TSTP Solution File: SYO689-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYO689-1 : TPTP v8.1.0. Released v7.3.0.
% 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 18:40:54 EDT 2022
% Result : Unsatisfiable 0.38s 0.57s
% Output : CNFRefutation 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYO689-1 : TPTP v8.1.0. Released v7.3.0.
% 0.06/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 8 21:31:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.38/0.57 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.57
% 0.38/0.57 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.58 cnf(clause_1581, axiom,
% 0.38/0.58 (~ 'E'(s(s(s(s(0)))), f(A_1)) | ~ 'E'(s(s(s(s(0)))), f(suc(A_1))) |
% 0.38/0.58 iLEQ(suc(A_1), suc(A_1)))).
% 0.38/0.58
% 0.38/0.58 cnf(clause_1218, axiom,
% 0.38/0.58 (~ 'E'(s(s(0)), f(A_3)) | ~ 'E'(s(s(0)), f(suc(A_3))) |
% 0.38/0.58 iLEQ(suc(A_3), suc(A_3)))).
% 0.38/0.58
% 0.38/0.58 cnf(clause_327, axiom,
% 0.38/0.58 (~ 'E'(s(0), f(suc(B_1137))) | ~ 'E'(s(0), f(B_1140)) |
% 0.38/0.58 ~ 'E'(s(0), f(suc(B_1139))) | ~ iLEQ(suc(B_1138), suc(B_1139)) |
% 0.38/0.58 ~ 'E'(s(0), f(B_1141)) | ~ 'E'(s(0), f(B_1137)) |
% 0.38/0.58 ~ 'E'(s(0), f(suc(B_1138))) | ~ iLEQ(suc(B_1137), suc(B_1138)) |
% 0.38/0.58 ~ iLEQ(suc(A_4), suc(B_1137)) | ~ iLEQ(suc(B_1139), suc(B_1140)) |
% 0.38/0.58 ~ 'E'(s(0), f(suc(B_1140))) | ~ iLEQ(suc(B_1140), suc(B_1141)) |
% 0.38/0.58 ~ 'E'(s(0), f(suc(A_4))) | ~ 'E'(s(0), f(suc(B_1141))) |
% 0.38/0.58 ~ 'E'(s(0), f(B_1139)) | ~ 'E'(s(0), f(A_4)) |
% 0.38/0.58 ~ 'E'(s(0), f(B_1138)))).
% 0.38/0.58
% 0.38/0.58 cnf(clause_583, axiom, ('LE'(f(A), s(s(s(s(s(0)))))))).
% 0.38/0.58
% 0.38/0.58 cnf(clause_740, axiom,
% 0.38/0.58 (~ 'LE'(f(B_1136), s(s(0))) | 'E'(s(0), f(B_1136)) |
% 0.38/0.58 'LE'(f(B_1136), s(0)))).
% 0.38/0.58
% 0.38/0.58 cnf(clause_388, axiom,
% 0.38/0.58 (~ 'LE'(f(suc(B_1066)), s(s(s(0)))) | 'E'(s(s(0)), f(suc(B_1066))) |
% 0.38/0.58 'LE'(f(B_1066), s(s(0))))).
% 0.38/0.58
% 0.38/0.58 cnf(clause_657, axiom,
% 0.38/0.58 (~ 'E'(s(s(s(0))), f(B_907)) | ~ 'E'(s(s(s(0))), f(suc(A_2))) |
% 0.38/0.58 ~ 'E'(s(s(s(0))), f(B_911)) | ~ 'E'(s(s(s(0))), f(B_910)) |
% 0.38/0.58 ~ iLEQ(suc(B_909), suc(B_910)) | ~ 'E'(s(s(s(0))), f(A_2)) |
% 0.38/0.58 ~ 'E'(s(s(s(0))), f(suc(B_910))) | ~ 'E'(s(s(s(0))), f(B_908)) |
% 0.38/0.58 ~ iLEQ(suc(A_2), suc(B_907)) | ~ iLEQ(suc(B_908), suc(B_909)) |
% 0.38/0.58 ~ 'E'(s(s(s(0))), f(suc(B_908))) | ~ 'E'(s(s(s(0))), f(B_909)) |
% 0.38/0.58 ~ 'E'(s(s(s(0))), f(suc(B_911))) | ~ 'E'(s(s(s(0))), f(suc(B_907))) |
% 0.38/0.58 ~ iLEQ(suc(B_910), suc(B_911)) | ~ iLEQ(suc(B_907), suc(B_908)) |
% 0.38/0.58 ~ 'E'(s(s(s(0))), f(suc(B_909))))).
% 0.38/0.58
% 0.38/0.58 cnf(clause_328, axiom,
% 0.38/0.58 (~ 'LE'(f(B_1161), s(0)) | 'E'(0, f(B_1161)) | 'LE'(f(B_1161), 0))).
% 0.38/0.58
% 0.38/0.58 cnf(clause_1314, axiom,
% 0.38/0.58 (~ 'LE'(f(B_1066), s(s(s(0)))) | 'E'(s(s(0)), f(B_1066)) |
% 0.38/0.58 'LE'(f(B_1066), s(s(0))))).
% 0.38/0.58
% 0.38/0.58 cnf(clause_2293, axiom,
% 0.38/0.58 (~ 'E'(0, f(A_5)) | ~ 'E'(0, f(suc(A_5))) | iLEQ(suc(A_5), suc(A_5)))).
% 0.38/0.58
% 0.38/0.58 cnf(clause_1092, axiom, (~ 'LE'(f(z), 0))).
% 0.38/0.58
% 0.38/0.58 cnf(clause_1230, axiom,
% 0.38/0.58 (~ 'LE'(f(B_906), s(s(s(s(0))))) | 'E'(s(s(s(0))), f(B_906)) |
% 0.38/0.58 'LE'(f(B_906), s(s(s(0)))))).
% 0.38/0.58
% 0.38/0.58 cnf(clause_421, axiom,
% 0.38/0.58 (~ 'E'(0, f(B_1165)) | ~ iLEQ(suc(B_1162), suc(B_1163)) |
% 0.38/0.58 ~ 'E'(0, f(suc(B_1163))) | ~ iLEQ(suc(A_5), suc(B_1162)) |
% 0.38/0.58 ~ 'E'(0, f(A_5)) | ~ 'E'(0, f(B_1162)) | ~ 'E'(0, f(B_1164)) |
% 0.38/0.58 ~ 'E'(0, f(suc(A_5))) | ~ 'E'(0, f(suc(B_1166))) |
% 0.38/0.58 ~ 'E'(0, f(B_1166)) | ~ iLEQ(suc(B_1165), suc(B_1166)) |
% 0.38/0.58 ~ iLEQ(suc(B_1163), suc(B_1164)) | ~ 'E'(0, f(suc(B_1165))) |
% 0.38/0.58 ~ 'E'(0, f(suc(B_1164))) | ~ 'E'(0, f(suc(B_1162))) |
% 0.38/0.58 ~ iLEQ(suc(B_1164), suc(B_1165)) | ~ 'E'(0, f(B_1163)))).
% 0.38/0.58
% 0.38/0.58 cnf(clause_1514, axiom,
% 0.38/0.58 (~ 'E'(s(s(s(s(0)))), f(B_588)) | ~ 'E'(s(s(s(s(0)))), f(suc(B_588))) |
% 0.38/0.58 ~ iLEQ(suc(B_586), suc(B_587)) | ~ iLEQ(suc(B_588), suc(B_589)) |
% 0.38/0.58 ~ 'E'(s(s(s(s(0)))), f(suc(B_587))) | ~ 'E'(s(s(s(s(0)))), f(B_589)) |
% 0.38/0.58 ~ 'E'(s(s(s(s(0)))), f(B_590)) | ~ iLEQ(suc(B_587), suc(B_588)) |
% 0.38/0.58 ~ 'E'(s(s(s(s(0)))), f(B_586)) | ~ iLEQ(suc(B_589), suc(B_590)) |
% 0.38/0.58 ~ 'E'(s(s(s(s(0)))), f(suc(B_590))) |
% 0.38/0.58 ~ 'E'(s(s(s(s(0)))), f(suc(A_1))) | ~ iLEQ(suc(A_1), suc(B_586)) |
% 0.38/0.58 ~ 'E'(s(s(s(s(0)))), f(suc(B_586))) | ~ 'E'(s(s(s(s(0)))), f(A_1)) |
% 0.38/0.58 ~ 'E'(s(s(s(s(0)))), f(suc(B_589))) |
% 0.38/0.58 ~ 'E'(s(s(s(s(0)))), f(B_587)))).
% 0.38/0.58
% 0.38/0.58 cnf(clause_1329, axiom,
% 0.38/0.58 (~ 'E'(s(0), f(A_4)) | ~ 'E'(s(0), f(suc(A_4))) |
% 0.38/0.58 iLEQ(suc(A_4), suc(A_4)))).
% 0.38/0.58
% 0.38/0.58 cnf(clause_1935, axiom,
% 0.38/0.58 (~ 'LE'(f(suc(B_906)), s(s(s(s(0))))) |
% 0.38/0.58 'E'(s(s(s(0))), f(suc(B_906))) | 'LE'(f(B_906), s(s(s(0)))))).
