(X_11))))),
% 0.60/0.81 inference(resolve, [$cnf('E'(s(s(0)), f(suc(suc(X_11)))))],
% 0.60/0.81 [refute_0_95, refute_0_99])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_101, plain,
% 0.60/0.81 ('E'(f(suc(suc(X_103))), f(suc(suc(suc(X_103))))) |
% 0.60/0.81 'E'(s(0), f(suc(suc(X_103)))) | 'LE'(f(X_103), s(0)) |
% 0.60/0.81 'LE'(f(suc(suc(X_103))), s(s(0))) |
% 0.60/0.81 iLEQ(suc(suc(suc(X_103))), suc(suc(suc(X_103))))),
% 0.60/0.81 inference(subst, [], [refute_0_100 : [bind(X_11, $fot(X_103))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_102, plain,
% 0.60/0.81 (~ 'E'(s(s(0)), f(suc(suc(X_103)))) | 'E'(s(0), f(suc(suc(X_103)))) |
% 0.60/0.81 'LE'(f(X_103), s(0)) | 'LE'(f(suc(suc(X_103))), s(s(0))) |
% 0.60/0.81 iLEQ(suc(suc(suc(X_103))), suc(suc(suc(X_103))))),
% 0.60/0.81 inference(resolve,
% 0.60/0.81 [$cnf('E'(f(suc(suc(X_103))), f(suc(suc(suc(X_103))))))],
% 0.60/0.81 [refute_0_101, refute_0_98])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_103, plain,
% 0.60/0.81 (~ 'E'(s(s(0)), f(suc(suc(X_108)))) | 'E'(s(0), f(suc(suc(X_108)))) |
% 0.60/0.81 'LE'(f(X_108), s(0)) | 'LE'(f(suc(suc(X_108))), s(s(0))) |
% 0.60/0.81 iLEQ(suc(suc(suc(X_108))), suc(suc(suc(X_108))))),
% 0.60/0.81 inference(subst, [], [refute_0_102 : [bind(X_103, $fot(X_108))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_104, plain,
% 0.60/0.81 ('E'(s(0), f(suc(suc(X_108)))) | 'LE'(f(X_108), s(0)) |
% 0.60/0.81 'LE'(f(suc(suc(X_108))), s(s(0))) |
% 0.60/0.81 iLEQ(suc(suc(suc(X_108))), suc(suc(suc(X_108))))),
% 0.60/0.81 inference(resolve, [$cnf('E'(s(s(0)), f(suc(suc(X_108)))))],
% 0.60/0.81 [refute_0_97, refute_0_103])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_105, plain,
% 0.60/0.81 ('E'(s(0), f(suc(suc(X_146)))) | 'LE'(f(X_146), s(0)) |
% 0.60/0.81 'LE'(f(suc(suc(X_146))), s(s(0))) |
% 0.60/0.81 iLEQ(suc(suc(suc(X_146))), suc(suc(suc(X_146))))),
% 0.60/0.81 inference(subst, [], [refute_0_104 : [bind(X_108, $fot(X_146))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_106, plain,
% 0.60/0.81 (~ 'E'(f(suc(suc(X_127))), f(suc(suc(suc(X_127))))) |
% 0.60/0.81 ~ 'E'(s(s(0)), f(suc(suc(X_127)))) |
% 0.60/0.81 ~ iLEQ(suc(suc(suc(X_127))), suc(suc(suc(X_127)))) |
% 0.60/0.81 'LE'(f(suc(suc(X_127))), s(s(0)))),
% 0.60/0.81 inference(subst, [],
% 0.60/0.81 [refute_0_39 : [bind(X_39, $fot(suc(suc(X_127))))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_107, plain,
% 0.60/0.81 ('E'(s(0), f(suc(suc(X_126)))) | 'E'(s(s(0)), f(suc(suc(X_126)))) |
% 0.60/0.81 'LE'(f(X_126), s(0))),
% 0.60/0.81 inference(subst, [], [refute_0_95 : [bind(X_11, $fot(X_126))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_108, plain,
% 0.60/0.81 (~ 'E'(s(s(0)), f(suc(suc(X_109)))) |
% 0.60/0.81 ~ iLEQ(suc(suc(suc(X_109))), suc(suc(suc(X_109)))) |
% 0.60/0.81 'E'(f(suc(suc(X_109))), f(suc(suc(suc(X_109))))) |
% 0.60/0.81 'LE'(f(suc(suc(X_109))), s(s(0)))),
% 0.60/0.81 inference(subst, [],
% 0.60/0.81 [refute_0_46 : [bind(X_18, $fot(suc(suc(X_109))))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_109, plain,
% 0.60/0.81 ('E'(s(0), f(suc(suc(X_109)))) | 'LE'(f(X_109), s(0)) |
% 0.60/0.81 'LE'(f(suc(suc(X_109))), s(s(0))) |
% 0.60/0.81 iLEQ(suc(suc(suc(X_109))), suc(suc(suc(X_109))))),
% 0.60/0.81 inference(subst, [], [refute_0_104 : [bind(X_108, $fot(X_109))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_110, plain,
% 0.60/0.81 (~ 'E'(s(s(0)), f(suc(suc(X_109)))) |
% 0.60/0.81 'E'(f(suc(suc(X_109))), f(suc(suc(suc(X_109))))) |
% 0.60/0.81 'E'(s(0), f(suc(suc(X_109)))) | 'LE'(f(X_109), s(0)) |
% 0.60/0.81 'LE'(f(suc(suc(X_109))), s(s(0)))),
% 0.60/0.81 inference(resolve,
% 0.60/0.81 [$cnf(iLEQ(suc(suc(suc(X_109))), suc(suc(suc(X_109)))))],
% 0.60/0.81 [refute_0_109, refute_0_108])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_111, plain,
% 0.60/0.81 (~ 'E'(s(s(0)), f(suc(suc(X_126)))) |
% 0.60/0.81 'E'(f(suc(suc(X_126))), f(suc(suc(suc(X_126))))) |
% 0.60/0.81 'E'(s(0), f(suc(suc(X_126)))) | 'LE'(f(X_126), s(0)) |
% 0.60/0.81 'LE'(f(suc(suc(X_126))), s(s(0)))),
% 0.60/0.81 inference(subst, [], [refute_0_110 : [bind(X_109, $fot(X_126))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_112, plain,
% 0.60/0.81 ('E'(f(suc(suc(X_126))), f(suc(suc(suc(X_126))))) |
% 0.60/0.81 'E'(s(0), f(suc(suc(X_126)))) | 'LE'(f(X_126), s(0)) |
