TSTP Solution File: SYO663-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYO663-1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n013.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 18:40:45 EDT 2022
% Result : Unsatisfiable 0.47s 0.64s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO663-1 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jul 9 01:33:44 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.47/0.64 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.64
% 0.47/0.64 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.65 cnf(clause_458, axiom,
% 0.47/0.65 (~ 'LE'(f(B_35), s(0)) | 'E'(0, f(B_35)) | 'LE'(f(B_35), 0))).
% 0.47/0.65
% 0.47/0.65 cnf(clause_12, axiom,
% 0.47/0.65 (~ iLEQ(suc(B_25), suc(B_26)) | ~ 'E'(s(0), f(B_24)) |
% 0.47/0.65 ~ 'E'(s(0), f(suc(B_25))) | ~ 'E'(s(0), f(suc(suc(A_1)))) |
% 0.47/0.65 ~ 'E'(s(0), f(B_26)) | ~ 'E'(s(0), f(A_1)) |
% 0.47/0.65 ~ iLEQ(suc(B_24), suc(B_25)) | ~ 'E'(f(B_24), f(suc(B_24))) |
% 0.47/0.65 ~ 'E'(f(B_26), f(suc(B_26))) | ~ 'E'(s(0), f(suc(A_1))) |
% 0.47/0.65 ~ 'E'(s(0), f(suc(B_24))) | ~ 'E'(s(0), f(suc(suc(B_26)))) |
% 0.47/0.65 ~ iLEQ(suc(A_1), suc(B_24)) | ~ 'E'(s(0), f(suc(suc(B_25)))) |
% 0.47/0.65 ~ 'E'(s(0), f(B_25)) | ~ 'E'(f(B_25), f(suc(B_25))) |
% 0.47/0.65 ~ 'E'(f(A_1), f(suc(A_1))) | ~ 'E'(s(0), f(suc(B_26))) |
% 0.47/0.65 ~ 'E'(s(0), f(suc(suc(B_24)))))).
% 0.47/0.65
% 0.47/0.65 cnf(clause_55, axiom,
% 0.47/0.65 (~ 'E'(s(0), f(suc(suc(A_1)))) | ~ 'E'(s(0), f(suc(A_1))) |
% 0.47/0.65 ~ 'E'(f(A_1), f(suc(A_1))) | ~ 'E'(s(0), f(A_1)) |
% 0.47/0.65 iLEQ(suc(A_1), suc(A_1)))).
% 0.47/0.65
% 0.47/0.65 cnf(clause_312, axiom,
% 0.47/0.65 (~ 'LE'(f(suc(suc(B_23))), s(s(0))) | 'E'(s(0), f(suc(suc(B_23)))) |
% 0.47/0.65 'LE'(f(B_23), s(0)))).
% 0.47/0.65
% 0.47/0.65 cnf(clause_324, axiom,
% 0.47/0.65 (~ 'E'(0, f(A_2)) | ~ 'E'(0, f(suc(A_2))) | 'E'(f(A_2), f(suc(A_2))) |
% 0.47/0.65 iLEQ(suc(A_2), suc(A_2)))).
% 0.47/0.65
% 0.47/0.65 cnf(clause_216, axiom, ('LE'(f(A), s(s(0))))).
% 0.47/0.65
% 0.47/0.65 cnf(clause_539, axiom,
% 0.47/0.65 (~ 'LE'(f(suc(B_35)), s(0)) | 'E'(0, f(suc(B_35))) |
% 0.47/0.65 'LE'(f(B_35), 0))).
% 0.47/0.65
% 0.47/0.65 cnf(clause_325, axiom,
% 0.47/0.65 (~ 'E'(0, f(suc(A_2))) | ~ 'E'(0, f(B_36)) | ~ 'E'(0, f(A_2)) |
% 0.47/0.65 ~ iLEQ(suc(B_37), suc(B_38)) | ~ 'E'(0, f(suc(B_36))) |
% 0.47/0.65 ~ iLEQ(suc(A_2), suc(B_36)) | ~ 'E'(0, f(suc(B_37))) |
% 0.47/0.65 ~ 'E'(0, f(B_37)) | ~ 'E'(0, f(suc(B_38))) | ~ 'E'(0, f(B_38)) |
% 0.47/0.65 ~ iLEQ(suc(B_36), suc(B_37)) | 'E'(f(A_2), f(suc(A_2))) |
% 0.47/0.65 'E'(f(B_36), f(suc(B_36))) | 'E'(f(B_37), f(suc(B_37))) |
% 0.47/0.65 'E'(f(B_38), f(suc(B_38))))).
% 0.47/0.65
% 0.47/0.65 cnf(clause_371, axiom,
% 0.47/0.65 (~ iLEQ(suc(B_25), suc(B_26)) | ~ 'E'(s(0), f(B_24)) |
% 0.47/0.65 ~ 'E'(s(0), f(suc(B_25))) | ~ 'E'(s(0), f(B_26)) |
% 0.47/0.65 ~ 'E'(s(0), f(A_1)) | ~ iLEQ(suc(B_24), suc(B_25)) |
% 0.47/0.65 ~ 'E'(s(0), f(suc(A_1))) | ~ 'E'(s(0), f(suc(B_24))) |
% 0.47/0.65 ~ iLEQ(suc(A_1), suc(B_24)) | ~ 'E'(s(0), f(B_25)) |
% 0.47/0.65 ~ 'E'(s(0), f(suc(B_26))) | 'E'(f(A_1), f(suc(A_1))) |
% 0.47/0.65 'E'(f(B_24), f(suc(B_24))) | 'E'(f(B_25), f(suc(B_25))) |
% 0.47/0.65 'E'(f(B_26), f(suc(B_26))))).
% 0.47/0.65
% 0.47/0.65 cnf(clause_292, axiom, (~ 'LE'(f(z), 0))).
% 0.47/0.65
% 0.47/0.65 cnf(clause_93, axiom,
% 0.47/0.65 (~ 'LE'(f(suc(suc(B_35))), s(0)) | 'E'(0, f(suc(suc(B_35)))) |
% 0.47/0.65 'LE'(f(B_35), 0))).
% 0.47/0.65
% 0.47/0.65 cnf(clause_327, axiom,
% 0.47/0.65 (~ 'LE'(f(B_23), s(s(0))) | 'E'(s(0), f(B_23)) | 'LE'(f(B_23), s(0)))).
% 0.47/0.65
% 0.47/0.65 cnf(clause_593, axiom,
% 0.47/0.65 (~ 'E'(0, f(suc(A_2))) | ~ 'E'(0, f(suc(suc(A_2)))) |
% 0.47/0.65 ~ 'E'(0, f(B_36)) | ~ 'E'(0, f(suc(suc(B_36)))) | ~ 'E'(0, f(A_2)) |
% 0.47/0.65 ~ 'E'(f(B_38), f(suc(B_38))) | ~ 'E'(0, f(suc(suc(B_37)))) |
% 0.47/0.65 ~ iLEQ(suc(B_37), suc(B_38)) | ~ 'E'(0, f(suc(B_36))) |
% 0.47/0.65 ~ iLEQ(suc(A_2), suc(B_36)) | ~ 'E'(f(B_36), f(suc(B_36))) |
% 0.47/0.65 ~ 'E'(0, f(suc(B_37))) | ~ 'E'(0, f(B_37)) |
% 0.47/0.65 ~ 'E'(0, f(suc(suc(B_38)))) | ~ 'E'(0, f(suc(B_38))) |
% 0.47/0.65 ~ 'E'(f(B_37), f(suc(B_37))) | ~ 'E'(0, f(B_38)) |
% 0.47/0.65 ~ 'E'(f(A_2), f(suc(A_2))) | ~ iLEQ(suc(B_36), suc(B_37)))).
% 0.47/0.65
% 0.47/0.65 cnf(clause_268, axiom,
% 0.47/0.65 (~ 'E'(s(0), f(A_1)) | ~ 'E'(s(0), f(suc(A_1))) |
% 0.47/0.65 'E'(f(A_1), f(suc(A_1))) | iLEQ(suc(A_1), suc(A_1)))).
