TSTP Solution File: SYO657-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYO657-1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n026.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 18:40:42 EDT 2022
% Result : Unsatisfiable 0.21s 0.49s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYO657-1 : TPTP v8.1.0. Released v7.3.0.
% 0.08/0.13 % Command : metis --show proof --show saturation %s
% 0.15/0.35 % Computer : n026.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Sat Jul 9 14:28:55 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.15/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.21/0.49 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.49
% 0.21/0.49 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.50 cnf(clause_10, axiom,
% 0.21/0.50 (~ 'E'(0, f(suc(A_2))) | ~ 'E'(0, f(A_2)) |
% 0.21/0.50 ~ iLEQ(suc(A_2), suc(B_6)) | ~ 'E'(0, f(B_6)) |
% 0.21/0.50 ~ 'E'(0, f(suc(B_6))) | 'E'(f(A_2), f(suc(A_2))) |
% 0.21/0.50 'E'(f(B_6), f(suc(B_6))))).
% 0.21/0.50
% 0.21/0.50 cnf(clause_45, axiom,
% 0.21/0.50 (~ 'LE'(f(suc(suc(B_2))), s(s(0))) | 'E'(s(0), f(suc(suc(B_2)))) |
% 0.21/0.50 'LE'(f(B_2), s(0)))).
% 0.21/0.50
% 0.21/0.50 cnf(clause_17, axiom, ('LE'(f(A), s(s(0))))).
% 0.21/0.50
% 0.21/0.50 cnf(clause_23, axiom,
% 0.21/0.50 (~ 'E'(s(0), f(A_1)) | ~ 'E'(s(0), f(suc(A_1))) |
% 0.21/0.50 'E'(f(A_1), f(suc(A_1))) | iLEQ(suc(A_1), suc(A_1)))).
% 0.21/0.50
% 0.21/0.50 cnf(clause_9, axiom,
% 0.21/0.50 (~ 'LE'(f(B_2), s(s(0))) | 'E'(s(0), f(B_2)) | 'LE'(f(B_2), s(0)))).
% 0.21/0.50
% 0.21/0.50 cnf(clause_34, axiom,
% 0.21/0.50 (~ 'LE'(f(B_5), s(0)) | 'E'(0, f(B_5)) | 'LE'(f(B_5), 0))).
% 0.21/0.50
% 0.21/0.50 cnf(clause_41, axiom,
% 0.21/0.50 (~ 'E'(0, f(suc(suc(A_2)))) | ~ 'E'(0, f(suc(A_2))) |
% 0.21/0.50 ~ 'E'(f(A_2), f(suc(A_2))) | ~ 'E'(0, f(A_2)) |
% 0.21/0.50 iLEQ(suc(A_2), suc(A_2)))).
% 0.21/0.50
% 0.21/0.50 cnf(clause_26, axiom,
% 0.21/0.50 (~ 'E'(0, f(A_2)) | ~ 'E'(0, f(suc(A_2))) | 'E'(f(A_2), f(suc(A_2))) |
% 0.21/0.50 iLEQ(suc(A_2), suc(A_2)))).
% 0.21/0.50
% 0.21/0.50 cnf(clause_43, axiom,
% 0.21/0.50 (~ 'E'(0, f(suc(A_2))) | ~ 'E'(0, f(suc(suc(B_6)))) |
% 0.21/0.50 ~ 'E'(0, f(suc(suc(A_2)))) | ~ 'E'(0, f(A_2)) |
% 0.21/0.50 ~ iLEQ(suc(A_2), suc(B_6)) | ~ 'E'(0, f(B_6)) |
% 0.21/0.50 ~ 'E'(f(A_2), f(suc(A_2))) | ~ 'E'(f(B_6), f(suc(B_6))) |
% 0.21/0.50 ~ 'E'(0, f(suc(B_6))))).
% 0.21/0.50
% 0.21/0.50 cnf(clause_40, axiom,
% 0.21/0.50 (~ 'LE'(f(suc(B_5)), s(0)) | 'E'(0, f(suc(B_5))) | 'LE'(f(B_5), 0))).
% 0.21/0.50
% 0.21/0.50 cnf(clause_51, axiom,
% 0.21/0.50 (~ 'LE'(f(suc(suc(B_5))), s(0)) | 'E'(0, f(suc(suc(B_5)))) |
% 0.21/0.50 'LE'(f(B_5), 0))).
% 0.21/0.50
% 0.21/0.50 cnf(clause_24, axiom, (~ 'LE'(f(z), 0))).
% 0.21/0.50
% 0.21/0.50 cnf(clause_32, axiom,
% 0.21/0.50 (~ 'LE'(f(suc(B_2)), s(s(0))) | 'E'(s(0), f(suc(B_2))) |
% 0.21/0.50 'LE'(f(B_2), s(0)))).
% 0.21/0.50
% 0.21/0.50 cnf(clause_52, axiom,
% 0.21/0.50 (~ iLEQ(suc(A_1), suc(B_3)) | ~ 'E'(s(0), f(A_1)) |
% 0.21/0.50 ~ 'E'(s(0), f(suc(A_1))) | ~ 'E'(s(0), f(suc(B_3))) |
% 0.21/0.50 ~ 'E'(s(0), f(B_3)) | 'E'(f(A_1), f(suc(A_1))) |
% 0.21/0.50 'E'(f(B_3), f(suc(B_3))))).
% 0.21/0.50
% 0.21/0.50 cnf(clause_5, axiom,
% 0.21/0.50 (~ 'E'(s(0), f(suc(suc(A_1)))) | ~ 'E'(s(0), f(suc(A_1))) |
% 0.21/0.50 ~ 'E'(f(A_1), f(suc(A_1))) | ~ 'E'(s(0), f(A_1)) |
% 0.21/0.50 iLEQ(suc(A_1), suc(A_1)))).