% 0.60/0.81 'LE'(f(suc(suc(X_126))), s(s(0)))),
% 0.60/0.81 inference(resolve, [$cnf('E'(s(s(0)), f(suc(suc(X_126)))))],
% 0.60/0.81 [refute_0_107, refute_0_111])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_113, plain,
% 0.60/0.81 ('E'(f(suc(suc(X_127))), f(suc(suc(suc(X_127))))) |
% 0.60/0.81 'E'(s(0), f(suc(suc(X_127)))) | 'LE'(f(X_127), s(0)) |
% 0.60/0.81 'LE'(f(suc(suc(X_127))), s(s(0)))),
% 0.60/0.81 inference(subst, [], [refute_0_112 : [bind(X_126, $fot(X_127))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_114, plain,
% 0.60/0.81 (~ 'E'(s(s(0)), f(suc(suc(X_127)))) |
% 0.60/0.81 ~ iLEQ(suc(suc(suc(X_127))), suc(suc(suc(X_127)))) |
% 0.60/0.81 'E'(s(0), f(suc(suc(X_127)))) | 'LE'(f(X_127), s(0)) |
% 0.60/0.81 'LE'(f(suc(suc(X_127))), s(s(0)))),
% 0.60/0.81 inference(resolve,
% 0.60/0.81 [$cnf('E'(f(suc(suc(X_127))), f(suc(suc(suc(X_127))))))],
% 0.60/0.81 [refute_0_113, refute_0_106])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_115, plain,
% 0.60/0.81 (~ 'E'(s(s(0)), f(suc(suc(X_146)))) |
% 0.60/0.81 ~ iLEQ(suc(suc(suc(X_146))), suc(suc(suc(X_146)))) |
% 0.60/0.81 'E'(s(0), f(suc(suc(X_146)))) | 'LE'(f(X_146), s(0)) |
% 0.60/0.81 'LE'(f(suc(suc(X_146))), s(s(0)))),
% 0.60/0.81 inference(subst, [], [refute_0_114 : [bind(X_127, $fot(X_146))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_116, plain,
% 0.60/0.81 (~ 'E'(s(s(0)), f(suc(suc(X_146)))) | 'E'(s(0), f(suc(suc(X_146)))) |
% 0.60/0.81 'LE'(f(X_146), s(0)) | 'LE'(f(suc(suc(X_146))), s(s(0)))),
% 0.60/0.81 inference(resolve,
% 0.60/0.81 [$cnf(iLEQ(suc(suc(suc(X_146))), suc(suc(suc(X_146)))))],
% 0.60/0.81 [refute_0_105, refute_0_115])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_117, plain,
% 0.60/0.81 (~ 'E'(s(s(0)), f(suc(suc(X_147)))) | 'E'(s(0), f(suc(suc(X_147)))) |
% 0.60/0.81 'LE'(f(X_147), s(0)) | 'LE'(f(suc(suc(X_147))), s(s(0)))),
% 0.60/0.81 inference(subst, [], [refute_0_116 : [bind(X_146, $fot(X_147))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_118, plain,
% 0.60/0.81 ('E'(s(0), f(suc(suc(X_147)))) | 'LE'(f(X_147), s(0)) |
% 0.60/0.81 'LE'(f(suc(suc(X_147))), s(s(0)))),
% 0.60/0.81 inference(resolve, [$cnf('E'(s(s(0)), f(suc(suc(X_147)))))],
% 0.60/0.81 [refute_0_96, refute_0_117])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_119, plain,
% 0.60/0.81 ('E'(s(0), f(suc(suc(X_148)))) | 'LE'(f(X_148), s(0)) |
% 0.60/0.81 'LE'(f(suc(suc(X_148))), s(s(0)))),
% 0.60/0.81 inference(subst, [], [refute_0_118 : [bind(X_147, $fot(X_148))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_120, plain,
% 0.60/0.81 ('E'(s(0), f(suc(suc(X_148)))) | 'LE'(f(X_148), s(0))),
% 0.60/0.81 inference(resolve, [$cnf('LE'(f(suc(suc(X_148))), s(s(0))))],
% 0.60/0.81 [refute_0_119, refute_0_92])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_121, plain,
% 0.60/0.81 ('E'(s(0), f(suc(suc(X_149)))) | 'LE'(f(X_149), s(0))),
% 0.60/0.81 inference(subst, [], [refute_0_120 : [bind(X_148, $fot(X_149))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_122, plain,
% 0.60/0.81 (~ 'E'(f(X_149), f(suc(X_149))) | ~ 'E'(s(0), f(X_149)) |
% 0.60/0.81 ~ 'E'(s(0), f(suc(X_149))) | 'LE'(f(X_149), s(0)) |
% 0.60/0.81 iLEQ(suc(X_149), suc(X_149))),
% 0.60/0.81 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_149)))))],
% 0.60/0.81 [refute_0_121, refute_0_91])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_123, plain,
% 0.60/0.81 (~ 'E'(f(X_157), f(suc(X_157))) | ~ 'E'(s(0), f(X_157)) |
% 0.60/0.81 ~ 'E'(s(0), f(suc(X_157))) | 'LE'(f(X_157), s(0)) |
% 0.60/0.81 iLEQ(suc(X_157), suc(X_157))),
% 0.60/0.81 inference(subst, [], [refute_0_122 : [bind(X_149, $fot(X_157))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_124, plain,
% 0.60/0.81 (~ 'E'(f(X_157), f(suc(X_157))) | ~ 'E'(s(0), f(X_157)) |
% 0.60/0.81 'LE'(f(X_157), s(0)) | iLEQ(suc(X_157), suc(X_157))),
% 0.60/0.81 inference(resolve, [$cnf('E'(s(0), f(suc(X_157))))],
% 0.60/0.81 [refute_0_90, refute_0_123])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_125, plain,
% 0.60/0.81 (~ 'E'(f(suc(X_194)), f(suc(suc(X_194)))) |
% 0.60/0.81 ~ 'E'(s(0), f(suc(X_194))) | 'LE'(f(suc(X_194)), s(0)) |
% 0.60/0.81 iLEQ(suc(suc(X_194)), suc(suc(X_194)))),
% 0.60/0.81 inference(subst, [],
% 0.60/0.81 [refute_0_124 : [bind(X_157, $fot(suc(X_194)))]])).
