TSTP Solution File: SYO680-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYO680-1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 18:40:51 EDT 2022
% Result : Unsatisfiable 0.19s 0.42s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO680-1 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jul 9 09:24:58 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.42 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.42
% 0.19/0.42 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.43 cnf(clause_109, axiom,
% 0.19/0.43 (~ 'E'(0, f(A_4)) | ~ 'E'(0, f(suc(A_4))) | iLEQ(suc(A_4), suc(A_4)))).
% 0.19/0.43
% 0.19/0.43 cnf(clause_104, axiom, ('LE'(f(A), s(s(s(s(0))))))).
% 0.19/0.43
% 0.19/0.43 cnf(clause_91, axiom,
% 0.19/0.43 (~ 'E'(s(0), f(A_3)) | ~ 'E'(s(0), f(suc(A_3))) |
% 0.19/0.43 iLEQ(suc(A_3), suc(A_3)))).
% 0.19/0.43
% 0.19/0.43 cnf(clause_114, axiom,
% 0.19/0.43 (~ 'LE'(f(suc(B_60)), s(0)) | 'E'(0, f(suc(B_60))) |
% 0.19/0.43 'LE'(f(B_60), 0))).
% 0.19/0.43
% 0.19/0.43 cnf(clause_5, axiom,
% 0.19/0.43 (~ 'E'(s(s(0)), f(A_2)) | ~ 'E'(s(s(0)), f(suc(A_2))) |
% 0.19/0.43 iLEQ(suc(A_2), suc(A_2)))).
% 0.19/0.43
% 0.19/0.43 cnf(clause_20, axiom,
% 0.19/0.43 (~ 'E'(s(s(0)), f(suc(B_42))) | ~ 'E'(s(s(0)), f(B_42)) |
% 0.19/0.43 ~ iLEQ(suc(B_42), suc(B_43)) | ~ 'E'(s(s(0)), f(suc(A_2))) |
% 0.19/0.43 ~ 'E'(s(s(0)), f(suc(B_43))) | ~ iLEQ(suc(A_2), suc(B_42)) |
% 0.19/0.43 ~ 'E'(s(s(0)), f(B_43)) | ~ 'E'(s(s(0)), f(A_2)))).
% 0.19/0.43
% 0.19/0.43 cnf(clause_71, axiom,
% 0.19/0.43 (~ iLEQ(suc(B_24), suc(B_25)) | ~ 'E'(s(s(s(0))), f(B_25)) |
% 0.19/0.43 ~ 'E'(s(s(s(0))), f(B_24)) | ~ iLEQ(suc(A_1), suc(B_24)) |
% 0.19/0.43 ~ 'E'(s(s(s(0))), f(A_1)) | ~ 'E'(s(s(s(0))), f(suc(B_24))) |
% 0.19/0.43 ~ 'E'(s(s(s(0))), f(suc(B_25))) | ~ 'E'(s(s(s(0))), f(suc(A_1))))).
% 0.19/0.43
% 0.19/0.43 cnf(clause_6, axiom,
% 0.19/0.43 (~ 'LE'(f(B_53), s(s(0))) | 'E'(s(0), f(B_53)) | 'LE'(f(B_53), s(0)))).
% 0.19/0.43
% 0.19/0.43 cnf(clause_66, axiom, (~ 'LE'(f(z), 0))).
% 0.19/0.43
% 0.19/0.43 cnf(clause_84, axiom,
% 0.19/0.43 (~ 'LE'(f(suc(B_41)), s(s(s(0)))) | 'E'(s(s(0)), f(suc(B_41))) |
% 0.19/0.43 'LE'(f(B_41), s(s(0))))).
% 0.19/0.43
% 0.19/0.43 cnf(clause_144, axiom,
% 0.19/0.43 (~ 'E'(0, f(suc(B_61))) | ~ iLEQ(suc(B_61), suc(B_62)) |
% 0.19/0.43 ~ iLEQ(suc(A_4), suc(B_61)) | ~ 'E'(0, f(suc(B_62))) |
% 0.19/0.43 ~ 'E'(0, f(B_61)) | ~ 'E'(0, f(suc(A_4))) | ~ 'E'(0, f(B_62)) |
% 0.19/0.43 ~ 'E'(0, f(A_4)))).
% 0.19/0.43
% 0.19/0.43 cnf(clause_127, axiom,
% 0.19/0.43 (~ 'LE'(f(B_23), s(s(s(s(0))))) | 'E'(s(s(s(0))), f(B_23)) |
% 0.19/0.43 'LE'(f(B_23), s(s(s(0)))))).
% 0.19/0.43
% 0.19/0.43 cnf(clause_51, axiom,
% 0.19/0.43 (~ 'LE'(f(B_41), s(s(s(0)))) | 'E'(s(s(0)), f(B_41)) |
% 0.19/0.43 'LE'(f(B_41), s(s(0))))).
% 0.19/0.43
% 0.19/0.43 cnf(clause_21, axiom,
% 0.19/0.43 (~ iLEQ(suc(B_54), suc(B_55)) | ~ 'E'(s(0), f(suc(A_3))) |
% 0.19/0.43 ~ iLEQ(suc(A_3), suc(B_54)) | ~ 'E'(s(0), f(suc(B_55))) |
% 0.19/0.43 ~ 'E'(s(0), f(A_3)) | ~ 'E'(s(0), f(B_55)) |
% 0.19/0.43 ~ 'E'(s(0), f(suc(B_54))) | ~ 'E'(s(0), f(B_54)))).
% 0.19/0.43
% 0.19/0.43 cnf(clause_102, axiom,
% 0.19/0.43 (~ 'LE'(f(suc(B_23)), s(s(s(s(0))))) | 'E'(s(s(s(0))), f(suc(B_23))) |
% 0.19/0.43 'LE'(f(B_23), s(s(s(0)))))).
% 0.19/0.43
% 0.19/0.43 cnf(clause_14, axiom,
% 0.19/0.43 (~ 'E'(s(s(s(0))), f(A_1)) | ~ 'E'(s(s(s(0))), f(suc(A_1))) |
% 0.19/0.43 iLEQ(suc(A_1), suc(A_1)))).
