TSTP Solution File: SYO677-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYO677-1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n023.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 18:40:50 EDT 2022
% Result : Unsatisfiable 6.23s 6.41s
% Output : CNFRefutation 6.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYO677-1 : TPTP v8.1.0. Released v7.3.0.
% 0.08/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Fri Jul 8 23:48:41 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 6.23/6.41 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.23/6.41
% 6.23/6.41 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.23/6.42 cnf(clause_24, axiom,
% 6.23/6.42 (~ 'E'(s(s(0)), f(B_10)) | ~ 'E'(s(s(0)), f(suc(A_2))) |
% 6.23/6.42 ~ 'E'(f(B_10), f(suc(B_10))) | ~ iLEQ(suc(A_2), suc(B_10)) |
% 6.23/6.42 ~ 'E'(s(s(0)), f(suc(B_10))) | ~ 'E'(s(s(0)), f(suc(suc(A_2)))) |
% 6.23/6.42 ~ 'E'(s(s(0)), f(A_2)) | ~ 'E'(f(A_2), f(suc(A_2))) |
% 6.23/6.42 ~ 'E'(s(s(0)), f(suc(suc(B_10)))))).
% 6.23/6.42
% 6.23/6.42 cnf(clause_143, axiom,
% 6.23/6.42 (~ 'LE'(f(suc(suc(B_4))), s(s(s(s(0))))) |
% 6.23/6.42 'E'(s(s(s(0))), f(suc(suc(B_4)))) | 'LE'(f(B_4), s(s(s(0)))))).
% 6.23/6.42
% 6.23/6.42 cnf(clause_38, axiom,
% 6.23/6.42 (~ 'E'(s(s(0)), f(B_10)) | ~ 'E'(s(s(0)), f(suc(A_2))) |
% 6.23/6.42 ~ iLEQ(suc(A_2), suc(B_10)) | ~ 'E'(s(s(0)), f(suc(B_10))) |
% 6.23/6.42 ~ 'E'(s(s(0)), f(A_2)) | 'E'(f(A_2), f(suc(A_2))) |
% 6.23/6.42 'E'(f(B_10), f(suc(B_10))))).
% 6.23/6.42
% 6.23/6.42 cnf(clause_15, axiom,
% 6.23/6.42 (~ 'LE'(f(B_13), s(s(0))) | 'E'(s(0), f(B_13)) | 'LE'(f(B_13), s(0)))).
% 6.23/6.42
% 6.23/6.42 cnf(clause_13, axiom,
% 6.23/6.42 (~ 'LE'(f(suc(B_4)), s(s(s(s(0))))) | 'E'(s(s(s(0))), f(suc(B_4))) |
% 6.23/6.42 'LE'(f(B_4), s(s(s(0)))))).
% 6.23/6.42
% 6.23/6.42 cnf(clause_51, axiom,
% 6.23/6.42 (~ 'E'(s(s(s(0))), f(suc(B_5))) | ~ iLEQ(suc(A_1), suc(B_5)) |
% 6.23/6.42 ~ 'E'(s(s(s(0))), f(B_5)) | ~ 'E'(s(s(s(0))), f(A_1)) |
% 6.23/6.42 ~ 'E'(s(s(s(0))), f(suc(A_1))) | 'E'(f(A_1), f(suc(A_1))) |
% 6.23/6.42 'E'(f(B_5), f(suc(B_5))))).
% 6.23/6.42
% 6.23/6.42 cnf(clause_97, axiom,
% 6.23/6.42 (~ 'E'(s(s(0)), f(suc(suc(A_2)))) | ~ 'E'(s(s(0)), f(suc(A_2))) |
% 6.23/6.42 ~ 'E'(f(A_2), f(suc(A_2))) | ~ 'E'(s(s(0)), f(A_2)) |
% 6.23/6.42 iLEQ(suc(A_2), suc(A_2)))).
% 6.23/6.42
% 6.23/6.42 cnf(clause_2, axiom,
% 6.23/6.42 (~ 'LE'(f(suc(B_16)), s(0)) | 'E'(0, f(suc(B_16))) |
% 6.23/6.42 'LE'(f(B_16), 0))).
% 6.23/6.42
% 6.23/6.42 cnf(clause_145, axiom,
% 6.23/6.42 (~ 'LE'(f(B_16), s(0)) | 'E'(0, f(B_16)) | 'LE'(f(B_16), 0))).
% 6.23/6.42
% 6.23/6.42 cnf(clause_18, axiom,
% 6.23/6.42 (~ 'LE'(f(suc(suc(B_9))), s(s(s(0)))) |
% 6.23/6.42 'E'(s(s(0)), f(suc(suc(B_9)))) | 'LE'(f(B_9), s(s(0))))).
% 6.23/6.42
% 6.23/6.42 cnf(clause_61, axiom,
% 6.23/6.42 (~ 'LE'(f(B_4), s(s(s(s(0))))) | 'E'(s(s(s(0))), f(B_4)) |
% 6.23/6.42 'LE'(f(B_4), s(s(s(0)))))).
% 6.23/6.42
% 6.23/6.42 cnf(clause_0, axiom,
% 6.23/6.42 (~ 'E'(0, f(suc(B_17))) | ~ iLEQ(suc(A_4), suc(B_17)) |
% 6.23/6.42 ~ 'E'(0, f(B_17)) | ~ 'E'(0, f(suc(A_4))) | ~ 'E'(0, f(A_4)) |
% 6.23/6.42 'E'(f(A_4), f(suc(A_4))) | 'E'(f(B_17), f(suc(B_17))))).
% 6.23/6.42
% 6.23/6.42 cnf(clause_113, axiom, ('LE'(f(A), s(s(s(s(0))))))).
% 6.23/6.42
% 6.23/6.42 cnf(clause_73, axiom,
% 6.23/6.42 (~ 'LE'(f(B_9), s(s(s(0)))) | 'E'(s(s(0)), f(B_9)) |
% 6.23/6.42 'LE'(f(B_9), s(s(0))))).
% 6.23/6.42
% 6.23/6.42 cnf(clause_48, axiom,
% 6.23/6.42 (~ 'E'(f(A_4), f(suc(A_4))) | ~ 'E'(0, f(suc(B_17))) |
% 6.23/6.42 ~ iLEQ(suc(A_4), suc(B_17)) | ~ 'E'(0, f(suc(suc(B_17)))) |
% 6.23/6.42 ~ 'E'(0, f(suc(suc(A_4)))) | ~ 'E'(0, f(B_17)) |
% 6.23/6.42 ~ 'E'(0, f(suc(A_4))) | ~ 'E'(f(B_17), f(suc(B_17))) |
% 6.23/6.42 ~ 'E'(0, f(A_4)))).
% 6.23/6.42
% 6.23/6.42 cnf(clause_140, axiom,
% 6.23/6.42 (~ 'E'(s(s(s(0))), f(suc(suc(A_1)))) | ~ 'E'(s(s(s(0))), f(suc(A_1))) |
% 6.23/6.42 ~ 'E'(f(A_1), f(suc(A_1))) | ~ 'E'(s(s(s(0))), f(A_1)) |
% 6.23/6.42 iLEQ(suc(A_1), suc(A_1)))).
% 6.23/6.42
% 6.23/6.42 cnf(clause_150, axiom,
% 6.23/6.42 (~ 'E'(0, f(A_4)) | ~ 'E'(0, f(suc(A_4))) | 'E'(f(A_4), f(suc(A_4))) |
% 6.23/6.42 iLEQ(suc(A_4), suc(A_4)))).
% 6.23/6.42
% 6.23/6.42 cnf(clause_31, axiom,
% 6.23/6.42 (~ 'E'(s(0), f(suc(suc(A_3)))) | ~ 'E'(s(0), f(suc(A_3))) |
% 6.23/6.42 ~ 'E'(f(A_3), f(suc(A_3))) | ~ 'E'(s(0), f(A_3)) |
% 6.23/6.42 iLEQ(suc(A_3), suc(A_3)))).
% 6.23/6.42
% 6.23/6.42 cnf(clause_39, axiom,
% 6.23/6.42 (~ 'LE'(f(suc(B_13)), s(s(0))) | 'E'(s(0), f(suc(B_13))) |
% 6.23/6.42 'LE'(f(B_13), s(0)))).
% 6.23/6.42
% 6.23/6.42 cnf(clause_49, axiom,
% 6.23/6.42 (~ 'LE'(f(suc(suc(B_13))), s(s(0))) | 'E'(s(0), f(suc(suc(B_13)))) |
% 6.23/6.42 'LE'(f(B_13), s(0)))).
% 6.23/6.42
% 6.23/6.42 cnf(clause_77, axiom, (~ 'LE'(f(z), 0))).
% 6.23/6.42
% 6.23/6.42 cnf(clause_57, axiom,
% 6.23/6.42 (~ 'E'(s(0), f(suc(B_14))) | ~ 'E'(s(0), f(suc(suc(B_14)))) |
% 6.23/6.42 ~ 'E'(s(0), f(suc(A_3))) | ~ 'E'(s(0), f(B_14)) |
% 6.23/6.42 ~ 'E'(f(B_14), f(suc(B_14))) | ~ 'E'(f(A_3), f(suc(A_3))) |
% 6.23/6.42 ~ 'E'(s(0), f(A_3)) | ~ 'E'(s(0), f(suc(suc(A_3)))) |
% 6.23/6.42 ~ iLEQ(suc(A_3), suc(B_14)))).
% 6.23/6.42
% 6.23/6.42 cnf(clause_121, axiom,
% 6.23/6.42 (~ 'E'(s(s(s(0))), f(suc(B_5))) | ~ 'E'(f(B_5), f(suc(B_5))) |
% 6.23/6.42 ~ iLEQ(suc(A_1), suc(B_5)) | ~ 'E'(s(s(s(0))), f(B_5)) |
% 6.23/6.42 ~ 'E'(s(s(s(0))), f(A_1)) | ~ 'E'(s(s(s(0))), f(suc(suc(A_1)))) |
% 6.23/6.42 ~ 'E'(f(A_1), f(suc(A_1))) | ~ 'E'(s(s(s(0))), f(suc(suc(B_5)))) |
% 6.23/6.42 ~ 'E'(s(s(s(0))), f(suc(A_1))))).
% 6.23/6.42
% 6.23/6.42 cnf(clause_87, axiom,
% 6.23/6.42 (~ 'LE'(f(suc(B_9)), s(s(s(0)))) | 'E'(s(s(0)), f(suc(B_9))) |
% 6.23/6.42 'LE'(f(B_9), s(s(0))))).
% 6.23/6.42
% 6.23/6.42 cnf(clause_65, axiom,
% 6.23/6.42 (~ 'E'(s(s(s(0))), f(A_1)) | ~ 'E'(s(s(s(0))), f(suc(A_1))) |
% 6.23/6.42 'E'(f(A_1), f(suc(A_1))) | iLEQ(suc(A_1), suc(A_1)))).
% 6.23/6.42
% 6.23/6.42 cnf(clause_84, axiom,
% 6.23/6.42 (~ 'E'(s(s(0)), f(A_2)) | ~ 'E'(s(s(0)), f(suc(A_2))) |
% 6.23/6.42 'E'(f(A_2), f(suc(A_2))) | iLEQ(suc(A_2), suc(A_2)))).
% 6.23/6.42
% 6.23/6.42 cnf(clause_112, axiom,
% 6.23/6.42 (~ 'E'(s(0), f(suc(B_14))) | ~ 'E'(s(0), f(suc(A_3))) |
% 6.23/6.42 ~ 'E'(s(0), f(B_14)) | ~ 'E'(s(0), f(A_3)) |
% 6.23/6.42 ~ iLEQ(suc(A_3), suc(B_14)) | 'E'(f(A_3), f(suc(A_3))) |
% 6.23/6.42 'E'(f(B_14), f(suc(B_14))))).
% 6.23/6.42
% 6.23/6.42 cnf(clause_27, axiom,
% 6.23/6.42 (~ 'LE'(f(suc(suc(B_16))), s(0)) | 'E'(0, f(suc(suc(B_16)))) |
% 6.23/6.42 'LE'(f(B_16), 0))).
% 6.23/6.42
% 6.23/6.42 cnf(clause_115, axiom,
% 6.23/6.42 (~ 'E'(s(0), f(A_3)) | ~ 'E'(s(0), f(suc(A_3))) |
% 6.23/6.42 'E'(f(A_3), f(suc(A_3))) | iLEQ(suc(A_3), suc(A_3)))).
% 6.23/6.42
% 6.23/6.42 cnf(clause_114, axiom,
% 6.23/6.42 (~ 'E'(0, f(suc(suc(A_4)))) | ~ 'E'(0, f(suc(A_4))) |
% 6.23/6.42 ~ 'E'(f(A_4), f(suc(A_4))) | ~ 'E'(0, f(A_4)) |
% 6.23/6.42 iLEQ(suc(A_4), suc(A_4)))).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_0, plain,
% 6.23/6.42 (~ 'LE'(f(suc(X_685)), s(0)) | 'E'(0, f(suc(X_685))) |
% 6.23/6.42 'LE'(f(X_685), 0)),
% 6.23/6.42 inference(subst, [], [clause_2 : [bind(B_16, $fot(X_685))]])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_1, plain,
% 6.23/6.42 (~ 'LE'(f(X_267), s(s(0))) | 'E'(s(0), f(X_267)) |
% 6.23/6.42 'LE'(f(X_267), s(0))),
% 6.23/6.42 inference(subst, [], [clause_15 : [bind(B_13, $fot(X_267))]])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_2, plain,
% 6.23/6.42 (~ 'LE'(f(X_257), s(s(0))) | 'E'(s(0), f(X_257)) |
% 6.23/6.42 'LE'(f(X_257), s(0))),
% 6.23/6.42 inference(subst, [], [clause_15 : [bind(B_13, $fot(X_257))]])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_3, plain,
% 6.23/6.42 (~ 'LE'(f(X_91), s(s(0))) | 'E'(s(0), f(X_91)) | 'LE'(f(X_91), s(0))),
% 6.23/6.42 inference(subst, [], [clause_15 : [bind(B_13, $fot(X_91))]])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_4, plain,
% 6.23/6.42 (~ 'LE'(f(X_90), s(s(s(0)))) | 'E'(s(s(0)), f(X_90)) |
% 6.23/6.42 'LE'(f(X_90), s(s(0)))),
% 6.23/6.42 inference(subst, [], [clause_73 : [bind(B_9, $fot(X_90))]])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_5, plain,
% 6.23/6.42 (~ 'LE'(f(X_84), s(s(s(0)))) | 'E'(s(s(0)), f(X_84)) |
% 6.23/6.42 'LE'(f(X_84), s(s(0)))),
% 6.23/6.42 inference(subst, [], [clause_73 : [bind(B_9, $fot(X_84))]])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_6, plain,
% 6.23/6.42 (~ 'LE'(f(X_72), s(s(s(0)))) | 'E'(s(s(0)), f(X_72)) |
% 6.23/6.42 'LE'(f(X_72), s(s(0)))),
% 6.23/6.42 inference(subst, [], [clause_73 : [bind(B_9, $fot(X_72))]])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_7, plain, ('LE'(f(B_4), s(s(s(s(0)))))),
% 6.23/6.42 inference(subst, [], [clause_113 : [bind(A, $fot(B_4))]])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_8, plain,
% 6.23/6.42 ('E'(s(s(s(0))), f(B_4)) | 'LE'(f(B_4), s(s(s(0))))),
% 6.23/6.42 inference(resolve, [$cnf('LE'(f(B_4), s(s(s(s(0))))))],
% 6.23/6.42 [refute_0_7, clause_61])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_9, plain,
% 6.23/6.42 ('E'(s(s(s(0))), f(X_12)) | 'LE'(f(X_12), s(s(s(0))))),
% 6.23/6.42 inference(subst, [], [refute_0_8 : [bind(B_4, $fot(X_12))]])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_10, plain,
% 6.23/6.42 (~ 'LE'(f(X_12), s(s(s(0)))) | 'E'(s(s(0)), f(X_12)) |
% 6.23/6.42 'LE'(f(X_12), s(s(0)))),
% 6.23/6.42 inference(subst, [], [clause_73 : [bind(B_9, $fot(X_12))]])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_11, plain,
% 6.23/6.42 ('E'(s(s(0)), f(X_12)) | 'E'(s(s(s(0))), f(X_12)) |
% 6.23/6.42 'LE'(f(X_12), s(s(0)))),
% 6.23/6.42 inference(resolve, [$cnf('LE'(f(X_12), s(s(s(0)))))],
% 6.23/6.42 [refute_0_9, refute_0_10])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_12, plain,
% 6.23/6.42 ('E'(s(s(0)), f(X_25)) | 'E'(s(s(s(0))), f(X_25)) |
% 6.23/6.42 'LE'(f(X_25), s(s(0)))),
% 6.23/6.42 inference(subst, [], [refute_0_11 : [bind(X_12, $fot(X_25))]])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_13, plain, ('LE'(f(suc(B_4)), s(s(s(s(0)))))),
% 6.23/6.42 inference(subst, [], [clause_113 : [bind(A, $fot(suc(B_4)))]])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_14, plain,
% 6.23/6.42 ('E'(s(s(s(0))), f(suc(B_4))) | 'LE'(f(B_4), s(s(s(0))))),
% 6.23/6.42 inference(resolve, [$cnf('LE'(f(suc(B_4)), s(s(s(s(0))))))],
% 6.23/6.42 [refute_0_13, clause_13])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_15, plain,
% 6.23/6.42 ('E'(s(s(s(0))), f(suc(X_21))) | 'LE'(f(X_21), s(s(s(0))))),
% 6.23/6.42 inference(subst, [], [refute_0_14 : [bind(B_4, $fot(X_21))]])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_16, plain,
% 6.23/6.42 (~ 'E'(s(s(s(0))), f(X_21)) | ~ 'E'(s(s(s(0))), f(suc(X_21))) |
% 6.23/6.42 'E'(f(X_21), f(suc(X_21))) | iLEQ(suc(X_21), suc(X_21))),
% 6.23/6.42 inference(subst, [], [clause_65 : [bind(A_1, $fot(X_21))]])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_17, plain,
% 6.23/6.42 (~ 'E'(s(s(s(0))), f(X_21)) | 'E'(f(X_21), f(suc(X_21))) |
% 6.23/6.42 'LE'(f(X_21), s(s(s(0)))) | iLEQ(suc(X_21), suc(X_21))),
% 6.23/6.42 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(X_21))))],
% 6.23/6.42 [refute_0_15, refute_0_16])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_18, plain,
% 6.23/6.42 (~ 'E'(s(s(s(0))), f(X_25)) | 'E'(f(X_25), f(suc(X_25))) |
% 6.23/6.42 'LE'(f(X_25), s(s(s(0)))) | iLEQ(suc(X_25), suc(X_25))),
% 6.23/6.42 inference(subst, [], [refute_0_17 : [bind(X_21, $fot(X_25))]])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_19, plain,
% 6.23/6.42 ('E'(f(X_25), f(suc(X_25))) | 'E'(s(s(0)), f(X_25)) |
% 6.23/6.42 'LE'(f(X_25), s(s(0))) | 'LE'(f(X_25), s(s(s(0)))) |
% 6.23/6.42 iLEQ(suc(X_25), suc(X_25))),
% 6.23/6.42 inference(resolve, [$cnf('E'(s(s(s(0))), f(X_25)))],
% 6.23/6.42 [refute_0_12, refute_0_18])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_20, plain,
% 6.23/6.42 ('E'(f(X_72), f(suc(X_72))) | 'E'(s(s(0)), f(X_72)) |
% 6.23/6.42 'LE'(f(X_72), s(s(0))) | 'LE'(f(X_72), s(s(s(0)))) |
% 6.23/6.42 iLEQ(suc(X_72), suc(X_72))),
% 6.23/6.42 inference(subst, [], [refute_0_19 : [bind(X_25, $fot(X_72))]])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_21, plain,
% 6.23/6.42 ('E'(f(X_72), f(suc(X_72))) | 'E'(s(s(0)), f(X_72)) |
% 6.23/6.42 'LE'(f(X_72), s(s(0))) | iLEQ(suc(X_72), suc(X_72))),
% 6.23/6.42 inference(resolve, [$cnf('LE'(f(X_72), s(s(s(0)))))],
% 6.23/6.42 [refute_0_20, refute_0_6])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_22, plain,
% 6.23/6.42 ('E'(f(X_83), f(suc(X_83))) | 'E'(s(s(0)), f(X_83)) |
% 6.23/6.42 'LE'(f(X_83), s(s(0))) | iLEQ(suc(X_83), suc(X_83))),
% 6.23/6.42 inference(subst, [], [refute_0_21 : [bind(X_72, $fot(X_83))]])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_23, plain,
% 6.23/6.42 ('E'(s(s(0)), f(X_50)) | 'E'(s(s(s(0))), f(X_50)) |
% 6.23/6.42 'LE'(f(X_50), s(s(0)))),
% 6.23/6.42 inference(subst, [], [refute_0_11 : [bind(X_12, $fot(X_50))]])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_24, plain,
% 6.23/6.42 ('E'(s(s(s(0))), f(suc(X_49))) | 'LE'(f(X_49), s(s(s(0))))),
% 6.23/6.42 inference(subst, [], [refute_0_14 : [bind(B_4, $fot(X_49))]])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_25, plain, ('LE'(f(suc(suc(B_4))), s(s(s(s(0)))))),
% 6.23/6.42 inference(subst, [], [clause_113 : [bind(A, $fot(suc(suc(B_4))))]])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_26, plain,
% 6.23/6.42 ('E'(s(s(s(0))), f(suc(suc(B_4)))) | 'LE'(f(B_4), s(s(s(0))))),
% 6.23/6.42 inference(resolve, [$cnf('LE'(f(suc(suc(B_4))), s(s(s(s(0))))))],
% 6.23/6.42 [refute_0_25, clause_143])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_27, plain,
% 6.23/6.42 ('E'(s(s(s(0))), f(suc(suc(X_35)))) | 'LE'(f(X_35), s(s(s(0))))),
% 6.23/6.42 inference(subst, [], [refute_0_26 : [bind(B_4, $fot(X_35))]])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_28, plain,
% 6.23/6.42 (~ 'E'(f(X_35), f(suc(X_35))) | ~ 'E'(s(s(s(0))), f(X_35)) |
% 6.23/6.42 ~ 'E'(s(s(s(0))), f(suc(X_35))) |
% 6.23/6.42 ~ 'E'(s(s(s(0))), f(suc(suc(X_35)))) | iLEQ(suc(X_35), suc(X_35))),
% 6.23/6.42 inference(subst, [], [clause_140 : [bind(A_1, $fot(X_35))]])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_29, plain,
% 6.23/6.42 (~ 'E'(f(X_35), f(suc(X_35))) | ~ 'E'(s(s(s(0))), f(X_35)) |
% 6.23/6.42 ~ 'E'(s(s(s(0))), f(suc(X_35))) | 'LE'(f(X_35), s(s(s(0)))) |
% 6.23/6.42 iLEQ(suc(X_35), suc(X_35))),
% 6.23/6.42 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(suc(X_35)))))],
% 6.23/6.42 [refute_0_27, refute_0_28])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_30, plain,
% 6.23/6.42 (~ 'E'(f(X_49), f(suc(X_49))) | ~ 'E'(s(s(s(0))), f(X_49)) |
% 6.23/6.42 ~ 'E'(s(s(s(0))), f(suc(X_49))) | 'LE'(f(X_49), s(s(s(0)))) |