% 0.21/0.50
% 0.21/0.50 cnf(clause_33, axiom,
% 0.21/0.50 (~ iLEQ(suc(A_1), suc(B_3)) | ~ 'E'(s(0), f(suc(suc(A_1)))) |
% 0.21/0.50 ~ 'E'(s(0), f(A_1)) | ~ 'E'(s(0), f(suc(suc(B_3)))) |
% 0.21/0.50 ~ 'E'(s(0), f(suc(A_1))) | ~ 'E'(s(0), f(suc(B_3))) |
% 0.21/0.50 ~ 'E'(s(0), f(B_3)) | ~ 'E'(f(B_3), f(suc(B_3))) |
% 0.21/0.50 ~ 'E'(f(A_1), f(suc(A_1))))).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_0, plain,
% 0.21/0.50 (~ 'LE'(f(suc(X_79)), s(0)) | 'E'(0, f(suc(X_79))) | 'LE'(f(X_79), 0)),
% 0.21/0.50 inference(subst, [], [clause_40 : [bind(B_5, $fot(X_79))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_1, plain, ('LE'(f(B_2), s(s(0)))),
% 0.21/0.50 inference(subst, [], [clause_17 : [bind(A, $fot(B_2))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_2, plain, ('E'(s(0), f(B_2)) | 'LE'(f(B_2), s(0))),
% 0.21/0.50 inference(resolve, [$cnf('LE'(f(B_2), s(s(0))))],
% 0.21/0.50 [refute_0_1, clause_9])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_3, plain, ('E'(s(0), f(suc(X_6))) | 'LE'(f(suc(X_6)), s(0))),
% 0.21/0.50 inference(subst, [], [refute_0_2 : [bind(B_2, $fot(suc(X_6)))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_4, plain,
% 0.21/0.50 (~ 'LE'(f(suc(X_6)), s(0)) | 'E'(0, f(suc(X_6))) | 'LE'(f(X_6), 0)),
% 0.21/0.50 inference(subst, [], [clause_40 : [bind(B_5, $fot(X_6))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_5, plain,
% 0.21/0.50 ('E'(0, f(suc(X_6))) | 'E'(s(0), f(suc(X_6))) | 'LE'(f(X_6), 0)),
% 0.21/0.50 inference(resolve, [$cnf('LE'(f(suc(X_6)), s(0)))],
% 0.21/0.50 [refute_0_3, refute_0_4])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_6, plain,
% 0.21/0.50 ('E'(0, f(suc(X_78))) | 'E'(s(0), f(suc(X_78))) | 'LE'(f(X_78), 0)),
% 0.21/0.50 inference(subst, [], [refute_0_5 : [bind(X_6, $fot(X_78))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_7, plain,
% 0.21/0.50 ('E'(0, f(suc(X_73))) | 'E'(s(0), f(suc(X_73))) | 'LE'(f(X_73), 0)),
% 0.21/0.50 inference(subst, [], [refute_0_5 : [bind(X_6, $fot(X_73))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_8, plain, ('LE'(f(suc(B_2)), s(s(0)))),
% 0.21/0.50 inference(subst, [], [clause_17 : [bind(A, $fot(suc(B_2)))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_9, plain, ('E'(s(0), f(suc(B_2))) | 'LE'(f(B_2), s(0))),
% 0.21/0.50 inference(resolve, [$cnf('LE'(f(suc(B_2)), s(s(0))))],
% 0.21/0.50 [refute_0_8, clause_32])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_10, plain, ('E'(s(0), f(suc(X_24))) | 'LE'(f(X_24), s(0))),
% 0.21/0.50 inference(subst, [], [refute_0_9 : [bind(B_2, $fot(X_24))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_11, plain, ('LE'(f(suc(suc(B_2))), s(s(0)))),
% 0.21/0.50 inference(subst, [], [clause_17 : [bind(A, $fot(suc(suc(B_2))))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_12, plain, ('E'(s(0), f(suc(suc(B_2)))) | 'LE'(f(B_2), s(0))),
% 0.21/0.50 inference(resolve, [$cnf('LE'(f(suc(suc(B_2))), s(s(0))))],
% 0.21/0.50 [refute_0_11, clause_45])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_13, plain,
% 0.21/0.50 ('E'(s(0), f(suc(suc(X_17)))) | 'LE'(f(X_17), s(0))),
% 0.21/0.50 inference(subst, [], [refute_0_12 : [bind(B_2, $fot(X_17))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_14, plain,
% 0.21/0.50 (~ 'E'(f(X_17), f(suc(X_17))) | ~ 'E'(s(0), f(X_17)) |
% 0.21/0.50 ~ 'E'(s(0), f(suc(X_17))) | ~ 'E'(s(0), f(suc(suc(X_17)))) |
% 0.21/0.50 iLEQ(suc(X_17), suc(X_17))),
% 0.21/0.50 inference(subst, [], [clause_5 : [bind(A_1, $fot(X_17))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_15, plain,
% 0.21/0.50 (~ 'E'(f(X_17), f(suc(X_17))) | ~ 'E'(s(0), f(X_17)) |
% 0.21/0.50 ~ 'E'(s(0), f(suc(X_17))) | 'LE'(f(X_17), s(0)) |
% 0.21/0.50 iLEQ(suc(X_17), suc(X_17))),
% 0.21/0.50 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_17)))))],
% 0.21/0.50 [refute_0_13, refute_0_14])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_16, plain,
% 0.21/0.50 (~ 'E'(f(X_24), f(suc(X_24))) | ~ 'E'(s(0), f(X_24)) |
% 0.21/0.50 ~ 'E'(s(0), f(suc(X_24))) | 'LE'(f(X_24), s(0)) |
% 0.21/0.50 iLEQ(suc(X_24), suc(X_24))),
% 0.21/0.50 inference(subst, [], [refute_0_15 : [bind(X_17, $fot(X_24))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_17, plain,
% 0.21/0.50 (~ 'E'(f(X_24), f(suc(X_24))) | ~ 'E'(s(0), f(X_24)) |
% 0.21/0.50 'LE'(f(X_24), s(0)) | iLEQ(suc(X_24), suc(X_24))),
% 0.21/0.50 inference(resolve, [$cnf('E'(s(0), f(suc(X_24))))],
% 0.21/0.50 [refute_0_10, refute_0_16])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_18, plain,
% 0.21/0.50 (~ 'E'(f(suc(X_72)), f(suc(suc(X_72)))) | ~ 'E'(s(0), f(suc(X_72))) |
% 0.21/0.50 'LE'(f(suc(X_72)), s(0)) | iLEQ(suc(suc(X_72)), suc(suc(X_72)))),
% 0.21/0.50 inference(subst, [], [refute_0_17 : [bind(X_24, $fot(suc(X_72)))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_19, plain, ('E'(s(0), f(suc(X_11))) | 'LE'(f(X_11), s(0))),
% 0.21/0.50 inference(subst, [], [refute_0_9 : [bind(B_2, $fot(X_11))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_20, plain,
% 0.21/0.50 (~ 'E'(s(0), f(X_11)) | ~ 'E'(s(0), f(suc(X_11))) |
% 0.21/0.50 'E'(f(X_11), f(suc(X_11))) | iLEQ(suc(X_11), suc(X_11))),
% 0.21/0.50 inference(subst, [], [clause_23 : [bind(A_1, $fot(X_11))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_21, plain,
% 0.21/0.50 (~ 'E'(s(0), f(X_11)) | 'E'(f(X_11), f(suc(X_11))) |
% 0.21/0.50 'LE'(f(X_11), s(0)) | iLEQ(suc(X_11), suc(X_11))),
% 0.21/0.50 inference(resolve, [$cnf('E'(s(0), f(suc(X_11))))],