% 0.60/0.81
% 0.60/0.81 cnf(refute_0_126, plain,
% 0.60/0.81 (~ 'E'(s(0), f(X_113)) | ~ 'E'(s(0), f(suc(X_113))) |
% 0.60/0.81 'E'(f(X_113), f(suc(X_113))) | iLEQ(suc(X_113), suc(X_113))),
% 0.60/0.81 inference(subst, [], [clause_60 : [bind(A_2, $fot(X_113))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_127, plain, ('E'(s(0), f(suc(X_113))) | 'LE'(f(X_113), s(0))),
% 0.60/0.82 inference(subst, [], [refute_0_89 : [bind(X_112, $fot(X_113))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_128, plain,
% 0.60/0.82 (~ 'E'(s(0), f(X_113)) | 'E'(f(X_113), f(suc(X_113))) |
% 0.60/0.82 'LE'(f(X_113), s(0)) | iLEQ(suc(X_113), suc(X_113))),
% 0.60/0.82 inference(resolve, [$cnf('E'(s(0), f(suc(X_113))))],
% 0.60/0.82 [refute_0_127, refute_0_126])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_129, plain,
% 0.60/0.82 (~ 'E'(s(0), f(suc(B_35))) | 'E'(f(suc(B_35)), f(suc(suc(B_35)))) |
% 0.60/0.82 'LE'(f(suc(B_35)), s(0)) | iLEQ(suc(suc(B_35)), suc(suc(B_35)))),
% 0.60/0.82 inference(subst, [], [refute_0_128 : [bind(X_113, $fot(suc(B_35)))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_130, plain,
% 0.60/0.82 ('E'(0, f(suc(B_35))) | 'E'(f(suc(B_35)), f(suc(suc(B_35)))) |
% 0.60/0.82 'LE'(f(B_35), 0) | 'LE'(f(suc(B_35)), s(0)) |
% 0.60/0.82 iLEQ(suc(suc(B_35)), suc(suc(B_35)))),
% 0.60/0.82 inference(resolve, [$cnf('E'(s(0), f(suc(B_35))))],
% 0.60/0.82 [refute_0_58, refute_0_129])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_131, plain,
% 0.60/0.82 ('E'(0, f(suc(X_194))) | 'E'(f(suc(X_194)), f(suc(suc(X_194)))) |
% 0.60/0.82 'LE'(f(X_194), 0) | 'LE'(f(suc(X_194)), s(0)) |
% 0.60/0.82 iLEQ(suc(suc(X_194)), suc(suc(X_194)))),
% 0.60/0.82 inference(subst, [], [refute_0_130 : [bind(B_35, $fot(X_194))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_132, plain,
% 0.60/0.82 (~ 'E'(s(0), f(suc(X_194))) | 'E'(0, f(suc(X_194))) |
% 0.60/0.82 'LE'(f(X_194), 0) | 'LE'(f(suc(X_194)), s(0)) |
% 0.60/0.82 iLEQ(suc(suc(X_194)), suc(suc(X_194)))),
% 0.60/0.82 inference(resolve, [$cnf('E'(f(suc(X_194)), f(suc(suc(X_194)))))],
% 0.60/0.82 [refute_0_131, refute_0_125])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_133, plain,
% 0.60/0.82 (~ 'E'(s(0), f(suc(X_195))) | 'E'(0, f(suc(X_195))) |
% 0.60/0.82 'LE'(f(X_195), 0) | 'LE'(f(suc(X_195)), s(0)) |
% 0.60/0.82 iLEQ(suc(suc(X_195)), suc(suc(X_195)))),
% 0.60/0.82 inference(subst, [], [refute_0_132 : [bind(X_194, $fot(X_195))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_134, plain,
% 0.60/0.82 ('E'(0, f(suc(X_195))) | 'LE'(f(X_195), 0) |
% 0.60/0.82 'LE'(f(suc(X_195)), s(0)) | iLEQ(suc(suc(X_195)), suc(suc(X_195)))),
% 0.60/0.82 inference(resolve, [$cnf('E'(s(0), f(suc(X_195))))],
% 0.60/0.82 [refute_0_60, refute_0_133])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_135, plain,
% 0.60/0.82 ('E'(0, f(suc(X_221))) | 'LE'(f(X_221), 0) |
% 0.60/0.82 'LE'(f(suc(X_221)), s(0)) | iLEQ(suc(suc(X_221)), suc(suc(X_221)))),
% 0.60/0.82 inference(subst, [], [refute_0_134 : [bind(X_195, $fot(X_221))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_136, plain, ('E'(s(0), f(suc(X_155))) | 'LE'(f(X_155), s(0))),
% 0.60/0.82 inference(subst, [], [refute_0_89 : [bind(X_112, $fot(X_155))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_137, plain,
% 0.60/0.82 (~ 'E'(f(X_149), f(suc(X_149))) | ~ 'E'(s(0), f(X_149)) |
% 0.60/0.82 ~ 'E'(s(0), f(suc(X_149))) | ~ 'E'(s(0), f(suc(suc(X_149)))) |
% 0.60/0.82 ~ iLEQ(suc(X_149), suc(X_149))),
% 0.60/0.82 inference(subst, [],
% 0.60/0.82 [clause_219 :
% 0.60/0.82 [bind(A_2, $fot(X_149)), bind(B_29, $fot(X_149)),
% 0.60/0.82 bind(B_30, $fot(X_149))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_138, plain,
% 0.60/0.82 (~ 'E'(f(X_149), f(suc(X_149))) | ~ 'E'(s(0), f(X_149)) |
% 0.60/0.82 ~ 'E'(s(0), f(suc(X_149))) | ~ iLEQ(suc(X_149), suc(X_149)) |
% 0.60/0.82 'LE'(f(X_149), s(0))),
% 0.60/0.82 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_149)))))],
% 0.60/0.82 [refute_0_121, refute_0_137])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_139, plain,
% 0.60/0.82 (~ 'E'(f(X_155), f(suc(X_155))) | ~ 'E'(s(0), f(X_155)) |
% 0.60/0.82 ~ 'E'(s(0), f(suc(X_155))) | ~ iLEQ(suc(X_155), suc(X_155)) |
% 0.60/0.82 'LE'(f(X_155), s(0))),
% 0.60/0.82 inference(subst, [], [refute_0_138 : [bind(X_149, $fot(X_155))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_140, plain,
% 0.60/0.82 (~ 'E'(f(X_155), f(suc(X_155))) | ~ 'E'(s(0), f(X_155)) |
% 0.60/0.82 ~ iLEQ(suc(X_155), suc(X_155)) | 'LE'(f(X_155), s(0))),
% 0.60/0.82 inference(resolve, [$cnf('E'(s(0), f(suc(X_155))))],
% 0.60/0.82 [refute_0_136, refute_0_139])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_141, plain,
% 0.60/0.82 (~ 'E'(f(suc(X_204)), f(suc(suc(X_204)))) |
% 0.60/0.82 ~ 'E'(s(0), f(suc(X_204))) |
% 0.60/0.82 ~ iLEQ(suc(suc(X_204)), suc(suc(X_204))) | 'LE'(f(suc(X_204)), s(0))),
% 0.60/0.82 inference(subst, [],
% 0.60/0.82 [refute_0_140 : [bind(X_155, $fot(suc(X_204)))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_142, plain,
% 0.60/0.82 ('E'(0, f(suc(X_203))) | 'E'(s(0), f(suc(X_203))) | 'LE'(f(X_203), 0)),
% 0.60/0.82 inference(subst, [], [refute_0_58 : [bind(B_35, $fot(X_203))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_143, plain,
% 0.60/0.82 (~ 'E'(s(0), f(X_113)) | ~ 'E'(s(0), f(suc(X_113))) |
% 0.60/0.82 ~ iLEQ(suc(X_113), suc(X_113)) | 'E'(f(X_113), f(suc(X_113)))),
% 0.60/0.82 inference(subst, [],
% 0.60/0.82 [clause_340 :
% 0.60/0.82 [bind(A_2, $fot(X_113)), bind(B_29, $fot(X_113)),
% 0.60/0.82 bind(B_30, $fot(X_113))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_144, plain,