% 0.19/0.43
% 0.19/0.43 cnf(clause_96, axiom,
% 0.19/0.43 (~ 'LE'(f(B_60), s(0)) | 'E'(0, f(B_60)) | 'LE'(f(B_60), 0))).
% 0.19/0.43
% 0.19/0.43 cnf(clause_15, axiom,
% 0.19/0.43 (~ 'LE'(f(suc(B_53)), s(s(0))) | 'E'(s(0), f(suc(B_53))) |
% 0.19/0.43 'LE'(f(B_53), s(0)))).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_0, plain,
% 0.19/0.43 (~ 'LE'(f(suc(X_94)), s(0)) | 'E'(0, f(suc(X_94))) | 'LE'(f(X_94), 0)),
% 0.19/0.43 inference(subst, [], [clause_114 : [bind(B_60, $fot(X_94))]])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_1, plain,
% 0.19/0.43 (~ 'LE'(f(X_59), s(s(0))) | 'E'(s(0), f(X_59)) | 'LE'(f(X_59), s(0))),
% 0.19/0.43 inference(subst, [], [clause_6 : [bind(B_53, $fot(X_59))]])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_2, plain,
% 0.19/0.43 (~ 'LE'(f(X_38), s(s(0))) | 'E'(s(0), f(X_38)) | 'LE'(f(X_38), s(0))),
% 0.19/0.43 inference(subst, [], [clause_6 : [bind(B_53, $fot(X_38))]])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_3, plain,
% 0.19/0.43 (~ 'LE'(f(X_37), s(s(s(0)))) | 'E'(s(s(0)), f(X_37)) |
% 0.19/0.43 'LE'(f(X_37), s(s(0)))),
% 0.19/0.43 inference(subst, [], [clause_51 : [bind(B_41, $fot(X_37))]])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_4, plain, ('LE'(f(B_23), s(s(s(s(0)))))),
% 0.19/0.43 inference(subst, [], [clause_104 : [bind(A, $fot(B_23))]])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_5, plain,
% 0.19/0.43 ('E'(s(s(s(0))), f(B_23)) | 'LE'(f(B_23), s(s(s(0))))),
% 0.19/0.43 inference(resolve, [$cnf('LE'(f(B_23), s(s(s(s(0))))))],
% 0.19/0.43 [refute_0_4, clause_127])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_6, plain,
% 0.19/0.43 ('E'(s(s(s(0))), f(X_6)) | 'LE'(f(X_6), s(s(s(0))))),
% 0.19/0.43 inference(subst, [], [refute_0_5 : [bind(B_23, $fot(X_6))]])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_7, plain,
% 0.19/0.43 (~ 'LE'(f(X_6), s(s(s(0)))) | 'E'(s(s(0)), f(X_6)) |
% 0.19/0.43 'LE'(f(X_6), s(s(0)))),
% 0.19/0.43 inference(subst, [], [clause_51 : [bind(B_41, $fot(X_6))]])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_8, plain,
% 0.19/0.43 ('E'(s(s(0)), f(X_6)) | 'E'(s(s(s(0))), f(X_6)) |
% 0.19/0.43 'LE'(f(X_6), s(s(0)))),
% 0.19/0.43 inference(resolve, [$cnf('LE'(f(X_6), s(s(s(0)))))],
% 0.19/0.43 [refute_0_6, refute_0_7])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_9, plain,
% 0.19/0.43 ('E'(s(s(0)), f(X_20)) | 'E'(s(s(s(0))), f(X_20)) |
% 0.19/0.43 'LE'(f(X_20), s(s(0)))),
% 0.19/0.43 inference(subst, [], [refute_0_8 : [bind(X_6, $fot(X_20))]])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_10, plain, ('LE'(f(suc(B_23)), s(s(s(s(0)))))),
% 0.19/0.43 inference(subst, [], [clause_104 : [bind(A, $fot(suc(B_23)))]])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_11, plain,
% 0.19/0.43 ('E'(s(s(s(0))), f(suc(B_23))) | 'LE'(f(B_23), s(s(s(0))))),
% 0.19/0.43 inference(resolve, [$cnf('LE'(f(suc(B_23)), s(s(s(s(0))))))],
% 0.19/0.43 [refute_0_10, clause_102])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_12, plain,
% 0.19/0.43 ('E'(s(s(s(0))), f(suc(X_18))) | 'LE'(f(X_18), s(s(s(0))))),
% 0.19/0.43 inference(subst, [], [refute_0_11 : [bind(B_23, $fot(X_18))]])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_13, plain,
% 0.19/0.43 (~ 'E'(s(s(s(0))), f(X_18)) | ~ 'E'(s(s(s(0))), f(suc(X_18))) |
% 0.19/0.43 ~ iLEQ(suc(X_18), suc(X_18))),
% 0.19/0.43 inference(subst, [],
% 0.19/0.43 [clause_71 :
% 0.19/0.43 [bind(A_1, $fot(X_18)), bind(B_24, $fot(X_18)),
% 0.19/0.43 bind(B_25, $fot(X_18))]])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_14, plain,
% 0.19/0.43 (~ 'E'(s(s(s(0))), f(X_18)) | ~ iLEQ(suc(X_18), suc(X_18)) |
% 0.19/0.43 'LE'(f(X_18), s(s(s(0))))),
% 0.19/0.43 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(X_18))))],
% 0.19/0.43 [refute_0_12, refute_0_13])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_15, plain,
% 0.19/0.43 (~ 'E'(s(s(s(0))), f(X_20)) | ~ iLEQ(suc(X_20), suc(X_20)) |
% 0.19/0.43 'LE'(f(X_20), s(s(s(0))))),
% 0.19/0.43 inference(subst, [], [refute_0_14 : [bind(X_18, $fot(X_20))]])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_16, plain,
% 0.19/0.43 (~ iLEQ(suc(X_20), suc(X_20)) | 'E'(s(s(0)), f(X_20)) |
% 0.19/0.43 'LE'(f(X_20), s(s(0))) | 'LE'(f(X_20), s(s(s(0))))),
% 0.19/0.43 inference(resolve, [$cnf('E'(s(s(s(0))), f(X_20)))],
% 0.19/0.43 [refute_0_9, refute_0_15])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_17, plain,
% 0.19/0.43 (~ iLEQ(suc(X_35), suc(X_35)) | 'E'(s(s(0)), f(X_35)) |
% 0.19/0.43 'LE'(f(X_35), s(s(0))) | 'LE'(f(X_35), s(s(s(0))))),
