TSTP Solution File: SYO630-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYO630-1 : TPTP v8.1.0. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 18:40:32 EDT 2022
% Result : Unsatisfiable 0.21s 0.51s
% Output : CNFRefutation 0.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYO630-1 : TPTP v8.1.0. Released v7.1.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jul 8 23:15:16 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.21/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.51
% 0.21/0.51 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.52 cnf(clause_8_01, axiom,
% 0.37/0.52 ('E'(s(s(s(s(s(0))))), f(A)) | 'LE'(f(A), s(s(s(s(s(0)))))))).
% 0.37/0.52
% 0.37/0.52 cnf(clause_13_02, axiom, (iLEQ(A_2, g(A_2)))).
% 0.37/0.52
% 0.37/0.52 cnf(clause_18_04, axiom, (iLEQ(A_14, A_14))).
% 0.37/0.52
% 0.37/0.52 cnf(clause_31_05, axiom, (~ 'E'(f(A_8), f(g(A_8))))).
% 0.37/0.52
% 0.37/0.52 cnf(clause_1_06, axiom,
% 0.37/0.52 (~ 'LE'(f(A_13), s(0)) | ~ iLEQ(A_13, B_8) | 'E'(0, f(B_8)) |
% 0.37/0.52 'LE'(f(B_8), 0))).
% 0.37/0.52
% 0.37/0.52 cnf(clause_6_07, axiom, (~ 'LE'(f(A_15), 0))).
% 0.37/0.52
% 0.37/0.52 cnf(clause_3_10, axiom,
% 0.37/0.52 (~ 'E'(s(s(s(s(s(0))))), f(A_2)) | ~ 'E'(s(s(s(s(s(0))))), f(g(A_2))) |
% 0.37/0.52 'E'(f(A_2), f(g(A_2))))).
% 0.37/0.52
% 0.37/0.52 cnf(clause_21_11, axiom,
% 0.37/0.52 (~ 'E'(s(s(s(0))), f(A_8)) | ~ 'E'(s(s(s(0))), f(g(A_8))) |
% 0.37/0.52 'E'(f(A_8), f(g(A_8))))).
% 0.37/0.52
% 0.37/0.52 cnf(clause_27_12, axiom,
% 0.37/0.52 (~ 'E'(s(s(0)), f(A_11)) | ~ 'E'(s(s(0)), f(g(A_11))) |
% 0.37/0.52 'E'(f(A_11), f(g(A_11))))).
% 0.37/0.52
% 0.37/0.52 cnf(clause_30_13, axiom,
% 0.37/0.52 (~ 'E'(s(0), f(A_14)) | ~ 'E'(s(0), f(g(A_14))) |
% 0.37/0.52 'E'(f(A_14), f(g(A_14))))).
% 0.37/0.52
% 0.37/0.52 cnf(clause_16_15, axiom,
% 0.37/0.52 (~ 'LE'(f(A_7), s(s(s(0)))) | ~ iLEQ(A_7, B_4) | 'E'(s(s(0)), f(B_4)) |
% 0.37/0.52 'LE'(f(B_4), s(s(0))))).
% 0.37/0.52
% 0.37/0.52 cnf(clause_7_16, axiom,
% 0.37/0.52 (~ 'LE'(f(A_1), s(s(s(s(s(0)))))) | ~ iLEQ(A_1, B_0) |
% 0.37/0.52 'E'(s(s(s(s(0)))), f(B_0)) | 'LE'(f(B_0), s(s(s(s(0))))))).
% 0.37/0.52
% 0.37/0.52 cnf(clause_26_17, axiom,
% 0.37/0.52 (~ 'LE'(f(A_4), s(s(s(s(0))))) | ~ iLEQ(A_4, B_2) |
% 0.37/0.52 'E'(s(s(s(0))), f(B_2)) | 'LE'(f(B_2), s(s(s(0)))))).
% 0.37/0.52
% 0.37/0.52 cnf(clause_29_24, axiom,
% 0.37/0.52 (~ 'E'(0, f(A_15)) | ~ 'E'(0, f(g(A_15))) | 'E'(f(A_15), f(g(A_15))))).
% 0.37/0.52
% 0.37/0.52 cnf(clause_12_30, axiom,
% 0.37/0.52 (~ 'E'(s(s(s(s(0)))), f(A_5)) | ~ 'E'(s(s(s(s(0)))), f(g(A_5))) |
% 0.37/0.52 'E'(f(A_5), f(g(A_5))))).
% 0.37/0.52
% 0.37/0.52 cnf(clause_17_32, axiom,
% 0.37/0.52 (~ 'LE'(f(A_10), s(s(0))) | ~ iLEQ(A_10, B_6) | 'E'(s(0), f(B_6)) |
% 0.37/0.52 'LE'(f(B_6), s(0)))).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_0, plain, (~ 'E'(f(A_14), f(g(A_14)))),
% 0.37/0.52 inference(subst, [], [clause_31_05 : [bind(A_8, $fot(A_14))]])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_1, plain, (~ 'E'(s(0), f(A_14)) | ~ 'E'(s(0), f(g(A_14)))),
% 0.37/0.52 inference(resolve, [$cnf('E'(f(A_14), f(g(A_14))))],
% 0.37/0.52 [clause_30_13, refute_0_0])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_2, plain,
% 0.37/0.52 (~ 'E'(s(0), f(g(g(g(X_147))))) | ~ 'E'(s(0), f(g(g(g(g(X_147))))))),
% 0.37/0.52 inference(subst, [],
% 0.37/0.52 [refute_0_1 : [bind(A_14, $fot(g(g(g(X_147)))))]])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_3, plain, (iLEQ(X_12, X_12)),
% 0.37/0.52 inference(subst, [], [clause_18_04 : [bind(A_14, $fot(X_12))]])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_4, plain, (~ 'LE'(f(B_8), 0)),
% 0.37/0.52 inference(subst, [], [clause_6_07 : [bind(A_15, $fot(B_8))]])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_5, plain,
% 0.37/0.52 (~ 'LE'(f(A_13), s(0)) | ~ iLEQ(A_13, B_8) | 'E'(0, f(B_8))),
% 0.37/0.52 inference(resolve, [$cnf('LE'(f(B_8), 0))],
% 0.37/0.52 [clause_1_06, refute_0_4])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_6, plain,
% 0.37/0.52 (~ 'LE'(f(X_12), s(0)) | ~ iLEQ(X_12, X_12) | 'E'(0, f(X_12))),
% 0.37/0.52 inference(subst, [],
% 0.37/0.52 [refute_0_5 :
% 0.37/0.52 [bind(A_13, $fot(X_12)), bind(B_8, $fot(X_12))]])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_7, plain, (~ 'LE'(f(X_12), s(0)) | 'E'(0, f(X_12))),
% 0.37/0.52 inference(resolve, [$cnf(iLEQ(X_12, X_12))],
% 0.37/0.52 [refute_0_3, refute_0_6])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_8, plain,
% 0.37/0.52 (~ 'LE'(f(g(g(g(g(X_146))))), s(0)) | 'E'(0, f(g(g(g(g(X_146))))))),
% 0.37/0.52 inference(subst, [],
% 0.37/0.52 [refute_0_7 : [bind(X_12, $fot(g(g(g(g(X_146))))))]])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_9, plain, (~ 'E'(f(A_11), f(g(A_11)))),
% 0.37/0.52 inference(subst, [], [clause_31_05 : [bind(A_8, $fot(A_11))]])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_10, plain,
% 0.37/0.52 (~ 'E'(s(s(0)), f(A_11)) | ~ 'E'(s(s(0)), f(g(A_11)))),
% 0.37/0.52 inference(resolve, [$cnf('E'(f(A_11), f(g(A_11))))],
% 0.37/0.52 [clause_27_12, refute_0_9])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_11, plain,
% 0.37/0.52 (~ 'E'(s(s(0)), f(g(g(X_96)))) | ~ 'E'(s(s(0)), f(g(g(g(X_96)))))),
% 0.37/0.52 inference(subst, [], [refute_0_10 : [bind(A_11, $fot(g(g(X_96))))]])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_12, plain, (iLEQ(X_16, X_16)),
% 0.37/0.52 inference(subst, [], [clause_18_04 : [bind(A_14, $fot(X_16))]])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_13, plain,
% 0.37/0.52 (~ 'LE'(f(X_16), s(s(0))) | ~ iLEQ(X_16, X_16) | 'E'(s(0), f(X_16)) |
% 0.37/0.52 'LE'(f(X_16), s(0))),
% 0.37/0.52 inference(subst, [],
% 0.37/0.52 [clause_17_32 :
% 0.37/0.52 [bind(A_10, $fot(X_16)), bind(B_6, $fot(X_16))]])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_14, plain,
% 0.37/0.52 (~ 'LE'(f(X_16), s(s(0))) | 'E'(s(0), f(X_16)) | 'LE'(f(X_16), s(0))),
% 0.37/0.52 inference(resolve, [$cnf(iLEQ(X_16, X_16))],
% 0.37/0.52 [refute_0_12, refute_0_13])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_15, plain,
% 0.37/0.52 (~ 'LE'(f(g(g(g(X_95)))), s(s(0))) | 'E'(s(0), f(g(g(g(X_95))))) |
% 0.37/0.52 'LE'(f(g(g(g(X_95)))), s(0))),
% 0.37/0.52 inference(subst, [],
% 0.37/0.52 [refute_0_14 : [bind(X_16, $fot(g(g(g(X_95)))))]])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_16, plain,
% 0.37/0.52 (~ 'E'(s(s(s(0))), f(A_8)) | ~ 'E'(s(s(s(0))), f(g(A_8)))),
% 0.37/0.52 inference(resolve, [$cnf('E'(f(A_8), f(g(A_8))))],
% 0.37/0.52 [clause_21_11, clause_31_05])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_17, plain,
% 0.37/0.52 (~ 'E'(s(s(s(0))), f(g(X_58))) | ~ 'E'(s(s(s(0))), f(g(g(X_58))))),
% 0.37/0.52 inference(subst, [], [refute_0_16 : [bind(A_8, $fot(g(X_58)))]])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_18, plain, (iLEQ(X_20, X_20)),
% 0.37/0.52 inference(subst, [], [clause_18_04 : [bind(A_14, $fot(X_20))]])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_19, plain,
% 0.37/0.52 (~ 'LE'(f(X_20), s(s(s(0)))) | ~ iLEQ(X_20, X_20) |
% 0.37/0.52 'E'(s(s(0)), f(X_20)) | 'LE'(f(X_20), s(s(0)))),
% 0.37/0.52 inference(subst, [],
% 0.37/0.52 [clause_16_15 :
% 0.37/0.52 [bind(A_7, $fot(X_20)), bind(B_4, $fot(X_20))]])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_20, plain,
% 0.37/0.52 (~ 'LE'(f(X_20), s(s(s(0)))) | 'E'(s(s(0)), f(X_20)) |
% 0.37/0.52 'LE'(f(X_20), s(s(0)))),
% 0.37/0.52 inference(resolve, [$cnf(iLEQ(X_20, X_20))],
% 0.37/0.52 [refute_0_18, refute_0_19])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_21, plain,
% 0.37/0.52 (~ 'LE'(f(g(g(X_57))), s(s(s(0)))) | 'E'(s(s(0)), f(g(g(X_57)))) |
% 0.37/0.52 'LE'(f(g(g(X_57))), s(s(0)))),
% 0.37/0.52 inference(subst, [], [refute_0_20 : [bind(X_20, $fot(g(g(X_57))))]])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_22, plain, (~ 'E'(f(A_5), f(g(A_5)))),
% 0.37/0.52 inference(subst, [], [clause_31_05 : [bind(A_8, $fot(A_5))]])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_23, plain,
% 0.37/0.52 (~ 'E'(s(s(s(s(0)))), f(A_5)) | ~ 'E'(s(s(s(s(0)))), f(g(A_5)))),
% 0.37/0.52 inference(resolve, [$cnf('E'(f(A_5), f(g(A_5))))],
% 0.37/0.52 [clause_12_30, refute_0_22])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_24, plain,