% 0.60/0.82 (~ 'E'(s(0), f(X_113)) | ~ iLEQ(suc(X_113), suc(X_113)) |
% 0.60/0.82 'E'(f(X_113), f(suc(X_113))) | 'LE'(f(X_113), s(0))),
% 0.60/0.82 inference(resolve, [$cnf('E'(s(0), f(suc(X_113))))],
% 0.60/0.82 [refute_0_127, refute_0_143])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_145, plain,
% 0.60/0.82 (~ 'E'(s(0), f(suc(X_196))) |
% 0.60/0.82 ~ iLEQ(suc(suc(X_196)), suc(suc(X_196))) |
% 0.60/0.82 'E'(f(suc(X_196)), f(suc(suc(X_196)))) | 'LE'(f(suc(X_196)), s(0))),
% 0.60/0.82 inference(subst, [],
% 0.60/0.82 [refute_0_144 : [bind(X_113, $fot(suc(X_196)))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_146, plain,
% 0.60/0.82 ('E'(0, f(suc(X_196))) | 'LE'(f(X_196), 0) |
% 0.60/0.82 'LE'(f(suc(X_196)), s(0)) | iLEQ(suc(suc(X_196)), suc(suc(X_196)))),
% 0.60/0.82 inference(subst, [], [refute_0_134 : [bind(X_195, $fot(X_196))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_147, plain,
% 0.60/0.82 (~ 'E'(s(0), f(suc(X_196))) | 'E'(0, f(suc(X_196))) |
% 0.60/0.82 'E'(f(suc(X_196)), f(suc(suc(X_196)))) | 'LE'(f(X_196), 0) |
% 0.60/0.82 'LE'(f(suc(X_196)), s(0))),
% 0.60/0.82 inference(resolve, [$cnf(iLEQ(suc(suc(X_196)), suc(suc(X_196))))],
% 0.60/0.82 [refute_0_146, refute_0_145])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_148, plain,
% 0.60/0.82 (~ 'E'(s(0), f(suc(X_203))) | 'E'(0, f(suc(X_203))) |
% 0.60/0.82 'E'(f(suc(X_203)), f(suc(suc(X_203)))) | 'LE'(f(X_203), 0) |
% 0.60/0.82 'LE'(f(suc(X_203)), s(0))),
% 0.60/0.82 inference(subst, [], [refute_0_147 : [bind(X_196, $fot(X_203))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_149, plain,
% 0.60/0.82 ('E'(0, f(suc(X_203))) | 'E'(f(suc(X_203)), f(suc(suc(X_203)))) |
% 0.60/0.82 'LE'(f(X_203), 0) | 'LE'(f(suc(X_203)), s(0))),
% 0.60/0.82 inference(resolve, [$cnf('E'(s(0), f(suc(X_203))))],
% 0.60/0.82 [refute_0_142, refute_0_148])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_150, plain,
% 0.60/0.82 ('E'(0, f(suc(X_204))) | 'E'(f(suc(X_204)), f(suc(suc(X_204)))) |
% 0.60/0.82 'LE'(f(X_204), 0) | 'LE'(f(suc(X_204)), s(0))),
% 0.60/0.82 inference(subst, [], [refute_0_149 : [bind(X_203, $fot(X_204))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_151, plain,
% 0.60/0.82 (~ 'E'(s(0), f(suc(X_204))) |
% 0.60/0.82 ~ iLEQ(suc(suc(X_204)), suc(suc(X_204))) | 'E'(0, f(suc(X_204))) |
% 0.60/0.82 'LE'(f(X_204), 0) | 'LE'(f(suc(X_204)), s(0))),
% 0.60/0.82 inference(resolve, [$cnf('E'(f(suc(X_204)), f(suc(suc(X_204)))))],
% 0.60/0.82 [refute_0_150, refute_0_141])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_152, plain,
% 0.60/0.82 (~ 'E'(s(0), f(suc(X_221))) |
% 0.60/0.82 ~ iLEQ(suc(suc(X_221)), suc(suc(X_221))) | 'E'(0, f(suc(X_221))) |
% 0.60/0.82 'LE'(f(X_221), 0) | 'LE'(f(suc(X_221)), s(0))),
% 0.60/0.82 inference(subst, [], [refute_0_151 : [bind(X_204, $fot(X_221))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_153, plain,
% 0.60/0.82 (~ 'E'(s(0), f(suc(X_221))) | 'E'(0, f(suc(X_221))) |
% 0.60/0.82 'LE'(f(X_221), 0) | 'LE'(f(suc(X_221)), s(0))),
% 0.60/0.82 inference(resolve, [$cnf(iLEQ(suc(suc(X_221)), suc(suc(X_221))))],
% 0.60/0.82 [refute_0_135, refute_0_152])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_154, plain,
% 0.60/0.82 (~ 'E'(s(0), f(suc(X_222))) | 'E'(0, f(suc(X_222))) |
% 0.60/0.82 'LE'(f(X_222), 0) | 'LE'(f(suc(X_222)), s(0))),
% 0.60/0.82 inference(subst, [], [refute_0_153 : [bind(X_221, $fot(X_222))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_155, plain,
% 0.60/0.82 ('E'(0, f(suc(X_222))) | 'LE'(f(X_222), 0) |
% 0.60/0.82 'LE'(f(suc(X_222)), s(0))),
% 0.60/0.82 inference(resolve, [$cnf('E'(s(0), f(suc(X_222))))],
% 0.60/0.82 [refute_0_59, refute_0_154])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_156, plain,
% 0.60/0.82 ('E'(0, f(suc(X_223))) | 'LE'(f(X_223), 0) |
% 0.60/0.82 'LE'(f(suc(X_223)), s(0))),
% 0.60/0.82 inference(subst, [], [refute_0_155 : [bind(X_222, $fot(X_223))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_157, plain, ('E'(0, f(suc(X_223))) | 'LE'(f(X_223), 0)),
% 0.60/0.82 inference(resolve, [$cnf('LE'(f(suc(X_223)), s(0)))],
% 0.60/0.82 [refute_0_156, refute_0_0])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_158, plain, ('E'(0, f(suc(z))) | 'LE'(f(z), 0)),
% 0.60/0.82 inference(subst, [], [refute_0_157 : [bind(X_223, $fot(z))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_159, plain,
% 0.60/0.82 (~ 'LE'(f(suc(suc(X_251))), s(0)) | 'E'(0, f(suc(suc(X_251)))) |
% 0.60/0.82 'LE'(f(X_251), 0)),
% 0.60/0.82 inference(subst, [], [clause_72 : [bind(B_35, $fot(X_251))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_160, plain,
% 0.60/0.82 ('E'(s(0), f(suc(suc(B_35)))) | 'LE'(f(suc(suc(B_35))), s(0))),
% 0.60/0.82 inference(subst, [],
% 0.60/0.82 [refute_0_56 : [bind(X_65, $fot(suc(suc(B_35))))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_161, plain,
% 0.60/0.82 ('E'(0, f(suc(suc(B_35)))) | 'E'(s(0), f(suc(suc(B_35)))) |
% 0.60/0.82 'LE'(f(B_35), 0)),
% 0.60/0.82 inference(resolve, [$cnf('LE'(f(suc(suc(B_35))), s(0)))],
% 0.60/0.82 [refute_0_160, clause_72])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_162, plain,
% 0.60/0.82 ('E'(0, f(suc(suc(X_250)))) | 'E'(s(0), f(suc(suc(X_250)))) |
% 0.60/0.82 'LE'(f(X_250), 0)),
% 0.60/0.82 inference(subst, [], [refute_0_161 : [bind(B_35, $fot(X_250))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_163, plain,
% 0.60/0.82 ('E'(0, f(suc(suc(X_218)))) | 'E'(s(0), f(suc(suc(X_218)))) |
% 0.60/0.82 'LE'(f(X_218), 0)),
% 0.60/0.82 inference(subst, [], [refute_0_161 : [bind(B_35, $fot(X_218))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_164, plain,
