TSTP Solution File: SYO674-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYO674-1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n017.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 18:40:49 EDT 2022
% Result : Unsatisfiable 0.20s 0.47s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO674-1 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.34 % Computer : n017.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jul 9 05:01:46 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.47 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47
% 0.20/0.47 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48 cnf(clause_193, axiom,
% 0.20/0.48 (~ 'E'(s(0), f(suc(B_233))) | ~ 'E'(s(0), f(suc(B_232))) |
% 0.20/0.48 ~ iLEQ(suc(B_230), suc(B_231)) | ~ 'E'(s(0), f(B_229)) |
% 0.20/0.48 ~ 'E'(s(0), f(suc(A_2))) | ~ 'E'(s(0), f(suc(B_229))) |
% 0.20/0.48 ~ 'E'(s(0), f(B_232)) | ~ 'E'(s(0), f(B_233)) |
% 0.20/0.48 ~ 'E'(s(0), f(B_231)) | ~ iLEQ(suc(A_2), suc(B_229)) |
% 0.20/0.48 ~ iLEQ(suc(B_229), suc(B_230)) | ~ 'E'(s(0), f(suc(B_231))) |
% 0.20/0.48 ~ 'E'(s(0), f(B_230)) | ~ 'E'(s(0), f(suc(B_230))) |
% 0.20/0.48 ~ iLEQ(suc(B_232), suc(B_233)) | ~ 'E'(s(0), f(A_2)) |
% 0.20/0.48 ~ iLEQ(suc(B_231), suc(B_232)))).
% 0.20/0.48
% 0.20/0.48 cnf(clause_298, axiom,
% 0.20/0.48 (~ 'LE'(f(B_228), s(s(0))) | 'E'(s(0), f(B_228)) |
% 0.20/0.48 'LE'(f(B_228), s(0)))).
% 0.20/0.48
% 0.20/0.48 cnf(clause_281, axiom,
% 0.20/0.48 (~ 'E'(0, f(A_3)) | ~ 'E'(0, f(suc(A_3))) | iLEQ(suc(A_3), suc(A_3)))).
% 0.20/0.48
% 0.20/0.48 cnf(clause_176, axiom,
% 0.20/0.48 (~ 'LE'(f(B_253), s(0)) | 'E'(0, f(B_253)) | 'LE'(f(B_253), 0))).
% 0.20/0.48
% 0.20/0.48 cnf(clause_139, axiom,
% 0.20/0.48 (~ 'LE'(f(B_158), s(s(s(0)))) | 'E'(s(s(0)), f(B_158)) |
% 0.20/0.48 'LE'(f(B_158), s(s(0))))).
% 0.20/0.48
% 0.20/0.48 cnf(clause_126, axiom,
% 0.20/0.48 (~ 'E'(s(s(0)), f(A_1)) | ~ 'E'(s(s(0)), f(suc(A_1))) |
% 0.20/0.48 iLEQ(suc(A_1), suc(A_1)))).
% 0.20/0.48
% 0.20/0.48 cnf(clause_498, axiom, ('LE'(f(A), s(s(s(0)))))).
% 0.20/0.48
% 0.20/0.48 cnf(clause_204, axiom, (~ 'LE'(f(z), 0))).
% 0.20/0.48
% 0.20/0.48 cnf(clause_129, axiom,
% 0.20/0.48 (~ 'LE'(f(suc(B_158)), s(s(s(0)))) | 'E'(s(s(0)), f(suc(B_158))) |
% 0.20/0.48 'LE'(f(B_158), s(s(0))))).
% 0.20/0.48
% 0.20/0.48 cnf(clause_431, axiom,
% 0.20/0.48 (~ 'E'(s(s(0)), f(A_1)) | ~ 'E'(s(s(0)), f(suc(B_163))) |
% 0.20/0.48 ~ 'E'(s(s(0)), f(B_159)) | ~ iLEQ(suc(B_160), suc(B_161)) |
% 0.20/0.48 ~ 'E'(s(s(0)), f(suc(A_1))) | ~ 'E'(s(s(0)), f(B_162)) |
% 0.20/0.48 ~ 'E'(s(s(0)), f(B_163)) | ~ iLEQ(suc(B_159), suc(B_160)) |
% 0.20/0.48 ~ 'E'(s(s(0)), f(suc(B_161))) | ~ 'E'(s(s(0)), f(suc(B_160))) |
% 0.20/0.48 ~ 'E'(s(s(0)), f(suc(B_162))) | ~ 'E'(s(s(0)), f(B_160)) |
% 0.20/0.48 ~ iLEQ(suc(B_161), suc(B_162)) | ~ 'E'(s(s(0)), f(B_161)) |
% 0.20/0.48 ~ 'E'(s(s(0)), f(suc(B_159))) | ~ iLEQ(suc(B_162), suc(B_163)) |
% 0.20/0.48 ~ iLEQ(suc(A_1), suc(B_159)))).