% 0.19/0.43 inference(subst, [], [refute_0_16 : [bind(X_20, $fot(X_35))]])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_18, plain,
% 0.19/0.43 ('E'(s(s(0)), f(X_19)) | 'E'(s(s(s(0))), f(X_19)) |
% 0.19/0.43 'LE'(f(X_19), s(s(0)))),
% 0.19/0.43 inference(subst, [], [refute_0_8 : [bind(X_6, $fot(X_19))]])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_19, plain,
% 0.19/0.43 ('E'(s(s(s(0))), f(suc(X_17))) | 'LE'(f(X_17), s(s(s(0))))),
% 0.19/0.43 inference(subst, [], [refute_0_11 : [bind(B_23, $fot(X_17))]])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_20, plain,
% 0.19/0.43 (~ 'E'(s(s(s(0))), f(X_17)) | ~ 'E'(s(s(s(0))), f(suc(X_17))) |
% 0.19/0.43 iLEQ(suc(X_17), suc(X_17))),
% 0.19/0.43 inference(subst, [], [clause_14 : [bind(A_1, $fot(X_17))]])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_21, plain,
% 0.19/0.43 (~ 'E'(s(s(s(0))), f(X_17)) | 'LE'(f(X_17), s(s(s(0)))) |
% 0.19/0.43 iLEQ(suc(X_17), suc(X_17))),
% 0.19/0.43 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(X_17))))],
% 0.19/0.43 [refute_0_19, refute_0_20])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_22, plain,
% 0.19/0.43 (~ 'E'(s(s(s(0))), f(X_19)) | 'LE'(f(X_19), s(s(s(0)))) |
% 0.19/0.43 iLEQ(suc(X_19), suc(X_19))),
% 0.19/0.43 inference(subst, [], [refute_0_21 : [bind(X_17, $fot(X_19))]])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_23, plain,
% 0.19/0.43 ('E'(s(s(0)), f(X_19)) | 'LE'(f(X_19), s(s(0))) |
% 0.19/0.43 'LE'(f(X_19), s(s(s(0)))) | iLEQ(suc(X_19), suc(X_19))),
% 0.19/0.43 inference(resolve, [$cnf('E'(s(s(s(0))), f(X_19)))],
% 0.19/0.43 [refute_0_18, refute_0_22])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_24, plain,
% 0.19/0.43 ('E'(s(s(0)), f(X_35)) | 'LE'(f(X_35), s(s(0))) |
% 0.19/0.43 'LE'(f(X_35), s(s(s(0)))) | iLEQ(suc(X_35), suc(X_35))),
% 0.19/0.43 inference(subst, [], [refute_0_23 : [bind(X_19, $fot(X_35))]])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_25, plain,
% 0.19/0.43 ('E'(s(s(0)), f(X_35)) | 'LE'(f(X_35), s(s(0))) |
% 0.19/0.43 'LE'(f(X_35), s(s(s(0))))),
% 0.19/0.43 inference(resolve, [$cnf(iLEQ(suc(X_35), suc(X_35)))],
% 0.19/0.43 [refute_0_24, refute_0_17])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_26, plain,
% 0.19/0.43 ('E'(s(s(0)), f(X_37)) | 'LE'(f(X_37), s(s(0))) |
% 0.19/0.43 'LE'(f(X_37), s(s(s(0))))),
% 0.19/0.43 inference(subst, [], [refute_0_25 : [bind(X_35, $fot(X_37))]])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_27, plain, ('E'(s(s(0)), f(X_37)) | 'LE'(f(X_37), s(s(0)))),
% 0.19/0.43 inference(resolve, [$cnf('LE'(f(X_37), s(s(s(0)))))],
% 0.19/0.43 [refute_0_26, refute_0_3])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_28, plain, ('E'(s(s(0)), f(X_38)) | 'LE'(f(X_38), s(s(0)))),
% 0.19/0.43 inference(subst, [], [refute_0_27 : [bind(X_37, $fot(X_38))]])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_29, plain,
% 0.19/0.43 ('E'(s(0), f(X_38)) | 'E'(s(s(0)), f(X_38)) | 'LE'(f(X_38), s(0))),
% 0.19/0.43 inference(resolve, [$cnf('LE'(f(X_38), s(s(0))))],
% 0.19/0.43 [refute_0_28, refute_0_2])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_30, plain,
% 0.19/0.43 ('E'(s(0), f(X_48)) | 'E'(s(s(0)), f(X_48)) | 'LE'(f(X_48), s(0))),
% 0.19/0.43 inference(subst, [], [refute_0_29 : [bind(X_38, $fot(X_48))]])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_31, plain,
% 0.19/0.43 (~ 'E'(s(s(0)), f(X_47)) | ~ 'E'(s(s(0)), f(suc(X_47))) |
% 0.19/0.43 ~ iLEQ(suc(X_47), suc(X_47))),
% 0.19/0.43 inference(subst, [],
% 0.19/0.43 [clause_20 :
% 0.19/0.43 [bind(A_2, $fot(X_47)), bind(B_42, $fot(X_47)),
% 0.19/0.43 bind(B_43, $fot(X_47))]])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_32, plain,
% 0.19/0.43 (~ 'LE'(f(suc(X_46)), s(s(s(0)))) | 'E'(s(s(0)), f(suc(X_46))) |
% 0.19/0.43 'LE'(f(X_46), s(s(0)))),
% 0.19/0.43 inference(subst, [], [clause_84 : [bind(B_41, $fot(X_46))]])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_33, plain,
% 0.19/0.43 (~ 'LE'(f(suc(X_43)), s(s(s(0)))) | 'E'(s(s(0)), f(suc(X_43))) |
% 0.19/0.43 'LE'(f(X_43), s(s(0)))),
% 0.19/0.43 inference(subst, [], [clause_84 : [bind(B_41, $fot(X_43))]])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_34, plain,
% 0.19/0.43 ('E'(s(s(s(0))), f(suc(X_10))) | 'LE'(f(suc(X_10)), s(s(s(0))))),
% 0.19/0.43 inference(subst, [], [refute_0_5 : [bind(B_23, $fot(suc(X_10)))]])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_35, plain,
% 0.19/0.43 (~ 'LE'(f(suc(X_10)), s(s(s(0)))) | 'E'(s(s(0)), f(suc(X_10))) |
% 0.19/0.43 'LE'(f(X_10), s(s(0)))),
% 0.19/0.43 inference(subst, [], [clause_84 : [bind(B_41, $fot(X_10))]])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_36, plain,