% 0.21/0.50 [refute_0_19, refute_0_20])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_22, plain,
% 0.21/0.50 (~ 'E'(s(0), f(suc(X_6))) | 'E'(f(suc(X_6)), f(suc(suc(X_6)))) |
% 0.21/0.50 'LE'(f(suc(X_6)), s(0)) | iLEQ(suc(suc(X_6)), suc(suc(X_6)))),
% 0.21/0.50 inference(subst, [], [refute_0_21 : [bind(X_11, $fot(suc(X_6)))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_23, plain,
% 0.21/0.50 ('E'(0, f(suc(X_6))) | 'E'(f(suc(X_6)), f(suc(suc(X_6)))) |
% 0.21/0.50 'LE'(f(X_6), 0) | 'LE'(f(suc(X_6)), s(0)) |
% 0.21/0.50 iLEQ(suc(suc(X_6)), suc(suc(X_6)))),
% 0.21/0.50 inference(resolve, [$cnf('E'(s(0), f(suc(X_6))))],
% 0.21/0.50 [refute_0_5, refute_0_22])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_24, plain,
% 0.21/0.50 ('E'(0, f(suc(X_72))) | 'E'(f(suc(X_72)), f(suc(suc(X_72)))) |
% 0.21/0.50 'LE'(f(X_72), 0) | 'LE'(f(suc(X_72)), s(0)) |
% 0.21/0.50 iLEQ(suc(suc(X_72)), suc(suc(X_72)))),
% 0.21/0.50 inference(subst, [], [refute_0_23 : [bind(X_6, $fot(X_72))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_25, plain,
% 0.21/0.50 (~ 'E'(s(0), f(suc(X_72))) | 'E'(0, f(suc(X_72))) | 'LE'(f(X_72), 0) |
% 0.21/0.50 'LE'(f(suc(X_72)), s(0)) | iLEQ(suc(suc(X_72)), suc(suc(X_72)))),
% 0.21/0.50 inference(resolve, [$cnf('E'(f(suc(X_72)), f(suc(suc(X_72)))))],
% 0.21/0.50 [refute_0_24, refute_0_18])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_26, plain,
% 0.21/0.50 (~ 'E'(s(0), f(suc(X_73))) | 'E'(0, f(suc(X_73))) | 'LE'(f(X_73), 0) |
% 0.21/0.50 'LE'(f(suc(X_73)), s(0)) | iLEQ(suc(suc(X_73)), suc(suc(X_73)))),
% 0.21/0.50 inference(subst, [], [refute_0_25 : [bind(X_72, $fot(X_73))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_27, plain,
% 0.21/0.50 ('E'(0, f(suc(X_73))) | 'LE'(f(X_73), 0) | 'LE'(f(suc(X_73)), s(0)) |
% 0.21/0.50 iLEQ(suc(suc(X_73)), suc(suc(X_73)))),
% 0.21/0.50 inference(resolve, [$cnf('E'(s(0), f(suc(X_73))))],
% 0.21/0.50 [refute_0_7, refute_0_26])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_28, plain,
% 0.21/0.50 ('E'(0, f(suc(X_77))) | 'LE'(f(X_77), 0) | 'LE'(f(suc(X_77)), s(0)) |
% 0.21/0.50 iLEQ(suc(suc(X_77)), suc(suc(X_77)))),
% 0.21/0.50 inference(subst, [], [refute_0_27 : [bind(X_73, $fot(X_77))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_29, plain, ('E'(s(0), f(suc(X_31))) | 'LE'(f(X_31), s(0))),
% 0.21/0.50 inference(subst, [], [refute_0_9 : [bind(B_2, $fot(X_31))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_30, plain,
% 0.21/0.50 ('E'(s(0), f(suc(suc(X_18)))) | 'LE'(f(X_18), s(0))),
% 0.21/0.50 inference(subst, [], [refute_0_12 : [bind(B_2, $fot(X_18))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_31, plain,
% 0.21/0.50 (~ 'E'(f(X_18), f(suc(X_18))) | ~ 'E'(s(0), f(X_18)) |
% 0.21/0.50 ~ 'E'(s(0), f(suc(X_18))) | ~ 'E'(s(0), f(suc(suc(X_18)))) |
% 0.21/0.50 ~ iLEQ(suc(X_18), suc(X_18))),
% 0.21/0.50 inference(subst, [],
% 0.21/0.50 [clause_33 :
% 0.21/0.50 [bind(A_1, $fot(X_18)), bind(B_3, $fot(X_18))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_32, plain,
% 0.21/0.50 (~ 'E'(f(X_18), f(suc(X_18))) | ~ 'E'(s(0), f(X_18)) |
% 0.21/0.50 ~ 'E'(s(0), f(suc(X_18))) | ~ iLEQ(suc(X_18), suc(X_18)) |
% 0.21/0.50 'LE'(f(X_18), s(0))),
% 0.21/0.50 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_18)))))],
% 0.21/0.50 [refute_0_30, refute_0_31])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_33, plain,
% 0.21/0.50 (~ 'E'(f(X_31), f(suc(X_31))) | ~ 'E'(s(0), f(X_31)) |
% 0.21/0.50 ~ 'E'(s(0), f(suc(X_31))) | ~ iLEQ(suc(X_31), suc(X_31)) |
% 0.21/0.50 'LE'(f(X_31), s(0))),
% 0.21/0.50 inference(subst, [], [refute_0_32 : [bind(X_18, $fot(X_31))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_34, plain,
% 0.21/0.50 (~ 'E'(f(X_31), f(suc(X_31))) | ~ 'E'(s(0), f(X_31)) |
% 0.21/0.50 ~ iLEQ(suc(X_31), suc(X_31)) | 'LE'(f(X_31), s(0))),
% 0.21/0.50 inference(resolve, [$cnf('E'(s(0), f(suc(X_31))))],
% 0.21/0.50 [refute_0_29, refute_0_33])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_35, plain,
% 0.21/0.50 (~ 'E'(f(suc(X_76)), f(suc(suc(X_76)))) | ~ 'E'(s(0), f(suc(X_76))) |
% 0.21/0.50 ~ iLEQ(suc(suc(X_76)), suc(suc(X_76))) | 'LE'(f(suc(X_76)), s(0))),
% 0.21/0.50 inference(subst, [], [refute_0_34 : [bind(X_31, $fot(suc(X_76)))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_36, plain,
% 0.21/0.50 ('E'(0, f(suc(X_75))) | 'E'(s(0), f(suc(X_75))) | 'LE'(f(X_75), 0)),
% 0.21/0.50 inference(subst, [], [refute_0_5 : [bind(X_6, $fot(X_75))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_37, plain, ('E'(s(0), f(suc(X_12))) | 'LE'(f(X_12), s(0))),
% 0.21/0.50 inference(subst, [], [refute_0_9 : [bind(B_2, $fot(X_12))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_38, plain,
% 0.21/0.50 (~ 'E'(s(0), f(X_12)) | ~ 'E'(s(0), f(suc(X_12))) |
% 0.21/0.50 ~ iLEQ(suc(X_12), suc(X_12)) | 'E'(f(X_12), f(suc(X_12)))),
% 0.21/0.50 inference(subst, [],
% 0.21/0.50 [clause_52 :
% 0.21/0.50 [bind(A_1, $fot(X_12)), bind(B_3, $fot(X_12))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_39, plain,
% 0.21/0.50 (~ 'E'(s(0), f(X_12)) | ~ iLEQ(suc(X_12), suc(X_12)) |
% 0.21/0.50 'E'(f(X_12), f(suc(X_12))) | 'LE'(f(X_12), s(0))),
% 0.21/0.50 inference(resolve, [$cnf('E'(s(0), f(suc(X_12))))],
% 0.21/0.50 [refute_0_37, refute_0_38])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_40, plain,
% 0.21/0.50 (~ 'E'(s(0), f(suc(X_74))) | ~ iLEQ(suc(suc(X_74)), suc(suc(X_74))) |