% 6.23/6.42 iLEQ(suc(X_49), suc(X_49))),
% 6.23/6.42 inference(subst, [], [refute_0_29 : [bind(X_35, $fot(X_49))]])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_31, plain,
% 6.23/6.42 (~ 'E'(f(X_49), f(suc(X_49))) | ~ 'E'(s(s(s(0))), f(X_49)) |
% 6.23/6.42 'LE'(f(X_49), s(s(s(0)))) | iLEQ(suc(X_49), suc(X_49))),
% 6.23/6.42 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(X_49))))],
% 6.23/6.42 [refute_0_24, refute_0_30])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_32, plain,
% 6.23/6.42 (~ 'E'(f(X_50), f(suc(X_50))) | ~ 'E'(s(s(s(0))), f(X_50)) |
% 6.23/6.42 'LE'(f(X_50), s(s(s(0)))) | iLEQ(suc(X_50), suc(X_50))),
% 6.23/6.42 inference(subst, [], [refute_0_31 : [bind(X_49, $fot(X_50))]])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_33, plain,
% 6.23/6.42 (~ 'E'(f(X_50), f(suc(X_50))) | 'E'(s(s(0)), f(X_50)) |
% 6.23/6.42 'LE'(f(X_50), s(s(0))) | 'LE'(f(X_50), s(s(s(0)))) |
% 6.23/6.42 iLEQ(suc(X_50), suc(X_50))),
% 6.23/6.42 inference(resolve, [$cnf('E'(s(s(s(0))), f(X_50)))],
% 6.23/6.42 [refute_0_23, refute_0_32])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_34, plain,
% 6.23/6.42 (~ 'E'(f(X_83), f(suc(X_83))) | 'E'(s(s(0)), f(X_83)) |
% 6.23/6.42 'LE'(f(X_83), s(s(0))) | 'LE'(f(X_83), s(s(s(0)))) |
% 6.23/6.42 iLEQ(suc(X_83), suc(X_83))),
% 6.23/6.42 inference(subst, [], [refute_0_33 : [bind(X_50, $fot(X_83))]])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_35, plain,
% 6.23/6.42 ('E'(s(s(0)), f(X_83)) | 'LE'(f(X_83), s(s(0))) |
% 6.23/6.42 'LE'(f(X_83), s(s(s(0)))) | iLEQ(suc(X_83), suc(X_83))),
% 6.23/6.42 inference(resolve, [$cnf('E'(f(X_83), f(suc(X_83))))],
% 6.23/6.42 [refute_0_22, refute_0_34])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_36, plain,
% 6.23/6.42 ('E'(s(s(0)), f(X_84)) | 'LE'(f(X_84), s(s(0))) |
% 6.23/6.42 'LE'(f(X_84), s(s(s(0)))) | iLEQ(suc(X_84), suc(X_84))),
% 6.23/6.42 inference(subst, [], [refute_0_35 : [bind(X_83, $fot(X_84))]])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_37, plain,
% 6.23/6.42 ('E'(s(s(0)), f(X_84)) | 'LE'(f(X_84), s(s(0))) |
% 6.23/6.42 iLEQ(suc(X_84), suc(X_84))),
% 6.23/6.42 inference(resolve, [$cnf('LE'(f(X_84), s(s(s(0)))))],
% 6.23/6.42 [refute_0_36, refute_0_5])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_38, plain,
% 6.23/6.42 ('E'(s(s(0)), f(X_89)) | 'LE'(f(X_89), s(s(0))) |
% 6.23/6.42 iLEQ(suc(X_89), suc(X_89))),
% 6.23/6.42 inference(subst, [], [refute_0_37 : [bind(X_84, $fot(X_89))]])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_39, plain,
% 6.23/6.42 ('E'(s(s(0)), f(X_45)) | 'E'(s(s(s(0))), f(X_45)) |
% 6.23/6.42 'LE'(f(X_45), s(s(0)))),
% 6.23/6.42 inference(subst, [], [refute_0_11 : [bind(X_12, $fot(X_45))]])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_40, plain,
% 6.23/6.42 ('E'(s(s(s(0))), f(suc(X_44))) | 'LE'(f(X_44), s(s(s(0))))),
% 6.23/6.42 inference(subst, [], [refute_0_14 : [bind(B_4, $fot(X_44))]])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_41, plain,
% 6.23/6.42 ('E'(s(s(s(0))), f(suc(suc(X_36)))) | 'LE'(f(X_36), s(s(s(0))))),
% 6.23/6.42 inference(subst, [], [refute_0_26 : [bind(B_4, $fot(X_36))]])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_42, plain,
% 6.23/6.42 (~ 'E'(f(X_36), f(suc(X_36))) | ~ 'E'(s(s(s(0))), f(X_36)) |
% 6.23/6.42 ~ 'E'(s(s(s(0))), f(suc(X_36))) |
% 6.23/6.42 ~ 'E'(s(s(s(0))), f(suc(suc(X_36)))) | ~ iLEQ(suc(X_36), suc(X_36))),
% 6.23/6.42 inference(subst, [],
% 6.23/6.42 [clause_121 :
% 6.23/6.42 [bind(A_1, $fot(X_36)), bind(B_5, $fot(X_36))]])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_43, plain,
% 6.23/6.42 (~ 'E'(f(X_36), f(suc(X_36))) | ~ 'E'(s(s(s(0))), f(X_36)) |
% 6.23/6.42 ~ 'E'(s(s(s(0))), f(suc(X_36))) | ~ iLEQ(suc(X_36), suc(X_36)) |
% 6.23/6.42 'LE'(f(X_36), s(s(s(0))))),
% 6.23/6.42 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(suc(X_36)))))],
% 6.23/6.42 [refute_0_41, refute_0_42])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_44, plain,
% 6.23/6.42 (~ 'E'(f(X_44), f(suc(X_44))) | ~ 'E'(s(s(s(0))), f(X_44)) |
% 6.23/6.42 ~ 'E'(s(s(s(0))), f(suc(X_44))) | ~ iLEQ(suc(X_44), suc(X_44)) |
% 6.23/6.42 'LE'(f(X_44), s(s(s(0))))),
% 6.23/6.42 inference(subst, [], [refute_0_43 : [bind(X_36, $fot(X_44))]])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_45, plain,
% 6.23/6.42 (~ 'E'(f(X_44), f(suc(X_44))) | ~ 'E'(s(s(s(0))), f(X_44)) |
% 6.23/6.42 ~ iLEQ(suc(X_44), suc(X_44)) | 'LE'(f(X_44), s(s(s(0))))),
% 6.23/6.42 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(X_44))))],
% 6.23/6.42 [refute_0_40, refute_0_44])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_46, plain,
% 6.23/6.42 (~ 'E'(f(X_45), f(suc(X_45))) | ~ 'E'(s(s(s(0))), f(X_45)) |
% 6.23/6.42 ~ iLEQ(suc(X_45), suc(X_45)) | 'LE'(f(X_45), s(s(s(0))))),
% 6.23/6.42 inference(subst, [], [refute_0_45 : [bind(X_44, $fot(X_45))]])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_47, plain,
% 6.23/6.42 (~ 'E'(f(X_45), f(suc(X_45))) | ~ iLEQ(suc(X_45), suc(X_45)) |
% 6.23/6.42 'E'(s(s(0)), f(X_45)) | 'LE'(f(X_45), s(s(0))) |
% 6.23/6.42 'LE'(f(X_45), s(s(s(0))))),
% 6.23/6.42 inference(resolve, [$cnf('E'(s(s(s(0))), f(X_45)))],
% 6.23/6.42 [refute_0_39, refute_0_46])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_48, plain,
% 6.23/6.42 (~ 'E'(f(X_87), f(suc(X_87))) | ~ iLEQ(suc(X_87), suc(X_87)) |
% 6.23/6.42 'E'(s(s(0)), f(X_87)) | 'LE'(f(X_87), s(s(0))) |
% 6.23/6.42 'LE'(f(X_87), s(s(s(0))))),
% 6.23/6.42 inference(subst, [], [refute_0_47 : [bind(X_45, $fot(X_87))]])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_49, plain,
% 6.23/6.42 ('E'(s(s(0)), f(X_26)) | 'E'(s(s(s(0))), f(X_26)) |
% 6.23/6.42 'LE'(f(X_26), s(s(0)))),
% 6.23/6.42 inference(subst, [], [refute_0_11 : [bind(X_12, $fot(X_26))]])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_50, plain,
% 6.23/6.42 ('E'(s(s(s(0))), f(suc(X_22))) | 'LE'(f(X_22), s(s(s(0))))),
% 6.23/6.42 inference(subst, [], [refute_0_14 : [bind(B_4, $fot(X_22))]])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_51, plain,
% 6.23/6.42 (~ 'E'(s(s(s(0))), f(X_22)) | ~ 'E'(s(s(s(0))), f(suc(X_22))) |
% 6.23/6.42 ~ iLEQ(suc(X_22), suc(X_22)) | 'E'(f(X_22), f(suc(X_22)))),
% 6.23/6.42 inference(subst, [],
% 6.23/6.42 [clause_51 :
% 6.23/6.42 [bind(A_1, $fot(X_22)), bind(B_5, $fot(X_22))]])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_52, plain,
% 6.23/6.42 (~ 'E'(s(s(s(0))), f(X_22)) | ~ iLEQ(suc(X_22), suc(X_22)) |
% 6.23/6.42 'E'(f(X_22), f(suc(X_22))) | 'LE'(f(X_22), s(s(s(0))))),
% 6.23/6.42 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(X_22))))],
% 6.23/6.42 [refute_0_50, refute_0_51])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_53, plain,
% 6.23/6.42 (~ 'E'(s(s(s(0))), f(X_26)) | ~ iLEQ(suc(X_26), suc(X_26)) |
% 6.23/6.42 'E'(f(X_26), f(suc(X_26))) | 'LE'(f(X_26), s(s(s(0))))),
% 6.23/6.42 inference(subst, [], [refute_0_52 : [bind(X_22, $fot(X_26))]])).
% 6.23/6.42
% 6.23/6.42 cnf(refute_0_54, plain,
% 6.23/6.42 (~ iLEQ(suc(X_26), suc(X_26)) | 'E'(f(X_26), f(suc(X_26))) |
% 6.23/6.42 'E'(s(s(0)), f(X_26)) | 'LE'(f(X_26), s(s(0))) |
% 6.23/6.42 'LE'(f(X_26), s(s(s(0))))),
% 6.23/6.42 inference(resolve, [$cnf('E'(s(s(s(0))), f(X_26)))],
% 6.23/6.42 [refute_0_49, refute_0_53])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_55, plain,
% 6.23/6.43 (~ iLEQ(suc(X_84), suc(X_84)) | 'E'(f(X_84), f(suc(X_84))) |
% 6.23/6.43 'E'(s(s(0)), f(X_84)) | 'LE'(f(X_84), s(s(0))) |
% 6.23/6.43 'LE'(f(X_84), s(s(s(0))))),
% 6.23/6.43 inference(subst, [], [refute_0_54 : [bind(X_26, $fot(X_84))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_56, plain,
% 6.23/6.43 ('E'(f(X_84), f(suc(X_84))) | 'E'(s(s(0)), f(X_84)) |
% 6.23/6.43 'LE'(f(X_84), s(s(0))) | 'LE'(f(X_84), s(s(s(0))))),
% 6.23/6.43 inference(resolve, [$cnf(iLEQ(suc(X_84), suc(X_84)))],
% 6.23/6.43 [refute_0_36, refute_0_55])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_57, plain,
% 6.23/6.43 ('E'(f(X_87), f(suc(X_87))) | 'E'(s(s(0)), f(X_87)) |
% 6.23/6.43 'LE'(f(X_87), s(s(0))) | 'LE'(f(X_87), s(s(s(0))))),
% 6.23/6.43 inference(subst, [], [refute_0_56 : [bind(X_84, $fot(X_87))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_58, plain,
% 6.23/6.43 (~ iLEQ(suc(X_87), suc(X_87)) | 'E'(s(s(0)), f(X_87)) |
% 6.23/6.43 'LE'(f(X_87), s(s(0))) | 'LE'(f(X_87), s(s(s(0))))),
% 6.23/6.43 inference(resolve, [$cnf('E'(f(X_87), f(suc(X_87))))],
% 6.23/6.43 [refute_0_57, refute_0_48])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_59, plain,
% 6.23/6.43 (~ iLEQ(suc(X_89), suc(X_89)) | 'E'(s(s(0)), f(X_89)) |
% 6.23/6.43 'LE'(f(X_89), s(s(0))) | 'LE'(f(X_89), s(s(s(0))))),
% 6.23/6.43 inference(subst, [], [refute_0_58 : [bind(X_87, $fot(X_89))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_60, plain,
% 6.23/6.43 ('E'(s(s(0)), f(X_89)) | 'LE'(f(X_89), s(s(0))) |
% 6.23/6.43 'LE'(f(X_89), s(s(s(0))))),
% 6.23/6.43 inference(resolve, [$cnf(iLEQ(suc(X_89), suc(X_89)))],
% 6.23/6.43 [refute_0_38, refute_0_59])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_61, plain,
% 6.23/6.43 ('E'(s(s(0)), f(X_90)) | 'LE'(f(X_90), s(s(0))) |
% 6.23/6.43 'LE'(f(X_90), s(s(s(0))))),
% 6.23/6.43 inference(subst, [], [refute_0_60 : [bind(X_89, $fot(X_90))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_62, plain, ('E'(s(s(0)), f(X_90)) | 'LE'(f(X_90), s(s(0)))),
% 6.23/6.43 inference(resolve, [$cnf('LE'(f(X_90), s(s(s(0)))))],
% 6.23/6.43 [refute_0_61, refute_0_4])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_63, plain, ('E'(s(s(0)), f(X_91)) | 'LE'(f(X_91), s(s(0)))),
% 6.23/6.43 inference(subst, [], [refute_0_62 : [bind(X_90, $fot(X_91))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_64, plain,
% 6.23/6.43 ('E'(s(0), f(X_91)) | 'E'(s(s(0)), f(X_91)) | 'LE'(f(X_91), s(0))),
% 6.23/6.43 inference(resolve, [$cnf('LE'(f(X_91), s(s(0))))],
% 6.23/6.43 [refute_0_63, refute_0_3])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_65, plain,
% 6.23/6.43 ('E'(s(0), f(X_256)) | 'E'(s(s(0)), f(X_256)) | 'LE'(f(X_256), s(0))),
% 6.23/6.43 inference(subst, [], [refute_0_64 : [bind(X_91, $fot(X_256))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_66, plain,
% 6.23/6.43 (~ 'LE'(f(X_165), s(s(0))) | 'E'(s(0), f(X_165)) |
% 6.23/6.43 'LE'(f(X_165), s(0))),
% 6.23/6.43 inference(subst, [], [clause_15 : [bind(B_13, $fot(X_165))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_67, plain,
% 6.23/6.43 ('E'(s(0), f(X_135)) | 'E'(s(s(0)), f(X_135)) | 'LE'(f(X_135), s(0))),
% 6.23/6.43 inference(subst, [], [refute_0_64 : [bind(X_91, $fot(X_135))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_68, plain,
% 6.23/6.43 (~ 'E'(s(s(0)), f(X_133)) | ~ 'E'(s(s(0)), f(suc(X_133))) |
% 6.23/6.43 'E'(f(X_133), f(suc(X_133))) | iLEQ(suc(X_133), suc(X_133))),
% 6.23/6.43 inference(subst, [], [clause_84 : [bind(A_2, $fot(X_133))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_69, plain,
% 6.23/6.43 (~ 'LE'(f(suc(X_132)), s(s(s(0)))) | 'E'(s(s(0)), f(suc(X_132))) |
% 6.23/6.43 'LE'(f(X_132), s(s(0)))),
% 6.23/6.43 inference(subst, [], [clause_87 : [bind(B_9, $fot(X_132))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_70, plain,
% 6.23/6.43 (~ 'LE'(f(suc(X_127)), s(s(s(0)))) | 'E'(s(s(0)), f(suc(X_127))) |
% 6.23/6.43 'LE'(f(X_127), s(s(0)))),
% 6.23/6.43 inference(subst, [], [clause_87 : [bind(B_9, $fot(X_127))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_71, plain,
% 6.23/6.43 (~ 'LE'(f(suc(X_95)), s(s(s(0)))) | 'E'(s(s(0)), f(suc(X_95))) |
% 6.23/6.43 'LE'(f(X_95), s(s(0)))),
% 6.23/6.43 inference(subst, [], [clause_87 : [bind(B_9, $fot(X_95))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_72, plain,
% 6.23/6.43 ('E'(s(s(s(0))), f(suc(X_10))) | 'LE'(f(suc(X_10)), s(s(s(0))))),
% 6.23/6.43 inference(subst, [], [refute_0_8 : [bind(B_4, $fot(suc(X_10)))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_73, plain,
% 6.23/6.43 (~ 'LE'(f(suc(X_10)), s(s(s(0)))) | 'E'(s(s(0)), f(suc(X_10))) |
% 6.23/6.43 'LE'(f(X_10), s(s(0)))),
% 6.23/6.43 inference(subst, [], [clause_87 : [bind(B_9, $fot(X_10))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_74, plain,
% 6.23/6.43 ('E'(s(s(0)), f(suc(X_10))) | 'E'(s(s(s(0))), f(suc(X_10))) |
% 6.23/6.43 'LE'(f(X_10), s(s(0)))),
% 6.23/6.43 inference(resolve, [$cnf('LE'(f(suc(X_10)), s(s(s(0)))))],
% 6.23/6.43 [refute_0_72, refute_0_73])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_75, plain,
% 6.23/6.43 (~ 'E'(s(s(s(0))), f(suc(X_10))) |
% 6.23/6.43 'E'(f(suc(X_10)), f(suc(suc(X_10)))) |
% 6.23/6.43 'LE'(f(suc(X_10)), s(s(s(0)))) |
% 6.23/6.43 iLEQ(suc(suc(X_10)), suc(suc(X_10)))),
% 6.23/6.43 inference(subst, [], [refute_0_17 : [bind(X_21, $fot(suc(X_10)))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_76, plain,
% 6.23/6.43 ('E'(f(suc(X_10)), f(suc(suc(X_10)))) | 'E'(s(s(0)), f(suc(X_10))) |
% 6.23/6.43 'LE'(f(X_10), s(s(0))) | 'LE'(f(suc(X_10)), s(s(s(0)))) |
% 6.23/6.43 iLEQ(suc(suc(X_10)), suc(suc(X_10)))),
% 6.23/6.43 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(X_10))))],
% 6.23/6.43 [refute_0_74, refute_0_75])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_77, plain,
% 6.23/6.43 ('E'(f(suc(X_95)), f(suc(suc(X_95)))) | 'E'(s(s(0)), f(suc(X_95))) |
% 6.23/6.43 'LE'(f(X_95), s(s(0))) | 'LE'(f(suc(X_95)), s(s(s(0)))) |
% 6.23/6.43 iLEQ(suc(suc(X_95)), suc(suc(X_95)))),
% 6.23/6.43 inference(subst, [], [refute_0_76 : [bind(X_10, $fot(X_95))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_78, plain,
% 6.23/6.43 ('E'(f(suc(X_95)), f(suc(suc(X_95)))) | 'E'(s(s(0)), f(suc(X_95))) |
% 6.23/6.43 'LE'(f(X_95), s(s(0))) | iLEQ(suc(suc(X_95)), suc(suc(X_95)))),
% 6.23/6.43 inference(resolve, [$cnf('LE'(f(suc(X_95)), s(s(s(0)))))],
% 6.23/6.43 [refute_0_77, refute_0_71])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_79, plain,
% 6.23/6.43 ('E'(f(suc(X_126)), f(suc(suc(X_126)))) | 'E'(s(s(0)), f(suc(X_126))) |
% 6.23/6.43 'LE'(f(X_126), s(s(0))) | iLEQ(suc(suc(X_126)), suc(suc(X_126)))),
% 6.23/6.43 inference(subst, [], [refute_0_78 : [bind(X_95, $fot(X_126))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_80, plain,
% 6.23/6.43 (~ 'E'(f(suc(X_10)), f(suc(suc(X_10)))) |
% 6.23/6.43 ~ 'E'(s(s(s(0))), f(suc(X_10))) | 'LE'(f(suc(X_10)), s(s(s(0)))) |
% 6.23/6.43 iLEQ(suc(suc(X_10)), suc(suc(X_10)))),
% 6.23/6.43 inference(subst, [], [refute_0_31 : [bind(X_49, $fot(suc(X_10)))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_81, plain,
% 6.23/6.43 (~ 'E'(f(suc(X_10)), f(suc(suc(X_10)))) | 'E'(s(s(0)), f(suc(X_10))) |
% 6.23/6.43 'LE'(f(X_10), s(s(0))) | 'LE'(f(suc(X_10)), s(s(s(0)))) |
% 6.23/6.43 iLEQ(suc(suc(X_10)), suc(suc(X_10)))),
% 6.23/6.43 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(X_10))))],
