TSTP Solution File: SYO650-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYO650-1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n028.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 18:40:40 EDT 2022
% Result : Unsatisfiable 0.20s 0.42s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO650-1 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jul 9 02:05:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.42 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.42
% 0.20/0.42 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.42 cnf(clause_278, axiom,
% 0.20/0.42 (~ 'LE'(f(B_5), s(0)) | 'E'(0, f(B_5)) | 'LE'(f(B_5), 0))).
% 0.20/0.42
% 0.20/0.42 cnf(clause_406, axiom, ('LE'(f(A), s(0)))).
% 0.20/0.42
% 0.20/0.42 cnf(clause_359, axiom,
% 0.20/0.42 (~ 'LE'(f(suc(suc(B_5))), s(0)) | 'E'(0, f(suc(suc(B_5)))) |
% 0.20/0.42 'LE'(f(B_5), 0))).
% 0.20/0.42
% 0.20/0.42 cnf(clause_189, axiom,
% 0.20/0.42 (~ 'E'(0, f(suc(suc(suc(A_1))))) | ~ 'E'(0, f(suc(A_1))) |
% 0.20/0.42 ~ 'E'(0, f(suc(suc(A_1)))) | ~ 'E'(0, f(A_1)) |
% 0.20/0.42 ~ 'E'(f(A_1), f(suc(suc(A_1)))) | ~ 'E'(f(A_1), f(suc(A_1))) |
% 0.20/0.42 iLEQ(suc(A_1), suc(A_1)))).
% 0.20/0.42
% 0.20/0.42 cnf(clause_309, axiom,
% 0.20/0.42 (~ 'E'(0, f(suc(suc(B_6)))) | ~ iLEQ(suc(A_1), suc(B_6)) |
% 0.20/0.42 ~ 'E'(0, f(suc(B_7))) | ~ 'E'(0, f(suc(A_1))) |
% 0.20/0.42 ~ 'E'(f(B_7), f(suc(B_7))) | ~ 'E'(0, f(suc(suc(A_1)))) |
% 0.20/0.42 ~ 'E'(0, f(A_1)) | ~ 'E'(0, f(suc(suc(B_7)))) |
% 0.20/0.42 ~ iLEQ(suc(B_6), suc(B_7)) | ~ 'E'(f(A_1), f(suc(A_1))) |
% 0.20/0.42 ~ 'E'(0, f(B_6)) | ~ 'E'(0, f(B_7)) | ~ 'E'(f(B_6), f(suc(B_6))) |
% 0.20/0.42 ~ 'E'(0, f(suc(B_6))) | 'E'(f(A_1), f(suc(suc(A_1)))) |
% 0.20/0.42 'E'(f(B_6), f(suc(suc(B_6)))) | 'E'(f(B_7), f(suc(suc(B_7)))))).
% 0.20/0.42
% 0.20/0.42 cnf(clause_313, axiom,
% 0.20/0.42 (~ 'LE'(f(suc(B_5)), s(0)) | 'E'(0, f(suc(B_5))) | 'LE'(f(B_5), 0))).
% 0.20/0.42
% 0.20/0.42 cnf(clause_333, axiom,
% 0.20/0.42 (~ iLEQ(suc(A_1), suc(B_6)) | ~ 'E'(0, f(suc(B_7))) |
% 0.20/0.42 ~ 'E'(0, f(suc(A_1))) | ~ 'E'(0, f(A_1)) |
% 0.20/0.42 ~ iLEQ(suc(B_6), suc(B_7)) | ~ 'E'(0, f(B_6)) | ~ 'E'(0, f(B_7)) |
% 0.20/0.42 ~ 'E'(0, f(suc(B_6))) | 'E'(f(A_1), f(suc(A_1))) |
% 0.20/0.42 'E'(f(B_6), f(suc(B_6))) | 'E'(f(B_7), f(suc(B_7))))).