% 0.20/0.48
% 0.20/0.48 cnf(clause_50, axiom,
% 0.20/0.48 (~ 'LE'(f(suc(B_253)), s(0)) | 'E'(0, f(suc(B_253))) |
% 0.20/0.48 'LE'(f(B_253), 0))).
% 0.20/0.48
% 0.20/0.48 cnf(clause_84, axiom,
% 0.20/0.48 (~ 'LE'(f(suc(B_228)), s(s(0))) | 'E'(s(0), f(suc(B_228))) |
% 0.20/0.48 'LE'(f(B_228), s(0)))).
% 0.20/0.48
% 0.20/0.48 cnf(clause_493, axiom,
% 0.20/0.48 (~ 'E'(s(0), f(A_2)) | ~ 'E'(s(0), f(suc(A_2))) |
% 0.20/0.48 iLEQ(suc(A_2), suc(A_2)))).
% 0.20/0.48
% 0.20/0.48 cnf(clause_453, axiom,
% 0.20/0.48 (~ iLEQ(suc(A_3), suc(B_254)) | ~ 'E'(0, f(B_254)) |
% 0.20/0.48 ~ 'E'(0, f(suc(B_257))) | ~ iLEQ(suc(B_255), suc(B_256)) |
% 0.20/0.48 ~ 'E'(0, f(B_258)) | ~ iLEQ(suc(B_256), suc(B_257)) |
% 0.20/0.48 ~ 'E'(0, f(A_3)) | ~ 'E'(0, f(B_255)) | ~ 'E'(0, f(suc(B_254))) |
% 0.20/0.48 ~ iLEQ(suc(B_254), suc(B_255)) | ~ 'E'(0, f(suc(A_3))) |
% 0.20/0.48 ~ 'E'(0, f(suc(B_256))) | ~ iLEQ(suc(B_257), suc(B_258)) |
% 0.20/0.48 ~ 'E'(0, f(suc(B_255))) | ~ 'E'(0, f(suc(B_258))) |
% 0.20/0.48 ~ 'E'(0, f(B_256)) | ~ 'E'(0, f(B_257)))).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_0, plain,
% 0.20/0.48 (~ 'LE'(f(suc(X_67)), s(0)) | 'E'(0, f(suc(X_67))) | 'LE'(f(X_67), 0)),
% 0.20/0.48 inference(subst, [], [clause_50 : [bind(B_253, $fot(X_67))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_1, plain,
% 0.20/0.48 (~ 'LE'(f(X_30), s(s(0))) | 'E'(s(0), f(X_30)) | 'LE'(f(X_30), s(0))),
% 0.20/0.48 inference(subst, [], [clause_298 : [bind(B_228, $fot(X_30))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_2, plain, ('LE'(f(B_158), s(s(s(0))))),
% 0.20/0.48 inference(subst, [], [clause_498 : [bind(A, $fot(B_158))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_3, plain, ('E'(s(s(0)), f(B_158)) | 'LE'(f(B_158), s(s(0)))),
% 0.20/0.48 inference(resolve, [$cnf('LE'(f(B_158), s(s(s(0)))))],
% 0.20/0.48 [refute_0_2, clause_139])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_4, plain, ('E'(s(s(0)), f(X_7)) | 'LE'(f(X_7), s(s(0)))),
% 0.20/0.48 inference(subst, [], [refute_0_3 : [bind(B_158, $fot(X_7))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_5, plain,
% 0.20/0.48 (~ 'LE'(f(X_7), s(s(0))) | 'E'(s(0), f(X_7)) | 'LE'(f(X_7), s(0))),
% 0.20/0.48 inference(subst, [], [clause_298 : [bind(B_228, $fot(X_7))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_6, plain,
% 0.20/0.48 ('E'(s(0), f(X_7)) | 'E'(s(s(0)), f(X_7)) | 'LE'(f(X_7), s(0))),
% 0.20/0.48 inference(resolve, [$cnf('LE'(f(X_7), s(s(0))))],
% 0.20/0.48 [refute_0_4, refute_0_5])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_7, plain,
% 0.20/0.48 ('E'(s(0), f(X_15)) | 'E'(s(s(0)), f(X_15)) | 'LE'(f(X_15), s(0))),
% 0.20/0.48 inference(subst, [], [refute_0_6 : [bind(X_7, $fot(X_15))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_8, plain, ('LE'(f(suc(B_158)), s(s(s(0))))),
% 0.20/0.48 inference(subst, [], [clause_498 : [bind(A, $fot(suc(B_158)))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_9, plain,
% 0.20/0.48 ('E'(s(s(0)), f(suc(B_158))) | 'LE'(f(B_158), s(s(0)))),
% 0.20/0.48 inference(resolve, [$cnf('LE'(f(suc(B_158)), s(s(s(0)))))],
