TSTP Solution File: SYO685-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYO685-1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 18:40:52 EDT 2022
% Result : Unsatisfiable 8.86s 9.01s
% Output : CNFRefutation 8.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO685-1 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jul 9 04:12:59 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 8.86/9.01 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.86/9.01
% 8.86/9.01 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.86/9.02 cnf(clause_143, axiom,
% 8.86/9.02 (~ 'E'(s(s(0)), f(A_3)) | ~ 'E'(s(s(0)), f(suc(A_3))) |
% 8.86/9.02 'E'(f(A_3), f(suc(A_3))) | iLEQ(suc(A_3), suc(A_3)))).
% 8.86/9.02
% 8.86/9.02 cnf(clause_130, axiom,
% 8.86/9.02 (~ 'E'(s(s(s(s(0)))), f(A_1)) | ~ 'E'(s(s(s(s(0)))), f(suc(A_1))) |
% 8.86/9.02 'E'(f(A_1), f(suc(A_1))) | iLEQ(suc(A_1), suc(A_1)))).
% 8.86/9.02
% 8.86/9.02 cnf(clause_125, axiom,
% 8.86/9.02 (~ 'LE'(f(B_16), s(s(s(0)))) | 'E'(s(s(0)), f(B_16)) |
% 8.86/9.02 'LE'(f(B_16), s(s(0))))).
% 8.86/9.02
% 8.86/9.02 cnf(clause_61, axiom,
% 8.86/9.02 (~ 'E'(s(0), f(suc(suc(A_4)))) | ~ 'E'(s(0), f(suc(A_4))) |
% 8.86/9.02 ~ 'E'(f(A_4), f(suc(A_4))) | ~ 'E'(s(0), f(A_4)) |
% 8.86/9.02 iLEQ(suc(A_4), suc(A_4)))).
% 8.86/9.02
% 8.86/9.02 cnf(clause_169, axiom,
% 8.86/9.02 (~ iLEQ(suc(A_5), suc(B_24)) | ~ 'E'(0, f(A_5)) |
% 8.86/9.02 ~ 'E'(0, f(suc(A_5))) | ~ 'E'(0, f(suc(B_24))) | ~ 'E'(0, f(B_24)) |
% 8.86/9.02 'E'(f(A_5), f(suc(A_5))) | 'E'(f(B_24), f(suc(B_24))))).
% 8.86/9.02
% 8.86/9.02 cnf(clause_28, axiom,
% 8.86/9.02 (~ 'E'(s(s(s(0))), f(A_2)) | ~ 'E'(s(s(s(0))), f(suc(A_2))) |
% 8.86/9.02 'E'(f(A_2), f(suc(A_2))) | iLEQ(suc(A_2), suc(A_2)))).
% 8.86/9.02
% 8.86/9.02 cnf(clause_97, axiom,
% 8.86/9.02 (~ 'LE'(f(suc(suc(B_16))), s(s(s(0)))) |
% 8.86/9.02 'E'(s(s(0)), f(suc(suc(B_16)))) | 'LE'(f(B_16), s(s(0))))).
% 8.86/9.02
% 8.86/9.02 cnf(clause_74, axiom,
% 8.86/9.02 (~ 'E'(s(s(0)), f(suc(B_17))) | ~ 'E'(s(s(0)), f(B_17)) |
% 8.86/9.02 ~ 'E'(s(s(0)), f(suc(A_3))) | ~ 'E'(s(s(0)), f(suc(suc(A_3)))) |
% 8.86/9.02 ~ iLEQ(suc(A_3), suc(B_17)) | ~ 'E'(f(A_3), f(suc(A_3))) |
% 8.86/9.02 ~ 'E'(f(B_17), f(suc(B_17))) | ~ 'E'(s(s(0)), f(A_3)) |
% 8.86/9.02 ~ 'E'(s(s(0)), f(suc(suc(B_17)))))).
% 8.86/9.02
% 8.86/9.02 cnf(clause_190, axiom,
% 8.86/9.02 (~ 'E'(s(s(s(0))), f(suc(suc(A_2)))) | ~ 'E'(s(s(s(0))), f(suc(A_2))) |
% 8.86/9.02 ~ 'E'(f(A_2), f(suc(A_2))) | ~ 'E'(s(s(s(0))), f(A_2)) |
% 8.86/9.02 iLEQ(suc(A_2), suc(A_2)))).
% 8.86/9.02
% 8.86/9.02 cnf(clause_79, axiom,
% 8.86/9.02 (~ 'E'(s(s(s(s(0)))), f(suc(suc(A_1)))) |
% 8.86/9.02 ~ 'E'(s(s(s(s(0)))), f(suc(A_1))) | ~ 'E'(f(A_1), f(suc(A_1))) |
% 8.86/9.02 ~ 'E'(s(s(s(s(0)))), f(A_1)) | iLEQ(suc(A_1), suc(A_1)))).
% 8.86/9.02
% 8.86/9.02 cnf(clause_184, axiom,
% 8.86/9.02 (~ 'LE'(f(B_20), s(s(0))) | 'E'(s(0), f(B_20)) | 'LE'(f(B_20), s(0)))).
% 8.86/9.02
% 8.86/9.02 cnf(clause_191, axiom,
% 8.86/9.02 (~ 'LE'(f(suc(B_5)), s(s(s(s(s(0)))))) |
% 8.86/9.02 'E'(s(s(s(s(0)))), f(suc(B_5))) | 'LE'(f(B_5), s(s(s(s(0))))))).
% 8.86/9.02
% 8.86/9.02 cnf(clause_93, axiom,
% 8.86/9.02 (~ 'LE'(f(suc(suc(B_5))), s(s(s(s(s(0)))))) |
% 8.86/9.02 'E'(s(s(s(s(0)))), f(suc(suc(B_5)))) | 'LE'(f(B_5), s(s(s(s(0))))))).
% 8.86/9.02
% 8.86/9.02 cnf(clause_40, axiom,
% 8.86/9.02 (~ 'E'(s(s(0)), f(suc(suc(A_3)))) | ~ 'E'(s(s(0)), f(suc(A_3))) |
% 8.86/9.02 ~ 'E'(f(A_3), f(suc(A_3))) | ~ 'E'(s(s(0)), f(A_3)) |
% 8.86/9.02 iLEQ(suc(A_3), suc(A_3)))).
% 8.86/9.02
% 8.86/9.02 cnf(clause_95, axiom,
% 8.86/9.02 (~ 'LE'(f(B_11), s(s(s(s(0))))) | 'E'(s(s(s(0))), f(B_11)) |
% 8.86/9.02 'LE'(f(B_11), s(s(s(0)))))).
% 8.86/9.02
% 8.86/9.02 cnf(clause_86, axiom,
% 8.86/9.02 (~ 'LE'(f(suc(B_16)), s(s(s(0)))) | 'E'(s(s(0)), f(suc(B_16))) |
% 8.86/9.02 'LE'(f(B_16), s(s(0))))).
% 8.86/9.02
% 8.86/9.02 cnf(clause_96, axiom, (~ 'LE'(f(z), 0))).
% 8.86/9.02
% 8.86/9.02 cnf(clause_175, axiom,
% 8.86/9.02 (~ iLEQ(suc(A_4), suc(B_21)) | ~ 'E'(f(A_4), f(suc(A_4))) |
% 8.86/9.02 ~ 'E'(s(0), f(suc(B_21))) | ~ 'E'(s(0), f(suc(suc(B_21)))) |
% 8.86/9.02 ~ 'E'(s(0), f(B_21)) | ~ 'E'(s(0), f(suc(suc(A_4)))) |
% 8.86/9.02 ~ 'E'(s(0), f(suc(A_4))) | ~ 'E'(f(B_21), f(suc(B_21))) |
% 8.86/9.02 ~ 'E'(s(0), f(A_4)))).
% 8.86/9.02
% 8.86/9.02 cnf(clause_49, axiom,
% 8.86/9.02 (~ iLEQ(suc(A_2), suc(B_12)) | ~ 'E'(s(s(s(0))), f(suc(A_2))) |
% 8.86/9.02 ~ 'E'(s(s(s(0))), f(B_12)) | ~ 'E'(s(s(s(0))), f(A_2)) |
% 8.86/9.02 ~ 'E'(s(s(s(0))), f(suc(B_12))) | 'E'(f(A_2), f(suc(A_2))) |
% 8.86/9.02 'E'(f(B_12), f(suc(B_12))))).
% 8.86/9.02
% 8.86/9.02 cnf(clause_52, axiom,
% 8.86/9.02 (~ 'LE'(f(suc(suc(B_11))), s(s(s(s(0))))) |
% 8.86/9.02 'E'(s(s(s(0))), f(suc(suc(B_11)))) | 'LE'(f(B_11), s(s(s(0)))))).
% 8.86/9.02
% 8.86/9.02 cnf(clause_168, axiom,
% 8.86/9.02 (~ 'LE'(f(suc(B_23)), s(0)) | 'E'(0, f(suc(B_23))) |
% 8.86/9.02 'LE'(f(B_23), 0))).
% 8.86/9.02
% 8.86/9.02 cnf(clause_30, axiom,
% 8.86/9.02 (~ 'LE'(f(suc(B_20)), s(s(0))) | 'E'(s(0), f(suc(B_20))) |
% 8.86/9.02 'LE'(f(B_20), s(0)))).
% 8.86/9.02
% 8.86/9.02 cnf(clause_87, axiom,
% 8.86/9.02 (~ iLEQ(suc(A_4), suc(B_21)) | ~ 'E'(s(0), f(suc(B_21))) |
% 8.86/9.02 ~ 'E'(s(0), f(B_21)) | ~ 'E'(s(0), f(suc(A_4))) |
% 8.86/9.02 ~ 'E'(s(0), f(A_4)) | 'E'(f(A_4), f(suc(A_4))) |
% 8.86/9.02 'E'(f(B_21), f(suc(B_21))))).
% 8.86/9.02
% 8.86/9.02 cnf(clause_105, axiom,
% 8.86/9.02 (~ 'E'(f(B_24), f(suc(B_24))) | ~ 'E'(0, f(suc(suc(B_24)))) |
% 8.86/9.02 ~ iLEQ(suc(A_5), suc(B_24)) | ~ 'E'(0, f(A_5)) |
% 8.86/9.02 ~ 'E'(0, f(suc(A_5))) | ~ 'E'(0, f(suc(suc(A_5)))) |
% 8.86/9.02 ~ 'E'(0, f(suc(B_24))) | ~ 'E'(0, f(B_24)) |
% 8.86/9.02 ~ 'E'(f(A_5), f(suc(A_5))))).
% 8.86/9.02
% 8.86/9.02 cnf(clause_116, axiom,
% 8.86/9.02 (~ 'LE'(f(suc(suc(B_20))), s(s(0))) | 'E'(s(0), f(suc(suc(B_20)))) |
% 8.86/9.02 'LE'(f(B_20), s(0)))).
% 8.86/9.02
% 8.86/9.02 cnf(clause_113, axiom,
% 8.86/9.02 (~ 'LE'(f(B_5), s(s(s(s(s(0)))))) | 'E'(s(s(s(s(0)))), f(B_5)) |
% 8.86/9.02 'LE'(f(B_5), s(s(s(s(0))))))).
% 8.86/9.02
% 8.86/9.02 cnf(clause_44, axiom,
% 8.86/9.02 (~ 'E'(0, f(suc(suc(A_5)))) | ~ 'E'(0, f(suc(A_5))) |
% 8.86/9.02 ~ 'E'(f(A_5), f(suc(A_5))) | ~ 'E'(0, f(A_5)) |
% 8.86/9.02 iLEQ(suc(A_5), suc(A_5)))).
% 8.86/9.02
% 8.86/9.02 cnf(clause_34, axiom,
% 8.86/9.02 (~ 'E'(s(s(s(s(0)))), f(B_6)) | ~ iLEQ(suc(A_1), suc(B_6)) |
% 8.86/9.02 ~ 'E'(s(s(s(s(0)))), f(suc(B_6))) |
% 8.86/9.02 ~ 'E'(s(s(s(s(0)))), f(suc(A_1))) | ~ 'E'(s(s(s(s(0)))), f(A_1)) |
% 8.86/9.02 'E'(f(A_1), f(suc(A_1))) | 'E'(f(B_6), f(suc(B_6))))).
% 8.86/9.02
% 8.86/9.02 cnf(clause_111, axiom,
% 8.86/9.02 (~ 'LE'(f(suc(B_11)), s(s(s(s(0))))) | 'E'(s(s(s(0))), f(suc(B_11))) |
% 8.86/9.02 'LE'(f(B_11), s(s(s(0)))))).
% 8.86/9.02
% 8.86/9.02 cnf(clause_19, axiom,
% 8.86/9.02 (~ 'E'(0, f(A_5)) | ~ 'E'(0, f(suc(A_5))) | 'E'(f(A_5), f(suc(A_5))) |
% 8.86/9.02 iLEQ(suc(A_5), suc(A_5)))).
% 8.86/9.02
% 8.86/9.02 cnf(clause_115, axiom,
% 8.86/9.02 (~ 'E'(s(s(0)), f(suc(B_17))) | ~ 'E'(s(s(0)), f(B_17)) |
% 8.86/9.02 ~ 'E'(s(s(0)), f(suc(A_3))) | ~ iLEQ(suc(A_3), suc(B_17)) |
% 8.86/9.02 ~ 'E'(s(s(0)), f(A_3)) | 'E'(f(A_3), f(suc(A_3))) |
% 8.86/9.02 'E'(f(B_17), f(suc(B_17))))).
% 8.86/9.02
% 8.86/9.02 cnf(clause_11, axiom,
% 8.86/9.02 (~ 'LE'(f(suc(suc(B_23))), s(0)) | 'E'(0, f(suc(suc(B_23)))) |
% 8.86/9.02 'LE'(f(B_23), 0))).
% 8.86/9.02
% 8.86/9.02 cnf(clause_73, axiom,
% 8.86/9.02 (~ iLEQ(suc(A_2), suc(B_12)) | ~ 'E'(s(s(s(0))), f(suc(A_2))) |
% 8.86/9.02 ~ 'E'(s(s(s(0))), f(B_12)) | ~ 'E'(s(s(s(0))), f(A_2)) |
% 8.86/9.02 ~ 'E'(f(B_12), f(suc(B_12))) | ~ 'E'(s(s(s(0))), f(suc(B_12))) |
% 8.86/9.02 ~ 'E'(s(s(s(0))), f(suc(suc(B_12)))) |
% 8.86/9.02 ~ 'E'(s(s(s(0))), f(suc(suc(A_2)))) | ~ 'E'(f(A_2), f(suc(A_2))))).
% 8.86/9.02
% 8.86/9.02 cnf(clause_204, axiom,
% 8.86/9.02 (~ 'E'(s(0), f(A_4)) | ~ 'E'(s(0), f(suc(A_4))) |
% 8.86/9.02 'E'(f(A_4), f(suc(A_4))) | iLEQ(suc(A_4), suc(A_4)))).
% 8.86/9.02
% 8.86/9.02 cnf(clause_53, axiom, ('LE'(f(A), s(s(s(s(s(0)))))))).
% 8.86/9.02
% 8.86/9.02 cnf(clause_183, axiom,
% 8.86/9.02 (~ 'E'(s(s(s(s(0)))), f(B_6)) | ~ iLEQ(suc(A_1), suc(B_6)) |
% 8.86/9.02 ~ 'E'(s(s(s(s(0)))), f(suc(suc(B_6)))) |
% 8.86/9.02 ~ 'E'(s(s(s(s(0)))), f(suc(B_6))) |
% 8.86/9.02 ~ 'E'(s(s(s(s(0)))), f(suc(suc(A_1)))) |
% 8.86/9.02 ~ 'E'(s(s(s(s(0)))), f(suc(A_1))) | ~ 'E'(f(A_1), f(suc(A_1))) |
% 8.86/9.02 ~ 'E'(s(s(s(s(0)))), f(A_1)) | ~ 'E'(f(B_6), f(suc(B_6))))).
% 8.86/9.02
% 8.86/9.02 cnf(clause_173, axiom,
% 8.86/9.02 (~ 'LE'(f(B_23), s(0)) | 'E'(0, f(B_23)) | 'LE'(f(B_23), 0))).
% 8.86/9.02
% 8.86/9.02 cnf(refute_0_0, plain,
% 8.86/9.02 (~ 'LE'(f(suc(X_851)), s(0)) | 'E'(0, f(suc(X_851))) |
% 8.86/9.02 'LE'(f(X_851), 0)),
% 8.86/9.02 inference(subst, [], [clause_168 : [bind(B_23, $fot(X_851))]])).
% 8.86/9.02
% 8.86/9.02 cnf(refute_0_1, plain,
% 8.86/9.02 (~ 'LE'(f(X_455), s(s(0))) | 'E'(s(0), f(X_455)) |
% 8.86/9.02 'LE'(f(X_455), s(0))),
% 8.86/9.02 inference(subst, [], [clause_184 : [bind(B_20, $fot(X_455))]])).
% 8.86/9.02
% 8.86/9.02 cnf(refute_0_2, plain,
% 8.86/9.02 (~ 'LE'(f(X_450), s(s(0))) | 'E'(s(0), f(X_450)) |
% 8.86/9.02 'LE'(f(X_450), s(0))),
% 8.86/9.02 inference(subst, [], [clause_184 : [bind(B_20, $fot(X_450))]])).
% 8.86/9.02
% 8.86/9.02 cnf(refute_0_3, plain,
% 8.86/9.02 (~ 'LE'(f(X_267), s(s(0))) | 'E'(s(0), f(X_267)) |
% 8.86/9.02 'LE'(f(X_267), s(0))),
% 8.86/9.02 inference(subst, [], [clause_184 : [bind(B_20, $fot(X_267))]])).
% 8.86/9.02
% 8.86/9.02 cnf(refute_0_4, plain,
% 8.86/9.02 (~ 'LE'(f(X_266), s(s(s(0)))) | 'E'(s(s(0)), f(X_266)) |
% 8.86/9.02 'LE'(f(X_266), s(s(0)))),
% 8.86/9.02 inference(subst, [], [clause_125 : [bind(B_16, $fot(X_266))]])).
% 8.86/9.02
% 8.86/9.02 cnf(refute_0_5, plain,
% 8.86/9.02 (~ 'LE'(f(X_249), s(s(s(0)))) | 'E'(s(s(0)), f(X_249)) |
% 8.86/9.02 'LE'(f(X_249), s(s(0)))),
% 8.86/9.02 inference(subst, [], [clause_125 : [bind(B_16, $fot(X_249))]])).
% 8.86/9.02
% 8.86/9.02 cnf(refute_0_6, plain,
% 8.86/9.02 (~ 'LE'(f(X_231), s(s(s(0)))) | 'E'(s(s(0)), f(X_231)) |
% 8.86/9.02 'LE'(f(X_231), s(s(0)))),
% 8.86/9.02 inference(subst, [], [clause_125 : [bind(B_16, $fot(X_231))]])).
% 8.86/9.02
% 8.86/9.02 cnf(refute_0_7, plain,
% 8.86/9.02 (~ 'LE'(f(X_116), s(s(s(0)))) | 'E'(s(s(0)), f(X_116)) |
% 8.86/9.02 'LE'(f(X_116), s(s(0)))),
% 8.86/9.02 inference(subst, [], [clause_125 : [bind(B_16, $fot(X_116))]])).
% 8.86/9.02
% 8.86/9.02 cnf(refute_0_8, plain,
% 8.86/9.02 (~ 'LE'(f(X_115), s(s(s(s(0))))) | 'E'(s(s(s(0))), f(X_115)) |
% 8.86/9.02 'LE'(f(X_115), s(s(s(0))))),
% 8.86/9.02 inference(subst, [], [clause_95 : [bind(B_11, $fot(X_115))]])).