% 0.20/0.42
% 0.20/0.42 cnf(clause_376, axiom,
% 0.20/0.42 (~ 'LE'(f(suc(suc(suc(B_5)))), s(0)) | 'E'(0, f(suc(suc(suc(B_5))))) |
% 0.20/0.42 'LE'(f(B_5), 0))).
% 0.20/0.42
% 0.20/0.42 cnf(clause_135, axiom,
% 0.20/0.42 (~ 'E'(0, f(suc(suc(suc(A_1))))) | ~ 'E'(0, f(suc(suc(B_6)))) |
% 0.20/0.42 ~ iLEQ(suc(A_1), suc(B_6)) | ~ 'E'(0, f(suc(B_7))) |
% 0.20/0.42 ~ 'E'(0, f(suc(A_1))) | ~ 'E'(f(B_7), f(suc(B_7))) |
% 0.20/0.42 ~ 'E'(0, f(suc(suc(A_1)))) | ~ 'E'(0, f(A_1)) |
% 0.20/0.42 ~ 'E'(0, f(suc(suc(B_7)))) | ~ 'E'(0, f(suc(suc(suc(B_6))))) |
% 0.20/0.42 ~ 'E'(f(A_1), f(suc(suc(A_1)))) | ~ iLEQ(suc(B_6), suc(B_7)) |
% 0.20/0.42 ~ 'E'(f(A_1), f(suc(A_1))) | ~ 'E'(0, f(B_6)) |
% 0.20/0.42 ~ 'E'(f(B_7), f(suc(suc(B_7)))) | ~ 'E'(f(B_6), f(suc(suc(B_6)))) |
% 0.20/0.42 ~ 'E'(0, f(suc(suc(suc(B_7))))) | ~ 'E'(0, f(B_7)) |
% 0.20/0.42 ~ 'E'(f(B_6), f(suc(B_6))) | ~ 'E'(0, f(suc(B_6))))).
% 0.20/0.42
% 0.20/0.42 cnf(clause_345, axiom,
% 0.20/0.42 (~ 'E'(0, f(suc(suc(A_1)))) | ~ 'E'(0, f(suc(A_1))) |
% 0.20/0.42 ~ 'E'(f(A_1), f(suc(A_1))) | ~ 'E'(0, f(A_1)) |
% 0.20/0.42 'E'(f(A_1), f(suc(suc(A_1)))) | iLEQ(suc(A_1), suc(A_1)))).
% 0.20/0.42
% 0.20/0.42 cnf(clause_206, axiom, (~ 'LE'(f(z), 0))).
% 0.20/0.42
% 0.20/0.42 cnf(clause_64, axiom,
% 0.20/0.42 (~ 'E'(0, f(A_1)) | ~ 'E'(0, f(suc(A_1))) | 'E'(f(A_1), f(suc(A_1))) |
% 0.20/0.42 iLEQ(suc(A_1), suc(A_1)))).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_0, plain, ('LE'(f(suc(B_5)), s(0))),
% 0.20/0.42 inference(subst, [], [clause_406 : [bind(A, $fot(suc(B_5)))]])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_1, plain, ('E'(0, f(suc(B_5))) | 'LE'(f(B_5), 0)),
% 0.20/0.42 inference(resolve, [$cnf('LE'(f(suc(B_5)), s(0)))],
% 0.20/0.42 [refute_0_0, clause_313])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_2, plain, ('E'(0, f(suc(z))) | 'LE'(f(z), 0)),
% 0.20/0.42 inference(subst, [], [refute_0_1 : [bind(B_5, $fot(z))]])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_3, plain, ('LE'(f(suc(suc(B_5))), s(0))),
% 0.20/0.42 inference(subst, [], [clause_406 : [bind(A, $fot(suc(suc(B_5))))]])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_4, plain, ('E'(0, f(suc(suc(B_5)))) | 'LE'(f(B_5), 0)),
% 0.20/0.42 inference(resolve, [$cnf('LE'(f(suc(suc(B_5))), s(0)))],
% 0.20/0.42 [refute_0_3, clause_359])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_5, plain, ('E'(0, f(suc(suc(z)))) | 'LE'(f(z), 0)),
% 0.20/0.42 inference(subst, [], [refute_0_4 : [bind(B_5, $fot(z))]])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_6, plain, ('LE'(f(suc(suc(suc(B_5)))), s(0))),
% 0.20/0.42 inference(subst, [],
% 0.20/0.42 [clause_406 : [bind(A, $fot(suc(suc(suc(B_5)))))]])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_7, plain, ('E'(0, f(suc(suc(suc(B_5))))) | 'LE'(f(B_5), 0)),
% 0.20/0.42 inference(resolve, [$cnf('LE'(f(suc(suc(suc(B_5)))), s(0)))],
% 0.20/0.42 [refute_0_6, clause_376])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_8, plain, ('E'(0, f(suc(suc(suc(z))))) | 'LE'(f(z), 0)),
% 0.20/0.42 inference(subst, [], [refute_0_7 : [bind(B_5, $fot(z))]])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_9, plain,