% 0.21/0.50 'E'(f(suc(X_74)), f(suc(suc(X_74)))) | 'LE'(f(suc(X_74)), s(0))),
% 0.21/0.50 inference(subst, [], [refute_0_39 : [bind(X_12, $fot(suc(X_74)))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_41, plain,
% 0.21/0.50 ('E'(0, f(suc(X_74))) | 'LE'(f(X_74), 0) | 'LE'(f(suc(X_74)), s(0)) |
% 0.21/0.50 iLEQ(suc(suc(X_74)), suc(suc(X_74)))),
% 0.21/0.50 inference(subst, [], [refute_0_27 : [bind(X_73, $fot(X_74))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_42, plain,
% 0.21/0.50 (~ 'E'(s(0), f(suc(X_74))) | 'E'(0, f(suc(X_74))) |
% 0.21/0.50 'E'(f(suc(X_74)), f(suc(suc(X_74)))) | 'LE'(f(X_74), 0) |
% 0.21/0.50 'LE'(f(suc(X_74)), s(0))),
% 0.21/0.50 inference(resolve, [$cnf(iLEQ(suc(suc(X_74)), suc(suc(X_74))))],
% 0.21/0.50 [refute_0_41, refute_0_40])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_43, plain,
% 0.21/0.50 (~ 'E'(s(0), f(suc(X_75))) | 'E'(0, f(suc(X_75))) |
% 0.21/0.50 'E'(f(suc(X_75)), f(suc(suc(X_75)))) | 'LE'(f(X_75), 0) |
% 0.21/0.50 'LE'(f(suc(X_75)), s(0))),
% 0.21/0.50 inference(subst, [], [refute_0_42 : [bind(X_74, $fot(X_75))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_44, plain,
% 0.21/0.50 ('E'(0, f(suc(X_75))) | 'E'(f(suc(X_75)), f(suc(suc(X_75)))) |
% 0.21/0.50 'LE'(f(X_75), 0) | 'LE'(f(suc(X_75)), s(0))),
% 0.21/0.50 inference(resolve, [$cnf('E'(s(0), f(suc(X_75))))],
% 0.21/0.50 [refute_0_36, refute_0_43])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_45, plain,
% 0.21/0.50 ('E'(0, f(suc(X_76))) | 'E'(f(suc(X_76)), f(suc(suc(X_76)))) |
% 0.21/0.50 'LE'(f(X_76), 0) | 'LE'(f(suc(X_76)), s(0))),
% 0.21/0.50 inference(subst, [], [refute_0_44 : [bind(X_75, $fot(X_76))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_46, plain,
% 0.21/0.50 (~ 'E'(s(0), f(suc(X_76))) | ~ iLEQ(suc(suc(X_76)), suc(suc(X_76))) |
% 0.21/0.50 'E'(0, f(suc(X_76))) | 'LE'(f(X_76), 0) | 'LE'(f(suc(X_76)), s(0))),
% 0.21/0.50 inference(resolve, [$cnf('E'(f(suc(X_76)), f(suc(suc(X_76)))))],
% 0.21/0.50 [refute_0_45, refute_0_35])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_47, plain,
% 0.21/0.50 (~ 'E'(s(0), f(suc(X_77))) | ~ iLEQ(suc(suc(X_77)), suc(suc(X_77))) |
% 0.21/0.50 'E'(0, f(suc(X_77))) | 'LE'(f(X_77), 0) | 'LE'(f(suc(X_77)), s(0))),
% 0.21/0.50 inference(subst, [], [refute_0_46 : [bind(X_76, $fot(X_77))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_48, plain,
% 0.21/0.50 (~ 'E'(s(0), f(suc(X_77))) | 'E'(0, f(suc(X_77))) | 'LE'(f(X_77), 0) |
% 0.21/0.50 'LE'(f(suc(X_77)), s(0))),
% 0.21/0.50 inference(resolve, [$cnf(iLEQ(suc(suc(X_77)), suc(suc(X_77))))],
% 0.21/0.50 [refute_0_28, refute_0_47])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_49, plain,
% 0.21/0.50 (~ 'E'(s(0), f(suc(X_78))) | 'E'(0, f(suc(X_78))) | 'LE'(f(X_78), 0) |
% 0.21/0.50 'LE'(f(suc(X_78)), s(0))),
% 0.21/0.50 inference(subst, [], [refute_0_48 : [bind(X_77, $fot(X_78))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_50, plain,
% 0.21/0.50 ('E'(0, f(suc(X_78))) | 'LE'(f(X_78), 0) | 'LE'(f(suc(X_78)), s(0))),
% 0.21/0.50 inference(resolve, [$cnf('E'(s(0), f(suc(X_78))))],
% 0.21/0.50 [refute_0_6, refute_0_49])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_51, plain,
% 0.21/0.50 ('E'(0, f(suc(X_79))) | 'LE'(f(X_79), 0) | 'LE'(f(suc(X_79)), s(0))),
% 0.21/0.50 inference(subst, [], [refute_0_50 : [bind(X_78, $fot(X_79))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_52, plain, ('E'(0, f(suc(X_79))) | 'LE'(f(X_79), 0)),
% 0.21/0.50 inference(resolve, [$cnf('LE'(f(suc(X_79)), s(0)))],
% 0.21/0.50 [refute_0_51, refute_0_0])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_53, plain, ('E'(0, f(suc(z))) | 'LE'(f(z), 0)),
% 0.21/0.50 inference(subst, [], [refute_0_52 : [bind(X_79, $fot(z))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_54, plain,
% 0.21/0.50 (~ 'LE'(f(suc(suc(X_113))), s(0)) | 'E'(0, f(suc(suc(X_113)))) |
% 0.21/0.50 'LE'(f(X_113), 0)),
% 0.21/0.50 inference(subst, [], [clause_51 : [bind(B_5, $fot(X_113))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_55, plain,
% 0.21/0.50 ('E'(s(0), f(suc(suc(X_8)))) | 'LE'(f(suc(suc(X_8))), s(0))),
% 0.21/0.50 inference(subst, [], [refute_0_2 : [bind(B_2, $fot(suc(suc(X_8))))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_56, plain,
% 0.21/0.50 (~ 'LE'(f(suc(suc(X_8))), s(0)) | 'E'(0, f(suc(suc(X_8)))) |
% 0.21/0.50 'LE'(f(X_8), 0)),
% 0.21/0.50 inference(subst, [], [clause_51 : [bind(B_5, $fot(X_8))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_57, plain,
% 0.21/0.50 ('E'(0, f(suc(suc(X_8)))) | 'E'(s(0), f(suc(suc(X_8)))) |
% 0.21/0.50 'LE'(f(X_8), 0)),
% 0.21/0.50 inference(resolve, [$cnf('LE'(f(suc(suc(X_8))), s(0)))],
% 0.21/0.50 [refute_0_55, refute_0_56])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_58, plain,
% 0.21/0.50 ('E'(0, f(suc(suc(X_112)))) | 'E'(s(0), f(suc(suc(X_112)))) |
% 0.21/0.50 'LE'(f(X_112), 0)),
% 0.21/0.50 inference(subst, [], [refute_0_57 : [bind(X_8, $fot(X_112))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_59, plain,
% 0.21/0.50 ('E'(0, f(suc(suc(X_107)))) | 'E'(s(0), f(suc(suc(X_107)))) |
% 0.21/0.50 'LE'(f(X_107), 0)),
% 0.21/0.50 inference(subst, [], [refute_0_57 : [bind(X_8, $fot(X_107))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_60, plain,
% 0.21/0.50 (~ 'E'(f(suc(suc(X_106))), f(suc(suc(suc(X_106))))) |
% 0.21/0.50 ~ 'E'(s(0), f(suc(suc(X_106)))) | 'LE'(f(suc(suc(X_106))), s(0)) |
% 0.21/0.50 iLEQ(suc(suc(suc(X_106))), suc(suc(suc(X_106))))),
% 0.21/0.50 inference(subst, [],