% 0.47/0.65
% 0.47/0.65 cnf(clause_448, axiom,
% 0.47/0.65 (~ 'E'(0, f(suc(suc(A_2)))) | ~ 'E'(0, f(suc(A_2))) |
% 0.47/0.65 ~ 'E'(f(A_2), f(suc(A_2))) | ~ 'E'(0, f(A_2)) |
% 0.47/0.65 iLEQ(suc(A_2), suc(A_2)))).
% 0.47/0.65
% 0.47/0.65 cnf(clause_564, axiom,
% 0.47/0.65 (~ 'LE'(f(suc(B_23)), s(s(0))) | 'E'(s(0), f(suc(B_23))) |
% 0.47/0.65 'LE'(f(B_23), s(0)))).
% 0.47/0.65
% 0.47/0.65 cnf(refute_0_0, plain,
% 0.47/0.65 (~ 'LE'(f(suc(X_75)), s(0)) | 'E'(0, f(suc(X_75))) | 'LE'(f(X_75), 0)),
% 0.47/0.65 inference(subst, [], [clause_539 : [bind(B_35, $fot(X_75))]])).
% 0.47/0.65
% 0.47/0.65 cnf(refute_0_1, plain, ('LE'(f(B_23), s(s(0)))),
% 0.47/0.65 inference(subst, [], [clause_216 : [bind(A, $fot(B_23))]])).
% 0.47/0.65
% 0.47/0.65 cnf(refute_0_2, plain, ('E'(s(0), f(B_23)) | 'LE'(f(B_23), s(0))),
% 0.47/0.65 inference(resolve, [$cnf('LE'(f(B_23), s(s(0))))],
% 0.47/0.65 [refute_0_1, clause_327])).
% 0.47/0.65
% 0.47/0.65 cnf(refute_0_3, plain, ('E'(s(0), f(suc(X_8))) | 'LE'(f(suc(X_8)), s(0))),
% 0.47/0.65 inference(subst, [], [refute_0_2 : [bind(B_23, $fot(suc(X_8)))]])).
% 0.47/0.65
% 0.47/0.65 cnf(refute_0_4, plain,
% 0.47/0.65 (~ 'LE'(f(suc(X_8)), s(0)) | 'E'(0, f(suc(X_8))) | 'LE'(f(X_8), 0)),
% 0.47/0.65 inference(subst, [], [clause_539 : [bind(B_35, $fot(X_8))]])).
% 0.47/0.65
% 0.47/0.65 cnf(refute_0_5, plain,
% 0.47/0.65 ('E'(0, f(suc(X_8))) | 'E'(s(0), f(suc(X_8))) | 'LE'(f(X_8), 0)),
% 0.47/0.65 inference(resolve, [$cnf('LE'(f(suc(X_8)), s(0)))],
% 0.47/0.65 [refute_0_3, refute_0_4])).
% 0.47/0.65
% 0.47/0.65 cnf(refute_0_6, plain,
% 0.47/0.65 ('E'(0, f(suc(X_74))) | 'E'(s(0), f(suc(X_74))) | 'LE'(f(X_74), 0)),
% 0.47/0.65 inference(subst, [], [refute_0_5 : [bind(X_8, $fot(X_74))]])).
% 0.47/0.65
% 0.47/0.65 cnf(refute_0_7, plain,
% 0.47/0.65 ('E'(0, f(suc(X_69))) | 'E'(s(0), f(suc(X_69))) | 'LE'(f(X_69), 0)),
% 0.47/0.65 inference(subst, [], [refute_0_5 : [bind(X_8, $fot(X_69))]])).
% 0.47/0.65
% 0.47/0.65 cnf(refute_0_8, plain, ('LE'(f(suc(B_23)), s(s(0)))),
% 0.47/0.65 inference(subst, [], [clause_216 : [bind(A, $fot(suc(B_23)))]])).
% 0.47/0.65
% 0.47/0.65 cnf(refute_0_9, plain, ('E'(s(0), f(suc(B_23))) | 'LE'(f(B_23), s(0))),
% 0.47/0.65 inference(resolve, [$cnf('LE'(f(suc(B_23)), s(s(0))))],
% 0.47/0.65 [refute_0_8, clause_564])).
% 0.47/0.65
% 0.47/0.65 cnf(refute_0_10, plain, ('E'(s(0), f(suc(X_29))) | 'LE'(f(X_29), s(0))),
% 0.47/0.65 inference(subst, [], [refute_0_9 : [bind(B_23, $fot(X_29))]])).
% 0.47/0.65
% 0.47/0.65 cnf(refute_0_11, plain, ('LE'(f(suc(suc(B_23))), s(s(0)))),
% 0.47/0.65 inference(subst, [], [clause_216 : [bind(A, $fot(suc(suc(B_23))))]])).
% 0.47/0.65
% 0.47/0.65 cnf(refute_0_12, plain,
% 0.47/0.65 ('E'(s(0), f(suc(suc(B_23)))) | 'LE'(f(B_23), s(0))),
% 0.47/0.65 inference(resolve, [$cnf('LE'(f(suc(suc(B_23))), s(s(0))))],
% 0.47/0.65 [refute_0_11, clause_312])).
% 0.47/0.65
% 0.47/0.65 cnf(refute_0_13, plain,
% 0.47/0.65 ('E'(s(0), f(suc(suc(X_20)))) | 'LE'(f(X_20), s(0))),
% 0.47/0.65 inference(subst, [], [refute_0_12 : [bind(B_23, $fot(X_20))]])).
% 0.47/0.65
% 0.47/0.65 cnf(refute_0_14, plain,
% 0.47/0.65 (~ 'E'(f(X_20), f(suc(X_20))) | ~ 'E'(s(0), f(X_20)) |
% 0.47/0.65 ~ 'E'(s(0), f(suc(X_20))) | ~ 'E'(s(0), f(suc(suc(X_20)))) |
% 0.47/0.65 iLEQ(suc(X_20), suc(X_20))),
% 0.47/0.65 inference(subst, [], [clause_55 : [bind(A_1, $fot(X_20))]])).
% 0.47/0.65
% 0.47/0.65 cnf(refute_0_15, plain,
% 0.47/0.65 (~ 'E'(f(X_20), f(suc(X_20))) | ~ 'E'(s(0), f(X_20)) |
% 0.47/0.65 ~ 'E'(s(0), f(suc(X_20))) | 'LE'(f(X_20), s(0)) |
% 0.47/0.65 iLEQ(suc(X_20), suc(X_20))),
% 0.47/0.65 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_20)))))],
% 0.47/0.65 [refute_0_13, refute_0_14])).
% 0.47/0.65
% 0.47/0.65 cnf(refute_0_16, plain,
% 0.47/0.65 (~ 'E'(f(X_29), f(suc(X_29))) | ~ 'E'(s(0), f(X_29)) |
% 0.47/0.65 ~ 'E'(s(0), f(suc(X_29))) | 'LE'(f(X_29), s(0)) |
% 0.47/0.65 iLEQ(suc(X_29), suc(X_29))),
% 0.47/0.65 inference(subst, [], [refute_0_15 : [bind(X_20, $fot(X_29))]])).
% 0.47/0.65
% 0.47/0.65 cnf(refute_0_17, plain,
% 0.47/0.65 (~ 'E'(f(X_29), f(suc(X_29))) | ~ 'E'(s(0), f(X_29)) |
% 0.47/0.65 'LE'(f(X_29), s(0)) | iLEQ(suc(X_29), suc(X_29))),
% 0.47/0.65 inference(resolve, [$cnf('E'(s(0), f(suc(X_29))))],
% 0.47/0.65 [refute_0_10, refute_0_16])).