% 8.86/9.02
% 8.86/9.02 cnf(refute_0_9, plain,
% 8.86/9.02 (~ 'LE'(f(X_110), s(s(s(s(0))))) | 'E'(s(s(s(0))), f(X_110)) |
% 8.86/9.02 'LE'(f(X_110), s(s(s(0))))),
% 8.86/9.02 inference(subst, [], [clause_95 : [bind(B_11, $fot(X_110))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_10, plain,
% 8.86/9.03 (~ 'LE'(f(X_82), s(s(s(s(0))))) | 'E'(s(s(s(0))), f(X_82)) |
% 8.86/9.03 'LE'(f(X_82), s(s(s(0))))),
% 8.86/9.03 inference(subst, [], [clause_95 : [bind(B_11, $fot(X_82))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_11, plain, ('LE'(f(B_5), s(s(s(s(s(0))))))),
% 8.86/9.03 inference(subst, [], [clause_53 : [bind(A, $fot(B_5))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_12, plain,
% 8.86/9.03 ('E'(s(s(s(s(0)))), f(B_5)) | 'LE'(f(B_5), s(s(s(s(0)))))),
% 8.86/9.03 inference(resolve, [$cnf('LE'(f(B_5), s(s(s(s(s(0)))))))],
% 8.86/9.03 [refute_0_11, clause_113])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_13, plain,
% 8.86/9.03 ('E'(s(s(s(s(0)))), f(X_13)) | 'LE'(f(X_13), s(s(s(s(0)))))),
% 8.86/9.03 inference(subst, [], [refute_0_12 : [bind(B_5, $fot(X_13))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_14, plain,
% 8.86/9.03 (~ 'LE'(f(X_13), s(s(s(s(0))))) | 'E'(s(s(s(0))), f(X_13)) |
% 8.86/9.03 'LE'(f(X_13), s(s(s(0))))),
% 8.86/9.03 inference(subst, [], [clause_95 : [bind(B_11, $fot(X_13))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_15, plain,
% 8.86/9.03 ('E'(s(s(s(0))), f(X_13)) | 'E'(s(s(s(s(0)))), f(X_13)) |
% 8.86/9.03 'LE'(f(X_13), s(s(s(0))))),
% 8.86/9.03 inference(resolve, [$cnf('LE'(f(X_13), s(s(s(s(0))))))],
% 8.86/9.03 [refute_0_13, refute_0_14])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_16, plain,
% 8.86/9.03 ('E'(s(s(s(0))), f(X_32)) | 'E'(s(s(s(s(0)))), f(X_32)) |
% 8.86/9.03 'LE'(f(X_32), s(s(s(0))))),
% 8.86/9.03 inference(subst, [], [refute_0_15 : [bind(X_13, $fot(X_32))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_17, plain, ('LE'(f(suc(B_5)), s(s(s(s(s(0))))))),
% 8.86/9.03 inference(subst, [], [clause_53 : [bind(A, $fot(suc(B_5)))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_18, plain,
% 8.86/9.03 ('E'(s(s(s(s(0)))), f(suc(B_5))) | 'LE'(f(B_5), s(s(s(s(0)))))),
% 8.86/9.03 inference(resolve, [$cnf('LE'(f(suc(B_5)), s(s(s(s(s(0)))))))],
% 8.86/9.03 [refute_0_17, clause_191])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_19, plain,
% 8.86/9.03 ('E'(s(s(s(s(0)))), f(suc(X_26))) | 'LE'(f(X_26), s(s(s(s(0)))))),
% 8.86/9.03 inference(subst, [], [refute_0_18 : [bind(B_5, $fot(X_26))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_20, plain,
% 8.86/9.03 (~ 'E'(s(s(s(s(0)))), f(X_26)) | ~ 'E'(s(s(s(s(0)))), f(suc(X_26))) |
% 8.86/9.03 'E'(f(X_26), f(suc(X_26))) | iLEQ(suc(X_26), suc(X_26))),
% 8.86/9.03 inference(subst, [], [clause_130 : [bind(A_1, $fot(X_26))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_21, plain,
% 8.86/9.03 (~ 'E'(s(s(s(s(0)))), f(X_26)) | 'E'(f(X_26), f(suc(X_26))) |
% 8.86/9.03 'LE'(f(X_26), s(s(s(s(0))))) | iLEQ(suc(X_26), suc(X_26))),
% 8.86/9.03 inference(resolve, [$cnf('E'(s(s(s(s(0)))), f(suc(X_26))))],
% 8.86/9.03 [refute_0_19, refute_0_20])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_22, plain,
% 8.86/9.03 (~ 'E'(s(s(s(s(0)))), f(X_32)) | 'E'(f(X_32), f(suc(X_32))) |
% 8.86/9.03 'LE'(f(X_32), s(s(s(s(0))))) | iLEQ(suc(X_32), suc(X_32))),
% 8.86/9.03 inference(subst, [], [refute_0_21 : [bind(X_26, $fot(X_32))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_23, plain,
% 8.86/9.03 ('E'(f(X_32), f(suc(X_32))) | 'E'(s(s(s(0))), f(X_32)) |
% 8.86/9.03 'LE'(f(X_32), s(s(s(0)))) | 'LE'(f(X_32), s(s(s(s(0))))) |
% 8.86/9.03 iLEQ(suc(X_32), suc(X_32))),
% 8.86/9.03 inference(resolve, [$cnf('E'(s(s(s(s(0)))), f(X_32)))],
% 8.86/9.03 [refute_0_16, refute_0_22])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_24, plain,
% 8.86/9.03 ('E'(f(X_82), f(suc(X_82))) | 'E'(s(s(s(0))), f(X_82)) |
% 8.86/9.03 'LE'(f(X_82), s(s(s(0)))) | 'LE'(f(X_82), s(s(s(s(0))))) |
% 8.86/9.03 iLEQ(suc(X_82), suc(X_82))),
% 8.86/9.03 inference(subst, [], [refute_0_23 : [bind(X_32, $fot(X_82))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_25, plain,
% 8.86/9.03 ('E'(f(X_82), f(suc(X_82))) | 'E'(s(s(s(0))), f(X_82)) |
% 8.86/9.03 'LE'(f(X_82), s(s(s(0)))) | iLEQ(suc(X_82), suc(X_82))),
% 8.86/9.03 inference(resolve, [$cnf('LE'(f(X_82), s(s(s(s(0))))))],
% 8.86/9.03 [refute_0_24, refute_0_10])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_26, plain,
% 8.86/9.03 ('E'(f(X_109), f(suc(X_109))) | 'E'(s(s(s(0))), f(X_109)) |
% 8.86/9.03 'LE'(f(X_109), s(s(s(0)))) | iLEQ(suc(X_109), suc(X_109))),
% 8.86/9.03 inference(subst, [], [refute_0_25 : [bind(X_82, $fot(X_109))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_27, plain,
% 8.86/9.03 ('E'(s(s(s(0))), f(X_60)) | 'E'(s(s(s(s(0)))), f(X_60)) |
% 8.86/9.03 'LE'(f(X_60), s(s(s(0))))),
% 8.86/9.03 inference(subst, [], [refute_0_15 : [bind(X_13, $fot(X_60))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_28, plain,
% 8.86/9.03 ('E'(s(s(s(s(0)))), f(suc(X_59))) | 'LE'(f(X_59), s(s(s(s(0)))))),
% 8.86/9.03 inference(subst, [], [refute_0_18 : [bind(B_5, $fot(X_59))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_29, plain, ('LE'(f(suc(suc(B_5))), s(s(s(s(s(0))))))),
% 8.86/9.03 inference(subst, [], [clause_53 : [bind(A, $fot(suc(suc(B_5))))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_30, plain,
% 8.86/9.03 ('E'(s(s(s(s(0)))), f(suc(suc(B_5)))) | 'LE'(f(B_5), s(s(s(s(0)))))),
% 8.86/9.03 inference(resolve, [$cnf('LE'(f(suc(suc(B_5))), s(s(s(s(s(0)))))))],
% 8.86/9.03 [refute_0_29, clause_93])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_31, plain,
% 8.86/9.03 ('E'(s(s(s(s(0)))), f(suc(suc(X_42)))) | 'LE'(f(X_42), s(s(s(s(0)))))),
% 8.86/9.03 inference(subst, [], [refute_0_30 : [bind(B_5, $fot(X_42))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_32, plain,
% 8.86/9.03 (~ 'E'(f(X_42), f(suc(X_42))) | ~ 'E'(s(s(s(s(0)))), f(X_42)) |
% 8.86/9.03 ~ 'E'(s(s(s(s(0)))), f(suc(X_42))) |
% 8.86/9.03 ~ 'E'(s(s(s(s(0)))), f(suc(suc(X_42)))) | iLEQ(suc(X_42), suc(X_42))),
% 8.86/9.03 inference(subst, [], [clause_79 : [bind(A_1, $fot(X_42))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_33, plain,
% 8.86/9.03 (~ 'E'(f(X_42), f(suc(X_42))) | ~ 'E'(s(s(s(s(0)))), f(X_42)) |
% 8.86/9.03 ~ 'E'(s(s(s(s(0)))), f(suc(X_42))) | 'LE'(f(X_42), s(s(s(s(0))))) |
% 8.86/9.03 iLEQ(suc(X_42), suc(X_42))),
% 8.86/9.03 inference(resolve, [$cnf('E'(s(s(s(s(0)))), f(suc(suc(X_42)))))],
% 8.86/9.03 [refute_0_31, refute_0_32])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_34, plain,
% 8.86/9.03 (~ 'E'(f(X_59), f(suc(X_59))) | ~ 'E'(s(s(s(s(0)))), f(X_59)) |
% 8.86/9.03 ~ 'E'(s(s(s(s(0)))), f(suc(X_59))) | 'LE'(f(X_59), s(s(s(s(0))))) |
% 8.86/9.03 iLEQ(suc(X_59), suc(X_59))),
% 8.86/9.03 inference(subst, [], [refute_0_33 : [bind(X_42, $fot(X_59))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_35, plain,
% 8.86/9.03 (~ 'E'(f(X_59), f(suc(X_59))) | ~ 'E'(s(s(s(s(0)))), f(X_59)) |
% 8.86/9.03 'LE'(f(X_59), s(s(s(s(0))))) | iLEQ(suc(X_59), suc(X_59))),
% 8.86/9.03 inference(resolve, [$cnf('E'(s(s(s(s(0)))), f(suc(X_59))))],
% 8.86/9.03 [refute_0_28, refute_0_34])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_36, plain,
% 8.86/9.03 (~ 'E'(f(X_60), f(suc(X_60))) | ~ 'E'(s(s(s(s(0)))), f(X_60)) |
% 8.86/9.03 'LE'(f(X_60), s(s(s(s(0))))) | iLEQ(suc(X_60), suc(X_60))),
% 8.86/9.03 inference(subst, [], [refute_0_35 : [bind(X_59, $fot(X_60))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_37, plain,
% 8.86/9.03 (~ 'E'(f(X_60), f(suc(X_60))) | 'E'(s(s(s(0))), f(X_60)) |
% 8.86/9.03 'LE'(f(X_60), s(s(s(0)))) | 'LE'(f(X_60), s(s(s(s(0))))) |
% 8.86/9.03 iLEQ(suc(X_60), suc(X_60))),
% 8.86/9.03 inference(resolve, [$cnf('E'(s(s(s(s(0)))), f(X_60)))],
% 8.86/9.03 [refute_0_27, refute_0_36])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_38, plain,
% 8.86/9.03 (~ 'E'(f(X_109), f(suc(X_109))) | 'E'(s(s(s(0))), f(X_109)) |
% 8.86/9.03 'LE'(f(X_109), s(s(s(0)))) | 'LE'(f(X_109), s(s(s(s(0))))) |
% 8.86/9.03 iLEQ(suc(X_109), suc(X_109))),
% 8.86/9.03 inference(subst, [], [refute_0_37 : [bind(X_60, $fot(X_109))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_39, plain,
% 8.86/9.03 ('E'(s(s(s(0))), f(X_109)) | 'LE'(f(X_109), s(s(s(0)))) |
% 8.86/9.03 'LE'(f(X_109), s(s(s(s(0))))) | iLEQ(suc(X_109), suc(X_109))),
% 8.86/9.03 inference(resolve, [$cnf('E'(f(X_109), f(suc(X_109))))],
% 8.86/9.03 [refute_0_26, refute_0_38])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_40, plain,
% 8.86/9.03 ('E'(s(s(s(0))), f(X_110)) | 'LE'(f(X_110), s(s(s(0)))) |
% 8.86/9.03 'LE'(f(X_110), s(s(s(s(0))))) | iLEQ(suc(X_110), suc(X_110))),
% 8.86/9.03 inference(subst, [], [refute_0_39 : [bind(X_109, $fot(X_110))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_41, plain,
% 8.86/9.03 ('E'(s(s(s(0))), f(X_110)) | 'LE'(f(X_110), s(s(s(0)))) |
% 8.86/9.03 iLEQ(suc(X_110), suc(X_110))),
% 8.86/9.03 inference(resolve, [$cnf('LE'(f(X_110), s(s(s(s(0))))))],
% 8.86/9.03 [refute_0_40, refute_0_9])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_42, plain,
% 8.86/9.03 ('E'(s(s(s(0))), f(X_114)) | 'LE'(f(X_114), s(s(s(0)))) |
% 8.86/9.03 iLEQ(suc(X_114), suc(X_114))),
% 8.86/9.03 inference(subst, [], [refute_0_41 : [bind(X_110, $fot(X_114))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_43, plain,
% 8.86/9.03 ('E'(s(s(s(0))), f(X_55)) | 'E'(s(s(s(s(0)))), f(X_55)) |
% 8.86/9.03 'LE'(f(X_55), s(s(s(0))))),
% 8.86/9.03 inference(subst, [], [refute_0_15 : [bind(X_13, $fot(X_55))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_44, plain,
% 8.86/9.03 ('E'(s(s(s(s(0)))), f(suc(X_54))) | 'LE'(f(X_54), s(s(s(s(0)))))),
% 8.86/9.03 inference(subst, [], [refute_0_18 : [bind(B_5, $fot(X_54))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_45, plain,
% 8.86/9.03 ('E'(s(s(s(s(0)))), f(suc(suc(X_43)))) | 'LE'(f(X_43), s(s(s(s(0)))))),
% 8.86/9.03 inference(subst, [], [refute_0_30 : [bind(B_5, $fot(X_43))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_46, plain,
% 8.86/9.03 (~ 'E'(f(X_43), f(suc(X_43))) | ~ 'E'(s(s(s(s(0)))), f(X_43)) |
% 8.86/9.03 ~ 'E'(s(s(s(s(0)))), f(suc(X_43))) |
% 8.86/9.03 ~ 'E'(s(s(s(s(0)))), f(suc(suc(X_43)))) |
% 8.86/9.03 ~ iLEQ(suc(X_43), suc(X_43))),
% 8.86/9.03 inference(subst, [],
% 8.86/9.03 [clause_183 :
% 8.86/9.03 [bind(A_1, $fot(X_43)), bind(B_6, $fot(X_43))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_47, plain,
% 8.86/9.03 (~ 'E'(f(X_43), f(suc(X_43))) | ~ 'E'(s(s(s(s(0)))), f(X_43)) |
% 8.86/9.03 ~ 'E'(s(s(s(s(0)))), f(suc(X_43))) | ~ iLEQ(suc(X_43), suc(X_43)) |
% 8.86/9.03 'LE'(f(X_43), s(s(s(s(0)))))),
% 8.86/9.03 inference(resolve, [$cnf('E'(s(s(s(s(0)))), f(suc(suc(X_43)))))],
% 8.86/9.03 [refute_0_45, refute_0_46])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_48, plain,
% 8.86/9.03 (~ 'E'(f(X_54), f(suc(X_54))) | ~ 'E'(s(s(s(s(0)))), f(X_54)) |
% 8.86/9.03 ~ 'E'(s(s(s(s(0)))), f(suc(X_54))) | ~ iLEQ(suc(X_54), suc(X_54)) |
% 8.86/9.03 'LE'(f(X_54), s(s(s(s(0)))))),
% 8.86/9.03 inference(subst, [], [refute_0_47 : [bind(X_43, $fot(X_54))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_49, plain,
% 8.86/9.03 (~ 'E'(f(X_54), f(suc(X_54))) | ~ 'E'(s(s(s(s(0)))), f(X_54)) |
% 8.86/9.03 ~ iLEQ(suc(X_54), suc(X_54)) | 'LE'(f(X_54), s(s(s(s(0)))))),
% 8.86/9.03 inference(resolve, [$cnf('E'(s(s(s(s(0)))), f(suc(X_54))))],
% 8.86/9.03 [refute_0_44, refute_0_48])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_50, plain,
% 8.86/9.03 (~ 'E'(f(X_55), f(suc(X_55))) | ~ 'E'(s(s(s(s(0)))), f(X_55)) |
% 8.86/9.03 ~ iLEQ(suc(X_55), suc(X_55)) | 'LE'(f(X_55), s(s(s(s(0)))))),
% 8.86/9.03 inference(subst, [], [refute_0_49 : [bind(X_54, $fot(X_55))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_51, plain,
% 8.86/9.03 (~ 'E'(f(X_55), f(suc(X_55))) | ~ iLEQ(suc(X_55), suc(X_55)) |
% 8.86/9.03 'E'(s(s(s(0))), f(X_55)) | 'LE'(f(X_55), s(s(s(0)))) |
% 8.86/9.03 'LE'(f(X_55), s(s(s(s(0)))))),
% 8.86/9.03 inference(resolve, [$cnf('E'(s(s(s(s(0)))), f(X_55)))],
% 8.86/9.03 [refute_0_43, refute_0_50])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_52, plain,
% 8.86/9.03 (~ 'E'(f(X_112), f(suc(X_112))) | ~ iLEQ(suc(X_112), suc(X_112)) |
% 8.86/9.03 'E'(s(s(s(0))), f(X_112)) | 'LE'(f(X_112), s(s(s(0)))) |
% 8.86/9.03 'LE'(f(X_112), s(s(s(s(0)))))),
% 8.86/9.03 inference(subst, [], [refute_0_51 : [bind(X_55, $fot(X_112))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_53, plain,
% 8.86/9.03 ('E'(s(s(s(0))), f(X_33)) | 'E'(s(s(s(s(0)))), f(X_33)) |
% 8.86/9.03 'LE'(f(X_33), s(s(s(0))))),
% 8.86/9.03 inference(subst, [], [refute_0_15 : [bind(X_13, $fot(X_33))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_54, plain,
% 8.86/9.03 ('E'(s(s(s(s(0)))), f(suc(X_27))) | 'LE'(f(X_27), s(s(s(s(0)))))),
% 8.86/9.03 inference(subst, [], [refute_0_18 : [bind(B_5, $fot(X_27))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_55, plain,
% 8.86/9.03 (~ 'E'(s(s(s(s(0)))), f(X_27)) | ~ 'E'(s(s(s(s(0)))), f(suc(X_27))) |
% 8.86/9.03 ~ iLEQ(suc(X_27), suc(X_27)) | 'E'(f(X_27), f(suc(X_27)))),
% 8.86/9.03 inference(subst, [],
% 8.86/9.03 [clause_34 :
% 8.86/9.03 [bind(A_1, $fot(X_27)), bind(B_6, $fot(X_27))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_56, plain,
% 8.86/9.03 (~ 'E'(s(s(s(s(0)))), f(X_27)) | ~ iLEQ(suc(X_27), suc(X_27)) |
% 8.86/9.03 'E'(f(X_27), f(suc(X_27))) | 'LE'(f(X_27), s(s(s(s(0)))))),
% 8.86/9.03 inference(resolve, [$cnf('E'(s(s(s(s(0)))), f(suc(X_27))))],
% 8.86/9.03 [refute_0_54, refute_0_55])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_57, plain,
% 8.86/9.03 (~ 'E'(s(s(s(s(0)))), f(X_33)) | ~ iLEQ(suc(X_33), suc(X_33)) |
% 8.86/9.03 'E'(f(X_33), f(suc(X_33))) | 'LE'(f(X_33), s(s(s(s(0)))))),
% 8.86/9.03 inference(subst, [], [refute_0_56 : [bind(X_27, $fot(X_33))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_58, plain,
% 8.86/9.03 (~ iLEQ(suc(X_33), suc(X_33)) | 'E'(f(X_33), f(suc(X_33))) |
% 8.86/9.03 'E'(s(s(s(0))), f(X_33)) | 'LE'(f(X_33), s(s(s(0)))) |
% 8.86/9.03 'LE'(f(X_33), s(s(s(s(0)))))),
% 8.86/9.03 inference(resolve, [$cnf('E'(s(s(s(s(0)))), f(X_33)))],
% 8.86/9.03 [refute_0_53, refute_0_57])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_59, plain,
% 8.86/9.03 (~ iLEQ(suc(X_110), suc(X_110)) | 'E'(f(X_110), f(suc(X_110))) |
% 8.86/9.03 'E'(s(s(s(0))), f(X_110)) | 'LE'(f(X_110), s(s(s(0)))) |
% 8.86/9.03 'LE'(f(X_110), s(s(s(s(0)))))),
% 8.86/9.03 inference(subst, [], [refute_0_58 : [bind(X_33, $fot(X_110))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_60, plain,
% 8.86/9.03 ('E'(f(X_110), f(suc(X_110))) | 'E'(s(s(s(0))), f(X_110)) |
% 8.86/9.03 'LE'(f(X_110), s(s(s(0)))) | 'LE'(f(X_110), s(s(s(s(0)))))),
% 8.86/9.03 inference(resolve, [$cnf(iLEQ(suc(X_110), suc(X_110)))],
% 8.86/9.03 [refute_0_40, refute_0_59])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_61, plain,
% 8.86/9.03 ('E'(f(X_112), f(suc(X_112))) | 'E'(s(s(s(0))), f(X_112)) |
% 8.86/9.03 'LE'(f(X_112), s(s(s(0)))) | 'LE'(f(X_112), s(s(s(s(0)))))),
% 8.86/9.03 inference(subst, [], [refute_0_60 : [bind(X_110, $fot(X_112))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_62, plain,
% 8.86/9.03 (~ iLEQ(suc(X_112), suc(X_112)) | 'E'(s(s(s(0))), f(X_112)) |
% 8.86/9.03 'LE'(f(X_112), s(s(s(0)))) | 'LE'(f(X_112), s(s(s(s(0)))))),
% 8.86/9.03 inference(resolve, [$cnf('E'(f(X_112), f(suc(X_112))))],
% 8.86/9.03 [refute_0_61, refute_0_52])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_63, plain,
% 8.86/9.03 (~ iLEQ(suc(X_114), suc(X_114)) | 'E'(s(s(s(0))), f(X_114)) |
% 8.86/9.03 'LE'(f(X_114), s(s(s(0)))) | 'LE'(f(X_114), s(s(s(s(0)))))),
% 8.86/9.03 inference(subst, [], [refute_0_62 : [bind(X_112, $fot(X_114))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_64, plain,
% 8.86/9.03 ('E'(s(s(s(0))), f(X_114)) | 'LE'(f(X_114), s(s(s(0)))) |
% 8.86/9.03 'LE'(f(X_114), s(s(s(s(0)))))),
% 8.86/9.03 inference(resolve, [$cnf(iLEQ(suc(X_114), suc(X_114)))],
% 8.86/9.03 [refute_0_42, refute_0_63])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_65, plain,
% 8.86/9.03 ('E'(s(s(s(0))), f(X_115)) | 'LE'(f(X_115), s(s(s(0)))) |
% 8.86/9.03 'LE'(f(X_115), s(s(s(s(0)))))),
% 8.86/9.03 inference(subst, [], [refute_0_64 : [bind(X_114, $fot(X_115))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_66, plain,
% 8.86/9.03 ('E'(s(s(s(0))), f(X_115)) | 'LE'(f(X_115), s(s(s(0))))),
% 8.86/9.03 inference(resolve, [$cnf('LE'(f(X_115), s(s(s(s(0))))))],
% 8.86/9.03 [refute_0_65, refute_0_8])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_67, plain,
% 8.86/9.03 ('E'(s(s(s(0))), f(X_116)) | 'LE'(f(X_116), s(s(s(0))))),
% 8.86/9.03 inference(subst, [], [refute_0_66 : [bind(X_115, $fot(X_116))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_68, plain,
% 8.86/9.03 ('E'(s(s(0)), f(X_116)) | 'E'(s(s(s(0))), f(X_116)) |
% 8.86/9.03 'LE'(f(X_116), s(s(0)))),
% 8.86/9.03 inference(resolve, [$cnf('LE'(f(X_116), s(s(s(0)))))],
% 8.86/9.03 [refute_0_67, refute_0_7])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_69, plain,
% 8.86/9.03 ('E'(s(s(0)), f(X_150)) | 'E'(s(s(s(0))), f(X_150)) |
% 8.86/9.03 'LE'(f(X_150), s(s(0)))),
% 8.86/9.03 inference(subst, [], [refute_0_68 : [bind(X_116, $fot(X_150))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_70, plain,
% 8.86/9.03 (~ 'E'(s(s(s(0))), f(X_148)) | ~ 'E'(s(s(s(0))), f(suc(X_148))) |
% 8.86/9.03 'E'(f(X_148), f(suc(X_148))) | iLEQ(suc(X_148), suc(X_148))),
% 8.86/9.03 inference(subst, [], [clause_28 : [bind(A_2, $fot(X_148))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_71, plain,
% 8.86/9.03 (~ 'LE'(f(suc(X_147)), s(s(s(s(0))))) |
% 8.86/9.03 'E'(s(s(s(0))), f(suc(X_147))) | 'LE'(f(X_147), s(s(s(0))))),
% 8.86/9.03 inference(subst, [], [clause_111 : [bind(B_11, $fot(X_147))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_72, plain,
% 8.86/9.03 (~ 'LE'(f(suc(X_142)), s(s(s(s(0))))) |
% 8.86/9.03 'E'(s(s(s(0))), f(suc(X_142))) | 'LE'(f(X_142), s(s(s(0))))),
% 8.86/9.03 inference(subst, [], [clause_111 : [bind(B_11, $fot(X_142))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_73, plain,
% 8.86/9.03 ('E'(s(s(s(s(0)))), f(suc(X_15))) | 'LE'(f(suc(X_15)), s(s(s(s(0)))))),
% 8.86/9.03 inference(subst, [], [refute_0_12 : [bind(B_5, $fot(suc(X_15)))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_74, plain,
% 8.86/9.03 (~ 'LE'(f(suc(X_15)), s(s(s(s(0))))) | 'E'(s(s(s(0))), f(suc(X_15))) |
% 8.86/9.03 'LE'(f(X_15), s(s(s(0))))),
% 8.86/9.03 inference(subst, [], [clause_111 : [bind(B_11, $fot(X_15))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_75, plain,
% 8.86/9.03 ('E'(s(s(s(0))), f(suc(X_15))) | 'E'(s(s(s(s(0)))), f(suc(X_15))) |
% 8.86/9.03 'LE'(f(X_15), s(s(s(0))))),
% 8.86/9.03 inference(resolve, [$cnf('LE'(f(suc(X_15)), s(s(s(s(0))))))],
% 8.86/9.03 [refute_0_73, refute_0_74])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_76, plain,
% 8.86/9.03 ('E'(s(s(s(0))), f(suc(X_141))) | 'E'(s(s(s(s(0)))), f(suc(X_141))) |
% 8.86/9.03 'LE'(f(X_141), s(s(s(0))))),
% 8.86/9.03 inference(subst, [], [refute_0_75 : [bind(X_15, $fot(X_141))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_77, plain,
% 8.86/9.03 (~ 'E'(f(suc(X_96)), f(suc(suc(X_96)))) |
% 8.86/9.03 ~ 'E'(s(s(s(s(0)))), f(suc(X_96))) |
% 8.86/9.03 'LE'(f(suc(X_96)), s(s(s(s(0))))) |
% 8.86/9.03 iLEQ(suc(suc(X_96)), suc(suc(X_96)))),
% 8.86/9.03 inference(subst, [], [refute_0_35 : [bind(X_59, $fot(suc(X_96)))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_78, plain,
% 8.86/9.03 (~ 'E'(s(s(s(s(0)))), f(suc(X_15))) |
% 8.86/9.03 'E'(f(suc(X_15)), f(suc(suc(X_15)))) |
% 8.86/9.03 'LE'(f(suc(X_15)), s(s(s(s(0))))) |
% 8.86/9.03 iLEQ(suc(suc(X_15)), suc(suc(X_15)))),
% 8.86/9.03 inference(subst, [], [refute_0_21 : [bind(X_26, $fot(suc(X_15)))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_79, plain,
% 8.86/9.03 ('E'(f(suc(X_15)), f(suc(suc(X_15)))) | 'E'(s(s(s(0))), f(suc(X_15))) |
% 8.86/9.03 'LE'(f(X_15), s(s(s(0)))) | 'LE'(f(suc(X_15)), s(s(s(s(0))))) |
% 8.86/9.03 iLEQ(suc(suc(X_15)), suc(suc(X_15)))),
% 8.86/9.03 inference(resolve, [$cnf('E'(s(s(s(s(0)))), f(suc(X_15))))],
% 8.86/9.03 [refute_0_75, refute_0_78])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_80, plain,
% 8.86/9.03 ('E'(f(suc(X_96)), f(suc(suc(X_96)))) | 'E'(s(s(s(0))), f(suc(X_96))) |
% 8.86/9.03 'LE'(f(X_96), s(s(s(0)))) | 'LE'(f(suc(X_96)), s(s(s(s(0))))) |
% 8.86/9.03 iLEQ(suc(suc(X_96)), suc(suc(X_96)))),
% 8.86/9.03 inference(subst, [], [refute_0_79 : [bind(X_15, $fot(X_96))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_81, plain,
% 8.86/9.03 (~ 'E'(s(s(s(s(0)))), f(suc(X_96))) | 'E'(s(s(s(0))), f(suc(X_96))) |
% 8.86/9.03 'LE'(f(X_96), s(s(s(0)))) | 'LE'(f(suc(X_96)), s(s(s(s(0))))) |
% 8.86/9.03 iLEQ(suc(suc(X_96)), suc(suc(X_96)))),
% 8.86/9.03 inference(resolve, [$cnf('E'(f(suc(X_96)), f(suc(suc(X_96)))))],
% 8.86/9.03 [refute_0_80, refute_0_77])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_82, plain,
% 8.86/9.03 (~ 'E'(s(s(s(s(0)))), f(suc(X_141))) | 'E'(s(s(s(0))), f(suc(X_141))) |
% 8.86/9.03 'LE'(f(X_141), s(s(s(0)))) | 'LE'(f(suc(X_141)), s(s(s(s(0))))) |
% 8.86/9.03 iLEQ(suc(suc(X_141)), suc(suc(X_141)))),
% 8.86/9.03 inference(subst, [], [refute_0_81 : [bind(X_96, $fot(X_141))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_83, plain,
% 8.86/9.03 ('E'(s(s(s(0))), f(suc(X_141))) | 'LE'(f(X_141), s(s(s(0)))) |
% 8.86/9.03 'LE'(f(suc(X_141)), s(s(s(s(0))))) |
% 8.86/9.03 iLEQ(suc(suc(X_141)), suc(suc(X_141)))),
% 8.86/9.03 inference(resolve, [$cnf('E'(s(s(s(s(0)))), f(suc(X_141))))],
% 8.86/9.03 [refute_0_76, refute_0_82])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_84, plain,
% 8.86/9.03 ('E'(s(s(s(0))), f(suc(X_142))) | 'LE'(f(X_142), s(s(s(0)))) |
% 8.86/9.03 'LE'(f(suc(X_142)), s(s(s(s(0))))) |
% 8.86/9.03 iLEQ(suc(suc(X_142)), suc(suc(X_142)))),
% 8.86/9.03 inference(subst, [], [refute_0_83 : [bind(X_141, $fot(X_142))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_85, plain,
% 8.86/9.03 ('E'(s(s(s(0))), f(suc(X_142))) | 'LE'(f(X_142), s(s(s(0)))) |
% 8.86/9.03 iLEQ(suc(suc(X_142)), suc(suc(X_142)))),
% 8.86/9.03 inference(resolve, [$cnf('LE'(f(suc(X_142)), s(s(s(s(0))))))],
% 8.86/9.03 [refute_0_84, refute_0_72])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_86, plain,
% 8.86/9.03 ('E'(s(s(s(0))), f(suc(X_146))) | 'LE'(f(X_146), s(s(s(0)))) |
% 8.86/9.03 iLEQ(suc(suc(X_146)), suc(suc(X_146)))),
% 8.86/9.03 inference(subst, [], [refute_0_85 : [bind(X_142, $fot(X_146))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_87, plain,
% 8.86/9.03 (~ 'E'(f(suc(X_15)), f(suc(suc(X_15)))) |
% 8.86/9.03 ~ 'E'(s(s(s(s(0)))), f(suc(X_15))) |
% 8.86/9.03 ~ iLEQ(suc(suc(X_15)), suc(suc(X_15))) |
% 8.86/9.03 'LE'(f(suc(X_15)), s(s(s(s(0)))))),
% 8.86/9.03 inference(subst, [], [refute_0_49 : [bind(X_54, $fot(suc(X_15)))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_88, plain,
% 8.86/9.03 (~ 'E'(f(suc(X_15)), f(suc(suc(X_15)))) |
% 8.86/9.03 ~ iLEQ(suc(suc(X_15)), suc(suc(X_15))) |
% 8.86/9.03 'E'(s(s(s(0))), f(suc(X_15))) | 'LE'(f(X_15), s(s(s(0)))) |
% 8.86/9.03 'LE'(f(suc(X_15)), s(s(s(s(0)))))),
% 8.86/9.03 inference(resolve, [$cnf('E'(s(s(s(s(0)))), f(suc(X_15))))],
% 8.86/9.03 [refute_0_75, refute_0_87])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_89, plain,
% 8.86/9.03 (~ 'E'(f(suc(X_144)), f(suc(suc(X_144)))) |
% 8.86/9.03 ~ iLEQ(suc(suc(X_144)), suc(suc(X_144))) |
% 8.86/9.03 'E'(s(s(s(0))), f(suc(X_144))) | 'LE'(f(X_144), s(s(s(0)))) |
% 8.86/9.03 'LE'(f(suc(X_144)), s(s(s(s(0)))))),
% 8.86/9.03 inference(subst, [], [refute_0_88 : [bind(X_15, $fot(X_144))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_90, plain,
% 8.86/9.03 (~ 'E'(s(s(s(s(0)))), f(suc(X_15))) |
% 8.86/9.03 ~ iLEQ(suc(suc(X_15)), suc(suc(X_15))) |
% 8.86/9.03 'E'(f(suc(X_15)), f(suc(suc(X_15)))) |
% 8.86/9.03 'LE'(f(suc(X_15)), s(s(s(s(0)))))),
% 8.86/9.03 inference(subst, [], [refute_0_56 : [bind(X_27, $fot(suc(X_15)))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_91, plain,
% 8.86/9.03 (~ iLEQ(suc(suc(X_15)), suc(suc(X_15))) |
% 8.86/9.03 'E'(f(suc(X_15)), f(suc(suc(X_15)))) | 'E'(s(s(s(0))), f(suc(X_15))) |
% 8.86/9.03 'LE'(f(X_15), s(s(s(0)))) | 'LE'(f(suc(X_15)), s(s(s(s(0)))))),
% 8.86/9.03 inference(resolve, [$cnf('E'(s(s(s(s(0)))), f(suc(X_15))))],
% 8.86/9.03 [refute_0_75, refute_0_90])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_92, plain,
% 8.86/9.03 (~ iLEQ(suc(suc(X_142)), suc(suc(X_142))) |
% 8.86/9.03 'E'(f(suc(X_142)), f(suc(suc(X_142)))) |
% 8.86/9.03 'E'(s(s(s(0))), f(suc(X_142))) | 'LE'(f(X_142), s(s(s(0)))) |
% 8.86/9.03 'LE'(f(suc(X_142)), s(s(s(s(0)))))),
% 8.86/9.03 inference(subst, [], [refute_0_91 : [bind(X_15, $fot(X_142))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_93, plain,
% 8.86/9.03 ('E'(f(suc(X_142)), f(suc(suc(X_142)))) |
% 8.86/9.03 'E'(s(s(s(0))), f(suc(X_142))) | 'LE'(f(X_142), s(s(s(0)))) |
% 8.86/9.03 'LE'(f(suc(X_142)), s(s(s(s(0)))))),
% 8.86/9.03 inference(resolve, [$cnf(iLEQ(suc(suc(X_142)), suc(suc(X_142))))],
% 8.86/9.03 [refute_0_84, refute_0_92])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_94, plain,
% 8.86/9.03 ('E'(f(suc(X_144)), f(suc(suc(X_144)))) |
% 8.86/9.03 'E'(s(s(s(0))), f(suc(X_144))) | 'LE'(f(X_144), s(s(s(0)))) |
% 8.86/9.03 'LE'(f(suc(X_144)), s(s(s(s(0)))))),
% 8.86/9.03 inference(subst, [], [refute_0_93 : [bind(X_142, $fot(X_144))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_95, plain,
% 8.86/9.03 (~ iLEQ(suc(suc(X_144)), suc(suc(X_144))) |
% 8.86/9.03 'E'(s(s(s(0))), f(suc(X_144))) | 'LE'(f(X_144), s(s(s(0)))) |
% 8.86/9.03 'LE'(f(suc(X_144)), s(s(s(s(0)))))),
% 8.86/9.03 inference(resolve, [$cnf('E'(f(suc(X_144)), f(suc(suc(X_144)))))],
% 8.86/9.03 [refute_0_94, refute_0_89])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_96, plain,
% 8.86/9.03 (~ iLEQ(suc(suc(X_146)), suc(suc(X_146))) |
% 8.86/9.03 'E'(s(s(s(0))), f(suc(X_146))) | 'LE'(f(X_146), s(s(s(0)))) |
% 8.86/9.03 'LE'(f(suc(X_146)), s(s(s(s(0)))))),
% 8.86/9.03 inference(subst, [], [refute_0_95 : [bind(X_144, $fot(X_146))]])).