% 0.19/0.43 ('E'(s(s(0)), f(suc(X_10))) | 'E'(s(s(s(0))), f(suc(X_10))) |
% 0.19/0.43 'LE'(f(X_10), s(s(0)))),
% 0.19/0.43 inference(resolve, [$cnf('LE'(f(suc(X_10)), s(s(s(0)))))],
% 0.19/0.43 [refute_0_34, refute_0_35])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_37, plain,
% 0.19/0.43 (~ 'E'(s(s(s(0))), f(suc(X_10))) | 'LE'(f(suc(X_10)), s(s(s(0)))) |
% 0.19/0.43 iLEQ(suc(suc(X_10)), suc(suc(X_10)))),
% 0.19/0.43 inference(subst, [], [refute_0_21 : [bind(X_17, $fot(suc(X_10)))]])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_38, plain,
% 0.19/0.43 ('E'(s(s(0)), f(suc(X_10))) | 'LE'(f(X_10), s(s(0))) |
% 0.19/0.43 'LE'(f(suc(X_10)), s(s(s(0)))) |
% 0.19/0.43 iLEQ(suc(suc(X_10)), suc(suc(X_10)))),
% 0.19/0.43 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(X_10))))],
% 0.19/0.43 [refute_0_36, refute_0_37])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_39, plain,
% 0.19/0.43 ('E'(s(s(0)), f(suc(X_43))) | 'LE'(f(X_43), s(s(0))) |
% 0.19/0.43 'LE'(f(suc(X_43)), s(s(s(0)))) |
% 0.19/0.43 iLEQ(suc(suc(X_43)), suc(suc(X_43)))),
% 0.19/0.43 inference(subst, [], [refute_0_38 : [bind(X_10, $fot(X_43))]])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_40, plain,
% 0.19/0.43 ('E'(s(s(0)), f(suc(X_43))) | 'LE'(f(X_43), s(s(0))) |
% 0.19/0.43 iLEQ(suc(suc(X_43)), suc(suc(X_43)))),
% 0.19/0.43 inference(resolve, [$cnf('LE'(f(suc(X_43)), s(s(s(0)))))],
% 0.19/0.43 [refute_0_39, refute_0_33])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_41, plain,
% 0.19/0.43 ('E'(s(s(0)), f(suc(X_45))) | 'LE'(f(X_45), s(s(0))) |
% 0.19/0.43 iLEQ(suc(suc(X_45)), suc(suc(X_45)))),
% 0.19/0.43 inference(subst, [], [refute_0_40 : [bind(X_43, $fot(X_45))]])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_42, plain,
% 0.19/0.43 (~ 'E'(s(s(s(0))), f(suc(X_10))) |
% 0.19/0.43 ~ iLEQ(suc(suc(X_10)), suc(suc(X_10))) |
% 0.19/0.43 'LE'(f(suc(X_10)), s(s(s(0))))),
% 0.19/0.43 inference(subst, [], [refute_0_14 : [bind(X_18, $fot(suc(X_10)))]])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_43, plain,
% 0.19/0.43 (~ iLEQ(suc(suc(X_10)), suc(suc(X_10))) | 'E'(s(s(0)), f(suc(X_10))) |
% 0.19/0.43 'LE'(f(X_10), s(s(0))) | 'LE'(f(suc(X_10)), s(s(s(0))))),
% 0.19/0.43 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(X_10))))],
% 0.19/0.43 [refute_0_36, refute_0_42])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_44, plain,
% 0.19/0.43 (~ iLEQ(suc(suc(X_45)), suc(suc(X_45))) | 'E'(s(s(0)), f(suc(X_45))) |
% 0.19/0.43 'LE'(f(X_45), s(s(0))) | 'LE'(f(suc(X_45)), s(s(s(0))))),
% 0.19/0.43 inference(subst, [], [refute_0_43 : [bind(X_10, $fot(X_45))]])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_45, plain,
% 0.19/0.43 ('E'(s(s(0)), f(suc(X_45))) | 'LE'(f(X_45), s(s(0))) |
% 0.19/0.43 'LE'(f(suc(X_45)), s(s(s(0))))),
% 0.19/0.43 inference(resolve, [$cnf(iLEQ(suc(suc(X_45)), suc(suc(X_45))))],
% 0.19/0.43 [refute_0_41, refute_0_44])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_46, plain,
% 0.19/0.43 ('E'(s(s(0)), f(suc(X_46))) | 'LE'(f(X_46), s(s(0))) |
% 0.19/0.43 'LE'(f(suc(X_46)), s(s(s(0))))),
% 0.19/0.43 inference(subst, [], [refute_0_45 : [bind(X_45, $fot(X_46))]])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_47, plain,
% 0.19/0.43 ('E'(s(s(0)), f(suc(X_46))) | 'LE'(f(X_46), s(s(0)))),
% 0.19/0.43 inference(resolve, [$cnf('LE'(f(suc(X_46)), s(s(s(0)))))],
% 0.19/0.43 [refute_0_46, refute_0_32])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_48, plain,
% 0.19/0.43 ('E'(s(s(0)), f(suc(X_47))) | 'LE'(f(X_47), s(s(0)))),
% 0.19/0.43 inference(subst, [], [refute_0_47 : [bind(X_46, $fot(X_47))]])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_49, plain,
% 0.19/0.43 (~ 'E'(s(s(0)), f(X_47)) | ~ iLEQ(suc(X_47), suc(X_47)) |
% 0.19/0.43 'LE'(f(X_47), s(s(0)))),
% 0.19/0.43 inference(resolve, [$cnf('E'(s(s(0)), f(suc(X_47))))],
% 0.19/0.43 [refute_0_48, refute_0_31])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_50, plain,
% 0.19/0.43 (~ 'E'(s(s(0)), f(X_48)) | ~ iLEQ(suc(X_48), suc(X_48)) |
% 0.19/0.43 'LE'(f(X_48), s(s(0)))),
% 0.19/0.43 inference(subst, [], [refute_0_49 : [bind(X_47, $fot(X_48))]])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_51, plain,
% 0.19/0.43 (~ iLEQ(suc(X_48), suc(X_48)) | 'E'(s(0), f(X_48)) |
% 0.19/0.43 'LE'(f(X_48), s(0)) | 'LE'(f(X_48), s(s(0)))),
% 0.19/0.43 inference(resolve, [$cnf('E'(s(s(0)), f(X_48)))],
% 0.19/0.43 [refute_0_30, refute_0_50])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_52, plain,
% 0.19/0.43 (~ iLEQ(suc(X_57), suc(X_57)) | 'E'(s(0), f(X_57)) |