% 0.47/0.65
% 0.47/0.65 cnf(refute_0_18, plain,
% 0.47/0.65 (~ 'E'(f(suc(X_68)), f(suc(suc(X_68)))) | ~ 'E'(s(0), f(suc(X_68))) |
% 0.47/0.65 'LE'(f(suc(X_68)), s(0)) | iLEQ(suc(suc(X_68)), suc(suc(X_68)))),
% 0.47/0.65 inference(subst, [], [refute_0_17 : [bind(X_29, $fot(suc(X_68)))]])).
% 0.47/0.65
% 0.47/0.65 cnf(refute_0_19, plain, ('E'(s(0), f(suc(X_12))) | 'LE'(f(X_12), s(0))),
% 0.47/0.65 inference(subst, [], [refute_0_9 : [bind(B_23, $fot(X_12))]])).
% 0.47/0.65
% 0.47/0.65 cnf(refute_0_20, plain,
% 0.47/0.65 (~ 'E'(s(0), f(X_12)) | ~ 'E'(s(0), f(suc(X_12))) |
% 0.47/0.65 'E'(f(X_12), f(suc(X_12))) | iLEQ(suc(X_12), suc(X_12))),
% 0.47/0.65 inference(subst, [], [clause_268 : [bind(A_1, $fot(X_12))]])).
% 0.47/0.65
% 0.47/0.65 cnf(refute_0_21, plain,
% 0.47/0.65 (~ 'E'(s(0), f(X_12)) | 'E'(f(X_12), f(suc(X_12))) |
% 0.47/0.65 'LE'(f(X_12), s(0)) | iLEQ(suc(X_12), suc(X_12))),
% 0.47/0.65 inference(resolve, [$cnf('E'(s(0), f(suc(X_12))))],
% 0.47/0.65 [refute_0_19, refute_0_20])).
% 0.47/0.65
% 0.47/0.65 cnf(refute_0_22, plain,
% 0.47/0.65 (~ 'E'(s(0), f(suc(X_8))) | 'E'(f(suc(X_8)), f(suc(suc(X_8)))) |
% 0.47/0.65 'LE'(f(suc(X_8)), s(0)) | iLEQ(suc(suc(X_8)), suc(suc(X_8)))),
% 0.47/0.65 inference(subst, [], [refute_0_21 : [bind(X_12, $fot(suc(X_8)))]])).
% 0.47/0.65
% 0.47/0.65 cnf(refute_0_23, plain,
% 0.47/0.65 ('E'(0, f(suc(X_8))) | 'E'(f(suc(X_8)), f(suc(suc(X_8)))) |
% 0.47/0.65 'LE'(f(X_8), 0) | 'LE'(f(suc(X_8)), s(0)) |
% 0.47/0.65 iLEQ(suc(suc(X_8)), suc(suc(X_8)))),
% 0.47/0.65 inference(resolve, [$cnf('E'(s(0), f(suc(X_8))))],
% 0.47/0.65 [refute_0_5, refute_0_22])).
% 0.47/0.65
% 0.47/0.65 cnf(refute_0_24, plain,
% 0.47/0.65 ('E'(0, f(suc(X_68))) | 'E'(f(suc(X_68)), f(suc(suc(X_68)))) |
% 0.47/0.65 'LE'(f(X_68), 0) | 'LE'(f(suc(X_68)), s(0)) |
% 0.47/0.65 iLEQ(suc(suc(X_68)), suc(suc(X_68)))),
% 0.47/0.65 inference(subst, [], [refute_0_23 : [bind(X_8, $fot(X_68))]])).
% 0.47/0.65
% 0.47/0.65 cnf(refute_0_25, plain,
% 0.47/0.65 (~ 'E'(s(0), f(suc(X_68))) | 'E'(0, f(suc(X_68))) | 'LE'(f(X_68), 0) |
% 0.47/0.65 'LE'(f(suc(X_68)), s(0)) | iLEQ(suc(suc(X_68)), suc(suc(X_68)))),
% 0.47/0.65 inference(resolve, [$cnf('E'(f(suc(X_68)), f(suc(suc(X_68)))))],
% 0.47/0.65 [refute_0_24, refute_0_18])).
% 0.47/0.65
% 0.47/0.65 cnf(refute_0_26, plain,
% 0.47/0.65 (~ 'E'(s(0), f(suc(X_69))) | 'E'(0, f(suc(X_69))) | 'LE'(f(X_69), 0) |
% 0.47/0.65 'LE'(f(suc(X_69)), s(0)) | iLEQ(suc(suc(X_69)), suc(suc(X_69)))),
% 0.47/0.65 inference(subst, [], [refute_0_25 : [bind(X_68, $fot(X_69))]])).
% 0.47/0.65
% 0.47/0.65 cnf(refute_0_27, plain,
% 0.47/0.65 ('E'(0, f(suc(X_69))) | 'LE'(f(X_69), 0) | 'LE'(f(suc(X_69)), s(0)) |
% 0.47/0.65 iLEQ(suc(suc(X_69)), suc(suc(X_69)))),
% 0.47/0.65 inference(resolve, [$cnf('E'(s(0), f(suc(X_69))))],
% 0.47/0.65 [refute_0_7, refute_0_26])).
% 0.47/0.65
% 0.47/0.65 cnf(refute_0_28, plain,
% 0.47/0.65 ('E'(0, f(suc(X_73))) | 'LE'(f(X_73), 0) | 'LE'(f(suc(X_73)), s(0)) |
% 0.47/0.65 iLEQ(suc(suc(X_73)), suc(suc(X_73)))),
% 0.47/0.65 inference(subst, [], [refute_0_27 : [bind(X_69, $fot(X_73))]])).
% 0.47/0.65
% 0.47/0.65 cnf(refute_0_29, plain, ('E'(s(0), f(suc(X_27))) | 'LE'(f(X_27), s(0))),
% 0.47/0.65 inference(subst, [], [refute_0_9 : [bind(B_23, $fot(X_27))]])).
% 0.47/0.65
% 0.47/0.65 cnf(refute_0_30, plain,
% 0.47/0.65 ('E'(s(0), f(suc(suc(X_21)))) | 'LE'(f(X_21), s(0))),
% 0.47/0.65 inference(subst, [], [refute_0_12 : [bind(B_23, $fot(X_21))]])).
% 0.47/0.65
% 0.47/0.65 cnf(refute_0_31, plain,
% 0.47/0.65 (~ 'E'(f(X_21), f(suc(X_21))) | ~ 'E'(s(0), f(X_21)) |
% 0.47/0.65 ~ 'E'(s(0), f(suc(X_21))) | ~ 'E'(s(0), f(suc(suc(X_21)))) |
% 0.47/0.65 ~ iLEQ(suc(X_21), suc(X_21))),
% 0.47/0.65 inference(subst, [],
% 0.47/0.65 [clause_12 :
% 0.47/0.65 [bind(A_1, $fot(X_21)), bind(B_24, $fot(X_21)),
% 0.47/0.65 bind(B_25, $fot(X_21)), bind(B_26, $fot(X_21))]])).
% 0.47/0.65
% 0.47/0.65 cnf(refute_0_32, plain,
% 0.47/0.65 (~ 'E'(f(X_21), f(suc(X_21))) | ~ 'E'(s(0), f(X_21)) |
% 0.47/0.65 ~ 'E'(s(0), f(suc(X_21))) | ~ iLEQ(suc(X_21), suc(X_21)) |
% 0.47/0.65 'LE'(f(X_21), s(0))),
% 0.47/0.65 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_21)))))],
% 0.47/0.65 [refute_0_30, refute_0_31])).
% 0.47/0.65
% 0.47/0.65 cnf(refute_0_33, plain,
% 0.47/0.65 (~ 'E'(f(X_27), f(suc(X_27))) | ~ 'E'(s(0), f(X_27)) |
% 0.47/0.65 ~ 'E'(s(0), f(suc(X_27))) | ~ iLEQ(suc(X_27), suc(X_27)) |
% 0.47/0.65 'LE'(f(X_27), s(0))),
% 0.47/0.65 inference(subst, [], [refute_0_32 : [bind(X_21, $fot(X_27))]])).