% 0.21/0.50 [refute_0_17 : [bind(X_24, $fot(suc(suc(X_106))))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_61, plain,
% 0.21/0.50 (~ 'E'(s(0), f(suc(suc(X_8)))) |
% 0.21/0.50 'E'(f(suc(suc(X_8))), f(suc(suc(suc(X_8))))) |
% 0.21/0.50 'LE'(f(suc(suc(X_8))), s(0)) |
% 0.21/0.50 iLEQ(suc(suc(suc(X_8))), suc(suc(suc(X_8))))),
% 0.21/0.50 inference(subst, [],
% 0.21/0.50 [refute_0_21 : [bind(X_11, $fot(suc(suc(X_8))))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_62, plain,
% 0.21/0.50 ('E'(0, f(suc(suc(X_8)))) |
% 0.21/0.50 'E'(f(suc(suc(X_8))), f(suc(suc(suc(X_8))))) | 'LE'(f(X_8), 0) |
% 0.21/0.50 'LE'(f(suc(suc(X_8))), s(0)) |
% 0.21/0.50 iLEQ(suc(suc(suc(X_8))), suc(suc(suc(X_8))))),
% 0.21/0.50 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_8)))))],
% 0.21/0.50 [refute_0_57, refute_0_61])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_63, plain,
% 0.21/0.50 ('E'(0, f(suc(suc(X_106)))) |
% 0.21/0.50 'E'(f(suc(suc(X_106))), f(suc(suc(suc(X_106))))) | 'LE'(f(X_106), 0) |
% 0.21/0.50 'LE'(f(suc(suc(X_106))), s(0)) |
% 0.21/0.50 iLEQ(suc(suc(suc(X_106))), suc(suc(suc(X_106))))),
% 0.21/0.50 inference(subst, [], [refute_0_62 : [bind(X_8, $fot(X_106))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_64, plain,
% 0.21/0.50 (~ 'E'(s(0), f(suc(suc(X_106)))) | 'E'(0, f(suc(suc(X_106)))) |
% 0.21/0.50 'LE'(f(X_106), 0) | 'LE'(f(suc(suc(X_106))), s(0)) |
% 0.21/0.50 iLEQ(suc(suc(suc(X_106))), suc(suc(suc(X_106))))),
% 0.21/0.50 inference(resolve,
% 0.21/0.50 [$cnf('E'(f(suc(suc(X_106))), f(suc(suc(suc(X_106))))))],
% 0.21/0.50 [refute_0_63, refute_0_60])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_65, plain,
% 0.21/0.50 (~ 'E'(s(0), f(suc(suc(X_107)))) | 'E'(0, f(suc(suc(X_107)))) |
% 0.21/0.50 'LE'(f(X_107), 0) | 'LE'(f(suc(suc(X_107))), s(0)) |
% 0.21/0.50 iLEQ(suc(suc(suc(X_107))), suc(suc(suc(X_107))))),
% 0.21/0.50 inference(subst, [], [refute_0_64 : [bind(X_106, $fot(X_107))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_66, plain,
% 0.21/0.50 ('E'(0, f(suc(suc(X_107)))) | 'LE'(f(X_107), 0) |
% 0.21/0.50 'LE'(f(suc(suc(X_107))), s(0)) |
% 0.21/0.50 iLEQ(suc(suc(suc(X_107))), suc(suc(suc(X_107))))),
% 0.21/0.50 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_107)))))],
% 0.21/0.50 [refute_0_59, refute_0_65])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_67, plain,
% 0.21/0.50 ('E'(0, f(suc(suc(X_111)))) | 'LE'(f(X_111), 0) |
% 0.21/0.50 'LE'(f(suc(suc(X_111))), s(0)) |
% 0.21/0.50 iLEQ(suc(suc(suc(X_111))), suc(suc(suc(X_111))))),
% 0.21/0.50 inference(subst, [], [refute_0_66 : [bind(X_107, $fot(X_111))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_68, plain,
% 0.21/0.50 (~ 'E'(f(suc(suc(X_110))), f(suc(suc(suc(X_110))))) |
% 0.21/0.50 ~ 'E'(s(0), f(suc(suc(X_110)))) |
% 0.21/0.50 ~ iLEQ(suc(suc(suc(X_110))), suc(suc(suc(X_110)))) |
% 0.21/0.50 'LE'(f(suc(suc(X_110))), s(0))),
% 0.21/0.50 inference(subst, [],
% 0.21/0.50 [refute_0_34 : [bind(X_31, $fot(suc(suc(X_110))))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_69, plain,
% 0.21/0.50 ('E'(0, f(suc(suc(X_109)))) | 'E'(s(0), f(suc(suc(X_109)))) |
% 0.21/0.50 'LE'(f(X_109), 0)),
% 0.21/0.50 inference(subst, [], [refute_0_57 : [bind(X_8, $fot(X_109))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_70, plain,
% 0.21/0.50 (~ 'E'(s(0), f(suc(suc(X_108)))) |
% 0.21/0.50 ~ iLEQ(suc(suc(suc(X_108))), suc(suc(suc(X_108)))) |
% 0.21/0.50 'E'(f(suc(suc(X_108))), f(suc(suc(suc(X_108))))) |
% 0.21/0.50 'LE'(f(suc(suc(X_108))), s(0))),
% 0.21/0.50 inference(subst, [],
% 0.21/0.50 [refute_0_39 : [bind(X_12, $fot(suc(suc(X_108))))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_71, plain,
% 0.21/0.50 ('E'(0, f(suc(suc(X_108)))) | 'LE'(f(X_108), 0) |
% 0.21/0.50 'LE'(f(suc(suc(X_108))), s(0)) |
% 0.21/0.50 iLEQ(suc(suc(suc(X_108))), suc(suc(suc(X_108))))),
% 0.21/0.50 inference(subst, [], [refute_0_66 : [bind(X_107, $fot(X_108))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_72, plain,
% 0.21/0.50 (~ 'E'(s(0), f(suc(suc(X_108)))) | 'E'(0, f(suc(suc(X_108)))) |
% 0.21/0.50 'E'(f(suc(suc(X_108))), f(suc(suc(suc(X_108))))) | 'LE'(f(X_108), 0) |
% 0.21/0.50 'LE'(f(suc(suc(X_108))), s(0))),
% 0.21/0.50 inference(resolve,
% 0.21/0.50 [$cnf(iLEQ(suc(suc(suc(X_108))), suc(suc(suc(X_108)))))],
% 0.21/0.50 [refute_0_71, refute_0_70])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_73, plain,
% 0.21/0.50 (~ 'E'(s(0), f(suc(suc(X_109)))) | 'E'(0, f(suc(suc(X_109)))) |
% 0.21/0.50 'E'(f(suc(suc(X_109))), f(suc(suc(suc(X_109))))) | 'LE'(f(X_109), 0) |
% 0.21/0.50 'LE'(f(suc(suc(X_109))), s(0))),
% 0.21/0.50 inference(subst, [], [refute_0_72 : [bind(X_108, $fot(X_109))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_74, plain,
% 0.21/0.50 ('E'(0, f(suc(suc(X_109)))) |
% 0.21/0.50 'E'(f(suc(suc(X_109))), f(suc(suc(suc(X_109))))) | 'LE'(f(X_109), 0) |
% 0.21/0.50 'LE'(f(suc(suc(X_109))), s(0))),
% 0.21/0.50 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_109)))))],
% 0.21/0.50 [refute_0_69, refute_0_73])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_75, plain,
% 0.21/0.50 ('E'(0, f(suc(suc(X_110)))) |
% 0.21/0.50 'E'(f(suc(suc(X_110))), f(suc(suc(suc(X_110))))) | 'LE'(f(X_110), 0) |
% 0.21/0.50 'LE'(f(suc(suc(X_110))), s(0))),
% 0.21/0.50 inference(subst, [], [refute_0_74 : [bind(X_109, $fot(X_110))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_76, plain,
% 0.21/0.50 (~ 'E'(s(0), f(suc(suc(X_110)))) |