% 0.38/0.58
% 0.38/0.58 cnf(clause_2115, axiom,
% 0.38/0.58 (~ 'LE'(f(B_585), s(s(s(s(s(0)))))) | 'E'(s(s(s(s(0)))), f(B_585)) |
% 0.38/0.58 'LE'(f(B_585), s(s(s(s(0))))))).
% 0.38/0.58
% 0.38/0.58 cnf(clause_2227, axiom,
% 0.38/0.58 (~ 'E'(s(s(s(0))), f(A_2)) | ~ 'E'(s(s(s(0))), f(suc(A_2))) |
% 0.38/0.58 iLEQ(suc(A_2), suc(A_2)))).
% 0.38/0.58
% 0.38/0.58 cnf(clause_1440, axiom,
% 0.38/0.58 (~ 'LE'(f(suc(B_1136)), s(s(0))) | 'E'(s(0), f(suc(B_1136))) |
% 0.38/0.58 'LE'(f(B_1136), s(0)))).
% 0.38/0.58
% 0.38/0.58 cnf(clause_2050, axiom,
% 0.38/0.58 (~ 'LE'(f(suc(B_585)), s(s(s(s(s(0)))))) |
% 0.38/0.58 'E'(s(s(s(s(0)))), f(suc(B_585))) | 'LE'(f(B_585), s(s(s(s(0))))))).
% 0.38/0.58
% 0.38/0.58 cnf(clause_1712, axiom,
% 0.38/0.58 (~ 'E'(s(s(0)), f(B_1069)) | ~ 'E'(s(s(0)), f(suc(B_1067))) |
% 0.38/0.58 ~ 'E'(s(s(0)), f(B_1070)) | ~ 'E'(s(s(0)), f(B_1068)) |
% 0.38/0.58 ~ 'E'(s(s(0)), f(suc(B_1068))) | ~ iLEQ(suc(B_1067), suc(B_1068)) |
% 0.38/0.58 ~ 'E'(s(s(0)), f(suc(A_3))) | ~ 'E'(s(s(0)), f(B_1067)) |
% 0.38/0.58 ~ iLEQ(suc(B_1068), suc(B_1069)) | ~ 'E'(s(s(0)), f(B_1071)) |
% 0.38/0.58 ~ iLEQ(suc(A_3), suc(B_1067)) | ~ 'E'(s(s(0)), f(suc(B_1069))) |
% 0.38/0.58 ~ iLEQ(suc(B_1069), suc(B_1070)) | ~ 'E'(s(s(0)), f(suc(B_1071))) |
% 0.38/0.58 ~ 'E'(s(s(0)), f(suc(B_1070))) | ~ 'E'(s(s(0)), f(A_3)) |
% 0.38/0.58 ~ iLEQ(suc(B_1070), suc(B_1071)))).
% 0.38/0.58
% 0.38/0.58 cnf(clause_113, axiom,
% 0.38/0.58 (~ 'LE'(f(suc(B_1161)), s(0)) | 'E'(0, f(suc(B_1161))) |
% 0.38/0.58 'LE'(f(B_1161), 0))).
% 0.38/0.58
% 0.38/0.58 cnf(refute_0_0, plain,
% 0.38/0.58 (~ 'LE'(f(suc(X_137)), s(0)) | 'E'(0, f(suc(X_137))) |
% 0.38/0.58 'LE'(f(X_137), 0)),
% 0.38/0.58 inference(subst, [], [clause_113 : [bind(B_1161, $fot(X_137))]])).
% 0.38/0.58
% 0.38/0.58 cnf(refute_0_1, plain,
% 0.38/0.58 (~ 'LE'(f(X_98), s(s(0))) | 'E'(s(0), f(X_98)) | 'LE'(f(X_98), s(0))),
% 0.38/0.58 inference(subst, [], [clause_740 : [bind(B_1136, $fot(X_98))]])).
% 0.38/0.58
% 0.38/0.58 cnf(refute_0_2, plain,
% 0.38/0.58 (~ 'LE'(f(X_68), s(s(0))) | 'E'(s(0), f(X_68)) | 'LE'(f(X_68), s(0))),
% 0.38/0.58 inference(subst, [], [clause_740 : [bind(B_1136, $fot(X_68))]])).
% 0.38/0.58
% 0.38/0.58 cnf(refute_0_3, plain,
% 0.38/0.58 (~ 'LE'(f(X_67), s(s(s(0)))) | 'E'(s(s(0)), f(X_67)) |
% 0.38/0.58 'LE'(f(X_67), s(s(0)))),
% 0.38/0.58 inference(subst, [], [clause_1314 : [bind(B_1066, $fot(X_67))]])).
% 0.38/0.58
% 0.38/0.58 cnf(refute_0_4, plain,
% 0.38/0.58 (~ 'LE'(f(X_64), s(s(s(0)))) | 'E'(s(s(0)), f(X_64)) |
% 0.38/0.58 'LE'(f(X_64), s(s(0)))),
% 0.38/0.58 inference(subst, [], [clause_1314 : [bind(B_1066, $fot(X_64))]])).
% 0.38/0.58
% 0.38/0.58 cnf(refute_0_5, plain,
% 0.38/0.58 (~ 'LE'(f(X_42), s(s(s(0)))) | 'E'(s(s(0)), f(X_42)) |
% 0.38/0.58 'LE'(f(X_42), s(s(0)))),
% 0.38/0.58 inference(subst, [], [clause_1314 : [bind(B_1066, $fot(X_42))]])).
% 0.38/0.58
% 0.38/0.58 cnf(refute_0_6, plain,
% 0.38/0.58 (~ 'LE'(f(X_41), s(s(s(s(0))))) | 'E'(s(s(s(0))), f(X_41)) |
% 0.38/0.58 'LE'(f(X_41), s(s(s(0))))),
% 0.38/0.58 inference(subst, [], [clause_1230 : [bind(B_906, $fot(X_41))]])).
% 0.38/0.58
% 0.38/0.58 cnf(refute_0_7, plain,
% 0.38/0.58 (~ 'LE'(f(X_35), s(s(s(s(0))))) | 'E'(s(s(s(0))), f(X_35)) |
% 0.38/0.58 'LE'(f(X_35), s(s(s(0))))),
% 0.38/0.58 inference(subst, [], [clause_1230 : [bind(B_906, $fot(X_35))]])).
% 0.38/0.58
% 0.38/0.58 cnf(refute_0_8, plain, ('LE'(f(B_585), s(s(s(s(s(0))))))),
% 0.38/0.58 inference(subst, [], [clause_583 : [bind(A, $fot(B_585))]])).
% 0.38/0.58
% 0.38/0.58 cnf(refute_0_9, plain,
% 0.38/0.58 ('E'(s(s(s(s(0)))), f(B_585)) | 'LE'(f(B_585), s(s(s(s(0)))))),
% 0.38/0.58 inference(resolve, [$cnf('LE'(f(B_585), s(s(s(s(s(0)))))))],
% 0.38/0.58 [refute_0_8, clause_2115])).
% 0.38/0.58
% 0.38/0.58 cnf(refute_0_10, plain,
% 0.38/0.58 ('E'(s(s(s(s(0)))), f(X_11)) | 'LE'(f(X_11), s(s(s(s(0)))))),
% 0.38/0.58 inference(subst, [], [refute_0_9 : [bind(B_585, $fot(X_11))]])).
% 0.38/0.58
% 0.38/0.58 cnf(refute_0_11, plain,
% 0.38/0.58 (~ 'LE'(f(X_11), s(s(s(s(0))))) | 'E'(s(s(s(0))), f(X_11)) |
% 0.38/0.58 'LE'(f(X_11), s(s(s(0))))),
% 0.38/0.58 inference(subst, [], [clause_1230 : [bind(B_906, $fot(X_11))]])).
% 0.38/0.58
% 0.38/0.58 cnf(refute_0_12, plain,
% 0.38/0.58 ('E'(s(s(s(0))), f(X_11)) | 'E'(s(s(s(s(0)))), f(X_11)) |
% 0.38/0.58 'LE'(f(X_11), s(s(s(0))))),
% 0.38/0.58 inference(resolve, [$cnf('LE'(f(X_11), s(s(s(s(0))))))],
% 0.38/0.58 [refute_0_10, refute_0_11])).
% 0.38/0.58
% 0.38/0.58 cnf(refute_0_13, plain,
% 0.38/0.58 ('E'(s(s(s(0))), f(X_24)) | 'E'(s(s(s(s(0)))), f(X_24)) |
% 0.38/0.58 'LE'(f(X_24), s(s(s(0))))),
% 0.38/0.58 inference(subst, [], [refute_0_12 : [bind(X_11, $fot(X_24))]])).
% 0.38/0.58
% 0.38/0.58 cnf(refute_0_14, plain, ('LE'(f(suc(B_585)), s(s(s(s(s(0))))))),
% 0.38/0.58 inference(subst, [], [clause_583 : [bind(A, $fot(suc(B_585)))]])).
% 0.38/0.58
% 0.38/0.58 cnf(refute_0_15, plain,
% 0.38/0.58 ('E'(s(s(s(s(0)))), f(suc(B_585))) | 'LE'(f(B_585), s(s(s(s(0)))))),
% 0.38/0.58 inference(resolve, [$cnf('LE'(f(suc(B_585)), s(s(s(s(s(0)))))))],
% 0.38/0.58 [refute_0_14, clause_2050])).