% 0.20/0.42 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 0.20/0.42 ~ 'E'(f(z), f(suc(z))) | ~ iLEQ(suc(z), suc(z)) |
% 0.20/0.42 'E'(f(z), f(suc(suc(z))))),
% 0.20/0.42 inference(subst, [],
% 0.20/0.42 [clause_309 :
% 0.20/0.42 [bind(A_1, $fot(z)), bind(B_6, $fot(z)),
% 0.20/0.42 bind(B_7, $fot(z))]])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_10, plain,
% 0.20/0.43 (~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) | ~ iLEQ(suc(z), suc(z)) |
% 0.20/0.43 'E'(f(z), f(suc(z)))),
% 0.20/0.43 inference(subst, [],
% 0.20/0.43 [clause_333 :
% 0.20/0.43 [bind(A_1, $fot(z)), bind(B_6, $fot(z)),
% 0.20/0.43 bind(B_7, $fot(z))]])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_11, plain, ('LE'(f(B_5), s(0))),
% 0.20/0.43 inference(subst, [], [clause_406 : [bind(A, $fot(B_5))]])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_12, plain, ('E'(0, f(B_5)) | 'LE'(f(B_5), 0)),
% 0.20/0.43 inference(resolve, [$cnf('LE'(f(B_5), s(0)))],
% 0.20/0.43 [refute_0_11, clause_278])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_13, plain, ('E'(0, f(z)) | 'LE'(f(z), 0)),
% 0.20/0.43 inference(subst, [], [refute_0_12 : [bind(B_5, $fot(z))]])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_14, plain, ('E'(0, f(z))),
% 0.20/0.43 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_13, clause_206])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_15, plain, ('E'(0, f(suc(X_5))) | 'LE'(f(X_5), 0)),
% 0.20/0.43 inference(subst, [], [refute_0_1 : [bind(B_5, $fot(X_5))]])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_16, plain,
% 0.20/0.43 (~ 'E'(0, f(X_5)) | ~ 'E'(0, f(suc(X_5))) | 'E'(f(X_5), f(suc(X_5))) |
% 0.20/0.43 iLEQ(suc(X_5), suc(X_5))),
% 0.20/0.43 inference(subst, [], [clause_64 : [bind(A_1, $fot(X_5))]])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_17, plain,
% 0.20/0.43 (~ 'E'(0, f(X_5)) | 'E'(f(X_5), f(suc(X_5))) | 'LE'(f(X_5), 0) |
% 0.20/0.43 iLEQ(suc(X_5), suc(X_5))),
% 0.20/0.43 inference(resolve, [$cnf('E'(0, f(suc(X_5))))],
% 0.20/0.43 [refute_0_15, refute_0_16])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_18, plain,
% 0.20/0.43 (~ 'E'(0, f(z)) | 'E'(f(z), f(suc(z))) | 'LE'(f(z), 0) |
% 0.20/0.43 iLEQ(suc(z), suc(z))),
% 0.20/0.43 inference(subst, [], [refute_0_17 : [bind(X_5, $fot(z))]])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_19, plain,
% 0.20/0.43 ('E'(f(z), f(suc(z))) | 'LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 0.20/0.43 inference(resolve, [$cnf('E'(0, f(z)))], [refute_0_14, refute_0_18])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_20, plain, ('E'(f(z), f(suc(z))) | iLEQ(suc(z), suc(z))),
% 0.20/0.43 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_19, clause_206])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_21, plain,
% 0.20/0.43 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 0.20/0.43 ~ 'E'(f(z), f(suc(z))) | 'E'(f(z), f(suc(suc(z)))) |
% 0.20/0.43 iLEQ(suc(z), suc(z))),
% 0.20/0.43 inference(subst, [], [clause_345 : [bind(A_1, $fot(z))]])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_22, plain,