% 0.47/0.65
% 0.47/0.65 cnf(refute_0_34, plain,
% 0.47/0.65 (~ 'E'(f(X_27), f(suc(X_27))) | ~ 'E'(s(0), f(X_27)) |
% 0.47/0.65 ~ iLEQ(suc(X_27), suc(X_27)) | 'LE'(f(X_27), s(0))),
% 0.47/0.65 inference(resolve, [$cnf('E'(s(0), f(suc(X_27))))],
% 0.47/0.65 [refute_0_29, refute_0_33])).
% 0.47/0.65
% 0.47/0.65 cnf(refute_0_35, plain,
% 0.47/0.65 (~ 'E'(f(suc(X_72)), f(suc(suc(X_72)))) | ~ 'E'(s(0), f(suc(X_72))) |
% 0.47/0.65 ~ iLEQ(suc(suc(X_72)), suc(suc(X_72))) | 'LE'(f(suc(X_72)), s(0))),
% 0.47/0.65 inference(subst, [], [refute_0_34 : [bind(X_27, $fot(suc(X_72)))]])).
% 0.47/0.65
% 0.47/0.65 cnf(refute_0_36, plain,
% 0.47/0.65 ('E'(0, f(suc(X_71))) | 'E'(s(0), f(suc(X_71))) | 'LE'(f(X_71), 0)),
% 0.47/0.65 inference(subst, [], [refute_0_5 : [bind(X_8, $fot(X_71))]])).
% 0.47/0.65
% 0.47/0.65 cnf(refute_0_37, plain, ('E'(s(0), f(suc(X_13))) | 'LE'(f(X_13), s(0))),
% 0.47/0.65 inference(subst, [], [refute_0_9 : [bind(B_23, $fot(X_13))]])).
% 0.47/0.65
% 0.47/0.65 cnf(refute_0_38, plain,
% 0.47/0.65 (~ 'E'(s(0), f(X_13)) | ~ 'E'(s(0), f(suc(X_13))) |
% 0.47/0.65 ~ iLEQ(suc(X_13), suc(X_13)) | 'E'(f(X_13), f(suc(X_13)))),
% 0.47/0.65 inference(subst, [],
% 0.47/0.65 [clause_371 :
% 0.47/0.65 [bind(A_1, $fot(X_13)), bind(B_24, $fot(X_13)),
% 0.47/0.65 bind(B_25, $fot(X_13)), bind(B_26, $fot(X_13))]])).
% 0.47/0.65
% 0.47/0.65 cnf(refute_0_39, plain,
% 0.47/0.65 (~ 'E'(s(0), f(X_13)) | ~ iLEQ(suc(X_13), suc(X_13)) |
% 0.47/0.65 'E'(f(X_13), f(suc(X_13))) | 'LE'(f(X_13), s(0))),
% 0.47/0.65 inference(resolve, [$cnf('E'(s(0), f(suc(X_13))))],
% 0.47/0.65 [refute_0_37, refute_0_38])).
% 0.47/0.65
% 0.47/0.65 cnf(refute_0_40, plain,
% 0.47/0.65 (~ 'E'(s(0), f(suc(X_70))) | ~ iLEQ(suc(suc(X_70)), suc(suc(X_70))) |
% 0.47/0.65 'E'(f(suc(X_70)), f(suc(suc(X_70)))) | 'LE'(f(suc(X_70)), s(0))),
% 0.47/0.65 inference(subst, [], [refute_0_39 : [bind(X_13, $fot(suc(X_70)))]])).
% 0.47/0.65
% 0.47/0.65 cnf(refute_0_41, plain,
% 0.47/0.65 ('E'(0, f(suc(X_70))) | 'LE'(f(X_70), 0) | 'LE'(f(suc(X_70)), s(0)) |
% 0.47/0.65 iLEQ(suc(suc(X_70)), suc(suc(X_70)))),
% 0.47/0.65 inference(subst, [], [refute_0_27 : [bind(X_69, $fot(X_70))]])).
% 0.47/0.65
% 0.47/0.65 cnf(refute_0_42, plain,
% 0.47/0.65 (~ 'E'(s(0), f(suc(X_70))) | 'E'(0, f(suc(X_70))) |
% 0.47/0.65 'E'(f(suc(X_70)), f(suc(suc(X_70)))) | 'LE'(f(X_70), 0) |
% 0.47/0.65 'LE'(f(suc(X_70)), s(0))),
% 0.47/0.65 inference(resolve, [$cnf(iLEQ(suc(suc(X_70)), suc(suc(X_70))))],
% 0.47/0.65 [refute_0_41, refute_0_40])).
% 0.47/0.65
% 0.47/0.65 cnf(refute_0_43, plain,
% 0.47/0.65 (~ 'E'(s(0), f(suc(X_71))) | 'E'(0, f(suc(X_71))) |
% 0.47/0.65 'E'(f(suc(X_71)), f(suc(suc(X_71)))) | 'LE'(f(X_71), 0) |
% 0.47/0.65 'LE'(f(suc(X_71)), s(0))),
% 0.47/0.65 inference(subst, [], [refute_0_42 : [bind(X_70, $fot(X_71))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_44, plain,
% 0.47/0.66 ('E'(0, f(suc(X_71))) | 'E'(f(suc(X_71)), f(suc(suc(X_71)))) |
% 0.47/0.66 'LE'(f(X_71), 0) | 'LE'(f(suc(X_71)), s(0))),
% 0.47/0.66 inference(resolve, [$cnf('E'(s(0), f(suc(X_71))))],
% 0.47/0.66 [refute_0_36, refute_0_43])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_45, plain,
% 0.47/0.66 ('E'(0, f(suc(X_72))) | 'E'(f(suc(X_72)), f(suc(suc(X_72)))) |
% 0.47/0.66 'LE'(f(X_72), 0) | 'LE'(f(suc(X_72)), s(0))),
% 0.47/0.66 inference(subst, [], [refute_0_44 : [bind(X_71, $fot(X_72))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_46, plain,
% 0.47/0.66 (~ 'E'(s(0), f(suc(X_72))) | ~ iLEQ(suc(suc(X_72)), suc(suc(X_72))) |
% 0.47/0.66 'E'(0, f(suc(X_72))) | 'LE'(f(X_72), 0) | 'LE'(f(suc(X_72)), s(0))),
% 0.47/0.66 inference(resolve, [$cnf('E'(f(suc(X_72)), f(suc(suc(X_72)))))],
% 0.47/0.66 [refute_0_45, refute_0_35])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_47, plain,
% 0.47/0.66 (~ 'E'(s(0), f(suc(X_73))) | ~ iLEQ(suc(suc(X_73)), suc(suc(X_73))) |
% 0.47/0.66 'E'(0, f(suc(X_73))) | 'LE'(f(X_73), 0) | 'LE'(f(suc(X_73)), s(0))),
% 0.47/0.66 inference(subst, [], [refute_0_46 : [bind(X_72, $fot(X_73))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_48, plain,
% 0.47/0.66 (~ 'E'(s(0), f(suc(X_73))) | 'E'(0, f(suc(X_73))) | 'LE'(f(X_73), 0) |
% 0.47/0.66 'LE'(f(suc(X_73)), s(0))),
% 0.47/0.66 inference(resolve, [$cnf(iLEQ(suc(suc(X_73)), suc(suc(X_73))))],
% 0.47/0.66 [refute_0_28, refute_0_47])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_49, plain,
% 0.47/0.66 (~ 'E'(s(0), f(suc(X_74))) | 'E'(0, f(suc(X_74))) | 'LE'(f(X_74), 0) |
% 0.47/0.66 'LE'(f(suc(X_74)), s(0))),
% 0.47/0.66 inference(subst, [], [refute_0_48 : [bind(X_73, $fot(X_74))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_50, plain,
% 0.47/0.66 ('E'(0, f(suc(X_74))) | 'LE'(f(X_74), 0) | 'LE'(f(suc(X_74)), s(0))),
% 0.47/0.66 inference(resolve, [$cnf('E'(s(0), f(suc(X_74))))],
% 0.47/0.66 [refute_0_6, refute_0_49])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_51, plain,
% 0.47/0.66 ('E'(0, f(suc(X_75))) | 'LE'(f(X_75), 0) | 'LE'(f(suc(X_75)), s(0))),
% 0.47/0.66 inference(subst, [], [refute_0_50 : [bind(X_74, $fot(X_75))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_52, plain, ('E'(0, f(suc(X_75))) | 'LE'(f(X_75), 0)),
% 0.47/0.66 inference(resolve, [$cnf('LE'(f(suc(X_75)), s(0)))],
% 0.47/0.66 [refute_0_51, refute_0_0])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_53, plain, ('E'(0, f(suc(z))) | 'LE'(f(z), 0)),
% 0.47/0.66 inference(subst, [], [refute_0_52 : [bind(X_75, $fot(z))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_54, plain,
% 0.47/0.66 (~ 'LE'(f(suc(suc(X_92))), s(0)) | 'E'(0, f(suc(suc(X_92)))) |
% 0.47/0.66 'LE'(f(X_92), 0)),
% 0.47/0.66 inference(subst, [], [clause_93 : [bind(B_35, $fot(X_92))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_55, plain,
% 0.47/0.66 ('E'(s(0), f(suc(suc(X_6)))) | 'LE'(f(suc(suc(X_6))), s(0))),