% 0.37/0.52 (~ 'E'(s(s(s(s(0)))), f(X_40)) | ~ 'E'(s(s(s(s(0)))), f(g(X_40)))),
% 0.37/0.52 inference(subst, [], [refute_0_23 : [bind(A_5, $fot(X_40))]])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_25, plain, (iLEQ(X_24, X_24)),
% 0.37/0.52 inference(subst, [], [clause_18_04 : [bind(A_14, $fot(X_24))]])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_26, plain,
% 0.37/0.52 (~ 'LE'(f(X_24), s(s(s(s(0))))) | ~ iLEQ(X_24, X_24) |
% 0.37/0.52 'E'(s(s(s(0))), f(X_24)) | 'LE'(f(X_24), s(s(s(0))))),
% 0.37/0.52 inference(subst, [],
% 0.37/0.52 [clause_26_17 :
% 0.37/0.52 [bind(A_4, $fot(X_24)), bind(B_2, $fot(X_24))]])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_27, plain,
% 0.37/0.52 (~ 'LE'(f(X_24), s(s(s(s(0))))) | 'E'(s(s(s(0))), f(X_24)) |
% 0.37/0.52 'LE'(f(X_24), s(s(s(0))))),
% 0.37/0.52 inference(resolve, [$cnf(iLEQ(X_24, X_24))],
% 0.37/0.52 [refute_0_25, refute_0_26])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_28, plain,
% 0.37/0.52 (~ 'LE'(f(g(X_39)), s(s(s(s(0))))) | 'E'(s(s(s(0))), f(g(X_39))) |
% 0.37/0.52 'LE'(f(g(X_39)), s(s(s(0))))),
% 0.37/0.52 inference(subst, [], [refute_0_27 : [bind(X_24, $fot(g(X_39)))]])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_29, plain, (~ 'E'(f(A_2), f(g(A_2)))),
% 0.37/0.52 inference(subst, [], [clause_31_05 : [bind(A_8, $fot(A_2))]])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_30, plain,
% 0.37/0.52 (~ 'E'(s(s(s(s(s(0))))), f(A_2)) | ~ 'E'(s(s(s(s(s(0))))), f(g(A_2)))),
% 0.37/0.52 inference(resolve, [$cnf('E'(f(A_2), f(g(A_2))))],
% 0.37/0.52 [clause_3_10, refute_0_29])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_31, plain,
% 0.37/0.52 ('E'(s(s(s(s(s(0))))), f(X_31)) | 'LE'(f(X_31), s(s(s(s(s(0))))))),
% 0.37/0.52 inference(subst, [], [clause_8_01 : [bind(A, $fot(X_31))]])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_32, plain, (iLEQ(X_28, X_28)),
% 0.37/0.52 inference(subst, [], [clause_18_04 : [bind(A_14, $fot(X_28))]])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_33, plain,
% 0.37/0.52 (~ 'LE'(f(X_28), s(s(s(s(s(0)))))) | ~ iLEQ(X_28, X_28) |
% 0.37/0.52 'E'(s(s(s(s(0)))), f(X_28)) | 'LE'(f(X_28), s(s(s(s(0)))))),
% 0.37/0.52 inference(subst, [],
% 0.37/0.52 [clause_7_16 :
% 0.37/0.52 [bind(A_1, $fot(X_28)), bind(B_0, $fot(X_28))]])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_34, plain,
% 0.37/0.52 (~ 'LE'(f(X_28), s(s(s(s(s(0)))))) | 'E'(s(s(s(s(0)))), f(X_28)) |
% 0.37/0.52 'LE'(f(X_28), s(s(s(s(0)))))),
% 0.37/0.52 inference(resolve, [$cnf(iLEQ(X_28, X_28))],
% 0.37/0.52 [refute_0_32, refute_0_33])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_35, plain,
% 0.37/0.52 (~ 'LE'(f(X_31), s(s(s(s(s(0)))))) | 'E'(s(s(s(s(0)))), f(X_31)) |
% 0.37/0.52 'LE'(f(X_31), s(s(s(s(0)))))),
% 0.37/0.52 inference(subst, [], [refute_0_34 : [bind(X_28, $fot(X_31))]])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_36, plain,
% 0.37/0.52 ('E'(s(s(s(s(0)))), f(X_31)) | 'E'(s(s(s(s(s(0))))), f(X_31)) |
% 0.37/0.52 'LE'(f(X_31), s(s(s(s(0)))))),
% 0.37/0.52 inference(resolve, [$cnf('LE'(f(X_31), s(s(s(s(s(0)))))))],
% 0.37/0.52 [refute_0_31, refute_0_35])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_37, plain,
% 0.37/0.52 ('E'(s(s(s(s(0)))), f(g(A_2))) | 'E'(s(s(s(s(s(0))))), f(g(A_2))) |
% 0.37/0.52 'LE'(f(g(A_2)), s(s(s(s(0)))))),
% 0.37/0.52 inference(subst, [], [refute_0_36 : [bind(X_31, $fot(g(A_2)))]])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_38, plain,
% 0.37/0.52 (~ 'E'(s(s(s(s(s(0))))), f(A_2)) | 'E'(s(s(s(s(0)))), f(g(A_2))) |
% 0.37/0.52 'LE'(f(g(A_2)), s(s(s(s(0)))))),
% 0.37/0.52 inference(resolve, [$cnf('E'(s(s(s(s(s(0))))), f(g(A_2))))],
% 0.37/0.52 [refute_0_37, refute_0_30])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_39, plain,
% 0.37/0.52 (~ 'E'(s(s(s(s(s(0))))), f(X_38)) | 'E'(s(s(s(s(0)))), f(g(X_38))) |
% 0.37/0.52 'LE'(f(g(X_38)), s(s(s(s(0)))))),
% 0.37/0.52 inference(subst, [], [refute_0_38 : [bind(A_2, $fot(X_38))]])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_40, plain,
% 0.37/0.52 (~ 'LE'(f(g(X_30)), s(s(s(s(0))))) | 'E'(s(s(s(0))), f(g(X_30))) |
% 0.37/0.52 'LE'(f(g(X_30)), s(s(s(0))))),
% 0.37/0.52 inference(subst, [], [refute_0_27 : [bind(X_24, $fot(g(X_30)))]])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_41, plain,
% 0.37/0.52 ('E'(s(s(s(s(s(0))))), f(X_29)) | 'LE'(f(X_29), s(s(s(s(s(0))))))),
% 0.37/0.52 inference(subst, [], [clause_8_01 : [bind(A, $fot(X_29))]])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_42, plain, (iLEQ(X_27, g(X_27))),
% 0.37/0.52 inference(subst, [], [clause_13_02 : [bind(A_2, $fot(X_27))]])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_43, plain,
% 0.37/0.52 (~ 'LE'(f(X_27), s(s(s(s(s(0)))))) | ~ iLEQ(X_27, g(X_27)) |
% 0.37/0.52 'E'(s(s(s(s(0)))), f(g(X_27))) | 'LE'(f(g(X_27)), s(s(s(s(0)))))),
% 0.37/0.52 inference(subst, [],
% 0.37/0.52 [clause_7_16 :
% 0.37/0.52 [bind(A_1, $fot(X_27)), bind(B_0, $fot(g(X_27)))]])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_44, plain,
% 0.37/0.52 (~ 'LE'(f(X_27), s(s(s(s(s(0)))))) | 'E'(s(s(s(s(0)))), f(g(X_27))) |
% 0.37/0.52 'LE'(f(g(X_27)), s(s(s(s(0)))))),
% 0.37/0.52 inference(resolve, [$cnf(iLEQ(X_27, g(X_27)))],
% 0.37/0.52 [refute_0_42, refute_0_43])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_45, plain,
% 0.37/0.52 (~ 'LE'(f(X_29), s(s(s(s(s(0)))))) | 'E'(s(s(s(s(0)))), f(g(X_29))) |
% 0.37/0.52 'LE'(f(g(X_29)), s(s(s(s(0)))))),
% 0.37/0.52 inference(subst, [], [refute_0_44 : [bind(X_27, $fot(X_29))]])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_46, plain,
% 0.37/0.52 ('E'(s(s(s(s(0)))), f(g(X_29))) | 'E'(s(s(s(s(s(0))))), f(X_29)) |
% 0.37/0.52 'LE'(f(g(X_29)), s(s(s(s(0)))))),
% 0.37/0.52 inference(resolve, [$cnf('LE'(f(X_29), s(s(s(s(s(0)))))))],
% 0.37/0.52 [refute_0_41, refute_0_45])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_47, plain,
% 0.37/0.52 ('E'(s(s(s(s(0)))), f(g(X_30))) | 'E'(s(s(s(s(s(0))))), f(X_30)) |
% 0.37/0.52 'LE'(f(g(X_30)), s(s(s(s(0)))))),
% 0.37/0.52 inference(subst, [], [refute_0_46 : [bind(X_29, $fot(X_30))]])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_48, plain,
% 0.37/0.52 ('E'(s(s(s(0))), f(g(X_30))) | 'E'(s(s(s(s(0)))), f(g(X_30))) |
% 0.37/0.52 'E'(s(s(s(s(s(0))))), f(X_30)) | 'LE'(f(g(X_30)), s(s(s(0))))),
% 0.37/0.52 inference(resolve, [$cnf('LE'(f(g(X_30)), s(s(s(s(0))))))],
% 0.37/0.52 [refute_0_47, refute_0_40])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_49, plain,
% 0.37/0.52 ('E'(s(s(s(0))), f(g(X_38))) | 'E'(s(s(s(s(0)))), f(g(X_38))) |
% 0.37/0.52 'E'(s(s(s(s(s(0))))), f(X_38)) | 'LE'(f(g(X_38)), s(s(s(0))))),
% 0.37/0.52 inference(subst, [], [refute_0_48 : [bind(X_30, $fot(X_38))]])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_50, plain,
% 0.37/0.52 ('E'(s(s(s(0))), f(g(X_38))) | 'E'(s(s(s(s(0)))), f(g(X_38))) |
% 0.37/0.52 'LE'(f(g(X_38)), s(s(s(0)))) | 'LE'(f(g(X_38)), s(s(s(s(0)))))),
% 0.37/0.52 inference(resolve, [$cnf('E'(s(s(s(s(s(0))))), f(X_38)))],
% 0.37/0.52 [refute_0_49, refute_0_39])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_51, plain,
% 0.37/0.52 ('E'(s(s(s(0))), f(g(X_39))) | 'E'(s(s(s(s(0)))), f(g(X_39))) |
% 0.37/0.52 'LE'(f(g(X_39)), s(s(s(0)))) | 'LE'(f(g(X_39)), s(s(s(s(0)))))),
% 0.37/0.52 inference(subst, [], [refute_0_50 : [bind(X_38, $fot(X_39))]])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_52, plain,
% 0.37/0.52 ('E'(s(s(s(0))), f(g(X_39))) | 'E'(s(s(s(s(0)))), f(g(X_39))) |
% 0.37/0.52 'LE'(f(g(X_39)), s(s(s(0))))),
% 0.37/0.52 inference(resolve, [$cnf('LE'(f(g(X_39)), s(s(s(s(0))))))],
% 0.37/0.52 [refute_0_51, refute_0_28])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_53, plain,
% 0.37/0.52 ('E'(s(s(s(0))), f(g(X_40))) | 'E'(s(s(s(s(0)))), f(g(X_40))) |
% 0.37/0.52 'LE'(f(g(X_40)), s(s(s(0))))),
% 0.37/0.52 inference(subst, [], [refute_0_52 : [bind(X_39, $fot(X_40))]])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_54, plain,
% 0.37/0.52 (~ 'E'(s(s(s(s(0)))), f(X_40)) | 'E'(s(s(s(0))), f(g(X_40))) |
% 0.37/0.52 'LE'(f(g(X_40)), s(s(s(0))))),
% 0.37/0.52 inference(resolve, [$cnf('E'(s(s(s(s(0)))), f(g(X_40))))],
% 0.37/0.52 [refute_0_53, refute_0_24])).