% 0.38/0.58
% 0.38/0.58 cnf(refute_0_16, plain,
% 0.38/0.58 ('E'(s(s(s(s(0)))), f(suc(X_22))) | 'LE'(f(X_22), s(s(s(s(0)))))),
% 0.38/0.58 inference(subst, [], [refute_0_15 : [bind(B_585, $fot(X_22))]])).
% 0.38/0.58
% 0.38/0.58 cnf(refute_0_17, plain,
% 0.38/0.58 (~ 'E'(s(s(s(s(0)))), f(X_22)) | ~ 'E'(s(s(s(s(0)))), f(suc(X_22))) |
% 0.38/0.58 iLEQ(suc(X_22), suc(X_22))),
% 0.38/0.58 inference(subst, [], [clause_1581 : [bind(A_1, $fot(X_22))]])).
% 0.38/0.58
% 0.38/0.58 cnf(refute_0_18, plain,
% 0.38/0.58 (~ 'E'(s(s(s(s(0)))), f(X_22)) | 'LE'(f(X_22), s(s(s(s(0))))) |
% 0.38/0.58 iLEQ(suc(X_22), suc(X_22))),
% 0.38/0.58 inference(resolve, [$cnf('E'(s(s(s(s(0)))), f(suc(X_22))))],
% 0.38/0.58 [refute_0_16, refute_0_17])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_19, plain,
% 0.38/0.59 (~ 'E'(s(s(s(s(0)))), f(X_24)) | 'LE'(f(X_24), s(s(s(s(0))))) |
% 0.38/0.59 iLEQ(suc(X_24), suc(X_24))),
% 0.38/0.59 inference(subst, [], [refute_0_18 : [bind(X_22, $fot(X_24))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_20, plain,
% 0.38/0.59 ('E'(s(s(s(0))), f(X_24)) | 'LE'(f(X_24), s(s(s(0)))) |
% 0.38/0.59 'LE'(f(X_24), s(s(s(s(0))))) | iLEQ(suc(X_24), suc(X_24))),
% 0.38/0.59 inference(resolve, [$cnf('E'(s(s(s(s(0)))), f(X_24)))],
% 0.38/0.59 [refute_0_13, refute_0_19])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_21, plain,
% 0.38/0.59 ('E'(s(s(s(0))), f(X_35)) | 'LE'(f(X_35), s(s(s(0)))) |
% 0.38/0.59 'LE'(f(X_35), s(s(s(s(0))))) | iLEQ(suc(X_35), suc(X_35))),
% 0.38/0.59 inference(subst, [], [refute_0_20 : [bind(X_24, $fot(X_35))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_22, plain,
% 0.38/0.59 ('E'(s(s(s(0))), f(X_35)) | 'LE'(f(X_35), s(s(s(0)))) |
% 0.38/0.59 iLEQ(suc(X_35), suc(X_35))),
% 0.38/0.59 inference(resolve, [$cnf('LE'(f(X_35), s(s(s(s(0))))))],
% 0.38/0.59 [refute_0_21, refute_0_7])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_23, plain,
% 0.38/0.59 ('E'(s(s(s(0))), f(X_40)) | 'LE'(f(X_40), s(s(s(0)))) |
% 0.38/0.59 iLEQ(suc(X_40), suc(X_40))),
% 0.38/0.59 inference(subst, [], [refute_0_22 : [bind(X_35, $fot(X_40))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_24, plain,
% 0.38/0.59 ('E'(s(s(s(0))), f(X_23)) | 'E'(s(s(s(s(0)))), f(X_23)) |
% 0.38/0.59 'LE'(f(X_23), s(s(s(0))))),
% 0.38/0.59 inference(subst, [], [refute_0_12 : [bind(X_11, $fot(X_23))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_25, plain,
% 0.38/0.59 ('E'(s(s(s(s(0)))), f(suc(X_20))) | 'LE'(f(X_20), s(s(s(s(0)))))),
% 0.38/0.59 inference(subst, [], [refute_0_15 : [bind(B_585, $fot(X_20))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_26, plain,
% 0.38/0.59 (~ 'E'(s(s(s(s(0)))), f(X_20)) | ~ 'E'(s(s(s(s(0)))), f(suc(X_20))) |
% 0.38/0.59 ~ iLEQ(suc(X_20), suc(X_20))),
% 0.38/0.59 inference(subst, [],
% 0.38/0.59 [clause_1514 :
% 0.38/0.59 [bind(A_1, $fot(X_20)), bind(B_586, $fot(X_20)),
% 0.38/0.59 bind(B_587, $fot(X_20)), bind(B_588, $fot(X_20)),
% 0.38/0.59 bind(B_589, $fot(X_20)), bind(B_590, $fot(X_20))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_27, plain,
% 0.38/0.59 (~ 'E'(s(s(s(s(0)))), f(X_20)) | ~ iLEQ(suc(X_20), suc(X_20)) |
% 0.38/0.59 'LE'(f(X_20), s(s(s(s(0)))))),
% 0.38/0.59 inference(resolve, [$cnf('E'(s(s(s(s(0)))), f(suc(X_20))))],
% 0.38/0.59 [refute_0_25, refute_0_26])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_28, plain,
% 0.38/0.59 (~ 'E'(s(s(s(s(0)))), f(X_23)) | ~ iLEQ(suc(X_23), suc(X_23)) |
% 0.38/0.59 'LE'(f(X_23), s(s(s(s(0)))))),
% 0.38/0.59 inference(subst, [], [refute_0_27 : [bind(X_20, $fot(X_23))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_29, plain,
% 0.38/0.59 (~ iLEQ(suc(X_23), suc(X_23)) | 'E'(s(s(s(0))), f(X_23)) |
% 0.38/0.59 'LE'(f(X_23), s(s(s(0)))) | 'LE'(f(X_23), s(s(s(s(0)))))),
% 0.38/0.59 inference(resolve, [$cnf('E'(s(s(s(s(0)))), f(X_23)))],
% 0.38/0.59 [refute_0_24, refute_0_28])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_30, plain,
% 0.38/0.59 (~ iLEQ(suc(X_40), suc(X_40)) | 'E'(s(s(s(0))), f(X_40)) |
% 0.38/0.59 'LE'(f(X_40), s(s(s(0)))) | 'LE'(f(X_40), s(s(s(s(0)))))),
% 0.38/0.59 inference(subst, [], [refute_0_29 : [bind(X_23, $fot(X_40))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_31, plain,
% 0.38/0.59 ('E'(s(s(s(0))), f(X_40)) | 'LE'(f(X_40), s(s(s(0)))) |
% 0.38/0.59 'LE'(f(X_40), s(s(s(s(0)))))),
% 0.38/0.59 inference(resolve, [$cnf(iLEQ(suc(X_40), suc(X_40)))],
% 0.38/0.59 [refute_0_23, refute_0_30])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_32, plain,
% 0.38/0.59 ('E'(s(s(s(0))), f(X_41)) | 'LE'(f(X_41), s(s(s(0)))) |
% 0.38/0.59 'LE'(f(X_41), s(s(s(s(0)))))),
% 0.38/0.59 inference(subst, [], [refute_0_31 : [bind(X_40, $fot(X_41))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_33, plain,
% 0.38/0.59 ('E'(s(s(s(0))), f(X_41)) | 'LE'(f(X_41), s(s(s(0))))),
% 0.38/0.59 inference(resolve, [$cnf('LE'(f(X_41), s(s(s(s(0))))))],
% 0.38/0.59 [refute_0_32, refute_0_6])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_34, plain,
% 0.38/0.59 ('E'(s(s(s(0))), f(X_42)) | 'LE'(f(X_42), s(s(s(0))))),
% 0.38/0.59 inference(subst, [], [refute_0_33 : [bind(X_41, $fot(X_42))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_35, plain,
% 0.38/0.59 ('E'(s(s(0)), f(X_42)) | 'E'(s(s(s(0))), f(X_42)) |
% 0.38/0.59 'LE'(f(X_42), s(s(0)))),
% 0.38/0.59 inference(resolve, [$cnf('LE'(f(X_42), s(s(s(0)))))],
% 0.38/0.59 [refute_0_34, refute_0_5])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_36, plain,
% 0.38/0.59 ('E'(s(s(0)), f(X_54)) | 'E'(s(s(s(0))), f(X_54)) |
% 0.38/0.59 'LE'(f(X_54), s(s(0)))),
% 0.38/0.59 inference(subst, [], [refute_0_35 : [bind(X_42, $fot(X_54))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_37, plain,
% 0.38/0.59 (~ 'E'(s(s(s(0))), f(X_53)) | ~ 'E'(s(s(s(0))), f(suc(X_53))) |
% 0.38/0.59 iLEQ(suc(X_53), suc(X_53))),
% 0.38/0.59 inference(subst, [], [clause_2227 : [bind(A_2, $fot(X_53))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_38, plain,
% 0.38/0.59 (~ 'LE'(f(suc(X_52)), s(s(s(s(0))))) | 'E'(s(s(s(0))), f(suc(X_52))) |
% 0.38/0.59 'LE'(f(X_52), s(s(s(0))))),
% 0.38/0.59 inference(subst, [], [clause_1935 : [bind(B_906, $fot(X_52))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_39, plain,
% 0.38/0.59 ('E'(s(s(s(s(0)))), f(suc(X_17))) | 'LE'(f(suc(X_17)), s(s(s(s(0)))))),
% 0.38/0.59 inference(subst, [], [refute_0_9 : [bind(B_585, $fot(suc(X_17)))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_40, plain,