% 0.20/0.43 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 0.20/0.43 'E'(f(z), f(suc(suc(z)))) | iLEQ(suc(z), suc(z))),
% 0.20/0.43 inference(resolve, [$cnf('E'(f(z), f(suc(z))))],
% 0.20/0.43 [refute_0_20, refute_0_21])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_23, plain,
% 0.20/0.43 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) |
% 0.20/0.43 'E'(f(z), f(suc(suc(z)))) | iLEQ(suc(z), suc(z))),
% 0.20/0.43 inference(resolve, [$cnf('E'(0, f(z)))], [refute_0_14, refute_0_22])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_24, plain,
% 0.20/0.43 (~ 'E'(0, f(suc(z))) | 'E'(f(z), f(suc(suc(z)))) | 'LE'(f(z), 0) |
% 0.20/0.43 iLEQ(suc(z), suc(z))),
% 0.20/0.43 inference(resolve, [$cnf('E'(0, f(suc(suc(z)))))],
% 0.20/0.43 [refute_0_5, refute_0_23])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_25, plain,
% 0.20/0.43 (~ 'E'(0, f(suc(z))) | 'E'(f(z), f(suc(suc(z)))) |
% 0.20/0.43 iLEQ(suc(z), suc(z))),
% 0.20/0.43 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_24, clause_206])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_26, plain,
% 0.20/0.43 ('E'(f(z), f(suc(suc(z)))) | 'LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 0.20/0.43 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 0.20/0.43 [refute_0_2, refute_0_25])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_27, plain, ('E'(f(z), f(suc(suc(z)))) | iLEQ(suc(z), suc(z))),
% 0.20/0.43 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_26, clause_206])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_28, plain,
% 0.20/0.43 (~ 'E'(0, f(suc(suc(suc(z))))) | ~ 'E'(0, f(suc(suc(z)))) |
% 0.20/0.43 ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) | ~ 'E'(f(z), f(suc(suc(z)))) |
% 0.20/0.43 ~ 'E'(f(z), f(suc(z))) | iLEQ(suc(z), suc(z))),
% 0.20/0.43 inference(subst, [], [clause_189 : [bind(A_1, $fot(z))]])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_29, plain,
% 0.20/0.43 (~ 'E'(0, f(suc(suc(suc(z))))) | ~ 'E'(0, f(suc(suc(z)))) |
% 0.20/0.43 ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) | ~ 'E'(f(z), f(suc(z))) |
% 0.20/0.43 iLEQ(suc(z), suc(z))),
% 0.20/0.43 inference(resolve, [$cnf('E'(f(z), f(suc(suc(z)))))],
% 0.20/0.43 [refute_0_27, refute_0_28])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_30, plain,
% 0.20/0.43 (~ 'E'(0, f(suc(suc(suc(z))))) | ~ 'E'(0, f(suc(suc(z)))) |
% 0.20/0.43 ~ 'E'(0, f(suc(z))) | ~ 'E'(f(z), f(suc(z))) | iLEQ(suc(z), suc(z))),
% 0.20/0.43 inference(resolve, [$cnf('E'(0, f(z)))], [refute_0_14, refute_0_29])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_31, plain,
% 0.20/0.43 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) |
% 0.20/0.43 ~ 'E'(f(z), f(suc(z))) | 'LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 0.20/0.43 inference(resolve, [$cnf('E'(0, f(suc(suc(suc(z))))))],
% 0.20/0.43 [refute_0_8, refute_0_30])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_32, plain,
% 0.20/0.43 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) |
% 0.20/0.43 ~ 'E'(f(z), f(suc(z))) | iLEQ(suc(z), suc(z))),
% 0.20/0.43 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_31, clause_206])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_33, plain,