% 0.47/0.66 inference(subst, [],
% 0.47/0.66 [refute_0_2 : [bind(B_23, $fot(suc(suc(X_6))))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_56, plain,
% 0.47/0.66 (~ 'LE'(f(suc(suc(X_6))), s(0)) | 'E'(0, f(suc(suc(X_6)))) |
% 0.47/0.66 'LE'(f(X_6), 0)),
% 0.47/0.66 inference(subst, [], [clause_93 : [bind(B_35, $fot(X_6))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_57, plain,
% 0.47/0.66 ('E'(0, f(suc(suc(X_6)))) | 'E'(s(0), f(suc(suc(X_6)))) |
% 0.47/0.66 'LE'(f(X_6), 0)),
% 0.47/0.66 inference(resolve, [$cnf('LE'(f(suc(suc(X_6))), s(0)))],
% 0.47/0.66 [refute_0_55, refute_0_56])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_58, plain,
% 0.47/0.66 ('E'(0, f(suc(suc(X_91)))) | 'E'(s(0), f(suc(suc(X_91)))) |
% 0.47/0.66 'LE'(f(X_91), 0)),
% 0.47/0.66 inference(subst, [], [refute_0_57 : [bind(X_6, $fot(X_91))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_59, plain,
% 0.47/0.66 ('E'(0, f(suc(suc(X_86)))) | 'E'(s(0), f(suc(suc(X_86)))) |
% 0.47/0.66 'LE'(f(X_86), 0)),
% 0.47/0.66 inference(subst, [], [refute_0_57 : [bind(X_6, $fot(X_86))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_60, plain,
% 0.47/0.66 (~ 'E'(f(suc(suc(X_85))), f(suc(suc(suc(X_85))))) |
% 0.47/0.66 ~ 'E'(s(0), f(suc(suc(X_85)))) | 'LE'(f(suc(suc(X_85))), s(0)) |
% 0.47/0.66 iLEQ(suc(suc(suc(X_85))), suc(suc(suc(X_85))))),
% 0.47/0.66 inference(subst, [],
% 0.47/0.66 [refute_0_17 : [bind(X_29, $fot(suc(suc(X_85))))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_61, plain,
% 0.47/0.66 (~ 'E'(s(0), f(suc(suc(X_6)))) |
% 0.47/0.66 'E'(f(suc(suc(X_6))), f(suc(suc(suc(X_6))))) |
% 0.47/0.66 'LE'(f(suc(suc(X_6))), s(0)) |
% 0.47/0.66 iLEQ(suc(suc(suc(X_6))), suc(suc(suc(X_6))))),
% 0.47/0.66 inference(subst, [],
% 0.47/0.66 [refute_0_21 : [bind(X_12, $fot(suc(suc(X_6))))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_62, plain,
% 0.47/0.66 ('E'(0, f(suc(suc(X_6)))) |
% 0.47/0.66 'E'(f(suc(suc(X_6))), f(suc(suc(suc(X_6))))) | 'LE'(f(X_6), 0) |
% 0.47/0.66 'LE'(f(suc(suc(X_6))), s(0)) |
% 0.47/0.66 iLEQ(suc(suc(suc(X_6))), suc(suc(suc(X_6))))),
% 0.47/0.66 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_6)))))],
% 0.47/0.66 [refute_0_57, refute_0_61])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_63, plain,
% 0.47/0.66 ('E'(0, f(suc(suc(X_85)))) |
% 0.47/0.66 'E'(f(suc(suc(X_85))), f(suc(suc(suc(X_85))))) | 'LE'(f(X_85), 0) |
% 0.47/0.66 'LE'(f(suc(suc(X_85))), s(0)) |
% 0.47/0.66 iLEQ(suc(suc(suc(X_85))), suc(suc(suc(X_85))))),
% 0.47/0.66 inference(subst, [], [refute_0_62 : [bind(X_6, $fot(X_85))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_64, plain,
% 0.47/0.66 (~ 'E'(s(0), f(suc(suc(X_85)))) | 'E'(0, f(suc(suc(X_85)))) |
% 0.47/0.66 'LE'(f(X_85), 0) | 'LE'(f(suc(suc(X_85))), s(0)) |
% 0.47/0.66 iLEQ(suc(suc(suc(X_85))), suc(suc(suc(X_85))))),
% 0.47/0.66 inference(resolve,
% 0.47/0.66 [$cnf('E'(f(suc(suc(X_85))), f(suc(suc(suc(X_85))))))],
% 0.47/0.66 [refute_0_63, refute_0_60])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_65, plain,
% 0.47/0.66 (~ 'E'(s(0), f(suc(suc(X_86)))) | 'E'(0, f(suc(suc(X_86)))) |
% 0.47/0.66 'LE'(f(X_86), 0) | 'LE'(f(suc(suc(X_86))), s(0)) |
% 0.47/0.66 iLEQ(suc(suc(suc(X_86))), suc(suc(suc(X_86))))),
% 0.47/0.66 inference(subst, [], [refute_0_64 : [bind(X_85, $fot(X_86))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_66, plain,
% 0.47/0.66 ('E'(0, f(suc(suc(X_86)))) | 'LE'(f(X_86), 0) |
% 0.47/0.66 'LE'(f(suc(suc(X_86))), s(0)) |
% 0.47/0.66 iLEQ(suc(suc(suc(X_86))), suc(suc(suc(X_86))))),
% 0.47/0.66 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_86)))))],
% 0.47/0.66 [refute_0_59, refute_0_65])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_67, plain,
% 0.47/0.66 ('E'(0, f(suc(suc(X_90)))) | 'LE'(f(X_90), 0) |
% 0.47/0.66 'LE'(f(suc(suc(X_90))), s(0)) |
% 0.47/0.66 iLEQ(suc(suc(suc(X_90))), suc(suc(suc(X_90))))),
% 0.47/0.66 inference(subst, [], [refute_0_66 : [bind(X_86, $fot(X_90))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_68, plain,
% 0.47/0.66 (~ 'E'(f(suc(suc(X_89))), f(suc(suc(suc(X_89))))) |
% 0.47/0.66 ~ 'E'(s(0), f(suc(suc(X_89)))) |
% 0.47/0.66 ~ iLEQ(suc(suc(suc(X_89))), suc(suc(suc(X_89)))) |
% 0.47/0.66 'LE'(f(suc(suc(X_89))), s(0))),
% 0.47/0.66 inference(subst, [],
% 0.47/0.66 [refute_0_34 : [bind(X_27, $fot(suc(suc(X_89))))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_69, plain,
% 0.47/0.66 ('E'(0, f(suc(suc(X_88)))) | 'E'(s(0), f(suc(suc(X_88)))) |
% 0.47/0.66 'LE'(f(X_88), 0)),
% 0.47/0.66 inference(subst, [], [refute_0_57 : [bind(X_6, $fot(X_88))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_70, plain,
% 0.47/0.66 (~ 'E'(s(0), f(suc(suc(X_87)))) |
% 0.47/0.66 ~ iLEQ(suc(suc(suc(X_87))), suc(suc(suc(X_87)))) |
% 0.47/0.66 'E'(f(suc(suc(X_87))), f(suc(suc(suc(X_87))))) |
% 0.47/0.66 'LE'(f(suc(suc(X_87))), s(0))),
% 0.47/0.66 inference(subst, [],
% 0.47/0.66 [refute_0_39 : [bind(X_13, $fot(suc(suc(X_87))))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_71, plain,
% 0.47/0.66 ('E'(0, f(suc(suc(X_87)))) | 'LE'(f(X_87), 0) |
% 0.47/0.66 'LE'(f(suc(suc(X_87))), s(0)) |
% 0.47/0.66 iLEQ(suc(suc(suc(X_87))), suc(suc(suc(X_87))))),
% 0.47/0.66 inference(subst, [], [refute_0_66 : [bind(X_86, $fot(X_87))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_72, plain,
% 0.47/0.66 (~ 'E'(s(0), f(suc(suc(X_87)))) | 'E'(0, f(suc(suc(X_87)))) |
% 0.47/0.66 'E'(f(suc(suc(X_87))), f(suc(suc(suc(X_87))))) | 'LE'(f(X_87), 0) |
% 0.47/0.66 'LE'(f(suc(suc(X_87))), s(0))),
% 0.47/0.66 inference(resolve,
% 0.47/0.66 [$cnf(iLEQ(suc(suc(suc(X_87))), suc(suc(suc(X_87)))))],
% 0.47/0.66 [refute_0_71, refute_0_70])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_73, plain,
% 0.47/0.66 (~ 'E'(s(0), f(suc(suc(X_88)))) | 'E'(0, f(suc(suc(X_88)))) |