% 6.23/6.43 [refute_0_74, refute_0_80])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_82, plain,
% 6.23/6.43 (~ 'E'(f(suc(X_126)), f(suc(suc(X_126)))) |
% 6.23/6.43 'E'(s(s(0)), f(suc(X_126))) | 'LE'(f(X_126), s(s(0))) |
% 6.23/6.43 'LE'(f(suc(X_126)), s(s(s(0)))) |
% 6.23/6.43 iLEQ(suc(suc(X_126)), suc(suc(X_126)))),
% 6.23/6.43 inference(subst, [], [refute_0_81 : [bind(X_10, $fot(X_126))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_83, plain,
% 6.23/6.43 ('E'(s(s(0)), f(suc(X_126))) | 'LE'(f(X_126), s(s(0))) |
% 6.23/6.43 'LE'(f(suc(X_126)), s(s(s(0)))) |
% 6.23/6.43 iLEQ(suc(suc(X_126)), suc(suc(X_126)))),
% 6.23/6.43 inference(resolve, [$cnf('E'(f(suc(X_126)), f(suc(suc(X_126)))))],
% 6.23/6.43 [refute_0_79, refute_0_82])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_84, plain,
% 6.23/6.43 ('E'(s(s(0)), f(suc(X_127))) | 'LE'(f(X_127), s(s(0))) |
% 6.23/6.43 'LE'(f(suc(X_127)), s(s(s(0)))) |
% 6.23/6.43 iLEQ(suc(suc(X_127)), suc(suc(X_127)))),
% 6.23/6.43 inference(subst, [], [refute_0_83 : [bind(X_126, $fot(X_127))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_85, plain,
% 6.23/6.43 ('E'(s(s(0)), f(suc(X_127))) | 'LE'(f(X_127), s(s(0))) |
% 6.23/6.43 iLEQ(suc(suc(X_127)), suc(suc(X_127)))),
% 6.23/6.43 inference(resolve, [$cnf('LE'(f(suc(X_127)), s(s(s(0)))))],
% 6.23/6.43 [refute_0_84, refute_0_70])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_86, plain,
% 6.23/6.43 ('E'(s(s(0)), f(suc(X_131))) | 'LE'(f(X_131), s(s(0))) |
% 6.23/6.43 iLEQ(suc(suc(X_131)), suc(suc(X_131)))),
% 6.23/6.43 inference(subst, [], [refute_0_85 : [bind(X_127, $fot(X_131))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_87, plain,
% 6.23/6.43 (~ 'E'(f(suc(X_10)), f(suc(suc(X_10)))) |
% 6.23/6.43 ~ 'E'(s(s(s(0))), f(suc(X_10))) |
% 6.23/6.43 ~ iLEQ(suc(suc(X_10)), suc(suc(X_10))) |
% 6.23/6.43 'LE'(f(suc(X_10)), s(s(s(0))))),
% 6.23/6.43 inference(subst, [], [refute_0_45 : [bind(X_44, $fot(suc(X_10)))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_88, plain,
% 6.23/6.43 (~ 'E'(f(suc(X_10)), f(suc(suc(X_10)))) |
% 6.23/6.43 ~ iLEQ(suc(suc(X_10)), suc(suc(X_10))) | 'E'(s(s(0)), f(suc(X_10))) |
% 6.23/6.43 'LE'(f(X_10), s(s(0))) | 'LE'(f(suc(X_10)), s(s(s(0))))),
% 6.23/6.43 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(X_10))))],
% 6.23/6.43 [refute_0_74, refute_0_87])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_89, plain,
% 6.23/6.43 (~ 'E'(f(suc(X_129)), f(suc(suc(X_129)))) |
% 6.23/6.43 ~ iLEQ(suc(suc(X_129)), suc(suc(X_129))) |
% 6.23/6.43 'E'(s(s(0)), f(suc(X_129))) | 'LE'(f(X_129), s(s(0))) |
% 6.23/6.43 'LE'(f(suc(X_129)), s(s(s(0))))),
% 6.23/6.43 inference(subst, [], [refute_0_88 : [bind(X_10, $fot(X_129))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_90, plain,
% 6.23/6.43 (~ 'E'(s(s(s(0))), f(suc(X_10))) |
% 6.23/6.43 ~ iLEQ(suc(suc(X_10)), suc(suc(X_10))) |
% 6.23/6.43 'E'(f(suc(X_10)), f(suc(suc(X_10)))) |
% 6.23/6.43 'LE'(f(suc(X_10)), s(s(s(0))))),
% 6.23/6.43 inference(subst, [], [refute_0_52 : [bind(X_22, $fot(suc(X_10)))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_91, plain,
% 6.23/6.43 (~ iLEQ(suc(suc(X_10)), suc(suc(X_10))) |
% 6.23/6.43 'E'(f(suc(X_10)), f(suc(suc(X_10)))) | 'E'(s(s(0)), f(suc(X_10))) |
% 6.23/6.43 'LE'(f(X_10), s(s(0))) | 'LE'(f(suc(X_10)), s(s(s(0))))),
% 6.23/6.43 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(X_10))))],
% 6.23/6.43 [refute_0_74, refute_0_90])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_92, plain,
% 6.23/6.43 (~ iLEQ(suc(suc(X_127)), suc(suc(X_127))) |
% 6.23/6.43 'E'(f(suc(X_127)), f(suc(suc(X_127)))) | 'E'(s(s(0)), f(suc(X_127))) |
% 6.23/6.43 'LE'(f(X_127), s(s(0))) | 'LE'(f(suc(X_127)), s(s(s(0))))),
% 6.23/6.43 inference(subst, [], [refute_0_91 : [bind(X_10, $fot(X_127))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_93, plain,
% 6.23/6.43 ('E'(f(suc(X_127)), f(suc(suc(X_127)))) | 'E'(s(s(0)), f(suc(X_127))) |
% 6.23/6.43 'LE'(f(X_127), s(s(0))) | 'LE'(f(suc(X_127)), s(s(s(0))))),
% 6.23/6.43 inference(resolve, [$cnf(iLEQ(suc(suc(X_127)), suc(suc(X_127))))],
% 6.23/6.43 [refute_0_84, refute_0_92])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_94, plain,
% 6.23/6.43 ('E'(f(suc(X_129)), f(suc(suc(X_129)))) | 'E'(s(s(0)), f(suc(X_129))) |
% 6.23/6.43 'LE'(f(X_129), s(s(0))) | 'LE'(f(suc(X_129)), s(s(s(0))))),
% 6.23/6.43 inference(subst, [], [refute_0_93 : [bind(X_127, $fot(X_129))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_95, plain,
% 6.23/6.43 (~ iLEQ(suc(suc(X_129)), suc(suc(X_129))) |
% 6.23/6.43 'E'(s(s(0)), f(suc(X_129))) | 'LE'(f(X_129), s(s(0))) |
% 6.23/6.43 'LE'(f(suc(X_129)), s(s(s(0))))),
% 6.23/6.43 inference(resolve, [$cnf('E'(f(suc(X_129)), f(suc(suc(X_129)))))],
% 6.23/6.43 [refute_0_94, refute_0_89])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_96, plain,
% 6.23/6.43 (~ iLEQ(suc(suc(X_131)), suc(suc(X_131))) |
% 6.23/6.43 'E'(s(s(0)), f(suc(X_131))) | 'LE'(f(X_131), s(s(0))) |
% 6.23/6.43 'LE'(f(suc(X_131)), s(s(s(0))))),
% 6.23/6.43 inference(subst, [], [refute_0_95 : [bind(X_129, $fot(X_131))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_97, plain,
% 6.23/6.43 ('E'(s(s(0)), f(suc(X_131))) | 'LE'(f(X_131), s(s(0))) |
% 6.23/6.43 'LE'(f(suc(X_131)), s(s(s(0))))),
% 6.23/6.43 inference(resolve, [$cnf(iLEQ(suc(suc(X_131)), suc(suc(X_131))))],
% 6.23/6.43 [refute_0_86, refute_0_96])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_98, plain,
% 6.23/6.43 ('E'(s(s(0)), f(suc(X_132))) | 'LE'(f(X_132), s(s(0))) |
% 6.23/6.43 'LE'(f(suc(X_132)), s(s(s(0))))),
% 6.23/6.43 inference(subst, [], [refute_0_97 : [bind(X_131, $fot(X_132))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_99, plain,
% 6.23/6.43 ('E'(s(s(0)), f(suc(X_132))) | 'LE'(f(X_132), s(s(0)))),
% 6.23/6.43 inference(resolve, [$cnf('LE'(f(suc(X_132)), s(s(s(0)))))],
% 6.23/6.43 [refute_0_98, refute_0_69])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_100, plain,
% 6.23/6.43 ('E'(s(s(0)), f(suc(X_133))) | 'LE'(f(X_133), s(s(0)))),
% 6.23/6.43 inference(subst, [], [refute_0_99 : [bind(X_132, $fot(X_133))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_101, plain,
% 6.23/6.43 (~ 'E'(s(s(0)), f(X_133)) | 'E'(f(X_133), f(suc(X_133))) |
% 6.23/6.43 'LE'(f(X_133), s(s(0))) | iLEQ(suc(X_133), suc(X_133))),
% 6.23/6.43 inference(resolve, [$cnf('E'(s(s(0)), f(suc(X_133))))],
% 6.23/6.43 [refute_0_100, refute_0_68])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_102, plain,
% 6.23/6.43 (~ 'E'(s(s(0)), f(X_135)) | 'E'(f(X_135), f(suc(X_135))) |
% 6.23/6.43 'LE'(f(X_135), s(s(0))) | iLEQ(suc(X_135), suc(X_135))),
% 6.23/6.43 inference(subst, [], [refute_0_101 : [bind(X_133, $fot(X_135))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_103, plain,
% 6.23/6.43 ('E'(f(X_135), f(suc(X_135))) | 'E'(s(0), f(X_135)) |
% 6.23/6.43 'LE'(f(X_135), s(0)) | 'LE'(f(X_135), s(s(0))) |
% 6.23/6.43 iLEQ(suc(X_135), suc(X_135))),
% 6.23/6.43 inference(resolve, [$cnf('E'(s(s(0)), f(X_135)))],
% 6.23/6.43 [refute_0_67, refute_0_102])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_104, plain,
% 6.23/6.43 ('E'(f(X_165), f(suc(X_165))) | 'E'(s(0), f(X_165)) |
% 6.23/6.43 'LE'(f(X_165), s(0)) | 'LE'(f(X_165), s(s(0))) |
% 6.23/6.43 iLEQ(suc(X_165), suc(X_165))),
% 6.23/6.43 inference(subst, [], [refute_0_103 : [bind(X_135, $fot(X_165))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_105, plain,
% 6.23/6.43 ('E'(f(X_165), f(suc(X_165))) | 'E'(s(0), f(X_165)) |
% 6.23/6.43 'LE'(f(X_165), s(0)) | iLEQ(suc(X_165), suc(X_165))),
% 6.23/6.43 inference(resolve, [$cnf('LE'(f(X_165), s(s(0))))],
% 6.23/6.43 [refute_0_104, refute_0_66])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_106, plain,
% 6.23/6.43 ('E'(f(X_226), f(suc(X_226))) | 'E'(s(0), f(X_226)) |
% 6.23/6.43 'LE'(f(X_226), s(0)) | iLEQ(suc(X_226), suc(X_226))),
% 6.23/6.43 inference(subst, [], [refute_0_105 : [bind(X_165, $fot(X_226))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_107, plain,
% 6.23/6.43 ('E'(s(s(0)), f(suc(X_225))) | 'LE'(f(X_225), s(s(0)))),
% 6.23/6.43 inference(subst, [], [refute_0_99 : [bind(X_132, $fot(X_225))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_108, plain,
% 6.23/6.43 (~ 'E'(f(X_217), f(suc(X_217))) | ~ 'E'(s(s(0)), f(X_217)) |
% 6.23/6.43 ~ 'E'(s(s(0)), f(suc(X_217))) | ~ 'E'(s(s(0)), f(suc(suc(X_217)))) |
% 6.23/6.43 iLEQ(suc(X_217), suc(X_217))),
% 6.23/6.43 inference(subst, [], [clause_97 : [bind(A_2, $fot(X_217))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_109, plain,
% 6.23/6.43 (~ 'LE'(f(suc(suc(X_216))), s(s(s(0)))) |
% 6.23/6.43 'E'(s(s(0)), f(suc(suc(X_216)))) | 'LE'(f(X_216), s(s(0)))),
% 6.23/6.43 inference(subst, [], [clause_18 : [bind(B_9, $fot(X_216))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_110, plain,
% 6.23/6.43 ('E'(s(s(s(0))), f(suc(suc(X_14)))) |
% 6.23/6.43 'LE'(f(suc(suc(X_14))), s(s(s(0))))),
% 6.23/6.43 inference(subst, [],
% 6.23/6.43 [refute_0_8 : [bind(B_4, $fot(suc(suc(X_14))))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_111, plain,
% 6.23/6.43 (~ 'LE'(f(suc(suc(X_14))), s(s(s(0)))) |
% 6.23/6.43 'E'(s(s(0)), f(suc(suc(X_14)))) | 'LE'(f(X_14), s(s(0)))),
% 6.23/6.43 inference(subst, [], [clause_18 : [bind(B_9, $fot(X_14))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_112, plain,
% 6.23/6.43 ('E'(s(s(0)), f(suc(suc(X_14)))) | 'E'(s(s(s(0))), f(suc(suc(X_14)))) |
% 6.23/6.43 'LE'(f(X_14), s(s(0)))),
% 6.23/6.43 inference(resolve, [$cnf('LE'(f(suc(suc(X_14))), s(s(s(0)))))],
% 6.23/6.43 [refute_0_110, refute_0_111])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_113, plain,
% 6.23/6.43 ('E'(s(s(0)), f(suc(suc(X_215)))) |
% 6.23/6.43 'E'(s(s(s(0))), f(suc(suc(X_215)))) | 'LE'(f(X_215), s(s(0)))),
% 6.23/6.43 inference(subst, [], [refute_0_112 : [bind(X_14, $fot(X_215))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_114, plain,
% 6.23/6.43 ('E'(s(s(0)), f(suc(suc(X_144)))) |
% 6.23/6.43 'E'(s(s(s(0))), f(suc(suc(X_144)))) | 'LE'(f(X_144), s(s(0)))),
% 6.23/6.43 inference(subst, [], [refute_0_112 : [bind(X_14, $fot(X_144))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_115, plain,
% 6.23/6.43 (~ 'E'(f(suc(suc(X_125))), f(suc(suc(suc(X_125))))) |
% 6.23/6.43 ~ 'E'(s(s(s(0))), f(suc(suc(X_125)))) |
% 6.23/6.43 'LE'(f(suc(suc(X_125))), s(s(s(0)))) |
% 6.23/6.43 iLEQ(suc(suc(suc(X_125))), suc(suc(suc(X_125))))),
% 6.23/6.43 inference(subst, [],
% 6.23/6.43 [refute_0_31 : [bind(X_49, $fot(suc(suc(X_125))))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_116, plain,
% 6.23/6.43 (~ 'E'(s(s(s(0))), f(suc(suc(X_14)))) |
% 6.23/6.43 'E'(f(suc(suc(X_14))), f(suc(suc(suc(X_14))))) |
% 6.23/6.43 'LE'(f(suc(suc(X_14))), s(s(s(0)))) |
% 6.23/6.43 iLEQ(suc(suc(suc(X_14))), suc(suc(suc(X_14))))),
% 6.23/6.43 inference(subst, [],
% 6.23/6.43 [refute_0_17 : [bind(X_21, $fot(suc(suc(X_14))))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_117, plain,
% 6.23/6.43 ('E'(f(suc(suc(X_14))), f(suc(suc(suc(X_14))))) |
% 6.23/6.43 'E'(s(s(0)), f(suc(suc(X_14)))) | 'LE'(f(X_14), s(s(0))) |
% 6.23/6.43 'LE'(f(suc(suc(X_14))), s(s(s(0)))) |
% 6.23/6.43 iLEQ(suc(suc(suc(X_14))), suc(suc(suc(X_14))))),
% 6.23/6.43 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(suc(X_14)))))],
% 6.23/6.43 [refute_0_112, refute_0_116])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_118, plain,
% 6.23/6.43 ('E'(f(suc(suc(X_125))), f(suc(suc(suc(X_125))))) |
% 6.23/6.43 'E'(s(s(0)), f(suc(suc(X_125)))) | 'LE'(f(X_125), s(s(0))) |
% 6.23/6.43 'LE'(f(suc(suc(X_125))), s(s(s(0)))) |
% 6.23/6.43 iLEQ(suc(suc(suc(X_125))), suc(suc(suc(X_125))))),
% 6.23/6.43 inference(subst, [], [refute_0_117 : [bind(X_14, $fot(X_125))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_119, plain,
% 6.23/6.43 (~ 'E'(s(s(s(0))), f(suc(suc(X_125)))) |
% 6.23/6.43 'E'(s(s(0)), f(suc(suc(X_125)))) | 'LE'(f(X_125), s(s(0))) |
% 6.23/6.43 'LE'(f(suc(suc(X_125))), s(s(s(0)))) |
% 6.23/6.43 iLEQ(suc(suc(suc(X_125))), suc(suc(suc(X_125))))),
% 6.23/6.43 inference(resolve,
% 6.23/6.43 [$cnf('E'(f(suc(suc(X_125))), f(suc(suc(suc(X_125))))))],
% 6.23/6.43 [refute_0_118, refute_0_115])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_120, plain,
% 6.23/6.43 (~ 'E'(s(s(s(0))), f(suc(suc(X_144)))) |
% 6.23/6.43 'E'(s(s(0)), f(suc(suc(X_144)))) | 'LE'(f(X_144), s(s(0))) |
% 6.23/6.43 'LE'(f(suc(suc(X_144))), s(s(s(0)))) |
% 6.23/6.43 iLEQ(suc(suc(suc(X_144))), suc(suc(suc(X_144))))),
% 6.23/6.43 inference(subst, [], [refute_0_119 : [bind(X_125, $fot(X_144))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_121, plain,
% 6.23/6.43 ('E'(s(s(0)), f(suc(suc(X_144)))) | 'LE'(f(X_144), s(s(0))) |
% 6.23/6.43 'LE'(f(suc(suc(X_144))), s(s(s(0)))) |
% 6.23/6.43 iLEQ(suc(suc(suc(X_144))), suc(suc(suc(X_144))))),
% 6.23/6.43 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(suc(X_144)))))],
% 6.23/6.43 [refute_0_114, refute_0_120])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_122, plain,
% 6.23/6.43 ('E'(s(s(0)), f(suc(suc(X_214)))) | 'LE'(f(X_214), s(s(0))) |
% 6.23/6.43 'LE'(f(suc(suc(X_214))), s(s(s(0)))) |
% 6.23/6.43 iLEQ(suc(suc(suc(X_214))), suc(suc(suc(X_214))))),
% 6.23/6.43 inference(subst, [], [refute_0_121 : [bind(X_144, $fot(X_214))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_123, plain,
% 6.23/6.43 (~ 'E'(f(suc(suc(X_191))), f(suc(suc(suc(X_191))))) |
% 6.23/6.43 ~ 'E'(s(s(s(0))), f(suc(suc(X_191)))) |
% 6.23/6.43 ~ iLEQ(suc(suc(suc(X_191))), suc(suc(suc(X_191)))) |
% 6.23/6.43 'LE'(f(suc(suc(X_191))), s(s(s(0))))),
% 6.23/6.43 inference(subst, [],
% 6.23/6.43 [refute_0_45 : [bind(X_44, $fot(suc(suc(X_191))))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_124, plain,
% 6.23/6.43 ('E'(s(s(0)), f(suc(suc(X_190)))) |
% 6.23/6.43 'E'(s(s(s(0))), f(suc(suc(X_190)))) | 'LE'(f(X_190), s(s(0)))),
% 6.23/6.43 inference(subst, [], [refute_0_112 : [bind(X_14, $fot(X_190))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_125, plain,
% 6.23/6.43 (~ 'E'(s(s(s(0))), f(suc(suc(X_145)))) |
% 6.23/6.43 ~ iLEQ(suc(suc(suc(X_145))), suc(suc(suc(X_145)))) |
% 6.23/6.43 'E'(f(suc(suc(X_145))), f(suc(suc(suc(X_145))))) |
% 6.23/6.43 'LE'(f(suc(suc(X_145))), s(s(s(0))))),
% 6.23/6.43 inference(subst, [],
% 6.23/6.43 [refute_0_52 : [bind(X_22, $fot(suc(suc(X_145))))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_126, plain,
% 6.23/6.43 ('E'(s(s(0)), f(suc(suc(X_145)))) | 'LE'(f(X_145), s(s(0))) |
% 6.23/6.43 'LE'(f(suc(suc(X_145))), s(s(s(0)))) |
% 6.23/6.43 iLEQ(suc(suc(suc(X_145))), suc(suc(suc(X_145))))),
% 6.23/6.43 inference(subst, [], [refute_0_121 : [bind(X_144, $fot(X_145))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_127, plain,