% 0.20/0.43 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) |
% 0.20/0.43 iLEQ(suc(z), suc(z))),
% 0.20/0.43 inference(resolve, [$cnf('E'(f(z), f(suc(z))))],
% 0.20/0.43 [refute_0_20, refute_0_32])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_34, plain,
% 0.20/0.43 (~ 'E'(0, f(suc(z))) | 'LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 0.20/0.43 inference(resolve, [$cnf('E'(0, f(suc(suc(z)))))],
% 0.20/0.43 [refute_0_5, refute_0_33])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_35, plain, (~ 'E'(0, f(suc(z))) | iLEQ(suc(z), suc(z))),
% 0.20/0.43 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_34, clause_206])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_36, plain, ('LE'(f(z), 0) | iLEQ(suc(z), suc(z))),
% 0.20/0.43 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 0.20/0.43 [refute_0_2, refute_0_35])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_37, plain, (iLEQ(suc(z), suc(z))),
% 0.20/0.43 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_36, clause_206])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_38, plain,
% 0.20/0.43 (~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) | 'E'(f(z), f(suc(z)))),
% 0.20/0.43 inference(resolve, [$cnf(iLEQ(suc(z), suc(z)))],
% 0.20/0.43 [refute_0_37, refute_0_10])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_39, plain, (~ 'E'(0, f(suc(z))) | 'E'(f(z), f(suc(z)))),
% 0.20/0.43 inference(resolve, [$cnf('E'(0, f(z)))], [refute_0_14, refute_0_38])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_40, plain, ('E'(f(z), f(suc(z))) | 'LE'(f(z), 0)),
% 0.20/0.43 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 0.20/0.43 [refute_0_2, refute_0_39])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_41, plain, ('E'(f(z), f(suc(z)))),
% 0.20/0.43 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_40, clause_206])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_42, plain,
% 0.20/0.43 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) |
% 0.20/0.43 ~ iLEQ(suc(z), suc(z)) | 'E'(f(z), f(suc(suc(z))))),
% 0.20/0.43 inference(resolve, [$cnf('E'(f(z), f(suc(z))))],
% 0.20/0.43 [refute_0_41, refute_0_9])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_43, plain,
% 0.20/0.43 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) |
% 0.20/0.43 ~ iLEQ(suc(z), suc(z)) | 'E'(f(z), f(suc(suc(z))))),
% 0.20/0.43 inference(resolve, [$cnf('E'(0, f(z)))], [refute_0_14, refute_0_42])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_44, plain,
% 0.20/0.43 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) |
% 0.20/0.43 'E'(f(z), f(suc(suc(z))))),
% 0.20/0.43 inference(resolve, [$cnf(iLEQ(suc(z), suc(z)))],
% 0.20/0.43 [refute_0_37, refute_0_43])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_45, plain,
% 0.20/0.43 (~ 'E'(0, f(suc(z))) | 'E'(f(z), f(suc(suc(z)))) | 'LE'(f(z), 0)),
% 0.20/0.43 inference(resolve, [$cnf('E'(0, f(suc(suc(z)))))],
% 0.20/0.43 [refute_0_5, refute_0_44])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_46, plain, (~ 'E'(0, f(suc(z))) | 'E'(f(z), f(suc(suc(z))))),