% 0.60/0.82 (~ 'E'(f(suc(suc(X_198))), f(suc(suc(suc(X_198))))) |
% 0.60/0.82 ~ 'E'(s(0), f(suc(suc(X_198)))) | 'LE'(f(suc(suc(X_198))), s(0)) |
% 0.60/0.82 iLEQ(suc(suc(suc(X_198))), suc(suc(suc(X_198))))),
% 0.60/0.82 inference(subst, [],
% 0.60/0.82 [refute_0_124 : [bind(X_157, $fot(suc(suc(X_198))))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_165, plain,
% 0.60/0.82 (~ 'E'(s(0), f(suc(suc(B_35)))) |
% 0.60/0.82 'E'(f(suc(suc(B_35))), f(suc(suc(suc(B_35))))) |
% 0.60/0.82 'LE'(f(suc(suc(B_35))), s(0)) |
% 0.60/0.82 iLEQ(suc(suc(suc(B_35))), suc(suc(suc(B_35))))),
% 0.60/0.82 inference(subst, [],
% 0.60/0.82 [refute_0_128 : [bind(X_113, $fot(suc(suc(B_35))))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_166, plain,
% 0.60/0.82 ('E'(0, f(suc(suc(B_35)))) |
% 0.60/0.82 'E'(f(suc(suc(B_35))), f(suc(suc(suc(B_35))))) | 'LE'(f(B_35), 0) |
% 0.60/0.82 'LE'(f(suc(suc(B_35))), s(0)) |
% 0.60/0.82 iLEQ(suc(suc(suc(B_35))), suc(suc(suc(B_35))))),
% 0.60/0.82 inference(resolve, [$cnf('E'(s(0), f(suc(suc(B_35)))))],
% 0.60/0.82 [refute_0_161, refute_0_165])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_167, plain,
% 0.60/0.82 ('E'(0, f(suc(suc(X_198)))) |
% 0.60/0.82 'E'(f(suc(suc(X_198))), f(suc(suc(suc(X_198))))) | 'LE'(f(X_198), 0) |
% 0.60/0.82 'LE'(f(suc(suc(X_198))), s(0)) |
% 0.60/0.82 iLEQ(suc(suc(suc(X_198))), suc(suc(suc(X_198))))),
% 0.60/0.82 inference(subst, [], [refute_0_166 : [bind(B_35, $fot(X_198))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_168, plain,
% 0.60/0.82 (~ 'E'(s(0), f(suc(suc(X_198)))) | 'E'(0, f(suc(suc(X_198)))) |
% 0.60/0.82 'LE'(f(X_198), 0) | 'LE'(f(suc(suc(X_198))), s(0)) |
% 0.60/0.82 iLEQ(suc(suc(suc(X_198))), suc(suc(suc(X_198))))),
% 0.60/0.82 inference(resolve,
% 0.60/0.82 [$cnf('E'(f(suc(suc(X_198))), f(suc(suc(suc(X_198))))))],
% 0.60/0.82 [refute_0_167, refute_0_164])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_169, plain,
% 0.60/0.82 (~ 'E'(s(0), f(suc(suc(X_218)))) | 'E'(0, f(suc(suc(X_218)))) |
% 0.60/0.82 'LE'(f(X_218), 0) | 'LE'(f(suc(suc(X_218))), s(0)) |
% 0.60/0.82 iLEQ(suc(suc(suc(X_218))), suc(suc(suc(X_218))))),
% 0.60/0.82 inference(subst, [], [refute_0_168 : [bind(X_198, $fot(X_218))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_170, plain,
% 0.60/0.82 ('E'(0, f(suc(suc(X_218)))) | 'LE'(f(X_218), 0) |
% 0.60/0.82 'LE'(f(suc(suc(X_218))), s(0)) |
% 0.60/0.82 iLEQ(suc(suc(suc(X_218))), suc(suc(suc(X_218))))),
% 0.60/0.82 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_218)))))],
% 0.60/0.82 [refute_0_163, refute_0_169])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_171, plain,
% 0.60/0.82 ('E'(0, f(suc(suc(X_249)))) | 'LE'(f(X_249), 0) |
% 0.60/0.82 'LE'(f(suc(suc(X_249))), s(0)) |
% 0.60/0.82 iLEQ(suc(suc(suc(X_249))), suc(suc(suc(X_249))))),
% 0.60/0.82 inference(subst, [], [refute_0_170 : [bind(X_218, $fot(X_249))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_172, plain,
% 0.60/0.82 (~ 'E'(f(suc(suc(X_238))), f(suc(suc(suc(X_238))))) |
% 0.60/0.82 ~ 'E'(s(0), f(suc(suc(X_238)))) |
% 0.60/0.82 ~ iLEQ(suc(suc(suc(X_238))), suc(suc(suc(X_238)))) |
% 0.60/0.82 'LE'(f(suc(suc(X_238))), s(0))),
% 0.60/0.82 inference(subst, [],
% 0.60/0.82 [refute_0_140 : [bind(X_155, $fot(suc(suc(X_238))))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_173, plain,
% 0.60/0.82 ('E'(0, f(suc(suc(X_237)))) | 'E'(s(0), f(suc(suc(X_237)))) |
% 0.60/0.82 'LE'(f(X_237), 0)),
% 0.60/0.82 inference(subst, [], [refute_0_161 : [bind(B_35, $fot(X_237))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_174, plain,
% 0.60/0.82 (~ 'E'(s(0), f(suc(suc(X_219)))) |
% 0.60/0.82 ~ iLEQ(suc(suc(suc(X_219))), suc(suc(suc(X_219)))) |
% 0.60/0.82 'E'(f(suc(suc(X_219))), f(suc(suc(suc(X_219))))) |
% 0.60/0.82 'LE'(f(suc(suc(X_219))), s(0))),
% 0.60/0.82 inference(subst, [],
% 0.60/0.82 [refute_0_144 : [bind(X_113, $fot(suc(suc(X_219))))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_175, plain,
% 0.60/0.82 ('E'(0, f(suc(suc(X_219)))) | 'LE'(f(X_219), 0) |
% 0.60/0.82 'LE'(f(suc(suc(X_219))), s(0)) |
% 0.60/0.82 iLEQ(suc(suc(suc(X_219))), suc(suc(suc(X_219))))),
% 0.60/0.82 inference(subst, [], [refute_0_170 : [bind(X_218, $fot(X_219))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_176, plain,
% 0.60/0.82 (~ 'E'(s(0), f(suc(suc(X_219)))) | 'E'(0, f(suc(suc(X_219)))) |
% 0.60/0.82 'E'(f(suc(suc(X_219))), f(suc(suc(suc(X_219))))) | 'LE'(f(X_219), 0) |
% 0.60/0.82 'LE'(f(suc(suc(X_219))), s(0))),
% 0.60/0.82 inference(resolve,
% 0.60/0.82 [$cnf(iLEQ(suc(suc(suc(X_219))), suc(suc(suc(X_219)))))],
% 0.60/0.82 [refute_0_175, refute_0_174])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_177, plain,
% 0.60/0.82 (~ 'E'(s(0), f(suc(suc(X_237)))) | 'E'(0, f(suc(suc(X_237)))) |
% 0.60/0.82 'E'(f(suc(suc(X_237))), f(suc(suc(suc(X_237))))) | 'LE'(f(X_237), 0) |
% 0.60/0.82 'LE'(f(suc(suc(X_237))), s(0))),
% 0.60/0.82 inference(subst, [], [refute_0_176 : [bind(X_219, $fot(X_237))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_178, plain,
% 0.60/0.82 ('E'(0, f(suc(suc(X_237)))) |
% 0.60/0.82 'E'(f(suc(suc(X_237))), f(suc(suc(suc(X_237))))) | 'LE'(f(X_237), 0) |
% 0.60/0.82 'LE'(f(suc(suc(X_237))), s(0))),
% 0.60/0.82 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_237)))))],
% 0.60/0.82 [refute_0_173, refute_0_177])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_179, plain,
% 0.60/0.82 ('E'(0, f(suc(suc(X_238)))) |
% 0.60/0.82 'E'(f(suc(suc(X_238))), f(suc(suc(suc(X_238))))) | 'LE'(f(X_238), 0) |
% 0.60/0.82 'LE'(f(suc(suc(X_238))), s(0))),