% 6.23/6.43 (~ 'E'(s(s(s(0))), f(suc(suc(X_145)))) |
% 6.23/6.43 'E'(f(suc(suc(X_145))), f(suc(suc(suc(X_145))))) |
% 6.23/6.43 'E'(s(s(0)), f(suc(suc(X_145)))) | 'LE'(f(X_145), s(s(0))) |
% 6.23/6.43 'LE'(f(suc(suc(X_145))), s(s(s(0))))),
% 6.23/6.43 inference(resolve,
% 6.23/6.43 [$cnf(iLEQ(suc(suc(suc(X_145))), suc(suc(suc(X_145)))))],
% 6.23/6.43 [refute_0_126, refute_0_125])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_128, plain,
% 6.23/6.43 (~ 'E'(s(s(s(0))), f(suc(suc(X_190)))) |
% 6.23/6.43 'E'(f(suc(suc(X_190))), f(suc(suc(suc(X_190))))) |
% 6.23/6.43 'E'(s(s(0)), f(suc(suc(X_190)))) | 'LE'(f(X_190), s(s(0))) |
% 6.23/6.43 'LE'(f(suc(suc(X_190))), s(s(s(0))))),
% 6.23/6.43 inference(subst, [], [refute_0_127 : [bind(X_145, $fot(X_190))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_129, plain,
% 6.23/6.43 ('E'(f(suc(suc(X_190))), f(suc(suc(suc(X_190))))) |
% 6.23/6.43 'E'(s(s(0)), f(suc(suc(X_190)))) | 'LE'(f(X_190), s(s(0))) |
% 6.23/6.43 'LE'(f(suc(suc(X_190))), s(s(s(0))))),
% 6.23/6.43 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(suc(X_190)))))],
% 6.23/6.43 [refute_0_124, refute_0_128])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_130, plain,
% 6.23/6.43 ('E'(f(suc(suc(X_191))), f(suc(suc(suc(X_191))))) |
% 6.23/6.43 'E'(s(s(0)), f(suc(suc(X_191)))) | 'LE'(f(X_191), s(s(0))) |
% 6.23/6.43 'LE'(f(suc(suc(X_191))), s(s(s(0))))),
% 6.23/6.43 inference(subst, [], [refute_0_129 : [bind(X_190, $fot(X_191))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_131, plain,
% 6.23/6.43 (~ 'E'(s(s(s(0))), f(suc(suc(X_191)))) |
% 6.23/6.43 ~ iLEQ(suc(suc(suc(X_191))), suc(suc(suc(X_191)))) |
% 6.23/6.43 'E'(s(s(0)), f(suc(suc(X_191)))) | 'LE'(f(X_191), s(s(0))) |
% 6.23/6.43 'LE'(f(suc(suc(X_191))), s(s(s(0))))),
% 6.23/6.43 inference(resolve,
% 6.23/6.43 [$cnf('E'(f(suc(suc(X_191))), f(suc(suc(suc(X_191))))))],
% 6.23/6.43 [refute_0_130, refute_0_123])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_132, plain,
% 6.23/6.43 (~ 'E'(s(s(s(0))), f(suc(suc(X_214)))) |
% 6.23/6.43 ~ iLEQ(suc(suc(suc(X_214))), suc(suc(suc(X_214)))) |
% 6.23/6.43 'E'(s(s(0)), f(suc(suc(X_214)))) | 'LE'(f(X_214), s(s(0))) |
% 6.23/6.43 'LE'(f(suc(suc(X_214))), s(s(s(0))))),
% 6.23/6.43 inference(subst, [], [refute_0_131 : [bind(X_191, $fot(X_214))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_133, plain,
% 6.23/6.43 (~ 'E'(s(s(s(0))), f(suc(suc(X_214)))) |
% 6.23/6.43 'E'(s(s(0)), f(suc(suc(X_214)))) | 'LE'(f(X_214), s(s(0))) |
% 6.23/6.43 'LE'(f(suc(suc(X_214))), s(s(s(0))))),
% 6.23/6.43 inference(resolve,
% 6.23/6.43 [$cnf(iLEQ(suc(suc(suc(X_214))), suc(suc(suc(X_214)))))],
% 6.23/6.43 [refute_0_122, refute_0_132])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_134, plain,
% 6.23/6.43 (~ 'E'(s(s(s(0))), f(suc(suc(X_215)))) |
% 6.23/6.43 'E'(s(s(0)), f(suc(suc(X_215)))) | 'LE'(f(X_215), s(s(0))) |
% 6.23/6.43 'LE'(f(suc(suc(X_215))), s(s(s(0))))),
% 6.23/6.43 inference(subst, [], [refute_0_133 : [bind(X_214, $fot(X_215))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_135, plain,
% 6.23/6.43 ('E'(s(s(0)), f(suc(suc(X_215)))) | 'LE'(f(X_215), s(s(0))) |
% 6.23/6.43 'LE'(f(suc(suc(X_215))), s(s(s(0))))),
% 6.23/6.43 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(suc(X_215)))))],
% 6.23/6.43 [refute_0_113, refute_0_134])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_136, plain,
% 6.23/6.43 ('E'(s(s(0)), f(suc(suc(X_216)))) | 'LE'(f(X_216), s(s(0))) |
% 6.23/6.43 'LE'(f(suc(suc(X_216))), s(s(s(0))))),
% 6.23/6.43 inference(subst, [], [refute_0_135 : [bind(X_215, $fot(X_216))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_137, plain,
% 6.23/6.43 ('E'(s(s(0)), f(suc(suc(X_216)))) | 'LE'(f(X_216), s(s(0)))),
% 6.23/6.43 inference(resolve, [$cnf('LE'(f(suc(suc(X_216))), s(s(s(0)))))],
% 6.23/6.43 [refute_0_136, refute_0_109])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_138, plain,
% 6.23/6.43 ('E'(s(s(0)), f(suc(suc(X_217)))) | 'LE'(f(X_217), s(s(0)))),
% 6.23/6.43 inference(subst, [], [refute_0_137 : [bind(X_216, $fot(X_217))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_139, plain,
% 6.23/6.43 (~ 'E'(f(X_217), f(suc(X_217))) | ~ 'E'(s(s(0)), f(X_217)) |
% 6.23/6.43 ~ 'E'(s(s(0)), f(suc(X_217))) | 'LE'(f(X_217), s(s(0))) |
% 6.23/6.43 iLEQ(suc(X_217), suc(X_217))),
% 6.23/6.43 inference(resolve, [$cnf('E'(s(s(0)), f(suc(suc(X_217)))))],
% 6.23/6.43 [refute_0_138, refute_0_108])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_140, plain,
% 6.23/6.43 (~ 'E'(f(X_225), f(suc(X_225))) | ~ 'E'(s(s(0)), f(X_225)) |
% 6.23/6.43 ~ 'E'(s(s(0)), f(suc(X_225))) | 'LE'(f(X_225), s(s(0))) |
% 6.23/6.43 iLEQ(suc(X_225), suc(X_225))),
% 6.23/6.43 inference(subst, [], [refute_0_139 : [bind(X_217, $fot(X_225))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_141, plain,
% 6.23/6.43 (~ 'E'(f(X_225), f(suc(X_225))) | ~ 'E'(s(s(0)), f(X_225)) |
% 6.23/6.43 'LE'(f(X_225), s(s(0))) | iLEQ(suc(X_225), suc(X_225))),
% 6.23/6.43 inference(resolve, [$cnf('E'(s(s(0)), f(suc(X_225))))],
% 6.23/6.43 [refute_0_107, refute_0_140])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_142, plain,
% 6.23/6.43 (~ 'E'(f(X_226), f(suc(X_226))) | ~ 'E'(s(s(0)), f(X_226)) |
% 6.23/6.43 'LE'(f(X_226), s(s(0))) | iLEQ(suc(X_226), suc(X_226))),
% 6.23/6.43 inference(subst, [], [refute_0_141 : [bind(X_225, $fot(X_226))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_143, plain,
% 6.23/6.43 (~ 'E'(s(s(0)), f(X_226)) | 'E'(s(0), f(X_226)) |
% 6.23/6.43 'LE'(f(X_226), s(0)) | 'LE'(f(X_226), s(s(0))) |
% 6.23/6.43 iLEQ(suc(X_226), suc(X_226))),
% 6.23/6.43 inference(resolve, [$cnf('E'(f(X_226), f(suc(X_226))))],
% 6.23/6.43 [refute_0_106, refute_0_142])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_144, plain,
% 6.23/6.43 (~ 'E'(s(s(0)), f(X_256)) | 'E'(s(0), f(X_256)) |
% 6.23/6.43 'LE'(f(X_256), s(0)) | 'LE'(f(X_256), s(s(0))) |
% 6.23/6.43 iLEQ(suc(X_256), suc(X_256))),
% 6.23/6.43 inference(subst, [], [refute_0_143 : [bind(X_226, $fot(X_256))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_145, plain,
% 6.23/6.43 ('E'(s(0), f(X_256)) | 'LE'(f(X_256), s(0)) | 'LE'(f(X_256), s(s(0))) |
% 6.23/6.43 iLEQ(suc(X_256), suc(X_256))),
% 6.23/6.43 inference(resolve, [$cnf('E'(s(s(0)), f(X_256)))],
% 6.23/6.43 [refute_0_65, refute_0_144])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_146, plain,
% 6.23/6.43 ('E'(s(0), f(X_257)) | 'LE'(f(X_257), s(0)) | 'LE'(f(X_257), s(s(0))) |
% 6.23/6.43 iLEQ(suc(X_257), suc(X_257))),
% 6.23/6.43 inference(subst, [], [refute_0_145 : [bind(X_256, $fot(X_257))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_147, plain,
% 6.23/6.43 ('E'(s(0), f(X_257)) | 'LE'(f(X_257), s(0)) |
% 6.23/6.43 iLEQ(suc(X_257), suc(X_257))),
% 6.23/6.43 inference(resolve, [$cnf('LE'(f(X_257), s(s(0))))],
% 6.23/6.43 [refute_0_146, refute_0_2])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_148, plain,
% 6.23/6.43 ('E'(s(0), f(X_266)) | 'LE'(f(X_266), s(0)) |
% 6.23/6.43 iLEQ(suc(X_266), suc(X_266))),
% 6.23/6.43 inference(subst, [], [refute_0_147 : [bind(X_257, $fot(X_266))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_149, plain,
% 6.23/6.43 (~ 'LE'(f(X_259), s(s(0))) | 'E'(s(0), f(X_259)) |
% 6.23/6.43 'LE'(f(X_259), s(0))),
% 6.23/6.43 inference(subst, [], [clause_15 : [bind(B_13, $fot(X_259))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_150, plain,
% 6.23/6.43 ('E'(s(0), f(X_134)) | 'E'(s(s(0)), f(X_134)) | 'LE'(f(X_134), s(0))),
% 6.23/6.43 inference(subst, [], [refute_0_64 : [bind(X_91, $fot(X_134))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_151, plain,
% 6.23/6.43 (~ 'E'(s(s(0)), f(X_133)) | ~ 'E'(s(s(0)), f(suc(X_133))) |
% 6.23/6.43 ~ iLEQ(suc(X_133), suc(X_133)) | 'E'(f(X_133), f(suc(X_133)))),
% 6.23/6.43 inference(subst, [],
% 6.23/6.43 [clause_38 :
% 6.23/6.43 [bind(A_2, $fot(X_133)), bind(B_10, $fot(X_133))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_152, plain,
% 6.23/6.43 (~ 'E'(s(s(0)), f(X_133)) | ~ iLEQ(suc(X_133), suc(X_133)) |
% 6.23/6.43 'E'(f(X_133), f(suc(X_133))) | 'LE'(f(X_133), s(s(0)))),
% 6.23/6.43 inference(resolve, [$cnf('E'(s(s(0)), f(suc(X_133))))],
% 6.23/6.43 [refute_0_100, refute_0_151])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_153, plain,
% 6.23/6.43 (~ 'E'(s(s(0)), f(X_134)) | ~ iLEQ(suc(X_134), suc(X_134)) |
% 6.23/6.43 'E'(f(X_134), f(suc(X_134))) | 'LE'(f(X_134), s(s(0)))),
% 6.23/6.43 inference(subst, [], [refute_0_152 : [bind(X_133, $fot(X_134))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_154, plain,
% 6.23/6.43 (~ iLEQ(suc(X_134), suc(X_134)) | 'E'(f(X_134), f(suc(X_134))) |
% 6.23/6.43 'E'(s(0), f(X_134)) | 'LE'(f(X_134), s(0)) | 'LE'(f(X_134), s(s(0)))),
% 6.23/6.43 inference(resolve, [$cnf('E'(s(s(0)), f(X_134)))],
% 6.23/6.43 [refute_0_150, refute_0_153])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_155, plain,
% 6.23/6.43 (~ iLEQ(suc(X_257), suc(X_257)) | 'E'(f(X_257), f(suc(X_257))) |
% 6.23/6.43 'E'(s(0), f(X_257)) | 'LE'(f(X_257), s(0)) | 'LE'(f(X_257), s(s(0)))),
% 6.23/6.43 inference(subst, [], [refute_0_154 : [bind(X_134, $fot(X_257))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_156, plain,
% 6.23/6.43 ('E'(f(X_257), f(suc(X_257))) | 'E'(s(0), f(X_257)) |
% 6.23/6.43 'LE'(f(X_257), s(0)) | 'LE'(f(X_257), s(s(0)))),
% 6.23/6.43 inference(resolve, [$cnf(iLEQ(suc(X_257), suc(X_257)))],
% 6.23/6.43 [refute_0_146, refute_0_155])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_157, plain,
% 6.23/6.43 ('E'(f(X_259), f(suc(X_259))) | 'E'(s(0), f(X_259)) |
% 6.23/6.43 'LE'(f(X_259), s(0)) | 'LE'(f(X_259), s(s(0)))),
% 6.23/6.43 inference(subst, [], [refute_0_156 : [bind(X_257, $fot(X_259))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_158, plain,
% 6.23/6.43 ('E'(f(X_259), f(suc(X_259))) | 'E'(s(0), f(X_259)) |
% 6.23/6.43 'LE'(f(X_259), s(0))),
% 6.23/6.43 inference(resolve, [$cnf('LE'(f(X_259), s(s(0))))],
% 6.23/6.43 [refute_0_157, refute_0_149])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_159, plain,
% 6.23/6.43 ('E'(f(X_265), f(suc(X_265))) | 'E'(s(0), f(X_265)) |
% 6.23/6.43 'LE'(f(X_265), s(0))),
% 6.23/6.43 inference(subst, [], [refute_0_158 : [bind(X_259, $fot(X_265))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_160, plain,
% 6.23/6.43 ('E'(s(0), f(X_230)) | 'E'(s(s(0)), f(X_230)) | 'LE'(f(X_230), s(0))),
% 6.23/6.43 inference(subst, [], [refute_0_64 : [bind(X_91, $fot(X_230))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_161, plain,
% 6.23/6.43 ('E'(s(s(0)), f(suc(X_229))) | 'LE'(f(X_229), s(s(0)))),
% 6.23/6.43 inference(subst, [], [refute_0_99 : [bind(X_132, $fot(X_229))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_162, plain,
% 6.23/6.43 (~ 'E'(f(X_217), f(suc(X_217))) | ~ 'E'(s(s(0)), f(X_217)) |
% 6.23/6.43 ~ 'E'(s(s(0)), f(suc(X_217))) | ~ 'E'(s(s(0)), f(suc(suc(X_217)))) |
% 6.23/6.43 ~ iLEQ(suc(X_217), suc(X_217))),
% 6.23/6.43 inference(subst, [],
% 6.23/6.43 [clause_24 :
% 6.23/6.43 [bind(A_2, $fot(X_217)), bind(B_10, $fot(X_217))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_163, plain,
% 6.23/6.43 (~ 'E'(f(X_217), f(suc(X_217))) | ~ 'E'(s(s(0)), f(X_217)) |
% 6.23/6.43 ~ 'E'(s(s(0)), f(suc(X_217))) | ~ iLEQ(suc(X_217), suc(X_217)) |
% 6.23/6.43 'LE'(f(X_217), s(s(0)))),
% 6.23/6.43 inference(resolve, [$cnf('E'(s(s(0)), f(suc(suc(X_217)))))],
% 6.23/6.43 [refute_0_138, refute_0_162])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_164, plain,
% 6.23/6.43 (~ 'E'(f(X_229), f(suc(X_229))) | ~ 'E'(s(s(0)), f(X_229)) |
% 6.23/6.43 ~ 'E'(s(s(0)), f(suc(X_229))) | ~ iLEQ(suc(X_229), suc(X_229)) |
% 6.23/6.43 'LE'(f(X_229), s(s(0)))),
% 6.23/6.43 inference(subst, [], [refute_0_163 : [bind(X_217, $fot(X_229))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_165, plain,
% 6.23/6.43 (~ 'E'(f(X_229), f(suc(X_229))) | ~ 'E'(s(s(0)), f(X_229)) |
% 6.23/6.43 ~ iLEQ(suc(X_229), suc(X_229)) | 'LE'(f(X_229), s(s(0)))),
% 6.23/6.43 inference(resolve, [$cnf('E'(s(s(0)), f(suc(X_229))))],
% 6.23/6.43 [refute_0_161, refute_0_164])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_166, plain,
% 6.23/6.43 (~ 'E'(f(X_230), f(suc(X_230))) | ~ 'E'(s(s(0)), f(X_230)) |
% 6.23/6.43 ~ iLEQ(suc(X_230), suc(X_230)) | 'LE'(f(X_230), s(s(0)))),
% 6.23/6.43 inference(subst, [], [refute_0_165 : [bind(X_229, $fot(X_230))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_167, plain,
% 6.23/6.43 (~ 'E'(f(X_230), f(suc(X_230))) | ~ iLEQ(suc(X_230), suc(X_230)) |
% 6.23/6.43 'E'(s(0), f(X_230)) | 'LE'(f(X_230), s(0)) | 'LE'(f(X_230), s(s(0)))),
% 6.23/6.43 inference(resolve, [$cnf('E'(s(s(0)), f(X_230)))],
% 6.23/6.43 [refute_0_160, refute_0_166])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_168, plain,
% 6.23/6.43 (~ 'E'(f(X_265), f(suc(X_265))) | ~ iLEQ(suc(X_265), suc(X_265)) |
% 6.23/6.43 'E'(s(0), f(X_265)) | 'LE'(f(X_265), s(0)) | 'LE'(f(X_265), s(s(0)))),
% 6.23/6.43 inference(subst, [], [refute_0_167 : [bind(X_230, $fot(X_265))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_169, plain,
% 6.23/6.43 (~ iLEQ(suc(X_265), suc(X_265)) | 'E'(s(0), f(X_265)) |
% 6.23/6.43 'LE'(f(X_265), s(0)) | 'LE'(f(X_265), s(s(0)))),
% 6.23/6.43 inference(resolve, [$cnf('E'(f(X_265), f(suc(X_265))))],
% 6.23/6.43 [refute_0_159, refute_0_168])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_170, plain,
% 6.23/6.43 (~ iLEQ(suc(X_266), suc(X_266)) | 'E'(s(0), f(X_266)) |
% 6.23/6.43 'LE'(f(X_266), s(0)) | 'LE'(f(X_266), s(s(0)))),
% 6.23/6.43 inference(subst, [], [refute_0_169 : [bind(X_265, $fot(X_266))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_171, plain,
% 6.23/6.43 ('E'(s(0), f(X_266)) | 'LE'(f(X_266), s(0)) | 'LE'(f(X_266), s(s(0)))),
% 6.23/6.43 inference(resolve, [$cnf(iLEQ(suc(X_266), suc(X_266)))],
% 6.23/6.43 [refute_0_148, refute_0_170])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_172, plain,
% 6.23/6.43 ('E'(s(0), f(X_267)) | 'LE'(f(X_267), s(0)) | 'LE'(f(X_267), s(s(0)))),
% 6.23/6.43 inference(subst, [], [refute_0_171 : [bind(X_266, $fot(X_267))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_173, plain, ('E'(s(0), f(X_267)) | 'LE'(f(X_267), s(0))),
% 6.23/6.43 inference(resolve, [$cnf('LE'(f(X_267), s(s(0))))],
% 6.23/6.43 [refute_0_172, refute_0_1])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_174, plain,
% 6.23/6.43 ('E'(s(0), f(suc(B_16))) | 'LE'(f(suc(B_16)), s(0))),
% 6.23/6.43 inference(subst, [], [refute_0_173 : [bind(X_267, $fot(suc(B_16)))]])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_175, plain,
% 6.23/6.43 ('E'(0, f(suc(B_16))) | 'E'(s(0), f(suc(B_16))) | 'LE'(f(B_16), 0)),
% 6.23/6.43 inference(resolve, [$cnf('LE'(f(suc(B_16)), s(0)))],
% 6.23/6.43 [refute_0_174, clause_2])).