% 0.38/0.59 (~ 'LE'(f(suc(X_17)), s(s(s(s(0))))) | 'E'(s(s(s(0))), f(suc(X_17))) |
% 0.38/0.59 'LE'(f(X_17), s(s(s(0))))),
% 0.38/0.59 inference(subst, [], [clause_1935 : [bind(B_906, $fot(X_17))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_41, plain,
% 0.38/0.59 ('E'(s(s(s(0))), f(suc(X_17))) | 'E'(s(s(s(s(0)))), f(suc(X_17))) |
% 0.38/0.59 'LE'(f(X_17), s(s(s(0))))),
% 0.38/0.59 inference(resolve, [$cnf('LE'(f(suc(X_17)), s(s(s(s(0))))))],
% 0.38/0.59 [refute_0_39, refute_0_40])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_42, plain,
% 0.38/0.59 (~ 'E'(s(s(s(s(0)))), f(suc(X_17))) |
% 0.38/0.59 ~ iLEQ(suc(suc(X_17)), suc(suc(X_17))) |
% 0.38/0.59 'LE'(f(suc(X_17)), s(s(s(s(0)))))),
% 0.38/0.59 inference(subst, [], [refute_0_27 : [bind(X_20, $fot(suc(X_17)))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_43, plain,
% 0.38/0.59 (~ iLEQ(suc(suc(X_17)), suc(suc(X_17))) |
% 0.38/0.59 'E'(s(s(s(0))), f(suc(X_17))) | 'LE'(f(X_17), s(s(s(0)))) |
% 0.38/0.59 'LE'(f(suc(X_17)), s(s(s(s(0)))))),
% 0.38/0.59 inference(resolve, [$cnf('E'(s(s(s(s(0)))), f(suc(X_17))))],
% 0.38/0.59 [refute_0_41, refute_0_42])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_44, plain,
% 0.38/0.59 (~ iLEQ(suc(suc(X_50)), suc(suc(X_50))) |
% 0.38/0.59 'E'(s(s(s(0))), f(suc(X_50))) | 'LE'(f(X_50), s(s(s(0)))) |
% 0.38/0.59 'LE'(f(suc(X_50)), s(s(s(s(0)))))),
% 0.38/0.59 inference(subst, [], [refute_0_43 : [bind(X_17, $fot(X_50))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_45, plain,
% 0.38/0.59 (~ 'E'(s(s(s(s(0)))), f(suc(X_17))) |
% 0.38/0.59 'LE'(f(suc(X_17)), s(s(s(s(0))))) |
% 0.38/0.59 iLEQ(suc(suc(X_17)), suc(suc(X_17)))),
% 0.38/0.59 inference(subst, [], [refute_0_18 : [bind(X_22, $fot(suc(X_17)))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_46, plain,
% 0.38/0.59 ('E'(s(s(s(0))), f(suc(X_17))) | 'LE'(f(X_17), s(s(s(0)))) |
% 0.38/0.59 'LE'(f(suc(X_17)), s(s(s(s(0))))) |
% 0.38/0.59 iLEQ(suc(suc(X_17)), suc(suc(X_17)))),
% 0.38/0.59 inference(resolve, [$cnf('E'(s(s(s(s(0)))), f(suc(X_17))))],
% 0.38/0.59 [refute_0_41, refute_0_45])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_47, plain,
% 0.38/0.59 ('E'(s(s(s(0))), f(suc(X_50))) | 'LE'(f(X_50), s(s(s(0)))) |
% 0.38/0.59 'LE'(f(suc(X_50)), s(s(s(s(0))))) |
% 0.38/0.59 iLEQ(suc(suc(X_50)), suc(suc(X_50)))),
% 0.38/0.59 inference(subst, [], [refute_0_46 : [bind(X_17, $fot(X_50))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_48, plain,
% 0.38/0.59 ('E'(s(s(s(0))), f(suc(X_50))) | 'LE'(f(X_50), s(s(s(0)))) |
% 0.38/0.59 'LE'(f(suc(X_50)), s(s(s(s(0)))))),
% 0.38/0.59 inference(resolve, [$cnf(iLEQ(suc(suc(X_50)), suc(suc(X_50))))],
% 0.38/0.59 [refute_0_47, refute_0_44])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_49, plain,
% 0.38/0.59 ('E'(s(s(s(0))), f(suc(X_52))) | 'LE'(f(X_52), s(s(s(0)))) |
% 0.38/0.59 'LE'(f(suc(X_52)), s(s(s(s(0)))))),
% 0.38/0.59 inference(subst, [], [refute_0_48 : [bind(X_50, $fot(X_52))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_50, plain,
% 0.38/0.59 ('E'(s(s(s(0))), f(suc(X_52))) | 'LE'(f(X_52), s(s(s(0))))),
% 0.38/0.59 inference(resolve, [$cnf('LE'(f(suc(X_52)), s(s(s(s(0))))))],
% 0.38/0.59 [refute_0_49, refute_0_38])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_51, plain,
% 0.38/0.59 ('E'(s(s(s(0))), f(suc(X_53))) | 'LE'(f(X_53), s(s(s(0))))),
% 0.38/0.59 inference(subst, [], [refute_0_50 : [bind(X_52, $fot(X_53))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_52, plain,
% 0.38/0.59 (~ 'E'(s(s(s(0))), f(X_53)) | 'LE'(f(X_53), s(s(s(0)))) |
% 0.38/0.59 iLEQ(suc(X_53), suc(X_53))),
% 0.38/0.59 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(X_53))))],
% 0.38/0.59 [refute_0_51, refute_0_37])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_53, plain,
% 0.38/0.59 (~ 'E'(s(s(s(0))), f(X_54)) | 'LE'(f(X_54), s(s(s(0)))) |
% 0.38/0.59 iLEQ(suc(X_54), suc(X_54))),
% 0.38/0.59 inference(subst, [], [refute_0_52 : [bind(X_53, $fot(X_54))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_54, plain,
% 0.38/0.59 ('E'(s(s(0)), f(X_54)) | 'LE'(f(X_54), s(s(0))) |
% 0.38/0.59 'LE'(f(X_54), s(s(s(0)))) | iLEQ(suc(X_54), suc(X_54))),
% 0.38/0.59 inference(resolve, [$cnf('E'(s(s(s(0))), f(X_54)))],
% 0.38/0.59 [refute_0_36, refute_0_53])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_55, plain,
% 0.38/0.59 ('E'(s(s(0)), f(X_64)) | 'LE'(f(X_64), s(s(0))) |
% 0.38/0.59 'LE'(f(X_64), s(s(s(0)))) | iLEQ(suc(X_64), suc(X_64))),
% 0.38/0.59 inference(subst, [], [refute_0_54 : [bind(X_54, $fot(X_64))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_56, plain,
% 0.38/0.59 ('E'(s(s(0)), f(X_64)) | 'LE'(f(X_64), s(s(0))) |
% 0.38/0.59 iLEQ(suc(X_64), suc(X_64))),
% 0.38/0.59 inference(resolve, [$cnf('LE'(f(X_64), s(s(s(0)))))],
% 0.38/0.59 [refute_0_55, refute_0_4])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_57, plain,
% 0.38/0.59 ('E'(s(s(0)), f(X_66)) | 'LE'(f(X_66), s(s(0))) |
% 0.38/0.59 iLEQ(suc(X_66), suc(X_66))),
% 0.38/0.59 inference(subst, [], [refute_0_56 : [bind(X_64, $fot(X_66))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_58, plain,
% 0.38/0.59 ('E'(s(s(0)), f(X_55)) | 'E'(s(s(s(0))), f(X_55)) |
% 0.38/0.59 'LE'(f(X_55), s(s(0)))),
% 0.38/0.59 inference(subst, [], [refute_0_35 : [bind(X_42, $fot(X_55))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_59, plain,
% 0.38/0.59 (~ 'E'(s(s(s(0))), f(X_53)) | ~ 'E'(s(s(s(0))), f(suc(X_53))) |
% 0.38/0.59 ~ iLEQ(suc(X_53), suc(X_53))),
% 0.38/0.59 inference(subst, [],
% 0.38/0.59 [clause_657 :
% 0.38/0.59 [bind(A_2, $fot(X_53)), bind(B_907, $fot(X_53)),
% 0.38/0.59 bind(B_908, $fot(X_53)), bind(B_909, $fot(X_53)),
% 0.38/0.59 bind(B_910, $fot(X_53)), bind(B_911, $fot(X_53))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_60, plain,
% 0.38/0.59 (~ 'E'(s(s(s(0))), f(X_53)) | ~ iLEQ(suc(X_53), suc(X_53)) |
% 0.38/0.59 'LE'(f(X_53), s(s(s(0))))),
% 0.38/0.59 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(X_53))))],
% 0.38/0.59 [refute_0_51, refute_0_59])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_61, plain,
% 0.38/0.59 (~ 'E'(s(s(s(0))), f(X_55)) | ~ iLEQ(suc(X_55), suc(X_55)) |
% 0.38/0.59 'LE'(f(X_55), s(s(s(0))))),
% 0.38/0.59 inference(subst, [], [refute_0_60 : [bind(X_53, $fot(X_55))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_62, plain,
% 0.38/0.59 (~ iLEQ(suc(X_55), suc(X_55)) | 'E'(s(s(0)), f(X_55)) |
% 0.38/0.59 'LE'(f(X_55), s(s(0))) | 'LE'(f(X_55), s(s(s(0))))),
% 0.38/0.59 inference(resolve, [$cnf('E'(s(s(s(0))), f(X_55)))],