% 0.20/0.48 [refute_0_8, clause_129])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_10, plain,
% 0.20/0.48 ('E'(s(s(0)), f(suc(X_14))) | 'LE'(f(X_14), s(s(0)))),
% 0.20/0.48 inference(subst, [], [refute_0_9 : [bind(B_158, $fot(X_14))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_11, plain,
% 0.20/0.48 (~ 'E'(s(s(0)), f(X_14)) | ~ 'E'(s(s(0)), f(suc(X_14))) |
% 0.20/0.48 ~ iLEQ(suc(X_14), suc(X_14))),
% 0.20/0.48 inference(subst, [],
% 0.20/0.48 [clause_431 :
% 0.20/0.48 [bind(A_1, $fot(X_14)), bind(B_159, $fot(X_14)),
% 0.20/0.48 bind(B_160, $fot(X_14)), bind(B_161, $fot(X_14)),
% 0.20/0.48 bind(B_162, $fot(X_14)), bind(B_163, $fot(X_14))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_12, plain,
% 0.20/0.48 (~ 'E'(s(s(0)), f(X_14)) | ~ iLEQ(suc(X_14), suc(X_14)) |
% 0.20/0.48 'LE'(f(X_14), s(s(0)))),
% 0.20/0.48 inference(resolve, [$cnf('E'(s(s(0)), f(suc(X_14))))],
% 0.20/0.48 [refute_0_10, refute_0_11])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_13, plain,
% 0.20/0.48 (~ 'E'(s(s(0)), f(X_15)) | ~ iLEQ(suc(X_15), suc(X_15)) |
% 0.20/0.48 'LE'(f(X_15), s(s(0)))),
% 0.20/0.48 inference(subst, [], [refute_0_12 : [bind(X_14, $fot(X_15))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_14, plain,
% 0.20/0.48 (~ iLEQ(suc(X_15), suc(X_15)) | 'E'(s(0), f(X_15)) |
% 0.20/0.48 'LE'(f(X_15), s(0)) | 'LE'(f(X_15), s(s(0)))),
% 0.20/0.48 inference(resolve, [$cnf('E'(s(s(0)), f(X_15)))],
% 0.20/0.48 [refute_0_7, refute_0_13])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_15, plain,
% 0.20/0.48 (~ iLEQ(suc(X_29), suc(X_29)) | 'E'(s(0), f(X_29)) |
% 0.20/0.48 'LE'(f(X_29), s(0)) | 'LE'(f(X_29), s(s(0)))),
% 0.20/0.48 inference(subst, [], [refute_0_14 : [bind(X_15, $fot(X_29))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_16, plain,
% 0.20/0.48 ('E'(s(0), f(X_16)) | 'E'(s(s(0)), f(X_16)) | 'LE'(f(X_16), s(0))),
% 0.20/0.48 inference(subst, [], [refute_0_6 : [bind(X_7, $fot(X_16))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_17, plain,
% 0.20/0.48 ('E'(s(s(0)), f(suc(X_13))) | 'LE'(f(X_13), s(s(0)))),
% 0.20/0.48 inference(subst, [], [refute_0_9 : [bind(B_158, $fot(X_13))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_18, plain,
% 0.20/0.48 (~ 'E'(s(s(0)), f(X_13)) | ~ 'E'(s(s(0)), f(suc(X_13))) |
% 0.20/0.48 iLEQ(suc(X_13), suc(X_13))),
% 0.20/0.48 inference(subst, [], [clause_126 : [bind(A_1, $fot(X_13))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_19, plain,
% 0.20/0.48 (~ 'E'(s(s(0)), f(X_13)) | 'LE'(f(X_13), s(s(0))) |
% 0.20/0.48 iLEQ(suc(X_13), suc(X_13))),
% 0.20/0.48 inference(resolve, [$cnf('E'(s(s(0)), f(suc(X_13))))],
% 0.20/0.48 [refute_0_17, refute_0_18])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_20, plain,
% 0.20/0.48 (~ 'E'(s(s(0)), f(X_16)) | 'LE'(f(X_16), s(s(0))) |
% 0.20/0.48 iLEQ(suc(X_16), suc(X_16))),
% 0.20/0.48 inference(subst, [], [refute_0_19 : [bind(X_13, $fot(X_16))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_21, plain,
% 0.20/0.48 ('E'(s(0), f(X_16)) | 'LE'(f(X_16), s(0)) | 'LE'(f(X_16), s(s(0))) |
% 0.20/0.48 iLEQ(suc(X_16), suc(X_16))),