% 0.21/0.50 ~ iLEQ(suc(suc(suc(X_110))), suc(suc(suc(X_110)))) |
% 0.21/0.50 'E'(0, f(suc(suc(X_110)))) | 'LE'(f(X_110), 0) |
% 0.21/0.50 'LE'(f(suc(suc(X_110))), s(0))),
% 0.21/0.50 inference(resolve,
% 0.21/0.50 [$cnf('E'(f(suc(suc(X_110))), f(suc(suc(suc(X_110))))))],
% 0.21/0.50 [refute_0_75, refute_0_68])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_77, plain,
% 0.21/0.50 (~ 'E'(s(0), f(suc(suc(X_111)))) |
% 0.21/0.50 ~ iLEQ(suc(suc(suc(X_111))), suc(suc(suc(X_111)))) |
% 0.21/0.50 'E'(0, f(suc(suc(X_111)))) | 'LE'(f(X_111), 0) |
% 0.21/0.50 'LE'(f(suc(suc(X_111))), s(0))),
% 0.21/0.50 inference(subst, [], [refute_0_76 : [bind(X_110, $fot(X_111))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_78, plain,
% 0.21/0.50 (~ 'E'(s(0), f(suc(suc(X_111)))) | 'E'(0, f(suc(suc(X_111)))) |
% 0.21/0.50 'LE'(f(X_111), 0) | 'LE'(f(suc(suc(X_111))), s(0))),
% 0.21/0.50 inference(resolve,
% 0.21/0.50 [$cnf(iLEQ(suc(suc(suc(X_111))), suc(suc(suc(X_111)))))],
% 0.21/0.50 [refute_0_67, refute_0_77])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_79, plain,
% 0.21/0.50 (~ 'E'(s(0), f(suc(suc(X_112)))) | 'E'(0, f(suc(suc(X_112)))) |
% 0.21/0.50 'LE'(f(X_112), 0) | 'LE'(f(suc(suc(X_112))), s(0))),
% 0.21/0.50 inference(subst, [], [refute_0_78 : [bind(X_111, $fot(X_112))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_80, plain,
% 0.21/0.50 ('E'(0, f(suc(suc(X_112)))) | 'LE'(f(X_112), 0) |
% 0.21/0.50 'LE'(f(suc(suc(X_112))), s(0))),
% 0.21/0.50 inference(resolve, [$cnf('E'(s(0), f(suc(suc(X_112)))))],
% 0.21/0.50 [refute_0_58, refute_0_79])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_81, plain,
% 0.21/0.50 ('E'(0, f(suc(suc(X_113)))) | 'LE'(f(X_113), 0) |
% 0.21/0.50 'LE'(f(suc(suc(X_113))), s(0))),
% 0.21/0.50 inference(subst, [], [refute_0_80 : [bind(X_112, $fot(X_113))]])).
% 0.21/0.50
% 0.21/0.50 cnf(refute_0_82, plain, ('E'(0, f(suc(suc(X_113)))) | 'LE'(f(X_113), 0)),
% 0.21/0.50 inference(resolve, [$cnf('LE'(f(suc(suc(X_113))), s(0)))],
% 0.21/0.50 [refute_0_81, refute_0_54])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_83, plain, ('E'(0, f(suc(suc(z)))) | 'LE'(f(z), 0)),
% 0.21/0.51 inference(subst, [], [refute_0_82 : [bind(X_113, $fot(z))]])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_84, plain,
% 0.21/0.51 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 0.21/0.51 ~ 'E'(f(z), f(suc(z))) | ~ iLEQ(suc(z), suc(z))),
% 0.21/0.51 inference(subst, [],
% 0.21/0.51 [clause_43 : [bind(A_2, $fot(z)), bind(B_6, $fot(z))]])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_85, plain,
% 0.21/0.51 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 0.21/0.51 ~ 'E'(f(z), f(suc(z))) | iLEQ(suc(z), suc(z))),
% 0.21/0.51 inference(subst, [], [clause_41 : [bind(A_2, $fot(z))]])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_86, plain,
% 0.21/0.51 (~ 'LE'(f(X_53), s(0)) | 'E'(0, f(X_53)) | 'LE'(f(X_53), 0)),
% 0.21/0.51 inference(subst, [], [clause_34 : [bind(B_5, $fot(X_53))]])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_87, plain, ('E'(s(0), f(X_4)) | 'LE'(f(X_4), s(0))),
% 0.21/0.51 inference(subst, [], [refute_0_2 : [bind(B_2, $fot(X_4))]])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_88, plain,
% 0.21/0.51 (~ 'LE'(f(X_4), s(0)) | 'E'(0, f(X_4)) | 'LE'(f(X_4), 0)),
% 0.21/0.51 inference(subst, [], [clause_34 : [bind(B_5, $fot(X_4))]])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_89, plain,
% 0.21/0.51 ('E'(0, f(X_4)) | 'E'(s(0), f(X_4)) | 'LE'(f(X_4), 0)),
% 0.21/0.51 inference(resolve, [$cnf('LE'(f(X_4), s(0)))],
% 0.21/0.51 [refute_0_87, refute_0_88])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_90, plain,
% 0.21/0.51 ('E'(0, f(X_52)) | 'E'(s(0), f(X_52)) | 'LE'(f(X_52), 0)),
% 0.21/0.51 inference(subst, [], [refute_0_89 : [bind(X_4, $fot(X_52))]])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_91, plain,
% 0.21/0.51 ('E'(0, f(X_47)) | 'E'(s(0), f(X_47)) | 'LE'(f(X_47), 0)),
% 0.21/0.51 inference(subst, [], [refute_0_89 : [bind(X_4, $fot(X_47))]])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_92, plain,
% 0.21/0.51 (~ 'E'(f(X_46), f(suc(X_46))) | ~ 'E'(s(0), f(X_46)) |
% 0.21/0.51 'LE'(f(X_46), s(0)) | iLEQ(suc(X_46), suc(X_46))),
% 0.21/0.51 inference(subst, [], [refute_0_17 : [bind(X_24, $fot(X_46))]])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_93, plain,
% 0.21/0.51 ('E'(0, f(X_15)) | 'E'(s(0), f(X_15)) | 'LE'(f(X_15), 0)),
% 0.21/0.51 inference(subst, [], [refute_0_89 : [bind(X_4, $fot(X_15))]])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_94, plain,
% 0.21/0.51 (~ 'E'(s(0), f(X_15)) | 'E'(f(X_15), f(suc(X_15))) |
% 0.21/0.51 'LE'(f(X_15), s(0)) | iLEQ(suc(X_15), suc(X_15))),
% 0.21/0.51 inference(subst, [], [refute_0_21 : [bind(X_11, $fot(X_15))]])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_95, plain,
% 0.21/0.51 ('E'(0, f(X_15)) | 'E'(f(X_15), f(suc(X_15))) | 'LE'(f(X_15), 0) |
% 0.21/0.51 'LE'(f(X_15), s(0)) | iLEQ(suc(X_15), suc(X_15))),
% 0.21/0.51 inference(resolve, [$cnf('E'(s(0), f(X_15)))],
% 0.21/0.51 [refute_0_93, refute_0_94])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_96, plain,
% 0.21/0.51 ('E'(0, f(X_46)) | 'E'(f(X_46), f(suc(X_46))) | 'LE'(f(X_46), 0) |
% 0.21/0.51 'LE'(f(X_46), s(0)) | iLEQ(suc(X_46), suc(X_46))),
% 0.21/0.51 inference(subst, [], [refute_0_95 : [bind(X_15, $fot(X_46))]])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_97, plain,