% 0.37/0.52
% 0.37/0.52 cnf(refute_0_55, plain,
% 0.37/0.52 (~ 'E'(s(s(s(s(0)))), f(g(X_55))) | 'E'(s(s(s(0))), f(g(g(X_55)))) |
% 0.37/0.52 'LE'(f(g(g(X_55))), s(s(s(0))))),
% 0.37/0.52 inference(subst, [], [refute_0_54 : [bind(X_40, $fot(g(X_55)))]])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_56, plain,
% 0.37/0.53 (~ 'LE'(f(g(g(X_54))), s(s(s(0)))) | 'E'(s(s(0)), f(g(g(X_54)))) |
% 0.37/0.53 'LE'(f(g(g(X_54))), s(s(0)))),
% 0.37/0.53 inference(subst, [], [refute_0_20 : [bind(X_20, $fot(g(g(X_54))))]])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_57, plain, (iLEQ(X_23, g(X_23))),
% 0.37/0.53 inference(subst, [], [clause_13_02 : [bind(A_2, $fot(X_23))]])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_58, plain,
% 0.37/0.53 (~ 'LE'(f(X_23), s(s(s(s(0))))) | ~ iLEQ(X_23, g(X_23)) |
% 0.37/0.53 'E'(s(s(s(0))), f(g(X_23))) | 'LE'(f(g(X_23)), s(s(s(0))))),
% 0.37/0.53 inference(subst, [],
% 0.37/0.53 [clause_26_17 :
% 0.37/0.53 [bind(A_4, $fot(X_23)), bind(B_2, $fot(g(X_23)))]])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_59, plain,
% 0.37/0.53 (~ 'LE'(f(X_23), s(s(s(s(0))))) | 'E'(s(s(s(0))), f(g(X_23))) |
% 0.37/0.53 'LE'(f(g(X_23)), s(s(s(0))))),
% 0.37/0.53 inference(resolve, [$cnf(iLEQ(X_23, g(X_23)))],
% 0.37/0.53 [refute_0_57, refute_0_58])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_60, plain,
% 0.37/0.53 (~ 'LE'(f(g(X_48)), s(s(s(s(0))))) | 'E'(s(s(s(0))), f(g(g(X_48)))) |
% 0.37/0.53 'LE'(f(g(g(X_48))), s(s(s(0))))),
% 0.37/0.53 inference(subst, [], [refute_0_59 : [bind(X_23, $fot(g(X_48)))]])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_61, plain,
% 0.37/0.53 (~ 'E'(s(s(s(s(s(0))))), f(X_47)) | 'E'(s(s(s(s(0)))), f(g(X_47))) |
% 0.37/0.53 'LE'(f(g(X_47)), s(s(s(s(0)))))),
% 0.37/0.53 inference(subst, [], [refute_0_38 : [bind(A_2, $fot(X_47))]])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_62, plain,
% 0.37/0.53 (~ 'LE'(f(g(g(X_37))), s(s(s(0)))) | 'E'(s(s(0)), f(g(g(X_37)))) |
% 0.37/0.53 'LE'(f(g(g(X_37))), s(s(0)))),
% 0.37/0.53 inference(subst, [], [refute_0_20 : [bind(X_20, $fot(g(g(X_37))))]])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_63, plain,
% 0.37/0.53 (~ 'LE'(f(g(X_30)), s(s(s(s(0))))) | 'E'(s(s(s(0))), f(g(g(X_30)))) |
% 0.37/0.53 'LE'(f(g(g(X_30))), s(s(s(0))))),
% 0.37/0.53 inference(subst, [], [refute_0_59 : [bind(X_23, $fot(g(X_30)))]])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_64, plain,
% 0.37/0.53 ('E'(s(s(s(0))), f(g(g(X_30)))) | 'E'(s(s(s(s(0)))), f(g(X_30))) |
% 0.37/0.53 'E'(s(s(s(s(s(0))))), f(X_30)) | 'LE'(f(g(g(X_30))), s(s(s(0))))),
% 0.37/0.53 inference(resolve, [$cnf('LE'(f(g(X_30)), s(s(s(s(0))))))],
% 0.37/0.53 [refute_0_47, refute_0_63])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_65, plain,
% 0.37/0.53 ('E'(s(s(s(0))), f(g(g(X_37)))) | 'E'(s(s(s(s(0)))), f(g(X_37))) |
% 0.37/0.53 'E'(s(s(s(s(s(0))))), f(X_37)) | 'LE'(f(g(g(X_37))), s(s(s(0))))),
% 0.37/0.53 inference(subst, [], [refute_0_64 : [bind(X_30, $fot(X_37))]])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_66, plain,
% 0.37/0.53 ('E'(s(s(0)), f(g(g(X_37)))) | 'E'(s(s(s(0))), f(g(g(X_37)))) |
% 0.37/0.53 'E'(s(s(s(s(0)))), f(g(X_37))) | 'E'(s(s(s(s(s(0))))), f(X_37)) |
% 0.37/0.53 'LE'(f(g(g(X_37))), s(s(0)))),
% 0.37/0.53 inference(resolve, [$cnf('LE'(f(g(g(X_37))), s(s(s(0)))))],
% 0.37/0.53 [refute_0_65, refute_0_62])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_67, plain,
% 0.37/0.53 ('E'(s(s(0)), f(g(g(X_47)))) | 'E'(s(s(s(0))), f(g(g(X_47)))) |
% 0.37/0.53 'E'(s(s(s(s(0)))), f(g(X_47))) | 'E'(s(s(s(s(s(0))))), f(X_47)) |
% 0.37/0.53 'LE'(f(g(g(X_47))), s(s(0)))),
% 0.37/0.53 inference(subst, [], [refute_0_66 : [bind(X_37, $fot(X_47))]])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_68, plain,
% 0.37/0.53 ('E'(s(s(0)), f(g(g(X_47)))) | 'E'(s(s(s(0))), f(g(g(X_47)))) |
% 0.37/0.53 'E'(s(s(s(s(0)))), f(g(X_47))) | 'LE'(f(g(X_47)), s(s(s(s(0))))) |
% 0.37/0.53 'LE'(f(g(g(X_47))), s(s(0)))),
% 0.37/0.53 inference(resolve, [$cnf('E'(s(s(s(s(s(0))))), f(X_47)))],
% 0.37/0.53 [refute_0_67, refute_0_61])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_69, plain,
% 0.37/0.53 ('E'(s(s(0)), f(g(g(X_48)))) | 'E'(s(s(s(0))), f(g(g(X_48)))) |
% 0.37/0.53 'E'(s(s(s(s(0)))), f(g(X_48))) | 'LE'(f(g(X_48)), s(s(s(s(0))))) |
% 0.37/0.53 'LE'(f(g(g(X_48))), s(s(0)))),
% 0.37/0.53 inference(subst, [], [refute_0_68 : [bind(X_47, $fot(X_48))]])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_70, plain,
% 0.37/0.53 ('E'(s(s(0)), f(g(g(X_48)))) | 'E'(s(s(s(0))), f(g(g(X_48)))) |
% 0.37/0.53 'E'(s(s(s(s(0)))), f(g(X_48))) | 'LE'(f(g(g(X_48))), s(s(0))) |
% 0.37/0.53 'LE'(f(g(g(X_48))), s(s(s(0))))),
% 0.37/0.53 inference(resolve, [$cnf('LE'(f(g(X_48)), s(s(s(s(0))))))],
% 0.37/0.53 [refute_0_69, refute_0_60])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_71, plain,
% 0.37/0.53 ('E'(s(s(0)), f(g(g(X_54)))) | 'E'(s(s(s(0))), f(g(g(X_54)))) |
% 0.37/0.53 'E'(s(s(s(s(0)))), f(g(X_54))) | 'LE'(f(g(g(X_54))), s(s(0))) |
% 0.37/0.53 'LE'(f(g(g(X_54))), s(s(s(0))))),
% 0.37/0.53 inference(subst, [], [refute_0_70 : [bind(X_48, $fot(X_54))]])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_72, plain,
% 0.37/0.53 ('E'(s(s(0)), f(g(g(X_54)))) | 'E'(s(s(s(0))), f(g(g(X_54)))) |
% 0.37/0.53 'E'(s(s(s(s(0)))), f(g(X_54))) | 'LE'(f(g(g(X_54))), s(s(0)))),
% 0.37/0.53 inference(resolve, [$cnf('LE'(f(g(g(X_54))), s(s(s(0)))))],
% 0.37/0.53 [refute_0_71, refute_0_56])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_73, plain,
% 0.37/0.53 ('E'(s(s(0)), f(g(g(X_55)))) | 'E'(s(s(s(0))), f(g(g(X_55)))) |
% 0.37/0.53 'E'(s(s(s(s(0)))), f(g(X_55))) | 'LE'(f(g(g(X_55))), s(s(0)))),
% 0.37/0.53 inference(subst, [], [refute_0_72 : [bind(X_54, $fot(X_55))]])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_74, plain,
% 0.37/0.53 ('E'(s(s(0)), f(g(g(X_55)))) | 'E'(s(s(s(0))), f(g(g(X_55)))) |
% 0.37/0.53 'LE'(f(g(g(X_55))), s(s(0))) | 'LE'(f(g(g(X_55))), s(s(s(0))))),
% 0.37/0.53 inference(resolve, [$cnf('E'(s(s(s(s(0)))), f(g(X_55))))],
% 0.37/0.53 [refute_0_73, refute_0_55])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_75, plain,
% 0.37/0.53 ('E'(s(s(0)), f(g(g(X_57)))) | 'E'(s(s(s(0))), f(g(g(X_57)))) |
% 0.37/0.53 'LE'(f(g(g(X_57))), s(s(0))) | 'LE'(f(g(g(X_57))), s(s(s(0))))),
% 0.37/0.53 inference(subst, [], [refute_0_74 : [bind(X_55, $fot(X_57))]])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_76, plain,
% 0.37/0.53 ('E'(s(s(0)), f(g(g(X_57)))) | 'E'(s(s(s(0))), f(g(g(X_57)))) |
% 0.37/0.53 'LE'(f(g(g(X_57))), s(s(0)))),
% 0.37/0.53 inference(resolve, [$cnf('LE'(f(g(g(X_57))), s(s(s(0)))))],
% 0.37/0.53 [refute_0_75, refute_0_21])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_77, plain,
% 0.37/0.53 ('E'(s(s(0)), f(g(g(X_58)))) | 'E'(s(s(s(0))), f(g(g(X_58)))) |
% 0.37/0.53 'LE'(f(g(g(X_58))), s(s(0)))),
% 0.37/0.53 inference(subst, [], [refute_0_76 : [bind(X_57, $fot(X_58))]])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_78, plain,
% 0.37/0.53 (~ 'E'(s(s(s(0))), f(g(X_58))) | 'E'(s(s(0)), f(g(g(X_58)))) |
% 0.37/0.53 'LE'(f(g(g(X_58))), s(s(0)))),
% 0.37/0.53 inference(resolve, [$cnf('E'(s(s(s(0))), f(g(g(X_58)))))],
% 0.37/0.53 [refute_0_77, refute_0_17])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_79, plain,
% 0.37/0.53 (~ 'E'(s(s(s(0))), f(g(g(X_94)))) | 'E'(s(s(0)), f(g(g(g(X_94))))) |
% 0.37/0.53 'LE'(f(g(g(g(X_94)))), s(s(0)))),
% 0.37/0.53 inference(subst, [], [refute_0_78 : [bind(X_58, $fot(g(X_94)))]])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_80, plain,
% 0.37/0.53 (~ 'LE'(f(g(g(g(X_93)))), s(s(0))) | 'E'(s(0), f(g(g(g(X_93))))) |
% 0.37/0.53 'LE'(f(g(g(g(X_93)))), s(0))),
% 0.37/0.53 inference(subst, [],
% 0.37/0.53 [refute_0_14 : [bind(X_16, $fot(g(g(g(X_93)))))]])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_81, plain, (iLEQ(X_19, g(X_19))),
% 0.37/0.53 inference(subst, [], [clause_13_02 : [bind(A_2, $fot(X_19))]])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_82, plain,
% 0.37/0.53 (~ 'LE'(f(X_19), s(s(s(0)))) | ~ iLEQ(X_19, g(X_19)) |
% 0.37/0.53 'E'(s(s(0)), f(g(X_19))) | 'LE'(f(g(X_19)), s(s(0)))),
% 0.37/0.53 inference(subst, [],
% 0.37/0.53 [clause_16_15 :
% 0.37/0.53 [bind(A_7, $fot(X_19)), bind(B_4, $fot(g(X_19)))]])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_83, plain,
% 0.37/0.53 (~ 'LE'(f(X_19), s(s(s(0)))) | 'E'(s(s(0)), f(g(X_19))) |
% 0.37/0.53 'LE'(f(g(X_19)), s(s(0)))),
% 0.37/0.53 inference(resolve, [$cnf(iLEQ(X_19, g(X_19)))],
% 0.37/0.53 [refute_0_81, refute_0_82])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_84, plain,
% 0.37/0.53 (~ 'LE'(f(g(g(X_92))), s(s(s(0)))) | 'E'(s(s(0)), f(g(g(g(X_92))))) |
% 0.37/0.53 'LE'(f(g(g(g(X_92)))), s(s(0)))),
% 0.37/0.53 inference(subst, [], [refute_0_83 : [bind(X_19, $fot(g(g(X_92))))]])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_85, plain,
% 0.37/0.53 (~ 'E'(s(s(s(s(0)))), f(g(X_90))) | 'E'(s(s(s(0))), f(g(g(X_90)))) |
% 0.37/0.53 'LE'(f(g(g(X_90))), s(s(s(0))))),
% 0.37/0.53 inference(subst, [], [refute_0_54 : [bind(X_40, $fot(g(X_90)))]])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_86, plain,
% 0.37/0.53 (~ 'LE'(f(g(g(g(X_89)))), s(s(0))) | 'E'(s(0), f(g(g(g(X_89))))) |
% 0.37/0.53 'LE'(f(g(g(g(X_89)))), s(0))),
% 0.37/0.53 inference(subst, [],
% 0.37/0.53 [refute_0_14 : [bind(X_16, $fot(g(g(g(X_89)))))]])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_87, plain,
% 0.37/0.53 (~ 'LE'(f(g(g(X_81))), s(s(s(0)))) | 'E'(s(s(0)), f(g(g(g(X_81))))) |
% 0.37/0.53 'LE'(f(g(g(g(X_81)))), s(s(0)))),
% 0.37/0.53 inference(subst, [], [refute_0_83 : [bind(X_19, $fot(g(g(X_81))))]])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_88, plain,
% 0.37/0.53 (~ 'LE'(f(g(X_75)), s(s(s(s(0))))) | 'E'(s(s(s(0))), f(g(g(X_75)))) |
% 0.37/0.53 'LE'(f(g(g(X_75))), s(s(s(0))))),
% 0.37/0.53 inference(subst, [], [refute_0_59 : [bind(X_23, $fot(g(X_75)))]])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_89, plain,