% 0.38/0.59 [refute_0_58, refute_0_61])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_63, plain,
% 0.38/0.59 (~ iLEQ(suc(X_66), suc(X_66)) | 'E'(s(s(0)), f(X_66)) |
% 0.38/0.59 'LE'(f(X_66), s(s(0))) | 'LE'(f(X_66), s(s(s(0))))),
% 0.38/0.59 inference(subst, [], [refute_0_62 : [bind(X_55, $fot(X_66))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_64, plain,
% 0.38/0.59 ('E'(s(s(0)), f(X_66)) | 'LE'(f(X_66), s(s(0))) |
% 0.38/0.59 'LE'(f(X_66), s(s(s(0))))),
% 0.38/0.59 inference(resolve, [$cnf(iLEQ(suc(X_66), suc(X_66)))],
% 0.38/0.59 [refute_0_57, refute_0_63])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_65, plain,
% 0.38/0.59 ('E'(s(s(0)), f(X_67)) | 'LE'(f(X_67), s(s(0))) |
% 0.38/0.59 'LE'(f(X_67), s(s(s(0))))),
% 0.38/0.59 inference(subst, [], [refute_0_64 : [bind(X_66, $fot(X_67))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_66, plain, ('E'(s(s(0)), f(X_67)) | 'LE'(f(X_67), s(s(0)))),
% 0.38/0.59 inference(resolve, [$cnf('LE'(f(X_67), s(s(s(0)))))],
% 0.38/0.59 [refute_0_65, refute_0_3])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_67, plain, ('E'(s(s(0)), f(X_68)) | 'LE'(f(X_68), s(s(0)))),
% 0.38/0.59 inference(subst, [], [refute_0_66 : [bind(X_67, $fot(X_68))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_68, plain,
% 0.38/0.59 ('E'(s(0), f(X_68)) | 'E'(s(s(0)), f(X_68)) | 'LE'(f(X_68), s(0))),
% 0.38/0.59 inference(resolve, [$cnf('LE'(f(X_68), s(s(0))))],
% 0.38/0.59 [refute_0_67, refute_0_2])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_69, plain,
% 0.38/0.59 ('E'(s(0), f(X_88)) | 'E'(s(s(0)), f(X_88)) | 'LE'(f(X_88), s(0))),
% 0.38/0.59 inference(subst, [], [refute_0_68 : [bind(X_68, $fot(X_88))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_70, plain,
% 0.38/0.59 (~ 'E'(s(s(0)), f(X_87)) | ~ 'E'(s(s(0)), f(suc(X_87))) |
% 0.38/0.59 ~ iLEQ(suc(X_87), suc(X_87))),
% 0.38/0.59 inference(subst, [],
% 0.38/0.59 [clause_1712 :
% 0.38/0.59 [bind(A_3, $fot(X_87)), bind(B_1067, $fot(X_87)),
% 0.38/0.59 bind(B_1068, $fot(X_87)), bind(B_1069, $fot(X_87)),
% 0.38/0.59 bind(B_1070, $fot(X_87)), bind(B_1071, $fot(X_87))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_71, plain,
% 0.38/0.59 (~ 'LE'(f(suc(X_86)), s(s(s(0)))) | 'E'(s(s(0)), f(suc(X_86))) |
% 0.38/0.59 'LE'(f(X_86), s(s(0)))),
% 0.38/0.59 inference(subst, [], [clause_388 : [bind(B_1066, $fot(X_86))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_72, plain,
% 0.38/0.59 (~ 'LE'(f(suc(X_83)), s(s(s(0)))) | 'E'(s(s(0)), f(suc(X_83))) |
% 0.38/0.59 'LE'(f(X_83), s(s(0)))),
% 0.38/0.59 inference(subst, [], [clause_388 : [bind(B_1066, $fot(X_83))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_73, plain,
% 0.38/0.59 ('E'(s(s(s(0))), f(suc(B_1066))) | 'LE'(f(suc(B_1066)), s(s(s(0))))),
% 0.38/0.59 inference(subst, [], [refute_0_33 : [bind(X_41, $fot(suc(B_1066)))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_74, plain,
% 0.38/0.59 ('E'(s(s(0)), f(suc(B_1066))) | 'E'(s(s(s(0))), f(suc(B_1066))) |
% 0.38/0.59 'LE'(f(B_1066), s(s(0)))),
% 0.38/0.59 inference(resolve, [$cnf('LE'(f(suc(B_1066)), s(s(s(0)))))],
% 0.38/0.59 [refute_0_73, clause_388])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_75, plain,
% 0.38/0.59 (~ 'E'(s(s(s(0))), f(suc(B_1066))) | 'LE'(f(suc(B_1066)), s(s(s(0)))) |
% 0.38/0.59 iLEQ(suc(suc(B_1066)), suc(suc(B_1066)))),
% 0.38/0.59 inference(subst, [], [refute_0_52 : [bind(X_53, $fot(suc(B_1066)))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_76, plain,
% 0.38/0.59 ('E'(s(s(0)), f(suc(B_1066))) | 'LE'(f(B_1066), s(s(0))) |
% 0.38/0.59 'LE'(f(suc(B_1066)), s(s(s(0)))) |
% 0.38/0.59 iLEQ(suc(suc(B_1066)), suc(suc(B_1066)))),
% 0.38/0.59 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(B_1066))))],
% 0.38/0.59 [refute_0_74, refute_0_75])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_77, plain,
% 0.38/0.59 ('E'(s(s(0)), f(suc(X_83))) | 'LE'(f(X_83), s(s(0))) |
% 0.38/0.59 'LE'(f(suc(X_83)), s(s(s(0)))) |
% 0.38/0.59 iLEQ(suc(suc(X_83)), suc(suc(X_83)))),
% 0.38/0.59 inference(subst, [], [refute_0_76 : [bind(B_1066, $fot(X_83))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_78, plain,
% 0.38/0.59 ('E'(s(s(0)), f(suc(X_83))) | 'LE'(f(X_83), s(s(0))) |
% 0.38/0.59 iLEQ(suc(suc(X_83)), suc(suc(X_83)))),
% 0.38/0.59 inference(resolve, [$cnf('LE'(f(suc(X_83)), s(s(s(0)))))],
% 0.38/0.59 [refute_0_77, refute_0_72])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_79, plain,
% 0.38/0.59 ('E'(s(s(0)), f(suc(X_85))) | 'LE'(f(X_85), s(s(0))) |
% 0.38/0.59 iLEQ(suc(suc(X_85)), suc(suc(X_85)))),
% 0.38/0.59 inference(subst, [], [refute_0_78 : [bind(X_83, $fot(X_85))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_80, plain,
% 0.38/0.59 (~ 'E'(s(s(s(0))), f(suc(B_1066))) |
% 0.38/0.59 ~ iLEQ(suc(suc(B_1066)), suc(suc(B_1066))) |
% 0.38/0.59 'LE'(f(suc(B_1066)), s(s(s(0))))),
% 0.38/0.59 inference(subst, [], [refute_0_60 : [bind(X_53, $fot(suc(B_1066)))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_81, plain,
% 0.38/0.59 (~ iLEQ(suc(suc(B_1066)), suc(suc(B_1066))) |
% 0.38/0.59 'E'(s(s(0)), f(suc(B_1066))) | 'LE'(f(B_1066), s(s(0))) |
% 0.38/0.59 'LE'(f(suc(B_1066)), s(s(s(0))))),
% 0.38/0.59 inference(resolve, [$cnf('E'(s(s(s(0))), f(suc(B_1066))))],
% 0.38/0.59 [refute_0_74, refute_0_80])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_82, plain,
% 0.38/0.59 (~ iLEQ(suc(suc(X_85)), suc(suc(X_85))) | 'E'(s(s(0)), f(suc(X_85))) |
% 0.38/0.59 'LE'(f(X_85), s(s(0))) | 'LE'(f(suc(X_85)), s(s(s(0))))),
% 0.38/0.59 inference(subst, [], [refute_0_81 : [bind(B_1066, $fot(X_85))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_83, plain,
% 0.38/0.59 ('E'(s(s(0)), f(suc(X_85))) | 'LE'(f(X_85), s(s(0))) |
% 0.38/0.59 'LE'(f(suc(X_85)), s(s(s(0))))),
% 0.38/0.59 inference(resolve, [$cnf(iLEQ(suc(suc(X_85)), suc(suc(X_85))))],
% 0.38/0.59 [refute_0_79, refute_0_82])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_84, plain,
% 0.38/0.59 ('E'(s(s(0)), f(suc(X_86))) | 'LE'(f(X_86), s(s(0))) |
% 0.38/0.59 'LE'(f(suc(X_86)), s(s(s(0))))),
% 0.38/0.59 inference(subst, [], [refute_0_83 : [bind(X_85, $fot(X_86))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_85, plain,
% 0.38/0.59 ('E'(s(s(0)), f(suc(X_86))) | 'LE'(f(X_86), s(s(0)))),
% 0.38/0.59 inference(resolve, [$cnf('LE'(f(suc(X_86)), s(s(s(0)))))],
% 0.38/0.59 [refute_0_84, refute_0_71])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_86, plain,
% 0.38/0.59 ('E'(s(s(0)), f(suc(X_87))) | 'LE'(f(X_87), s(s(0)))),