% 0.21/0.51 (~ 'E'(s(0), f(X_46)) | 'E'(0, f(X_46)) | 'LE'(f(X_46), 0) |
% 0.21/0.51 'LE'(f(X_46), s(0)) | iLEQ(suc(X_46), suc(X_46))),
% 0.21/0.51 inference(resolve, [$cnf('E'(f(X_46), f(suc(X_46))))],
% 0.21/0.51 [refute_0_96, refute_0_92])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_98, plain,
% 0.21/0.51 (~ 'E'(s(0), f(X_47)) | 'E'(0, f(X_47)) | 'LE'(f(X_47), 0) |
% 0.21/0.51 'LE'(f(X_47), s(0)) | iLEQ(suc(X_47), suc(X_47))),
% 0.21/0.51 inference(subst, [], [refute_0_97 : [bind(X_46, $fot(X_47))]])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_99, plain,
% 0.21/0.51 ('E'(0, f(X_47)) | 'LE'(f(X_47), 0) | 'LE'(f(X_47), s(0)) |
% 0.21/0.51 iLEQ(suc(X_47), suc(X_47))),
% 0.21/0.51 inference(resolve, [$cnf('E'(s(0), f(X_47)))],
% 0.21/0.51 [refute_0_91, refute_0_98])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_100, plain,
% 0.21/0.51 ('E'(0, f(X_51)) | 'LE'(f(X_51), 0) | 'LE'(f(X_51), s(0)) |
% 0.21/0.51 iLEQ(suc(X_51), suc(X_51))),
% 0.21/0.51 inference(subst, [], [refute_0_99 : [bind(X_47, $fot(X_51))]])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_101, plain,
% 0.21/0.51 (~ 'E'(f(X_50), f(suc(X_50))) | ~ 'E'(s(0), f(X_50)) |
% 0.21/0.51 ~ iLEQ(suc(X_50), suc(X_50)) | 'LE'(f(X_50), s(0))),
% 0.21/0.51 inference(subst, [], [refute_0_34 : [bind(X_31, $fot(X_50))]])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_102, plain,
% 0.21/0.51 ('E'(0, f(X_49)) | 'E'(s(0), f(X_49)) | 'LE'(f(X_49), 0)),
% 0.21/0.51 inference(subst, [], [refute_0_89 : [bind(X_4, $fot(X_49))]])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_103, plain,
% 0.21/0.51 (~ 'E'(s(0), f(X_48)) | ~ iLEQ(suc(X_48), suc(X_48)) |
% 0.21/0.51 'E'(f(X_48), f(suc(X_48))) | 'LE'(f(X_48), s(0))),
% 0.21/0.51 inference(subst, [], [refute_0_39 : [bind(X_12, $fot(X_48))]])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_104, plain,
% 0.21/0.51 ('E'(0, f(X_48)) | 'LE'(f(X_48), 0) | 'LE'(f(X_48), s(0)) |
% 0.21/0.51 iLEQ(suc(X_48), suc(X_48))),
% 0.21/0.51 inference(subst, [], [refute_0_99 : [bind(X_47, $fot(X_48))]])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_105, plain,
% 0.21/0.51 (~ 'E'(s(0), f(X_48)) | 'E'(0, f(X_48)) | 'E'(f(X_48), f(suc(X_48))) |
% 0.21/0.51 'LE'(f(X_48), 0) | 'LE'(f(X_48), s(0))),
% 0.21/0.51 inference(resolve, [$cnf(iLEQ(suc(X_48), suc(X_48)))],
% 0.21/0.51 [refute_0_104, refute_0_103])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_106, plain,
% 0.21/0.51 (~ 'E'(s(0), f(X_49)) | 'E'(0, f(X_49)) | 'E'(f(X_49), f(suc(X_49))) |
% 0.21/0.51 'LE'(f(X_49), 0) | 'LE'(f(X_49), s(0))),
% 0.21/0.51 inference(subst, [], [refute_0_105 : [bind(X_48, $fot(X_49))]])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_107, plain,
% 0.21/0.51 ('E'(0, f(X_49)) | 'E'(f(X_49), f(suc(X_49))) | 'LE'(f(X_49), 0) |
% 0.21/0.51 'LE'(f(X_49), s(0))),
% 0.21/0.51 inference(resolve, [$cnf('E'(s(0), f(X_49)))],
% 0.21/0.51 [refute_0_102, refute_0_106])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_108, plain,
% 0.21/0.51 ('E'(0, f(X_50)) | 'E'(f(X_50), f(suc(X_50))) | 'LE'(f(X_50), 0) |
% 0.21/0.51 'LE'(f(X_50), s(0))),
% 0.21/0.51 inference(subst, [], [refute_0_107 : [bind(X_49, $fot(X_50))]])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_109, plain,
% 0.21/0.51 (~ 'E'(s(0), f(X_50)) | ~ iLEQ(suc(X_50), suc(X_50)) |
% 0.21/0.51 'E'(0, f(X_50)) | 'LE'(f(X_50), 0) | 'LE'(f(X_50), s(0))),
% 0.21/0.51 inference(resolve, [$cnf('E'(f(X_50), f(suc(X_50))))],
% 0.21/0.51 [refute_0_108, refute_0_101])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_110, plain,
% 0.21/0.51 (~ 'E'(s(0), f(X_51)) | ~ iLEQ(suc(X_51), suc(X_51)) |
% 0.21/0.51 'E'(0, f(X_51)) | 'LE'(f(X_51), 0) | 'LE'(f(X_51), s(0))),
% 0.21/0.51 inference(subst, [], [refute_0_109 : [bind(X_50, $fot(X_51))]])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_111, plain,
% 0.21/0.51 (~ 'E'(s(0), f(X_51)) | 'E'(0, f(X_51)) | 'LE'(f(X_51), 0) |
% 0.21/0.51 'LE'(f(X_51), s(0))),
% 0.21/0.51 inference(resolve, [$cnf(iLEQ(suc(X_51), suc(X_51)))],
% 0.21/0.51 [refute_0_100, refute_0_110])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_112, plain,
% 0.21/0.51 (~ 'E'(s(0), f(X_52)) | 'E'(0, f(X_52)) | 'LE'(f(X_52), 0) |
% 0.21/0.51 'LE'(f(X_52), s(0))),
% 0.21/0.51 inference(subst, [], [refute_0_111 : [bind(X_51, $fot(X_52))]])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_113, plain,
% 0.21/0.51 ('E'(0, f(X_52)) | 'LE'(f(X_52), 0) | 'LE'(f(X_52), s(0))),
% 0.21/0.51 inference(resolve, [$cnf('E'(s(0), f(X_52)))],
% 0.21/0.51 [refute_0_90, refute_0_112])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_114, plain,
% 0.21/0.51 ('E'(0, f(X_53)) | 'LE'(f(X_53), 0) | 'LE'(f(X_53), s(0))),
% 0.21/0.51 inference(subst, [], [refute_0_113 : [bind(X_52, $fot(X_53))]])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_115, plain, ('E'(0, f(X_53)) | 'LE'(f(X_53), 0)),
% 0.21/0.51 inference(resolve, [$cnf('LE'(f(X_53), s(0)))],
% 0.21/0.51 [refute_0_114, refute_0_86])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_116, plain, ('E'(0, f(z)) | 'LE'(f(z), 0)),
% 0.21/0.51 inference(subst, [], [refute_0_115 : [bind(X_53, $fot(z))]])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_117, plain, ('E'(0, f(z))),
% 0.21/0.51 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_116, clause_24])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_118, plain,
% 0.21/0.51 (~ 'E'(0, f(X_80)) | ~ 'E'(0, f(suc(X_80))) |