% 0.19/0.43 'LE'(f(X_57), s(0)) | 'LE'(f(X_57), s(s(0)))),
% 0.19/0.43 inference(subst, [], [refute_0_51 : [bind(X_48, $fot(X_57))]])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_53, plain,
% 0.19/0.43 ('E'(s(0), f(X_49)) | 'E'(s(s(0)), f(X_49)) | 'LE'(f(X_49), s(0))),
% 0.19/0.43 inference(subst, [], [refute_0_29 : [bind(X_38, $fot(X_49))]])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_54, plain,
% 0.19/0.43 (~ 'E'(s(s(0)), f(X_47)) | ~ 'E'(s(s(0)), f(suc(X_47))) |
% 0.19/0.43 iLEQ(suc(X_47), suc(X_47))),
% 0.19/0.43 inference(subst, [], [clause_5 : [bind(A_2, $fot(X_47))]])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_55, plain,
% 0.19/0.43 (~ 'E'(s(s(0)), f(X_47)) | 'LE'(f(X_47), s(s(0))) |
% 0.19/0.43 iLEQ(suc(X_47), suc(X_47))),
% 0.19/0.43 inference(resolve, [$cnf('E'(s(s(0)), f(suc(X_47))))],
% 0.19/0.43 [refute_0_48, refute_0_54])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_56, plain,
% 0.19/0.43 (~ 'E'(s(s(0)), f(X_49)) | 'LE'(f(X_49), s(s(0))) |
% 0.19/0.43 iLEQ(suc(X_49), suc(X_49))),
% 0.19/0.43 inference(subst, [], [refute_0_55 : [bind(X_47, $fot(X_49))]])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_57, plain,
% 0.19/0.43 ('E'(s(0), f(X_49)) | 'LE'(f(X_49), s(0)) | 'LE'(f(X_49), s(s(0))) |
% 0.19/0.43 iLEQ(suc(X_49), suc(X_49))),
% 0.19/0.43 inference(resolve, [$cnf('E'(s(s(0)), f(X_49)))],
% 0.19/0.43 [refute_0_53, refute_0_56])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_58, plain,
% 0.19/0.43 ('E'(s(0), f(X_57)) | 'LE'(f(X_57), s(0)) | 'LE'(f(X_57), s(s(0))) |
% 0.19/0.43 iLEQ(suc(X_57), suc(X_57))),
% 0.19/0.43 inference(subst, [], [refute_0_57 : [bind(X_49, $fot(X_57))]])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_59, plain,
% 0.19/0.43 ('E'(s(0), f(X_57)) | 'LE'(f(X_57), s(0)) | 'LE'(f(X_57), s(s(0)))),
% 0.19/0.43 inference(resolve, [$cnf(iLEQ(suc(X_57), suc(X_57)))],
% 0.19/0.43 [refute_0_58, refute_0_52])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_60, plain,
% 0.19/0.43 ('E'(s(0), f(X_59)) | 'LE'(f(X_59), s(0)) | 'LE'(f(X_59), s(s(0)))),
% 0.19/0.43 inference(subst, [], [refute_0_59 : [bind(X_57, $fot(X_59))]])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_61, plain, ('E'(s(0), f(X_59)) | 'LE'(f(X_59), s(0))),
% 0.19/0.43 inference(resolve, [$cnf('LE'(f(X_59), s(s(0))))],
% 0.19/0.43 [refute_0_60, refute_0_1])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_62, plain,
% 0.19/0.43 ('E'(s(0), f(suc(B_60))) | 'LE'(f(suc(B_60)), s(0))),
% 0.19/0.43 inference(subst, [], [refute_0_61 : [bind(X_59, $fot(suc(B_60)))]])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_63, plain,
% 0.19/0.43 ('E'(0, f(suc(B_60))) | 'E'(s(0), f(suc(B_60))) | 'LE'(f(B_60), 0)),
% 0.19/0.43 inference(resolve, [$cnf('LE'(f(suc(B_60)), s(0)))],
% 0.19/0.43 [refute_0_62, clause_114])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_64, plain,
% 0.19/0.43 ('E'(0, f(suc(X_93))) | 'E'(s(0), f(suc(X_93))) | 'LE'(f(X_93), 0)),
% 0.19/0.43 inference(subst, [], [refute_0_63 : [bind(B_60, $fot(X_93))]])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_65, plain,
% 0.19/0.43 (~ 'LE'(f(suc(X_75)), s(s(0))) | 'E'(s(0), f(suc(X_75))) |
% 0.19/0.43 'LE'(f(X_75), s(0))),
% 0.19/0.43 inference(subst, [], [clause_15 : [bind(B_53, $fot(X_75))]])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_66, plain,
% 0.19/0.43 ('E'(s(s(0)), f(suc(B_53))) | 'LE'(f(suc(B_53)), s(s(0)))),
% 0.19/0.43 inference(subst, [], [refute_0_27 : [bind(X_37, $fot(suc(B_53)))]])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_67, plain,
% 0.19/0.43 ('E'(s(0), f(suc(B_53))) | 'E'(s(s(0)), f(suc(B_53))) |
% 0.19/0.43 'LE'(f(B_53), s(0))),
% 0.19/0.43 inference(resolve, [$cnf('LE'(f(suc(B_53)), s(s(0))))],
% 0.19/0.43 [refute_0_66, clause_15])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_68, plain,
% 0.19/0.43 ('E'(s(0), f(suc(X_74))) | 'E'(s(s(0)), f(suc(X_74))) |
% 0.19/0.43 'LE'(f(X_74), s(0))),
% 0.19/0.43 inference(subst, [], [refute_0_67 : [bind(B_53, $fot(X_74))]])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_69, plain,
% 0.19/0.43 (~ 'E'(s(s(0)), f(suc(X_67))) |
% 0.19/0.43 ~ iLEQ(suc(suc(X_67)), suc(suc(X_67))) | 'LE'(f(suc(X_67)), s(s(0)))),
% 0.19/0.43 inference(subst, [], [refute_0_49 : [bind(X_47, $fot(suc(X_67)))]])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_70, plain,
% 0.19/0.43 (~ 'E'(s(s(0)), f(suc(B_53))) | 'LE'(f(suc(B_53)), s(s(0))) |
% 0.19/0.43 iLEQ(suc(suc(B_53)), suc(suc(B_53)))),
% 0.19/0.43 inference(subst, [], [refute_0_55 : [bind(X_47, $fot(suc(B_53)))]])).