% 0.20/0.48 inference(resolve, [$cnf('E'(s(s(0)), f(X_16)))],
% 0.20/0.48 [refute_0_16, refute_0_20])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_22, plain,
% 0.20/0.48 ('E'(s(0), f(X_29)) | 'LE'(f(X_29), s(0)) | 'LE'(f(X_29), s(s(0))) |
% 0.20/0.48 iLEQ(suc(X_29), suc(X_29))),
% 0.20/0.48 inference(subst, [], [refute_0_21 : [bind(X_16, $fot(X_29))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_23, plain,
% 0.20/0.48 ('E'(s(0), f(X_29)) | 'LE'(f(X_29), s(0)) | 'LE'(f(X_29), s(s(0)))),
% 0.20/0.48 inference(resolve, [$cnf(iLEQ(suc(X_29), suc(X_29)))],
% 0.20/0.48 [refute_0_22, refute_0_15])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_24, plain,
% 0.20/0.48 ('E'(s(0), f(X_30)) | 'LE'(f(X_30), s(0)) | 'LE'(f(X_30), s(s(0)))),
% 0.20/0.48 inference(subst, [], [refute_0_23 : [bind(X_29, $fot(X_30))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_25, plain, ('E'(s(0), f(X_30)) | 'LE'(f(X_30), s(0))),
% 0.20/0.48 inference(resolve, [$cnf('LE'(f(X_30), s(s(0))))],
% 0.20/0.48 [refute_0_24, refute_0_1])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_26, plain,
% 0.20/0.48 ('E'(s(0), f(suc(B_253))) | 'LE'(f(suc(B_253)), s(0))),
% 0.20/0.48 inference(subst, [], [refute_0_25 : [bind(X_30, $fot(suc(B_253)))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_27, plain,
% 0.20/0.48 ('E'(0, f(suc(B_253))) | 'E'(s(0), f(suc(B_253))) | 'LE'(f(B_253), 0)),
% 0.20/0.48 inference(resolve, [$cnf('LE'(f(suc(B_253)), s(0)))],
% 0.20/0.48 [refute_0_26, clause_50])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_28, plain,
% 0.20/0.48 ('E'(0, f(suc(X_66))) | 'E'(s(0), f(suc(X_66))) | 'LE'(f(X_66), 0)),
% 0.20/0.48 inference(subst, [], [refute_0_27 : [bind(B_253, $fot(X_66))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_29, plain,
% 0.20/0.48 (~ 'E'(s(0), f(X_45)) | ~ 'E'(s(0), f(suc(X_45))) |
% 0.20/0.48 ~ iLEQ(suc(X_45), suc(X_45))),
% 0.20/0.48 inference(subst, [],
% 0.20/0.48 [clause_193 :
% 0.20/0.48 [bind(A_2, $fot(X_45)), bind(B_229, $fot(X_45)),
% 0.20/0.48 bind(B_230, $fot(X_45)), bind(B_231, $fot(X_45)),
% 0.20/0.48 bind(B_232, $fot(X_45)), bind(B_233, $fot(X_45))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_30, plain,
% 0.20/0.48 (~ 'LE'(f(suc(X_44)), s(s(0))) | 'E'(s(0), f(suc(X_44))) |
% 0.20/0.48 'LE'(f(X_44), s(0))),
% 0.20/0.48 inference(subst, [], [clause_84 : [bind(B_228, $fot(X_44))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_31, plain,
% 0.20/0.48 ('E'(s(s(0)), f(suc(X_11))) | 'LE'(f(suc(X_11)), s(s(0)))),
% 0.20/0.48 inference(subst, [], [refute_0_3 : [bind(B_158, $fot(suc(X_11)))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_32, plain,
% 0.20/0.48 (~ 'LE'(f(suc(X_11)), s(s(0))) | 'E'(s(0), f(suc(X_11))) |
% 0.20/0.48 'LE'(f(X_11), s(0))),
% 0.20/0.48 inference(subst, [], [clause_84 : [bind(B_228, $fot(X_11))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_33, plain,
% 0.20/0.48 ('E'(s(0), f(suc(X_11))) | 'E'(s(s(0)), f(suc(X_11))) |
% 0.20/0.48 'LE'(f(X_11), s(0))),
% 0.20/0.48 inference(resolve, [$cnf('LE'(f(suc(X_11)), s(s(0))))],
% 0.20/0.48 [refute_0_31, refute_0_32])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_34, plain,