% 0.37/0.53 (~ 'E'(s(s(s(s(s(0))))), f(X_66)) | 'E'(s(s(s(s(0)))), f(g(X_66))) |
% 0.37/0.53 'LE'(f(g(X_66)), s(s(s(s(0)))))),
% 0.37/0.53 inference(subst, [], [refute_0_38 : [bind(A_2, $fot(X_66))]])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_90, plain,
% 0.37/0.53 (~ 'LE'(f(g(g(g(X_46)))), s(s(0))) | 'E'(s(0), f(g(g(g(X_46))))) |
% 0.37/0.53 'LE'(f(g(g(g(X_46)))), s(0))),
% 0.37/0.53 inference(subst, [],
% 0.37/0.53 [refute_0_14 : [bind(X_16, $fot(g(g(g(X_46)))))]])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_91, plain,
% 0.37/0.53 (~ 'LE'(f(g(g(X_37))), s(s(s(0)))) | 'E'(s(s(0)), f(g(g(g(X_37))))) |
% 0.37/0.53 'LE'(f(g(g(g(X_37)))), s(s(0)))),
% 0.37/0.53 inference(subst, [], [refute_0_83 : [bind(X_19, $fot(g(g(X_37))))]])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_92, plain,
% 0.37/0.53 ('E'(s(s(0)), f(g(g(g(X_37))))) | 'E'(s(s(s(0))), f(g(g(X_37)))) |
% 0.37/0.53 'E'(s(s(s(s(0)))), f(g(X_37))) | 'E'(s(s(s(s(s(0))))), f(X_37)) |
% 0.37/0.53 'LE'(f(g(g(g(X_37)))), s(s(0)))),
% 0.37/0.53 inference(resolve, [$cnf('LE'(f(g(g(X_37))), s(s(s(0)))))],
% 0.37/0.53 [refute_0_65, refute_0_91])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_93, plain,
% 0.37/0.53 ('E'(s(s(0)), f(g(g(g(X_46))))) | 'E'(s(s(s(0))), f(g(g(X_46)))) |
% 0.37/0.53 'E'(s(s(s(s(0)))), f(g(X_46))) | 'E'(s(s(s(s(s(0))))), f(X_46)) |
% 0.37/0.53 'LE'(f(g(g(g(X_46)))), s(s(0)))),
% 0.37/0.53 inference(subst, [], [refute_0_92 : [bind(X_37, $fot(X_46))]])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_94, plain,
% 0.37/0.53 ('E'(s(0), f(g(g(g(X_46))))) | 'E'(s(s(0)), f(g(g(g(X_46))))) |
% 0.37/0.53 'E'(s(s(s(0))), f(g(g(X_46)))) | 'E'(s(s(s(s(0)))), f(g(X_46))) |
% 0.37/0.53 'E'(s(s(s(s(s(0))))), f(X_46)) | 'LE'(f(g(g(g(X_46)))), s(0))),
% 0.37/0.53 inference(resolve, [$cnf('LE'(f(g(g(g(X_46)))), s(s(0))))],
% 0.37/0.53 [refute_0_93, refute_0_90])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_95, plain,
% 0.37/0.53 ('E'(s(0), f(g(g(g(X_66))))) | 'E'(s(s(0)), f(g(g(g(X_66))))) |
% 0.37/0.53 'E'(s(s(s(0))), f(g(g(X_66)))) | 'E'(s(s(s(s(0)))), f(g(X_66))) |
% 0.37/0.53 'E'(s(s(s(s(s(0))))), f(X_66)) | 'LE'(f(g(g(g(X_66)))), s(0))),
% 0.37/0.53 inference(subst, [], [refute_0_94 : [bind(X_46, $fot(X_66))]])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_96, plain,
% 0.37/0.53 ('E'(s(0), f(g(g(g(X_66))))) | 'E'(s(s(0)), f(g(g(g(X_66))))) |
% 0.37/0.53 'E'(s(s(s(0))), f(g(g(X_66)))) | 'E'(s(s(s(s(0)))), f(g(X_66))) |
% 0.37/0.53 'LE'(f(g(X_66)), s(s(s(s(0))))) | 'LE'(f(g(g(g(X_66)))), s(0))),
% 0.37/0.53 inference(resolve, [$cnf('E'(s(s(s(s(s(0))))), f(X_66)))],
% 0.37/0.53 [refute_0_95, refute_0_89])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_97, plain,
% 0.37/0.53 ('E'(s(0), f(g(g(g(X_75))))) | 'E'(s(s(0)), f(g(g(g(X_75))))) |
% 0.37/0.53 'E'(s(s(s(0))), f(g(g(X_75)))) | 'E'(s(s(s(s(0)))), f(g(X_75))) |
% 0.37/0.53 'LE'(f(g(X_75)), s(s(s(s(0))))) | 'LE'(f(g(g(g(X_75)))), s(0))),
% 0.37/0.53 inference(subst, [], [refute_0_96 : [bind(X_66, $fot(X_75))]])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_98, plain,
% 0.37/0.53 ('E'(s(0), f(g(g(g(X_75))))) | 'E'(s(s(0)), f(g(g(g(X_75))))) |
% 0.37/0.53 'E'(s(s(s(0))), f(g(g(X_75)))) | 'E'(s(s(s(s(0)))), f(g(X_75))) |
% 0.37/0.53 'LE'(f(g(g(X_75))), s(s(s(0)))) | 'LE'(f(g(g(g(X_75)))), s(0))),
% 0.37/0.53 inference(resolve, [$cnf('LE'(f(g(X_75)), s(s(s(s(0))))))],
% 0.37/0.53 [refute_0_97, refute_0_88])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_99, plain,
% 0.37/0.53 ('E'(s(0), f(g(g(g(X_81))))) | 'E'(s(s(0)), f(g(g(g(X_81))))) |
% 0.37/0.53 'E'(s(s(s(0))), f(g(g(X_81)))) | 'E'(s(s(s(s(0)))), f(g(X_81))) |
% 0.37/0.53 'LE'(f(g(g(X_81))), s(s(s(0)))) | 'LE'(f(g(g(g(X_81)))), s(0))),
% 0.37/0.53 inference(subst, [], [refute_0_98 : [bind(X_75, $fot(X_81))]])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_100, plain,
% 0.37/0.53 ('E'(s(0), f(g(g(g(X_81))))) | 'E'(s(s(0)), f(g(g(g(X_81))))) |
% 0.37/0.53 'E'(s(s(s(0))), f(g(g(X_81)))) | 'E'(s(s(s(s(0)))), f(g(X_81))) |
% 0.37/0.53 'LE'(f(g(g(g(X_81)))), s(0)) | 'LE'(f(g(g(g(X_81)))), s(s(0)))),
% 0.37/0.53 inference(resolve, [$cnf('LE'(f(g(g(X_81))), s(s(s(0)))))],
% 0.37/0.53 [refute_0_99, refute_0_87])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_101, plain,
% 0.37/0.53 ('E'(s(0), f(g(g(g(X_89))))) | 'E'(s(s(0)), f(g(g(g(X_89))))) |
% 0.37/0.53 'E'(s(s(s(0))), f(g(g(X_89)))) | 'E'(s(s(s(s(0)))), f(g(X_89))) |
% 0.37/0.53 'LE'(f(g(g(g(X_89)))), s(0)) | 'LE'(f(g(g(g(X_89)))), s(s(0)))),
% 0.37/0.53 inference(subst, [], [refute_0_100 : [bind(X_81, $fot(X_89))]])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_102, plain,
% 0.37/0.53 ('E'(s(0), f(g(g(g(X_89))))) | 'E'(s(s(0)), f(g(g(g(X_89))))) |
% 0.37/0.53 'E'(s(s(s(0))), f(g(g(X_89)))) | 'E'(s(s(s(s(0)))), f(g(X_89))) |
% 0.37/0.53 'LE'(f(g(g(g(X_89)))), s(0))),
% 0.37/0.53 inference(resolve, [$cnf('LE'(f(g(g(g(X_89)))), s(s(0))))],
% 0.37/0.53 [refute_0_101, refute_0_86])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_103, plain,
% 0.37/0.53 ('E'(s(0), f(g(g(g(X_90))))) | 'E'(s(s(0)), f(g(g(g(X_90))))) |
% 0.37/0.53 'E'(s(s(s(0))), f(g(g(X_90)))) | 'E'(s(s(s(s(0)))), f(g(X_90))) |
% 0.37/0.53 'LE'(f(g(g(g(X_90)))), s(0))),
% 0.37/0.53 inference(subst, [], [refute_0_102 : [bind(X_89, $fot(X_90))]])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_104, plain,
% 0.37/0.53 ('E'(s(0), f(g(g(g(X_90))))) | 'E'(s(s(0)), f(g(g(g(X_90))))) |
% 0.37/0.53 'E'(s(s(s(0))), f(g(g(X_90)))) | 'LE'(f(g(g(X_90))), s(s(s(0)))) |
% 0.37/0.53 'LE'(f(g(g(g(X_90)))), s(0))),
% 0.37/0.53 inference(resolve, [$cnf('E'(s(s(s(s(0)))), f(g(X_90))))],
% 0.37/0.53 [refute_0_103, refute_0_85])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_105, plain,
% 0.37/0.53 ('E'(s(0), f(g(g(g(X_92))))) | 'E'(s(s(0)), f(g(g(g(X_92))))) |
% 0.37/0.53 'E'(s(s(s(0))), f(g(g(X_92)))) | 'LE'(f(g(g(X_92))), s(s(s(0)))) |
% 0.37/0.53 'LE'(f(g(g(g(X_92)))), s(0))),
% 0.37/0.53 inference(subst, [], [refute_0_104 : [bind(X_90, $fot(X_92))]])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_106, plain,
% 0.37/0.53 ('E'(s(0), f(g(g(g(X_92))))) | 'E'(s(s(0)), f(g(g(g(X_92))))) |
% 0.37/0.53 'E'(s(s(s(0))), f(g(g(X_92)))) | 'LE'(f(g(g(g(X_92)))), s(0)) |
% 0.37/0.53 'LE'(f(g(g(g(X_92)))), s(s(0)))),
% 0.37/0.53 inference(resolve, [$cnf('LE'(f(g(g(X_92))), s(s(s(0)))))],
% 0.37/0.53 [refute_0_105, refute_0_84])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_107, plain,
% 0.37/0.53 ('E'(s(0), f(g(g(g(X_93))))) | 'E'(s(s(0)), f(g(g(g(X_93))))) |
% 0.37/0.53 'E'(s(s(s(0))), f(g(g(X_93)))) | 'LE'(f(g(g(g(X_93)))), s(0)) |
% 0.37/0.53 'LE'(f(g(g(g(X_93)))), s(s(0)))),
% 0.37/0.53 inference(subst, [], [refute_0_106 : [bind(X_92, $fot(X_93))]])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_108, plain,
% 0.37/0.53 ('E'(s(0), f(g(g(g(X_93))))) | 'E'(s(s(0)), f(g(g(g(X_93))))) |
% 0.37/0.53 'E'(s(s(s(0))), f(g(g(X_93)))) | 'LE'(f(g(g(g(X_93)))), s(0))),
% 0.37/0.53 inference(resolve, [$cnf('LE'(f(g(g(g(X_93)))), s(s(0))))],
% 0.37/0.53 [refute_0_107, refute_0_80])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_109, plain,
% 0.37/0.53 ('E'(s(0), f(g(g(g(X_94))))) | 'E'(s(s(0)), f(g(g(g(X_94))))) |
% 0.37/0.53 'E'(s(s(s(0))), f(g(g(X_94)))) | 'LE'(f(g(g(g(X_94)))), s(0))),
% 0.37/0.53 inference(subst, [], [refute_0_108 : [bind(X_93, $fot(X_94))]])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_110, plain,
% 0.37/0.53 ('E'(s(0), f(g(g(g(X_94))))) | 'E'(s(s(0)), f(g(g(g(X_94))))) |
% 0.37/0.53 'LE'(f(g(g(g(X_94)))), s(0)) | 'LE'(f(g(g(g(X_94)))), s(s(0)))),
% 0.37/0.53 inference(resolve, [$cnf('E'(s(s(s(0))), f(g(g(X_94)))))],
% 0.37/0.53 [refute_0_109, refute_0_79])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_111, plain,
% 0.37/0.53 ('E'(s(0), f(g(g(g(X_95))))) | 'E'(s(s(0)), f(g(g(g(X_95))))) |
% 0.37/0.53 'LE'(f(g(g(g(X_95)))), s(0)) | 'LE'(f(g(g(g(X_95)))), s(s(0)))),
% 0.37/0.53 inference(subst, [], [refute_0_110 : [bind(X_94, $fot(X_95))]])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_112, plain,
% 0.37/0.53 ('E'(s(0), f(g(g(g(X_95))))) | 'E'(s(s(0)), f(g(g(g(X_95))))) |
% 0.37/0.53 'LE'(f(g(g(g(X_95)))), s(0))),
% 0.37/0.53 inference(resolve, [$cnf('LE'(f(g(g(g(X_95)))), s(s(0))))],
% 0.37/0.53 [refute_0_111, refute_0_15])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_113, plain,
% 0.37/0.53 ('E'(s(0), f(g(g(g(X_96))))) | 'E'(s(s(0)), f(g(g(g(X_96))))) |
% 0.37/0.53 'LE'(f(g(g(g(X_96)))), s(0))),
% 0.37/0.53 inference(subst, [], [refute_0_112 : [bind(X_95, $fot(X_96))]])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_114, plain,
% 0.37/0.53 (~ 'E'(s(s(0)), f(g(g(X_96)))) | 'E'(s(0), f(g(g(g(X_96))))) |
% 0.37/0.53 'LE'(f(g(g(g(X_96)))), s(0))),
% 0.37/0.53 inference(resolve, [$cnf('E'(s(s(0)), f(g(g(g(X_96))))))],
% 0.37/0.53 [refute_0_113, refute_0_11])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_115, plain,
% 0.37/0.53 (~ 'E'(s(s(0)), f(g(g(g(X_145))))) | 'E'(s(0), f(g(g(g(g(X_145)))))) |
% 0.37/0.53 'LE'(f(g(g(g(g(X_145))))), s(0))),
% 0.37/0.53 inference(subst, [], [refute_0_114 : [bind(X_96, $fot(g(X_145)))]])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_116, plain,
% 0.37/0.53 (~ 'LE'(f(g(g(g(g(X_144))))), s(0)) | 'E'(0, f(g(g(g(g(X_144))))))),
% 0.37/0.53 inference(subst, [],
% 0.37/0.53 [refute_0_7 : [bind(X_12, $fot(g(g(g(g(X_144))))))]])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_117, plain, (iLEQ(X_15, g(X_15))),
% 0.37/0.53 inference(subst, [], [clause_13_02 : [bind(A_2, $fot(X_15))]])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_118, plain,
% 0.37/0.53 (~ 'LE'(f(X_15), s(s(0))) | ~ iLEQ(X_15, g(X_15)) |
% 0.37/0.53 'E'(s(0), f(g(X_15))) | 'LE'(f(g(X_15)), s(0))),
% 0.37/0.53 inference(subst, [],
% 0.37/0.53 [clause_17_32 :
% 0.37/0.53 [bind(A_10, $fot(X_15)), bind(B_6, $fot(g(X_15)))]])).