% 0.47/0.66 'E'(f(suc(suc(X_88))), f(suc(suc(suc(X_88))))) | 'LE'(f(X_88), 0) |
% 0.47/0.66 'LE'(f(suc(suc(X_88))), s(0))),
% 0.47/0.66 inference(subst, [], [refute_0_72 : [bind(X_87, $fot(X_88))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_74, plain,
% 0.47/0.66 ('E'(0, f(suc(suc(X_88)))) |
% 0.47/0.66 'E'(f(suc(suc(X_88))), f(suc(suc(suc(X_88))))) | 'LE'(f(X_88), 0) |
% 0.47/0.66 'LE'(f(suc(suc(X_88))), s(0))),
% 0.47/0.66 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_88)))))],
% 0.47/0.66 [refute_0_69, refute_0_73])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_75, plain,
% 0.47/0.66 ('E'(0, f(suc(suc(X_89)))) |
% 0.47/0.66 'E'(f(suc(suc(X_89))), f(suc(suc(suc(X_89))))) | 'LE'(f(X_89), 0) |
% 0.47/0.66 'LE'(f(suc(suc(X_89))), s(0))),
% 0.47/0.66 inference(subst, [], [refute_0_74 : [bind(X_88, $fot(X_89))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_76, plain,
% 0.47/0.66 (~ 'E'(s(0), f(suc(suc(X_89)))) |
% 0.47/0.66 ~ iLEQ(suc(suc(suc(X_89))), suc(suc(suc(X_89)))) |
% 0.47/0.66 'E'(0, f(suc(suc(X_89)))) | 'LE'(f(X_89), 0) |
% 0.47/0.66 'LE'(f(suc(suc(X_89))), s(0))),
% 0.47/0.66 inference(resolve,
% 0.47/0.66 [$cnf('E'(f(suc(suc(X_89))), f(suc(suc(suc(X_89))))))],
% 0.47/0.66 [refute_0_75, refute_0_68])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_77, plain,
% 0.47/0.66 (~ 'E'(s(0), f(suc(suc(X_90)))) |
% 0.47/0.66 ~ iLEQ(suc(suc(suc(X_90))), suc(suc(suc(X_90)))) |
% 0.47/0.66 'E'(0, f(suc(suc(X_90)))) | 'LE'(f(X_90), 0) |
% 0.47/0.66 'LE'(f(suc(suc(X_90))), s(0))),
% 0.47/0.66 inference(subst, [], [refute_0_76 : [bind(X_89, $fot(X_90))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_78, plain,
% 0.47/0.66 (~ 'E'(s(0), f(suc(suc(X_90)))) | 'E'(0, f(suc(suc(X_90)))) |
% 0.47/0.66 'LE'(f(X_90), 0) | 'LE'(f(suc(suc(X_90))), s(0))),
% 0.47/0.66 inference(resolve,
% 0.47/0.66 [$cnf(iLEQ(suc(suc(suc(X_90))), suc(suc(suc(X_90)))))],
% 0.47/0.66 [refute_0_67, refute_0_77])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_79, plain,
% 0.47/0.66 (~ 'E'(s(0), f(suc(suc(X_91)))) | 'E'(0, f(suc(suc(X_91)))) |
% 0.47/0.66 'LE'(f(X_91), 0) | 'LE'(f(suc(suc(X_91))), s(0))),
% 0.47/0.66 inference(subst, [], [refute_0_78 : [bind(X_90, $fot(X_91))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_80, plain,
% 0.47/0.66 ('E'(0, f(suc(suc(X_91)))) | 'LE'(f(X_91), 0) |
% 0.47/0.66 'LE'(f(suc(suc(X_91))), s(0))),
% 0.47/0.66 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_91)))))],
% 0.47/0.66 [refute_0_58, refute_0_79])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_81, plain,
% 0.47/0.66 ('E'(0, f(suc(suc(X_92)))) | 'LE'(f(X_92), 0) |
% 0.47/0.66 'LE'(f(suc(suc(X_92))), s(0))),
% 0.47/0.66 inference(subst, [], [refute_0_80 : [bind(X_91, $fot(X_92))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_82, plain, ('E'(0, f(suc(suc(X_92)))) | 'LE'(f(X_92), 0)),
% 0.47/0.66 inference(resolve, [$cnf('LE'(f(suc(suc(X_92))), s(0)))],
% 0.47/0.66 [refute_0_81, refute_0_54])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_83, plain, ('E'(0, f(suc(suc(z)))) | 'LE'(f(z), 0)),
% 0.47/0.66 inference(subst, [], [refute_0_82 : [bind(X_92, $fot(z))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_84, plain,
% 0.47/0.66 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 0.47/0.66 ~ 'E'(f(z), f(suc(z))) | ~ iLEQ(suc(z), suc(z))),
% 0.47/0.66 inference(subst, [],
% 0.47/0.66 [clause_593 :
% 0.47/0.66 [bind(A_2, $fot(z)), bind(B_36, $fot(z)),
% 0.47/0.66 bind(B_37, $fot(z)), bind(B_38, $fot(z))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_85, plain,
% 0.47/0.66 (~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) | ~ iLEQ(suc(z), suc(z)) |
% 0.47/0.66 'E'(f(z), f(suc(z)))),
% 0.47/0.66 inference(subst, [],
% 0.47/0.66 [clause_325 :
% 0.47/0.66 [bind(A_2, $fot(z)), bind(B_36, $fot(z)),
% 0.47/0.66 bind(B_37, $fot(z)), bind(B_38, $fot(z))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_86, plain,
% 0.47/0.66 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 0.47/0.66 ~ 'E'(f(z), f(suc(z))) | iLEQ(suc(z), suc(z))),
% 0.47/0.66 inference(subst, [], [clause_448 : [bind(A_2, $fot(z))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_87, plain,
% 0.47/0.66 (~ 'LE'(f(X_52), s(0)) | 'E'(0, f(X_52)) | 'LE'(f(X_52), 0)),
% 0.47/0.66 inference(subst, [], [clause_458 : [bind(B_35, $fot(X_52))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_88, plain, ('E'(s(0), f(X_4)) | 'LE'(f(X_4), s(0))),
% 0.47/0.66 inference(subst, [], [refute_0_2 : [bind(B_23, $fot(X_4))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_89, plain,
% 0.47/0.66 (~ 'LE'(f(X_4), s(0)) | 'E'(0, f(X_4)) | 'LE'(f(X_4), 0)),
% 0.47/0.66 inference(subst, [], [clause_458 : [bind(B_35, $fot(X_4))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_90, plain,
% 0.47/0.66 ('E'(0, f(X_4)) | 'E'(s(0), f(X_4)) | 'LE'(f(X_4), 0)),
% 0.47/0.66 inference(resolve, [$cnf('LE'(f(X_4), s(0)))],
% 0.47/0.66 [refute_0_88, refute_0_89])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_91, plain,
% 0.47/0.66 ('E'(0, f(X_51)) | 'E'(s(0), f(X_51)) | 'LE'(f(X_51), 0)),
% 0.47/0.66 inference(subst, [], [refute_0_90 : [bind(X_4, $fot(X_51))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_92, plain,
% 0.47/0.66 ('E'(0, f(X_46)) | 'E'(s(0), f(X_46)) | 'LE'(f(X_46), 0)),
% 0.47/0.66 inference(subst, [], [refute_0_90 : [bind(X_4, $fot(X_46))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_93, plain,
% 0.47/0.66 (~ 'E'(f(X_45), f(suc(X_45))) | ~ 'E'(s(0), f(X_45)) |
% 0.47/0.66 'LE'(f(X_45), s(0)) | iLEQ(suc(X_45), suc(X_45))),
% 0.47/0.66 inference(subst, [], [refute_0_17 : [bind(X_29, $fot(X_45))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_94, plain,
% 0.47/0.66 ('E'(0, f(X_15)) | 'E'(s(0), f(X_15)) | 'LE'(f(X_15), 0)),