% 0.21/0.51 'E'(f(X_80), f(suc(X_80))) | iLEQ(suc(X_80), suc(X_80))),
% 0.21/0.51 inference(subst, [], [clause_26 : [bind(A_2, $fot(X_80))]])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_119, plain, ('E'(0, f(suc(X_80))) | 'LE'(f(X_80), 0)),
% 0.21/0.51 inference(subst, [], [refute_0_52 : [bind(X_79, $fot(X_80))]])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_120, plain,
% 0.21/0.51 (~ 'E'(0, f(X_80)) | 'E'(f(X_80), f(suc(X_80))) | 'LE'(f(X_80), 0) |
% 0.21/0.51 iLEQ(suc(X_80), suc(X_80))),
% 0.21/0.51 inference(resolve, [$cnf('E'(0, f(suc(X_80))))],
% 0.21/0.51 [refute_0_119, refute_0_118])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_121, plain,
% 0.21/0.51 (~ 'E'(0, f(z)) | 'E'(f(z), f(suc(z))) | 'LE'(f(z), 0) |
% 0.21/0.51 iLEQ(suc(z), suc(z))),
% 0.21/0.51 inference(subst, [], [refute_0_120 : [bind(X_80, $fot(z))]])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_122, plain,
% 0.21/0.51 ('E'(f(z), f(suc(z))) | 'LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 0.21/0.51 inference(resolve, [$cnf('E'(0, f(z)))],
% 0.21/0.51 [refute_0_117, refute_0_121])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_123, plain, ('E'(f(z), f(suc(z))) | iLEQ(suc(z), suc(z))),
% 0.21/0.51 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_122, clause_24])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_124, plain,
% 0.21/0.51 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 0.21/0.51 iLEQ(suc(z), suc(z))),
% 0.21/0.51 inference(resolve, [$cnf('E'(f(z), f(suc(z))))],
% 0.21/0.51 [refute_0_123, refute_0_85])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_125, plain,
% 0.21/0.51 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) |
% 0.21/0.51 iLEQ(suc(z), suc(z))),
% 0.21/0.51 inference(resolve, [$cnf('E'(0, f(z)))],
% 0.21/0.51 [refute_0_117, refute_0_124])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_126, plain,
% 0.21/0.51 (~ 'E'(0, f(suc(z))) | 'LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 0.21/0.51 inference(resolve, [$cnf('E'(0, f(suc(suc(z)))))],
% 0.21/0.51 [refute_0_83, refute_0_125])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_127, plain, (~ 'E'(0, f(suc(z))) | iLEQ(suc(z), suc(z))),
% 0.21/0.51 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_126, clause_24])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_128, plain, ('LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 0.21/0.51 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 0.21/0.51 [refute_0_53, refute_0_127])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_129, plain, (iLEQ(suc(z), suc(z))),
% 0.21/0.51 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_128, clause_24])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_130, plain,
% 0.21/0.51 (~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) | ~ iLEQ(suc(z), suc(z)) |
% 0.21/0.51 'E'(f(z), f(suc(z)))),
% 0.21/0.51 inference(subst, [],
% 0.21/0.51 [clause_10 : [bind(A_2, $fot(z)), bind(B_6, $fot(z))]])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_131, plain,
% 0.21/0.51 (~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) | 'E'(f(z), f(suc(z)))),
% 0.21/0.51 inference(resolve, [$cnf(iLEQ(suc(z), suc(z)))],
% 0.21/0.51 [refute_0_129, refute_0_130])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_132, plain, (~ 'E'(0, f(suc(z))) | 'E'(f(z), f(suc(z)))),
% 0.21/0.51 inference(resolve, [$cnf('E'(0, f(z)))],
% 0.21/0.51 [refute_0_117, refute_0_131])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_133, plain, ('E'(f(z), f(suc(z))) | 'LE'(f(z), 0)),
% 0.21/0.51 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 0.21/0.51 [refute_0_53, refute_0_132])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_134, plain, ('E'(f(z), f(suc(z)))),
% 0.21/0.51 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_133, clause_24])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_135, plain,
% 0.21/0.51 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 0.21/0.51 ~ iLEQ(suc(z), suc(z))),
% 0.21/0.51 inference(resolve, [$cnf('E'(f(z), f(suc(z))))],
% 0.21/0.51 [refute_0_134, refute_0_84])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_136, plain,
% 0.21/0.51 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) |
% 0.21/0.51 ~ iLEQ(suc(z), suc(z))),
% 0.21/0.51 inference(resolve, [$cnf('E'(0, f(z)))],
% 0.21/0.51 [refute_0_117, refute_0_135])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_137, plain, (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z)))),
% 0.21/0.51 inference(resolve, [$cnf(iLEQ(suc(z), suc(z)))],
% 0.21/0.51 [refute_0_129, refute_0_136])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_138, plain, (~ 'E'(0, f(suc(z))) | 'LE'(f(z), 0)),
% 0.21/0.51 inference(resolve, [$cnf('E'(0, f(suc(suc(z)))))],
% 0.21/0.51 [refute_0_83, refute_0_137])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_139, plain, (~ 'E'(0, f(suc(z)))),
% 0.21/0.51 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_138, clause_24])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_140, plain, ('LE'(f(z), 0)),
% 0.21/0.51 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 0.21/0.51 [refute_0_53, refute_0_139])).
% 0.21/0.51
% 0.21/0.51 cnf(refute_0_141, plain, ($false),
% 0.21/0.51 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_140, clause_24])).
% 0.21/0.51 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.51
%------------------------------------------------------------------------------