% 0.38/0.59 inference(subst, [], [refute_0_85 : [bind(X_86, $fot(X_87))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_87, plain,
% 0.38/0.59 (~ 'E'(s(s(0)), f(X_87)) | ~ iLEQ(suc(X_87), suc(X_87)) |
% 0.38/0.59 'LE'(f(X_87), s(s(0)))),
% 0.38/0.59 inference(resolve, [$cnf('E'(s(s(0)), f(suc(X_87))))],
% 0.38/0.59 [refute_0_86, refute_0_70])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_88, plain,
% 0.38/0.59 (~ 'E'(s(s(0)), f(X_88)) | ~ iLEQ(suc(X_88), suc(X_88)) |
% 0.38/0.59 'LE'(f(X_88), s(s(0)))),
% 0.38/0.59 inference(subst, [], [refute_0_87 : [bind(X_87, $fot(X_88))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_89, plain,
% 0.38/0.59 (~ iLEQ(suc(X_88), suc(X_88)) | 'E'(s(0), f(X_88)) |
% 0.38/0.59 'LE'(f(X_88), s(0)) | 'LE'(f(X_88), s(s(0)))),
% 0.38/0.59 inference(resolve, [$cnf('E'(s(s(0)), f(X_88)))],
% 0.38/0.59 [refute_0_69, refute_0_88])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_90, plain,
% 0.38/0.59 (~ iLEQ(suc(X_96), suc(X_96)) | 'E'(s(0), f(X_96)) |
% 0.38/0.59 'LE'(f(X_96), s(0)) | 'LE'(f(X_96), s(s(0)))),
% 0.38/0.59 inference(subst, [], [refute_0_89 : [bind(X_88, $fot(X_96))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_91, plain,
% 0.38/0.59 ('E'(s(0), f(X_89)) | 'E'(s(s(0)), f(X_89)) | 'LE'(f(X_89), s(0))),
% 0.38/0.59 inference(subst, [], [refute_0_68 : [bind(X_68, $fot(X_89))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_92, plain,
% 0.38/0.59 (~ 'E'(s(s(0)), f(X_87)) | ~ 'E'(s(s(0)), f(suc(X_87))) |
% 0.38/0.59 iLEQ(suc(X_87), suc(X_87))),
% 0.38/0.59 inference(subst, [], [clause_1218 : [bind(A_3, $fot(X_87))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_93, plain,
% 0.38/0.59 (~ 'E'(s(s(0)), f(X_87)) | 'LE'(f(X_87), s(s(0))) |
% 0.38/0.59 iLEQ(suc(X_87), suc(X_87))),
% 0.38/0.59 inference(resolve, [$cnf('E'(s(s(0)), f(suc(X_87))))],
% 0.38/0.59 [refute_0_86, refute_0_92])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_94, plain,
% 0.38/0.59 (~ 'E'(s(s(0)), f(X_89)) | 'LE'(f(X_89), s(s(0))) |
% 0.38/0.59 iLEQ(suc(X_89), suc(X_89))),
% 0.38/0.59 inference(subst, [], [refute_0_93 : [bind(X_87, $fot(X_89))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_95, plain,
% 0.38/0.59 ('E'(s(0), f(X_89)) | 'LE'(f(X_89), s(0)) | 'LE'(f(X_89), s(s(0))) |
% 0.38/0.59 iLEQ(suc(X_89), suc(X_89))),
% 0.38/0.59 inference(resolve, [$cnf('E'(s(s(0)), f(X_89)))],
% 0.38/0.59 [refute_0_91, refute_0_94])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_96, plain,
% 0.38/0.59 ('E'(s(0), f(X_96)) | 'LE'(f(X_96), s(0)) | 'LE'(f(X_96), s(s(0))) |
% 0.38/0.59 iLEQ(suc(X_96), suc(X_96))),
% 0.38/0.59 inference(subst, [], [refute_0_95 : [bind(X_89, $fot(X_96))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_97, plain,
% 0.38/0.59 ('E'(s(0), f(X_96)) | 'LE'(f(X_96), s(0)) | 'LE'(f(X_96), s(s(0)))),
% 0.38/0.59 inference(resolve, [$cnf(iLEQ(suc(X_96), suc(X_96)))],
% 0.38/0.59 [refute_0_96, refute_0_90])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_98, plain,
% 0.38/0.59 ('E'(s(0), f(X_98)) | 'LE'(f(X_98), s(0)) | 'LE'(f(X_98), s(s(0)))),
% 0.38/0.59 inference(subst, [], [refute_0_97 : [bind(X_96, $fot(X_98))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_99, plain, ('E'(s(0), f(X_98)) | 'LE'(f(X_98), s(0))),
% 0.38/0.59 inference(resolve, [$cnf('LE'(f(X_98), s(s(0))))],
% 0.38/0.59 [refute_0_98, refute_0_1])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_100, plain,
% 0.38/0.59 ('E'(s(0), f(suc(B_1161))) | 'LE'(f(suc(B_1161)), s(0))),
% 0.38/0.59 inference(subst, [], [refute_0_99 : [bind(X_98, $fot(suc(B_1161)))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_101, plain,
% 0.38/0.59 ('E'(0, f(suc(B_1161))) | 'E'(s(0), f(suc(B_1161))) |
% 0.38/0.59 'LE'(f(B_1161), 0)),
% 0.38/0.59 inference(resolve, [$cnf('LE'(f(suc(B_1161)), s(0)))],
% 0.38/0.59 [refute_0_100, clause_113])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_102, plain,
% 0.38/0.59 ('E'(0, f(suc(X_136))) | 'E'(s(0), f(suc(X_136))) | 'LE'(f(X_136), 0)),
% 0.38/0.59 inference(subst, [], [refute_0_101 : [bind(B_1161, $fot(X_136))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_103, plain,
% 0.38/0.59 (~ 'E'(s(0), f(X_118)) | ~ 'E'(s(0), f(suc(X_118))) |
% 0.38/0.59 ~ iLEQ(suc(X_118), suc(X_118))),
% 0.38/0.59 inference(subst, [],
% 0.38/0.59 [clause_327 :
% 0.38/0.59 [bind(A_4, $fot(X_118)), bind(B_1137, $fot(X_118)),
% 0.38/0.59 bind(B_1138, $fot(X_118)), bind(B_1139, $fot(X_118)),
% 0.38/0.59 bind(B_1140, $fot(X_118)), bind(B_1141, $fot(X_118))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_104, plain,
% 0.38/0.59 (~ 'LE'(f(suc(X_117)), s(s(0))) | 'E'(s(0), f(suc(X_117))) |
% 0.38/0.59 'LE'(f(X_117), s(0))),
% 0.38/0.59 inference(subst, [], [clause_1440 : [bind(B_1136, $fot(X_117))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_105, plain,
% 0.38/0.59 ('E'(s(s(0)), f(suc(B_1136))) | 'LE'(f(suc(B_1136)), s(s(0)))),
% 0.38/0.59 inference(subst, [], [refute_0_66 : [bind(X_67, $fot(suc(B_1136)))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_106, plain,
% 0.38/0.59 ('E'(s(0), f(suc(B_1136))) | 'E'(s(s(0)), f(suc(B_1136))) |
% 0.38/0.59 'LE'(f(B_1136), s(0))),
% 0.38/0.59 inference(resolve, [$cnf('LE'(f(suc(B_1136)), s(s(0))))],
% 0.38/0.59 [refute_0_105, clause_1440])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_107, plain,
% 0.38/0.59 ('E'(s(0), f(suc(X_116))) | 'E'(s(s(0)), f(suc(X_116))) |
% 0.38/0.59 'LE'(f(X_116), s(0))),
% 0.38/0.59 inference(subst, [], [refute_0_106 : [bind(B_1136, $fot(X_116))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_108, plain,
% 0.38/0.59 ('E'(s(s(0)), f(suc(suc(X_115)))) | 'LE'(f(suc(X_115)), s(s(0)))),
% 0.38/0.59 inference(subst, [], [refute_0_85 : [bind(X_86, $fot(suc(X_115)))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_109, plain,
% 0.38/0.59 (~ 'E'(s(s(0)), f(suc(B_1136))) | 'LE'(f(suc(B_1136)), s(s(0))) |
% 0.38/0.59 iLEQ(suc(suc(B_1136)), suc(suc(B_1136)))),
% 0.38/0.59 inference(subst, [], [refute_0_93 : [bind(X_87, $fot(suc(B_1136)))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_110, plain,
% 0.38/0.59 ('E'(s(0), f(suc(B_1136))) | 'LE'(f(B_1136), s(0)) |
% 0.38/0.59 'LE'(f(suc(B_1136)), s(s(0))) |
% 0.38/0.59 iLEQ(suc(suc(B_1136)), suc(suc(B_1136)))),
% 0.38/0.59 inference(resolve, [$cnf('E'(s(s(0)), f(suc(B_1136))))],
% 0.38/0.59 [refute_0_106, refute_0_109])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_111, plain,
% 0.38/0.59 (~ 'E'(s(s(0)), f(suc(B_1136))) | ~ 'E'(s(s(0)), f(suc(suc(B_1136)))) |