% 0.37/0.53
% 0.37/0.53 cnf(refute_0_119, plain,
% 0.37/0.54 (~ 'LE'(f(X_15), s(s(0))) | 'E'(s(0), f(g(X_15))) |
% 0.37/0.54 'LE'(f(g(X_15)), s(0))),
% 0.37/0.54 inference(resolve, [$cnf(iLEQ(X_15, g(X_15)))],
% 0.37/0.54 [refute_0_117, refute_0_118])).
% 0.37/0.54
% 0.37/0.54 cnf(refute_0_120, plain,
% 0.37/0.54 (~ 'LE'(f(g(g(g(X_143)))), s(s(0))) | 'E'(s(0), f(g(g(g(g(X_143)))))) |
% 0.37/0.54 'LE'(f(g(g(g(g(X_143))))), s(0))),
% 0.37/0.54 inference(subst, [],
% 0.37/0.54 [refute_0_119 : [bind(X_15, $fot(g(g(g(X_143)))))]])).
% 0.37/0.54
% 0.37/0.54 cnf(refute_0_121, plain,
% 0.37/0.54 (~ 'E'(s(s(s(0))), f(g(g(X_141)))) | 'E'(s(s(0)), f(g(g(g(X_141))))) |
% 0.37/0.54 'LE'(f(g(g(g(X_141)))), s(s(0)))),
% 0.37/0.54 inference(subst, [], [refute_0_78 : [bind(X_58, $fot(g(X_141)))]])).
% 0.37/0.54
% 0.37/0.54 cnf(refute_0_122, plain,
% 0.37/0.54 (~ 'LE'(f(g(g(g(g(X_140))))), s(0)) | 'E'(0, f(g(g(g(g(X_140))))))),
% 0.37/0.54 inference(subst, [],
% 0.37/0.54 [refute_0_7 : [bind(X_12, $fot(g(g(g(g(X_140))))))]])).
% 0.37/0.54
% 0.37/0.54 cnf(refute_0_123, plain,
% 0.37/0.54 (~ 'LE'(f(g(g(g(X_139)))), s(s(0))) | 'E'(s(0), f(g(g(g(g(X_139)))))) |
% 0.37/0.54 'LE'(f(g(g(g(g(X_139))))), s(0))),
% 0.37/0.54 inference(subst, [],
% 0.37/0.54 [refute_0_119 : [bind(X_15, $fot(g(g(g(X_139)))))]])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_124, plain,
% 0.39/0.54 (~ 'LE'(f(g(g(X_138))), s(s(s(0)))) | 'E'(s(s(0)), f(g(g(g(X_138))))) |
% 0.39/0.54 'LE'(f(g(g(g(X_138)))), s(s(0)))),
% 0.39/0.54 inference(subst, [], [refute_0_83 : [bind(X_19, $fot(g(g(X_138))))]])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_125, plain,
% 0.39/0.54 (~ 'E'(s(s(s(s(0)))), f(g(X_136))) | 'E'(s(s(s(0))), f(g(g(X_136)))) |
% 0.39/0.54 'LE'(f(g(g(X_136))), s(s(s(0))))),
% 0.39/0.54 inference(subst, [], [refute_0_54 : [bind(X_40, $fot(g(X_136)))]])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_126, plain,
% 0.39/0.54 (~ 'LE'(f(g(g(g(g(X_135))))), s(0)) | 'E'(0, f(g(g(g(g(X_135))))))),
% 0.39/0.54 inference(subst, [],
% 0.39/0.54 [refute_0_7 : [bind(X_12, $fot(g(g(g(g(X_135))))))]])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_127, plain,
% 0.39/0.54 (~ 'LE'(f(g(g(g(X_129)))), s(s(0))) | 'E'(s(0), f(g(g(g(g(X_129)))))) |
% 0.39/0.54 'LE'(f(g(g(g(g(X_129))))), s(0))),
% 0.39/0.54 inference(subst, [],
% 0.39/0.54 [refute_0_119 : [bind(X_15, $fot(g(g(g(X_129)))))]])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_128, plain,
% 0.39/0.54 (~ 'LE'(f(g(g(X_123))), s(s(s(0)))) | 'E'(s(s(0)), f(g(g(g(X_123))))) |
% 0.39/0.54 'LE'(f(g(g(g(X_123)))), s(s(0)))),
% 0.39/0.54 inference(subst, [], [refute_0_83 : [bind(X_19, $fot(g(g(X_123))))]])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_129, plain,
% 0.39/0.54 (~ 'LE'(f(g(X_88)), s(s(s(s(0))))) | 'E'(s(s(s(0))), f(g(g(X_88)))) |
% 0.39/0.54 'LE'(f(g(g(X_88))), s(s(s(0))))),
% 0.39/0.54 inference(subst, [], [refute_0_59 : [bind(X_23, $fot(g(X_88)))]])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_130, plain,
% 0.39/0.54 (~ 'E'(s(s(s(s(s(0))))), f(X_80)) | 'E'(s(s(s(s(0)))), f(g(X_80))) |
% 0.39/0.54 'LE'(f(g(X_80)), s(s(s(s(0)))))),
% 0.39/0.54 inference(subst, [], [refute_0_38 : [bind(A_2, $fot(X_80))]])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_131, plain,
% 0.39/0.54 (~ 'LE'(f(g(g(g(g(X_67))))), s(0)) | 'E'(0, f(g(g(g(g(X_67))))))),
% 0.39/0.54 inference(subst, [],
% 0.39/0.54 [refute_0_7 : [bind(X_12, $fot(g(g(g(g(X_67))))))]])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_132, plain,
% 0.39/0.54 (~ 'LE'(f(g(g(g(X_46)))), s(s(0))) | 'E'(s(0), f(g(g(g(g(X_46)))))) |
% 0.39/0.54 'LE'(f(g(g(g(g(X_46))))), s(0))),
% 0.39/0.54 inference(subst, [],
% 0.39/0.54 [refute_0_119 : [bind(X_15, $fot(g(g(g(X_46)))))]])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_133, plain,
% 0.39/0.54 ('E'(s(0), f(g(g(g(g(X_46)))))) | 'E'(s(s(0)), f(g(g(g(X_46))))) |
% 0.39/0.54 'E'(s(s(s(0))), f(g(g(X_46)))) | 'E'(s(s(s(s(0)))), f(g(X_46))) |
% 0.39/0.54 'E'(s(s(s(s(s(0))))), f(X_46)) | 'LE'(f(g(g(g(g(X_46))))), s(0))),
% 0.39/0.54 inference(resolve, [$cnf('LE'(f(g(g(g(X_46)))), s(s(0))))],
% 0.39/0.54 [refute_0_93, refute_0_132])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_134, plain,
% 0.39/0.54 ('E'(s(0), f(g(g(g(g(X_67)))))) | 'E'(s(s(0)), f(g(g(g(X_67))))) |
% 0.39/0.54 'E'(s(s(s(0))), f(g(g(X_67)))) | 'E'(s(s(s(s(0)))), f(g(X_67))) |
% 0.39/0.54 'E'(s(s(s(s(s(0))))), f(X_67)) | 'LE'(f(g(g(g(g(X_67))))), s(0))),
% 0.39/0.54 inference(subst, [], [refute_0_133 : [bind(X_46, $fot(X_67))]])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_135, plain,
% 0.39/0.54 ('E'(0, f(g(g(g(g(X_67)))))) | 'E'(s(0), f(g(g(g(g(X_67)))))) |
% 0.39/0.54 'E'(s(s(0)), f(g(g(g(X_67))))) | 'E'(s(s(s(0))), f(g(g(X_67)))) |
% 0.39/0.54 'E'(s(s(s(s(0)))), f(g(X_67))) | 'E'(s(s(s(s(s(0))))), f(X_67))),
% 0.39/0.54 inference(resolve, [$cnf('LE'(f(g(g(g(g(X_67))))), s(0)))],
% 0.39/0.54 [refute_0_134, refute_0_131])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_136, plain,
% 0.39/0.54 ('E'(0, f(g(g(g(g(X_80)))))) | 'E'(s(0), f(g(g(g(g(X_80)))))) |
% 0.39/0.54 'E'(s(s(0)), f(g(g(g(X_80))))) | 'E'(s(s(s(0))), f(g(g(X_80)))) |
% 0.39/0.54 'E'(s(s(s(s(0)))), f(g(X_80))) | 'E'(s(s(s(s(s(0))))), f(X_80))),
% 0.39/0.54 inference(subst, [], [refute_0_135 : [bind(X_67, $fot(X_80))]])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_137, plain,
% 0.39/0.54 ('E'(0, f(g(g(g(g(X_80)))))) | 'E'(s(0), f(g(g(g(g(X_80)))))) |
% 0.39/0.54 'E'(s(s(0)), f(g(g(g(X_80))))) | 'E'(s(s(s(0))), f(g(g(X_80)))) |
% 0.39/0.54 'E'(s(s(s(s(0)))), f(g(X_80))) | 'LE'(f(g(X_80)), s(s(s(s(0)))))),
% 0.39/0.54 inference(resolve, [$cnf('E'(s(s(s(s(s(0))))), f(X_80)))],
% 0.39/0.54 [refute_0_136, refute_0_130])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_138, plain,
% 0.39/0.54 ('E'(0, f(g(g(g(g(X_88)))))) | 'E'(s(0), f(g(g(g(g(X_88)))))) |
% 0.39/0.54 'E'(s(s(0)), f(g(g(g(X_88))))) | 'E'(s(s(s(0))), f(g(g(X_88)))) |
% 0.39/0.54 'E'(s(s(s(s(0)))), f(g(X_88))) | 'LE'(f(g(X_88)), s(s(s(s(0)))))),
% 0.39/0.54 inference(subst, [], [refute_0_137 : [bind(X_80, $fot(X_88))]])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_139, plain,
% 0.39/0.54 ('E'(0, f(g(g(g(g(X_88)))))) | 'E'(s(0), f(g(g(g(g(X_88)))))) |
% 0.39/0.54 'E'(s(s(0)), f(g(g(g(X_88))))) | 'E'(s(s(s(0))), f(g(g(X_88)))) |
% 0.39/0.54 'E'(s(s(s(s(0)))), f(g(X_88))) | 'LE'(f(g(g(X_88))), s(s(s(0))))),
% 0.39/0.54 inference(resolve, [$cnf('LE'(f(g(X_88)), s(s(s(s(0))))))],
% 0.39/0.54 [refute_0_138, refute_0_129])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_140, plain,
% 0.39/0.54 ('E'(0, f(g(g(g(g(X_123)))))) | 'E'(s(0), f(g(g(g(g(X_123)))))) |
% 0.39/0.54 'E'(s(s(0)), f(g(g(g(X_123))))) | 'E'(s(s(s(0))), f(g(g(X_123)))) |
% 0.39/0.54 'E'(s(s(s(s(0)))), f(g(X_123))) | 'LE'(f(g(g(X_123))), s(s(s(0))))),
% 0.39/0.54 inference(subst, [], [refute_0_139 : [bind(X_88, $fot(X_123))]])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_141, plain,
% 0.39/0.54 ('E'(0, f(g(g(g(g(X_123)))))) | 'E'(s(0), f(g(g(g(g(X_123)))))) |
% 0.39/0.54 'E'(s(s(0)), f(g(g(g(X_123))))) | 'E'(s(s(s(0))), f(g(g(X_123)))) |
% 0.39/0.54 'E'(s(s(s(s(0)))), f(g(X_123))) | 'LE'(f(g(g(g(X_123)))), s(s(0)))),
% 0.39/0.54 inference(resolve, [$cnf('LE'(f(g(g(X_123))), s(s(s(0)))))],
% 0.39/0.54 [refute_0_140, refute_0_128])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_142, plain,
% 0.39/0.54 ('E'(0, f(g(g(g(g(X_129)))))) | 'E'(s(0), f(g(g(g(g(X_129)))))) |
% 0.39/0.54 'E'(s(s(0)), f(g(g(g(X_129))))) | 'E'(s(s(s(0))), f(g(g(X_129)))) |
% 0.39/0.54 'E'(s(s(s(s(0)))), f(g(X_129))) | 'LE'(f(g(g(g(X_129)))), s(s(0)))),
% 0.39/0.54 inference(subst, [], [refute_0_141 : [bind(X_123, $fot(X_129))]])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_143, plain,
% 0.39/0.54 ('E'(0, f(g(g(g(g(X_129)))))) | 'E'(s(0), f(g(g(g(g(X_129)))))) |
% 0.39/0.54 'E'(s(s(0)), f(g(g(g(X_129))))) | 'E'(s(s(s(0))), f(g(g(X_129)))) |
% 0.39/0.54 'E'(s(s(s(s(0)))), f(g(X_129))) | 'LE'(f(g(g(g(g(X_129))))), s(0))),
% 0.39/0.54 inference(resolve, [$cnf('LE'(f(g(g(g(X_129)))), s(s(0))))],
% 0.39/0.54 [refute_0_142, refute_0_127])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_144, plain,