% 6.23/6.43
% 6.23/6.43 cnf(refute_0_176, plain,
% 6.23/6.43 ('E'(0, f(suc(X_684))) | 'E'(s(0), f(suc(X_684))) | 'LE'(f(X_684), 0)),
% 6.23/6.43 inference(subst, [], [refute_0_175 : [bind(B_16, $fot(X_684))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_177, plain,
% 6.23/6.44 ('E'(0, f(suc(X_566))) | 'E'(s(0), f(suc(X_566))) | 'LE'(f(X_566), 0)),
% 6.23/6.44 inference(subst, [], [refute_0_175 : [bind(B_16, $fot(X_566))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_178, plain,
% 6.23/6.44 (~ 'E'(f(X_373), f(suc(X_373))) | ~ 'E'(s(0), f(X_373)) |
% 6.23/6.44 ~ 'E'(s(0), f(suc(X_373))) | ~ 'E'(s(0), f(suc(suc(X_373)))) |
% 6.23/6.44 iLEQ(suc(X_373), suc(X_373))),
% 6.23/6.44 inference(subst, [], [clause_31 : [bind(A_3, $fot(X_373))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_179, plain,
% 6.23/6.44 (~ 'LE'(f(suc(suc(X_372))), s(s(0))) | 'E'(s(0), f(suc(suc(X_372)))) |
% 6.23/6.44 'LE'(f(X_372), s(0))),
% 6.23/6.44 inference(subst, [], [clause_49 : [bind(B_13, $fot(X_372))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_180, plain,
% 6.23/6.44 ('E'(s(s(0)), f(suc(suc(B_13)))) | 'LE'(f(suc(suc(B_13))), s(s(0)))),
% 6.23/6.44 inference(subst, [],
% 6.23/6.44 [refute_0_62 : [bind(X_90, $fot(suc(suc(B_13))))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_181, plain,
% 6.23/6.44 ('E'(s(0), f(suc(suc(B_13)))) | 'E'(s(s(0)), f(suc(suc(B_13)))) |
% 6.23/6.44 'LE'(f(B_13), s(0))),
% 6.23/6.44 inference(resolve, [$cnf('LE'(f(suc(suc(B_13))), s(s(0))))],
% 6.23/6.44 [refute_0_180, clause_49])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_182, plain,
% 6.23/6.44 ('E'(s(0), f(suc(suc(X_371)))) | 'E'(s(s(0)), f(suc(suc(X_371)))) |
% 6.23/6.44 'LE'(f(X_371), s(0))),
% 6.23/6.44 inference(subst, [], [refute_0_181 : [bind(B_13, $fot(X_371))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_183, plain,
% 6.23/6.44 ('E'(s(0), f(suc(suc(X_340)))) | 'E'(s(s(0)), f(suc(suc(X_340)))) |
% 6.23/6.44 'LE'(f(X_340), s(0))),
% 6.23/6.44 inference(subst, [], [refute_0_181 : [bind(B_13, $fot(X_340))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_184, plain,
% 6.23/6.44 (~ 'E'(f(suc(suc(X_313))), f(suc(suc(suc(X_313))))) |
% 6.23/6.44 ~ 'E'(s(s(0)), f(suc(suc(X_313)))) |
% 6.23/6.44 'LE'(f(suc(suc(X_313))), s(s(0))) |
% 6.23/6.44 iLEQ(suc(suc(suc(X_313))), suc(suc(suc(X_313))))),
% 6.23/6.44 inference(subst, [],
% 6.23/6.44 [refute_0_141 : [bind(X_225, $fot(suc(suc(X_313))))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_185, plain,
% 6.23/6.44 (~ 'E'(s(s(0)), f(suc(suc(B_13)))) |
% 6.23/6.44 'E'(f(suc(suc(B_13))), f(suc(suc(suc(B_13))))) |
% 6.23/6.44 'LE'(f(suc(suc(B_13))), s(s(0))) |
% 6.23/6.44 iLEQ(suc(suc(suc(B_13))), suc(suc(suc(B_13))))),
% 6.23/6.44 inference(subst, [],
% 6.23/6.44 [refute_0_101 : [bind(X_133, $fot(suc(suc(B_13))))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_186, plain,
% 6.23/6.44 ('E'(f(suc(suc(B_13))), f(suc(suc(suc(B_13))))) |
% 6.23/6.44 'E'(s(0), f(suc(suc(B_13)))) | 'LE'(f(B_13), s(0)) |
% 6.23/6.44 'LE'(f(suc(suc(B_13))), s(s(0))) |
% 6.23/6.44 iLEQ(suc(suc(suc(B_13))), suc(suc(suc(B_13))))),
% 6.23/6.44 inference(resolve, [$cnf('E'(s(s(0)), f(suc(suc(B_13)))))],
% 6.23/6.44 [refute_0_181, refute_0_185])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_187, plain,
% 6.23/6.44 ('E'(f(suc(suc(X_313))), f(suc(suc(suc(X_313))))) |
% 6.23/6.44 'E'(s(0), f(suc(suc(X_313)))) | 'LE'(f(X_313), s(0)) |
% 6.23/6.44 'LE'(f(suc(suc(X_313))), s(s(0))) |
% 6.23/6.44 iLEQ(suc(suc(suc(X_313))), suc(suc(suc(X_313))))),
% 6.23/6.44 inference(subst, [], [refute_0_186 : [bind(B_13, $fot(X_313))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_188, plain,
% 6.23/6.44 (~ 'E'(s(s(0)), f(suc(suc(X_313)))) | 'E'(s(0), f(suc(suc(X_313)))) |
% 6.23/6.44 'LE'(f(X_313), s(0)) | 'LE'(f(suc(suc(X_313))), s(s(0))) |
% 6.23/6.44 iLEQ(suc(suc(suc(X_313))), suc(suc(suc(X_313))))),
% 6.23/6.44 inference(resolve,
% 6.23/6.44 [$cnf('E'(f(suc(suc(X_313))), f(suc(suc(suc(X_313))))))],
% 6.23/6.44 [refute_0_187, refute_0_184])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_189, plain,
% 6.23/6.44 (~ 'E'(s(s(0)), f(suc(suc(X_340)))) | 'E'(s(0), f(suc(suc(X_340)))) |
% 6.23/6.44 'LE'(f(X_340), s(0)) | 'LE'(f(suc(suc(X_340))), s(s(0))) |
% 6.23/6.44 iLEQ(suc(suc(suc(X_340))), suc(suc(suc(X_340))))),
% 6.23/6.44 inference(subst, [], [refute_0_188 : [bind(X_313, $fot(X_340))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_190, plain,
% 6.23/6.44 ('E'(s(0), f(suc(suc(X_340)))) | 'LE'(f(X_340), s(0)) |
% 6.23/6.44 'LE'(f(suc(suc(X_340))), s(s(0))) |
% 6.23/6.44 iLEQ(suc(suc(suc(X_340))), suc(suc(suc(X_340))))),
% 6.23/6.44 inference(resolve, [$cnf('E'(s(s(0)), f(suc(suc(X_340)))))],
% 6.23/6.44 [refute_0_183, refute_0_189])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_191, plain,
% 6.23/6.44 ('E'(s(0), f(suc(suc(X_370)))) | 'LE'(f(X_370), s(0)) |
% 6.23/6.44 'LE'(f(suc(suc(X_370))), s(s(0))) |
% 6.23/6.44 iLEQ(suc(suc(suc(X_370))), suc(suc(suc(X_370))))),
% 6.23/6.44 inference(subst, [], [refute_0_190 : [bind(X_340, $fot(X_370))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_192, plain,
% 6.23/6.44 (~ 'E'(f(suc(suc(X_369))), f(suc(suc(suc(X_369))))) |
% 6.23/6.44 ~ 'E'(s(s(0)), f(suc(suc(X_369)))) |
% 6.23/6.44 ~ iLEQ(suc(suc(suc(X_369))), suc(suc(suc(X_369)))) |
% 6.23/6.44 'LE'(f(suc(suc(X_369))), s(s(0)))),
% 6.23/6.44 inference(subst, [],
% 6.23/6.44 [refute_0_165 : [bind(X_229, $fot(suc(suc(X_369))))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_193, plain,
% 6.23/6.44 ('E'(s(0), f(suc(suc(X_368)))) | 'E'(s(s(0)), f(suc(suc(X_368)))) |
% 6.23/6.44 'LE'(f(X_368), s(0))),
% 6.23/6.44 inference(subst, [], [refute_0_181 : [bind(B_13, $fot(X_368))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_194, plain,
% 6.23/6.44 ('E'(s(s(0)), f(suc(suc(suc(X_367))))) |
% 6.23/6.44 'LE'(f(suc(suc(X_367))), s(s(0)))),
% 6.23/6.44 inference(subst, [],
% 6.23/6.44 [refute_0_99 : [bind(X_132, $fot(suc(suc(X_367))))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_195, plain,
% 6.23/6.44 ('E'(s(s(0)), f(suc(X_161))) | 'LE'(f(X_161), s(s(0)))),
% 6.23/6.44 inference(subst, [], [refute_0_99 : [bind(X_132, $fot(X_161))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_196, plain,
% 6.23/6.44 (~ 'E'(s(s(0)), f(X_161)) | ~ 'E'(s(s(0)), f(X_162)) |
% 6.23/6.44 ~ 'E'(s(s(0)), f(suc(X_161))) | ~ 'E'(s(s(0)), f(suc(X_162))) |
% 6.23/6.44 ~ iLEQ(suc(X_161), suc(X_162)) | 'E'(f(X_161), f(suc(X_161))) |
% 6.23/6.44 'E'(f(X_162), f(suc(X_162)))),
% 6.23/6.44 inference(subst, [],
% 6.23/6.44 [clause_38 :
% 6.23/6.44 [bind(A_2, $fot(X_161)), bind(B_10, $fot(X_162))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_197, plain,
% 6.23/6.44 (~ 'E'(s(s(0)), f(X_161)) | ~ 'E'(s(s(0)), f(X_162)) |
% 6.23/6.44 ~ 'E'(s(s(0)), f(suc(X_162))) | ~ iLEQ(suc(X_161), suc(X_162)) |
% 6.23/6.44 'E'(f(X_161), f(suc(X_161))) | 'E'(f(X_162), f(suc(X_162))) |
% 6.23/6.44 'LE'(f(X_161), s(s(0)))),
% 6.23/6.44 inference(resolve, [$cnf('E'(s(s(0)), f(suc(X_161))))],
% 6.23/6.44 [refute_0_195, refute_0_196])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_198, plain,
% 6.23/6.44 (~ 'E'(s(s(0)), f(suc(suc(X_340)))) |
% 6.23/6.44 ~ 'E'(s(s(0)), f(suc(suc(suc(X_340))))) |
% 6.23/6.44 ~ iLEQ(suc(suc(suc(X_340))), suc(suc(suc(X_340)))) |
% 6.23/6.44 'E'(f(suc(suc(X_340))), f(suc(suc(suc(X_340))))) |
% 6.23/6.44 'LE'(f(suc(suc(X_340))), s(s(0)))),
% 6.23/6.44 inference(subst, [],
% 6.23/6.44 [refute_0_197 :
% 6.23/6.44 [bind(X_161, $fot(suc(suc(X_340)))),
% 6.23/6.44 bind(X_162, $fot(suc(suc(X_340))))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_199, plain,
% 6.23/6.44 (~ 'E'(s(s(0)), f(suc(suc(X_340)))) |
% 6.23/6.44 ~ 'E'(s(s(0)), f(suc(suc(suc(X_340))))) |
% 6.23/6.44 'E'(f(suc(suc(X_340))), f(suc(suc(suc(X_340))))) |
% 6.23/6.44 'E'(s(0), f(suc(suc(X_340)))) | 'LE'(f(X_340), s(0)) |
% 6.23/6.44 'LE'(f(suc(suc(X_340))), s(s(0)))),
% 6.23/6.44 inference(resolve,
% 6.23/6.44 [$cnf(iLEQ(suc(suc(suc(X_340))), suc(suc(suc(X_340)))))],
% 6.23/6.44 [refute_0_190, refute_0_198])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_200, plain,
% 6.23/6.44 (~ 'E'(s(s(0)), f(suc(suc(X_367)))) |
% 6.23/6.44 ~ 'E'(s(s(0)), f(suc(suc(suc(X_367))))) |
% 6.23/6.44 'E'(f(suc(suc(X_367))), f(suc(suc(suc(X_367))))) |
% 6.23/6.44 'E'(s(0), f(suc(suc(X_367)))) | 'LE'(f(X_367), s(0)) |
% 6.23/6.44 'LE'(f(suc(suc(X_367))), s(s(0)))),
% 6.23/6.44 inference(subst, [], [refute_0_199 : [bind(X_340, $fot(X_367))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_201, plain,
% 6.23/6.44 (~ 'E'(s(s(0)), f(suc(suc(X_367)))) |
% 6.23/6.44 'E'(f(suc(suc(X_367))), f(suc(suc(suc(X_367))))) |
% 6.23/6.44 'E'(s(0), f(suc(suc(X_367)))) | 'LE'(f(X_367), s(0)) |
% 6.23/6.44 'LE'(f(suc(suc(X_367))), s(s(0)))),
% 6.23/6.44 inference(resolve, [$cnf('E'(s(s(0)), f(suc(suc(suc(X_367))))))],
% 6.23/6.44 [refute_0_194, refute_0_200])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_202, plain,
% 6.23/6.44 (~ 'E'(s(s(0)), f(suc(suc(X_368)))) |
% 6.23/6.44 'E'(f(suc(suc(X_368))), f(suc(suc(suc(X_368))))) |
% 6.23/6.44 'E'(s(0), f(suc(suc(X_368)))) | 'LE'(f(X_368), s(0)) |
% 6.23/6.44 'LE'(f(suc(suc(X_368))), s(s(0)))),
% 6.23/6.44 inference(subst, [], [refute_0_201 : [bind(X_367, $fot(X_368))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_203, plain,
% 6.23/6.44 ('E'(f(suc(suc(X_368))), f(suc(suc(suc(X_368))))) |
% 6.23/6.44 'E'(s(0), f(suc(suc(X_368)))) | 'LE'(f(X_368), s(0)) |
% 6.23/6.44 'LE'(f(suc(suc(X_368))), s(s(0)))),
% 6.23/6.44 inference(resolve, [$cnf('E'(s(s(0)), f(suc(suc(X_368)))))],
% 6.23/6.44 [refute_0_193, refute_0_202])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_204, plain,
% 6.23/6.44 ('E'(f(suc(suc(X_369))), f(suc(suc(suc(X_369))))) |
% 6.23/6.44 'E'(s(0), f(suc(suc(X_369)))) | 'LE'(f(X_369), s(0)) |
% 6.23/6.44 'LE'(f(suc(suc(X_369))), s(s(0)))),
% 6.23/6.44 inference(subst, [], [refute_0_203 : [bind(X_368, $fot(X_369))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_205, plain,
% 6.23/6.44 (~ 'E'(s(s(0)), f(suc(suc(X_369)))) |
% 6.23/6.44 ~ iLEQ(suc(suc(suc(X_369))), suc(suc(suc(X_369)))) |
% 6.23/6.44 'E'(s(0), f(suc(suc(X_369)))) | 'LE'(f(X_369), s(0)) |
% 6.23/6.44 'LE'(f(suc(suc(X_369))), s(s(0)))),
% 6.23/6.44 inference(resolve,
% 6.23/6.44 [$cnf('E'(f(suc(suc(X_369))), f(suc(suc(suc(X_369))))))],
% 6.23/6.44 [refute_0_204, refute_0_192])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_206, plain,
% 6.23/6.44 (~ 'E'(s(s(0)), f(suc(suc(X_370)))) |
% 6.23/6.44 ~ iLEQ(suc(suc(suc(X_370))), suc(suc(suc(X_370)))) |
% 6.23/6.44 'E'(s(0), f(suc(suc(X_370)))) | 'LE'(f(X_370), s(0)) |
% 6.23/6.44 'LE'(f(suc(suc(X_370))), s(s(0)))),
% 6.23/6.44 inference(subst, [], [refute_0_205 : [bind(X_369, $fot(X_370))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_207, plain,
% 6.23/6.44 (~ 'E'(s(s(0)), f(suc(suc(X_370)))) | 'E'(s(0), f(suc(suc(X_370)))) |
% 6.23/6.44 'LE'(f(X_370), s(0)) | 'LE'(f(suc(suc(X_370))), s(s(0)))),
% 6.23/6.44 inference(resolve,
% 6.23/6.44 [$cnf(iLEQ(suc(suc(suc(X_370))), suc(suc(suc(X_370)))))],
% 6.23/6.44 [refute_0_191, refute_0_206])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_208, plain,
% 6.23/6.44 (~ 'E'(s(s(0)), f(suc(suc(X_371)))) | 'E'(s(0), f(suc(suc(X_371)))) |
% 6.23/6.44 'LE'(f(X_371), s(0)) | 'LE'(f(suc(suc(X_371))), s(s(0)))),
% 6.23/6.44 inference(subst, [], [refute_0_207 : [bind(X_370, $fot(X_371))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_209, plain,
% 6.23/6.44 ('E'(s(0), f(suc(suc(X_371)))) | 'LE'(f(X_371), s(0)) |
% 6.23/6.44 'LE'(f(suc(suc(X_371))), s(s(0)))),
% 6.23/6.44 inference(resolve, [$cnf('E'(s(s(0)), f(suc(suc(X_371)))))],
% 6.23/6.44 [refute_0_182, refute_0_208])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_210, plain,
% 6.23/6.44 ('E'(s(0), f(suc(suc(X_372)))) | 'LE'(f(X_372), s(0)) |
% 6.23/6.44 'LE'(f(suc(suc(X_372))), s(s(0)))),
% 6.23/6.44 inference(subst, [], [refute_0_209 : [bind(X_371, $fot(X_372))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_211, plain,
% 6.23/6.44 ('E'(s(0), f(suc(suc(X_372)))) | 'LE'(f(X_372), s(0))),
% 6.23/6.44 inference(resolve, [$cnf('LE'(f(suc(suc(X_372))), s(s(0))))],
% 6.23/6.44 [refute_0_210, refute_0_179])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_212, plain,
% 6.23/6.44 ('E'(s(0), f(suc(suc(X_373)))) | 'LE'(f(X_373), s(0))),
% 6.23/6.44 inference(subst, [], [refute_0_211 : [bind(X_372, $fot(X_373))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_213, plain,
% 6.23/6.44 (~ 'E'(f(X_373), f(suc(X_373))) | ~ 'E'(s(0), f(X_373)) |
% 6.23/6.44 ~ 'E'(s(0), f(suc(X_373))) | 'LE'(f(X_373), s(0)) |
% 6.23/6.44 iLEQ(suc(X_373), suc(X_373))),
% 6.23/6.44 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_373)))))],
% 6.23/6.44 [refute_0_212, refute_0_178])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_214, plain,
% 6.23/6.44 (~ 'E'(f(X_457), f(suc(X_457))) | ~ 'E'(s(0), f(X_457)) |
% 6.23/6.44 ~ 'E'(s(0), f(suc(X_457))) | 'LE'(f(X_457), s(0)) |
% 6.23/6.44 iLEQ(suc(X_457), suc(X_457))),
% 6.23/6.44 inference(subst, [], [refute_0_213 : [bind(X_373, $fot(X_457))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_215, plain,
% 6.23/6.44 (~ 'LE'(f(suc(X_456)), s(s(0))) | 'E'(s(0), f(suc(X_456))) |
% 6.23/6.44 'LE'(f(X_456), s(0))),
% 6.23/6.44 inference(subst, [], [clause_39 : [bind(B_13, $fot(X_456))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_216, plain,
% 6.23/6.44 ('E'(s(s(0)), f(suc(B_13))) | 'LE'(f(suc(B_13)), s(s(0)))),
% 6.23/6.44 inference(subst, [], [refute_0_62 : [bind(X_90, $fot(suc(B_13)))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_217, plain,
% 6.23/6.44 ('E'(s(0), f(suc(B_13))) | 'E'(s(s(0)), f(suc(B_13))) |
% 6.23/6.44 'LE'(f(B_13), s(0))),
% 6.23/6.44 inference(resolve, [$cnf('LE'(f(suc(B_13)), s(s(0))))],
% 6.23/6.44 [refute_0_216, clause_39])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_218, plain,
% 6.23/6.44 ('E'(s(0), f(suc(X_455))) | 'E'(s(s(0)), f(suc(X_455))) |
% 6.23/6.44 'LE'(f(X_455), s(0))),