% 8.86/9.03
% 8.86/9.03 cnf(refute_0_97, plain,
% 8.86/9.03 ('E'(s(s(s(0))), f(suc(X_146))) | 'LE'(f(X_146), s(s(s(0)))) |
% 8.86/9.03 'LE'(f(suc(X_146)), s(s(s(s(0)))))),
% 8.86/9.03 inference(resolve, [$cnf(iLEQ(suc(suc(X_146)), suc(suc(X_146))))],
% 8.86/9.03 [refute_0_86, refute_0_96])).
% 8.88/9.03
% 8.88/9.03 cnf(refute_0_98, plain,
% 8.88/9.03 ('E'(s(s(s(0))), f(suc(X_147))) | 'LE'(f(X_147), s(s(s(0)))) |
% 8.88/9.03 'LE'(f(suc(X_147)), s(s(s(s(0)))))),
% 8.88/9.03 inference(subst, [], [refute_0_97 : [bind(X_146, $fot(X_147))]])).
% 8.88/9.03
% 8.88/9.03 cnf(refute_0_99, plain,
% 8.88/9.03 ('E'(s(s(s(0))), f(suc(X_147))) | 'LE'(f(X_147), s(s(s(0))))),
% 8.88/9.03 inference(resolve, [$cnf('LE'(f(suc(X_147)), s(s(s(s(0))))))],
% 8.88/9.03 [refute_0_98, refute_0_71])).
% 8.88/9.03
% 8.88/9.03 cnf(refute_0_100, plain,
% 8.88/9.03 ('E'(s(s(s(0))), f(suc(X_148))) | 'LE'(f(X_148), s(s(s(0))))),
% 8.88/9.03 inference(subst, [], [refute_0_99 : [bind(X_147, $fot(X_148))]])).
% 8.88/9.03
% 8.88/9.03 cnf(refute_0_101, plain,
% 8.88/9.03 (~ 'E'(s(s(s(0))), f(X_148)) | 'E'(f(X_148), f(suc(X_148))) |
% 8.88/9.03 'LE'(f(X_148), s(s(s(0)))) | iLEQ(suc(X_148), suc(X_148))),
% 8.88/9.03 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(X_148))))],
% 8.88/9.03 [refute_0_100, refute_0_70])).
% 8.88/9.03
% 8.88/9.03 cnf(refute_0_102, plain,
% 8.88/9.03 (~ 'E'(s(s(s(0))), f(X_150)) | 'E'(f(X_150), f(suc(X_150))) |
% 8.88/9.03 'LE'(f(X_150), s(s(s(0)))) | iLEQ(suc(X_150), suc(X_150))),
% 8.88/9.03 inference(subst, [], [refute_0_101 : [bind(X_148, $fot(X_150))]])).
% 8.88/9.03
% 8.88/9.03 cnf(refute_0_103, plain,
% 8.88/9.03 ('E'(f(X_150), f(suc(X_150))) | 'E'(s(s(0)), f(X_150)) |
% 8.88/9.03 'LE'(f(X_150), s(s(0))) | 'LE'(f(X_150), s(s(s(0)))) |
% 8.88/9.03 iLEQ(suc(X_150), suc(X_150))),
% 8.88/9.03 inference(resolve, [$cnf('E'(s(s(s(0))), f(X_150)))],
% 8.88/9.03 [refute_0_69, refute_0_102])).
% 8.88/9.03
% 8.88/9.03 cnf(refute_0_104, plain,
% 8.88/9.03 ('E'(f(X_231), f(suc(X_231))) | 'E'(s(s(0)), f(X_231)) |
% 8.88/9.03 'LE'(f(X_231), s(s(0))) | 'LE'(f(X_231), s(s(s(0)))) |
% 8.88/9.03 iLEQ(suc(X_231), suc(X_231))),
% 8.88/9.03 inference(subst, [], [refute_0_103 : [bind(X_150, $fot(X_231))]])).
% 8.88/9.03
% 8.88/9.03 cnf(refute_0_105, plain,
% 8.88/9.03 ('E'(f(X_231), f(suc(X_231))) | 'E'(s(s(0)), f(X_231)) |
% 8.88/9.03 'LE'(f(X_231), s(s(0))) | iLEQ(suc(X_231), suc(X_231))),
% 8.88/9.03 inference(resolve, [$cnf('LE'(f(X_231), s(s(s(0)))))],
% 8.88/9.03 [refute_0_104, refute_0_6])).
% 8.88/9.03
% 8.88/9.03 cnf(refute_0_106, plain,
% 8.88/9.03 ('E'(f(X_248), f(suc(X_248))) | 'E'(s(s(0)), f(X_248)) |
% 8.88/9.03 'LE'(f(X_248), s(s(0))) | iLEQ(suc(X_248), suc(X_248))),
% 8.88/9.03 inference(subst, [], [refute_0_105 : [bind(X_231, $fot(X_248))]])).
% 8.88/9.03
% 8.88/9.03 cnf(refute_0_107, plain,
% 8.88/9.03 ('E'(s(s(0)), f(X_212)) | 'E'(s(s(s(0))), f(X_212)) |
% 8.88/9.03 'LE'(f(X_212), s(s(0)))),
% 8.88/9.03 inference(subst, [], [refute_0_68 : [bind(X_116, $fot(X_212))]])).
% 8.88/9.03
% 8.88/9.03 cnf(refute_0_108, plain,
% 8.88/9.03 ('E'(s(s(s(0))), f(suc(X_211))) | 'LE'(f(X_211), s(s(s(0))))),
% 8.88/9.03 inference(subst, [], [refute_0_99 : [bind(X_147, $fot(X_211))]])).
% 8.88/9.03
% 8.88/9.03 cnf(refute_0_109, plain,
% 8.88/9.03 (~ 'E'(f(X_181), f(suc(X_181))) | ~ 'E'(s(s(s(0))), f(X_181)) |
% 8.88/9.03 ~ 'E'(s(s(s(0))), f(suc(X_181))) |
% 8.88/9.03 ~ 'E'(s(s(s(0))), f(suc(suc(X_181)))) | iLEQ(suc(X_181), suc(X_181))),
% 8.88/9.03 inference(subst, [], [clause_190 : [bind(A_2, $fot(X_181))]])).
% 8.88/9.03
% 8.88/9.03 cnf(refute_0_110, plain,
% 8.88/9.03 (~ 'LE'(f(suc(suc(X_180))), s(s(s(s(0))))) |
% 8.88/9.03 'E'(s(s(s(0))), f(suc(suc(X_180)))) | 'LE'(f(X_180), s(s(s(0))))),
% 8.88/9.03 inference(subst, [], [clause_52 : [bind(B_11, $fot(X_180))]])).
% 8.88/9.03
% 8.88/9.03 cnf(refute_0_111, plain,
% 8.88/9.03 (~ 'LE'(f(suc(suc(X_175))), s(s(s(s(0))))) |
% 8.88/9.03 'E'(s(s(s(0))), f(suc(suc(X_175)))) | 'LE'(f(X_175), s(s(s(0))))),
% 8.88/9.03 inference(subst, [], [clause_52 : [bind(B_11, $fot(X_175))]])).
% 8.88/9.03
% 8.88/9.03 cnf(refute_0_112, plain,
% 8.88/9.03 ('E'(s(s(s(s(0)))), f(suc(suc(X_17)))) |
% 8.88/9.03 'LE'(f(suc(suc(X_17))), s(s(s(s(0)))))),
% 8.88/9.03 inference(subst, [],
% 8.88/9.03 [refute_0_12 : [bind(B_5, $fot(suc(suc(X_17))))]])).
% 8.88/9.03
% 8.88/9.03 cnf(refute_0_113, plain,
% 8.88/9.03 (~ 'LE'(f(suc(suc(X_17))), s(s(s(s(0))))) |
% 8.88/9.03 'E'(s(s(s(0))), f(suc(suc(X_17)))) | 'LE'(f(X_17), s(s(s(0))))),
% 8.88/9.03 inference(subst, [], [clause_52 : [bind(B_11, $fot(X_17))]])).
% 8.88/9.03
% 8.88/9.03 cnf(refute_0_114, plain,
% 8.88/9.03 ('E'(s(s(s(0))), f(suc(suc(X_17)))) |
% 8.88/9.03 'E'(s(s(s(s(0)))), f(suc(suc(X_17)))) | 'LE'(f(X_17), s(s(s(0))))),
% 8.88/9.03 inference(resolve, [$cnf('LE'(f(suc(suc(X_17))), s(s(s(s(0))))))],
% 8.88/9.03 [refute_0_112, refute_0_113])).
% 8.88/9.03
% 8.88/9.03 cnf(refute_0_115, plain,
% 8.88/9.03 ('E'(s(s(s(0))), f(suc(suc(X_174)))) |
% 8.88/9.03 'E'(s(s(s(s(0)))), f(suc(suc(X_174)))) | 'LE'(f(X_174), s(s(s(0))))),
% 8.88/9.03 inference(subst, [], [refute_0_114 : [bind(X_17, $fot(X_174))]])).
% 8.88/9.03
% 8.88/9.03 cnf(refute_0_116, plain,
% 8.88/9.03 (~ 'E'(f(suc(suc(X_129))), f(suc(suc(suc(X_129))))) |
% 8.88/9.03 ~ 'E'(s(s(s(s(0)))), f(suc(suc(X_129)))) |
% 8.88/9.03 'LE'(f(suc(suc(X_129))), s(s(s(s(0))))) |
% 8.88/9.03 iLEQ(suc(suc(suc(X_129))), suc(suc(suc(X_129))))),
% 8.88/9.03 inference(subst, [],
% 8.88/9.03 [refute_0_35 : [bind(X_59, $fot(suc(suc(X_129))))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_117, plain,
% 8.88/9.04 (~ 'E'(s(s(s(s(0)))), f(suc(suc(X_17)))) |
% 8.88/9.04 'E'(f(suc(suc(X_17))), f(suc(suc(suc(X_17))))) |
% 8.88/9.04 'LE'(f(suc(suc(X_17))), s(s(s(s(0))))) |
% 8.88/9.04 iLEQ(suc(suc(suc(X_17))), suc(suc(suc(X_17))))),
% 8.88/9.04 inference(subst, [],
% 8.88/9.04 [refute_0_21 : [bind(X_26, $fot(suc(suc(X_17))))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_118, plain,
% 8.88/9.04 ('E'(f(suc(suc(X_17))), f(suc(suc(suc(X_17))))) |
% 8.88/9.04 'E'(s(s(s(0))), f(suc(suc(X_17)))) | 'LE'(f(X_17), s(s(s(0)))) |
% 8.88/9.04 'LE'(f(suc(suc(X_17))), s(s(s(s(0))))) |
% 8.88/9.04 iLEQ(suc(suc(suc(X_17))), suc(suc(suc(X_17))))),
% 8.88/9.04 inference(resolve, [$cnf('E'(s(s(s(s(0)))), f(suc(suc(X_17)))))],
% 8.88/9.04 [refute_0_114, refute_0_117])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_119, plain,
% 8.88/9.04 ('E'(f(suc(suc(X_129))), f(suc(suc(suc(X_129))))) |
% 8.88/9.04 'E'(s(s(s(0))), f(suc(suc(X_129)))) | 'LE'(f(X_129), s(s(s(0)))) |
% 8.88/9.04 'LE'(f(suc(suc(X_129))), s(s(s(s(0))))) |
% 8.88/9.04 iLEQ(suc(suc(suc(X_129))), suc(suc(suc(X_129))))),
% 8.88/9.04 inference(subst, [], [refute_0_118 : [bind(X_17, $fot(X_129))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_120, plain,
% 8.88/9.04 (~ 'E'(s(s(s(s(0)))), f(suc(suc(X_129)))) |
% 8.88/9.04 'E'(s(s(s(0))), f(suc(suc(X_129)))) | 'LE'(f(X_129), s(s(s(0)))) |
% 8.88/9.04 'LE'(f(suc(suc(X_129))), s(s(s(s(0))))) |
% 8.88/9.04 iLEQ(suc(suc(suc(X_129))), suc(suc(suc(X_129))))),
% 8.88/9.04 inference(resolve,
% 8.88/9.04 [$cnf('E'(f(suc(suc(X_129))), f(suc(suc(suc(X_129))))))],
% 8.88/9.04 [refute_0_119, refute_0_116])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_121, plain,
% 8.88/9.04 (~ 'E'(s(s(s(s(0)))), f(suc(suc(X_174)))) |
% 8.88/9.04 'E'(s(s(s(0))), f(suc(suc(X_174)))) | 'LE'(f(X_174), s(s(s(0)))) |
% 8.88/9.04 'LE'(f(suc(suc(X_174))), s(s(s(s(0))))) |
% 8.88/9.04 iLEQ(suc(suc(suc(X_174))), suc(suc(suc(X_174))))),
% 8.88/9.04 inference(subst, [], [refute_0_120 : [bind(X_129, $fot(X_174))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_122, plain,
% 8.88/9.04 ('E'(s(s(s(0))), f(suc(suc(X_174)))) | 'LE'(f(X_174), s(s(s(0)))) |
% 8.88/9.04 'LE'(f(suc(suc(X_174))), s(s(s(s(0))))) |
% 8.88/9.04 iLEQ(suc(suc(suc(X_174))), suc(suc(suc(X_174))))),
% 8.88/9.04 inference(resolve, [$cnf('E'(s(s(s(s(0)))), f(suc(suc(X_174)))))],
% 8.88/9.04 [refute_0_115, refute_0_121])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_123, plain,
% 8.88/9.04 ('E'(s(s(s(0))), f(suc(suc(X_175)))) | 'LE'(f(X_175), s(s(s(0)))) |
% 8.88/9.04 'LE'(f(suc(suc(X_175))), s(s(s(s(0))))) |
% 8.88/9.04 iLEQ(suc(suc(suc(X_175))), suc(suc(suc(X_175))))),
% 8.88/9.04 inference(subst, [], [refute_0_122 : [bind(X_174, $fot(X_175))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_124, plain,
% 8.88/9.04 ('E'(s(s(s(0))), f(suc(suc(X_175)))) | 'LE'(f(X_175), s(s(s(0)))) |
% 8.88/9.04 iLEQ(suc(suc(suc(X_175))), suc(suc(suc(X_175))))),
% 8.88/9.04 inference(resolve, [$cnf('LE'(f(suc(suc(X_175))), s(s(s(s(0))))))],
% 8.88/9.04 [refute_0_123, refute_0_111])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_125, plain,
% 8.88/9.04 ('E'(s(s(s(0))), f(suc(suc(X_179)))) | 'LE'(f(X_179), s(s(s(0)))) |
% 8.88/9.04 iLEQ(suc(suc(suc(X_179))), suc(suc(suc(X_179))))),
% 8.88/9.04 inference(subst, [], [refute_0_124 : [bind(X_175, $fot(X_179))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_126, plain,
% 8.88/9.04 (~ 'E'(f(suc(suc(X_17))), f(suc(suc(suc(X_17))))) |
% 8.88/9.04 ~ 'E'(s(s(s(s(0)))), f(suc(suc(X_17)))) |
% 8.88/9.04 ~ iLEQ(suc(suc(suc(X_17))), suc(suc(suc(X_17)))) |
% 8.88/9.04 'LE'(f(suc(suc(X_17))), s(s(s(s(0)))))),
% 8.88/9.04 inference(subst, [],
% 8.88/9.04 [refute_0_49 : [bind(X_54, $fot(suc(suc(X_17))))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_127, plain,
% 8.88/9.04 (~ 'E'(f(suc(suc(X_17))), f(suc(suc(suc(X_17))))) |
% 8.88/9.04 ~ iLEQ(suc(suc(suc(X_17))), suc(suc(suc(X_17)))) |
% 8.88/9.04 'E'(s(s(s(0))), f(suc(suc(X_17)))) | 'LE'(f(X_17), s(s(s(0)))) |
% 8.88/9.04 'LE'(f(suc(suc(X_17))), s(s(s(s(0)))))),
% 8.88/9.04 inference(resolve, [$cnf('E'(s(s(s(s(0)))), f(suc(suc(X_17)))))],
% 8.88/9.04 [refute_0_114, refute_0_126])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_128, plain,
% 8.88/9.04 (~ 'E'(f(suc(suc(X_177))), f(suc(suc(suc(X_177))))) |
% 8.88/9.04 ~ iLEQ(suc(suc(suc(X_177))), suc(suc(suc(X_177)))) |
% 8.88/9.04 'E'(s(s(s(0))), f(suc(suc(X_177)))) | 'LE'(f(X_177), s(s(s(0)))) |
% 8.88/9.04 'LE'(f(suc(suc(X_177))), s(s(s(s(0)))))),
% 8.88/9.04 inference(subst, [], [refute_0_127 : [bind(X_17, $fot(X_177))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_129, plain,
% 8.88/9.04 (~ 'E'(s(s(s(s(0)))), f(suc(suc(X_17)))) |
% 8.88/9.04 ~ iLEQ(suc(suc(suc(X_17))), suc(suc(suc(X_17)))) |
% 8.88/9.04 'E'(f(suc(suc(X_17))), f(suc(suc(suc(X_17))))) |
% 8.88/9.04 'LE'(f(suc(suc(X_17))), s(s(s(s(0)))))),
% 8.88/9.04 inference(subst, [],
% 8.88/9.04 [refute_0_56 : [bind(X_27, $fot(suc(suc(X_17))))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_130, plain,
% 8.88/9.04 (~ iLEQ(suc(suc(suc(X_17))), suc(suc(suc(X_17)))) |
% 8.88/9.04 'E'(f(suc(suc(X_17))), f(suc(suc(suc(X_17))))) |
% 8.88/9.04 'E'(s(s(s(0))), f(suc(suc(X_17)))) | 'LE'(f(X_17), s(s(s(0)))) |
% 8.88/9.04 'LE'(f(suc(suc(X_17))), s(s(s(s(0)))))),
% 8.88/9.04 inference(resolve, [$cnf('E'(s(s(s(s(0)))), f(suc(suc(X_17)))))],
% 8.88/9.04 [refute_0_114, refute_0_129])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_131, plain,
% 8.88/9.04 (~ iLEQ(suc(suc(suc(X_175))), suc(suc(suc(X_175)))) |
% 8.88/9.04 'E'(f(suc(suc(X_175))), f(suc(suc(suc(X_175))))) |
% 8.88/9.04 'E'(s(s(s(0))), f(suc(suc(X_175)))) | 'LE'(f(X_175), s(s(s(0)))) |
% 8.88/9.04 'LE'(f(suc(suc(X_175))), s(s(s(s(0)))))),
% 8.88/9.04 inference(subst, [], [refute_0_130 : [bind(X_17, $fot(X_175))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_132, plain,
% 8.88/9.04 ('E'(f(suc(suc(X_175))), f(suc(suc(suc(X_175))))) |
% 8.88/9.04 'E'(s(s(s(0))), f(suc(suc(X_175)))) | 'LE'(f(X_175), s(s(s(0)))) |
% 8.88/9.04 'LE'(f(suc(suc(X_175))), s(s(s(s(0)))))),
% 8.88/9.04 inference(resolve,
% 8.88/9.04 [$cnf(iLEQ(suc(suc(suc(X_175))), suc(suc(suc(X_175)))))],
% 8.88/9.04 [refute_0_123, refute_0_131])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_133, plain,
% 8.88/9.04 ('E'(f(suc(suc(X_177))), f(suc(suc(suc(X_177))))) |
% 8.88/9.04 'E'(s(s(s(0))), f(suc(suc(X_177)))) | 'LE'(f(X_177), s(s(s(0)))) |
% 8.88/9.04 'LE'(f(suc(suc(X_177))), s(s(s(s(0)))))),
% 8.88/9.04 inference(subst, [], [refute_0_132 : [bind(X_175, $fot(X_177))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_134, plain,
% 8.88/9.04 (~ iLEQ(suc(suc(suc(X_177))), suc(suc(suc(X_177)))) |
% 8.88/9.04 'E'(s(s(s(0))), f(suc(suc(X_177)))) | 'LE'(f(X_177), s(s(s(0)))) |
% 8.88/9.04 'LE'(f(suc(suc(X_177))), s(s(s(s(0)))))),
% 8.88/9.04 inference(resolve,
% 8.88/9.04 [$cnf('E'(f(suc(suc(X_177))), f(suc(suc(suc(X_177))))))],
% 8.88/9.04 [refute_0_133, refute_0_128])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_135, plain,
% 8.88/9.04 (~ iLEQ(suc(suc(suc(X_179))), suc(suc(suc(X_179)))) |
% 8.88/9.04 'E'(s(s(s(0))), f(suc(suc(X_179)))) | 'LE'(f(X_179), s(s(s(0)))) |
% 8.88/9.04 'LE'(f(suc(suc(X_179))), s(s(s(s(0)))))),
% 8.88/9.04 inference(subst, [], [refute_0_134 : [bind(X_177, $fot(X_179))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_136, plain,
% 8.88/9.04 ('E'(s(s(s(0))), f(suc(suc(X_179)))) | 'LE'(f(X_179), s(s(s(0)))) |
% 8.88/9.04 'LE'(f(suc(suc(X_179))), s(s(s(s(0)))))),
% 8.88/9.04 inference(resolve,
% 8.88/9.04 [$cnf(iLEQ(suc(suc(suc(X_179))), suc(suc(suc(X_179)))))],
% 8.88/9.04 [refute_0_125, refute_0_135])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_137, plain,
% 8.88/9.04 ('E'(s(s(s(0))), f(suc(suc(X_180)))) | 'LE'(f(X_180), s(s(s(0)))) |
% 8.88/9.04 'LE'(f(suc(suc(X_180))), s(s(s(s(0)))))),
% 8.88/9.04 inference(subst, [], [refute_0_136 : [bind(X_179, $fot(X_180))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_138, plain,
% 8.88/9.04 ('E'(s(s(s(0))), f(suc(suc(X_180)))) | 'LE'(f(X_180), s(s(s(0))))),
% 8.88/9.04 inference(resolve, [$cnf('LE'(f(suc(suc(X_180))), s(s(s(s(0))))))],
% 8.88/9.04 [refute_0_137, refute_0_110])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_139, plain,
% 8.88/9.04 ('E'(s(s(s(0))), f(suc(suc(X_181)))) | 'LE'(f(X_181), s(s(s(0))))),
% 8.88/9.04 inference(subst, [], [refute_0_138 : [bind(X_180, $fot(X_181))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_140, plain,
% 8.88/9.04 (~ 'E'(f(X_181), f(suc(X_181))) | ~ 'E'(s(s(s(0))), f(X_181)) |
% 8.88/9.04 ~ 'E'(s(s(s(0))), f(suc(X_181))) | 'LE'(f(X_181), s(s(s(0)))) |
% 8.88/9.04 iLEQ(suc(X_181), suc(X_181))),
% 8.88/9.04 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(suc(X_181)))))],
% 8.88/9.04 [refute_0_139, refute_0_109])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_141, plain,
% 8.88/9.04 (~ 'E'(f(X_211), f(suc(X_211))) | ~ 'E'(s(s(s(0))), f(X_211)) |
% 8.88/9.04 ~ 'E'(s(s(s(0))), f(suc(X_211))) | 'LE'(f(X_211), s(s(s(0)))) |
% 8.88/9.04 iLEQ(suc(X_211), suc(X_211))),
% 8.88/9.04 inference(subst, [], [refute_0_140 : [bind(X_181, $fot(X_211))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_142, plain,
% 8.88/9.04 (~ 'E'(f(X_211), f(suc(X_211))) | ~ 'E'(s(s(s(0))), f(X_211)) |
% 8.88/9.04 'LE'(f(X_211), s(s(s(0)))) | iLEQ(suc(X_211), suc(X_211))),
% 8.88/9.04 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(X_211))))],
% 8.88/9.04 [refute_0_108, refute_0_141])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_143, plain,
% 8.88/9.04 (~ 'E'(f(X_212), f(suc(X_212))) | ~ 'E'(s(s(s(0))), f(X_212)) |
% 8.88/9.04 'LE'(f(X_212), s(s(s(0)))) | iLEQ(suc(X_212), suc(X_212))),
% 8.88/9.04 inference(subst, [], [refute_0_142 : [bind(X_211, $fot(X_212))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_144, plain,
% 8.88/9.04 (~ 'E'(f(X_212), f(suc(X_212))) | 'E'(s(s(0)), f(X_212)) |
% 8.88/9.04 'LE'(f(X_212), s(s(0))) | 'LE'(f(X_212), s(s(s(0)))) |
% 8.88/9.04 iLEQ(suc(X_212), suc(X_212))),
% 8.88/9.04 inference(resolve, [$cnf('E'(s(s(s(0))), f(X_212)))],
% 8.88/9.04 [refute_0_107, refute_0_143])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_145, plain,
% 8.88/9.04 (~ 'E'(f(X_248), f(suc(X_248))) | 'E'(s(s(0)), f(X_248)) |
% 8.88/9.04 'LE'(f(X_248), s(s(0))) | 'LE'(f(X_248), s(s(s(0)))) |
% 8.88/9.04 iLEQ(suc(X_248), suc(X_248))),
% 8.88/9.04 inference(subst, [], [refute_0_144 : [bind(X_212, $fot(X_248))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_146, plain,
% 8.88/9.04 ('E'(s(s(0)), f(X_248)) | 'LE'(f(X_248), s(s(0))) |
% 8.88/9.04 'LE'(f(X_248), s(s(s(0)))) | iLEQ(suc(X_248), suc(X_248))),
% 8.88/9.04 inference(resolve, [$cnf('E'(f(X_248), f(suc(X_248))))],
% 8.88/9.04 [refute_0_106, refute_0_145])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_147, plain,
% 8.88/9.04 ('E'(s(s(0)), f(X_249)) | 'LE'(f(X_249), s(s(0))) |
% 8.88/9.04 'LE'(f(X_249), s(s(s(0)))) | iLEQ(suc(X_249), suc(X_249))),
% 8.88/9.04 inference(subst, [], [refute_0_146 : [bind(X_248, $fot(X_249))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_148, plain,
% 8.88/9.04 ('E'(s(s(0)), f(X_249)) | 'LE'(f(X_249), s(s(0))) |
% 8.88/9.04 iLEQ(suc(X_249), suc(X_249))),
% 8.88/9.04 inference(resolve, [$cnf('LE'(f(X_249), s(s(s(0)))))],
% 8.88/9.04 [refute_0_147, refute_0_5])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_149, plain,
% 8.88/9.04 ('E'(s(s(0)), f(X_265)) | 'LE'(f(X_265), s(s(0))) |
% 8.88/9.04 iLEQ(suc(X_265), suc(X_265))),
% 8.88/9.04 inference(subst, [], [refute_0_148 : [bind(X_249, $fot(X_265))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_150, plain,
% 8.88/9.04 (~ 'LE'(f(X_251), s(s(s(0)))) | 'E'(s(s(0)), f(X_251)) |
% 8.88/9.04 'LE'(f(X_251), s(s(0)))),
% 8.88/9.04 inference(subst, [], [clause_125 : [bind(B_16, $fot(X_251))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_151, plain,
% 8.88/9.04 ('E'(s(s(0)), f(X_149)) | 'E'(s(s(s(0))), f(X_149)) |
% 8.88/9.04 'LE'(f(X_149), s(s(0)))),
% 8.88/9.04 inference(subst, [], [refute_0_68 : [bind(X_116, $fot(X_149))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_152, plain,
% 8.88/9.04 (~ 'E'(s(s(s(0))), f(X_148)) | ~ 'E'(s(s(s(0))), f(suc(X_148))) |
% 8.88/9.04 ~ iLEQ(suc(X_148), suc(X_148)) | 'E'(f(X_148), f(suc(X_148)))),
% 8.88/9.04 inference(subst, [],
% 8.88/9.04 [clause_49 :
% 8.88/9.04 [bind(A_2, $fot(X_148)), bind(B_12, $fot(X_148))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_153, plain,
% 8.88/9.04 (~ 'E'(s(s(s(0))), f(X_148)) | ~ iLEQ(suc(X_148), suc(X_148)) |
% 8.88/9.04 'E'(f(X_148), f(suc(X_148))) | 'LE'(f(X_148), s(s(s(0))))),
% 8.88/9.04 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(X_148))))],
% 8.88/9.04 [refute_0_100, refute_0_152])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_154, plain,
% 8.88/9.04 (~ 'E'(s(s(s(0))), f(X_149)) | ~ iLEQ(suc(X_149), suc(X_149)) |
% 8.88/9.04 'E'(f(X_149), f(suc(X_149))) | 'LE'(f(X_149), s(s(s(0))))),
% 8.88/9.04 inference(subst, [], [refute_0_153 : [bind(X_148, $fot(X_149))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_155, plain,
% 8.88/9.04 (~ iLEQ(suc(X_149), suc(X_149)) | 'E'(f(X_149), f(suc(X_149))) |
% 8.88/9.04 'E'(s(s(0)), f(X_149)) | 'LE'(f(X_149), s(s(0))) |
% 8.88/9.04 'LE'(f(X_149), s(s(s(0))))),
% 8.88/9.04 inference(resolve, [$cnf('E'(s(s(s(0))), f(X_149)))],
% 8.88/9.04 [refute_0_151, refute_0_154])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_156, plain,