% 0.38/0.59 ~ iLEQ(suc(suc(B_1136)), suc(suc(B_1136)))),
% 0.38/0.59 inference(subst, [],
% 0.38/0.59 [clause_1712 :
% 0.38/0.59 [bind(A_3, $fot(suc(B_1136))),
% 0.38/0.59 bind(B_1067, $fot(suc(B_1136))),
% 0.38/0.59 bind(B_1068, $fot(suc(B_1136))),
% 0.38/0.59 bind(B_1069, $fot(suc(B_1136))),
% 0.38/0.59 bind(B_1070, $fot(suc(B_1136))),
% 0.38/0.59 bind(B_1071, $fot(suc(B_1136)))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_112, plain,
% 0.38/0.59 (~ 'E'(s(s(0)), f(suc(B_1136))) | ~ 'E'(s(s(0)), f(suc(suc(B_1136)))) |
% 0.38/0.59 'E'(s(0), f(suc(B_1136))) | 'LE'(f(B_1136), s(0)) |
% 0.38/0.59 'LE'(f(suc(B_1136)), s(s(0)))),
% 0.38/0.59 inference(resolve, [$cnf(iLEQ(suc(suc(B_1136)), suc(suc(B_1136))))],
% 0.38/0.59 [refute_0_110, refute_0_111])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_113, plain,
% 0.38/0.59 (~ 'E'(s(s(0)), f(suc(X_115))) | ~ 'E'(s(s(0)), f(suc(suc(X_115)))) |
% 0.38/0.59 'E'(s(0), f(suc(X_115))) | 'LE'(f(X_115), s(0)) |
% 0.38/0.59 'LE'(f(suc(X_115)), s(s(0)))),
% 0.38/0.59 inference(subst, [], [refute_0_112 : [bind(B_1136, $fot(X_115))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_114, plain,
% 0.38/0.59 (~ 'E'(s(s(0)), f(suc(X_115))) | 'E'(s(0), f(suc(X_115))) |
% 0.38/0.59 'LE'(f(X_115), s(0)) | 'LE'(f(suc(X_115)), s(s(0)))),
% 0.38/0.59 inference(resolve, [$cnf('E'(s(s(0)), f(suc(suc(X_115)))))],
% 0.38/0.59 [refute_0_108, refute_0_113])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_115, plain,
% 0.38/0.59 (~ 'E'(s(s(0)), f(suc(X_116))) | 'E'(s(0), f(suc(X_116))) |
% 0.38/0.59 'LE'(f(X_116), s(0)) | 'LE'(f(suc(X_116)), s(s(0)))),
% 0.38/0.59 inference(subst, [], [refute_0_114 : [bind(X_115, $fot(X_116))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_116, plain,
% 0.38/0.59 ('E'(s(0), f(suc(X_116))) | 'LE'(f(X_116), s(0)) |
% 0.38/0.59 'LE'(f(suc(X_116)), s(s(0)))),
% 0.38/0.59 inference(resolve, [$cnf('E'(s(s(0)), f(suc(X_116))))],
% 0.38/0.59 [refute_0_107, refute_0_115])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_117, plain,
% 0.38/0.59 ('E'(s(0), f(suc(X_117))) | 'LE'(f(X_117), s(0)) |
% 0.38/0.59 'LE'(f(suc(X_117)), s(s(0)))),
% 0.38/0.59 inference(subst, [], [refute_0_116 : [bind(X_116, $fot(X_117))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_118, plain, ('E'(s(0), f(suc(X_117))) | 'LE'(f(X_117), s(0))),
% 0.38/0.59 inference(resolve, [$cnf('LE'(f(suc(X_117)), s(s(0))))],
% 0.38/0.59 [refute_0_117, refute_0_104])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_119, plain, ('E'(s(0), f(suc(X_118))) | 'LE'(f(X_118), s(0))),
% 0.38/0.59 inference(subst, [], [refute_0_118 : [bind(X_117, $fot(X_118))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_120, plain,
% 0.38/0.59 (~ 'E'(s(0), f(X_118)) | ~ iLEQ(suc(X_118), suc(X_118)) |
% 0.38/0.59 'LE'(f(X_118), s(0))),
% 0.38/0.59 inference(resolve, [$cnf('E'(s(0), f(suc(X_118))))],
% 0.38/0.59 [refute_0_119, refute_0_103])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_121, plain,
% 0.38/0.59 (~ 'E'(s(0), f(suc(X_129))) |
% 0.38/0.59 ~ iLEQ(suc(suc(X_129)), suc(suc(X_129))) | 'LE'(f(suc(X_129)), s(0))),
% 0.38/0.59 inference(subst, [],
% 0.38/0.59 [refute_0_120 : [bind(X_118, $fot(suc(X_129)))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_122, plain,
% 0.38/0.59 (~ 'E'(s(0), f(X_118)) | ~ 'E'(s(0), f(suc(X_118))) |
% 0.38/0.59 iLEQ(suc(X_118), suc(X_118))),
% 0.38/0.59 inference(subst, [], [clause_1329 : [bind(A_4, $fot(X_118))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_123, plain,
% 0.38/0.59 (~ 'E'(s(0), f(X_118)) | 'LE'(f(X_118), s(0)) |
% 0.38/0.59 iLEQ(suc(X_118), suc(X_118))),
% 0.38/0.59 inference(resolve, [$cnf('E'(s(0), f(suc(X_118))))],
% 0.38/0.59 [refute_0_119, refute_0_122])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_124, plain,
% 0.38/0.59 (~ 'E'(s(0), f(suc(B_1161))) | 'LE'(f(suc(B_1161)), s(0)) |
% 0.38/0.59 iLEQ(suc(suc(B_1161)), suc(suc(B_1161)))),
% 0.38/0.59 inference(subst, [],
% 0.38/0.59 [refute_0_123 : [bind(X_118, $fot(suc(B_1161)))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_125, plain,
% 0.38/0.59 ('E'(0, f(suc(B_1161))) | 'LE'(f(B_1161), 0) |
% 0.38/0.59 'LE'(f(suc(B_1161)), s(0)) |
% 0.38/0.59 iLEQ(suc(suc(B_1161)), suc(suc(B_1161)))),
% 0.38/0.59 inference(resolve, [$cnf('E'(s(0), f(suc(B_1161))))],
% 0.38/0.59 [refute_0_101, refute_0_124])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_126, plain,
% 0.38/0.59 ('E'(0, f(suc(X_129))) | 'LE'(f(X_129), 0) |
% 0.38/0.59 'LE'(f(suc(X_129)), s(0)) | iLEQ(suc(suc(X_129)), suc(suc(X_129)))),
% 0.38/0.59 inference(subst, [], [refute_0_125 : [bind(B_1161, $fot(X_129))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_127, plain,
% 0.38/0.59 (~ 'E'(s(0), f(suc(X_129))) | 'E'(0, f(suc(X_129))) |
% 0.38/0.59 'LE'(f(X_129), 0) | 'LE'(f(suc(X_129)), s(0))),
% 0.38/0.59 inference(resolve, [$cnf(iLEQ(suc(suc(X_129)), suc(suc(X_129))))],
% 0.38/0.59 [refute_0_126, refute_0_121])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_128, plain,
% 0.38/0.59 (~ 'E'(s(0), f(suc(X_136))) | 'E'(0, f(suc(X_136))) |
% 0.38/0.59 'LE'(f(X_136), 0) | 'LE'(f(suc(X_136)), s(0))),
% 0.38/0.59 inference(subst, [], [refute_0_127 : [bind(X_129, $fot(X_136))]])).
% 0.38/0.59
% 0.38/0.59 cnf(refute_0_129, plain,
% 0.38/0.59 ('E'(0, f(suc(X_136))) | 'LE'(f(X_136), 0) |
% 0.38/0.60 'LE'(f(suc(X_136)), s(0))),
% 0.38/0.60 inference(resolve, [$cnf('E'(s(0), f(suc(X_136))))],
% 0.38/0.60 [refute_0_102, refute_0_128])).
% 0.38/0.60
% 0.38/0.60 cnf(refute_0_130, plain,
% 0.38/0.60 ('E'(0, f(suc(X_137))) | 'LE'(f(X_137), 0) |
% 0.38/0.60 'LE'(f(suc(X_137)), s(0))),
% 0.38/0.60 inference(subst, [], [refute_0_129 : [bind(X_136, $fot(X_137))]])).
% 0.38/0.60
% 0.38/0.60 cnf(refute_0_131, plain, ('E'(0, f(suc(X_137))) | 'LE'(f(X_137), 0)),
% 0.38/0.60 inference(resolve, [$cnf('LE'(f(suc(X_137)), s(0)))],
% 0.38/0.60 [refute_0_130, refute_0_0])).
% 0.38/0.60
% 0.38/0.60 cnf(refute_0_132, plain, ('E'(0, f(suc(z))) | 'LE'(f(z), 0)),
% 0.38/0.60 inference(subst, [], [refute_0_131 : [bind(X_137, $fot(z))]])).
% 0.38/0.60
% 0.38/0.60 cnf(refute_0_133, plain,
% 0.38/0.60 (~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) | ~ iLEQ(suc(z), suc(z))),
% 0.38/0.60 inference(subst, [],
% 0.38/0.60 [clause_421 :
% 0.38/0.60 [bind(A_5, $fot(z)), bind(B_1162, $fot(z)),
% 0.38/0.60 bind(B_1163, $fot(z)), bind(B_1164, $fot(z)),
% 0.38/0.60 bind(B_1165, $fot(z)), bind(B_1166, $fot(z))]])).