% 0.19/0.43
% 0.19/0.43 cnf(refute_0_71, plain,
% 0.19/0.43 ('E'(s(0), f(suc(B_53))) | 'LE'(f(B_53), s(0)) |
% 0.19/0.43 'LE'(f(suc(B_53)), s(s(0))) | iLEQ(suc(suc(B_53)), suc(suc(B_53)))),
% 0.19/0.43 inference(resolve, [$cnf('E'(s(s(0)), f(suc(B_53))))],
% 0.19/0.43 [refute_0_67, refute_0_70])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_72, plain,
% 0.19/0.44 ('E'(s(0), f(suc(X_67))) | 'LE'(f(X_67), s(0)) |
% 0.19/0.44 'LE'(f(suc(X_67)), s(s(0))) | iLEQ(suc(suc(X_67)), suc(suc(X_67)))),
% 0.19/0.44 inference(subst, [], [refute_0_71 : [bind(B_53, $fot(X_67))]])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_73, plain,
% 0.19/0.44 (~ 'E'(s(s(0)), f(suc(X_67))) | 'E'(s(0), f(suc(X_67))) |
% 0.19/0.44 'LE'(f(X_67), s(0)) | 'LE'(f(suc(X_67)), s(s(0)))),
% 0.19/0.44 inference(resolve, [$cnf(iLEQ(suc(suc(X_67)), suc(suc(X_67))))],
% 0.19/0.44 [refute_0_72, refute_0_69])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_74, plain,
% 0.19/0.44 (~ 'E'(s(s(0)), f(suc(X_74))) | 'E'(s(0), f(suc(X_74))) |
% 0.19/0.44 'LE'(f(X_74), s(0)) | 'LE'(f(suc(X_74)), s(s(0)))),
% 0.19/0.44 inference(subst, [], [refute_0_73 : [bind(X_67, $fot(X_74))]])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_75, plain,
% 0.19/0.44 ('E'(s(0), f(suc(X_74))) | 'LE'(f(X_74), s(0)) |
% 0.19/0.44 'LE'(f(suc(X_74)), s(s(0)))),
% 0.19/0.44 inference(resolve, [$cnf('E'(s(s(0)), f(suc(X_74))))],
% 0.19/0.44 [refute_0_68, refute_0_74])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_76, plain,
% 0.19/0.44 ('E'(s(0), f(suc(X_75))) | 'LE'(f(X_75), s(0)) |
% 0.19/0.44 'LE'(f(suc(X_75)), s(s(0)))),
% 0.19/0.44 inference(subst, [], [refute_0_75 : [bind(X_74, $fot(X_75))]])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_77, plain, ('E'(s(0), f(suc(X_75))) | 'LE'(f(X_75), s(0))),
% 0.19/0.44 inference(resolve, [$cnf('LE'(f(suc(X_75)), s(s(0))))],
% 0.19/0.44 [refute_0_76, refute_0_65])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_78, plain,
% 0.19/0.44 ('E'(s(0), f(suc(suc(X_92)))) | 'LE'(f(suc(X_92)), s(0))),
% 0.19/0.44 inference(subst, [], [refute_0_77 : [bind(X_75, $fot(suc(X_92)))]])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_79, plain,
% 0.19/0.44 (~ 'E'(s(0), f(X_76)) | ~ 'E'(s(0), f(suc(X_76))) |
% 0.19/0.44 iLEQ(suc(X_76), suc(X_76))),
% 0.19/0.44 inference(subst, [], [clause_91 : [bind(A_3, $fot(X_76))]])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_80, plain, ('E'(s(0), f(suc(X_76))) | 'LE'(f(X_76), s(0))),
% 0.19/0.44 inference(subst, [], [refute_0_77 : [bind(X_75, $fot(X_76))]])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_81, plain,
% 0.19/0.44 (~ 'E'(s(0), f(X_76)) | 'LE'(f(X_76), s(0)) |
% 0.19/0.44 iLEQ(suc(X_76), suc(X_76))),
% 0.19/0.44 inference(resolve, [$cnf('E'(s(0), f(suc(X_76))))],
% 0.19/0.44 [refute_0_80, refute_0_79])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_82, plain,
% 0.19/0.44 (~ 'E'(s(0), f(suc(B_60))) | 'LE'(f(suc(B_60)), s(0)) |
% 0.19/0.44 iLEQ(suc(suc(B_60)), suc(suc(B_60)))),
% 0.19/0.44 inference(subst, [], [refute_0_81 : [bind(X_76, $fot(suc(B_60)))]])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_83, plain,
% 0.19/0.44 ('E'(0, f(suc(B_60))) | 'LE'(f(B_60), 0) | 'LE'(f(suc(B_60)), s(0)) |
% 0.19/0.44 iLEQ(suc(suc(B_60)), suc(suc(B_60)))),
% 0.19/0.44 inference(resolve, [$cnf('E'(s(0), f(suc(B_60))))],
% 0.19/0.44 [refute_0_63, refute_0_82])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_84, plain,
% 0.19/0.44 (~ 'E'(s(0), f(suc(B_60))) | ~ 'E'(s(0), f(suc(suc(B_60)))) |
% 0.19/0.44 ~ iLEQ(suc(suc(B_60)), suc(suc(B_60)))),
% 0.19/0.44 inference(subst, [],
% 0.19/0.44 [clause_21 :
% 0.19/0.44 [bind(A_3, $fot(suc(B_60))), bind(B_54, $fot(suc(B_60))),
% 0.19/0.44 bind(B_55, $fot(suc(B_60)))]])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_85, plain,
% 0.19/0.44 (~ 'E'(s(0), f(suc(B_60))) | ~ 'E'(s(0), f(suc(suc(B_60)))) |
% 0.19/0.44 'E'(0, f(suc(B_60))) | 'LE'(f(B_60), 0) | 'LE'(f(suc(B_60)), s(0))),
% 0.19/0.44 inference(resolve, [$cnf(iLEQ(suc(suc(B_60)), suc(suc(B_60))))],
% 0.19/0.44 [refute_0_83, refute_0_84])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_86, plain,
% 0.19/0.44 (~ 'E'(s(0), f(suc(X_92))) | ~ 'E'(s(0), f(suc(suc(X_92)))) |
% 0.19/0.44 'E'(0, f(suc(X_92))) | 'LE'(f(X_92), 0) | 'LE'(f(suc(X_92)), s(0))),