% 0.20/0.48 ('E'(s(0), f(suc(X_43))) | 'E'(s(s(0)), f(suc(X_43))) |
% 0.20/0.48 'LE'(f(X_43), s(0))),
% 0.20/0.48 inference(subst, [], [refute_0_33 : [bind(X_11, $fot(X_43))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_35, plain,
% 0.20/0.48 (~ 'E'(s(s(0)), f(suc(X_37))) |
% 0.20/0.48 ~ iLEQ(suc(suc(X_37)), suc(suc(X_37))) | 'LE'(f(suc(X_37)), s(s(0)))),
% 0.20/0.48 inference(subst, [], [refute_0_12 : [bind(X_14, $fot(suc(X_37)))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_36, plain,
% 0.20/0.48 (~ 'E'(s(s(0)), f(suc(X_11))) | 'LE'(f(suc(X_11)), s(s(0))) |
% 0.20/0.48 iLEQ(suc(suc(X_11)), suc(suc(X_11)))),
% 0.20/0.48 inference(subst, [], [refute_0_19 : [bind(X_13, $fot(suc(X_11)))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_37, plain,
% 0.20/0.48 ('E'(s(0), f(suc(X_11))) | 'LE'(f(X_11), s(0)) |
% 0.20/0.48 'LE'(f(suc(X_11)), s(s(0))) | iLEQ(suc(suc(X_11)), suc(suc(X_11)))),
% 0.20/0.48 inference(resolve, [$cnf('E'(s(s(0)), f(suc(X_11))))],
% 0.20/0.48 [refute_0_33, refute_0_36])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_38, plain,
% 0.20/0.48 ('E'(s(0), f(suc(X_37))) | 'LE'(f(X_37), s(0)) |
% 0.20/0.48 'LE'(f(suc(X_37)), s(s(0))) | iLEQ(suc(suc(X_37)), suc(suc(X_37)))),
% 0.20/0.48 inference(subst, [], [refute_0_37 : [bind(X_11, $fot(X_37))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_39, plain,
% 0.20/0.48 (~ 'E'(s(s(0)), f(suc(X_37))) | 'E'(s(0), f(suc(X_37))) |
% 0.20/0.48 'LE'(f(X_37), s(0)) | 'LE'(f(suc(X_37)), s(s(0)))),
% 0.20/0.48 inference(resolve, [$cnf(iLEQ(suc(suc(X_37)), suc(suc(X_37))))],
% 0.20/0.48 [refute_0_38, refute_0_35])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_40, plain,
% 0.20/0.48 (~ 'E'(s(s(0)), f(suc(X_43))) | 'E'(s(0), f(suc(X_43))) |
% 0.20/0.48 'LE'(f(X_43), s(0)) | 'LE'(f(suc(X_43)), s(s(0)))),
% 0.20/0.48 inference(subst, [], [refute_0_39 : [bind(X_37, $fot(X_43))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_41, plain,
% 0.20/0.48 ('E'(s(0), f(suc(X_43))) | 'LE'(f(X_43), s(0)) |
% 0.20/0.48 'LE'(f(suc(X_43)), s(s(0)))),
% 0.20/0.48 inference(resolve, [$cnf('E'(s(s(0)), f(suc(X_43))))],
% 0.20/0.48 [refute_0_34, refute_0_40])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_42, plain,
% 0.20/0.48 ('E'(s(0), f(suc(X_44))) | 'LE'(f(X_44), s(0)) |
% 0.20/0.48 'LE'(f(suc(X_44)), s(s(0)))),
% 0.20/0.48 inference(subst, [], [refute_0_41 : [bind(X_43, $fot(X_44))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_43, plain, ('E'(s(0), f(suc(X_44))) | 'LE'(f(X_44), s(0))),
% 0.20/0.48 inference(resolve, [$cnf('LE'(f(suc(X_44)), s(s(0))))],
% 0.20/0.48 [refute_0_42, refute_0_30])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_44, plain, ('E'(s(0), f(suc(X_45))) | 'LE'(f(X_45), s(0))),
% 0.20/0.48 inference(subst, [], [refute_0_43 : [bind(X_44, $fot(X_45))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_45, plain,
% 0.20/0.48 (~ 'E'(s(0), f(X_45)) | ~ iLEQ(suc(X_45), suc(X_45)) |
% 0.20/0.48 'LE'(f(X_45), s(0))),
% 0.20/0.48 inference(resolve, [$cnf('E'(s(0), f(suc(X_45))))],