% 8.88/9.04 (~ iLEQ(suc(X_249), suc(X_249)) | 'E'(f(X_249), f(suc(X_249))) |
% 8.88/9.04 'E'(s(s(0)), f(X_249)) | 'LE'(f(X_249), s(s(0))) |
% 8.88/9.04 'LE'(f(X_249), s(s(s(0))))),
% 8.88/9.04 inference(subst, [], [refute_0_155 : [bind(X_149, $fot(X_249))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_157, plain,
% 8.88/9.04 ('E'(f(X_249), f(suc(X_249))) | 'E'(s(s(0)), f(X_249)) |
% 8.88/9.04 'LE'(f(X_249), s(s(0))) | 'LE'(f(X_249), s(s(s(0))))),
% 8.88/9.04 inference(resolve, [$cnf(iLEQ(suc(X_249), suc(X_249)))],
% 8.88/9.04 [refute_0_147, refute_0_156])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_158, plain,
% 8.88/9.04 ('E'(f(X_251), f(suc(X_251))) | 'E'(s(s(0)), f(X_251)) |
% 8.88/9.04 'LE'(f(X_251), s(s(0))) | 'LE'(f(X_251), s(s(s(0))))),
% 8.88/9.04 inference(subst, [], [refute_0_157 : [bind(X_249, $fot(X_251))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_159, plain,
% 8.88/9.04 ('E'(f(X_251), f(suc(X_251))) | 'E'(s(s(0)), f(X_251)) |
% 8.88/9.04 'LE'(f(X_251), s(s(0)))),
% 8.88/9.04 inference(resolve, [$cnf('LE'(f(X_251), s(s(s(0)))))],
% 8.88/9.04 [refute_0_158, refute_0_150])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_160, plain,
% 8.88/9.04 ('E'(f(X_264), f(suc(X_264))) | 'E'(s(s(0)), f(X_264)) |
% 8.88/9.04 'LE'(f(X_264), s(s(0)))),
% 8.88/9.04 inference(subst, [], [refute_0_159 : [bind(X_251, $fot(X_264))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_161, plain,
% 8.88/9.04 ('E'(s(s(0)), f(X_205)) | 'E'(s(s(s(0))), f(X_205)) |
% 8.88/9.04 'LE'(f(X_205), s(s(0)))),
% 8.88/9.04 inference(subst, [], [refute_0_68 : [bind(X_116, $fot(X_205))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_162, plain,
% 8.88/9.04 ('E'(s(s(s(0))), f(suc(X_204))) | 'LE'(f(X_204), s(s(s(0))))),
% 8.88/9.04 inference(subst, [], [refute_0_99 : [bind(X_147, $fot(X_204))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_163, plain,
% 8.88/9.04 (~ 'E'(f(X_181), f(suc(X_181))) | ~ 'E'(s(s(s(0))), f(X_181)) |
% 8.88/9.04 ~ 'E'(s(s(s(0))), f(suc(X_181))) |
% 8.88/9.04 ~ 'E'(s(s(s(0))), f(suc(suc(X_181)))) |
% 8.88/9.04 ~ iLEQ(suc(X_181), suc(X_181))),
% 8.88/9.04 inference(subst, [],
% 8.88/9.04 [clause_73 :
% 8.88/9.04 [bind(A_2, $fot(X_181)), bind(B_12, $fot(X_181))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_164, plain,
% 8.88/9.04 (~ 'E'(f(X_181), f(suc(X_181))) | ~ 'E'(s(s(s(0))), f(X_181)) |
% 8.88/9.04 ~ 'E'(s(s(s(0))), f(suc(X_181))) | ~ iLEQ(suc(X_181), suc(X_181)) |
% 8.88/9.04 'LE'(f(X_181), s(s(s(0))))),
% 8.88/9.04 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(suc(X_181)))))],
% 8.88/9.04 [refute_0_139, refute_0_163])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_165, plain,
% 8.88/9.04 (~ 'E'(f(X_204), f(suc(X_204))) | ~ 'E'(s(s(s(0))), f(X_204)) |
% 8.88/9.04 ~ 'E'(s(s(s(0))), f(suc(X_204))) | ~ iLEQ(suc(X_204), suc(X_204)) |
% 8.88/9.04 'LE'(f(X_204), s(s(s(0))))),
% 8.88/9.04 inference(subst, [], [refute_0_164 : [bind(X_181, $fot(X_204))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_166, plain,
% 8.88/9.04 (~ 'E'(f(X_204), f(suc(X_204))) | ~ 'E'(s(s(s(0))), f(X_204)) |
% 8.88/9.04 ~ iLEQ(suc(X_204), suc(X_204)) | 'LE'(f(X_204), s(s(s(0))))),
% 8.88/9.04 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(X_204))))],
% 8.88/9.04 [refute_0_162, refute_0_165])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_167, plain,
% 8.88/9.04 (~ 'E'(f(X_205), f(suc(X_205))) | ~ 'E'(s(s(s(0))), f(X_205)) |
% 8.88/9.04 ~ iLEQ(suc(X_205), suc(X_205)) | 'LE'(f(X_205), s(s(s(0))))),
% 8.88/9.04 inference(subst, [], [refute_0_166 : [bind(X_204, $fot(X_205))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_168, plain,
% 8.88/9.04 (~ 'E'(f(X_205), f(suc(X_205))) | ~ iLEQ(suc(X_205), suc(X_205)) |
% 8.88/9.04 'E'(s(s(0)), f(X_205)) | 'LE'(f(X_205), s(s(0))) |
% 8.88/9.04 'LE'(f(X_205), s(s(s(0))))),
% 8.88/9.04 inference(resolve, [$cnf('E'(s(s(s(0))), f(X_205)))],
% 8.88/9.04 [refute_0_161, refute_0_167])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_169, plain,
% 8.88/9.04 (~ 'E'(f(X_264), f(suc(X_264))) | ~ iLEQ(suc(X_264), suc(X_264)) |
% 8.88/9.04 'E'(s(s(0)), f(X_264)) | 'LE'(f(X_264), s(s(0))) |
% 8.88/9.04 'LE'(f(X_264), s(s(s(0))))),
% 8.88/9.04 inference(subst, [], [refute_0_168 : [bind(X_205, $fot(X_264))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_170, plain,
% 8.88/9.04 (~ iLEQ(suc(X_264), suc(X_264)) | 'E'(s(s(0)), f(X_264)) |
% 8.88/9.04 'LE'(f(X_264), s(s(0))) | 'LE'(f(X_264), s(s(s(0))))),
% 8.88/9.04 inference(resolve, [$cnf('E'(f(X_264), f(suc(X_264))))],
% 8.88/9.04 [refute_0_160, refute_0_169])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_171, plain,
% 8.88/9.04 (~ iLEQ(suc(X_265), suc(X_265)) | 'E'(s(s(0)), f(X_265)) |
% 8.88/9.04 'LE'(f(X_265), s(s(0))) | 'LE'(f(X_265), s(s(s(0))))),
% 8.88/9.04 inference(subst, [], [refute_0_170 : [bind(X_264, $fot(X_265))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_172, plain,
% 8.88/9.04 ('E'(s(s(0)), f(X_265)) | 'LE'(f(X_265), s(s(0))) |
% 8.88/9.04 'LE'(f(X_265), s(s(s(0))))),
% 8.88/9.04 inference(resolve, [$cnf(iLEQ(suc(X_265), suc(X_265)))],
% 8.88/9.04 [refute_0_149, refute_0_171])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_173, plain,
% 8.88/9.04 ('E'(s(s(0)), f(X_266)) | 'LE'(f(X_266), s(s(0))) |
% 8.88/9.04 'LE'(f(X_266), s(s(s(0))))),
% 8.88/9.04 inference(subst, [], [refute_0_172 : [bind(X_265, $fot(X_266))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_174, plain,
% 8.88/9.04 ('E'(s(s(0)), f(X_266)) | 'LE'(f(X_266), s(s(0)))),
% 8.88/9.04 inference(resolve, [$cnf('LE'(f(X_266), s(s(s(0)))))],
% 8.88/9.04 [refute_0_173, refute_0_4])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_175, plain,
% 8.88/9.04 ('E'(s(s(0)), f(X_267)) | 'LE'(f(X_267), s(s(0)))),
% 8.88/9.04 inference(subst, [], [refute_0_174 : [bind(X_266, $fot(X_267))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_176, plain,
% 8.88/9.04 ('E'(s(0), f(X_267)) | 'E'(s(s(0)), f(X_267)) | 'LE'(f(X_267), s(0))),
% 8.88/9.04 inference(resolve, [$cnf('LE'(f(X_267), s(s(0))))],
% 8.88/9.04 [refute_0_175, refute_0_3])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_177, plain,
% 8.88/9.04 ('E'(s(0), f(X_449)) | 'E'(s(s(0)), f(X_449)) | 'LE'(f(X_449), s(0))),
% 8.88/9.04 inference(subst, [], [refute_0_176 : [bind(X_267, $fot(X_449))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_178, plain,
% 8.88/9.04 (~ 'LE'(f(X_335), s(s(0))) | 'E'(s(0), f(X_335)) |
% 8.88/9.04 'LE'(f(X_335), s(0))),
% 8.88/9.04 inference(subst, [], [clause_184 : [bind(B_20, $fot(X_335))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_179, plain,
% 8.88/9.04 ('E'(s(0), f(X_332)) | 'E'(s(s(0)), f(X_332)) | 'LE'(f(X_332), s(0))),
% 8.88/9.04 inference(subst, [], [refute_0_176 : [bind(X_267, $fot(X_332))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_180, plain,
% 8.88/9.04 (~ 'E'(s(s(0)), f(X_330)) | ~ 'E'(s(s(0)), f(suc(X_330))) |
% 8.88/9.04 'E'(f(X_330), f(suc(X_330))) | iLEQ(suc(X_330), suc(X_330))),
% 8.88/9.04 inference(subst, [], [clause_143 : [bind(A_3, $fot(X_330))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_181, plain,
% 8.88/9.04 (~ 'LE'(f(suc(X_329)), s(s(s(0)))) | 'E'(s(s(0)), f(suc(X_329))) |
% 8.88/9.04 'LE'(f(X_329), s(s(0)))),
% 8.88/9.04 inference(subst, [], [clause_86 : [bind(B_16, $fot(X_329))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_182, plain,
% 8.88/9.04 (~ 'LE'(f(suc(X_301)), s(s(s(0)))) | 'E'(s(s(0)), f(suc(X_301))) |
% 8.88/9.04 'LE'(f(X_301), s(s(0)))),
% 8.88/9.04 inference(subst, [], [clause_86 : [bind(B_16, $fot(X_301))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_183, plain,
% 8.88/9.04 (~ 'LE'(f(suc(X_278)), s(s(s(0)))) | 'E'(s(s(0)), f(suc(X_278))) |
% 8.88/9.04 'LE'(f(X_278), s(s(0)))),
% 8.88/9.04 inference(subst, [], [clause_86 : [bind(B_16, $fot(X_278))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_184, plain,
% 8.88/9.04 ('E'(s(s(s(0))), f(suc(B_16))) | 'LE'(f(suc(B_16)), s(s(s(0))))),
% 8.88/9.04 inference(subst, [], [refute_0_66 : [bind(X_115, $fot(suc(B_16)))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_185, plain,
% 8.88/9.04 ('E'(s(s(0)), f(suc(B_16))) | 'E'(s(s(s(0))), f(suc(B_16))) |
% 8.88/9.04 'LE'(f(B_16), s(s(0)))),
% 8.88/9.04 inference(resolve, [$cnf('LE'(f(suc(B_16)), s(s(s(0)))))],
% 8.88/9.04 [refute_0_184, clause_86])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_186, plain,
% 8.88/9.04 (~ 'E'(s(s(s(0))), f(suc(B_16))) |
% 8.88/9.04 'E'(f(suc(B_16)), f(suc(suc(B_16)))) |
% 8.88/9.04 'LE'(f(suc(B_16)), s(s(s(0)))) |
% 8.88/9.04 iLEQ(suc(suc(B_16)), suc(suc(B_16)))),
% 8.88/9.04 inference(subst, [], [refute_0_101 : [bind(X_148, $fot(suc(B_16)))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_187, plain,
% 8.88/9.04 ('E'(f(suc(B_16)), f(suc(suc(B_16)))) | 'E'(s(s(0)), f(suc(B_16))) |
% 8.88/9.04 'LE'(f(B_16), s(s(0))) | 'LE'(f(suc(B_16)), s(s(s(0)))) |
% 8.88/9.04 iLEQ(suc(suc(B_16)), suc(suc(B_16)))),
% 8.88/9.04 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(B_16))))],
% 8.88/9.04 [refute_0_185, refute_0_186])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_188, plain,
% 8.88/9.04 ('E'(f(suc(X_278)), f(suc(suc(X_278)))) | 'E'(s(s(0)), f(suc(X_278))) |
% 8.88/9.04 'LE'(f(X_278), s(s(0))) | 'LE'(f(suc(X_278)), s(s(s(0)))) |
% 8.88/9.04 iLEQ(suc(suc(X_278)), suc(suc(X_278)))),
% 8.88/9.04 inference(subst, [], [refute_0_187 : [bind(B_16, $fot(X_278))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_189, plain,
% 8.88/9.04 ('E'(f(suc(X_278)), f(suc(suc(X_278)))) | 'E'(s(s(0)), f(suc(X_278))) |
% 8.88/9.04 'LE'(f(X_278), s(s(0))) | iLEQ(suc(suc(X_278)), suc(suc(X_278)))),
% 8.88/9.04 inference(resolve, [$cnf('LE'(f(suc(X_278)), s(s(s(0)))))],
% 8.88/9.04 [refute_0_188, refute_0_183])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_190, plain,
% 8.88/9.04 ('E'(f(suc(X_300)), f(suc(suc(X_300)))) | 'E'(s(s(0)), f(suc(X_300))) |
% 8.88/9.04 'LE'(f(X_300), s(s(0))) | iLEQ(suc(suc(X_300)), suc(suc(X_300)))),
% 8.88/9.04 inference(subst, [], [refute_0_189 : [bind(X_278, $fot(X_300))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_191, plain,
% 8.88/9.04 (~ 'E'(f(suc(B_16)), f(suc(suc(B_16)))) |
% 8.88/9.04 ~ 'E'(s(s(s(0))), f(suc(B_16))) | 'LE'(f(suc(B_16)), s(s(s(0)))) |
% 8.88/9.04 iLEQ(suc(suc(B_16)), suc(suc(B_16)))),
% 8.88/9.04 inference(subst, [], [refute_0_142 : [bind(X_211, $fot(suc(B_16)))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_192, plain,
% 8.88/9.04 (~ 'E'(f(suc(B_16)), f(suc(suc(B_16)))) | 'E'(s(s(0)), f(suc(B_16))) |
% 8.88/9.04 'LE'(f(B_16), s(s(0))) | 'LE'(f(suc(B_16)), s(s(s(0)))) |
% 8.88/9.04 iLEQ(suc(suc(B_16)), suc(suc(B_16)))),
% 8.88/9.04 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(B_16))))],
% 8.88/9.04 [refute_0_185, refute_0_191])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_193, plain,
% 8.88/9.04 (~ 'E'(f(suc(X_300)), f(suc(suc(X_300)))) |
% 8.88/9.04 'E'(s(s(0)), f(suc(X_300))) | 'LE'(f(X_300), s(s(0))) |
% 8.88/9.04 'LE'(f(suc(X_300)), s(s(s(0)))) |
% 8.88/9.04 iLEQ(suc(suc(X_300)), suc(suc(X_300)))),
% 8.88/9.04 inference(subst, [], [refute_0_192 : [bind(B_16, $fot(X_300))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_194, plain,
% 8.88/9.04 ('E'(s(s(0)), f(suc(X_300))) | 'LE'(f(X_300), s(s(0))) |
% 8.88/9.04 'LE'(f(suc(X_300)), s(s(s(0)))) |
% 8.88/9.04 iLEQ(suc(suc(X_300)), suc(suc(X_300)))),
% 8.88/9.04 inference(resolve, [$cnf('E'(f(suc(X_300)), f(suc(suc(X_300)))))],
% 8.88/9.04 [refute_0_190, refute_0_193])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_195, plain,
% 8.88/9.04 ('E'(s(s(0)), f(suc(X_301))) | 'LE'(f(X_301), s(s(0))) |
% 8.88/9.04 'LE'(f(suc(X_301)), s(s(s(0)))) |
% 8.88/9.04 iLEQ(suc(suc(X_301)), suc(suc(X_301)))),
% 8.88/9.04 inference(subst, [], [refute_0_194 : [bind(X_300, $fot(X_301))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_196, plain,
% 8.88/9.04 ('E'(s(s(0)), f(suc(X_301))) | 'LE'(f(X_301), s(s(0))) |
% 8.88/9.04 iLEQ(suc(suc(X_301)), suc(suc(X_301)))),
% 8.88/9.04 inference(resolve, [$cnf('LE'(f(suc(X_301)), s(s(s(0)))))],
% 8.88/9.04 [refute_0_195, refute_0_182])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_197, plain,
% 8.88/9.04 ('E'(s(s(0)), f(suc(X_328))) | 'LE'(f(X_328), s(s(0))) |
% 8.88/9.04 iLEQ(suc(suc(X_328)), suc(suc(X_328)))),
% 8.88/9.04 inference(subst, [], [refute_0_196 : [bind(X_301, $fot(X_328))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_198, plain,
% 8.88/9.04 (~ 'LE'(f(suc(X_303)), s(s(s(0)))) | 'E'(s(s(0)), f(suc(X_303))) |
% 8.88/9.04 'LE'(f(X_303), s(s(0)))),
% 8.88/9.04 inference(subst, [], [clause_86 : [bind(B_16, $fot(X_303))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_199, plain,
% 8.88/9.04 (~ 'E'(s(s(s(0))), f(suc(B_16))) |
% 8.88/9.04 ~ iLEQ(suc(suc(B_16)), suc(suc(B_16))) |
% 8.88/9.04 'E'(f(suc(B_16)), f(suc(suc(B_16)))) |
% 8.88/9.04 'LE'(f(suc(B_16)), s(s(s(0))))),
% 8.88/9.04 inference(subst, [], [refute_0_153 : [bind(X_148, $fot(suc(B_16)))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_200, plain,
% 8.88/9.04 (~ iLEQ(suc(suc(B_16)), suc(suc(B_16))) |
% 8.88/9.04 'E'(f(suc(B_16)), f(suc(suc(B_16)))) | 'E'(s(s(0)), f(suc(B_16))) |
% 8.88/9.04 'LE'(f(B_16), s(s(0))) | 'LE'(f(suc(B_16)), s(s(s(0))))),
% 8.88/9.04 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(B_16))))],
% 8.88/9.04 [refute_0_185, refute_0_199])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_201, plain,
% 8.88/9.04 (~ iLEQ(suc(suc(X_301)), suc(suc(X_301))) |
% 8.88/9.04 'E'(f(suc(X_301)), f(suc(suc(X_301)))) | 'E'(s(s(0)), f(suc(X_301))) |
% 8.88/9.04 'LE'(f(X_301), s(s(0))) | 'LE'(f(suc(X_301)), s(s(s(0))))),
% 8.88/9.04 inference(subst, [], [refute_0_200 : [bind(B_16, $fot(X_301))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_202, plain,
% 8.88/9.04 ('E'(f(suc(X_301)), f(suc(suc(X_301)))) | 'E'(s(s(0)), f(suc(X_301))) |
% 8.88/9.04 'LE'(f(X_301), s(s(0))) | 'LE'(f(suc(X_301)), s(s(s(0))))),
% 8.88/9.04 inference(resolve, [$cnf(iLEQ(suc(suc(X_301)), suc(suc(X_301))))],
% 8.88/9.04 [refute_0_195, refute_0_201])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_203, plain,
% 8.88/9.04 ('E'(f(suc(X_303)), f(suc(suc(X_303)))) | 'E'(s(s(0)), f(suc(X_303))) |
% 8.88/9.04 'LE'(f(X_303), s(s(0))) | 'LE'(f(suc(X_303)), s(s(s(0))))),
% 8.88/9.04 inference(subst, [], [refute_0_202 : [bind(X_301, $fot(X_303))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_204, plain,
% 8.88/9.04 ('E'(f(suc(X_303)), f(suc(suc(X_303)))) | 'E'(s(s(0)), f(suc(X_303))) |
% 8.88/9.04 'LE'(f(X_303), s(s(0)))),
% 8.88/9.04 inference(resolve, [$cnf('LE'(f(suc(X_303)), s(s(s(0)))))],
% 8.88/9.04 [refute_0_203, refute_0_198])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_205, plain,
% 8.88/9.04 ('E'(f(suc(X_327)), f(suc(suc(X_327)))) | 'E'(s(s(0)), f(suc(X_327))) |
% 8.88/9.04 'LE'(f(X_327), s(s(0)))),
% 8.88/9.04 inference(subst, [], [refute_0_204 : [bind(X_303, $fot(X_327))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_206, plain,
% 8.88/9.04 (~ 'E'(f(suc(B_16)), f(suc(suc(B_16)))) |
% 8.88/9.04 ~ 'E'(s(s(s(0))), f(suc(B_16))) |
% 8.88/9.04 ~ iLEQ(suc(suc(B_16)), suc(suc(B_16))) |
% 8.88/9.04 'LE'(f(suc(B_16)), s(s(s(0))))),
% 8.88/9.04 inference(subst, [], [refute_0_166 : [bind(X_204, $fot(suc(B_16)))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_207, plain,
% 8.88/9.04 (~ 'E'(f(suc(B_16)), f(suc(suc(B_16)))) |
% 8.88/9.04 ~ iLEQ(suc(suc(B_16)), suc(suc(B_16))) | 'E'(s(s(0)), f(suc(B_16))) |
% 8.88/9.04 'LE'(f(B_16), s(s(0))) | 'LE'(f(suc(B_16)), s(s(s(0))))),
% 8.88/9.04 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(B_16))))],
% 8.88/9.04 [refute_0_185, refute_0_206])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_208, plain,
% 8.88/9.04 (~ 'E'(f(suc(X_327)), f(suc(suc(X_327)))) |
% 8.88/9.04 ~ iLEQ(suc(suc(X_327)), suc(suc(X_327))) |
% 8.88/9.04 'E'(s(s(0)), f(suc(X_327))) | 'LE'(f(X_327), s(s(0))) |
% 8.88/9.04 'LE'(f(suc(X_327)), s(s(s(0))))),
% 8.88/9.04 inference(subst, [], [refute_0_207 : [bind(B_16, $fot(X_327))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_209, plain,
% 8.88/9.04 (~ iLEQ(suc(suc(X_327)), suc(suc(X_327))) |
% 8.88/9.04 'E'(s(s(0)), f(suc(X_327))) | 'LE'(f(X_327), s(s(0))) |
% 8.88/9.04 'LE'(f(suc(X_327)), s(s(s(0))))),
% 8.88/9.04 inference(resolve, [$cnf('E'(f(suc(X_327)), f(suc(suc(X_327)))))],
% 8.88/9.04 [refute_0_205, refute_0_208])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_210, plain,
% 8.88/9.04 (~ iLEQ(suc(suc(X_328)), suc(suc(X_328))) |
% 8.88/9.04 'E'(s(s(0)), f(suc(X_328))) | 'LE'(f(X_328), s(s(0))) |
% 8.88/9.04 'LE'(f(suc(X_328)), s(s(s(0))))),
% 8.88/9.04 inference(subst, [], [refute_0_209 : [bind(X_327, $fot(X_328))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_211, plain,
% 8.88/9.04 ('E'(s(s(0)), f(suc(X_328))) | 'LE'(f(X_328), s(s(0))) |
% 8.88/9.04 'LE'(f(suc(X_328)), s(s(s(0))))),
% 8.88/9.04 inference(resolve, [$cnf(iLEQ(suc(suc(X_328)), suc(suc(X_328))))],
% 8.88/9.04 [refute_0_197, refute_0_210])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_212, plain,
% 8.88/9.04 ('E'(s(s(0)), f(suc(X_329))) | 'LE'(f(X_329), s(s(0))) |
% 8.88/9.04 'LE'(f(suc(X_329)), s(s(s(0))))),
% 8.88/9.04 inference(subst, [], [refute_0_211 : [bind(X_328, $fot(X_329))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_213, plain,
% 8.88/9.04 ('E'(s(s(0)), f(suc(X_329))) | 'LE'(f(X_329), s(s(0)))),
% 8.88/9.04 inference(resolve, [$cnf('LE'(f(suc(X_329)), s(s(s(0)))))],
% 8.88/9.04 [refute_0_212, refute_0_181])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_214, plain,
% 8.88/9.04 ('E'(s(s(0)), f(suc(X_330))) | 'LE'(f(X_330), s(s(0)))),
% 8.88/9.04 inference(subst, [], [refute_0_213 : [bind(X_329, $fot(X_330))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_215, plain,
% 8.88/9.04 (~ 'E'(s(s(0)), f(X_330)) | 'E'(f(X_330), f(suc(X_330))) |
% 8.88/9.04 'LE'(f(X_330), s(s(0))) | iLEQ(suc(X_330), suc(X_330))),
% 8.88/9.04 inference(resolve, [$cnf('E'(s(s(0)), f(suc(X_330))))],
% 8.88/9.04 [refute_0_214, refute_0_180])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_216, plain,
% 8.88/9.04 (~ 'E'(s(s(0)), f(X_332)) | 'E'(f(X_332), f(suc(X_332))) |
% 8.88/9.04 'LE'(f(X_332), s(s(0))) | iLEQ(suc(X_332), suc(X_332))),
% 8.88/9.04 inference(subst, [], [refute_0_215 : [bind(X_330, $fot(X_332))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_217, plain,
% 8.88/9.04 ('E'(f(X_332), f(suc(X_332))) | 'E'(s(0), f(X_332)) |
% 8.88/9.04 'LE'(f(X_332), s(0)) | 'LE'(f(X_332), s(s(0))) |
% 8.88/9.04 iLEQ(suc(X_332), suc(X_332))),
% 8.88/9.04 inference(resolve, [$cnf('E'(s(s(0)), f(X_332)))],
% 8.88/9.04 [refute_0_179, refute_0_216])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_218, plain,
% 8.88/9.04 ('E'(f(X_335), f(suc(X_335))) | 'E'(s(0), f(X_335)) |
% 8.88/9.04 'LE'(f(X_335), s(0)) | 'LE'(f(X_335), s(s(0))) |
% 8.88/9.04 iLEQ(suc(X_335), suc(X_335))),
% 8.88/9.04 inference(subst, [], [refute_0_217 : [bind(X_332, $fot(X_335))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_219, plain,
% 8.88/9.04 ('E'(f(X_335), f(suc(X_335))) | 'E'(s(0), f(X_335)) |