% 6.23/6.44 inference(subst, [], [refute_0_217 : [bind(B_13, $fot(X_455))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_219, plain,
% 6.23/6.44 ('E'(s(0), f(suc(X_329))) | 'E'(s(s(0)), f(suc(X_329))) |
% 6.23/6.44 'LE'(f(X_329), s(0))),
% 6.23/6.44 inference(subst, [], [refute_0_217 : [bind(B_13, $fot(X_329))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_220, plain,
% 6.23/6.44 (~ 'E'(s(s(0)), f(suc(B_13))) | 'E'(f(suc(B_13)), f(suc(suc(B_13)))) |
% 6.23/6.44 'LE'(f(suc(B_13)), s(s(0))) | iLEQ(suc(suc(B_13)), suc(suc(B_13)))),
% 6.23/6.44 inference(subst, [], [refute_0_101 : [bind(X_133, $fot(suc(B_13)))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_221, plain,
% 6.23/6.44 ('E'(f(suc(B_13)), f(suc(suc(B_13)))) | 'E'(s(0), f(suc(B_13))) |
% 6.23/6.44 'LE'(f(B_13), s(0)) | 'LE'(f(suc(B_13)), s(s(0))) |
% 6.23/6.44 iLEQ(suc(suc(B_13)), suc(suc(B_13)))),
% 6.23/6.44 inference(resolve, [$cnf('E'(s(s(0)), f(suc(B_13))))],
% 6.23/6.44 [refute_0_217, refute_0_220])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_222, plain,
% 6.23/6.44 (~ 'E'(f(suc(B_13)), f(suc(suc(B_13)))) |
% 6.23/6.44 ~ 'E'(s(s(0)), f(suc(B_13))) | 'LE'(f(suc(B_13)), s(s(0))) |
% 6.23/6.44 iLEQ(suc(suc(B_13)), suc(suc(B_13)))),
% 6.23/6.44 inference(subst, [], [refute_0_141 : [bind(X_225, $fot(suc(B_13)))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_223, plain,
% 6.23/6.44 (~ 'E'(s(s(0)), f(suc(B_13))) | 'E'(s(0), f(suc(B_13))) |
% 6.23/6.44 'LE'(f(B_13), s(0)) | 'LE'(f(suc(B_13)), s(s(0))) |
% 6.23/6.44 iLEQ(suc(suc(B_13)), suc(suc(B_13)))),
% 6.23/6.44 inference(resolve, [$cnf('E'(f(suc(B_13)), f(suc(suc(B_13)))))],
% 6.23/6.44 [refute_0_221, refute_0_222])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_224, plain,
% 6.23/6.44 (~ 'E'(s(s(0)), f(suc(X_329))) | 'E'(s(0), f(suc(X_329))) |
% 6.23/6.44 'LE'(f(X_329), s(0)) | 'LE'(f(suc(X_329)), s(s(0))) |
% 6.23/6.44 iLEQ(suc(suc(X_329)), suc(suc(X_329)))),
% 6.23/6.44 inference(subst, [], [refute_0_223 : [bind(B_13, $fot(X_329))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_225, plain,
% 6.23/6.44 ('E'(s(0), f(suc(X_329))) | 'LE'(f(X_329), s(0)) |
% 6.23/6.44 'LE'(f(suc(X_329)), s(s(0))) |
% 6.23/6.44 iLEQ(suc(suc(X_329)), suc(suc(X_329)))),
% 6.23/6.44 inference(resolve, [$cnf('E'(s(s(0)), f(suc(X_329))))],
% 6.23/6.44 [refute_0_219, refute_0_224])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_226, plain,
% 6.23/6.44 ('E'(s(0), f(suc(X_454))) | 'LE'(f(X_454), s(0)) |
% 6.23/6.44 'LE'(f(suc(X_454)), s(s(0))) |
% 6.23/6.44 iLEQ(suc(suc(X_454)), suc(suc(X_454)))),
% 6.23/6.44 inference(subst, [], [refute_0_225 : [bind(X_329, $fot(X_454))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_227, plain,
% 6.23/6.44 (~ 'E'(f(suc(X_364)), f(suc(suc(X_364)))) |
% 6.23/6.44 ~ 'E'(s(s(0)), f(suc(X_364))) |
% 6.23/6.44 ~ iLEQ(suc(suc(X_364)), suc(suc(X_364))) |
% 6.23/6.44 'LE'(f(suc(X_364)), s(s(0)))),
% 6.23/6.44 inference(subst, [],
% 6.23/6.44 [refute_0_165 : [bind(X_229, $fot(suc(X_364)))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_228, plain,
% 6.23/6.44 ('E'(s(0), f(suc(X_363))) | 'E'(s(s(0)), f(suc(X_363))) |
% 6.23/6.44 'LE'(f(X_363), s(0))),
% 6.23/6.44 inference(subst, [], [refute_0_217 : [bind(B_13, $fot(X_363))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_229, plain,
% 6.23/6.44 (~ 'E'(s(s(0)), f(suc(X_330))) |
% 6.23/6.44 ~ iLEQ(suc(suc(X_330)), suc(suc(X_330))) |
% 6.23/6.44 'E'(f(suc(X_330)), f(suc(suc(X_330)))) |
% 6.23/6.44 'LE'(f(suc(X_330)), s(s(0)))),
% 6.23/6.44 inference(subst, [],
% 6.23/6.44 [refute_0_152 : [bind(X_133, $fot(suc(X_330)))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_230, plain,
% 6.23/6.44 ('E'(s(0), f(suc(X_330))) | 'LE'(f(X_330), s(0)) |
% 6.23/6.44 'LE'(f(suc(X_330)), s(s(0))) |
% 6.23/6.44 iLEQ(suc(suc(X_330)), suc(suc(X_330)))),
% 6.23/6.44 inference(subst, [], [refute_0_225 : [bind(X_329, $fot(X_330))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_231, plain,
% 6.23/6.44 (~ 'E'(s(s(0)), f(suc(X_330))) |
% 6.23/6.44 'E'(f(suc(X_330)), f(suc(suc(X_330)))) | 'E'(s(0), f(suc(X_330))) |
% 6.23/6.44 'LE'(f(X_330), s(0)) | 'LE'(f(suc(X_330)), s(s(0)))),
% 6.23/6.44 inference(resolve, [$cnf(iLEQ(suc(suc(X_330)), suc(suc(X_330))))],
% 6.23/6.44 [refute_0_230, refute_0_229])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_232, plain,
% 6.23/6.44 (~ 'E'(s(s(0)), f(suc(X_363))) |
% 6.23/6.44 'E'(f(suc(X_363)), f(suc(suc(X_363)))) | 'E'(s(0), f(suc(X_363))) |
% 6.23/6.44 'LE'(f(X_363), s(0)) | 'LE'(f(suc(X_363)), s(s(0)))),
% 6.23/6.44 inference(subst, [], [refute_0_231 : [bind(X_330, $fot(X_363))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_233, plain,
% 6.23/6.44 ('E'(f(suc(X_363)), f(suc(suc(X_363)))) | 'E'(s(0), f(suc(X_363))) |
% 6.23/6.44 'LE'(f(X_363), s(0)) | 'LE'(f(suc(X_363)), s(s(0)))),
% 6.23/6.44 inference(resolve, [$cnf('E'(s(s(0)), f(suc(X_363))))],
% 6.23/6.44 [refute_0_228, refute_0_232])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_234, plain,
% 6.23/6.44 ('E'(f(suc(X_364)), f(suc(suc(X_364)))) | 'E'(s(0), f(suc(X_364))) |
% 6.23/6.44 'LE'(f(X_364), s(0)) | 'LE'(f(suc(X_364)), s(s(0)))),
% 6.23/6.44 inference(subst, [], [refute_0_233 : [bind(X_363, $fot(X_364))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_235, plain,
% 6.23/6.44 (~ 'E'(s(s(0)), f(suc(X_364))) |
% 6.23/6.44 ~ iLEQ(suc(suc(X_364)), suc(suc(X_364))) | 'E'(s(0), f(suc(X_364))) |
% 6.23/6.44 'LE'(f(X_364), s(0)) | 'LE'(f(suc(X_364)), s(s(0)))),
% 6.23/6.44 inference(resolve, [$cnf('E'(f(suc(X_364)), f(suc(suc(X_364)))))],
% 6.23/6.44 [refute_0_234, refute_0_227])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_236, plain,
% 6.23/6.44 (~ 'E'(s(s(0)), f(suc(X_454))) |
% 6.23/6.44 ~ iLEQ(suc(suc(X_454)), suc(suc(X_454))) | 'E'(s(0), f(suc(X_454))) |
% 6.23/6.44 'LE'(f(X_454), s(0)) | 'LE'(f(suc(X_454)), s(s(0)))),
% 6.23/6.44 inference(subst, [], [refute_0_235 : [bind(X_364, $fot(X_454))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_237, plain,
% 6.23/6.44 (~ 'E'(s(s(0)), f(suc(X_454))) | 'E'(s(0), f(suc(X_454))) |
% 6.23/6.44 'LE'(f(X_454), s(0)) | 'LE'(f(suc(X_454)), s(s(0)))),
% 6.23/6.44 inference(resolve, [$cnf(iLEQ(suc(suc(X_454)), suc(suc(X_454))))],
% 6.23/6.44 [refute_0_226, refute_0_236])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_238, plain,
% 6.23/6.44 (~ 'E'(s(s(0)), f(suc(X_455))) | 'E'(s(0), f(suc(X_455))) |
% 6.23/6.44 'LE'(f(X_455), s(0)) | 'LE'(f(suc(X_455)), s(s(0)))),
% 6.23/6.44 inference(subst, [], [refute_0_237 : [bind(X_454, $fot(X_455))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_239, plain,
% 6.23/6.44 ('E'(s(0), f(suc(X_455))) | 'LE'(f(X_455), s(0)) |
% 6.23/6.44 'LE'(f(suc(X_455)), s(s(0)))),
% 6.23/6.44 inference(resolve, [$cnf('E'(s(s(0)), f(suc(X_455))))],
% 6.23/6.44 [refute_0_218, refute_0_238])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_240, plain,
% 6.23/6.44 ('E'(s(0), f(suc(X_456))) | 'LE'(f(X_456), s(0)) |
% 6.23/6.44 'LE'(f(suc(X_456)), s(s(0)))),
% 6.23/6.44 inference(subst, [], [refute_0_239 : [bind(X_455, $fot(X_456))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_241, plain, ('E'(s(0), f(suc(X_456))) | 'LE'(f(X_456), s(0))),
% 6.23/6.44 inference(resolve, [$cnf('LE'(f(suc(X_456)), s(s(0))))],
% 6.23/6.44 [refute_0_240, refute_0_215])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_242, plain, ('E'(s(0), f(suc(X_457))) | 'LE'(f(X_457), s(0))),
% 6.23/6.44 inference(subst, [], [refute_0_241 : [bind(X_456, $fot(X_457))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_243, plain,
% 6.23/6.44 (~ 'E'(f(X_457), f(suc(X_457))) | ~ 'E'(s(0), f(X_457)) |
% 6.23/6.44 'LE'(f(X_457), s(0)) | iLEQ(suc(X_457), suc(X_457))),
% 6.23/6.44 inference(resolve, [$cnf('E'(s(0), f(suc(X_457))))],
% 6.23/6.44 [refute_0_242, refute_0_214])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_244, plain,
% 6.23/6.44 (~ 'E'(f(suc(X_562)), f(suc(suc(X_562)))) |
% 6.23/6.44 ~ 'E'(s(0), f(suc(X_562))) | 'LE'(f(suc(X_562)), s(0)) |
% 6.23/6.44 iLEQ(suc(suc(X_562)), suc(suc(X_562)))),
% 6.23/6.44 inference(subst, [],
% 6.23/6.44 [refute_0_243 : [bind(X_457, $fot(suc(X_562)))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_245, plain,
% 6.23/6.44 (~ 'E'(s(0), f(X_457)) | ~ 'E'(s(0), f(suc(X_457))) |
% 6.23/6.44 'E'(f(X_457), f(suc(X_457))) | iLEQ(suc(X_457), suc(X_457))),
% 6.23/6.44 inference(subst, [], [clause_115 : [bind(A_3, $fot(X_457))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_246, plain,
% 6.23/6.44 (~ 'E'(s(0), f(X_457)) | 'E'(f(X_457), f(suc(X_457))) |
% 6.23/6.44 'LE'(f(X_457), s(0)) | iLEQ(suc(X_457), suc(X_457))),
% 6.23/6.44 inference(resolve, [$cnf('E'(s(0), f(suc(X_457))))],
% 6.23/6.44 [refute_0_242, refute_0_245])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_247, plain,
% 6.23/6.44 (~ 'E'(s(0), f(suc(B_16))) | 'E'(f(suc(B_16)), f(suc(suc(B_16)))) |
% 6.23/6.44 'LE'(f(suc(B_16)), s(0)) | iLEQ(suc(suc(B_16)), suc(suc(B_16)))),
% 6.23/6.44 inference(subst, [], [refute_0_246 : [bind(X_457, $fot(suc(B_16)))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_248, plain,
% 6.23/6.44 ('E'(0, f(suc(B_16))) | 'E'(f(suc(B_16)), f(suc(suc(B_16)))) |
% 6.23/6.44 'LE'(f(B_16), 0) | 'LE'(f(suc(B_16)), s(0)) |
% 6.23/6.44 iLEQ(suc(suc(B_16)), suc(suc(B_16)))),
% 6.23/6.44 inference(resolve, [$cnf('E'(s(0), f(suc(B_16))))],
% 6.23/6.44 [refute_0_175, refute_0_247])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_249, plain,
% 6.23/6.44 ('E'(0, f(suc(X_562))) | 'E'(f(suc(X_562)), f(suc(suc(X_562)))) |
% 6.23/6.44 'LE'(f(X_562), 0) | 'LE'(f(suc(X_562)), s(0)) |
% 6.23/6.44 iLEQ(suc(suc(X_562)), suc(suc(X_562)))),
% 6.23/6.44 inference(subst, [], [refute_0_248 : [bind(B_16, $fot(X_562))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_250, plain,
% 6.23/6.44 (~ 'E'(s(0), f(suc(X_562))) | 'E'(0, f(suc(X_562))) |
% 6.23/6.44 'LE'(f(X_562), 0) | 'LE'(f(suc(X_562)), s(0)) |
% 6.23/6.44 iLEQ(suc(suc(X_562)), suc(suc(X_562)))),
% 6.23/6.44 inference(resolve, [$cnf('E'(f(suc(X_562)), f(suc(suc(X_562)))))],
% 6.23/6.44 [refute_0_249, refute_0_244])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_251, plain,
% 6.23/6.44 (~ 'E'(s(0), f(suc(X_566))) | 'E'(0, f(suc(X_566))) |
% 6.23/6.44 'LE'(f(X_566), 0) | 'LE'(f(suc(X_566)), s(0)) |
% 6.23/6.44 iLEQ(suc(suc(X_566)), suc(suc(X_566)))),
% 6.23/6.44 inference(subst, [], [refute_0_250 : [bind(X_562, $fot(X_566))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_252, plain,
% 6.23/6.44 ('E'(0, f(suc(X_566))) | 'LE'(f(X_566), 0) |
% 6.23/6.44 'LE'(f(suc(X_566)), s(0)) | iLEQ(suc(suc(X_566)), suc(suc(X_566)))),
% 6.23/6.44 inference(resolve, [$cnf('E'(s(0), f(suc(X_566))))],
% 6.23/6.44 [refute_0_177, refute_0_251])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_253, plain,
% 6.23/6.44 ('E'(0, f(suc(X_683))) | 'LE'(f(X_683), 0) |
% 6.23/6.44 'LE'(f(suc(X_683)), s(0)) | iLEQ(suc(suc(X_683)), suc(suc(X_683)))),
% 6.23/6.44 inference(subst, [], [refute_0_252 : [bind(X_566, $fot(X_683))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_254, plain,
% 6.23/6.44 (~ 'E'(f(X_373), f(suc(X_373))) | ~ 'E'(s(0), f(X_373)) |
% 6.23/6.44 ~ 'E'(s(0), f(suc(X_373))) | ~ 'E'(s(0), f(suc(suc(X_373)))) |
% 6.23/6.44 ~ iLEQ(suc(X_373), suc(X_373))),
% 6.23/6.44 inference(subst, [],
% 6.23/6.44 [clause_57 :
% 6.23/6.44 [bind(A_3, $fot(X_373)), bind(B_14, $fot(X_373))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_255, plain,
% 6.23/6.44 (~ 'E'(f(X_373), f(suc(X_373))) | ~ 'E'(s(0), f(X_373)) |
% 6.23/6.44 ~ 'E'(s(0), f(suc(X_373))) | ~ iLEQ(suc(X_373), suc(X_373)) |
% 6.23/6.44 'LE'(f(X_373), s(0))),
% 6.23/6.44 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_373)))))],
% 6.23/6.44 [refute_0_212, refute_0_254])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_256, plain,
% 6.23/6.44 (~ 'E'(f(X_457), f(suc(X_457))) | ~ 'E'(s(0), f(X_457)) |
% 6.23/6.44 ~ 'E'(s(0), f(suc(X_457))) | ~ iLEQ(suc(X_457), suc(X_457)) |
% 6.23/6.44 'LE'(f(X_457), s(0))),
% 6.23/6.44 inference(subst, [], [refute_0_255 : [bind(X_373, $fot(X_457))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_257, plain,
% 6.23/6.44 (~ 'E'(f(X_457), f(suc(X_457))) | ~ 'E'(s(0), f(X_457)) |
% 6.23/6.44 ~ iLEQ(suc(X_457), suc(X_457)) | 'LE'(f(X_457), s(0))),
% 6.23/6.44 inference(resolve, [$cnf('E'(s(0), f(suc(X_457))))],
% 6.23/6.44 [refute_0_242, refute_0_256])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_258, plain,
% 6.23/6.44 (~ 'E'(f(suc(X_613)), f(suc(suc(X_613)))) |
% 6.23/6.44 ~ 'E'(s(0), f(suc(X_613))) |
% 6.23/6.44 ~ iLEQ(suc(suc(X_613)), suc(suc(X_613))) | 'LE'(f(suc(X_613)), s(0))),
% 6.23/6.44 inference(subst, [],
% 6.23/6.44 [refute_0_257 : [bind(X_457, $fot(suc(X_613)))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_259, plain,
% 6.23/6.44 ('E'(0, f(suc(X_612))) | 'E'(s(0), f(suc(X_612))) | 'LE'(f(X_612), 0)),
% 6.23/6.44 inference(subst, [], [refute_0_175 : [bind(B_16, $fot(X_612))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_260, plain,
% 6.23/6.44 (~ 'E'(s(0), f(X_457)) | ~ 'E'(s(0), f(suc(X_457))) |
% 6.23/6.44 ~ iLEQ(suc(X_457), suc(X_457)) | 'E'(f(X_457), f(suc(X_457)))),
% 6.23/6.44 inference(subst, [],
% 6.23/6.44 [clause_112 :
% 6.23/6.44 [bind(A_3, $fot(X_457)), bind(B_14, $fot(X_457))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_261, plain,
% 6.23/6.44 (~ 'E'(s(0), f(X_457)) | ~ iLEQ(suc(X_457), suc(X_457)) |
% 6.23/6.44 'E'(f(X_457), f(suc(X_457))) | 'LE'(f(X_457), s(0))),
% 6.23/6.44 inference(resolve, [$cnf('E'(s(0), f(suc(X_457))))],
% 6.23/6.44 [refute_0_242, refute_0_260])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_262, plain,
% 6.23/6.44 (~ 'E'(s(0), f(suc(X_567))) |
% 6.23/6.44 ~ iLEQ(suc(suc(X_567)), suc(suc(X_567))) |
% 6.23/6.44 'E'(f(suc(X_567)), f(suc(suc(X_567)))) | 'LE'(f(suc(X_567)), s(0))),
% 6.23/6.44 inference(subst, [],
% 6.23/6.44 [refute_0_261 : [bind(X_457, $fot(suc(X_567)))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_263, plain,
% 6.23/6.44 ('E'(0, f(suc(X_567))) | 'LE'(f(X_567), 0) |
% 6.23/6.44 'LE'(f(suc(X_567)), s(0)) | iLEQ(suc(suc(X_567)), suc(suc(X_567)))),