% 0.39/0.54 ('E'(0, f(g(g(g(g(X_135)))))) | 'E'(s(0), f(g(g(g(g(X_135)))))) |
% 0.39/0.54 'E'(s(s(0)), f(g(g(g(X_135))))) | 'E'(s(s(s(0))), f(g(g(X_135)))) |
% 0.39/0.54 'E'(s(s(s(s(0)))), f(g(X_135))) | 'LE'(f(g(g(g(g(X_135))))), s(0))),
% 0.39/0.54 inference(subst, [], [refute_0_143 : [bind(X_129, $fot(X_135))]])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_145, plain,
% 0.39/0.54 ('E'(0, f(g(g(g(g(X_135)))))) | 'E'(s(0), f(g(g(g(g(X_135)))))) |
% 0.39/0.54 'E'(s(s(0)), f(g(g(g(X_135))))) | 'E'(s(s(s(0))), f(g(g(X_135)))) |
% 0.39/0.54 'E'(s(s(s(s(0)))), f(g(X_135)))),
% 0.39/0.54 inference(resolve, [$cnf('LE'(f(g(g(g(g(X_135))))), s(0)))],
% 0.39/0.54 [refute_0_144, refute_0_126])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_146, plain,
% 0.39/0.54 ('E'(0, f(g(g(g(g(X_136)))))) | 'E'(s(0), f(g(g(g(g(X_136)))))) |
% 0.39/0.54 'E'(s(s(0)), f(g(g(g(X_136))))) | 'E'(s(s(s(0))), f(g(g(X_136)))) |
% 0.39/0.54 'E'(s(s(s(s(0)))), f(g(X_136)))),
% 0.39/0.54 inference(subst, [], [refute_0_145 : [bind(X_135, $fot(X_136))]])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_147, plain,
% 0.39/0.54 ('E'(0, f(g(g(g(g(X_136)))))) | 'E'(s(0), f(g(g(g(g(X_136)))))) |
% 0.39/0.54 'E'(s(s(0)), f(g(g(g(X_136))))) | 'E'(s(s(s(0))), f(g(g(X_136)))) |
% 0.39/0.54 'LE'(f(g(g(X_136))), s(s(s(0))))),
% 0.39/0.54 inference(resolve, [$cnf('E'(s(s(s(s(0)))), f(g(X_136))))],
% 0.39/0.54 [refute_0_146, refute_0_125])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_148, plain,
% 0.39/0.54 ('E'(0, f(g(g(g(g(X_138)))))) | 'E'(s(0), f(g(g(g(g(X_138)))))) |
% 0.39/0.54 'E'(s(s(0)), f(g(g(g(X_138))))) | 'E'(s(s(s(0))), f(g(g(X_138)))) |
% 0.39/0.54 'LE'(f(g(g(X_138))), s(s(s(0))))),
% 0.39/0.54 inference(subst, [], [refute_0_147 : [bind(X_136, $fot(X_138))]])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_149, plain,
% 0.39/0.54 ('E'(0, f(g(g(g(g(X_138)))))) | 'E'(s(0), f(g(g(g(g(X_138)))))) |
% 0.39/0.54 'E'(s(s(0)), f(g(g(g(X_138))))) | 'E'(s(s(s(0))), f(g(g(X_138)))) |
% 0.39/0.54 'LE'(f(g(g(g(X_138)))), s(s(0)))),
% 0.39/0.54 inference(resolve, [$cnf('LE'(f(g(g(X_138))), s(s(s(0)))))],
% 0.39/0.54 [refute_0_148, refute_0_124])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_150, plain,
% 0.39/0.54 ('E'(0, f(g(g(g(g(X_139)))))) | 'E'(s(0), f(g(g(g(g(X_139)))))) |
% 0.39/0.54 'E'(s(s(0)), f(g(g(g(X_139))))) | 'E'(s(s(s(0))), f(g(g(X_139)))) |
% 0.39/0.54 'LE'(f(g(g(g(X_139)))), s(s(0)))),
% 0.39/0.54 inference(subst, [], [refute_0_149 : [bind(X_138, $fot(X_139))]])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_151, plain,
% 0.39/0.54 ('E'(0, f(g(g(g(g(X_139)))))) | 'E'(s(0), f(g(g(g(g(X_139)))))) |
% 0.39/0.54 'E'(s(s(0)), f(g(g(g(X_139))))) | 'E'(s(s(s(0))), f(g(g(X_139)))) |
% 0.39/0.54 'LE'(f(g(g(g(g(X_139))))), s(0))),
% 0.39/0.54 inference(resolve, [$cnf('LE'(f(g(g(g(X_139)))), s(s(0))))],
% 0.39/0.54 [refute_0_150, refute_0_123])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_152, plain,
% 0.39/0.54 ('E'(0, f(g(g(g(g(X_140)))))) | 'E'(s(0), f(g(g(g(g(X_140)))))) |
% 0.39/0.54 'E'(s(s(0)), f(g(g(g(X_140))))) | 'E'(s(s(s(0))), f(g(g(X_140)))) |
% 0.39/0.54 'LE'(f(g(g(g(g(X_140))))), s(0))),
% 0.39/0.54 inference(subst, [], [refute_0_151 : [bind(X_139, $fot(X_140))]])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_153, plain,
% 0.39/0.54 ('E'(0, f(g(g(g(g(X_140)))))) | 'E'(s(0), f(g(g(g(g(X_140)))))) |
% 0.39/0.54 'E'(s(s(0)), f(g(g(g(X_140))))) | 'E'(s(s(s(0))), f(g(g(X_140))))),
% 0.39/0.54 inference(resolve, [$cnf('LE'(f(g(g(g(g(X_140))))), s(0)))],
% 0.39/0.54 [refute_0_152, refute_0_122])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_154, plain,
% 0.39/0.54 ('E'(0, f(g(g(g(g(X_141)))))) | 'E'(s(0), f(g(g(g(g(X_141)))))) |
% 0.39/0.54 'E'(s(s(0)), f(g(g(g(X_141))))) | 'E'(s(s(s(0))), f(g(g(X_141))))),
% 0.39/0.54 inference(subst, [], [refute_0_153 : [bind(X_140, $fot(X_141))]])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_155, plain,
% 0.39/0.54 ('E'(0, f(g(g(g(g(X_141)))))) | 'E'(s(0), f(g(g(g(g(X_141)))))) |
% 0.39/0.54 'E'(s(s(0)), f(g(g(g(X_141))))) | 'LE'(f(g(g(g(X_141)))), s(s(0)))),
% 0.39/0.54 inference(resolve, [$cnf('E'(s(s(s(0))), f(g(g(X_141)))))],
% 0.39/0.54 [refute_0_154, refute_0_121])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_156, plain,
% 0.39/0.54 ('E'(0, f(g(g(g(g(X_143)))))) | 'E'(s(0), f(g(g(g(g(X_143)))))) |
% 0.39/0.54 'E'(s(s(0)), f(g(g(g(X_143))))) | 'LE'(f(g(g(g(X_143)))), s(s(0)))),
% 0.39/0.54 inference(subst, [], [refute_0_155 : [bind(X_141, $fot(X_143))]])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_157, plain,
% 0.39/0.54 ('E'(0, f(g(g(g(g(X_143)))))) | 'E'(s(0), f(g(g(g(g(X_143)))))) |
% 0.39/0.54 'E'(s(s(0)), f(g(g(g(X_143))))) | 'LE'(f(g(g(g(g(X_143))))), s(0))),
% 0.39/0.54 inference(resolve, [$cnf('LE'(f(g(g(g(X_143)))), s(s(0))))],
% 0.39/0.54 [refute_0_156, refute_0_120])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_158, plain,
% 0.39/0.54 ('E'(0, f(g(g(g(g(X_144)))))) | 'E'(s(0), f(g(g(g(g(X_144)))))) |
% 0.39/0.54 'E'(s(s(0)), f(g(g(g(X_144))))) | 'LE'(f(g(g(g(g(X_144))))), s(0))),
% 0.39/0.54 inference(subst, [], [refute_0_157 : [bind(X_143, $fot(X_144))]])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_159, plain,
% 0.39/0.54 ('E'(0, f(g(g(g(g(X_144)))))) | 'E'(s(0), f(g(g(g(g(X_144)))))) |
% 0.39/0.54 'E'(s(s(0)), f(g(g(g(X_144)))))),
% 0.39/0.54 inference(resolve, [$cnf('LE'(f(g(g(g(g(X_144))))), s(0)))],
% 0.39/0.54 [refute_0_158, refute_0_116])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_160, plain,
% 0.39/0.54 ('E'(0, f(g(g(g(g(X_145)))))) | 'E'(s(0), f(g(g(g(g(X_145)))))) |
% 0.39/0.54 'E'(s(s(0)), f(g(g(g(X_145)))))),
% 0.39/0.54 inference(subst, [], [refute_0_159 : [bind(X_144, $fot(X_145))]])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_161, plain,
% 0.39/0.54 ('E'(0, f(g(g(g(g(X_145)))))) | 'E'(s(0), f(g(g(g(g(X_145)))))) |
% 0.39/0.54 'LE'(f(g(g(g(g(X_145))))), s(0))),
% 0.39/0.54 inference(resolve, [$cnf('E'(s(s(0)), f(g(g(g(X_145))))))],
% 0.39/0.54 [refute_0_160, refute_0_115])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_162, plain,
% 0.39/0.54 ('E'(0, f(g(g(g(g(X_146)))))) | 'E'(s(0), f(g(g(g(g(X_146)))))) |
% 0.39/0.54 'LE'(f(g(g(g(g(X_146))))), s(0))),
% 0.39/0.54 inference(subst, [], [refute_0_161 : [bind(X_145, $fot(X_146))]])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_163, plain,
% 0.39/0.54 ('E'(0, f(g(g(g(g(X_146)))))) | 'E'(s(0), f(g(g(g(g(X_146))))))),
% 0.39/0.54 inference(resolve, [$cnf('LE'(f(g(g(g(g(X_146))))), s(0)))],
% 0.39/0.54 [refute_0_162, refute_0_8])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_164, plain,
% 0.39/0.54 ('E'(0, f(g(g(g(g(X_147)))))) | 'E'(s(0), f(g(g(g(g(X_147))))))),
% 0.39/0.54 inference(subst, [], [refute_0_163 : [bind(X_146, $fot(X_147))]])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_165, plain,
% 0.39/0.54 (~ 'E'(s(0), f(g(g(g(X_147))))) | 'E'(0, f(g(g(g(g(X_147))))))),
% 0.39/0.54 inference(resolve, [$cnf('E'(s(0), f(g(g(g(g(X_147)))))))],
% 0.39/0.54 [refute_0_164, refute_0_2])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_166, plain,
% 0.39/0.54 (~ 'E'(s(0), f(g(g(g(g(X_176)))))) | 'E'(0, f(g(g(g(g(g(X_176)))))))),
% 0.39/0.54 inference(subst, [], [refute_0_165 : [bind(X_147, $fot(g(X_176)))]])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_167, plain, (iLEQ(X_11, g(X_11))),
% 0.39/0.54 inference(subst, [], [clause_13_02 : [bind(A_2, $fot(X_11))]])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_168, plain,
% 0.39/0.54 (~ 'LE'(f(X_11), s(0)) | ~ iLEQ(X_11, g(X_11)) | 'E'(0, f(g(X_11)))),
% 0.39/0.54 inference(subst, [],
% 0.39/0.54 [refute_0_5 :
% 0.39/0.54 [bind(A_13, $fot(X_11)), bind(B_8, $fot(g(X_11)))]])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_169, plain, (~ 'LE'(f(X_11), s(0)) | 'E'(0, f(g(X_11)))),
% 0.39/0.54 inference(resolve, [$cnf(iLEQ(X_11, g(X_11)))],
% 0.39/0.54 [refute_0_167, refute_0_168])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_170, plain,
% 0.39/0.54 (~ 'LE'(f(g(g(g(g(X_175))))), s(0)) | 'E'(0, f(g(g(g(g(g(X_175)))))))),
% 0.39/0.54 inference(subst, [],