% 8.88/9.04 'LE'(f(X_335), s(0)) | iLEQ(suc(X_335), suc(X_335))),
% 8.88/9.04 inference(resolve, [$cnf('LE'(f(X_335), s(s(0))))],
% 8.88/9.04 [refute_0_218, refute_0_178])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_220, plain,
% 8.88/9.04 ('E'(f(X_440), f(suc(X_440))) | 'E'(s(0), f(X_440)) |
% 8.88/9.04 'LE'(f(X_440), s(0)) | iLEQ(suc(X_440), suc(X_440))),
% 8.88/9.04 inference(subst, [], [refute_0_219 : [bind(X_335, $fot(X_440))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_221, plain,
% 8.88/9.04 ('E'(s(s(0)), f(suc(X_439))) | 'LE'(f(X_439), s(s(0)))),
% 8.88/9.04 inference(subst, [], [refute_0_213 : [bind(X_329, $fot(X_439))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_222, plain,
% 8.88/9.04 (~ 'E'(f(X_429), f(suc(X_429))) | ~ 'E'(s(s(0)), f(X_429)) |
% 8.88/9.04 ~ 'E'(s(s(0)), f(suc(X_429))) | ~ 'E'(s(s(0)), f(suc(suc(X_429)))) |
% 8.88/9.04 iLEQ(suc(X_429), suc(X_429))),
% 8.88/9.04 inference(subst, [], [clause_40 : [bind(A_3, $fot(X_429))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_223, plain,
% 8.88/9.04 (~ 'LE'(f(suc(suc(X_428))), s(s(s(0)))) |
% 8.88/9.04 'E'(s(s(0)), f(suc(suc(X_428)))) | 'LE'(f(X_428), s(s(0)))),
% 8.88/9.04 inference(subst, [], [clause_97 : [bind(B_16, $fot(X_428))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_224, plain,
% 8.88/9.04 ('E'(s(s(s(0))), f(suc(suc(B_16)))) |
% 8.88/9.04 'LE'(f(suc(suc(B_16))), s(s(s(0))))),
% 8.88/9.04 inference(subst, [],
% 8.88/9.04 [refute_0_66 : [bind(X_115, $fot(suc(suc(B_16))))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_225, plain,
% 8.88/9.04 ('E'(s(s(0)), f(suc(suc(B_16)))) | 'E'(s(s(s(0))), f(suc(suc(B_16)))) |
% 8.88/9.04 'LE'(f(B_16), s(s(0)))),
% 8.88/9.04 inference(resolve, [$cnf('LE'(f(suc(suc(B_16))), s(s(s(0)))))],
% 8.88/9.04 [refute_0_224, clause_97])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_226, plain,
% 8.88/9.04 ('E'(s(s(0)), f(suc(suc(X_427)))) |
% 8.88/9.04 'E'(s(s(s(0))), f(suc(suc(X_427)))) | 'LE'(f(X_427), s(s(0)))),
% 8.88/9.04 inference(subst, [], [refute_0_225 : [bind(B_16, $fot(X_427))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_227, plain,
% 8.88/9.04 ('E'(s(s(0)), f(suc(suc(X_379)))) |
% 8.88/9.04 'E'(s(s(s(0))), f(suc(suc(X_379)))) | 'LE'(f(X_379), s(s(0)))),
% 8.88/9.04 inference(subst, [], [refute_0_225 : [bind(B_16, $fot(X_379))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_228, plain,
% 8.88/9.04 (~ 'E'(f(suc(suc(X_343))), f(suc(suc(suc(X_343))))) |
% 8.88/9.04 ~ 'E'(s(s(s(0))), f(suc(suc(X_343)))) |
% 8.88/9.04 'LE'(f(suc(suc(X_343))), s(s(s(0)))) |
% 8.88/9.04 iLEQ(suc(suc(suc(X_343))), suc(suc(suc(X_343))))),
% 8.88/9.04 inference(subst, [],
% 8.88/9.04 [refute_0_142 : [bind(X_211, $fot(suc(suc(X_343))))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_229, plain,
% 8.88/9.04 (~ 'E'(s(s(s(0))), f(suc(suc(B_16)))) |
% 8.88/9.04 'E'(f(suc(suc(B_16))), f(suc(suc(suc(B_16))))) |
% 8.88/9.04 'LE'(f(suc(suc(B_16))), s(s(s(0)))) |
% 8.88/9.04 iLEQ(suc(suc(suc(B_16))), suc(suc(suc(B_16))))),
% 8.88/9.04 inference(subst, [],
% 8.88/9.04 [refute_0_101 : [bind(X_148, $fot(suc(suc(B_16))))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_230, plain,
% 8.88/9.04 ('E'(f(suc(suc(B_16))), f(suc(suc(suc(B_16))))) |
% 8.88/9.04 'E'(s(s(0)), f(suc(suc(B_16)))) | 'LE'(f(B_16), s(s(0))) |
% 8.88/9.04 'LE'(f(suc(suc(B_16))), s(s(s(0)))) |
% 8.88/9.04 iLEQ(suc(suc(suc(B_16))), suc(suc(suc(B_16))))),
% 8.88/9.04 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(suc(B_16)))))],
% 8.88/9.04 [refute_0_225, refute_0_229])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_231, plain,
% 8.88/9.04 ('E'(f(suc(suc(X_343))), f(suc(suc(suc(X_343))))) |
% 8.88/9.04 'E'(s(s(0)), f(suc(suc(X_343)))) | 'LE'(f(X_343), s(s(0))) |
% 8.88/9.04 'LE'(f(suc(suc(X_343))), s(s(s(0)))) |
% 8.88/9.04 iLEQ(suc(suc(suc(X_343))), suc(suc(suc(X_343))))),
% 8.88/9.04 inference(subst, [], [refute_0_230 : [bind(B_16, $fot(X_343))]])).
% 8.88/9.04
% 8.88/9.04 cnf(refute_0_232, plain,
% 8.88/9.04 (~ 'E'(s(s(s(0))), f(suc(suc(X_343)))) |
% 8.88/9.04 'E'(s(s(0)), f(suc(suc(X_343)))) | 'LE'(f(X_343), s(s(0))) |
% 8.88/9.04 'LE'(f(suc(suc(X_343))), s(s(s(0)))) |
% 8.88/9.04 iLEQ(suc(suc(suc(X_343))), suc(suc(suc(X_343))))),
% 8.88/9.04 inference(resolve,
% 8.88/9.04 [$cnf('E'(f(suc(suc(X_343))), f(suc(suc(suc(X_343))))))],
% 8.88/9.04 [refute_0_231, refute_0_228])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_233, plain,
% 8.88/9.05 (~ 'E'(s(s(s(0))), f(suc(suc(X_379)))) |
% 8.88/9.05 'E'(s(s(0)), f(suc(suc(X_379)))) | 'LE'(f(X_379), s(s(0))) |
% 8.88/9.05 'LE'(f(suc(suc(X_379))), s(s(s(0)))) |
% 8.88/9.05 iLEQ(suc(suc(suc(X_379))), suc(suc(suc(X_379))))),
% 8.88/9.05 inference(subst, [], [refute_0_232 : [bind(X_343, $fot(X_379))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_234, plain,
% 8.88/9.05 ('E'(s(s(0)), f(suc(suc(X_379)))) | 'LE'(f(X_379), s(s(0))) |
% 8.88/9.05 'LE'(f(suc(suc(X_379))), s(s(s(0)))) |
% 8.88/9.05 iLEQ(suc(suc(suc(X_379))), suc(suc(suc(X_379))))),
% 8.88/9.05 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(suc(X_379)))))],
% 8.88/9.05 [refute_0_227, refute_0_233])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_235, plain,
% 8.88/9.05 ('E'(s(s(0)), f(suc(suc(X_426)))) | 'LE'(f(X_426), s(s(0))) |
% 8.88/9.05 'LE'(f(suc(suc(X_426))), s(s(s(0)))) |
% 8.88/9.05 iLEQ(suc(suc(suc(X_426))), suc(suc(suc(X_426))))),
% 8.88/9.05 inference(subst, [], [refute_0_234 : [bind(X_379, $fot(X_426))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_236, plain,
% 8.88/9.05 (~ 'E'(f(suc(suc(X_425))), f(suc(suc(suc(X_425))))) |
% 8.88/9.05 ~ 'E'(s(s(s(0))), f(suc(suc(X_425)))) |
% 8.88/9.05 ~ iLEQ(suc(suc(suc(X_425))), suc(suc(suc(X_425)))) |
% 8.88/9.05 'LE'(f(suc(suc(X_425))), s(s(s(0))))),
% 8.88/9.05 inference(subst, [],
% 8.88/9.05 [refute_0_166 : [bind(X_204, $fot(suc(suc(X_425))))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_237, plain,
% 8.88/9.05 ('E'(s(s(0)), f(suc(suc(X_424)))) |
% 8.88/9.05 'E'(s(s(s(0))), f(suc(suc(X_424)))) | 'LE'(f(X_424), s(s(0)))),
% 8.88/9.05 inference(subst, [], [refute_0_225 : [bind(B_16, $fot(X_424))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_238, plain,
% 8.88/9.05 ('E'(s(s(s(0))), f(suc(suc(suc(X_423))))) |
% 8.88/9.05 'LE'(f(suc(suc(X_423))), s(s(s(0))))),
% 8.88/9.05 inference(subst, [],
% 8.88/9.05 [refute_0_99 : [bind(X_147, $fot(suc(suc(X_423))))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_239, plain,
% 8.88/9.05 ('E'(s(s(s(0))), f(suc(X_194))) | 'LE'(f(X_194), s(s(s(0))))),
% 8.88/9.05 inference(subst, [], [refute_0_99 : [bind(X_147, $fot(X_194))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_240, plain,
% 8.88/9.05 (~ 'E'(s(s(s(0))), f(X_194)) | ~ 'E'(s(s(s(0))), f(X_195)) |
% 8.88/9.05 ~ 'E'(s(s(s(0))), f(suc(X_194))) | ~ 'E'(s(s(s(0))), f(suc(X_195))) |
% 8.88/9.05 ~ iLEQ(suc(X_194), suc(X_195)) | 'E'(f(X_194), f(suc(X_194))) |
% 8.88/9.05 'E'(f(X_195), f(suc(X_195)))),
% 8.88/9.05 inference(subst, [],
% 8.88/9.05 [clause_49 :
% 8.88/9.05 [bind(A_2, $fot(X_194)), bind(B_12, $fot(X_195))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_241, plain,
% 8.88/9.05 (~ 'E'(s(s(s(0))), f(X_194)) | ~ 'E'(s(s(s(0))), f(X_195)) |
% 8.88/9.05 ~ 'E'(s(s(s(0))), f(suc(X_195))) | ~ iLEQ(suc(X_194), suc(X_195)) |
% 8.88/9.05 'E'(f(X_194), f(suc(X_194))) | 'E'(f(X_195), f(suc(X_195))) |
% 8.88/9.05 'LE'(f(X_194), s(s(s(0))))),
% 8.88/9.05 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(X_194))))],
% 8.88/9.05 [refute_0_239, refute_0_240])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_242, plain,
% 8.88/9.05 (~ 'E'(s(s(s(0))), f(suc(suc(X_379)))) |
% 8.88/9.05 ~ 'E'(s(s(s(0))), f(suc(suc(suc(X_379))))) |
% 8.88/9.05 ~ iLEQ(suc(suc(suc(X_379))), suc(suc(suc(X_379)))) |
% 8.88/9.05 'E'(f(suc(suc(X_379))), f(suc(suc(suc(X_379))))) |
% 8.88/9.05 'LE'(f(suc(suc(X_379))), s(s(s(0))))),
% 8.88/9.05 inference(subst, [],
% 8.88/9.05 [refute_0_241 :
% 8.88/9.05 [bind(X_194, $fot(suc(suc(X_379)))),
% 8.88/9.05 bind(X_195, $fot(suc(suc(X_379))))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_243, plain,
% 8.88/9.05 (~ 'E'(s(s(s(0))), f(suc(suc(X_379)))) |
% 8.88/9.05 ~ 'E'(s(s(s(0))), f(suc(suc(suc(X_379))))) |
% 8.88/9.05 'E'(f(suc(suc(X_379))), f(suc(suc(suc(X_379))))) |
% 8.88/9.05 'E'(s(s(0)), f(suc(suc(X_379)))) | 'LE'(f(X_379), s(s(0))) |
% 8.88/9.05 'LE'(f(suc(suc(X_379))), s(s(s(0))))),
% 8.88/9.05 inference(resolve,
% 8.88/9.05 [$cnf(iLEQ(suc(suc(suc(X_379))), suc(suc(suc(X_379)))))],
% 8.88/9.05 [refute_0_234, refute_0_242])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_244, plain,
% 8.88/9.05 (~ 'E'(s(s(s(0))), f(suc(suc(X_423)))) |
% 8.88/9.05 ~ 'E'(s(s(s(0))), f(suc(suc(suc(X_423))))) |
% 8.88/9.05 'E'(f(suc(suc(X_423))), f(suc(suc(suc(X_423))))) |
% 8.88/9.05 'E'(s(s(0)), f(suc(suc(X_423)))) | 'LE'(f(X_423), s(s(0))) |
% 8.88/9.05 'LE'(f(suc(suc(X_423))), s(s(s(0))))),
% 8.88/9.05 inference(subst, [], [refute_0_243 : [bind(X_379, $fot(X_423))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_245, plain,
% 8.88/9.05 (~ 'E'(s(s(s(0))), f(suc(suc(X_423)))) |
% 8.88/9.05 'E'(f(suc(suc(X_423))), f(suc(suc(suc(X_423))))) |
% 8.88/9.05 'E'(s(s(0)), f(suc(suc(X_423)))) | 'LE'(f(X_423), s(s(0))) |
% 8.88/9.05 'LE'(f(suc(suc(X_423))), s(s(s(0))))),
% 8.88/9.05 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(suc(suc(X_423))))))],
% 8.88/9.05 [refute_0_238, refute_0_244])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_246, plain,
% 8.88/9.05 (~ 'E'(s(s(s(0))), f(suc(suc(X_424)))) |
% 8.88/9.05 'E'(f(suc(suc(X_424))), f(suc(suc(suc(X_424))))) |
% 8.88/9.05 'E'(s(s(0)), f(suc(suc(X_424)))) | 'LE'(f(X_424), s(s(0))) |
% 8.88/9.05 'LE'(f(suc(suc(X_424))), s(s(s(0))))),
% 8.88/9.05 inference(subst, [], [refute_0_245 : [bind(X_423, $fot(X_424))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_247, plain,
% 8.88/9.05 ('E'(f(suc(suc(X_424))), f(suc(suc(suc(X_424))))) |
% 8.88/9.05 'E'(s(s(0)), f(suc(suc(X_424)))) | 'LE'(f(X_424), s(s(0))) |
% 8.88/9.05 'LE'(f(suc(suc(X_424))), s(s(s(0))))),
% 8.88/9.05 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(suc(X_424)))))],
% 8.88/9.05 [refute_0_237, refute_0_246])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_248, plain,
% 8.88/9.05 ('E'(f(suc(suc(X_425))), f(suc(suc(suc(X_425))))) |
% 8.88/9.05 'E'(s(s(0)), f(suc(suc(X_425)))) | 'LE'(f(X_425), s(s(0))) |
% 8.88/9.05 'LE'(f(suc(suc(X_425))), s(s(s(0))))),
% 8.88/9.05 inference(subst, [], [refute_0_247 : [bind(X_424, $fot(X_425))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_249, plain,
% 8.88/9.05 (~ 'E'(s(s(s(0))), f(suc(suc(X_425)))) |
% 8.88/9.05 ~ iLEQ(suc(suc(suc(X_425))), suc(suc(suc(X_425)))) |
% 8.88/9.05 'E'(s(s(0)), f(suc(suc(X_425)))) | 'LE'(f(X_425), s(s(0))) |
% 8.88/9.05 'LE'(f(suc(suc(X_425))), s(s(s(0))))),
% 8.88/9.05 inference(resolve,
% 8.88/9.05 [$cnf('E'(f(suc(suc(X_425))), f(suc(suc(suc(X_425))))))],
% 8.88/9.05 [refute_0_248, refute_0_236])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_250, plain,
% 8.88/9.05 (~ 'E'(s(s(s(0))), f(suc(suc(X_426)))) |
% 8.88/9.05 ~ iLEQ(suc(suc(suc(X_426))), suc(suc(suc(X_426)))) |
% 8.88/9.05 'E'(s(s(0)), f(suc(suc(X_426)))) | 'LE'(f(X_426), s(s(0))) |
% 8.88/9.05 'LE'(f(suc(suc(X_426))), s(s(s(0))))),
% 8.88/9.05 inference(subst, [], [refute_0_249 : [bind(X_425, $fot(X_426))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_251, plain,
% 8.88/9.05 (~ 'E'(s(s(s(0))), f(suc(suc(X_426)))) |
% 8.88/9.05 'E'(s(s(0)), f(suc(suc(X_426)))) | 'LE'(f(X_426), s(s(0))) |
% 8.88/9.05 'LE'(f(suc(suc(X_426))), s(s(s(0))))),
% 8.88/9.05 inference(resolve,
% 8.88/9.05 [$cnf(iLEQ(suc(suc(suc(X_426))), suc(suc(suc(X_426)))))],
% 8.88/9.05 [refute_0_235, refute_0_250])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_252, plain,
% 8.88/9.05 (~ 'E'(s(s(s(0))), f(suc(suc(X_427)))) |
% 8.88/9.05 'E'(s(s(0)), f(suc(suc(X_427)))) | 'LE'(f(X_427), s(s(0))) |
% 8.88/9.05 'LE'(f(suc(suc(X_427))), s(s(s(0))))),
% 8.88/9.05 inference(subst, [], [refute_0_251 : [bind(X_426, $fot(X_427))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_253, plain,
% 8.88/9.05 ('E'(s(s(0)), f(suc(suc(X_427)))) | 'LE'(f(X_427), s(s(0))) |
% 8.88/9.05 'LE'(f(suc(suc(X_427))), s(s(s(0))))),
% 8.88/9.05 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(suc(X_427)))))],
% 8.88/9.05 [refute_0_226, refute_0_252])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_254, plain,
% 8.88/9.05 ('E'(s(s(0)), f(suc(suc(X_428)))) | 'LE'(f(X_428), s(s(0))) |
% 8.88/9.05 'LE'(f(suc(suc(X_428))), s(s(s(0))))),
% 8.88/9.05 inference(subst, [], [refute_0_253 : [bind(X_427, $fot(X_428))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_255, plain,
% 8.88/9.05 ('E'(s(s(0)), f(suc(suc(X_428)))) | 'LE'(f(X_428), s(s(0)))),
% 8.88/9.05 inference(resolve, [$cnf('LE'(f(suc(suc(X_428))), s(s(s(0)))))],
% 8.88/9.05 [refute_0_254, refute_0_223])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_256, plain,
% 8.88/9.05 ('E'(s(s(0)), f(suc(suc(X_429)))) | 'LE'(f(X_429), s(s(0)))),
% 8.88/9.05 inference(subst, [], [refute_0_255 : [bind(X_428, $fot(X_429))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_257, plain,
% 8.88/9.05 (~ 'E'(f(X_429), f(suc(X_429))) | ~ 'E'(s(s(0)), f(X_429)) |
% 8.88/9.05 ~ 'E'(s(s(0)), f(suc(X_429))) | 'LE'(f(X_429), s(s(0))) |
% 8.88/9.05 iLEQ(suc(X_429), suc(X_429))),
% 8.88/9.05 inference(resolve, [$cnf('E'(s(s(0)), f(suc(suc(X_429)))))],
% 8.88/9.05 [refute_0_256, refute_0_222])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_258, plain,
% 8.88/9.05 (~ 'E'(f(X_439), f(suc(X_439))) | ~ 'E'(s(s(0)), f(X_439)) |
% 8.88/9.05 ~ 'E'(s(s(0)), f(suc(X_439))) | 'LE'(f(X_439), s(s(0))) |
% 8.88/9.05 iLEQ(suc(X_439), suc(X_439))),
% 8.88/9.05 inference(subst, [], [refute_0_257 : [bind(X_429, $fot(X_439))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_259, plain,
% 8.88/9.05 (~ 'E'(f(X_439), f(suc(X_439))) | ~ 'E'(s(s(0)), f(X_439)) |
% 8.88/9.05 'LE'(f(X_439), s(s(0))) | iLEQ(suc(X_439), suc(X_439))),
% 8.88/9.05 inference(resolve, [$cnf('E'(s(s(0)), f(suc(X_439))))],
% 8.88/9.05 [refute_0_221, refute_0_258])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_260, plain,
% 8.88/9.05 (~ 'E'(f(X_440), f(suc(X_440))) | ~ 'E'(s(s(0)), f(X_440)) |
% 8.88/9.05 'LE'(f(X_440), s(s(0))) | iLEQ(suc(X_440), suc(X_440))),
% 8.88/9.05 inference(subst, [], [refute_0_259 : [bind(X_439, $fot(X_440))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_261, plain,
% 8.88/9.05 (~ 'E'(s(s(0)), f(X_440)) | 'E'(s(0), f(X_440)) |
% 8.88/9.05 'LE'(f(X_440), s(0)) | 'LE'(f(X_440), s(s(0))) |
% 8.88/9.05 iLEQ(suc(X_440), suc(X_440))),
% 8.88/9.05 inference(resolve, [$cnf('E'(f(X_440), f(suc(X_440))))],
% 8.88/9.05 [refute_0_220, refute_0_260])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_262, plain,
% 8.88/9.05 (~ 'E'(s(s(0)), f(X_449)) | 'E'(s(0), f(X_449)) |
% 8.88/9.05 'LE'(f(X_449), s(0)) | 'LE'(f(X_449), s(s(0))) |
% 8.88/9.05 iLEQ(suc(X_449), suc(X_449))),
% 8.88/9.05 inference(subst, [], [refute_0_261 : [bind(X_440, $fot(X_449))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_263, plain,
% 8.88/9.05 ('E'(s(0), f(X_449)) | 'LE'(f(X_449), s(0)) | 'LE'(f(X_449), s(s(0))) |
% 8.88/9.05 iLEQ(suc(X_449), suc(X_449))),
% 8.88/9.05 inference(resolve, [$cnf('E'(s(s(0)), f(X_449)))],
% 8.88/9.05 [refute_0_177, refute_0_262])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_264, plain,
% 8.88/9.05 ('E'(s(0), f(X_450)) | 'LE'(f(X_450), s(0)) | 'LE'(f(X_450), s(s(0))) |
% 8.88/9.05 iLEQ(suc(X_450), suc(X_450))),
% 8.88/9.05 inference(subst, [], [refute_0_263 : [bind(X_449, $fot(X_450))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_265, plain,
% 8.88/9.05 ('E'(s(0), f(X_450)) | 'LE'(f(X_450), s(0)) |
% 8.88/9.05 iLEQ(suc(X_450), suc(X_450))),
% 8.88/9.05 inference(resolve, [$cnf('LE'(f(X_450), s(s(0))))],
% 8.88/9.05 [refute_0_264, refute_0_2])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_266, plain,
% 8.88/9.05 ('E'(s(0), f(X_454)) | 'LE'(f(X_454), s(0)) |
% 8.88/9.05 iLEQ(suc(X_454), suc(X_454))),
% 8.88/9.05 inference(subst, [], [refute_0_265 : [bind(X_450, $fot(X_454))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_267, plain,
% 8.88/9.05 ('E'(s(0), f(X_437)) | 'E'(s(s(0)), f(X_437)) | 'LE'(f(X_437), s(0))),
% 8.88/9.05 inference(subst, [], [refute_0_176 : [bind(X_267, $fot(X_437))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_268, plain,
% 8.88/9.05 ('E'(s(s(0)), f(suc(X_436))) | 'LE'(f(X_436), s(s(0)))),
% 8.88/9.05 inference(subst, [], [refute_0_213 : [bind(X_329, $fot(X_436))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_269, plain,
% 8.88/9.05 (~ 'E'(f(X_429), f(suc(X_429))) | ~ 'E'(s(s(0)), f(X_429)) |
% 8.88/9.05 ~ 'E'(s(s(0)), f(suc(X_429))) | ~ 'E'(s(s(0)), f(suc(suc(X_429)))) |
% 8.88/9.05 ~ iLEQ(suc(X_429), suc(X_429))),
% 8.88/9.05 inference(subst, [],
% 8.88/9.05 [clause_74 :
% 8.88/9.05 [bind(A_3, $fot(X_429)), bind(B_17, $fot(X_429))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_270, plain,
% 8.88/9.05 (~ 'E'(f(X_429), f(suc(X_429))) | ~ 'E'(s(s(0)), f(X_429)) |
% 8.88/9.05 ~ 'E'(s(s(0)), f(suc(X_429))) | ~ iLEQ(suc(X_429), suc(X_429)) |
% 8.88/9.05 'LE'(f(X_429), s(s(0)))),
% 8.88/9.05 inference(resolve, [$cnf('E'(s(s(0)), f(suc(suc(X_429)))))],
% 8.88/9.05 [refute_0_256, refute_0_269])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_271, plain,
% 8.88/9.05 (~ 'E'(f(X_436), f(suc(X_436))) | ~ 'E'(s(s(0)), f(X_436)) |
% 8.88/9.05 ~ 'E'(s(s(0)), f(suc(X_436))) | ~ iLEQ(suc(X_436), suc(X_436)) |
% 8.88/9.05 'LE'(f(X_436), s(s(0)))),
% 8.88/9.05 inference(subst, [], [refute_0_270 : [bind(X_429, $fot(X_436))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_272, plain,
% 8.88/9.05 (~ 'E'(f(X_436), f(suc(X_436))) | ~ 'E'(s(s(0)), f(X_436)) |
% 8.88/9.05 ~ iLEQ(suc(X_436), suc(X_436)) | 'LE'(f(X_436), s(s(0)))),
% 8.88/9.05 inference(resolve, [$cnf('E'(s(s(0)), f(suc(X_436))))],
% 8.88/9.05 [refute_0_268, refute_0_271])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_273, plain,
% 8.88/9.05 (~ 'E'(f(X_437), f(suc(X_437))) | ~ 'E'(s(s(0)), f(X_437)) |
% 8.88/9.05 ~ iLEQ(suc(X_437), suc(X_437)) | 'LE'(f(X_437), s(s(0)))),
% 8.88/9.05 inference(subst, [], [refute_0_272 : [bind(X_436, $fot(X_437))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_274, plain,
% 8.88/9.05 (~ 'E'(f(X_437), f(suc(X_437))) | ~ iLEQ(suc(X_437), suc(X_437)) |
% 8.88/9.05 'E'(s(0), f(X_437)) | 'LE'(f(X_437), s(0)) | 'LE'(f(X_437), s(s(0)))),
% 8.88/9.05 inference(resolve, [$cnf('E'(s(s(0)), f(X_437)))],
% 8.88/9.05 [refute_0_267, refute_0_273])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_275, plain,
% 8.88/9.05 (~ 'E'(f(X_452), f(suc(X_452))) | ~ iLEQ(suc(X_452), suc(X_452)) |
% 8.88/9.05 'E'(s(0), f(X_452)) | 'LE'(f(X_452), s(0)) | 'LE'(f(X_452), s(s(0)))),
% 8.88/9.05 inference(subst, [], [refute_0_274 : [bind(X_437, $fot(X_452))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_276, plain,
% 8.88/9.05 ('E'(s(0), f(X_331)) | 'E'(s(s(0)), f(X_331)) | 'LE'(f(X_331), s(0))),