% 0.19/0.44 inference(subst, [], [refute_0_85 : [bind(B_60, $fot(X_92))]])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_87, plain,
% 0.19/0.44 (~ 'E'(s(0), f(suc(X_92))) | 'E'(0, f(suc(X_92))) | 'LE'(f(X_92), 0) |
% 0.19/0.44 'LE'(f(suc(X_92)), s(0))),
% 0.19/0.44 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_92)))))],
% 0.19/0.44 [refute_0_78, refute_0_86])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_88, plain,
% 0.19/0.44 (~ 'E'(s(0), f(suc(X_93))) | 'E'(0, f(suc(X_93))) | 'LE'(f(X_93), 0) |
% 0.19/0.44 'LE'(f(suc(X_93)), s(0))),
% 0.19/0.44 inference(subst, [], [refute_0_87 : [bind(X_92, $fot(X_93))]])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_89, plain,
% 0.19/0.44 ('E'(0, f(suc(X_93))) | 'LE'(f(X_93), 0) | 'LE'(f(suc(X_93)), s(0))),
% 0.19/0.44 inference(resolve, [$cnf('E'(s(0), f(suc(X_93))))],
% 0.19/0.44 [refute_0_64, refute_0_88])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_90, plain,
% 0.19/0.44 ('E'(0, f(suc(X_94))) | 'LE'(f(X_94), 0) | 'LE'(f(suc(X_94)), s(0))),
% 0.19/0.44 inference(subst, [], [refute_0_89 : [bind(X_93, $fot(X_94))]])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_91, plain, ('E'(0, f(suc(X_94))) | 'LE'(f(X_94), 0)),
% 0.19/0.44 inference(resolve, [$cnf('LE'(f(suc(X_94)), s(0)))],
% 0.19/0.44 [refute_0_90, refute_0_0])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_92, plain, ('E'(0, f(suc(z))) | 'LE'(f(z), 0)),
% 0.19/0.44 inference(subst, [], [refute_0_91 : [bind(X_94, $fot(z))]])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_93, plain,
% 0.19/0.44 (~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) | ~ iLEQ(suc(z), suc(z))),
% 0.19/0.44 inference(subst, [],
% 0.19/0.44 [clause_144 :
% 0.19/0.44 [bind(A_4, $fot(z)), bind(B_61, $fot(z)),
% 0.19/0.44 bind(B_62, $fot(z))]])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_94, plain,
% 0.19/0.44 (~ 'LE'(f(X_90), s(0)) | 'E'(0, f(X_90)) | 'LE'(f(X_90), 0)),
% 0.19/0.44 inference(subst, [], [clause_96 : [bind(B_60, $fot(X_90))]])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_95, plain,
% 0.19/0.44 (~ 'LE'(f(X_60), s(0)) | 'E'(0, f(X_60)) | 'LE'(f(X_60), 0)),
% 0.19/0.44 inference(subst, [], [clause_96 : [bind(B_60, $fot(X_60))]])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_96, plain, ('E'(s(0), f(X_60)) | 'LE'(f(X_60), s(0))),
% 0.19/0.44 inference(subst, [], [refute_0_61 : [bind(X_59, $fot(X_60))]])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_97, plain,
% 0.19/0.44 ('E'(0, f(X_60)) | 'E'(s(0), f(X_60)) | 'LE'(f(X_60), 0)),
% 0.19/0.44 inference(resolve, [$cnf('LE'(f(X_60), s(0)))],
% 0.19/0.44 [refute_0_96, refute_0_95])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_98, plain,
% 0.19/0.44 ('E'(0, f(X_89)) | 'E'(s(0), f(X_89)) | 'LE'(f(X_89), 0)),
% 0.19/0.44 inference(subst, [], [refute_0_97 : [bind(X_60, $fot(X_89))]])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_99, plain, ('E'(s(0), f(suc(X_88))) | 'LE'(f(X_88), s(0))),
% 0.19/0.44 inference(subst, [], [refute_0_77 : [bind(X_75, $fot(X_88))]])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_100, plain,
% 0.19/0.44 ('E'(0, f(X_78)) | 'E'(s(0), f(X_78)) | 'LE'(f(X_78), 0)),
% 0.19/0.44 inference(subst, [], [refute_0_97 : [bind(X_60, $fot(X_78))]])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_101, plain,
% 0.19/0.44 (~ 'E'(s(0), f(X_78)) | 'LE'(f(X_78), s(0)) |
% 0.19/0.44 iLEQ(suc(X_78), suc(X_78))),
% 0.19/0.44 inference(subst, [], [refute_0_81 : [bind(X_76, $fot(X_78))]])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_102, plain,
% 0.19/0.44 ('E'(0, f(X_78)) | 'LE'(f(X_78), 0) | 'LE'(f(X_78), s(0)) |
% 0.19/0.44 iLEQ(suc(X_78), suc(X_78))),
% 0.19/0.44 inference(resolve, [$cnf('E'(s(0), f(X_78)))],
% 0.19/0.44 [refute_0_100, refute_0_101])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_103, plain,
% 0.19/0.44 ('E'(0, f(X_87)) | 'LE'(f(X_87), 0) | 'LE'(f(X_87), s(0)) |
% 0.19/0.44 iLEQ(suc(X_87), suc(X_87))),
% 0.19/0.44 inference(subst, [], [refute_0_102 : [bind(X_78, $fot(X_87))]])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_104, plain,
% 0.19/0.44 (~ 'E'(s(0), f(X_87)) | ~ 'E'(s(0), f(suc(X_87))) |
% 0.19/0.44 ~ iLEQ(suc(X_87), suc(X_87))),
% 0.19/0.44 inference(subst, [],
% 0.19/0.44 [clause_21 :
% 0.19/0.44 [bind(A_3, $fot(X_87)), bind(B_54, $fot(X_87)),