% 0.47/0.66 inference(subst, [], [refute_0_90 : [bind(X_4, $fot(X_15))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_95, plain,
% 0.47/0.66 (~ 'E'(s(0), f(X_15)) | 'E'(f(X_15), f(suc(X_15))) |
% 0.47/0.66 'LE'(f(X_15), s(0)) | iLEQ(suc(X_15), suc(X_15))),
% 0.47/0.66 inference(subst, [], [refute_0_21 : [bind(X_12, $fot(X_15))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_96, plain,
% 0.47/0.66 ('E'(0, f(X_15)) | 'E'(f(X_15), f(suc(X_15))) | 'LE'(f(X_15), 0) |
% 0.47/0.66 'LE'(f(X_15), s(0)) | iLEQ(suc(X_15), suc(X_15))),
% 0.47/0.66 inference(resolve, [$cnf('E'(s(0), f(X_15)))],
% 0.47/0.66 [refute_0_94, refute_0_95])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_97, plain,
% 0.47/0.66 ('E'(0, f(X_45)) | 'E'(f(X_45), f(suc(X_45))) | 'LE'(f(X_45), 0) |
% 0.47/0.66 'LE'(f(X_45), s(0)) | iLEQ(suc(X_45), suc(X_45))),
% 0.47/0.66 inference(subst, [], [refute_0_96 : [bind(X_15, $fot(X_45))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_98, plain,
% 0.47/0.66 (~ 'E'(s(0), f(X_45)) | 'E'(0, f(X_45)) | 'LE'(f(X_45), 0) |
% 0.47/0.66 'LE'(f(X_45), s(0)) | iLEQ(suc(X_45), suc(X_45))),
% 0.47/0.66 inference(resolve, [$cnf('E'(f(X_45), f(suc(X_45))))],
% 0.47/0.66 [refute_0_97, refute_0_93])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_99, plain,
% 0.47/0.66 (~ 'E'(s(0), f(X_46)) | 'E'(0, f(X_46)) | 'LE'(f(X_46), 0) |
% 0.47/0.66 'LE'(f(X_46), s(0)) | iLEQ(suc(X_46), suc(X_46))),
% 0.47/0.66 inference(subst, [], [refute_0_98 : [bind(X_45, $fot(X_46))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_100, plain,
% 0.47/0.66 ('E'(0, f(X_46)) | 'LE'(f(X_46), 0) | 'LE'(f(X_46), s(0)) |
% 0.47/0.66 iLEQ(suc(X_46), suc(X_46))),
% 0.47/0.66 inference(resolve, [$cnf('E'(s(0), f(X_46)))],
% 0.47/0.66 [refute_0_92, refute_0_99])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_101, plain,
% 0.47/0.66 ('E'(0, f(X_50)) | 'LE'(f(X_50), 0) | 'LE'(f(X_50), s(0)) |
% 0.47/0.66 iLEQ(suc(X_50), suc(X_50))),
% 0.47/0.66 inference(subst, [], [refute_0_100 : [bind(X_46, $fot(X_50))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_102, plain,
% 0.47/0.66 (~ 'E'(f(X_49), f(suc(X_49))) | ~ 'E'(s(0), f(X_49)) |
% 0.47/0.66 ~ iLEQ(suc(X_49), suc(X_49)) | 'LE'(f(X_49), s(0))),
% 0.47/0.66 inference(subst, [], [refute_0_34 : [bind(X_27, $fot(X_49))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_103, plain,
% 0.47/0.66 ('E'(0, f(X_48)) | 'E'(s(0), f(X_48)) | 'LE'(f(X_48), 0)),
% 0.47/0.66 inference(subst, [], [refute_0_90 : [bind(X_4, $fot(X_48))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_104, plain,
% 0.47/0.66 (~ 'E'(s(0), f(X_47)) | ~ iLEQ(suc(X_47), suc(X_47)) |
% 0.47/0.66 'E'(f(X_47), f(suc(X_47))) | 'LE'(f(X_47), s(0))),
% 0.47/0.66 inference(subst, [], [refute_0_39 : [bind(X_13, $fot(X_47))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_105, plain,
% 0.47/0.66 ('E'(0, f(X_47)) | 'LE'(f(X_47), 0) | 'LE'(f(X_47), s(0)) |
% 0.47/0.66 iLEQ(suc(X_47), suc(X_47))),
% 0.47/0.66 inference(subst, [], [refute_0_100 : [bind(X_46, $fot(X_47))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_106, plain,
% 0.47/0.66 (~ 'E'(s(0), f(X_47)) | 'E'(0, f(X_47)) | 'E'(f(X_47), f(suc(X_47))) |
% 0.47/0.66 'LE'(f(X_47), 0) | 'LE'(f(X_47), s(0))),
% 0.47/0.66 inference(resolve, [$cnf(iLEQ(suc(X_47), suc(X_47)))],
% 0.47/0.66 [refute_0_105, refute_0_104])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_107, plain,
% 0.47/0.66 (~ 'E'(s(0), f(X_48)) | 'E'(0, f(X_48)) | 'E'(f(X_48), f(suc(X_48))) |
% 0.47/0.66 'LE'(f(X_48), 0) | 'LE'(f(X_48), s(0))),
% 0.47/0.66 inference(subst, [], [refute_0_106 : [bind(X_47, $fot(X_48))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_108, plain,
% 0.47/0.66 ('E'(0, f(X_48)) | 'E'(f(X_48), f(suc(X_48))) | 'LE'(f(X_48), 0) |
% 0.47/0.66 'LE'(f(X_48), s(0))),
% 0.47/0.66 inference(resolve, [$cnf('E'(s(0), f(X_48)))],
% 0.47/0.66 [refute_0_103, refute_0_107])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_109, plain,
% 0.47/0.66 ('E'(0, f(X_49)) | 'E'(f(X_49), f(suc(X_49))) | 'LE'(f(X_49), 0) |
% 0.47/0.66 'LE'(f(X_49), s(0))),
% 0.47/0.66 inference(subst, [], [refute_0_108 : [bind(X_48, $fot(X_49))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_110, plain,
% 0.47/0.66 (~ 'E'(s(0), f(X_49)) | ~ iLEQ(suc(X_49), suc(X_49)) |
% 0.47/0.66 'E'(0, f(X_49)) | 'LE'(f(X_49), 0) | 'LE'(f(X_49), s(0))),
% 0.47/0.66 inference(resolve, [$cnf('E'(f(X_49), f(suc(X_49))))],
% 0.47/0.66 [refute_0_109, refute_0_102])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_111, plain,
% 0.47/0.66 (~ 'E'(s(0), f(X_50)) | ~ iLEQ(suc(X_50), suc(X_50)) |
% 0.47/0.66 'E'(0, f(X_50)) | 'LE'(f(X_50), 0) | 'LE'(f(X_50), s(0))),
% 0.47/0.66 inference(subst, [], [refute_0_110 : [bind(X_49, $fot(X_50))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_112, plain,
% 0.47/0.66 (~ 'E'(s(0), f(X_50)) | 'E'(0, f(X_50)) | 'LE'(f(X_50), 0) |
% 0.47/0.66 'LE'(f(X_50), s(0))),
% 0.47/0.66 inference(resolve, [$cnf(iLEQ(suc(X_50), suc(X_50)))],
% 0.47/0.66 [refute_0_101, refute_0_111])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_113, plain,
% 0.47/0.66 (~ 'E'(s(0), f(X_51)) | 'E'(0, f(X_51)) | 'LE'(f(X_51), 0) |
% 0.47/0.66 'LE'(f(X_51), s(0))),
% 0.47/0.66 inference(subst, [], [refute_0_112 : [bind(X_50, $fot(X_51))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_114, plain,
% 0.47/0.66 ('E'(0, f(X_51)) | 'LE'(f(X_51), 0) | 'LE'(f(X_51), s(0))),
% 0.47/0.66 inference(resolve, [$cnf('E'(s(0), f(X_51)))],
% 0.47/0.66 [refute_0_91, refute_0_113])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_115, plain,
% 0.47/0.66 ('E'(0, f(X_52)) | 'LE'(f(X_52), 0) | 'LE'(f(X_52), s(0))),
% 0.47/0.66 inference(subst, [], [refute_0_114 : [bind(X_51, $fot(X_52))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_116, plain, ('E'(0, f(X_52)) | 'LE'(f(X_52), 0)),