% 0.20/0.48 [refute_0_44, refute_0_29])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_46, plain,
% 0.20/0.48 (~ 'E'(s(0), f(suc(X_62))) | ~ iLEQ(suc(suc(X_62)), suc(suc(X_62))) |
% 0.20/0.48 'LE'(f(suc(X_62)), s(0))),
% 0.20/0.48 inference(subst, [], [refute_0_45 : [bind(X_45, $fot(suc(X_62)))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_47, plain,
% 0.20/0.48 (~ 'E'(s(0), f(X_45)) | ~ 'E'(s(0), f(suc(X_45))) |
% 0.20/0.48 iLEQ(suc(X_45), suc(X_45))),
% 0.20/0.48 inference(subst, [], [clause_493 : [bind(A_2, $fot(X_45))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_48, plain,
% 0.20/0.48 (~ 'E'(s(0), f(X_45)) | 'LE'(f(X_45), s(0)) |
% 0.20/0.48 iLEQ(suc(X_45), suc(X_45))),
% 0.20/0.48 inference(resolve, [$cnf('E'(s(0), f(suc(X_45))))],
% 0.20/0.48 [refute_0_44, refute_0_47])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_49, plain,
% 0.20/0.48 (~ 'E'(s(0), f(suc(B_253))) | 'LE'(f(suc(B_253)), s(0)) |
% 0.20/0.48 iLEQ(suc(suc(B_253)), suc(suc(B_253)))),
% 0.20/0.48 inference(subst, [], [refute_0_48 : [bind(X_45, $fot(suc(B_253)))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_50, plain,
% 0.20/0.48 ('E'(0, f(suc(B_253))) | 'LE'(f(B_253), 0) |
% 0.20/0.48 'LE'(f(suc(B_253)), s(0)) | iLEQ(suc(suc(B_253)), suc(suc(B_253)))),
% 0.20/0.48 inference(resolve, [$cnf('E'(s(0), f(suc(B_253))))],
% 0.20/0.48 [refute_0_27, refute_0_49])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_51, plain,
% 0.20/0.48 ('E'(0, f(suc(X_62))) | 'LE'(f(X_62), 0) | 'LE'(f(suc(X_62)), s(0)) |
% 0.20/0.48 iLEQ(suc(suc(X_62)), suc(suc(X_62)))),
% 0.20/0.48 inference(subst, [], [refute_0_50 : [bind(B_253, $fot(X_62))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_52, plain,
% 0.20/0.48 (~ 'E'(s(0), f(suc(X_62))) | 'E'(0, f(suc(X_62))) | 'LE'(f(X_62), 0) |
% 0.20/0.48 'LE'(f(suc(X_62)), s(0))),
% 0.20/0.48 inference(resolve, [$cnf(iLEQ(suc(suc(X_62)), suc(suc(X_62))))],
% 0.20/0.48 [refute_0_51, refute_0_46])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_53, plain,
% 0.20/0.48 (~ 'E'(s(0), f(suc(X_66))) | 'E'(0, f(suc(X_66))) | 'LE'(f(X_66), 0) |
% 0.20/0.48 'LE'(f(suc(X_66)), s(0))),
% 0.20/0.48 inference(subst, [], [refute_0_52 : [bind(X_62, $fot(X_66))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_54, plain,
% 0.20/0.48 ('E'(0, f(suc(X_66))) | 'LE'(f(X_66), 0) | 'LE'(f(suc(X_66)), s(0))),
% 0.20/0.48 inference(resolve, [$cnf('E'(s(0), f(suc(X_66))))],
% 0.20/0.48 [refute_0_28, refute_0_53])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_55, plain,
% 0.20/0.48 ('E'(0, f(suc(X_67))) | 'LE'(f(X_67), 0) | 'LE'(f(suc(X_67)), s(0))),
% 0.20/0.48 inference(subst, [], [refute_0_54 : [bind(X_66, $fot(X_67))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_56, plain, ('E'(0, f(suc(X_67))) | 'LE'(f(X_67), 0)),
% 0.20/0.48 inference(resolve, [$cnf('LE'(f(suc(X_67)), s(0)))],
% 0.20/0.48 [refute_0_55, refute_0_0])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_57, plain, ('E'(0, f(suc(z))) | 'LE'(f(z), 0)),
% 0.20/0.48 inference(subst, [], [refute_0_56 : [bind(X_67, $fot(z))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_58, plain,