% 0.60/0.82 inference(subst, [], [refute_0_178 : [bind(X_237, $fot(X_238))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_180, plain,
% 0.60/0.82 (~ 'E'(s(0), f(suc(suc(X_238)))) |
% 0.60/0.82 ~ iLEQ(suc(suc(suc(X_238))), suc(suc(suc(X_238)))) |
% 0.60/0.82 'E'(0, f(suc(suc(X_238)))) | 'LE'(f(X_238), 0) |
% 0.60/0.82 'LE'(f(suc(suc(X_238))), s(0))),
% 0.60/0.82 inference(resolve,
% 0.60/0.82 [$cnf('E'(f(suc(suc(X_238))), f(suc(suc(suc(X_238))))))],
% 0.60/0.82 [refute_0_179, refute_0_172])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_181, plain,
% 0.60/0.82 (~ 'E'(s(0), f(suc(suc(X_249)))) |
% 0.60/0.82 ~ iLEQ(suc(suc(suc(X_249))), suc(suc(suc(X_249)))) |
% 0.60/0.82 'E'(0, f(suc(suc(X_249)))) | 'LE'(f(X_249), 0) |
% 0.60/0.82 'LE'(f(suc(suc(X_249))), s(0))),
% 0.60/0.82 inference(subst, [], [refute_0_180 : [bind(X_238, $fot(X_249))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_182, plain,
% 0.60/0.82 (~ 'E'(s(0), f(suc(suc(X_249)))) | 'E'(0, f(suc(suc(X_249)))) |
% 0.60/0.82 'LE'(f(X_249), 0) | 'LE'(f(suc(suc(X_249))), s(0))),
% 0.60/0.82 inference(resolve,
% 0.60/0.82 [$cnf(iLEQ(suc(suc(suc(X_249))), suc(suc(suc(X_249)))))],
% 0.60/0.82 [refute_0_171, refute_0_181])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_183, plain,
% 0.60/0.82 (~ 'E'(s(0), f(suc(suc(X_250)))) | 'E'(0, f(suc(suc(X_250)))) |
% 0.60/0.82 'LE'(f(X_250), 0) | 'LE'(f(suc(suc(X_250))), s(0))),
% 0.60/0.82 inference(subst, [], [refute_0_182 : [bind(X_249, $fot(X_250))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_184, plain,
% 0.60/0.82 ('E'(0, f(suc(suc(X_250)))) | 'LE'(f(X_250), 0) |
% 0.60/0.82 'LE'(f(suc(suc(X_250))), s(0))),
% 0.60/0.82 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_250)))))],
% 0.60/0.82 [refute_0_162, refute_0_183])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_185, plain,
% 0.60/0.82 ('E'(0, f(suc(suc(X_251)))) | 'LE'(f(X_251), 0) |
% 0.60/0.82 'LE'(f(suc(suc(X_251))), s(0))),
% 0.60/0.82 inference(subst, [], [refute_0_184 : [bind(X_250, $fot(X_251))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_186, plain, ('E'(0, f(suc(suc(X_251)))) | 'LE'(f(X_251), 0)),
% 0.60/0.82 inference(resolve, [$cnf('LE'(f(suc(suc(X_251))), s(0)))],
% 0.60/0.82 [refute_0_185, refute_0_159])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_187, plain, ('E'(0, f(suc(suc(z)))) | 'LE'(f(z), 0)),
% 0.60/0.82 inference(subst, [], [refute_0_186 : [bind(X_251, $fot(z))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_188, plain,
% 0.60/0.82 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 0.60/0.82 ~ 'E'(f(z), f(suc(z))) | ~ iLEQ(suc(z), suc(z))),
% 0.60/0.82 inference(subst, [],
% 0.60/0.82 [clause_83 :
% 0.60/0.82 [bind(A_3, $fot(z)), bind(B_36, $fot(z)),
% 0.60/0.82 bind(B_37, $fot(z))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_189, plain,
% 0.60/0.82 (~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) | ~ iLEQ(suc(z), suc(z)) |
% 0.60/0.82 'E'(f(z), f(suc(z)))),
% 0.60/0.82 inference(subst, [],
% 0.60/0.82 [clause_16 :
% 0.60/0.82 [bind(A_3, $fot(z)), bind(B_36, $fot(z)),
% 0.60/0.82 bind(B_37, $fot(z))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_190, plain,
% 0.60/0.82 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 0.60/0.82 ~ 'E'(f(z), f(suc(z))) | iLEQ(suc(z), suc(z))),
% 0.60/0.82 inference(subst, [], [clause_116 : [bind(A_3, $fot(z))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_191, plain,
% 0.60/0.82 (~ 'LE'(f(X_192), s(0)) | 'E'(0, f(X_192)) | 'LE'(f(X_192), 0)),
% 0.60/0.82 inference(subst, [], [clause_307 : [bind(B_35, $fot(X_192))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_192, plain,
% 0.60/0.82 (~ 'LE'(f(X_66), s(0)) | 'E'(0, f(X_66)) | 'LE'(f(X_66), 0)),
% 0.60/0.82 inference(subst, [], [clause_307 : [bind(B_35, $fot(X_66))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_193, plain, ('E'(s(0), f(X_66)) | 'LE'(f(X_66), s(0))),
% 0.60/0.82 inference(subst, [], [refute_0_56 : [bind(X_65, $fot(X_66))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_194, plain,
% 0.60/0.82 ('E'(0, f(X_66)) | 'E'(s(0), f(X_66)) | 'LE'(f(X_66), 0)),
% 0.60/0.82 inference(resolve, [$cnf('LE'(f(X_66), s(0)))],
% 0.60/0.82 [refute_0_193, refute_0_192])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_195, plain,
% 0.60/0.82 ('E'(0, f(X_191)) | 'E'(s(0), f(X_191)) | 'LE'(f(X_191), 0)),
% 0.60/0.82 inference(subst, [], [refute_0_194 : [bind(X_66, $fot(X_191))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_196, plain,
% 0.60/0.82 ('E'(0, f(X_165)) | 'E'(s(0), f(X_165)) | 'LE'(f(X_165), 0)),
% 0.60/0.82 inference(subst, [], [refute_0_194 : [bind(X_66, $fot(X_165))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_197, plain,
% 0.60/0.82 ('E'(0, f(X_115)) | 'E'(s(0), f(X_115)) | 'LE'(f(X_115), 0)),
% 0.60/0.82 inference(subst, [], [refute_0_194 : [bind(X_66, $fot(X_115))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_198, plain,
% 0.60/0.82 (~ 'E'(s(0), f(X_115)) | 'E'(f(X_115), f(suc(X_115))) |
% 0.60/0.82 'LE'(f(X_115), s(0)) | iLEQ(suc(X_115), suc(X_115))),
% 0.60/0.82 inference(subst, [], [refute_0_128 : [bind(X_113, $fot(X_115))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_199, plain,
% 0.60/0.82 ('E'(0, f(X_115)) | 'E'(f(X_115), f(suc(X_115))) | 'LE'(f(X_115), 0) |
% 0.60/0.82 'LE'(f(X_115), s(0)) | iLEQ(suc(X_115), suc(X_115))),
% 0.60/0.82 inference(resolve, [$cnf('E'(s(0), f(X_115)))],
% 0.60/0.82 [refute_0_197, refute_0_198])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_200, plain,
% 0.60/0.82 ('E'(0, f(X_158)) | 'E'(f(X_158), f(suc(X_158))) | 'LE'(f(X_158), 0) |