% 8.88/9.05 inference(subst, [], [refute_0_176 : [bind(X_267, $fot(X_331))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_277, plain,
% 8.88/9.05 (~ 'E'(s(s(0)), f(X_330)) | ~ 'E'(s(s(0)), f(suc(X_330))) |
% 8.88/9.05 ~ iLEQ(suc(X_330), suc(X_330)) | 'E'(f(X_330), f(suc(X_330)))),
% 8.88/9.05 inference(subst, [],
% 8.88/9.05 [clause_115 :
% 8.88/9.05 [bind(A_3, $fot(X_330)), bind(B_17, $fot(X_330))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_278, plain,
% 8.88/9.05 (~ 'E'(s(s(0)), f(X_330)) | ~ iLEQ(suc(X_330), suc(X_330)) |
% 8.88/9.05 'E'(f(X_330), f(suc(X_330))) | 'LE'(f(X_330), s(s(0)))),
% 8.88/9.05 inference(resolve, [$cnf('E'(s(s(0)), f(suc(X_330))))],
% 8.88/9.05 [refute_0_214, refute_0_277])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_279, plain,
% 8.88/9.05 (~ 'E'(s(s(0)), f(X_331)) | ~ iLEQ(suc(X_331), suc(X_331)) |
% 8.88/9.05 'E'(f(X_331), f(suc(X_331))) | 'LE'(f(X_331), s(s(0)))),
% 8.88/9.05 inference(subst, [], [refute_0_278 : [bind(X_330, $fot(X_331))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_280, plain,
% 8.88/9.05 (~ iLEQ(suc(X_331), suc(X_331)) | 'E'(f(X_331), f(suc(X_331))) |
% 8.88/9.05 'E'(s(0), f(X_331)) | 'LE'(f(X_331), s(0)) | 'LE'(f(X_331), s(s(0)))),
% 8.88/9.05 inference(resolve, [$cnf('E'(s(s(0)), f(X_331)))],
% 8.88/9.05 [refute_0_276, refute_0_279])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_281, plain,
% 8.88/9.05 (~ iLEQ(suc(X_450), suc(X_450)) | 'E'(f(X_450), f(suc(X_450))) |
% 8.88/9.05 'E'(s(0), f(X_450)) | 'LE'(f(X_450), s(0)) | 'LE'(f(X_450), s(s(0)))),
% 8.88/9.05 inference(subst, [], [refute_0_280 : [bind(X_331, $fot(X_450))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_282, plain,
% 8.88/9.05 ('E'(f(X_450), f(suc(X_450))) | 'E'(s(0), f(X_450)) |
% 8.88/9.05 'LE'(f(X_450), s(0)) | 'LE'(f(X_450), s(s(0)))),
% 8.88/9.05 inference(resolve, [$cnf(iLEQ(suc(X_450), suc(X_450)))],
% 8.88/9.05 [refute_0_264, refute_0_281])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_283, plain,
% 8.88/9.05 ('E'(f(X_452), f(suc(X_452))) | 'E'(s(0), f(X_452)) |
% 8.88/9.05 'LE'(f(X_452), s(0)) | 'LE'(f(X_452), s(s(0)))),
% 8.88/9.05 inference(subst, [], [refute_0_282 : [bind(X_450, $fot(X_452))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_284, plain,
% 8.88/9.05 (~ iLEQ(suc(X_452), suc(X_452)) | 'E'(s(0), f(X_452)) |
% 8.88/9.05 'LE'(f(X_452), s(0)) | 'LE'(f(X_452), s(s(0)))),
% 8.88/9.05 inference(resolve, [$cnf('E'(f(X_452), f(suc(X_452))))],
% 8.88/9.05 [refute_0_283, refute_0_275])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_285, plain,
% 8.88/9.05 (~ iLEQ(suc(X_454), suc(X_454)) | 'E'(s(0), f(X_454)) |
% 8.88/9.05 'LE'(f(X_454), s(0)) | 'LE'(f(X_454), s(s(0)))),
% 8.88/9.05 inference(subst, [], [refute_0_284 : [bind(X_452, $fot(X_454))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_286, plain,
% 8.88/9.05 ('E'(s(0), f(X_454)) | 'LE'(f(X_454), s(0)) | 'LE'(f(X_454), s(s(0)))),
% 8.88/9.05 inference(resolve, [$cnf(iLEQ(suc(X_454), suc(X_454)))],
% 8.88/9.05 [refute_0_266, refute_0_285])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_287, plain,
% 8.88/9.05 ('E'(s(0), f(X_455)) | 'LE'(f(X_455), s(0)) | 'LE'(f(X_455), s(s(0)))),
% 8.88/9.05 inference(subst, [], [refute_0_286 : [bind(X_454, $fot(X_455))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_288, plain, ('E'(s(0), f(X_455)) | 'LE'(f(X_455), s(0))),
% 8.88/9.05 inference(resolve, [$cnf('LE'(f(X_455), s(s(0))))],
% 8.88/9.05 [refute_0_287, refute_0_1])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_289, plain,
% 8.88/9.05 ('E'(s(0), f(suc(B_23))) | 'LE'(f(suc(B_23)), s(0))),
% 8.88/9.05 inference(subst, [], [refute_0_288 : [bind(X_455, $fot(suc(B_23)))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_290, plain,
% 8.88/9.05 ('E'(0, f(suc(B_23))) | 'E'(s(0), f(suc(B_23))) | 'LE'(f(B_23), 0)),
% 8.88/9.05 inference(resolve, [$cnf('LE'(f(suc(B_23)), s(0)))],
% 8.88/9.05 [refute_0_289, clause_168])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_291, plain,
% 8.88/9.05 ('E'(0, f(suc(X_850))) | 'E'(s(0), f(suc(X_850))) | 'LE'(f(X_850), 0)),
% 8.88/9.05 inference(subst, [], [refute_0_290 : [bind(B_23, $fot(X_850))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_292, plain,
% 8.88/9.05 ('E'(0, f(suc(X_784))) | 'E'(s(0), f(suc(X_784))) | 'LE'(f(X_784), 0)),
% 8.88/9.05 inference(subst, [], [refute_0_290 : [bind(B_23, $fot(X_784))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_293, plain,
% 8.88/9.05 (~ 'E'(s(0), f(X_568)) | ~ 'E'(s(0), f(suc(X_568))) |
% 8.88/9.05 'E'(f(X_568), f(suc(X_568))) | iLEQ(suc(X_568), suc(X_568))),
% 8.88/9.05 inference(subst, [], [clause_204 : [bind(A_4, $fot(X_568))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_294, plain,
% 8.88/9.05 (~ 'LE'(f(suc(X_567)), s(s(0))) | 'E'(s(0), f(suc(X_567))) |
% 8.88/9.05 'LE'(f(X_567), s(0))),
% 8.88/9.05 inference(subst, [], [clause_30 : [bind(B_20, $fot(X_567))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_295, plain,
% 8.88/9.05 ('E'(s(s(0)), f(suc(B_20))) | 'LE'(f(suc(B_20)), s(s(0)))),
% 8.88/9.05 inference(subst, [], [refute_0_174 : [bind(X_266, $fot(suc(B_20)))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_296, plain,
% 8.88/9.05 ('E'(s(0), f(suc(B_20))) | 'E'(s(s(0)), f(suc(B_20))) |
% 8.88/9.05 'LE'(f(B_20), s(0))),
% 8.88/9.05 inference(resolve, [$cnf('LE'(f(suc(B_20)), s(s(0))))],
% 8.88/9.05 [refute_0_295, clause_30])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_297, plain,
% 8.88/9.05 ('E'(s(0), f(suc(X_566))) | 'E'(s(s(0)), f(suc(X_566))) |
% 8.88/9.05 'LE'(f(X_566), s(0))),
% 8.88/9.05 inference(subst, [], [refute_0_296 : [bind(B_20, $fot(X_566))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_298, plain,
% 8.88/9.05 ('E'(s(0), f(suc(X_485))) | 'E'(s(s(0)), f(suc(X_485))) |
% 8.88/9.05 'LE'(f(X_485), s(0))),
% 8.88/9.05 inference(subst, [], [refute_0_296 : [bind(B_20, $fot(X_485))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_299, plain,
% 8.88/9.05 (~ 'E'(s(s(0)), f(suc(B_20))) | 'E'(f(suc(B_20)), f(suc(suc(B_20)))) |
% 8.88/9.05 'LE'(f(suc(B_20)), s(s(0))) | iLEQ(suc(suc(B_20)), suc(suc(B_20)))),
% 8.88/9.05 inference(subst, [], [refute_0_215 : [bind(X_330, $fot(suc(B_20)))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_300, plain,
% 8.88/9.05 ('E'(f(suc(B_20)), f(suc(suc(B_20)))) | 'E'(s(0), f(suc(B_20))) |
% 8.88/9.05 'LE'(f(B_20), s(0)) | 'LE'(f(suc(B_20)), s(s(0))) |
% 8.88/9.05 iLEQ(suc(suc(B_20)), suc(suc(B_20)))),
% 8.88/9.05 inference(resolve, [$cnf('E'(s(s(0)), f(suc(B_20))))],
% 8.88/9.05 [refute_0_296, refute_0_299])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_301, plain,
% 8.88/9.05 (~ 'E'(f(suc(B_20)), f(suc(suc(B_20)))) |
% 8.88/9.05 ~ 'E'(s(s(0)), f(suc(B_20))) | 'LE'(f(suc(B_20)), s(s(0))) |
% 8.88/9.05 iLEQ(suc(suc(B_20)), suc(suc(B_20)))),
% 8.88/9.05 inference(subst, [], [refute_0_259 : [bind(X_439, $fot(suc(B_20)))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_302, plain,
% 8.88/9.05 (~ 'E'(s(s(0)), f(suc(B_20))) | 'E'(s(0), f(suc(B_20))) |
% 8.88/9.05 'LE'(f(B_20), s(0)) | 'LE'(f(suc(B_20)), s(s(0))) |
% 8.88/9.05 iLEQ(suc(suc(B_20)), suc(suc(B_20)))),
% 8.88/9.05 inference(resolve, [$cnf('E'(f(suc(B_20)), f(suc(suc(B_20)))))],
% 8.88/9.05 [refute_0_300, refute_0_301])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_303, plain,
% 8.88/9.05 (~ 'E'(s(s(0)), f(suc(X_485))) | 'E'(s(0), f(suc(X_485))) |
% 8.88/9.05 'LE'(f(X_485), s(0)) | 'LE'(f(suc(X_485)), s(s(0))) |
% 8.88/9.05 iLEQ(suc(suc(X_485)), suc(suc(X_485)))),
% 8.88/9.05 inference(subst, [], [refute_0_302 : [bind(B_20, $fot(X_485))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_304, plain,
% 8.88/9.05 ('E'(s(0), f(suc(X_485))) | 'LE'(f(X_485), s(0)) |
% 8.88/9.05 'LE'(f(suc(X_485)), s(s(0))) |
% 8.88/9.05 iLEQ(suc(suc(X_485)), suc(suc(X_485)))),
% 8.88/9.05 inference(resolve, [$cnf('E'(s(s(0)), f(suc(X_485))))],
% 8.88/9.05 [refute_0_298, refute_0_303])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_305, plain,
% 8.88/9.05 ('E'(s(0), f(suc(X_565))) | 'LE'(f(X_565), s(0)) |
% 8.88/9.05 'LE'(f(suc(X_565)), s(s(0))) |
% 8.88/9.05 iLEQ(suc(suc(X_565)), suc(suc(X_565)))),
% 8.88/9.05 inference(subst, [], [refute_0_304 : [bind(X_485, $fot(X_565))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_306, plain,
% 8.88/9.05 (~ 'E'(f(suc(X_500)), f(suc(suc(X_500)))) |
% 8.88/9.05 ~ 'E'(s(s(0)), f(suc(X_500))) |
% 8.88/9.05 ~ iLEQ(suc(suc(X_500)), suc(suc(X_500))) |
% 8.88/9.05 'LE'(f(suc(X_500)), s(s(0)))),
% 8.88/9.05 inference(subst, [],
% 8.88/9.05 [refute_0_272 : [bind(X_436, $fot(suc(X_500)))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_307, plain,
% 8.88/9.05 ('E'(s(0), f(suc(X_499))) | 'E'(s(s(0)), f(suc(X_499))) |
% 8.88/9.05 'LE'(f(X_499), s(0))),
% 8.88/9.05 inference(subst, [], [refute_0_296 : [bind(B_20, $fot(X_499))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_308, plain,
% 8.88/9.05 (~ 'E'(s(s(0)), f(suc(X_486))) |
% 8.88/9.05 ~ iLEQ(suc(suc(X_486)), suc(suc(X_486))) |
% 8.88/9.05 'E'(f(suc(X_486)), f(suc(suc(X_486)))) |
% 8.88/9.05 'LE'(f(suc(X_486)), s(s(0)))),
% 8.88/9.05 inference(subst, [],
% 8.88/9.05 [refute_0_278 : [bind(X_330, $fot(suc(X_486)))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_309, plain,
% 8.88/9.05 ('E'(s(0), f(suc(X_486))) | 'LE'(f(X_486), s(0)) |
% 8.88/9.05 'LE'(f(suc(X_486)), s(s(0))) |
% 8.88/9.05 iLEQ(suc(suc(X_486)), suc(suc(X_486)))),
% 8.88/9.05 inference(subst, [], [refute_0_304 : [bind(X_485, $fot(X_486))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_310, plain,
% 8.88/9.05 (~ 'E'(s(s(0)), f(suc(X_486))) |
% 8.88/9.05 'E'(f(suc(X_486)), f(suc(suc(X_486)))) | 'E'(s(0), f(suc(X_486))) |
% 8.88/9.05 'LE'(f(X_486), s(0)) | 'LE'(f(suc(X_486)), s(s(0)))),
% 8.88/9.05 inference(resolve, [$cnf(iLEQ(suc(suc(X_486)), suc(suc(X_486))))],
% 8.88/9.05 [refute_0_309, refute_0_308])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_311, plain,
% 8.88/9.05 (~ 'E'(s(s(0)), f(suc(X_499))) |
% 8.88/9.05 'E'(f(suc(X_499)), f(suc(suc(X_499)))) | 'E'(s(0), f(suc(X_499))) |
% 8.88/9.05 'LE'(f(X_499), s(0)) | 'LE'(f(suc(X_499)), s(s(0)))),
% 8.88/9.05 inference(subst, [], [refute_0_310 : [bind(X_486, $fot(X_499))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_312, plain,
% 8.88/9.05 ('E'(f(suc(X_499)), f(suc(suc(X_499)))) | 'E'(s(0), f(suc(X_499))) |
% 8.88/9.05 'LE'(f(X_499), s(0)) | 'LE'(f(suc(X_499)), s(s(0)))),
% 8.88/9.05 inference(resolve, [$cnf('E'(s(s(0)), f(suc(X_499))))],
% 8.88/9.05 [refute_0_307, refute_0_311])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_313, plain,
% 8.88/9.05 ('E'(f(suc(X_500)), f(suc(suc(X_500)))) | 'E'(s(0), f(suc(X_500))) |
% 8.88/9.05 'LE'(f(X_500), s(0)) | 'LE'(f(suc(X_500)), s(s(0)))),
% 8.88/9.05 inference(subst, [], [refute_0_312 : [bind(X_499, $fot(X_500))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_314, plain,
% 8.88/9.05 (~ 'E'(s(s(0)), f(suc(X_500))) |
% 8.88/9.05 ~ iLEQ(suc(suc(X_500)), suc(suc(X_500))) | 'E'(s(0), f(suc(X_500))) |
% 8.88/9.05 'LE'(f(X_500), s(0)) | 'LE'(f(suc(X_500)), s(s(0)))),
% 8.88/9.05 inference(resolve, [$cnf('E'(f(suc(X_500)), f(suc(suc(X_500)))))],
% 8.88/9.05 [refute_0_313, refute_0_306])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_315, plain,
% 8.88/9.05 (~ 'E'(s(s(0)), f(suc(X_565))) |
% 8.88/9.05 ~ iLEQ(suc(suc(X_565)), suc(suc(X_565))) | 'E'(s(0), f(suc(X_565))) |
% 8.88/9.05 'LE'(f(X_565), s(0)) | 'LE'(f(suc(X_565)), s(s(0)))),
% 8.88/9.05 inference(subst, [], [refute_0_314 : [bind(X_500, $fot(X_565))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_316, plain,
% 8.88/9.05 (~ 'E'(s(s(0)), f(suc(X_565))) | 'E'(s(0), f(suc(X_565))) |
% 8.88/9.05 'LE'(f(X_565), s(0)) | 'LE'(f(suc(X_565)), s(s(0)))),
% 8.88/9.05 inference(resolve, [$cnf(iLEQ(suc(suc(X_565)), suc(suc(X_565))))],
% 8.88/9.05 [refute_0_305, refute_0_315])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_317, plain,
% 8.88/9.05 (~ 'E'(s(s(0)), f(suc(X_566))) | 'E'(s(0), f(suc(X_566))) |
% 8.88/9.05 'LE'(f(X_566), s(0)) | 'LE'(f(suc(X_566)), s(s(0)))),
% 8.88/9.05 inference(subst, [], [refute_0_316 : [bind(X_565, $fot(X_566))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_318, plain,
% 8.88/9.05 ('E'(s(0), f(suc(X_566))) | 'LE'(f(X_566), s(0)) |
% 8.88/9.05 'LE'(f(suc(X_566)), s(s(0)))),
% 8.88/9.05 inference(resolve, [$cnf('E'(s(s(0)), f(suc(X_566))))],
% 8.88/9.05 [refute_0_297, refute_0_317])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_319, plain,
% 8.88/9.05 ('E'(s(0), f(suc(X_567))) | 'LE'(f(X_567), s(0)) |
% 8.88/9.05 'LE'(f(suc(X_567)), s(s(0)))),
% 8.88/9.05 inference(subst, [], [refute_0_318 : [bind(X_566, $fot(X_567))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_320, plain, ('E'(s(0), f(suc(X_567))) | 'LE'(f(X_567), s(0))),
% 8.88/9.05 inference(resolve, [$cnf('LE'(f(suc(X_567)), s(s(0))))],
% 8.88/9.05 [refute_0_319, refute_0_294])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_321, plain, ('E'(s(0), f(suc(X_568))) | 'LE'(f(X_568), s(0))),
% 8.88/9.05 inference(subst, [], [refute_0_320 : [bind(X_567, $fot(X_568))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_322, plain,
% 8.88/9.05 (~ 'E'(s(0), f(X_568)) | 'E'(f(X_568), f(suc(X_568))) |
% 8.88/9.05 'LE'(f(X_568), s(0)) | iLEQ(suc(X_568), suc(X_568))),
% 8.88/9.05 inference(resolve, [$cnf('E'(s(0), f(suc(X_568))))],
% 8.88/9.05 [refute_0_321, refute_0_293])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_323, plain,
% 8.88/9.05 (~ 'E'(s(0), f(suc(B_23))) | 'E'(f(suc(B_23)), f(suc(suc(B_23)))) |
% 8.88/9.05 'LE'(f(suc(B_23)), s(0)) | iLEQ(suc(suc(B_23)), suc(suc(B_23)))),
% 8.88/9.05 inference(subst, [], [refute_0_322 : [bind(X_568, $fot(suc(B_23)))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_324, plain,
% 8.88/9.05 ('E'(0, f(suc(B_23))) | 'E'(f(suc(B_23)), f(suc(suc(B_23)))) |
% 8.88/9.05 'LE'(f(B_23), 0) | 'LE'(f(suc(B_23)), s(0)) |
% 8.88/9.05 iLEQ(suc(suc(B_23)), suc(suc(B_23)))),
% 8.88/9.05 inference(resolve, [$cnf('E'(s(0), f(suc(B_23))))],
% 8.88/9.05 [refute_0_290, refute_0_323])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_325, plain, ('E'(s(0), f(suc(X_748))) | 'LE'(f(X_748), s(0))),
% 8.88/9.05 inference(subst, [], [refute_0_320 : [bind(X_567, $fot(X_748))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_326, plain,
% 8.88/9.05 (~ 'E'(f(X_740), f(suc(X_740))) | ~ 'E'(s(0), f(X_740)) |
% 8.88/9.05 ~ 'E'(s(0), f(suc(X_740))) | ~ 'E'(s(0), f(suc(suc(X_740)))) |
% 8.88/9.05 iLEQ(suc(X_740), suc(X_740))),
% 8.88/9.05 inference(subst, [], [clause_61 : [bind(A_4, $fot(X_740))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_327, plain,
% 8.88/9.05 (~ 'LE'(f(suc(suc(X_739))), s(s(0))) | 'E'(s(0), f(suc(suc(X_739)))) |
% 8.88/9.05 'LE'(f(X_739), s(0))),
% 8.88/9.05 inference(subst, [], [clause_116 : [bind(B_20, $fot(X_739))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_328, plain,
% 8.88/9.05 ('E'(s(s(0)), f(suc(suc(B_20)))) | 'LE'(f(suc(suc(B_20))), s(s(0)))),
% 8.88/9.05 inference(subst, [],
% 8.88/9.05 [refute_0_174 : [bind(X_266, $fot(suc(suc(B_20))))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_329, plain,
% 8.88/9.05 ('E'(s(0), f(suc(suc(B_20)))) | 'E'(s(s(0)), f(suc(suc(B_20)))) |
% 8.88/9.05 'LE'(f(B_20), s(0))),
% 8.88/9.05 inference(resolve, [$cnf('LE'(f(suc(suc(B_20))), s(s(0))))],
% 8.88/9.05 [refute_0_328, clause_116])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_330, plain,
% 8.88/9.05 ('E'(s(0), f(suc(suc(X_738)))) | 'E'(s(s(0)), f(suc(suc(X_738)))) |
% 8.88/9.05 'LE'(f(X_738), s(0))),
% 8.88/9.05 inference(subst, [], [refute_0_329 : [bind(B_20, $fot(X_738))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_331, plain,
% 8.88/9.05 ('E'(s(0), f(suc(suc(X_601)))) | 'E'(s(s(0)), f(suc(suc(X_601)))) |
% 8.88/9.05 'LE'(f(X_601), s(0))),
% 8.88/9.05 inference(subst, [], [refute_0_329 : [bind(B_20, $fot(X_601))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_332, plain,
% 8.88/9.05 (~ 'E'(f(suc(suc(X_589))), f(suc(suc(suc(X_589))))) |
% 8.88/9.05 ~ 'E'(s(s(0)), f(suc(suc(X_589)))) |
% 8.88/9.05 'LE'(f(suc(suc(X_589))), s(s(0))) |
% 8.88/9.05 iLEQ(suc(suc(suc(X_589))), suc(suc(suc(X_589))))),
% 8.88/9.05 inference(subst, [],
% 8.88/9.05 [refute_0_259 : [bind(X_439, $fot(suc(suc(X_589))))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_333, plain,
% 8.88/9.05 (~ 'E'(s(s(0)), f(suc(suc(B_20)))) |
% 8.88/9.05 'E'(f(suc(suc(B_20))), f(suc(suc(suc(B_20))))) |
% 8.88/9.05 'LE'(f(suc(suc(B_20))), s(s(0))) |
% 8.88/9.05 iLEQ(suc(suc(suc(B_20))), suc(suc(suc(B_20))))),
% 8.88/9.05 inference(subst, [],
% 8.88/9.05 [refute_0_215 : [bind(X_330, $fot(suc(suc(B_20))))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_334, plain,
% 8.88/9.05 ('E'(f(suc(suc(B_20))), f(suc(suc(suc(B_20))))) |
% 8.88/9.05 'E'(s(0), f(suc(suc(B_20)))) | 'LE'(f(B_20), s(0)) |
% 8.88/9.05 'LE'(f(suc(suc(B_20))), s(s(0))) |
% 8.88/9.05 iLEQ(suc(suc(suc(B_20))), suc(suc(suc(B_20))))),
% 8.88/9.05 inference(resolve, [$cnf('E'(s(s(0)), f(suc(suc(B_20)))))],
% 8.88/9.05 [refute_0_329, refute_0_333])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_335, plain,
% 8.88/9.05 ('E'(f(suc(suc(X_589))), f(suc(suc(suc(X_589))))) |
% 8.88/9.05 'E'(s(0), f(suc(suc(X_589)))) | 'LE'(f(X_589), s(0)) |
% 8.88/9.05 'LE'(f(suc(suc(X_589))), s(s(0))) |
% 8.88/9.05 iLEQ(suc(suc(suc(X_589))), suc(suc(suc(X_589))))),
% 8.88/9.05 inference(subst, [], [refute_0_334 : [bind(B_20, $fot(X_589))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_336, plain,
% 8.88/9.05 (~ 'E'(s(s(0)), f(suc(suc(X_589)))) | 'E'(s(0), f(suc(suc(X_589)))) |
% 8.88/9.05 'LE'(f(X_589), s(0)) | 'LE'(f(suc(suc(X_589))), s(s(0))) |
% 8.88/9.05 iLEQ(suc(suc(suc(X_589))), suc(suc(suc(X_589))))),
% 8.88/9.05 inference(resolve,
% 8.88/9.05 [$cnf('E'(f(suc(suc(X_589))), f(suc(suc(suc(X_589))))))],
% 8.88/9.05 [refute_0_335, refute_0_332])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_337, plain,
% 8.88/9.05 (~ 'E'(s(s(0)), f(suc(suc(X_601)))) | 'E'(s(0), f(suc(suc(X_601)))) |
% 8.88/9.05 'LE'(f(X_601), s(0)) | 'LE'(f(suc(suc(X_601))), s(s(0))) |
% 8.88/9.05 iLEQ(suc(suc(suc(X_601))), suc(suc(suc(X_601))))),
% 8.88/9.05 inference(subst, [], [refute_0_336 : [bind(X_589, $fot(X_601))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_338, plain,
% 8.88/9.05 ('E'(s(0), f(suc(suc(X_601)))) | 'LE'(f(X_601), s(0)) |
% 8.88/9.05 'LE'(f(suc(suc(X_601))), s(s(0))) |
% 8.88/9.05 iLEQ(suc(suc(suc(X_601))), suc(suc(suc(X_601))))),
% 8.88/9.05 inference(resolve, [$cnf('E'(s(s(0)), f(suc(suc(X_601)))))],
% 8.88/9.05 [refute_0_331, refute_0_337])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_339, plain,
% 8.88/9.05 ('E'(s(0), f(suc(suc(X_737)))) | 'LE'(f(X_737), s(0)) |
% 8.88/9.05 'LE'(f(suc(suc(X_737))), s(s(0))) |
% 8.88/9.05 iLEQ(suc(suc(suc(X_737))), suc(suc(suc(X_737))))),
% 8.88/9.05 inference(subst, [], [refute_0_338 : [bind(X_601, $fot(X_737))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_340, plain,
% 8.88/9.05 (~ 'E'(f(suc(suc(X_638))), f(suc(suc(suc(X_638))))) |
% 8.88/9.05 ~ 'E'(s(s(0)), f(suc(suc(X_638)))) |