% 0.20/0.48 (~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) | ~ iLEQ(suc(z), suc(z))),
% 0.20/0.48 inference(subst, [],
% 0.20/0.48 [clause_453 :
% 0.20/0.48 [bind(A_3, $fot(z)), bind(B_254, $fot(z)),
% 0.20/0.48 bind(B_255, $fot(z)), bind(B_256, $fot(z)),
% 0.20/0.48 bind(B_257, $fot(z)), bind(B_258, $fot(z))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_59, plain,
% 0.20/0.48 (~ 'LE'(f(X_58), s(0)) | 'E'(0, f(X_58)) | 'LE'(f(X_58), 0)),
% 0.20/0.48 inference(subst, [], [clause_176 : [bind(B_253, $fot(X_58))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_60, plain,
% 0.20/0.48 (~ 'LE'(f(X_31), s(0)) | 'E'(0, f(X_31)) | 'LE'(f(X_31), 0)),
% 0.20/0.48 inference(subst, [], [clause_176 : [bind(B_253, $fot(X_31))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_61, plain, ('E'(s(0), f(X_31)) | 'LE'(f(X_31), s(0))),
% 0.20/0.48 inference(subst, [], [refute_0_25 : [bind(X_30, $fot(X_31))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_62, plain,
% 0.20/0.48 ('E'(0, f(X_31)) | 'E'(s(0), f(X_31)) | 'LE'(f(X_31), 0)),
% 0.20/0.48 inference(resolve, [$cnf('LE'(f(X_31), s(0)))],
% 0.20/0.48 [refute_0_61, refute_0_60])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_63, plain,
% 0.20/0.48 ('E'(0, f(X_57)) | 'E'(s(0), f(X_57)) | 'LE'(f(X_57), 0)),
% 0.20/0.48 inference(subst, [], [refute_0_62 : [bind(X_31, $fot(X_57))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_64, plain,
% 0.20/0.48 (~ 'E'(s(0), f(X_54)) | ~ iLEQ(suc(X_54), suc(X_54)) |
% 0.20/0.48 'LE'(f(X_54), s(0))),
% 0.20/0.48 inference(subst, [], [refute_0_45 : [bind(X_45, $fot(X_54))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_65, plain,
% 0.20/0.48 ('E'(0, f(X_47)) | 'E'(s(0), f(X_47)) | 'LE'(f(X_47), 0)),
% 0.20/0.48 inference(subst, [], [refute_0_62 : [bind(X_31, $fot(X_47))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_66, plain,
% 0.20/0.48 (~ 'E'(s(0), f(X_47)) | 'LE'(f(X_47), s(0)) |
% 0.20/0.48 iLEQ(suc(X_47), suc(X_47))),
% 0.20/0.48 inference(subst, [], [refute_0_48 : [bind(X_45, $fot(X_47))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_67, plain,
% 0.20/0.48 ('E'(0, f(X_47)) | 'LE'(f(X_47), 0) | 'LE'(f(X_47), s(0)) |
% 0.20/0.48 iLEQ(suc(X_47), suc(X_47))),
% 0.20/0.48 inference(resolve, [$cnf('E'(s(0), f(X_47)))],
% 0.20/0.48 [refute_0_65, refute_0_66])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_68, plain,
% 0.20/0.48 ('E'(0, f(X_54)) | 'LE'(f(X_54), 0) | 'LE'(f(X_54), s(0)) |
% 0.20/0.48 iLEQ(suc(X_54), suc(X_54))),
% 0.20/0.48 inference(subst, [], [refute_0_67 : [bind(X_47, $fot(X_54))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_69, plain,
% 0.20/0.48 (~ 'E'(s(0), f(X_54)) | 'E'(0, f(X_54)) | 'LE'(f(X_54), 0) |
% 0.20/0.48 'LE'(f(X_54), s(0))),
% 0.20/0.48 inference(resolve, [$cnf(iLEQ(suc(X_54), suc(X_54)))],
% 0.20/0.48 [refute_0_68, refute_0_64])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_70, plain,
% 0.20/0.48 (~ 'E'(s(0), f(X_57)) | 'E'(0, f(X_57)) | 'LE'(f(X_57), 0) |
% 0.20/0.48 'LE'(f(X_57), s(0))),
% 0.20/0.48 inference(subst, [], [refute_0_69 : [bind(X_54, $fot(X_57))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_71, plain,