% 0.39/0.54 [refute_0_169 : [bind(X_11, $fot(g(g(g(g(X_175))))))]])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_171, plain,
% 0.39/0.54 (~ 'E'(s(s(0)), f(g(g(g(X_174))))) | 'E'(s(0), f(g(g(g(g(X_174)))))) |
% 0.39/0.54 'LE'(f(g(g(g(g(X_174))))), s(0))),
% 0.39/0.54 inference(subst, [], [refute_0_114 : [bind(X_96, $fot(g(X_174)))]])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_172, plain,
% 0.39/0.54 (~ 'LE'(f(g(g(g(g(X_173))))), s(0)) | 'E'(0, f(g(g(g(g(g(X_173)))))))),
% 0.39/0.54 inference(subst, [],
% 0.39/0.54 [refute_0_169 : [bind(X_11, $fot(g(g(g(g(X_173))))))]])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_173, plain,
% 0.39/0.54 (~ 'LE'(f(g(g(g(X_172)))), s(s(0))) | 'E'(s(0), f(g(g(g(g(X_172)))))) |
% 0.39/0.54 'LE'(f(g(g(g(g(X_172))))), s(0))),
% 0.39/0.54 inference(subst, [],
% 0.39/0.54 [refute_0_119 : [bind(X_15, $fot(g(g(g(X_172)))))]])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_174, plain,
% 0.39/0.54 (~ 'E'(s(s(s(0))), f(g(g(X_170)))) | 'E'(s(s(0)), f(g(g(g(X_170))))) |
% 0.39/0.54 'LE'(f(g(g(g(X_170)))), s(s(0)))),
% 0.39/0.54 inference(subst, [], [refute_0_78 : [bind(X_58, $fot(g(X_170)))]])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_175, plain,
% 0.39/0.54 (~ 'LE'(f(g(g(g(g(X_169))))), s(0)) | 'E'(0, f(g(g(g(g(g(X_169)))))))),
% 0.39/0.54 inference(subst, [],
% 0.39/0.54 [refute_0_169 : [bind(X_11, $fot(g(g(g(g(X_169))))))]])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_176, plain,
% 0.39/0.54 (~ 'LE'(f(g(g(g(X_168)))), s(s(0))) | 'E'(s(0), f(g(g(g(g(X_168)))))) |
% 0.39/0.54 'LE'(f(g(g(g(g(X_168))))), s(0))),
% 0.39/0.54 inference(subst, [],
% 0.39/0.54 [refute_0_119 : [bind(X_15, $fot(g(g(g(X_168)))))]])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_177, plain,
% 0.39/0.54 (~ 'LE'(f(g(g(X_167))), s(s(s(0)))) | 'E'(s(s(0)), f(g(g(g(X_167))))) |
% 0.39/0.54 'LE'(f(g(g(g(X_167)))), s(s(0)))),
% 0.39/0.54 inference(subst, [], [refute_0_83 : [bind(X_19, $fot(g(g(X_167))))]])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_178, plain,
% 0.39/0.54 (~ 'E'(s(s(s(s(0)))), f(g(X_165))) | 'E'(s(s(s(0))), f(g(g(X_165)))) |
% 0.39/0.54 'LE'(f(g(g(X_165))), s(s(s(0))))),
% 0.39/0.54 inference(subst, [], [refute_0_54 : [bind(X_40, $fot(g(X_165)))]])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_179, plain,
% 0.39/0.54 (~ 'LE'(f(g(g(g(g(X_164))))), s(0)) | 'E'(0, f(g(g(g(g(g(X_164)))))))),
% 0.39/0.54 inference(subst, [],
% 0.39/0.54 [refute_0_169 : [bind(X_11, $fot(g(g(g(g(X_164))))))]])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_180, plain,
% 0.39/0.54 (~ 'LE'(f(g(g(g(X_130)))), s(s(0))) | 'E'(s(0), f(g(g(g(g(X_130)))))) |
% 0.39/0.54 'LE'(f(g(g(g(g(X_130))))), s(0))),
% 0.39/0.54 inference(subst, [],
% 0.39/0.54 [refute_0_119 : [bind(X_15, $fot(g(g(g(X_130)))))]])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_181, plain,
% 0.39/0.54 (~ 'LE'(f(g(g(X_125))), s(s(s(0)))) | 'E'(s(s(0)), f(g(g(g(X_125))))) |
% 0.39/0.54 'LE'(f(g(g(g(X_125)))), s(s(0)))),
% 0.39/0.54 inference(subst, [], [refute_0_83 : [bind(X_19, $fot(g(g(X_125))))]])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_182, plain,
% 0.39/0.54 (~ 'LE'(f(g(X_107)), s(s(s(s(0))))) | 'E'(s(s(s(0))), f(g(g(X_107)))) |
% 0.39/0.54 'LE'(f(g(g(X_107))), s(s(s(0))))),
% 0.39/0.54 inference(subst, [], [refute_0_59 : [bind(X_23, $fot(g(X_107)))]])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_183, plain,
% 0.39/0.54 (~ 'E'(s(s(s(s(s(0))))), f(X_82)) | 'E'(s(s(s(s(0)))), f(g(X_82))) |
% 0.39/0.54 'LE'(f(g(X_82)), s(s(s(s(0)))))),
% 0.39/0.54 inference(subst, [], [refute_0_38 : [bind(A_2, $fot(X_82))]])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_184, plain,
% 0.39/0.54 (~ 'LE'(f(g(g(g(g(X_67))))), s(0)) | 'E'(0, f(g(g(g(g(g(X_67)))))))),
% 0.39/0.54 inference(subst, [],
% 0.39/0.54 [refute_0_169 : [bind(X_11, $fot(g(g(g(g(X_67))))))]])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_185, plain,
% 0.39/0.54 ('E'(0, f(g(g(g(g(g(X_67))))))) | 'E'(s(0), f(g(g(g(g(X_67)))))) |
% 0.39/0.54 'E'(s(s(0)), f(g(g(g(X_67))))) | 'E'(s(s(s(0))), f(g(g(X_67)))) |
% 0.39/0.54 'E'(s(s(s(s(0)))), f(g(X_67))) | 'E'(s(s(s(s(s(0))))), f(X_67))),
% 0.39/0.54 inference(resolve, [$cnf('LE'(f(g(g(g(g(X_67))))), s(0)))],
% 0.39/0.54 [refute_0_134, refute_0_184])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_186, plain,
% 0.39/0.54 ('E'(0, f(g(g(g(g(g(X_82))))))) | 'E'(s(0), f(g(g(g(g(X_82)))))) |
% 0.39/0.54 'E'(s(s(0)), f(g(g(g(X_82))))) | 'E'(s(s(s(0))), f(g(g(X_82)))) |
% 0.39/0.54 'E'(s(s(s(s(0)))), f(g(X_82))) | 'E'(s(s(s(s(s(0))))), f(X_82))),
% 0.39/0.54 inference(subst, [], [refute_0_185 : [bind(X_67, $fot(X_82))]])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_187, plain,
% 0.39/0.54 ('E'(0, f(g(g(g(g(g(X_82))))))) | 'E'(s(0), f(g(g(g(g(X_82)))))) |
% 0.39/0.54 'E'(s(s(0)), f(g(g(g(X_82))))) | 'E'(s(s(s(0))), f(g(g(X_82)))) |
% 0.39/0.54 'E'(s(s(s(s(0)))), f(g(X_82))) | 'LE'(f(g(X_82)), s(s(s(s(0)))))),
% 0.39/0.54 inference(resolve, [$cnf('E'(s(s(s(s(s(0))))), f(X_82)))],
% 0.39/0.54 [refute_0_186, refute_0_183])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_188, plain,
% 0.39/0.54 ('E'(0, f(g(g(g(g(g(X_107))))))) | 'E'(s(0), f(g(g(g(g(X_107)))))) |
% 0.39/0.54 'E'(s(s(0)), f(g(g(g(X_107))))) | 'E'(s(s(s(0))), f(g(g(X_107)))) |
% 0.39/0.54 'E'(s(s(s(s(0)))), f(g(X_107))) | 'LE'(f(g(X_107)), s(s(s(s(0)))))),
% 0.39/0.54 inference(subst, [], [refute_0_187 : [bind(X_82, $fot(X_107))]])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_189, plain,
% 0.39/0.54 ('E'(0, f(g(g(g(g(g(X_107))))))) | 'E'(s(0), f(g(g(g(g(X_107)))))) |
% 0.39/0.54 'E'(s(s(0)), f(g(g(g(X_107))))) | 'E'(s(s(s(0))), f(g(g(X_107)))) |
% 0.39/0.54 'E'(s(s(s(s(0)))), f(g(X_107))) | 'LE'(f(g(g(X_107))), s(s(s(0))))),
% 0.39/0.54 inference(resolve, [$cnf('LE'(f(g(X_107)), s(s(s(s(0))))))],
% 0.39/0.54 [refute_0_188, refute_0_182])).
% 0.39/0.54
% 0.39/0.54 cnf(refute_0_190, plain,
% 0.39/0.54 ('E'(0, f(g(g(g(g(g(X_125))))))) | 'E'(s(0), f(g(g(g(g(X_125)))))) |
% 0.39/0.54 'E'(s(s(0)), f(g(g(g(X_125))))) | 'E'(s(s(s(0))), f(g(g(X_125)))) |
% 0.39/0.54 'E'(s(s(s(s(0)))), f(g(X_125))) | 'LE'(f(g(g(X_125))), s(s(s(0))))),
% 0.39/0.54 inference(subst, [], [refute_0_189 : [bind(X_107, $fot(X_125))]])).
% 0.39/0.55
% 0.39/0.55 cnf(refute_0_191, plain,
% 0.39/0.55 ('E'(0, f(g(g(g(g(g(X_125))))))) | 'E'(s(0), f(g(g(g(g(X_125)))))) |
% 0.39/0.55 'E'(s(s(0)), f(g(g(g(X_125))))) | 'E'(s(s(s(0))), f(g(g(X_125)))) |
% 0.39/0.55 'E'(s(s(s(s(0)))), f(g(X_125))) | 'LE'(f(g(g(g(X_125)))), s(s(0)))),
% 0.39/0.55 inference(resolve, [$cnf('LE'(f(g(g(X_125))), s(s(s(0)))))],
% 0.39/0.55 [refute_0_190, refute_0_181])).
% 0.39/0.55
% 0.39/0.55 cnf(refute_0_192, plain,
% 0.39/0.55 ('E'(0, f(g(g(g(g(g(X_130))))))) | 'E'(s(0), f(g(g(g(g(X_130)))))) |
% 0.39/0.55 'E'(s(s(0)), f(g(g(g(X_130))))) | 'E'(s(s(s(0))), f(g(g(X_130)))) |
% 0.39/0.55 'E'(s(s(s(s(0)))), f(g(X_130))) | 'LE'(f(g(g(g(X_130)))), s(s(0)))),
% 0.39/0.55 inference(subst, [], [refute_0_191 : [bind(X_125, $fot(X_130))]])).
% 0.39/0.55
% 0.39/0.55 cnf(refute_0_193, plain,
% 0.39/0.55 ('E'(0, f(g(g(g(g(g(X_130))))))) | 'E'(s(0), f(g(g(g(g(X_130)))))) |
% 0.39/0.55 'E'(s(s(0)), f(g(g(g(X_130))))) | 'E'(s(s(s(0))), f(g(g(X_130)))) |
% 0.39/0.55 'E'(s(s(s(s(0)))), f(g(X_130))) | 'LE'(f(g(g(g(g(X_130))))), s(0))),
% 0.39/0.55 inference(resolve, [$cnf('LE'(f(g(g(g(X_130)))), s(s(0))))],
% 0.39/0.55 [refute_0_192, refute_0_180])).
% 0.39/0.55
% 0.39/0.55 cnf(refute_0_194, plain,
% 0.39/0.55 ('E'(0, f(g(g(g(g(g(X_164))))))) | 'E'(s(0), f(g(g(g(g(X_164)))))) |
% 0.39/0.55 'E'(s(s(0)), f(g(g(g(X_164))))) | 'E'(s(s(s(0))), f(g(g(X_164)))) |
% 0.39/0.55 'E'(s(s(s(s(0)))), f(g(X_164))) | 'LE'(f(g(g(g(g(X_164))))), s(0))),
% 0.39/0.55 inference(subst, [], [refute_0_193 : [bind(X_130, $fot(X_164))]])).
% 0.39/0.55
% 0.39/0.55 cnf(refute_0_195, plain,
% 0.39/0.55 ('E'(0, f(g(g(g(g(g(X_164))))))) | 'E'(s(0), f(g(g(g(g(X_164)))))) |
% 0.39/0.55 'E'(s(s(0)), f(g(g(g(X_164))))) | 'E'(s(s(s(0))), f(g(g(X_164)))) |
% 0.39/0.55 'E'(s(s(s(s(0)))), f(g(X_164)))),
% 0.39/0.55 inference(resolve, [$cnf('LE'(f(g(g(g(g(X_164))))), s(0)))],
% 0.39/0.55 [refute_0_194, refute_0_179])).