% 8.88/9.05 ~ iLEQ(suc(suc(suc(X_638))), suc(suc(suc(X_638)))) |
% 8.88/9.05 'LE'(f(suc(suc(X_638))), s(s(0)))),
% 8.88/9.05 inference(subst, [],
% 8.88/9.05 [refute_0_272 : [bind(X_436, $fot(suc(suc(X_638))))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_341, plain,
% 8.88/9.05 ('E'(s(0), f(suc(suc(X_637)))) | 'E'(s(s(0)), f(suc(suc(X_637)))) |
% 8.88/9.05 'LE'(f(X_637), s(0))),
% 8.88/9.05 inference(subst, [], [refute_0_329 : [bind(B_20, $fot(X_637))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_342, plain,
% 8.88/9.05 (~ 'E'(s(s(0)), f(suc(suc(X_602)))) |
% 8.88/9.05 ~ iLEQ(suc(suc(suc(X_602))), suc(suc(suc(X_602)))) |
% 8.88/9.05 'E'(f(suc(suc(X_602))), f(suc(suc(suc(X_602))))) |
% 8.88/9.05 'LE'(f(suc(suc(X_602))), s(s(0)))),
% 8.88/9.05 inference(subst, [],
% 8.88/9.05 [refute_0_278 : [bind(X_330, $fot(suc(suc(X_602))))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_343, plain,
% 8.88/9.05 ('E'(s(0), f(suc(suc(X_602)))) | 'LE'(f(X_602), s(0)) |
% 8.88/9.05 'LE'(f(suc(suc(X_602))), s(s(0))) |
% 8.88/9.05 iLEQ(suc(suc(suc(X_602))), suc(suc(suc(X_602))))),
% 8.88/9.05 inference(subst, [], [refute_0_338 : [bind(X_601, $fot(X_602))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_344, plain,
% 8.88/9.05 (~ 'E'(s(s(0)), f(suc(suc(X_602)))) |
% 8.88/9.05 'E'(f(suc(suc(X_602))), f(suc(suc(suc(X_602))))) |
% 8.88/9.05 'E'(s(0), f(suc(suc(X_602)))) | 'LE'(f(X_602), s(0)) |
% 8.88/9.05 'LE'(f(suc(suc(X_602))), s(s(0)))),
% 8.88/9.05 inference(resolve,
% 8.88/9.05 [$cnf(iLEQ(suc(suc(suc(X_602))), suc(suc(suc(X_602)))))],
% 8.88/9.05 [refute_0_343, refute_0_342])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_345, plain,
% 8.88/9.05 (~ 'E'(s(s(0)), f(suc(suc(X_637)))) |
% 8.88/9.05 'E'(f(suc(suc(X_637))), f(suc(suc(suc(X_637))))) |
% 8.88/9.05 'E'(s(0), f(suc(suc(X_637)))) | 'LE'(f(X_637), s(0)) |
% 8.88/9.05 'LE'(f(suc(suc(X_637))), s(s(0)))),
% 8.88/9.05 inference(subst, [], [refute_0_344 : [bind(X_602, $fot(X_637))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_346, plain,
% 8.88/9.05 ('E'(f(suc(suc(X_637))), f(suc(suc(suc(X_637))))) |
% 8.88/9.05 'E'(s(0), f(suc(suc(X_637)))) | 'LE'(f(X_637), s(0)) |
% 8.88/9.05 'LE'(f(suc(suc(X_637))), s(s(0)))),
% 8.88/9.05 inference(resolve, [$cnf('E'(s(s(0)), f(suc(suc(X_637)))))],
% 8.88/9.05 [refute_0_341, refute_0_345])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_347, plain,
% 8.88/9.05 ('E'(f(suc(suc(X_638))), f(suc(suc(suc(X_638))))) |
% 8.88/9.05 'E'(s(0), f(suc(suc(X_638)))) | 'LE'(f(X_638), s(0)) |
% 8.88/9.05 'LE'(f(suc(suc(X_638))), s(s(0)))),
% 8.88/9.05 inference(subst, [], [refute_0_346 : [bind(X_637, $fot(X_638))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_348, plain,
% 8.88/9.05 (~ 'E'(s(s(0)), f(suc(suc(X_638)))) |
% 8.88/9.05 ~ iLEQ(suc(suc(suc(X_638))), suc(suc(suc(X_638)))) |
% 8.88/9.05 'E'(s(0), f(suc(suc(X_638)))) | 'LE'(f(X_638), s(0)) |
% 8.88/9.05 'LE'(f(suc(suc(X_638))), s(s(0)))),
% 8.88/9.05 inference(resolve,
% 8.88/9.05 [$cnf('E'(f(suc(suc(X_638))), f(suc(suc(suc(X_638))))))],
% 8.88/9.05 [refute_0_347, refute_0_340])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_349, plain,
% 8.88/9.05 (~ 'E'(s(s(0)), f(suc(suc(X_737)))) |
% 8.88/9.05 ~ iLEQ(suc(suc(suc(X_737))), suc(suc(suc(X_737)))) |
% 8.88/9.05 'E'(s(0), f(suc(suc(X_737)))) | 'LE'(f(X_737), s(0)) |
% 8.88/9.05 'LE'(f(suc(suc(X_737))), s(s(0)))),
% 8.88/9.05 inference(subst, [], [refute_0_348 : [bind(X_638, $fot(X_737))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_350, plain,
% 8.88/9.05 (~ 'E'(s(s(0)), f(suc(suc(X_737)))) | 'E'(s(0), f(suc(suc(X_737)))) |
% 8.88/9.05 'LE'(f(X_737), s(0)) | 'LE'(f(suc(suc(X_737))), s(s(0)))),
% 8.88/9.05 inference(resolve,
% 8.88/9.05 [$cnf(iLEQ(suc(suc(suc(X_737))), suc(suc(suc(X_737)))))],
% 8.88/9.05 [refute_0_339, refute_0_349])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_351, plain,
% 8.88/9.05 (~ 'E'(s(s(0)), f(suc(suc(X_738)))) | 'E'(s(0), f(suc(suc(X_738)))) |
% 8.88/9.05 'LE'(f(X_738), s(0)) | 'LE'(f(suc(suc(X_738))), s(s(0)))),
% 8.88/9.05 inference(subst, [], [refute_0_350 : [bind(X_737, $fot(X_738))]])).
% 8.88/9.05
% 8.88/9.05 cnf(refute_0_352, plain,
% 8.88/9.05 ('E'(s(0), f(suc(suc(X_738)))) | 'LE'(f(X_738), s(0)) |
% 8.88/9.05 'LE'(f(suc(suc(X_738))), s(s(0)))),
% 8.88/9.05 inference(resolve, [$cnf('E'(s(s(0)), f(suc(suc(X_738)))))],
% 8.88/9.06 [refute_0_330, refute_0_351])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_353, plain,
% 8.88/9.06 ('E'(s(0), f(suc(suc(X_739)))) | 'LE'(f(X_739), s(0)) |
% 8.88/9.06 'LE'(f(suc(suc(X_739))), s(s(0)))),
% 8.88/9.06 inference(subst, [], [refute_0_352 : [bind(X_738, $fot(X_739))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_354, plain,
% 8.88/9.06 ('E'(s(0), f(suc(suc(X_739)))) | 'LE'(f(X_739), s(0))),
% 8.88/9.06 inference(resolve, [$cnf('LE'(f(suc(suc(X_739))), s(s(0))))],
% 8.88/9.06 [refute_0_353, refute_0_327])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_355, plain,
% 8.88/9.06 ('E'(s(0), f(suc(suc(X_740)))) | 'LE'(f(X_740), s(0))),
% 8.88/9.06 inference(subst, [], [refute_0_354 : [bind(X_739, $fot(X_740))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_356, plain,
% 8.88/9.06 (~ 'E'(f(X_740), f(suc(X_740))) | ~ 'E'(s(0), f(X_740)) |
% 8.88/9.06 ~ 'E'(s(0), f(suc(X_740))) | 'LE'(f(X_740), s(0)) |
% 8.88/9.06 iLEQ(suc(X_740), suc(X_740))),
% 8.88/9.06 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_740)))))],
% 8.88/9.06 [refute_0_355, refute_0_326])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_357, plain,
% 8.88/9.06 (~ 'E'(f(X_748), f(suc(X_748))) | ~ 'E'(s(0), f(X_748)) |
% 8.88/9.06 ~ 'E'(s(0), f(suc(X_748))) | 'LE'(f(X_748), s(0)) |
% 8.88/9.06 iLEQ(suc(X_748), suc(X_748))),
% 8.88/9.06 inference(subst, [], [refute_0_356 : [bind(X_740, $fot(X_748))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_358, plain,
% 8.88/9.06 (~ 'E'(f(X_748), f(suc(X_748))) | ~ 'E'(s(0), f(X_748)) |
% 8.88/9.06 'LE'(f(X_748), s(0)) | iLEQ(suc(X_748), suc(X_748))),
% 8.88/9.06 inference(resolve, [$cnf('E'(s(0), f(suc(X_748))))],
% 8.88/9.06 [refute_0_325, refute_0_357])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_359, plain,
% 8.88/9.06 (~ 'E'(f(suc(B_23)), f(suc(suc(B_23)))) | ~ 'E'(s(0), f(suc(B_23))) |
% 8.88/9.06 'LE'(f(suc(B_23)), s(0)) | iLEQ(suc(suc(B_23)), suc(suc(B_23)))),
% 8.88/9.06 inference(subst, [], [refute_0_358 : [bind(X_748, $fot(suc(B_23)))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_360, plain,
% 8.88/9.06 (~ 'E'(s(0), f(suc(B_23))) | 'E'(0, f(suc(B_23))) | 'LE'(f(B_23), 0) |
% 8.88/9.06 'LE'(f(suc(B_23)), s(0)) | iLEQ(suc(suc(B_23)), suc(suc(B_23)))),
% 8.88/9.06 inference(resolve, [$cnf('E'(f(suc(B_23)), f(suc(suc(B_23)))))],
% 8.88/9.06 [refute_0_324, refute_0_359])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_361, plain,
% 8.88/9.06 (~ 'E'(s(0), f(suc(X_784))) | 'E'(0, f(suc(X_784))) |
% 8.88/9.06 'LE'(f(X_784), 0) | 'LE'(f(suc(X_784)), s(0)) |
% 8.88/9.06 iLEQ(suc(suc(X_784)), suc(suc(X_784)))),
% 8.88/9.06 inference(subst, [], [refute_0_360 : [bind(B_23, $fot(X_784))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_362, plain,
% 8.88/9.06 ('E'(0, f(suc(X_784))) | 'LE'(f(X_784), 0) |
% 8.88/9.06 'LE'(f(suc(X_784)), s(0)) | iLEQ(suc(suc(X_784)), suc(suc(X_784)))),
% 8.88/9.06 inference(resolve, [$cnf('E'(s(0), f(suc(X_784))))],
% 8.88/9.06 [refute_0_292, refute_0_361])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_363, plain,
% 8.88/9.06 ('E'(0, f(suc(X_849))) | 'LE'(f(X_849), 0) |
% 8.88/9.06 'LE'(f(suc(X_849)), s(0)) | iLEQ(suc(suc(X_849)), suc(suc(X_849)))),
% 8.88/9.06 inference(subst, [], [refute_0_362 : [bind(X_784, $fot(X_849))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_364, plain, ('E'(s(0), f(suc(X_760))) | 'LE'(f(X_760), s(0))),
% 8.88/9.06 inference(subst, [], [refute_0_320 : [bind(X_567, $fot(X_760))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_365, plain,
% 8.88/9.06 (~ 'E'(f(X_740), f(suc(X_740))) | ~ 'E'(s(0), f(X_740)) |
% 8.88/9.06 ~ 'E'(s(0), f(suc(X_740))) | ~ 'E'(s(0), f(suc(suc(X_740)))) |
% 8.88/9.06 ~ iLEQ(suc(X_740), suc(X_740))),
% 8.88/9.06 inference(subst, [],
% 8.88/9.06 [clause_175 :
% 8.88/9.06 [bind(A_4, $fot(X_740)), bind(B_21, $fot(X_740))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_366, plain,
% 8.88/9.06 (~ 'E'(f(X_740), f(suc(X_740))) | ~ 'E'(s(0), f(X_740)) |
% 8.88/9.06 ~ 'E'(s(0), f(suc(X_740))) | ~ iLEQ(suc(X_740), suc(X_740)) |
% 8.88/9.06 'LE'(f(X_740), s(0))),
% 8.88/9.06 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_740)))))],
% 8.88/9.06 [refute_0_355, refute_0_365])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_367, plain,
% 8.88/9.06 (~ 'E'(f(X_760), f(suc(X_760))) | ~ 'E'(s(0), f(X_760)) |
% 8.88/9.06 ~ 'E'(s(0), f(suc(X_760))) | ~ iLEQ(suc(X_760), suc(X_760)) |
% 8.88/9.06 'LE'(f(X_760), s(0))),
% 8.88/9.06 inference(subst, [], [refute_0_366 : [bind(X_740, $fot(X_760))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_368, plain,
% 8.88/9.06 (~ 'E'(f(X_760), f(suc(X_760))) | ~ 'E'(s(0), f(X_760)) |
% 8.88/9.06 ~ iLEQ(suc(X_760), suc(X_760)) | 'LE'(f(X_760), s(0))),
% 8.88/9.06 inference(resolve, [$cnf('E'(s(0), f(suc(X_760))))],
% 8.88/9.06 [refute_0_364, refute_0_367])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_369, plain,
% 8.88/9.06 (~ 'E'(f(suc(X_816)), f(suc(suc(X_816)))) |
% 8.88/9.06 ~ 'E'(s(0), f(suc(X_816))) |
% 8.88/9.06 ~ iLEQ(suc(suc(X_816)), suc(suc(X_816))) | 'LE'(f(suc(X_816)), s(0))),
% 8.88/9.06 inference(subst, [],
% 8.88/9.06 [refute_0_368 : [bind(X_760, $fot(suc(X_816)))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_370, plain,
% 8.88/9.06 ('E'(0, f(suc(X_815))) | 'E'(s(0), f(suc(X_815))) | 'LE'(f(X_815), 0)),
% 8.88/9.06 inference(subst, [], [refute_0_290 : [bind(B_23, $fot(X_815))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_371, plain,
% 8.88/9.06 (~ 'E'(s(0), f(X_568)) | ~ 'E'(s(0), f(suc(X_568))) |
% 8.88/9.06 ~ iLEQ(suc(X_568), suc(X_568)) | 'E'(f(X_568), f(suc(X_568)))),
% 8.88/9.06 inference(subst, [],
% 8.88/9.06 [clause_87 :
% 8.88/9.06 [bind(A_4, $fot(X_568)), bind(B_21, $fot(X_568))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_372, plain,
% 8.88/9.06 (~ 'E'(s(0), f(X_568)) | ~ iLEQ(suc(X_568), suc(X_568)) |
% 8.88/9.06 'E'(f(X_568), f(suc(X_568))) | 'LE'(f(X_568), s(0))),
% 8.88/9.06 inference(resolve, [$cnf('E'(s(0), f(suc(X_568))))],
% 8.88/9.06 [refute_0_321, refute_0_371])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_373, plain,
% 8.88/9.06 (~ 'E'(s(0), f(suc(X_785))) |
% 8.88/9.06 ~ iLEQ(suc(suc(X_785)), suc(suc(X_785))) |
% 8.88/9.06 'E'(f(suc(X_785)), f(suc(suc(X_785)))) | 'LE'(f(suc(X_785)), s(0))),
% 8.88/9.06 inference(subst, [],
% 8.88/9.06 [refute_0_372 : [bind(X_568, $fot(suc(X_785)))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_374, plain,
% 8.88/9.06 ('E'(0, f(suc(X_785))) | 'LE'(f(X_785), 0) |
% 8.88/9.06 'LE'(f(suc(X_785)), s(0)) | iLEQ(suc(suc(X_785)), suc(suc(X_785)))),
% 8.88/9.06 inference(subst, [], [refute_0_362 : [bind(X_784, $fot(X_785))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_375, plain,
% 8.88/9.06 (~ 'E'(s(0), f(suc(X_785))) | 'E'(0, f(suc(X_785))) |
% 8.88/9.06 'E'(f(suc(X_785)), f(suc(suc(X_785)))) | 'LE'(f(X_785), 0) |
% 8.88/9.06 'LE'(f(suc(X_785)), s(0))),
% 8.88/9.06 inference(resolve, [$cnf(iLEQ(suc(suc(X_785)), suc(suc(X_785))))],
% 8.88/9.06 [refute_0_374, refute_0_373])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_376, plain,
% 8.88/9.06 (~ 'E'(s(0), f(suc(X_815))) | 'E'(0, f(suc(X_815))) |
% 8.88/9.06 'E'(f(suc(X_815)), f(suc(suc(X_815)))) | 'LE'(f(X_815), 0) |
% 8.88/9.06 'LE'(f(suc(X_815)), s(0))),
% 8.88/9.06 inference(subst, [], [refute_0_375 : [bind(X_785, $fot(X_815))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_377, plain,
% 8.88/9.06 ('E'(0, f(suc(X_815))) | 'E'(f(suc(X_815)), f(suc(suc(X_815)))) |
% 8.88/9.06 'LE'(f(X_815), 0) | 'LE'(f(suc(X_815)), s(0))),
% 8.88/9.06 inference(resolve, [$cnf('E'(s(0), f(suc(X_815))))],
% 8.88/9.06 [refute_0_370, refute_0_376])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_378, plain,
% 8.88/9.06 ('E'(0, f(suc(X_816))) | 'E'(f(suc(X_816)), f(suc(suc(X_816)))) |
% 8.88/9.06 'LE'(f(X_816), 0) | 'LE'(f(suc(X_816)), s(0))),
% 8.88/9.06 inference(subst, [], [refute_0_377 : [bind(X_815, $fot(X_816))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_379, plain,
% 8.88/9.06 (~ 'E'(s(0), f(suc(X_816))) |
% 8.88/9.06 ~ iLEQ(suc(suc(X_816)), suc(suc(X_816))) | 'E'(0, f(suc(X_816))) |
% 8.88/9.06 'LE'(f(X_816), 0) | 'LE'(f(suc(X_816)), s(0))),
% 8.88/9.06 inference(resolve, [$cnf('E'(f(suc(X_816)), f(suc(suc(X_816)))))],
% 8.88/9.06 [refute_0_378, refute_0_369])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_380, plain,
% 8.88/9.06 (~ 'E'(s(0), f(suc(X_849))) |
% 8.88/9.06 ~ iLEQ(suc(suc(X_849)), suc(suc(X_849))) | 'E'(0, f(suc(X_849))) |
% 8.88/9.06 'LE'(f(X_849), 0) | 'LE'(f(suc(X_849)), s(0))),
% 8.88/9.06 inference(subst, [], [refute_0_379 : [bind(X_816, $fot(X_849))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_381, plain,
% 8.88/9.06 (~ 'E'(s(0), f(suc(X_849))) | 'E'(0, f(suc(X_849))) |
% 8.88/9.06 'LE'(f(X_849), 0) | 'LE'(f(suc(X_849)), s(0))),
% 8.88/9.06 inference(resolve, [$cnf(iLEQ(suc(suc(X_849)), suc(suc(X_849))))],
% 8.88/9.06 [refute_0_363, refute_0_380])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_382, plain,
% 8.88/9.06 (~ 'E'(s(0), f(suc(X_850))) | 'E'(0, f(suc(X_850))) |
% 8.88/9.06 'LE'(f(X_850), 0) | 'LE'(f(suc(X_850)), s(0))),
% 8.88/9.06 inference(subst, [], [refute_0_381 : [bind(X_849, $fot(X_850))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_383, plain,
% 8.88/9.06 ('E'(0, f(suc(X_850))) | 'LE'(f(X_850), 0) |
% 8.88/9.06 'LE'(f(suc(X_850)), s(0))),
% 8.88/9.06 inference(resolve, [$cnf('E'(s(0), f(suc(X_850))))],
% 8.88/9.06 [refute_0_291, refute_0_382])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_384, plain,
% 8.88/9.06 ('E'(0, f(suc(X_851))) | 'LE'(f(X_851), 0) |
% 8.88/9.06 'LE'(f(suc(X_851)), s(0))),
% 8.88/9.06 inference(subst, [], [refute_0_383 : [bind(X_850, $fot(X_851))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_385, plain, ('E'(0, f(suc(X_851))) | 'LE'(f(X_851), 0)),
% 8.88/9.06 inference(resolve, [$cnf('LE'(f(suc(X_851)), s(0)))],
% 8.88/9.06 [refute_0_384, refute_0_0])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_386, plain, ('E'(0, f(suc(z))) | 'LE'(f(z), 0)),
% 8.88/9.06 inference(subst, [], [refute_0_385 : [bind(X_851, $fot(z))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_387, plain,
% 8.88/9.06 (~ 'LE'(f(suc(suc(X_916))), s(0)) | 'E'(0, f(suc(suc(X_916)))) |
% 8.88/9.06 'LE'(f(X_916), 0)),
% 8.88/9.06 inference(subst, [], [clause_11 : [bind(B_23, $fot(X_916))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_388, plain,
% 8.88/9.06 ('E'(s(0), f(suc(suc(B_23)))) | 'LE'(f(suc(suc(B_23))), s(0))),
% 8.88/9.06 inference(subst, [],
% 8.88/9.06 [refute_0_288 : [bind(X_455, $fot(suc(suc(B_23))))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_389, plain,
% 8.88/9.06 ('E'(0, f(suc(suc(B_23)))) | 'E'(s(0), f(suc(suc(B_23)))) |
% 8.88/9.06 'LE'(f(B_23), 0)),
% 8.88/9.06 inference(resolve, [$cnf('LE'(f(suc(suc(B_23))), s(0)))],
% 8.88/9.06 [refute_0_388, clause_11])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_390, plain,
% 8.88/9.06 ('E'(0, f(suc(suc(X_915)))) | 'E'(s(0), f(suc(suc(X_915)))) |
% 8.88/9.06 'LE'(f(X_915), 0)),
% 8.88/9.06 inference(subst, [], [refute_0_389 : [bind(B_23, $fot(X_915))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_391, plain,
% 8.88/9.06 ('E'(0, f(suc(suc(X_801)))) | 'E'(s(0), f(suc(suc(X_801)))) |
% 8.88/9.06 'LE'(f(X_801), 0)),
% 8.88/9.06 inference(subst, [], [refute_0_389 : [bind(B_23, $fot(X_801))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_392, plain,
% 8.88/9.06 (~ 'E'(f(suc(suc(X_800))), f(suc(suc(suc(X_800))))) |
% 8.88/9.06 ~ 'E'(s(0), f(suc(suc(X_800)))) | 'LE'(f(suc(suc(X_800))), s(0)) |
% 8.88/9.06 iLEQ(suc(suc(suc(X_800))), suc(suc(suc(X_800))))),
% 8.88/9.06 inference(subst, [],
% 8.88/9.06 [refute_0_358 : [bind(X_748, $fot(suc(suc(X_800))))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_393, plain,
% 8.88/9.06 (~ 'E'(s(0), f(suc(suc(B_23)))) |
% 8.88/9.06 'E'(f(suc(suc(B_23))), f(suc(suc(suc(B_23))))) |
% 8.88/9.06 'LE'(f(suc(suc(B_23))), s(0)) |
% 8.88/9.06 iLEQ(suc(suc(suc(B_23))), suc(suc(suc(B_23))))),
% 8.88/9.06 inference(subst, [],
% 8.88/9.06 [refute_0_322 : [bind(X_568, $fot(suc(suc(B_23))))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_394, plain,
% 8.88/9.06 ('E'(0, f(suc(suc(B_23)))) |
% 8.88/9.06 'E'(f(suc(suc(B_23))), f(suc(suc(suc(B_23))))) | 'LE'(f(B_23), 0) |
% 8.88/9.06 'LE'(f(suc(suc(B_23))), s(0)) |
% 8.88/9.06 iLEQ(suc(suc(suc(B_23))), suc(suc(suc(B_23))))),
% 8.88/9.06 inference(resolve, [$cnf('E'(s(0), f(suc(suc(B_23)))))],
% 8.88/9.06 [refute_0_389, refute_0_393])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_395, plain,
% 8.88/9.06 ('E'(0, f(suc(suc(X_800)))) |
% 8.88/9.06 'E'(f(suc(suc(X_800))), f(suc(suc(suc(X_800))))) | 'LE'(f(X_800), 0) |
% 8.88/9.06 'LE'(f(suc(suc(X_800))), s(0)) |
% 8.88/9.06 iLEQ(suc(suc(suc(X_800))), suc(suc(suc(X_800))))),
% 8.88/9.06 inference(subst, [], [refute_0_394 : [bind(B_23, $fot(X_800))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_396, plain,
% 8.88/9.06 (~ 'E'(s(0), f(suc(suc(X_800)))) | 'E'(0, f(suc(suc(X_800)))) |
% 8.88/9.06 'LE'(f(X_800), 0) | 'LE'(f(suc(suc(X_800))), s(0)) |
% 8.88/9.06 iLEQ(suc(suc(suc(X_800))), suc(suc(suc(X_800))))),
% 8.88/9.06 inference(resolve,
% 8.88/9.06 [$cnf('E'(f(suc(suc(X_800))), f(suc(suc(suc(X_800))))))],
% 8.88/9.06 [refute_0_395, refute_0_392])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_397, plain,
% 8.88/9.06 (~ 'E'(s(0), f(suc(suc(X_801)))) | 'E'(0, f(suc(suc(X_801)))) |
% 8.88/9.06 'LE'(f(X_801), 0) | 'LE'(f(suc(suc(X_801))), s(0)) |
% 8.88/9.06 iLEQ(suc(suc(suc(X_801))), suc(suc(suc(X_801))))),
% 8.88/9.06 inference(subst, [], [refute_0_396 : [bind(X_800, $fot(X_801))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_398, plain,
% 8.88/9.06 ('E'(0, f(suc(suc(X_801)))) | 'LE'(f(X_801), 0) |
% 8.88/9.06 'LE'(f(suc(suc(X_801))), s(0)) |
% 8.88/9.06 iLEQ(suc(suc(suc(X_801))), suc(suc(suc(X_801))))),
% 8.88/9.06 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_801)))))],
% 8.88/9.06 [refute_0_391, refute_0_397])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_399, plain,
% 8.88/9.06 ('E'(0, f(suc(suc(X_914)))) | 'LE'(f(X_914), 0) |
% 8.88/9.06 'LE'(f(suc(suc(X_914))), s(0)) |
% 8.88/9.06 iLEQ(suc(suc(suc(X_914))), suc(suc(suc(X_914))))),
% 8.88/9.06 inference(subst, [], [refute_0_398 : [bind(X_801, $fot(X_914))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_400, plain,
% 8.88/9.06 (~ 'E'(f(suc(suc(X_837))), f(suc(suc(suc(X_837))))) |
% 8.88/9.06 ~ 'E'(s(0), f(suc(suc(X_837)))) |
% 8.88/9.06 ~ iLEQ(suc(suc(suc(X_837))), suc(suc(suc(X_837)))) |
% 8.88/9.06 'LE'(f(suc(suc(X_837))), s(0))),
% 8.88/9.06 inference(subst, [],