% 6.23/6.44 inference(subst, [], [refute_0_252 : [bind(X_566, $fot(X_567))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_264, plain,
% 6.23/6.44 (~ 'E'(s(0), f(suc(X_567))) | 'E'(0, f(suc(X_567))) |
% 6.23/6.44 'E'(f(suc(X_567)), f(suc(suc(X_567)))) | 'LE'(f(X_567), 0) |
% 6.23/6.44 'LE'(f(suc(X_567)), s(0))),
% 6.23/6.44 inference(resolve, [$cnf(iLEQ(suc(suc(X_567)), suc(suc(X_567))))],
% 6.23/6.44 [refute_0_263, refute_0_262])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_265, plain,
% 6.23/6.44 (~ 'E'(s(0), f(suc(X_612))) | 'E'(0, f(suc(X_612))) |
% 6.23/6.44 'E'(f(suc(X_612)), f(suc(suc(X_612)))) | 'LE'(f(X_612), 0) |
% 6.23/6.44 'LE'(f(suc(X_612)), s(0))),
% 6.23/6.44 inference(subst, [], [refute_0_264 : [bind(X_567, $fot(X_612))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_266, plain,
% 6.23/6.44 ('E'(0, f(suc(X_612))) | 'E'(f(suc(X_612)), f(suc(suc(X_612)))) |
% 6.23/6.44 'LE'(f(X_612), 0) | 'LE'(f(suc(X_612)), s(0))),
% 6.23/6.44 inference(resolve, [$cnf('E'(s(0), f(suc(X_612))))],
% 6.23/6.44 [refute_0_259, refute_0_265])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_267, plain,
% 6.23/6.44 ('E'(0, f(suc(X_613))) | 'E'(f(suc(X_613)), f(suc(suc(X_613)))) |
% 6.23/6.44 'LE'(f(X_613), 0) | 'LE'(f(suc(X_613)), s(0))),
% 6.23/6.44 inference(subst, [], [refute_0_266 : [bind(X_612, $fot(X_613))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_268, plain,
% 6.23/6.44 (~ 'E'(s(0), f(suc(X_613))) |
% 6.23/6.44 ~ iLEQ(suc(suc(X_613)), suc(suc(X_613))) | 'E'(0, f(suc(X_613))) |
% 6.23/6.44 'LE'(f(X_613), 0) | 'LE'(f(suc(X_613)), s(0))),
% 6.23/6.44 inference(resolve, [$cnf('E'(f(suc(X_613)), f(suc(suc(X_613)))))],
% 6.23/6.44 [refute_0_267, refute_0_258])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_269, plain,
% 6.23/6.44 (~ 'E'(s(0), f(suc(X_683))) |
% 6.23/6.44 ~ iLEQ(suc(suc(X_683)), suc(suc(X_683))) | 'E'(0, f(suc(X_683))) |
% 6.23/6.44 'LE'(f(X_683), 0) | 'LE'(f(suc(X_683)), s(0))),
% 6.23/6.44 inference(subst, [], [refute_0_268 : [bind(X_613, $fot(X_683))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_270, plain,
% 6.23/6.44 (~ 'E'(s(0), f(suc(X_683))) | 'E'(0, f(suc(X_683))) |
% 6.23/6.44 'LE'(f(X_683), 0) | 'LE'(f(suc(X_683)), s(0))),
% 6.23/6.44 inference(resolve, [$cnf(iLEQ(suc(suc(X_683)), suc(suc(X_683))))],
% 6.23/6.44 [refute_0_253, refute_0_269])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_271, plain,
% 6.23/6.44 (~ 'E'(s(0), f(suc(X_684))) | 'E'(0, f(suc(X_684))) |
% 6.23/6.44 'LE'(f(X_684), 0) | 'LE'(f(suc(X_684)), s(0))),
% 6.23/6.44 inference(subst, [], [refute_0_270 : [bind(X_683, $fot(X_684))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_272, plain,
% 6.23/6.44 ('E'(0, f(suc(X_684))) | 'LE'(f(X_684), 0) |
% 6.23/6.44 'LE'(f(suc(X_684)), s(0))),
% 6.23/6.44 inference(resolve, [$cnf('E'(s(0), f(suc(X_684))))],
% 6.23/6.44 [refute_0_176, refute_0_271])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_273, plain,
% 6.23/6.44 ('E'(0, f(suc(X_685))) | 'LE'(f(X_685), 0) |
% 6.23/6.44 'LE'(f(suc(X_685)), s(0))),
% 6.23/6.44 inference(subst, [], [refute_0_272 : [bind(X_684, $fot(X_685))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_274, plain, ('E'(0, f(suc(X_685))) | 'LE'(f(X_685), 0)),
% 6.23/6.44 inference(resolve, [$cnf('LE'(f(suc(X_685)), s(0)))],
% 6.23/6.44 [refute_0_273, refute_0_0])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_275, plain, ('E'(0, f(suc(z))) | 'LE'(f(z), 0)),
% 6.23/6.44 inference(subst, [], [refute_0_274 : [bind(X_685, $fot(z))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_276, plain,
% 6.23/6.44 (~ 'LE'(f(suc(suc(X_775))), s(0)) | 'E'(0, f(suc(suc(X_775)))) |
% 6.23/6.44 'LE'(f(X_775), 0)),
% 6.23/6.44 inference(subst, [], [clause_27 : [bind(B_16, $fot(X_775))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_277, plain,
% 6.23/6.44 ('E'(s(0), f(suc(suc(B_16)))) | 'LE'(f(suc(suc(B_16))), s(0))),
% 6.23/6.44 inference(subst, [],
% 6.23/6.44 [refute_0_173 : [bind(X_267, $fot(suc(suc(B_16))))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_278, plain,
% 6.23/6.44 ('E'(0, f(suc(suc(B_16)))) | 'E'(s(0), f(suc(suc(B_16)))) |
% 6.23/6.44 'LE'(f(B_16), 0)),
% 6.23/6.44 inference(resolve, [$cnf('LE'(f(suc(suc(B_16))), s(0)))],
% 6.23/6.44 [refute_0_277, clause_27])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_279, plain,
% 6.23/6.44 ('E'(0, f(suc(suc(X_774)))) | 'E'(s(0), f(suc(suc(X_774)))) |
% 6.23/6.44 'LE'(f(X_774), 0)),
% 6.23/6.44 inference(subst, [], [refute_0_278 : [bind(B_16, $fot(X_774))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_280, plain,
% 6.23/6.44 ('E'(0, f(suc(suc(X_690)))) | 'E'(s(0), f(suc(suc(X_690)))) |
% 6.23/6.44 'LE'(f(X_690), 0)),
% 6.23/6.44 inference(subst, [], [refute_0_278 : [bind(B_16, $fot(X_690))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_281, plain,
% 6.23/6.44 (~ 'E'(f(suc(suc(X_689))), f(suc(suc(suc(X_689))))) |
% 6.23/6.44 ~ 'E'(s(0), f(suc(suc(X_689)))) | 'LE'(f(suc(suc(X_689))), s(0)) |
% 6.23/6.44 iLEQ(suc(suc(suc(X_689))), suc(suc(suc(X_689))))),
% 6.23/6.44 inference(subst, [],
% 6.23/6.44 [refute_0_243 : [bind(X_457, $fot(suc(suc(X_689))))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_282, plain,
% 6.23/6.44 (~ 'E'(s(0), f(suc(suc(B_16)))) |
% 6.23/6.44 'E'(f(suc(suc(B_16))), f(suc(suc(suc(B_16))))) |
% 6.23/6.44 'LE'(f(suc(suc(B_16))), s(0)) |
% 6.23/6.44 iLEQ(suc(suc(suc(B_16))), suc(suc(suc(B_16))))),
% 6.23/6.44 inference(subst, [],
% 6.23/6.44 [refute_0_246 : [bind(X_457, $fot(suc(suc(B_16))))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_283, plain,
% 6.23/6.44 ('E'(0, f(suc(suc(B_16)))) |
% 6.23/6.44 'E'(f(suc(suc(B_16))), f(suc(suc(suc(B_16))))) | 'LE'(f(B_16), 0) |
% 6.23/6.44 'LE'(f(suc(suc(B_16))), s(0)) |
% 6.23/6.44 iLEQ(suc(suc(suc(B_16))), suc(suc(suc(B_16))))),
% 6.23/6.44 inference(resolve, [$cnf('E'(s(0), f(suc(suc(B_16)))))],
% 6.23/6.44 [refute_0_278, refute_0_282])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_284, plain,
% 6.23/6.44 ('E'(0, f(suc(suc(X_689)))) |
% 6.23/6.44 'E'(f(suc(suc(X_689))), f(suc(suc(suc(X_689))))) | 'LE'(f(X_689), 0) |
% 6.23/6.44 'LE'(f(suc(suc(X_689))), s(0)) |
% 6.23/6.44 iLEQ(suc(suc(suc(X_689))), suc(suc(suc(X_689))))),
% 6.23/6.44 inference(subst, [], [refute_0_283 : [bind(B_16, $fot(X_689))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_285, plain,
% 6.23/6.44 (~ 'E'(s(0), f(suc(suc(X_689)))) | 'E'(0, f(suc(suc(X_689)))) |
% 6.23/6.44 'LE'(f(X_689), 0) | 'LE'(f(suc(suc(X_689))), s(0)) |
% 6.23/6.44 iLEQ(suc(suc(suc(X_689))), suc(suc(suc(X_689))))),
% 6.23/6.44 inference(resolve,
% 6.23/6.44 [$cnf('E'(f(suc(suc(X_689))), f(suc(suc(suc(X_689))))))],
% 6.23/6.44 [refute_0_284, refute_0_281])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_286, plain,
% 6.23/6.44 (~ 'E'(s(0), f(suc(suc(X_690)))) | 'E'(0, f(suc(suc(X_690)))) |
% 6.23/6.44 'LE'(f(X_690), 0) | 'LE'(f(suc(suc(X_690))), s(0)) |
% 6.23/6.44 iLEQ(suc(suc(suc(X_690))), suc(suc(suc(X_690))))),
% 6.23/6.44 inference(subst, [], [refute_0_285 : [bind(X_689, $fot(X_690))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_287, plain,
% 6.23/6.44 ('E'(0, f(suc(suc(X_690)))) | 'LE'(f(X_690), 0) |
% 6.23/6.44 'LE'(f(suc(suc(X_690))), s(0)) |
% 6.23/6.44 iLEQ(suc(suc(suc(X_690))), suc(suc(suc(X_690))))),
% 6.23/6.44 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_690)))))],
% 6.23/6.44 [refute_0_280, refute_0_286])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_288, plain,
% 6.23/6.44 ('E'(0, f(suc(suc(X_773)))) | 'LE'(f(X_773), 0) |
% 6.23/6.44 'LE'(f(suc(suc(X_773))), s(0)) |
% 6.23/6.44 iLEQ(suc(suc(suc(X_773))), suc(suc(suc(X_773))))),
% 6.23/6.44 inference(subst, [], [refute_0_287 : [bind(X_690, $fot(X_773))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_289, plain,
% 6.23/6.44 (~ 'E'(f(suc(suc(X_729))), f(suc(suc(suc(X_729))))) |
% 6.23/6.44 ~ 'E'(s(0), f(suc(suc(X_729)))) |
% 6.23/6.44 ~ iLEQ(suc(suc(suc(X_729))), suc(suc(suc(X_729)))) |
% 6.23/6.44 'LE'(f(suc(suc(X_729))), s(0))),
% 6.23/6.44 inference(subst, [],
% 6.23/6.44 [refute_0_257 : [bind(X_457, $fot(suc(suc(X_729))))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_290, plain,
% 6.23/6.44 ('E'(0, f(suc(suc(X_728)))) | 'E'(s(0), f(suc(suc(X_728)))) |
% 6.23/6.44 'LE'(f(X_728), 0)),
% 6.23/6.44 inference(subst, [], [refute_0_278 : [bind(B_16, $fot(X_728))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_291, plain,
% 6.23/6.44 (~ 'E'(s(0), f(suc(suc(X_691)))) |
% 6.23/6.44 ~ iLEQ(suc(suc(suc(X_691))), suc(suc(suc(X_691)))) |
% 6.23/6.44 'E'(f(suc(suc(X_691))), f(suc(suc(suc(X_691))))) |
% 6.23/6.44 'LE'(f(suc(suc(X_691))), s(0))),
% 6.23/6.44 inference(subst, [],
% 6.23/6.44 [refute_0_261 : [bind(X_457, $fot(suc(suc(X_691))))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_292, plain,
% 6.23/6.44 ('E'(0, f(suc(suc(X_691)))) | 'LE'(f(X_691), 0) |
% 6.23/6.44 'LE'(f(suc(suc(X_691))), s(0)) |
% 6.23/6.44 iLEQ(suc(suc(suc(X_691))), suc(suc(suc(X_691))))),
% 6.23/6.44 inference(subst, [], [refute_0_287 : [bind(X_690, $fot(X_691))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_293, plain,
% 6.23/6.44 (~ 'E'(s(0), f(suc(suc(X_691)))) | 'E'(0, f(suc(suc(X_691)))) |
% 6.23/6.44 'E'(f(suc(suc(X_691))), f(suc(suc(suc(X_691))))) | 'LE'(f(X_691), 0) |
% 6.23/6.44 'LE'(f(suc(suc(X_691))), s(0))),
% 6.23/6.44 inference(resolve,
% 6.23/6.44 [$cnf(iLEQ(suc(suc(suc(X_691))), suc(suc(suc(X_691)))))],
% 6.23/6.44 [refute_0_292, refute_0_291])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_294, plain,
% 6.23/6.44 (~ 'E'(s(0), f(suc(suc(X_728)))) | 'E'(0, f(suc(suc(X_728)))) |
% 6.23/6.44 'E'(f(suc(suc(X_728))), f(suc(suc(suc(X_728))))) | 'LE'(f(X_728), 0) |
% 6.23/6.44 'LE'(f(suc(suc(X_728))), s(0))),
% 6.23/6.44 inference(subst, [], [refute_0_293 : [bind(X_691, $fot(X_728))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_295, plain,
% 6.23/6.44 ('E'(0, f(suc(suc(X_728)))) |
% 6.23/6.44 'E'(f(suc(suc(X_728))), f(suc(suc(suc(X_728))))) | 'LE'(f(X_728), 0) |
% 6.23/6.44 'LE'(f(suc(suc(X_728))), s(0))),
% 6.23/6.44 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_728)))))],
% 6.23/6.44 [refute_0_290, refute_0_294])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_296, plain,
% 6.23/6.44 ('E'(0, f(suc(suc(X_729)))) |
% 6.23/6.44 'E'(f(suc(suc(X_729))), f(suc(suc(suc(X_729))))) | 'LE'(f(X_729), 0) |
% 6.23/6.44 'LE'(f(suc(suc(X_729))), s(0))),
% 6.23/6.44 inference(subst, [], [refute_0_295 : [bind(X_728, $fot(X_729))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_297, plain,
% 6.23/6.44 (~ 'E'(s(0), f(suc(suc(X_729)))) |
% 6.23/6.44 ~ iLEQ(suc(suc(suc(X_729))), suc(suc(suc(X_729)))) |
% 6.23/6.44 'E'(0, f(suc(suc(X_729)))) | 'LE'(f(X_729), 0) |
% 6.23/6.44 'LE'(f(suc(suc(X_729))), s(0))),
% 6.23/6.44 inference(resolve,
% 6.23/6.44 [$cnf('E'(f(suc(suc(X_729))), f(suc(suc(suc(X_729))))))],
% 6.23/6.44 [refute_0_296, refute_0_289])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_298, plain,
% 6.23/6.44 (~ 'E'(s(0), f(suc(suc(X_773)))) |
% 6.23/6.44 ~ iLEQ(suc(suc(suc(X_773))), suc(suc(suc(X_773)))) |
% 6.23/6.44 'E'(0, f(suc(suc(X_773)))) | 'LE'(f(X_773), 0) |
% 6.23/6.44 'LE'(f(suc(suc(X_773))), s(0))),
% 6.23/6.44 inference(subst, [], [refute_0_297 : [bind(X_729, $fot(X_773))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_299, plain,
% 6.23/6.44 (~ 'E'(s(0), f(suc(suc(X_773)))) | 'E'(0, f(suc(suc(X_773)))) |
% 6.23/6.44 'LE'(f(X_773), 0) | 'LE'(f(suc(suc(X_773))), s(0))),
% 6.23/6.44 inference(resolve,
% 6.23/6.44 [$cnf(iLEQ(suc(suc(suc(X_773))), suc(suc(suc(X_773)))))],
% 6.23/6.44 [refute_0_288, refute_0_298])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_300, plain,
% 6.23/6.44 (~ 'E'(s(0), f(suc(suc(X_774)))) | 'E'(0, f(suc(suc(X_774)))) |
% 6.23/6.44 'LE'(f(X_774), 0) | 'LE'(f(suc(suc(X_774))), s(0))),
% 6.23/6.44 inference(subst, [], [refute_0_299 : [bind(X_773, $fot(X_774))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_301, plain,
% 6.23/6.44 ('E'(0, f(suc(suc(X_774)))) | 'LE'(f(X_774), 0) |
% 6.23/6.44 'LE'(f(suc(suc(X_774))), s(0))),
% 6.23/6.44 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_774)))))],
% 6.23/6.44 [refute_0_279, refute_0_300])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_302, plain,
% 6.23/6.44 ('E'(0, f(suc(suc(X_775)))) | 'LE'(f(X_775), 0) |
% 6.23/6.44 'LE'(f(suc(suc(X_775))), s(0))),
% 6.23/6.44 inference(subst, [], [refute_0_301 : [bind(X_774, $fot(X_775))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_303, plain, ('E'(0, f(suc(suc(X_775)))) | 'LE'(f(X_775), 0)),
% 6.23/6.44 inference(resolve, [$cnf('LE'(f(suc(suc(X_775))), s(0)))],
% 6.23/6.44 [refute_0_302, refute_0_276])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_304, plain, ('E'(0, f(suc(suc(z)))) | 'LE'(f(z), 0)),
% 6.23/6.44 inference(subst, [], [refute_0_303 : [bind(X_775, $fot(z))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_305, plain,
% 6.23/6.44 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 6.23/6.44 ~ 'E'(f(z), f(suc(z))) | ~ iLEQ(suc(z), suc(z))),
% 6.23/6.44 inference(subst, [],
% 6.23/6.44 [clause_48 : [bind(A_4, $fot(z)), bind(B_17, $fot(z))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_306, plain,
% 6.23/6.44 (~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) | ~ iLEQ(suc(z), suc(z)) |
% 6.23/6.44 'E'(f(z), f(suc(z)))),
% 6.23/6.44 inference(subst, [],
% 6.23/6.44 [clause_0 : [bind(A_4, $fot(z)), bind(B_17, $fot(z))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_307, plain,
% 6.23/6.44 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 6.23/6.44 ~ 'E'(f(z), f(suc(z))) | iLEQ(suc(z), suc(z))),
% 6.23/6.44 inference(subst, [], [clause_114 : [bind(A_4, $fot(z))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_308, plain,
% 6.23/6.44 (~ 'LE'(f(X_548), s(0)) | 'E'(0, f(X_548)) | 'LE'(f(X_548), 0)),
% 6.23/6.44 inference(subst, [], [clause_145 : [bind(B_16, $fot(X_548))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_309, plain,
% 6.23/6.44 (~ 'LE'(f(X_268), s(0)) | 'E'(0, f(X_268)) | 'LE'(f(X_268), 0)),
% 6.23/6.44 inference(subst, [], [clause_145 : [bind(B_16, $fot(X_268))]])).