% 0.38/0.60
% 0.38/0.60 cnf(refute_0_134, plain,
% 0.38/0.60 (~ 'LE'(f(X_131), s(0)) | 'E'(0, f(X_131)) | 'LE'(f(X_131), 0)),
% 0.38/0.60 inference(subst, [], [clause_328 : [bind(B_1161, $fot(X_131))]])).
% 0.38/0.60
% 0.38/0.60 cnf(refute_0_135, plain,
% 0.38/0.60 (~ 'LE'(f(X_99), s(0)) | 'E'(0, f(X_99)) | 'LE'(f(X_99), 0)),
% 0.38/0.60 inference(subst, [], [clause_328 : [bind(B_1161, $fot(X_99))]])).
% 0.38/0.60
% 0.38/0.60 cnf(refute_0_136, plain, ('E'(s(0), f(X_99)) | 'LE'(f(X_99), s(0))),
% 0.38/0.60 inference(subst, [], [refute_0_99 : [bind(X_98, $fot(X_99))]])).
% 0.38/0.60
% 0.38/0.60 cnf(refute_0_137, plain,
% 0.38/0.60 ('E'(0, f(X_99)) | 'E'(s(0), f(X_99)) | 'LE'(f(X_99), 0)),
% 0.38/0.60 inference(resolve, [$cnf('LE'(f(X_99), s(0)))],
% 0.38/0.60 [refute_0_136, refute_0_135])).
% 0.38/0.60
% 0.38/0.60 cnf(refute_0_138, plain,
% 0.38/0.60 ('E'(0, f(X_130)) | 'E'(s(0), f(X_130)) | 'LE'(f(X_130), 0)),
% 0.38/0.60 inference(subst, [], [refute_0_137 : [bind(X_99, $fot(X_130))]])).
% 0.38/0.60
% 0.38/0.60 cnf(refute_0_139, plain,
% 0.38/0.60 (~ 'E'(s(0), f(X_126)) | ~ iLEQ(suc(X_126), suc(X_126)) |
% 0.38/0.60 'LE'(f(X_126), s(0))),
% 0.38/0.60 inference(subst, [], [refute_0_120 : [bind(X_118, $fot(X_126))]])).
% 0.38/0.60
% 0.38/0.60 cnf(refute_0_140, plain,
% 0.38/0.60 ('E'(0, f(X_119)) | 'E'(s(0), f(X_119)) | 'LE'(f(X_119), 0)),
% 0.38/0.60 inference(subst, [], [refute_0_137 : [bind(X_99, $fot(X_119))]])).
% 0.38/0.60
% 0.38/0.60 cnf(refute_0_141, plain,
% 0.38/0.60 (~ 'E'(s(0), f(X_119)) | 'LE'(f(X_119), s(0)) |
% 0.38/0.60 iLEQ(suc(X_119), suc(X_119))),
% 0.38/0.60 inference(subst, [], [refute_0_123 : [bind(X_118, $fot(X_119))]])).
% 0.38/0.60
% 0.38/0.60 cnf(refute_0_142, plain,
% 0.38/0.60 ('E'(0, f(X_119)) | 'LE'(f(X_119), 0) | 'LE'(f(X_119), s(0)) |
% 0.38/0.60 iLEQ(suc(X_119), suc(X_119))),
% 0.38/0.60 inference(resolve, [$cnf('E'(s(0), f(X_119)))],
% 0.38/0.60 [refute_0_140, refute_0_141])).
% 0.38/0.60
% 0.38/0.60 cnf(refute_0_143, plain,
% 0.38/0.60 ('E'(0, f(X_126)) | 'LE'(f(X_126), 0) | 'LE'(f(X_126), s(0)) |
% 0.38/0.60 iLEQ(suc(X_126), suc(X_126))),
% 0.38/0.60 inference(subst, [], [refute_0_142 : [bind(X_119, $fot(X_126))]])).
% 0.38/0.60
% 0.38/0.60 cnf(refute_0_144, plain,
% 0.38/0.60 (~ 'E'(s(0), f(X_126)) | 'E'(0, f(X_126)) | 'LE'(f(X_126), 0) |
% 0.38/0.60 'LE'(f(X_126), s(0))),
% 0.38/0.60 inference(resolve, [$cnf(iLEQ(suc(X_126), suc(X_126)))],
% 0.38/0.60 [refute_0_143, refute_0_139])).
% 0.38/0.60
% 0.38/0.60 cnf(refute_0_145, plain,
% 0.38/0.60 (~ 'E'(s(0), f(X_130)) | 'E'(0, f(X_130)) | 'LE'(f(X_130), 0) |
% 0.38/0.60 'LE'(f(X_130), s(0))),
% 0.38/0.60 inference(subst, [], [refute_0_144 : [bind(X_126, $fot(X_130))]])).
% 0.38/0.60
% 0.38/0.60 cnf(refute_0_146, plain,
% 0.38/0.60 ('E'(0, f(X_130)) | 'LE'(f(X_130), 0) | 'LE'(f(X_130), s(0))),
% 0.38/0.60 inference(resolve, [$cnf('E'(s(0), f(X_130)))],
% 0.38/0.60 [refute_0_138, refute_0_145])).
% 0.38/0.60
% 0.38/0.60 cnf(refute_0_147, plain,
% 0.38/0.60 ('E'(0, f(X_131)) | 'LE'(f(X_131), 0) | 'LE'(f(X_131), s(0))),
% 0.38/0.60 inference(subst, [], [refute_0_146 : [bind(X_130, $fot(X_131))]])).
% 0.38/0.60
% 0.38/0.60 cnf(refute_0_148, plain, ('E'(0, f(X_131)) | 'LE'(f(X_131), 0)),
% 0.38/0.60 inference(resolve, [$cnf('LE'(f(X_131), s(0)))],
% 0.38/0.60 [refute_0_147, refute_0_134])).
% 0.38/0.60
% 0.38/0.60 cnf(refute_0_149, plain, ('E'(0, f(z)) | 'LE'(f(z), 0)),
% 0.38/0.60 inference(subst, [], [refute_0_148 : [bind(X_131, $fot(z))]])).
% 0.38/0.60
% 0.38/0.60 cnf(refute_0_150, plain, ('E'(0, f(z))),
% 0.38/0.60 inference(resolve, [$cnf('LE'(f(z), 0))],
% 0.38/0.60 [refute_0_149, clause_1092])).
% 0.38/0.60
% 0.38/0.60 cnf(refute_0_151, plain,
% 0.38/0.60 (~ 'E'(0, f(X_138)) | ~ 'E'(0, f(suc(X_138))) |
% 0.38/0.60 iLEQ(suc(X_138), suc(X_138))),
% 0.38/0.60 inference(subst, [], [clause_2293 : [bind(A_5, $fot(X_138))]])).
% 0.38/0.60
% 0.38/0.60 cnf(refute_0_152, plain, ('E'(0, f(suc(X_138))) | 'LE'(f(X_138), 0)),
% 0.38/0.60 inference(subst, [], [refute_0_131 : [bind(X_137, $fot(X_138))]])).
% 0.38/0.60
% 0.38/0.60 cnf(refute_0_153, plain,
% 0.38/0.60 (~ 'E'(0, f(X_138)) | 'LE'(f(X_138), 0) |
% 0.38/0.60 iLEQ(suc(X_138), suc(X_138))),
% 0.38/0.60 inference(resolve, [$cnf('E'(0, f(suc(X_138))))],
% 0.38/0.60 [refute_0_152, refute_0_151])).
% 0.38/0.60
% 0.38/0.60 cnf(refute_0_154, plain,
% 0.38/0.60 (~ 'E'(0, f(z)) | 'LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 0.38/0.60 inference(subst, [], [refute_0_153 : [bind(X_138, $fot(z))]])).
% 0.38/0.60
% 0.38/0.60 cnf(refute_0_155, plain, ('LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 0.38/0.60 inference(resolve, [$cnf('E'(0, f(z)))],
% 0.38/0.60 [refute_0_150, refute_0_154])).
% 0.38/0.60
% 0.38/0.60 cnf(refute_0_156, plain, (iLEQ(suc(z), suc(z))),
% 0.38/0.60 inference(resolve, [$cnf('LE'(f(z), 0))],
% 0.38/0.60 [refute_0_155, clause_1092])).
% 0.38/0.60
% 0.38/0.60 cnf(refute_0_157, plain, (~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z))),
% 0.38/0.60 inference(resolve, [$cnf(iLEQ(suc(z), suc(z)))],
% 0.38/0.60 [refute_0_156, refute_0_133])).
% 0.38/0.60
% 0.38/0.60 cnf(refute_0_158, plain, (~ 'E'(0, f(suc(z)))),
% 0.38/0.60 inference(resolve, [$cnf('E'(0, f(z)))],
% 0.38/0.60 [refute_0_150, refute_0_157])).
% 0.38/0.60
% 0.38/0.60 cnf(refute_0_159, plain, ('LE'(f(z), 0)),
% 0.38/0.60 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 0.38/0.60 [refute_0_132, refute_0_158])).
% 0.38/0.60
% 0.38/0.60 cnf(refute_0_160, plain, ($false),
% 0.38/0.60 inference(resolve, [$cnf('LE'(f(z), 0))],
% 0.38/0.60 [refute_0_159, clause_1092])).
% 0.38/0.60 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.60
%------------------------------------------------------------------------------