% 0.39/0.55
% 0.39/0.55 cnf(refute_0_196, plain,
% 0.39/0.55 ('E'(0, f(g(g(g(g(g(X_165))))))) | 'E'(s(0), f(g(g(g(g(X_165)))))) |
% 0.39/0.55 'E'(s(s(0)), f(g(g(g(X_165))))) | 'E'(s(s(s(0))), f(g(g(X_165)))) |
% 0.39/0.55 'E'(s(s(s(s(0)))), f(g(X_165)))),
% 0.39/0.55 inference(subst, [], [refute_0_195 : [bind(X_164, $fot(X_165))]])).
% 0.39/0.55
% 0.39/0.55 cnf(refute_0_197, plain,
% 0.39/0.55 ('E'(0, f(g(g(g(g(g(X_165))))))) | 'E'(s(0), f(g(g(g(g(X_165)))))) |
% 0.39/0.55 'E'(s(s(0)), f(g(g(g(X_165))))) | 'E'(s(s(s(0))), f(g(g(X_165)))) |
% 0.39/0.55 'LE'(f(g(g(X_165))), s(s(s(0))))),
% 0.39/0.55 inference(resolve, [$cnf('E'(s(s(s(s(0)))), f(g(X_165))))],
% 0.39/0.55 [refute_0_196, refute_0_178])).
% 0.39/0.55
% 0.39/0.55 cnf(refute_0_198, plain,
% 0.39/0.55 ('E'(0, f(g(g(g(g(g(X_167))))))) | 'E'(s(0), f(g(g(g(g(X_167)))))) |
% 0.39/0.55 'E'(s(s(0)), f(g(g(g(X_167))))) | 'E'(s(s(s(0))), f(g(g(X_167)))) |
% 0.39/0.55 'LE'(f(g(g(X_167))), s(s(s(0))))),
% 0.39/0.55 inference(subst, [], [refute_0_197 : [bind(X_165, $fot(X_167))]])).
% 0.39/0.55
% 0.39/0.55 cnf(refute_0_199, plain,
% 0.39/0.55 ('E'(0, f(g(g(g(g(g(X_167))))))) | 'E'(s(0), f(g(g(g(g(X_167)))))) |
% 0.39/0.55 'E'(s(s(0)), f(g(g(g(X_167))))) | 'E'(s(s(s(0))), f(g(g(X_167)))) |
% 0.39/0.55 'LE'(f(g(g(g(X_167)))), s(s(0)))),
% 0.39/0.55 inference(resolve, [$cnf('LE'(f(g(g(X_167))), s(s(s(0)))))],
% 0.39/0.55 [refute_0_198, refute_0_177])).
% 0.39/0.55
% 0.39/0.55 cnf(refute_0_200, plain,
% 0.39/0.55 ('E'(0, f(g(g(g(g(g(X_168))))))) | 'E'(s(0), f(g(g(g(g(X_168)))))) |
% 0.39/0.55 'E'(s(s(0)), f(g(g(g(X_168))))) | 'E'(s(s(s(0))), f(g(g(X_168)))) |
% 0.39/0.55 'LE'(f(g(g(g(X_168)))), s(s(0)))),
% 0.39/0.55 inference(subst, [], [refute_0_199 : [bind(X_167, $fot(X_168))]])).
% 0.39/0.55
% 0.39/0.55 cnf(refute_0_201, plain,
% 0.39/0.55 ('E'(0, f(g(g(g(g(g(X_168))))))) | 'E'(s(0), f(g(g(g(g(X_168)))))) |
% 0.39/0.55 'E'(s(s(0)), f(g(g(g(X_168))))) | 'E'(s(s(s(0))), f(g(g(X_168)))) |
% 0.39/0.55 'LE'(f(g(g(g(g(X_168))))), s(0))),
% 0.39/0.55 inference(resolve, [$cnf('LE'(f(g(g(g(X_168)))), s(s(0))))],
% 0.39/0.55 [refute_0_200, refute_0_176])).
% 0.39/0.55
% 0.39/0.55 cnf(refute_0_202, plain,
% 0.39/0.55 ('E'(0, f(g(g(g(g(g(X_169))))))) | 'E'(s(0), f(g(g(g(g(X_169)))))) |
% 0.39/0.55 'E'(s(s(0)), f(g(g(g(X_169))))) | 'E'(s(s(s(0))), f(g(g(X_169)))) |
% 0.39/0.55 'LE'(f(g(g(g(g(X_169))))), s(0))),
% 0.39/0.55 inference(subst, [], [refute_0_201 : [bind(X_168, $fot(X_169))]])).
% 0.39/0.55
% 0.39/0.55 cnf(refute_0_203, plain,
% 0.39/0.55 ('E'(0, f(g(g(g(g(g(X_169))))))) | 'E'(s(0), f(g(g(g(g(X_169)))))) |
% 0.39/0.55 'E'(s(s(0)), f(g(g(g(X_169))))) | 'E'(s(s(s(0))), f(g(g(X_169))))),
% 0.39/0.55 inference(resolve, [$cnf('LE'(f(g(g(g(g(X_169))))), s(0)))],
% 0.39/0.55 [refute_0_202, refute_0_175])).
% 0.39/0.55
% 0.39/0.55 cnf(refute_0_204, plain,
% 0.39/0.55 ('E'(0, f(g(g(g(g(g(X_170))))))) | 'E'(s(0), f(g(g(g(g(X_170)))))) |
% 0.39/0.55 'E'(s(s(0)), f(g(g(g(X_170))))) | 'E'(s(s(s(0))), f(g(g(X_170))))),
% 0.39/0.55 inference(subst, [], [refute_0_203 : [bind(X_169, $fot(X_170))]])).
% 0.39/0.55
% 0.39/0.55 cnf(refute_0_205, plain,
% 0.39/0.55 ('E'(0, f(g(g(g(g(g(X_170))))))) | 'E'(s(0), f(g(g(g(g(X_170)))))) |
% 0.39/0.55 'E'(s(s(0)), f(g(g(g(X_170))))) | 'LE'(f(g(g(g(X_170)))), s(s(0)))),
% 0.39/0.55 inference(resolve, [$cnf('E'(s(s(s(0))), f(g(g(X_170)))))],
% 0.39/0.55 [refute_0_204, refute_0_174])).
% 0.39/0.55
% 0.39/0.55 cnf(refute_0_206, plain,
% 0.39/0.55 ('E'(0, f(g(g(g(g(g(X_172))))))) | 'E'(s(0), f(g(g(g(g(X_172)))))) |
% 0.39/0.55 'E'(s(s(0)), f(g(g(g(X_172))))) | 'LE'(f(g(g(g(X_172)))), s(s(0)))),
% 0.39/0.55 inference(subst, [], [refute_0_205 : [bind(X_170, $fot(X_172))]])).
% 0.39/0.55
% 0.39/0.55 cnf(refute_0_207, plain,
% 0.39/0.55 ('E'(0, f(g(g(g(g(g(X_172))))))) | 'E'(s(0), f(g(g(g(g(X_172)))))) |
% 0.39/0.55 'E'(s(s(0)), f(g(g(g(X_172))))) | 'LE'(f(g(g(g(g(X_172))))), s(0))),
% 0.39/0.55 inference(resolve, [$cnf('LE'(f(g(g(g(X_172)))), s(s(0))))],
% 0.39/0.55 [refute_0_206, refute_0_173])).
% 0.39/0.55
% 0.39/0.55 cnf(refute_0_208, plain,
% 0.39/0.55 ('E'(0, f(g(g(g(g(g(X_173))))))) | 'E'(s(0), f(g(g(g(g(X_173)))))) |
% 0.39/0.55 'E'(s(s(0)), f(g(g(g(X_173))))) | 'LE'(f(g(g(g(g(X_173))))), s(0))),
% 0.39/0.55 inference(subst, [], [refute_0_207 : [bind(X_172, $fot(X_173))]])).
% 0.39/0.55
% 0.39/0.55 cnf(refute_0_209, plain,
% 0.39/0.55 ('E'(0, f(g(g(g(g(g(X_173))))))) | 'E'(s(0), f(g(g(g(g(X_173)))))) |
% 0.39/0.55 'E'(s(s(0)), f(g(g(g(X_173)))))),
% 0.39/0.55 inference(resolve, [$cnf('LE'(f(g(g(g(g(X_173))))), s(0)))],
% 0.39/0.55 [refute_0_208, refute_0_172])).
% 0.39/0.55
% 0.39/0.55 cnf(refute_0_210, plain,
% 0.39/0.55 ('E'(0, f(g(g(g(g(g(X_174))))))) | 'E'(s(0), f(g(g(g(g(X_174)))))) |
% 0.39/0.55 'E'(s(s(0)), f(g(g(g(X_174)))))),
% 0.39/0.55 inference(subst, [], [refute_0_209 : [bind(X_173, $fot(X_174))]])).
% 0.39/0.55
% 0.39/0.55 cnf(refute_0_211, plain,
% 0.39/0.55 ('E'(0, f(g(g(g(g(g(X_174))))))) | 'E'(s(0), f(g(g(g(g(X_174)))))) |
% 0.39/0.55 'LE'(f(g(g(g(g(X_174))))), s(0))),
% 0.39/0.55 inference(resolve, [$cnf('E'(s(s(0)), f(g(g(g(X_174))))))],
% 0.39/0.55 [refute_0_210, refute_0_171])).
% 0.39/0.55
% 0.39/0.55 cnf(refute_0_212, plain,
% 0.39/0.55 ('E'(0, f(g(g(g(g(g(X_175))))))) | 'E'(s(0), f(g(g(g(g(X_175)))))) |
% 0.39/0.55 'LE'(f(g(g(g(g(X_175))))), s(0))),
% 0.39/0.55 inference(subst, [], [refute_0_211 : [bind(X_174, $fot(X_175))]])).
% 0.39/0.55
% 0.39/0.55 cnf(refute_0_213, plain,
% 0.39/0.55 ('E'(0, f(g(g(g(g(g(X_175))))))) | 'E'(s(0), f(g(g(g(g(X_175))))))),
% 0.39/0.55 inference(resolve, [$cnf('LE'(f(g(g(g(g(X_175))))), s(0)))],
% 0.39/0.55 [refute_0_212, refute_0_170])).
% 0.39/0.55
% 0.39/0.55 cnf(refute_0_214, plain,
% 0.39/0.55 ('E'(0, f(g(g(g(g(g(X_176))))))) | 'E'(s(0), f(g(g(g(g(X_176))))))),
% 0.39/0.55 inference(subst, [], [refute_0_213 : [bind(X_175, $fot(X_176))]])).
% 0.39/0.55
% 0.39/0.55 cnf(refute_0_215, plain, ('E'(0, f(g(g(g(g(g(X_176)))))))),
% 0.39/0.55 inference(resolve, [$cnf('E'(s(0), f(g(g(g(g(X_176)))))))],
% 0.39/0.55 [refute_0_214, refute_0_166])).
% 0.39/0.55
% 0.39/0.55 cnf(refute_0_216, plain, (~ 'E'(f(A_15), f(g(A_15)))),
% 0.39/0.55 inference(subst, [], [clause_31_05 : [bind(A_8, $fot(A_15))]])).
% 0.39/0.55
% 0.39/0.55 cnf(refute_0_217, plain, (~ 'E'(0, f(A_15)) | ~ 'E'(0, f(g(A_15)))),
% 0.39/0.55 inference(resolve, [$cnf('E'(f(A_15), f(g(A_15))))],
% 0.39/0.55 [clause_29_24, refute_0_216])).
% 0.39/0.55
% 0.39/0.55 cnf(refute_0_218, plain,
% 0.39/0.55 (~ 'E'(0, f(g(g(g(g(X_177)))))) | ~ 'E'(0, f(g(g(g(g(g(X_177)))))))),
% 0.39/0.55 inference(subst, [],
% 0.39/0.55 [refute_0_217 : [bind(A_15, $fot(g(g(g(g(X_177))))))]])).
% 0.39/0.55
% 0.39/0.55 cnf(refute_0_219, plain, ('E'(0, f(g(g(g(g(g(X_177)))))))),
% 0.39/0.55 inference(subst, [], [refute_0_215 : [bind(X_176, $fot(X_177))]])).
% 0.39/0.55
% 0.39/0.55 cnf(refute_0_220, plain, (~ 'E'(0, f(g(g(g(g(X_177))))))),
% 0.39/0.55 inference(resolve, [$cnf('E'(0, f(g(g(g(g(g(X_177))))))))],
% 0.39/0.55 [refute_0_219, refute_0_218])).
% 0.39/0.55
% 0.39/0.55 cnf(refute_0_221, plain, (~ 'E'(0, f(g(g(g(g(g(X_176)))))))),
% 0.39/0.55 inference(subst, [], [refute_0_220 : [bind(X_177, $fot(g(X_176)))]])).
% 0.39/0.55
% 0.39/0.55 cnf(refute_0_222, plain, ($false),
% 0.39/0.55 inference(resolve, [$cnf('E'(0, f(g(g(g(g(g(X_176))))))))],
% 0.39/0.55 [refute_0_215, refute_0_221])).
% 0.39/0.55 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.55
%------------------------------------------------------------------------------