% 0.47/0.66 inference(resolve, [$cnf('LE'(f(X_52), s(0)))],
% 0.47/0.66 [refute_0_115, refute_0_87])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_117, plain, ('E'(0, f(z)) | 'LE'(f(z), 0)),
% 0.47/0.66 inference(subst, [], [refute_0_116 : [bind(X_52, $fot(z))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_118, plain, ('E'(0, f(z))),
% 0.47/0.66 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_117, clause_292])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_119, plain,
% 0.47/0.66 (~ 'E'(0, f(X_76)) | ~ 'E'(0, f(suc(X_76))) |
% 0.47/0.66 'E'(f(X_76), f(suc(X_76))) | iLEQ(suc(X_76), suc(X_76))),
% 0.47/0.66 inference(subst, [], [clause_324 : [bind(A_2, $fot(X_76))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_120, plain, ('E'(0, f(suc(X_76))) | 'LE'(f(X_76), 0)),
% 0.47/0.66 inference(subst, [], [refute_0_52 : [bind(X_75, $fot(X_76))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_121, plain,
% 0.47/0.66 (~ 'E'(0, f(X_76)) | 'E'(f(X_76), f(suc(X_76))) | 'LE'(f(X_76), 0) |
% 0.47/0.66 iLEQ(suc(X_76), suc(X_76))),
% 0.47/0.66 inference(resolve, [$cnf('E'(0, f(suc(X_76))))],
% 0.47/0.66 [refute_0_120, refute_0_119])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_122, plain,
% 0.47/0.66 (~ 'E'(0, f(z)) | 'E'(f(z), f(suc(z))) | 'LE'(f(z), 0) |
% 0.47/0.66 iLEQ(suc(z), suc(z))),
% 0.47/0.66 inference(subst, [], [refute_0_121 : [bind(X_76, $fot(z))]])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_123, plain,
% 0.47/0.66 ('E'(f(z), f(suc(z))) | 'LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 0.47/0.66 inference(resolve, [$cnf('E'(0, f(z)))],
% 0.47/0.66 [refute_0_118, refute_0_122])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_124, plain, ('E'(f(z), f(suc(z))) | iLEQ(suc(z), suc(z))),
% 0.47/0.66 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_123, clause_292])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_125, plain,
% 0.47/0.66 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 0.47/0.66 iLEQ(suc(z), suc(z))),
% 0.47/0.66 inference(resolve, [$cnf('E'(f(z), f(suc(z))))],
% 0.47/0.66 [refute_0_124, refute_0_86])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_126, plain,
% 0.47/0.66 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) |
% 0.47/0.66 iLEQ(suc(z), suc(z))),
% 0.47/0.66 inference(resolve, [$cnf('E'(0, f(z)))],
% 0.47/0.66 [refute_0_118, refute_0_125])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_127, plain,
% 0.47/0.66 (~ 'E'(0, f(suc(z))) | 'LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 0.47/0.66 inference(resolve, [$cnf('E'(0, f(suc(suc(z)))))],
% 0.47/0.66 [refute_0_83, refute_0_126])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_128, plain, (~ 'E'(0, f(suc(z))) | iLEQ(suc(z), suc(z))),
% 0.47/0.66 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_127, clause_292])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_129, plain, ('LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 0.47/0.66 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 0.47/0.66 [refute_0_53, refute_0_128])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_130, plain, (iLEQ(suc(z), suc(z))),
% 0.47/0.66 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_129, clause_292])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_131, plain,
% 0.47/0.66 (~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) | 'E'(f(z), f(suc(z)))),
% 0.47/0.66 inference(resolve, [$cnf(iLEQ(suc(z), suc(z)))],
% 0.47/0.66 [refute_0_130, refute_0_85])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_132, plain, (~ 'E'(0, f(suc(z))) | 'E'(f(z), f(suc(z)))),
% 0.47/0.66 inference(resolve, [$cnf('E'(0, f(z)))],
% 0.47/0.66 [refute_0_118, refute_0_131])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_133, plain, ('E'(f(z), f(suc(z))) | 'LE'(f(z), 0)),
% 0.47/0.66 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 0.47/0.66 [refute_0_53, refute_0_132])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_134, plain, ('E'(f(z), f(suc(z)))),
% 0.47/0.66 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_133, clause_292])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_135, plain,
% 0.47/0.66 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 0.47/0.66 ~ iLEQ(suc(z), suc(z))),
% 0.47/0.66 inference(resolve, [$cnf('E'(f(z), f(suc(z))))],
% 0.47/0.66 [refute_0_134, refute_0_84])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_136, plain,
% 0.47/0.66 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) |
% 0.47/0.66 ~ iLEQ(suc(z), suc(z))),
% 0.47/0.66 inference(resolve, [$cnf('E'(0, f(z)))],
% 0.47/0.66 [refute_0_118, refute_0_135])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_137, plain, (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z)))),
% 0.47/0.66 inference(resolve, [$cnf(iLEQ(suc(z), suc(z)))],
% 0.47/0.66 [refute_0_130, refute_0_136])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_138, plain, (~ 'E'(0, f(suc(z))) | 'LE'(f(z), 0)),
% 0.47/0.66 inference(resolve, [$cnf('E'(0, f(suc(suc(z)))))],
% 0.47/0.66 [refute_0_83, refute_0_137])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_139, plain, (~ 'E'(0, f(suc(z)))),
% 0.47/0.66 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_138, clause_292])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_140, plain, ('LE'(f(z), 0)),
% 0.47/0.66 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 0.47/0.66 [refute_0_53, refute_0_139])).
% 0.47/0.66
% 0.47/0.66 cnf(refute_0_141, plain, ($false),
% 0.47/0.66 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_140, clause_292])).
% 0.47/0.66 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.66
%------------------------------------------------------------------------------