% 0.19/0.44 bind(B_55, $fot(X_87))]])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_105, plain,
% 0.19/0.44 (~ 'E'(s(0), f(X_87)) | ~ 'E'(s(0), f(suc(X_87))) | 'E'(0, f(X_87)) |
% 0.19/0.44 'LE'(f(X_87), 0) | 'LE'(f(X_87), s(0))),
% 0.19/0.44 inference(resolve, [$cnf(iLEQ(suc(X_87), suc(X_87)))],
% 0.19/0.44 [refute_0_103, refute_0_104])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_106, plain,
% 0.19/0.44 (~ 'E'(s(0), f(X_88)) | ~ 'E'(s(0), f(suc(X_88))) | 'E'(0, f(X_88)) |
% 0.19/0.44 'LE'(f(X_88), 0) | 'LE'(f(X_88), s(0))),
% 0.19/0.44 inference(subst, [], [refute_0_105 : [bind(X_87, $fot(X_88))]])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_107, plain,
% 0.19/0.44 (~ 'E'(s(0), f(X_88)) | 'E'(0, f(X_88)) | 'LE'(f(X_88), 0) |
% 0.19/0.44 'LE'(f(X_88), s(0))),
% 0.19/0.44 inference(resolve, [$cnf('E'(s(0), f(suc(X_88))))],
% 0.19/0.44 [refute_0_99, refute_0_106])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_108, plain,
% 0.19/0.44 (~ 'E'(s(0), f(X_89)) | 'E'(0, f(X_89)) | 'LE'(f(X_89), 0) |
% 0.19/0.44 'LE'(f(X_89), s(0))),
% 0.19/0.44 inference(subst, [], [refute_0_107 : [bind(X_88, $fot(X_89))]])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_109, plain,
% 0.19/0.44 ('E'(0, f(X_89)) | 'LE'(f(X_89), 0) | 'LE'(f(X_89), s(0))),
% 0.19/0.44 inference(resolve, [$cnf('E'(s(0), f(X_89)))],
% 0.19/0.44 [refute_0_98, refute_0_108])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_110, plain,
% 0.19/0.44 ('E'(0, f(X_90)) | 'LE'(f(X_90), 0) | 'LE'(f(X_90), s(0))),
% 0.19/0.44 inference(subst, [], [refute_0_109 : [bind(X_89, $fot(X_90))]])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_111, plain, ('E'(0, f(X_90)) | 'LE'(f(X_90), 0)),
% 0.19/0.44 inference(resolve, [$cnf('LE'(f(X_90), s(0)))],
% 0.19/0.44 [refute_0_110, refute_0_94])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_112, plain, ('E'(0, f(z)) | 'LE'(f(z), 0)),
% 0.19/0.44 inference(subst, [], [refute_0_111 : [bind(X_90, $fot(z))]])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_113, plain, ('E'(0, f(z))),
% 0.19/0.44 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_112, clause_66])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_114, plain,
% 0.19/0.44 (~ 'E'(0, f(X_95)) | ~ 'E'(0, f(suc(X_95))) |
% 0.19/0.44 iLEQ(suc(X_95), suc(X_95))),
% 0.19/0.44 inference(subst, [], [clause_109 : [bind(A_4, $fot(X_95))]])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_115, plain, ('E'(0, f(suc(X_95))) | 'LE'(f(X_95), 0)),
% 0.19/0.44 inference(subst, [], [refute_0_91 : [bind(X_94, $fot(X_95))]])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_116, plain,
% 0.19/0.44 (~ 'E'(0, f(X_95)) | 'LE'(f(X_95), 0) | iLEQ(suc(X_95), suc(X_95))),
% 0.19/0.44 inference(resolve, [$cnf('E'(0, f(suc(X_95))))],
% 0.19/0.44 [refute_0_115, refute_0_114])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_117, plain,
% 0.19/0.44 (~ 'E'(0, f(z)) | 'LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 0.19/0.44 inference(subst, [], [refute_0_116 : [bind(X_95, $fot(z))]])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_118, plain, ('LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 0.19/0.44 inference(resolve, [$cnf('E'(0, f(z)))],
% 0.19/0.44 [refute_0_113, refute_0_117])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_119, plain, (iLEQ(suc(z), suc(z))),
% 0.19/0.44 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_118, clause_66])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_120, plain, (~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z))),
% 0.19/0.44 inference(resolve, [$cnf(iLEQ(suc(z), suc(z)))],
% 0.19/0.44 [refute_0_119, refute_0_93])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_121, plain, (~ 'E'(0, f(suc(z)))),
% 0.19/0.44 inference(resolve, [$cnf('E'(0, f(z)))],
% 0.19/0.44 [refute_0_113, refute_0_120])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_122, plain, ('LE'(f(z), 0)),
% 0.19/0.44 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 0.19/0.44 [refute_0_92, refute_0_121])).
% 0.19/0.44
% 0.19/0.44 cnf(refute_0_123, plain, ($false),
% 0.19/0.44 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_122, clause_66])).
% 0.19/0.44 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44
%------------------------------------------------------------------------------