% 0.60/0.82 'LE'(f(X_158), s(0)) | iLEQ(suc(X_158), suc(X_158))),
% 0.60/0.82 inference(subst, [], [refute_0_199 : [bind(X_115, $fot(X_158))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_201, plain,
% 0.60/0.82 (~ 'E'(f(X_158), f(suc(X_158))) | ~ 'E'(s(0), f(X_158)) |
% 0.60/0.82 'LE'(f(X_158), s(0)) | iLEQ(suc(X_158), suc(X_158))),
% 0.60/0.82 inference(subst, [], [refute_0_124 : [bind(X_157, $fot(X_158))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_202, plain,
% 0.60/0.82 (~ 'E'(s(0), f(X_158)) | 'E'(0, f(X_158)) | 'LE'(f(X_158), 0) |
% 0.60/0.82 'LE'(f(X_158), s(0)) | iLEQ(suc(X_158), suc(X_158))),
% 0.60/0.82 inference(resolve, [$cnf('E'(f(X_158), f(suc(X_158))))],
% 0.60/0.82 [refute_0_200, refute_0_201])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_203, plain,
% 0.60/0.82 (~ 'E'(s(0), f(X_165)) | 'E'(0, f(X_165)) | 'LE'(f(X_165), 0) |
% 0.60/0.82 'LE'(f(X_165), s(0)) | iLEQ(suc(X_165), suc(X_165))),
% 0.60/0.82 inference(subst, [], [refute_0_202 : [bind(X_158, $fot(X_165))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_204, plain,
% 0.60/0.82 ('E'(0, f(X_165)) | 'LE'(f(X_165), 0) | 'LE'(f(X_165), s(0)) |
% 0.60/0.82 iLEQ(suc(X_165), suc(X_165))),
% 0.60/0.82 inference(resolve, [$cnf('E'(s(0), f(X_165)))],
% 0.60/0.82 [refute_0_196, refute_0_203])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_205, plain,
% 0.60/0.82 ('E'(0, f(X_190)) | 'LE'(f(X_190), 0) | 'LE'(f(X_190), s(0)) |
% 0.60/0.82 iLEQ(suc(X_190), suc(X_190))),
% 0.60/0.82 inference(subst, [], [refute_0_204 : [bind(X_165, $fot(X_190))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_206, plain,
% 0.60/0.82 (~ 'E'(f(X_180), f(suc(X_180))) | ~ 'E'(s(0), f(X_180)) |
% 0.60/0.82 ~ iLEQ(suc(X_180), suc(X_180)) | 'LE'(f(X_180), s(0))),
% 0.60/0.82 inference(subst, [], [refute_0_140 : [bind(X_155, $fot(X_180))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_207, plain,
% 0.60/0.82 ('E'(0, f(X_179)) | 'E'(s(0), f(X_179)) | 'LE'(f(X_179), 0)),
% 0.60/0.82 inference(subst, [], [refute_0_194 : [bind(X_66, $fot(X_179))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_208, plain,
% 0.60/0.82 (~ 'E'(s(0), f(X_166)) | ~ iLEQ(suc(X_166), suc(X_166)) |
% 0.60/0.82 'E'(f(X_166), f(suc(X_166))) | 'LE'(f(X_166), s(0))),
% 0.60/0.82 inference(subst, [], [refute_0_144 : [bind(X_113, $fot(X_166))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_209, plain,
% 0.60/0.82 ('E'(0, f(X_166)) | 'LE'(f(X_166), 0) | 'LE'(f(X_166), s(0)) |
% 0.60/0.82 iLEQ(suc(X_166), suc(X_166))),
% 0.60/0.82 inference(subst, [], [refute_0_204 : [bind(X_165, $fot(X_166))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_210, plain,
% 0.60/0.82 (~ 'E'(s(0), f(X_166)) | 'E'(0, f(X_166)) |
% 0.60/0.82 'E'(f(X_166), f(suc(X_166))) | 'LE'(f(X_166), 0) |
% 0.60/0.82 'LE'(f(X_166), s(0))),
% 0.60/0.82 inference(resolve, [$cnf(iLEQ(suc(X_166), suc(X_166)))],
% 0.60/0.82 [refute_0_209, refute_0_208])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_211, plain,
% 0.60/0.82 (~ 'E'(s(0), f(X_179)) | 'E'(0, f(X_179)) |
% 0.60/0.82 'E'(f(X_179), f(suc(X_179))) | 'LE'(f(X_179), 0) |
% 0.60/0.82 'LE'(f(X_179), s(0))),
% 0.60/0.82 inference(subst, [], [refute_0_210 : [bind(X_166, $fot(X_179))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_212, plain,
% 0.60/0.82 ('E'(0, f(X_179)) | 'E'(f(X_179), f(suc(X_179))) | 'LE'(f(X_179), 0) |
% 0.60/0.82 'LE'(f(X_179), s(0))),
% 0.60/0.82 inference(resolve, [$cnf('E'(s(0), f(X_179)))],
% 0.60/0.82 [refute_0_207, refute_0_211])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_213, plain,
% 0.60/0.82 ('E'(0, f(X_180)) | 'E'(f(X_180), f(suc(X_180))) | 'LE'(f(X_180), 0) |
% 0.60/0.82 'LE'(f(X_180), s(0))),
% 0.60/0.82 inference(subst, [], [refute_0_212 : [bind(X_179, $fot(X_180))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_214, plain,
% 0.60/0.82 (~ 'E'(s(0), f(X_180)) | ~ iLEQ(suc(X_180), suc(X_180)) |
% 0.60/0.82 'E'(0, f(X_180)) | 'LE'(f(X_180), 0) | 'LE'(f(X_180), s(0))),
% 0.60/0.82 inference(resolve, [$cnf('E'(f(X_180), f(suc(X_180))))],
% 0.60/0.82 [refute_0_213, refute_0_206])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_215, plain,
% 0.60/0.82 (~ 'E'(s(0), f(X_190)) | ~ iLEQ(suc(X_190), suc(X_190)) |
% 0.60/0.82 'E'(0, f(X_190)) | 'LE'(f(X_190), 0) | 'LE'(f(X_190), s(0))),
% 0.60/0.82 inference(subst, [], [refute_0_214 : [bind(X_180, $fot(X_190))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_216, plain,
% 0.60/0.82 (~ 'E'(s(0), f(X_190)) | 'E'(0, f(X_190)) | 'LE'(f(X_190), 0) |
% 0.60/0.82 'LE'(f(X_190), s(0))),
% 0.60/0.82 inference(resolve, [$cnf(iLEQ(suc(X_190), suc(X_190)))],
% 0.60/0.82 [refute_0_205, refute_0_215])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_217, plain,
% 0.60/0.82 (~ 'E'(s(0), f(X_191)) | 'E'(0, f(X_191)) | 'LE'(f(X_191), 0) |
% 0.60/0.82 'LE'(f(X_191), s(0))),
% 0.60/0.82 inference(subst, [], [refute_0_216 : [bind(X_190, $fot(X_191))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_218, plain,
% 0.60/0.82 ('E'(0, f(X_191)) | 'LE'(f(X_191), 0) | 'LE'(f(X_191), s(0))),
% 0.60/0.82 inference(resolve, [$cnf('E'(s(0), f(X_191)))],
% 0.60/0.82 [refute_0_195, refute_0_217])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_219, plain,
% 0.60/0.82 ('E'(0, f(X_192)) | 'LE'(f(X_192), 0) | 'LE'(f(X_192), s(0))),
% 0.60/0.82 inference(subst, [], [refute_0_218 : [bind(X_191, $fot(X_192))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_220, plain, ('E'(0, f(X_192)) | 'LE'(f(X_192), 0)),
% 0.60/0.82 inference(resolve, [$cnf('LE'(f(X_192), s(0)))],
% 0.60/0.82 [refute_0_219, refute_0_191])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_221, plain, ('E'(0, f(z)) | 'LE'(f(z), 0)),