% 6.23/6.44
% 6.23/6.44 cnf(refute_0_310, plain, ('E'(s(0), f(X_268)) | 'LE'(f(X_268), s(0))),
% 6.23/6.44 inference(subst, [], [refute_0_173 : [bind(X_267, $fot(X_268))]])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_311, plain,
% 6.23/6.45 ('E'(0, f(X_268)) | 'E'(s(0), f(X_268)) | 'LE'(f(X_268), 0)),
% 6.23/6.45 inference(resolve, [$cnf('LE'(f(X_268), s(0)))],
% 6.23/6.45 [refute_0_310, refute_0_309])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_312, plain,
% 6.23/6.45 ('E'(0, f(X_547)) | 'E'(s(0), f(X_547)) | 'LE'(f(X_547), 0)),
% 6.23/6.45 inference(subst, [], [refute_0_311 : [bind(X_268, $fot(X_547))]])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_313, plain,
% 6.23/6.45 ('E'(0, f(X_484)) | 'E'(s(0), f(X_484)) | 'LE'(f(X_484), 0)),
% 6.23/6.45 inference(subst, [], [refute_0_311 : [bind(X_268, $fot(X_484))]])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_314, plain,
% 6.23/6.45 (~ 'E'(f(X_482), f(suc(X_482))) | ~ 'E'(s(0), f(X_482)) |
% 6.23/6.45 'LE'(f(X_482), s(0)) | iLEQ(suc(X_482), suc(X_482))),
% 6.23/6.45 inference(subst, [], [refute_0_243 : [bind(X_457, $fot(X_482))]])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_315, plain,
% 6.23/6.45 ('E'(0, f(X_460)) | 'E'(s(0), f(X_460)) | 'LE'(f(X_460), 0)),
% 6.23/6.45 inference(subst, [], [refute_0_311 : [bind(X_268, $fot(X_460))]])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_316, plain,
% 6.23/6.45 (~ 'E'(s(0), f(X_460)) | 'E'(f(X_460), f(suc(X_460))) |
% 6.23/6.45 'LE'(f(X_460), s(0)) | iLEQ(suc(X_460), suc(X_460))),
% 6.23/6.45 inference(subst, [], [refute_0_246 : [bind(X_457, $fot(X_460))]])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_317, plain,
% 6.23/6.45 ('E'(0, f(X_460)) | 'E'(f(X_460), f(suc(X_460))) | 'LE'(f(X_460), 0) |
% 6.23/6.45 'LE'(f(X_460), s(0)) | iLEQ(suc(X_460), suc(X_460))),
% 6.23/6.45 inference(resolve, [$cnf('E'(s(0), f(X_460)))],
% 6.23/6.45 [refute_0_315, refute_0_316])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_318, plain,
% 6.23/6.45 ('E'(0, f(X_482)) | 'E'(f(X_482), f(suc(X_482))) | 'LE'(f(X_482), 0) |
% 6.23/6.45 'LE'(f(X_482), s(0)) | iLEQ(suc(X_482), suc(X_482))),
% 6.23/6.45 inference(subst, [], [refute_0_317 : [bind(X_460, $fot(X_482))]])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_319, plain,
% 6.23/6.45 (~ 'E'(s(0), f(X_482)) | 'E'(0, f(X_482)) | 'LE'(f(X_482), 0) |
% 6.23/6.45 'LE'(f(X_482), s(0)) | iLEQ(suc(X_482), suc(X_482))),
% 6.23/6.45 inference(resolve, [$cnf('E'(f(X_482), f(suc(X_482))))],
% 6.23/6.45 [refute_0_318, refute_0_314])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_320, plain,
% 6.23/6.45 (~ 'E'(s(0), f(X_484)) | 'E'(0, f(X_484)) | 'LE'(f(X_484), 0) |
% 6.23/6.45 'LE'(f(X_484), s(0)) | iLEQ(suc(X_484), suc(X_484))),
% 6.23/6.45 inference(subst, [], [refute_0_319 : [bind(X_482, $fot(X_484))]])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_321, plain,
% 6.23/6.45 ('E'(0, f(X_484)) | 'LE'(f(X_484), 0) | 'LE'(f(X_484), s(0)) |
% 6.23/6.45 iLEQ(suc(X_484), suc(X_484))),
% 6.23/6.45 inference(resolve, [$cnf('E'(s(0), f(X_484)))],
% 6.23/6.45 [refute_0_313, refute_0_320])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_322, plain,
% 6.23/6.45 ('E'(0, f(X_546)) | 'LE'(f(X_546), 0) | 'LE'(f(X_546), s(0)) |
% 6.23/6.45 iLEQ(suc(X_546), suc(X_546))),
% 6.23/6.45 inference(subst, [], [refute_0_321 : [bind(X_484, $fot(X_546))]])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_323, plain,
% 6.23/6.45 (~ 'E'(f(X_526), f(suc(X_526))) | ~ 'E'(s(0), f(X_526)) |
% 6.23/6.45 ~ iLEQ(suc(X_526), suc(X_526)) | 'LE'(f(X_526), s(0))),
% 6.23/6.45 inference(subst, [], [refute_0_257 : [bind(X_457, $fot(X_526))]])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_324, plain,
% 6.23/6.45 ('E'(0, f(X_525)) | 'E'(s(0), f(X_525)) | 'LE'(f(X_525), 0)),
% 6.23/6.45 inference(subst, [], [refute_0_311 : [bind(X_268, $fot(X_525))]])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_325, plain,
% 6.23/6.45 (~ 'E'(s(0), f(X_485)) | ~ iLEQ(suc(X_485), suc(X_485)) |
% 6.23/6.45 'E'(f(X_485), f(suc(X_485))) | 'LE'(f(X_485), s(0))),
% 6.23/6.45 inference(subst, [], [refute_0_261 : [bind(X_457, $fot(X_485))]])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_326, plain,
% 6.23/6.45 ('E'(0, f(X_485)) | 'LE'(f(X_485), 0) | 'LE'(f(X_485), s(0)) |
% 6.23/6.45 iLEQ(suc(X_485), suc(X_485))),
% 6.23/6.45 inference(subst, [], [refute_0_321 : [bind(X_484, $fot(X_485))]])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_327, plain,
% 6.23/6.45 (~ 'E'(s(0), f(X_485)) | 'E'(0, f(X_485)) |
% 6.23/6.45 'E'(f(X_485), f(suc(X_485))) | 'LE'(f(X_485), 0) |
% 6.23/6.45 'LE'(f(X_485), s(0))),
% 6.23/6.45 inference(resolve, [$cnf(iLEQ(suc(X_485), suc(X_485)))],
% 6.23/6.45 [refute_0_326, refute_0_325])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_328, plain,
% 6.23/6.45 (~ 'E'(s(0), f(X_525)) | 'E'(0, f(X_525)) |
% 6.23/6.45 'E'(f(X_525), f(suc(X_525))) | 'LE'(f(X_525), 0) |
% 6.23/6.45 'LE'(f(X_525), s(0))),
% 6.23/6.45 inference(subst, [], [refute_0_327 : [bind(X_485, $fot(X_525))]])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_329, plain,
% 6.23/6.45 ('E'(0, f(X_525)) | 'E'(f(X_525), f(suc(X_525))) | 'LE'(f(X_525), 0) |
% 6.23/6.45 'LE'(f(X_525), s(0))),
% 6.23/6.45 inference(resolve, [$cnf('E'(s(0), f(X_525)))],
% 6.23/6.45 [refute_0_324, refute_0_328])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_330, plain,
% 6.23/6.45 ('E'(0, f(X_526)) | 'E'(f(X_526), f(suc(X_526))) | 'LE'(f(X_526), 0) |
% 6.23/6.45 'LE'(f(X_526), s(0))),
% 6.23/6.45 inference(subst, [], [refute_0_329 : [bind(X_525, $fot(X_526))]])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_331, plain,
% 6.23/6.45 (~ 'E'(s(0), f(X_526)) | ~ iLEQ(suc(X_526), suc(X_526)) |
% 6.23/6.45 'E'(0, f(X_526)) | 'LE'(f(X_526), 0) | 'LE'(f(X_526), s(0))),
% 6.23/6.45 inference(resolve, [$cnf('E'(f(X_526), f(suc(X_526))))],
% 6.23/6.45 [refute_0_330, refute_0_323])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_332, plain,
% 6.23/6.45 (~ 'E'(s(0), f(X_546)) | ~ iLEQ(suc(X_546), suc(X_546)) |
% 6.23/6.45 'E'(0, f(X_546)) | 'LE'(f(X_546), 0) | 'LE'(f(X_546), s(0))),
% 6.23/6.45 inference(subst, [], [refute_0_331 : [bind(X_526, $fot(X_546))]])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_333, plain,
% 6.23/6.45 (~ 'E'(s(0), f(X_546)) | 'E'(0, f(X_546)) | 'LE'(f(X_546), 0) |
% 6.23/6.45 'LE'(f(X_546), s(0))),
% 6.23/6.45 inference(resolve, [$cnf(iLEQ(suc(X_546), suc(X_546)))],
% 6.23/6.45 [refute_0_322, refute_0_332])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_334, plain,
% 6.23/6.45 (~ 'E'(s(0), f(X_547)) | 'E'(0, f(X_547)) | 'LE'(f(X_547), 0) |
% 6.23/6.45 'LE'(f(X_547), s(0))),
% 6.23/6.45 inference(subst, [], [refute_0_333 : [bind(X_546, $fot(X_547))]])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_335, plain,
% 6.23/6.45 ('E'(0, f(X_547)) | 'LE'(f(X_547), 0) | 'LE'(f(X_547), s(0))),
% 6.23/6.45 inference(resolve, [$cnf('E'(s(0), f(X_547)))],
% 6.23/6.45 [refute_0_312, refute_0_334])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_336, plain,
% 6.23/6.45 ('E'(0, f(X_548)) | 'LE'(f(X_548), 0) | 'LE'(f(X_548), s(0))),
% 6.23/6.45 inference(subst, [], [refute_0_335 : [bind(X_547, $fot(X_548))]])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_337, plain, ('E'(0, f(X_548)) | 'LE'(f(X_548), 0)),
% 6.23/6.45 inference(resolve, [$cnf('LE'(f(X_548), s(0)))],
% 6.23/6.45 [refute_0_336, refute_0_308])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_338, plain, ('E'(0, f(z)) | 'LE'(f(z), 0)),
% 6.23/6.45 inference(subst, [], [refute_0_337 : [bind(X_548, $fot(z))]])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_339, plain, ('E'(0, f(z))),
% 6.23/6.45 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_338, clause_77])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_340, plain,
% 6.23/6.45 (~ 'E'(0, f(X_686)) | ~ 'E'(0, f(suc(X_686))) |
% 6.23/6.45 'E'(f(X_686), f(suc(X_686))) | iLEQ(suc(X_686), suc(X_686))),
% 6.23/6.45 inference(subst, [], [clause_150 : [bind(A_4, $fot(X_686))]])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_341, plain, ('E'(0, f(suc(X_686))) | 'LE'(f(X_686), 0)),
% 6.23/6.45 inference(subst, [], [refute_0_274 : [bind(X_685, $fot(X_686))]])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_342, plain,
% 6.23/6.45 (~ 'E'(0, f(X_686)) | 'E'(f(X_686), f(suc(X_686))) |
% 6.23/6.45 'LE'(f(X_686), 0) | iLEQ(suc(X_686), suc(X_686))),
% 6.23/6.45 inference(resolve, [$cnf('E'(0, f(suc(X_686))))],
% 6.23/6.45 [refute_0_341, refute_0_340])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_343, plain,
% 6.23/6.45 (~ 'E'(0, f(z)) | 'E'(f(z), f(suc(z))) | 'LE'(f(z), 0) |
% 6.23/6.45 iLEQ(suc(z), suc(z))),
% 6.23/6.45 inference(subst, [], [refute_0_342 : [bind(X_686, $fot(z))]])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_344, plain,
% 6.23/6.45 ('E'(f(z), f(suc(z))) | 'LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 6.23/6.45 inference(resolve, [$cnf('E'(0, f(z)))],
% 6.23/6.45 [refute_0_339, refute_0_343])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_345, plain, ('E'(f(z), f(suc(z))) | iLEQ(suc(z), suc(z))),
% 6.23/6.45 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_344, clause_77])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_346, plain,
% 6.23/6.45 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 6.23/6.45 iLEQ(suc(z), suc(z))),
% 6.23/6.45 inference(resolve, [$cnf('E'(f(z), f(suc(z))))],
% 6.23/6.45 [refute_0_345, refute_0_307])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_347, plain,
% 6.23/6.45 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) |
% 6.23/6.45 iLEQ(suc(z), suc(z))),
% 6.23/6.45 inference(resolve, [$cnf('E'(0, f(z)))],
% 6.23/6.45 [refute_0_339, refute_0_346])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_348, plain,
% 6.23/6.45 (~ 'E'(0, f(suc(z))) | 'LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 6.23/6.45 inference(resolve, [$cnf('E'(0, f(suc(suc(z)))))],
% 6.23/6.45 [refute_0_304, refute_0_347])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_349, plain, (~ 'E'(0, f(suc(z))) | iLEQ(suc(z), suc(z))),
% 6.23/6.45 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_348, clause_77])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_350, plain, ('LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 6.23/6.45 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 6.23/6.45 [refute_0_275, refute_0_349])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_351, plain, (iLEQ(suc(z), suc(z))),
% 6.23/6.45 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_350, clause_77])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_352, plain,
% 6.23/6.45 (~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) | 'E'(f(z), f(suc(z)))),
% 6.23/6.45 inference(resolve, [$cnf(iLEQ(suc(z), suc(z)))],
% 6.23/6.45 [refute_0_351, refute_0_306])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_353, plain, (~ 'E'(0, f(suc(z))) | 'E'(f(z), f(suc(z)))),
% 6.23/6.45 inference(resolve, [$cnf('E'(0, f(z)))],
% 6.23/6.45 [refute_0_339, refute_0_352])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_354, plain, ('E'(f(z), f(suc(z))) | 'LE'(f(z), 0)),
% 6.23/6.45 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 6.23/6.45 [refute_0_275, refute_0_353])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_355, plain, ('E'(f(z), f(suc(z)))),
% 6.23/6.45 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_354, clause_77])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_356, plain,
% 6.23/6.45 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 6.23/6.45 ~ iLEQ(suc(z), suc(z))),
% 6.23/6.45 inference(resolve, [$cnf('E'(f(z), f(suc(z))))],
% 6.23/6.45 [refute_0_355, refute_0_305])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_357, plain,
% 6.23/6.45 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) |
% 6.23/6.45 ~ iLEQ(suc(z), suc(z))),
% 6.23/6.45 inference(resolve, [$cnf('E'(0, f(z)))],
% 6.23/6.45 [refute_0_339, refute_0_356])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_358, plain, (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z)))),
% 6.23/6.45 inference(resolve, [$cnf(iLEQ(suc(z), suc(z)))],
% 6.23/6.45 [refute_0_351, refute_0_357])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_359, plain, (~ 'E'(0, f(suc(z))) | 'LE'(f(z), 0)),
% 6.23/6.45 inference(resolve, [$cnf('E'(0, f(suc(suc(z)))))],
% 6.23/6.45 [refute_0_304, refute_0_358])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_360, plain, (~ 'E'(0, f(suc(z)))),
% 6.23/6.45 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_359, clause_77])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_361, plain, ('LE'(f(z), 0)),
% 6.23/6.45 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 6.23/6.45 [refute_0_275, refute_0_360])).
% 6.23/6.45
% 6.23/6.45 cnf(refute_0_362, plain, ($false),
% 6.23/6.45 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_361, clause_77])).
% 6.23/6.45 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.23/6.45
%------------------------------------------------------------------------------