% 8.88/9.06 [refute_0_368 : [bind(X_760, $fot(suc(suc(X_837))))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_401, plain,
% 8.88/9.06 ('E'(0, f(suc(suc(X_836)))) | 'E'(s(0), f(suc(suc(X_836)))) |
% 8.88/9.06 'LE'(f(X_836), 0)),
% 8.88/9.06 inference(subst, [], [refute_0_389 : [bind(B_23, $fot(X_836))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_402, plain,
% 8.88/9.06 (~ 'E'(s(0), f(suc(suc(X_802)))) |
% 8.88/9.06 ~ iLEQ(suc(suc(suc(X_802))), suc(suc(suc(X_802)))) |
% 8.88/9.06 'E'(f(suc(suc(X_802))), f(suc(suc(suc(X_802))))) |
% 8.88/9.06 'LE'(f(suc(suc(X_802))), s(0))),
% 8.88/9.06 inference(subst, [],
% 8.88/9.06 [refute_0_372 : [bind(X_568, $fot(suc(suc(X_802))))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_403, plain,
% 8.88/9.06 ('E'(0, f(suc(suc(X_802)))) | 'LE'(f(X_802), 0) |
% 8.88/9.06 'LE'(f(suc(suc(X_802))), s(0)) |
% 8.88/9.06 iLEQ(suc(suc(suc(X_802))), suc(suc(suc(X_802))))),
% 8.88/9.06 inference(subst, [], [refute_0_398 : [bind(X_801, $fot(X_802))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_404, plain,
% 8.88/9.06 (~ 'E'(s(0), f(suc(suc(X_802)))) | 'E'(0, f(suc(suc(X_802)))) |
% 8.88/9.06 'E'(f(suc(suc(X_802))), f(suc(suc(suc(X_802))))) | 'LE'(f(X_802), 0) |
% 8.88/9.06 'LE'(f(suc(suc(X_802))), s(0))),
% 8.88/9.06 inference(resolve,
% 8.88/9.06 [$cnf(iLEQ(suc(suc(suc(X_802))), suc(suc(suc(X_802)))))],
% 8.88/9.06 [refute_0_403, refute_0_402])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_405, plain,
% 8.88/9.06 (~ 'E'(s(0), f(suc(suc(X_836)))) | 'E'(0, f(suc(suc(X_836)))) |
% 8.88/9.06 'E'(f(suc(suc(X_836))), f(suc(suc(suc(X_836))))) | 'LE'(f(X_836), 0) |
% 8.88/9.06 'LE'(f(suc(suc(X_836))), s(0))),
% 8.88/9.06 inference(subst, [], [refute_0_404 : [bind(X_802, $fot(X_836))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_406, plain,
% 8.88/9.06 ('E'(0, f(suc(suc(X_836)))) |
% 8.88/9.06 'E'(f(suc(suc(X_836))), f(suc(suc(suc(X_836))))) | 'LE'(f(X_836), 0) |
% 8.88/9.06 'LE'(f(suc(suc(X_836))), s(0))),
% 8.88/9.06 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_836)))))],
% 8.88/9.06 [refute_0_401, refute_0_405])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_407, plain,
% 8.88/9.06 ('E'(0, f(suc(suc(X_837)))) |
% 8.88/9.06 'E'(f(suc(suc(X_837))), f(suc(suc(suc(X_837))))) | 'LE'(f(X_837), 0) |
% 8.88/9.06 'LE'(f(suc(suc(X_837))), s(0))),
% 8.88/9.06 inference(subst, [], [refute_0_406 : [bind(X_836, $fot(X_837))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_408, plain,
% 8.88/9.06 (~ 'E'(s(0), f(suc(suc(X_837)))) |
% 8.88/9.06 ~ iLEQ(suc(suc(suc(X_837))), suc(suc(suc(X_837)))) |
% 8.88/9.06 'E'(0, f(suc(suc(X_837)))) | 'LE'(f(X_837), 0) |
% 8.88/9.06 'LE'(f(suc(suc(X_837))), s(0))),
% 8.88/9.06 inference(resolve,
% 8.88/9.06 [$cnf('E'(f(suc(suc(X_837))), f(suc(suc(suc(X_837))))))],
% 8.88/9.06 [refute_0_407, refute_0_400])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_409, plain,
% 8.88/9.06 (~ 'E'(s(0), f(suc(suc(X_914)))) |
% 8.88/9.06 ~ iLEQ(suc(suc(suc(X_914))), suc(suc(suc(X_914)))) |
% 8.88/9.06 'E'(0, f(suc(suc(X_914)))) | 'LE'(f(X_914), 0) |
% 8.88/9.06 'LE'(f(suc(suc(X_914))), s(0))),
% 8.88/9.06 inference(subst, [], [refute_0_408 : [bind(X_837, $fot(X_914))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_410, plain,
% 8.88/9.06 (~ 'E'(s(0), f(suc(suc(X_914)))) | 'E'(0, f(suc(suc(X_914)))) |
% 8.88/9.06 'LE'(f(X_914), 0) | 'LE'(f(suc(suc(X_914))), s(0))),
% 8.88/9.06 inference(resolve,
% 8.88/9.06 [$cnf(iLEQ(suc(suc(suc(X_914))), suc(suc(suc(X_914)))))],
% 8.88/9.06 [refute_0_399, refute_0_409])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_411, plain,
% 8.88/9.06 (~ 'E'(s(0), f(suc(suc(X_915)))) | 'E'(0, f(suc(suc(X_915)))) |
% 8.88/9.06 'LE'(f(X_915), 0) | 'LE'(f(suc(suc(X_915))), s(0))),
% 8.88/9.06 inference(subst, [], [refute_0_410 : [bind(X_914, $fot(X_915))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_412, plain,
% 8.88/9.06 ('E'(0, f(suc(suc(X_915)))) | 'LE'(f(X_915), 0) |
% 8.88/9.06 'LE'(f(suc(suc(X_915))), s(0))),
% 8.88/9.06 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_915)))))],
% 8.88/9.06 [refute_0_390, refute_0_411])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_413, plain,
% 8.88/9.06 ('E'(0, f(suc(suc(X_916)))) | 'LE'(f(X_916), 0) |
% 8.88/9.06 'LE'(f(suc(suc(X_916))), s(0))),
% 8.88/9.06 inference(subst, [], [refute_0_412 : [bind(X_915, $fot(X_916))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_414, plain, ('E'(0, f(suc(suc(X_916)))) | 'LE'(f(X_916), 0)),
% 8.88/9.06 inference(resolve, [$cnf('LE'(f(suc(suc(X_916))), s(0)))],
% 8.88/9.06 [refute_0_413, refute_0_387])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_415, plain, ('E'(0, f(suc(suc(z)))) | 'LE'(f(z), 0)),
% 8.88/9.06 inference(subst, [], [refute_0_414 : [bind(X_916, $fot(z))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_416, plain,
% 8.88/9.06 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 8.88/9.06 ~ 'E'(f(z), f(suc(z))) | ~ iLEQ(suc(z), suc(z))),
% 8.88/9.06 inference(subst, [],
% 8.88/9.06 [clause_105 : [bind(A_5, $fot(z)), bind(B_24, $fot(z))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_417, plain,
% 8.88/9.06 (~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) | ~ iLEQ(suc(z), suc(z)) |
% 8.88/9.06 'E'(f(z), f(suc(z)))),
% 8.88/9.06 inference(subst, [],
% 8.88/9.06 [clause_169 : [bind(A_5, $fot(z)), bind(B_24, $fot(z))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_418, plain,
% 8.88/9.06 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 8.88/9.06 ~ 'E'(f(z), f(suc(z))) | iLEQ(suc(z), suc(z))),
% 8.88/9.06 inference(subst, [], [clause_44 : [bind(A_5, $fot(z))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_419, plain,
% 8.88/9.06 (~ 'LE'(f(X_782), s(0)) | 'E'(0, f(X_782)) | 'LE'(f(X_782), 0)),
% 8.88/9.06 inference(subst, [], [clause_173 : [bind(B_23, $fot(X_782))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_420, plain,
% 8.88/9.06 (~ 'LE'(f(X_456), s(0)) | 'E'(0, f(X_456)) | 'LE'(f(X_456), 0)),
% 8.88/9.06 inference(subst, [], [clause_173 : [bind(B_23, $fot(X_456))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_421, plain, ('E'(s(0), f(X_456)) | 'LE'(f(X_456), s(0))),
% 8.88/9.06 inference(subst, [], [refute_0_288 : [bind(X_455, $fot(X_456))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_422, plain,
% 8.88/9.06 ('E'(0, f(X_456)) | 'E'(s(0), f(X_456)) | 'LE'(f(X_456), 0)),
% 8.88/9.06 inference(resolve, [$cnf('LE'(f(X_456), s(0)))],
% 8.88/9.06 [refute_0_421, refute_0_420])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_423, plain,
% 8.88/9.06 ('E'(0, f(X_781)) | 'E'(s(0), f(X_781)) | 'LE'(f(X_781), 0)),
% 8.88/9.06 inference(subst, [], [refute_0_422 : [bind(X_456, $fot(X_781))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_424, plain,
% 8.88/9.06 ('E'(0, f(X_758)) | 'E'(s(0), f(X_758)) | 'LE'(f(X_758), 0)),
% 8.88/9.06 inference(subst, [], [refute_0_422 : [bind(X_456, $fot(X_758))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_425, plain,
% 8.88/9.06 ('E'(0, f(X_570)) | 'E'(s(0), f(X_570)) | 'LE'(f(X_570), 0)),
% 8.88/9.06 inference(subst, [], [refute_0_422 : [bind(X_456, $fot(X_570))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_426, plain,
% 8.88/9.06 (~ 'E'(s(0), f(X_570)) | 'E'(f(X_570), f(suc(X_570))) |
% 8.88/9.06 'LE'(f(X_570), s(0)) | iLEQ(suc(X_570), suc(X_570))),
% 8.88/9.06 inference(subst, [], [refute_0_322 : [bind(X_568, $fot(X_570))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_427, plain,
% 8.88/9.06 ('E'(0, f(X_570)) | 'E'(f(X_570), f(suc(X_570))) | 'LE'(f(X_570), 0) |
% 8.88/9.06 'LE'(f(X_570), s(0)) | iLEQ(suc(X_570), suc(X_570))),
% 8.88/9.06 inference(resolve, [$cnf('E'(s(0), f(X_570)))],
% 8.88/9.06 [refute_0_425, refute_0_426])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_428, plain,
% 8.88/9.06 ('E'(0, f(X_749)) | 'E'(f(X_749), f(suc(X_749))) | 'LE'(f(X_749), 0) |
% 8.88/9.06 'LE'(f(X_749), s(0)) | iLEQ(suc(X_749), suc(X_749))),
% 8.88/9.06 inference(subst, [], [refute_0_427 : [bind(X_570, $fot(X_749))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_429, plain,
% 8.88/9.06 (~ 'E'(f(X_749), f(suc(X_749))) | ~ 'E'(s(0), f(X_749)) |
% 8.88/9.06 'LE'(f(X_749), s(0)) | iLEQ(suc(X_749), suc(X_749))),
% 8.88/9.06 inference(subst, [], [refute_0_358 : [bind(X_748, $fot(X_749))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_430, plain,
% 8.88/9.06 (~ 'E'(s(0), f(X_749)) | 'E'(0, f(X_749)) | 'LE'(f(X_749), 0) |
% 8.88/9.06 'LE'(f(X_749), s(0)) | iLEQ(suc(X_749), suc(X_749))),
% 8.88/9.06 inference(resolve, [$cnf('E'(f(X_749), f(suc(X_749))))],
% 8.88/9.06 [refute_0_428, refute_0_429])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_431, plain,
% 8.88/9.06 (~ 'E'(s(0), f(X_758)) | 'E'(0, f(X_758)) | 'LE'(f(X_758), 0) |
% 8.88/9.06 'LE'(f(X_758), s(0)) | iLEQ(suc(X_758), suc(X_758))),
% 8.88/9.06 inference(subst, [], [refute_0_430 : [bind(X_749, $fot(X_758))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_432, plain,
% 8.88/9.06 ('E'(0, f(X_758)) | 'LE'(f(X_758), 0) | 'LE'(f(X_758), s(0)) |
% 8.88/9.06 iLEQ(suc(X_758), suc(X_758))),
% 8.88/9.06 inference(resolve, [$cnf('E'(s(0), f(X_758)))],
% 8.88/9.06 [refute_0_424, refute_0_431])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_433, plain,
% 8.88/9.06 ('E'(0, f(X_780)) | 'LE'(f(X_780), 0) | 'LE'(f(X_780), s(0)) |
% 8.88/9.06 iLEQ(suc(X_780), suc(X_780))),
% 8.88/9.06 inference(subst, [], [refute_0_432 : [bind(X_758, $fot(X_780))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_434, plain,
% 8.88/9.06 (~ 'E'(f(X_773), f(suc(X_773))) | ~ 'E'(s(0), f(X_773)) |
% 8.88/9.06 ~ iLEQ(suc(X_773), suc(X_773)) | 'LE'(f(X_773), s(0))),
% 8.88/9.06 inference(subst, [], [refute_0_368 : [bind(X_760, $fot(X_773))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_435, plain,
% 8.88/9.06 ('E'(0, f(X_772)) | 'E'(s(0), f(X_772)) | 'LE'(f(X_772), 0)),
% 8.88/9.06 inference(subst, [], [refute_0_422 : [bind(X_456, $fot(X_772))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_436, plain,
% 8.88/9.06 (~ 'E'(s(0), f(X_759)) | ~ iLEQ(suc(X_759), suc(X_759)) |
% 8.88/9.06 'E'(f(X_759), f(suc(X_759))) | 'LE'(f(X_759), s(0))),
% 8.88/9.06 inference(subst, [], [refute_0_372 : [bind(X_568, $fot(X_759))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_437, plain,
% 8.88/9.06 ('E'(0, f(X_759)) | 'LE'(f(X_759), 0) | 'LE'(f(X_759), s(0)) |
% 8.88/9.06 iLEQ(suc(X_759), suc(X_759))),
% 8.88/9.06 inference(subst, [], [refute_0_432 : [bind(X_758, $fot(X_759))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_438, plain,
% 8.88/9.06 (~ 'E'(s(0), f(X_759)) | 'E'(0, f(X_759)) |
% 8.88/9.06 'E'(f(X_759), f(suc(X_759))) | 'LE'(f(X_759), 0) |
% 8.88/9.06 'LE'(f(X_759), s(0))),
% 8.88/9.06 inference(resolve, [$cnf(iLEQ(suc(X_759), suc(X_759)))],
% 8.88/9.06 [refute_0_437, refute_0_436])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_439, plain,
% 8.88/9.06 (~ 'E'(s(0), f(X_772)) | 'E'(0, f(X_772)) |
% 8.88/9.06 'E'(f(X_772), f(suc(X_772))) | 'LE'(f(X_772), 0) |
% 8.88/9.06 'LE'(f(X_772), s(0))),
% 8.88/9.06 inference(subst, [], [refute_0_438 : [bind(X_759, $fot(X_772))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_440, plain,
% 8.88/9.06 ('E'(0, f(X_772)) | 'E'(f(X_772), f(suc(X_772))) | 'LE'(f(X_772), 0) |
% 8.88/9.06 'LE'(f(X_772), s(0))),
% 8.88/9.06 inference(resolve, [$cnf('E'(s(0), f(X_772)))],
% 8.88/9.06 [refute_0_435, refute_0_439])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_441, plain,
% 8.88/9.06 ('E'(0, f(X_773)) | 'E'(f(X_773), f(suc(X_773))) | 'LE'(f(X_773), 0) |
% 8.88/9.06 'LE'(f(X_773), s(0))),
% 8.88/9.06 inference(subst, [], [refute_0_440 : [bind(X_772, $fot(X_773))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_442, plain,
% 8.88/9.06 (~ 'E'(s(0), f(X_773)) | ~ iLEQ(suc(X_773), suc(X_773)) |
% 8.88/9.06 'E'(0, f(X_773)) | 'LE'(f(X_773), 0) | 'LE'(f(X_773), s(0))),
% 8.88/9.06 inference(resolve, [$cnf('E'(f(X_773), f(suc(X_773))))],
% 8.88/9.06 [refute_0_441, refute_0_434])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_443, plain,
% 8.88/9.06 (~ 'E'(s(0), f(X_780)) | ~ iLEQ(suc(X_780), suc(X_780)) |
% 8.88/9.06 'E'(0, f(X_780)) | 'LE'(f(X_780), 0) | 'LE'(f(X_780), s(0))),
% 8.88/9.06 inference(subst, [], [refute_0_442 : [bind(X_773, $fot(X_780))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_444, plain,
% 8.88/9.06 (~ 'E'(s(0), f(X_780)) | 'E'(0, f(X_780)) | 'LE'(f(X_780), 0) |
% 8.88/9.06 'LE'(f(X_780), s(0))),
% 8.88/9.06 inference(resolve, [$cnf(iLEQ(suc(X_780), suc(X_780)))],
% 8.88/9.06 [refute_0_433, refute_0_443])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_445, plain,
% 8.88/9.06 (~ 'E'(s(0), f(X_781)) | 'E'(0, f(X_781)) | 'LE'(f(X_781), 0) |
% 8.88/9.06 'LE'(f(X_781), s(0))),
% 8.88/9.06 inference(subst, [], [refute_0_444 : [bind(X_780, $fot(X_781))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_446, plain,
% 8.88/9.06 ('E'(0, f(X_781)) | 'LE'(f(X_781), 0) | 'LE'(f(X_781), s(0))),
% 8.88/9.06 inference(resolve, [$cnf('E'(s(0), f(X_781)))],
% 8.88/9.06 [refute_0_423, refute_0_445])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_447, plain,
% 8.88/9.06 ('E'(0, f(X_782)) | 'LE'(f(X_782), 0) | 'LE'(f(X_782), s(0))),
% 8.88/9.06 inference(subst, [], [refute_0_446 : [bind(X_781, $fot(X_782))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_448, plain, ('E'(0, f(X_782)) | 'LE'(f(X_782), 0)),
% 8.88/9.06 inference(resolve, [$cnf('LE'(f(X_782), s(0)))],
% 8.88/9.06 [refute_0_447, refute_0_419])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_449, plain, ('E'(0, f(z)) | 'LE'(f(z), 0)),
% 8.88/9.06 inference(subst, [], [refute_0_448 : [bind(X_782, $fot(z))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_450, plain, ('E'(0, f(z))),
% 8.88/9.06 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_449, clause_96])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_451, plain,
% 8.88/9.06 (~ 'E'(0, f(X_852)) | ~ 'E'(0, f(suc(X_852))) |
% 8.88/9.06 'E'(f(X_852), f(suc(X_852))) | iLEQ(suc(X_852), suc(X_852))),
% 8.88/9.06 inference(subst, [], [clause_19 : [bind(A_5, $fot(X_852))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_452, plain, ('E'(0, f(suc(X_852))) | 'LE'(f(X_852), 0)),
% 8.88/9.06 inference(subst, [], [refute_0_385 : [bind(X_851, $fot(X_852))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_453, plain,
% 8.88/9.06 (~ 'E'(0, f(X_852)) | 'E'(f(X_852), f(suc(X_852))) |
% 8.88/9.06 'LE'(f(X_852), 0) | iLEQ(suc(X_852), suc(X_852))),
% 8.88/9.06 inference(resolve, [$cnf('E'(0, f(suc(X_852))))],
% 8.88/9.06 [refute_0_452, refute_0_451])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_454, plain,
% 8.88/9.06 (~ 'E'(0, f(z)) | 'E'(f(z), f(suc(z))) | 'LE'(f(z), 0) |
% 8.88/9.06 iLEQ(suc(z), suc(z))),
% 8.88/9.06 inference(subst, [], [refute_0_453 : [bind(X_852, $fot(z))]])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_455, plain,
% 8.88/9.06 ('E'(f(z), f(suc(z))) | 'LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 8.88/9.06 inference(resolve, [$cnf('E'(0, f(z)))],
% 8.88/9.06 [refute_0_450, refute_0_454])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_456, plain, ('E'(f(z), f(suc(z))) | iLEQ(suc(z), suc(z))),
% 8.88/9.06 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_455, clause_96])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_457, plain,
% 8.88/9.06 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 8.88/9.06 iLEQ(suc(z), suc(z))),
% 8.88/9.06 inference(resolve, [$cnf('E'(f(z), f(suc(z))))],
% 8.88/9.06 [refute_0_456, refute_0_418])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_458, plain,
% 8.88/9.06 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) |
% 8.88/9.06 iLEQ(suc(z), suc(z))),
% 8.88/9.06 inference(resolve, [$cnf('E'(0, f(z)))],
% 8.88/9.06 [refute_0_450, refute_0_457])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_459, plain,
% 8.88/9.06 (~ 'E'(0, f(suc(z))) | 'LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 8.88/9.06 inference(resolve, [$cnf('E'(0, f(suc(suc(z)))))],
% 8.88/9.06 [refute_0_415, refute_0_458])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_460, plain, (~ 'E'(0, f(suc(z))) | iLEQ(suc(z), suc(z))),
% 8.88/9.06 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_459, clause_96])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_461, plain, ('LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 8.88/9.06 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 8.88/9.06 [refute_0_386, refute_0_460])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_462, plain, (iLEQ(suc(z), suc(z))),
% 8.88/9.06 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_461, clause_96])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_463, plain,
% 8.88/9.06 (~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) | 'E'(f(z), f(suc(z)))),
% 8.88/9.06 inference(resolve, [$cnf(iLEQ(suc(z), suc(z)))],
% 8.88/9.06 [refute_0_462, refute_0_417])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_464, plain, (~ 'E'(0, f(suc(z))) | 'E'(f(z), f(suc(z)))),
% 8.88/9.06 inference(resolve, [$cnf('E'(0, f(z)))],
% 8.88/9.06 [refute_0_450, refute_0_463])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_465, plain, ('E'(f(z), f(suc(z))) | 'LE'(f(z), 0)),
% 8.88/9.06 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 8.88/9.06 [refute_0_386, refute_0_464])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_466, plain, ('E'(f(z), f(suc(z)))),
% 8.88/9.06 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_465, clause_96])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_467, plain,
% 8.88/9.06 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 8.88/9.06 ~ iLEQ(suc(z), suc(z))),
% 8.88/9.06 inference(resolve, [$cnf('E'(f(z), f(suc(z))))],
% 8.88/9.06 [refute_0_466, refute_0_416])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_468, plain,
% 8.88/9.06 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) |
% 8.88/9.06 ~ iLEQ(suc(z), suc(z))),
% 8.88/9.06 inference(resolve, [$cnf('E'(0, f(z)))],
% 8.88/9.06 [refute_0_450, refute_0_467])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_469, plain, (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z)))),
% 8.88/9.06 inference(resolve, [$cnf(iLEQ(suc(z), suc(z)))],
% 8.88/9.06 [refute_0_462, refute_0_468])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_470, plain, (~ 'E'(0, f(suc(z))) | 'LE'(f(z), 0)),
% 8.88/9.06 inference(resolve, [$cnf('E'(0, f(suc(suc(z)))))],
% 8.88/9.06 [refute_0_415, refute_0_469])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_471, plain, (~ 'E'(0, f(suc(z)))),
% 8.88/9.06 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_470, clause_96])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_472, plain, ('LE'(f(z), 0)),
% 8.88/9.06 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 8.88/9.06 [refute_0_386, refute_0_471])).
% 8.88/9.06
% 8.88/9.06 cnf(refute_0_473, plain, ($false),
% 8.88/9.06 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_472, clause_96])).
% 8.88/9.06 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.88/9.06
%------------------------------------------------------------------------------