% 0.60/0.82 inference(subst, [], [refute_0_220 : [bind(X_192, $fot(z))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_222, plain, ('E'(0, f(z))),
% 0.60/0.82 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_221, clause_211])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_223, plain,
% 0.60/0.82 (~ 'E'(0, f(X_224)) | ~ 'E'(0, f(suc(X_224))) |
% 0.60/0.82 'E'(f(X_224), f(suc(X_224))) | iLEQ(suc(X_224), suc(X_224))),
% 0.60/0.82 inference(subst, [], [clause_86 : [bind(A_3, $fot(X_224))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_224, plain, ('E'(0, f(suc(X_224))) | 'LE'(f(X_224), 0)),
% 0.60/0.82 inference(subst, [], [refute_0_157 : [bind(X_223, $fot(X_224))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_225, plain,
% 0.60/0.82 (~ 'E'(0, f(X_224)) | 'E'(f(X_224), f(suc(X_224))) |
% 0.60/0.82 'LE'(f(X_224), 0) | iLEQ(suc(X_224), suc(X_224))),
% 0.60/0.82 inference(resolve, [$cnf('E'(0, f(suc(X_224))))],
% 0.60/0.82 [refute_0_224, refute_0_223])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_226, plain,
% 0.60/0.82 (~ 'E'(0, f(z)) | 'E'(f(z), f(suc(z))) | 'LE'(f(z), 0) |
% 0.60/0.82 iLEQ(suc(z), suc(z))),
% 0.60/0.82 inference(subst, [], [refute_0_225 : [bind(X_224, $fot(z))]])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_227, plain,
% 0.60/0.82 ('E'(f(z), f(suc(z))) | 'LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 0.60/0.82 inference(resolve, [$cnf('E'(0, f(z)))],
% 0.60/0.82 [refute_0_222, refute_0_226])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_228, plain, ('E'(f(z), f(suc(z))) | iLEQ(suc(z), suc(z))),
% 0.60/0.82 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_227, clause_211])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_229, plain,
% 0.60/0.82 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 0.60/0.82 iLEQ(suc(z), suc(z))),
% 0.60/0.82 inference(resolve, [$cnf('E'(f(z), f(suc(z))))],
% 0.60/0.82 [refute_0_228, refute_0_190])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_230, plain,
% 0.60/0.82 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) |
% 0.60/0.82 iLEQ(suc(z), suc(z))),
% 0.60/0.82 inference(resolve, [$cnf('E'(0, f(z)))],
% 0.60/0.82 [refute_0_222, refute_0_229])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_231, plain,
% 0.60/0.82 (~ 'E'(0, f(suc(z))) | 'LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 0.60/0.82 inference(resolve, [$cnf('E'(0, f(suc(suc(z)))))],
% 0.60/0.82 [refute_0_187, refute_0_230])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_232, plain, (~ 'E'(0, f(suc(z))) | iLEQ(suc(z), suc(z))),
% 0.60/0.82 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_231, clause_211])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_233, plain, ('LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 0.60/0.82 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 0.60/0.82 [refute_0_158, refute_0_232])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_234, plain, (iLEQ(suc(z), suc(z))),
% 0.60/0.82 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_233, clause_211])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_235, plain,
% 0.60/0.82 (~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) | 'E'(f(z), f(suc(z)))),
% 0.60/0.82 inference(resolve, [$cnf(iLEQ(suc(z), suc(z)))],
% 0.60/0.82 [refute_0_234, refute_0_189])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_236, plain, (~ 'E'(0, f(suc(z))) | 'E'(f(z), f(suc(z)))),
% 0.60/0.82 inference(resolve, [$cnf('E'(0, f(z)))],
% 0.60/0.82 [refute_0_222, refute_0_235])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_237, plain, ('E'(f(z), f(suc(z))) | 'LE'(f(z), 0)),
% 0.60/0.82 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 0.60/0.82 [refute_0_158, refute_0_236])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_238, plain, ('E'(f(z), f(suc(z)))),
% 0.60/0.82 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_237, clause_211])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_239, plain,
% 0.60/0.82 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 0.60/0.82 ~ iLEQ(suc(z), suc(z))),
% 0.60/0.82 inference(resolve, [$cnf('E'(f(z), f(suc(z))))],
% 0.60/0.82 [refute_0_238, refute_0_188])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_240, plain,
% 0.60/0.82 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) |
% 0.60/0.82 ~ iLEQ(suc(z), suc(z))),
% 0.60/0.82 inference(resolve, [$cnf('E'(0, f(z)))],
% 0.60/0.82 [refute_0_222, refute_0_239])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_241, plain, (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z)))),
% 0.60/0.82 inference(resolve, [$cnf(iLEQ(suc(z), suc(z)))],
% 0.60/0.82 [refute_0_234, refute_0_240])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_242, plain, (~ 'E'(0, f(suc(z))) | 'LE'(f(z), 0)),
% 0.60/0.82 inference(resolve, [$cnf('E'(0, f(suc(suc(z)))))],
% 0.60/0.82 [refute_0_187, refute_0_241])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_243, plain, (~ 'E'(0, f(suc(z)))),
% 0.60/0.82 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_242, clause_211])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_244, plain, ('LE'(f(z), 0)),
% 0.60/0.82 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 0.60/0.82 [refute_0_158, refute_0_243])).
% 0.60/0.82
% 0.60/0.82 cnf(refute_0_245, plain, ($false),
% 0.60/0.82 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_244, clause_211])).
% 0.60/0.82 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.82
%------------------------------------------------------------------------------