% 0.20/0.48 ('E'(0, f(X_57)) | 'LE'(f(X_57), 0) | 'LE'(f(X_57), s(0))),
% 0.20/0.48 inference(resolve, [$cnf('E'(s(0), f(X_57)))],
% 0.20/0.48 [refute_0_63, refute_0_70])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_72, plain,
% 0.20/0.48 ('E'(0, f(X_58)) | 'LE'(f(X_58), 0) | 'LE'(f(X_58), s(0))),
% 0.20/0.48 inference(subst, [], [refute_0_71 : [bind(X_57, $fot(X_58))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_73, plain, ('E'(0, f(X_58)) | 'LE'(f(X_58), 0)),
% 0.20/0.48 inference(resolve, [$cnf('LE'(f(X_58), s(0)))],
% 0.20/0.48 [refute_0_72, refute_0_59])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_74, plain, ('E'(0, f(z)) | 'LE'(f(z), 0)),
% 0.20/0.48 inference(subst, [], [refute_0_73 : [bind(X_58, $fot(z))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_75, plain, ('E'(0, f(z))),
% 0.20/0.48 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_74, clause_204])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_76, plain,
% 0.20/0.48 (~ 'E'(0, f(X_68)) | ~ 'E'(0, f(suc(X_68))) |
% 0.20/0.48 iLEQ(suc(X_68), suc(X_68))),
% 0.20/0.48 inference(subst, [], [clause_281 : [bind(A_3, $fot(X_68))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_77, plain, ('E'(0, f(suc(X_68))) | 'LE'(f(X_68), 0)),
% 0.20/0.48 inference(subst, [], [refute_0_56 : [bind(X_67, $fot(X_68))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_78, plain,
% 0.20/0.48 (~ 'E'(0, f(X_68)) | 'LE'(f(X_68), 0) | iLEQ(suc(X_68), suc(X_68))),
% 0.20/0.48 inference(resolve, [$cnf('E'(0, f(suc(X_68))))],
% 0.20/0.48 [refute_0_77, refute_0_76])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_79, plain,
% 0.20/0.48 (~ 'E'(0, f(z)) | 'LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 0.20/0.48 inference(subst, [], [refute_0_78 : [bind(X_68, $fot(z))]])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_80, plain, ('LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 0.20/0.48 inference(resolve, [$cnf('E'(0, f(z)))], [refute_0_75, refute_0_79])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_81, plain, (iLEQ(suc(z), suc(z))),
% 0.20/0.48 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_80, clause_204])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_82, plain, (~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z))),
% 0.20/0.48 inference(resolve, [$cnf(iLEQ(suc(z), suc(z)))],
% 0.20/0.48 [refute_0_81, refute_0_58])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_83, plain, (~ 'E'(0, f(suc(z)))),
% 0.20/0.48 inference(resolve, [$cnf('E'(0, f(z)))], [refute_0_75, refute_0_82])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_84, plain, ('LE'(f(z), 0)),
% 0.20/0.48 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 0.20/0.48 [refute_0_57, refute_0_83])).
% 0.20/0.48
% 0.20/0.48 cnf(refute_0_85, plain, ($false),
% 0.20/0.48 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_84, clause_204])).
% 0.20/0.48 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48
%------------------------------------------------------------------------------