% 0.20/0.43 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_45, clause_206])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_47, plain, ('E'(f(z), f(suc(suc(z)))) | 'LE'(f(z), 0)),
% 0.20/0.43 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 0.20/0.43 [refute_0_2, refute_0_46])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_48, plain, ('E'(f(z), f(suc(suc(z))))),
% 0.20/0.43 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_47, clause_206])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_49, plain,
% 0.20/0.43 (~ 'E'(0, f(suc(suc(suc(z))))) | ~ 'E'(0, f(suc(suc(z)))) |
% 0.20/0.43 ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) | ~ 'E'(f(z), f(suc(suc(z)))) |
% 0.20/0.43 ~ 'E'(f(z), f(suc(z))) | ~ iLEQ(suc(z), suc(z))),
% 0.20/0.43 inference(subst, [],
% 0.20/0.43 [clause_135 :
% 0.20/0.43 [bind(A_1, $fot(z)), bind(B_6, $fot(z)),
% 0.20/0.43 bind(B_7, $fot(z))]])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_50, plain,
% 0.20/0.43 (~ 'E'(0, f(suc(suc(suc(z))))) | ~ 'E'(0, f(suc(suc(z)))) |
% 0.20/0.43 ~ 'E'(0, f(suc(z))) | ~ 'E'(0, f(z)) | ~ 'E'(f(z), f(suc(z))) |
% 0.20/0.43 ~ iLEQ(suc(z), suc(z))),
% 0.20/0.43 inference(resolve, [$cnf('E'(f(z), f(suc(suc(z)))))],
% 0.20/0.43 [refute_0_48, refute_0_49])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_51, plain,
% 0.20/0.43 (~ 'E'(0, f(suc(suc(suc(z))))) | ~ 'E'(0, f(suc(suc(z)))) |
% 0.20/0.43 ~ 'E'(0, f(suc(z))) | ~ 'E'(f(z), f(suc(z))) |
% 0.20/0.43 ~ iLEQ(suc(z), suc(z))),
% 0.20/0.43 inference(resolve, [$cnf('E'(0, f(z)))], [refute_0_14, refute_0_50])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_52, plain,
% 0.20/0.43 (~ 'E'(0, f(suc(suc(suc(z))))) | ~ 'E'(0, f(suc(suc(z)))) |
% 0.20/0.43 ~ 'E'(0, f(suc(z))) | ~ iLEQ(suc(z), suc(z))),
% 0.20/0.43 inference(resolve, [$cnf('E'(f(z), f(suc(z))))],
% 0.20/0.43 [refute_0_41, refute_0_51])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_53, plain,
% 0.20/0.43 (~ 'E'(0, f(suc(suc(suc(z))))) | ~ 'E'(0, f(suc(suc(z)))) |
% 0.20/0.43 ~ 'E'(0, f(suc(z)))),
% 0.20/0.43 inference(resolve, [$cnf(iLEQ(suc(z), suc(z)))],
% 0.20/0.43 [refute_0_37, refute_0_52])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_54, plain,
% 0.20/0.43 (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z))) | 'LE'(f(z), 0)),
% 0.20/0.43 inference(resolve, [$cnf('E'(0, f(suc(suc(suc(z))))))],
% 0.20/0.43 [refute_0_8, refute_0_53])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_55, plain, (~ 'E'(0, f(suc(suc(z)))) | ~ 'E'(0, f(suc(z)))),
% 0.20/0.43 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_54, clause_206])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_56, plain, (~ 'E'(0, f(suc(z))) | 'LE'(f(z), 0)),
% 0.20/0.43 inference(resolve, [$cnf('E'(0, f(suc(suc(z)))))],
% 0.20/0.43 [refute_0_5, refute_0_55])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_57, plain, (~ 'E'(0, f(suc(z)))),
% 0.20/0.43 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_56, clause_206])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_58, plain, ('LE'(f(z), 0)),
% 0.20/0.43 inference(resolve, [$cnf('E'(0, f(suc(z))))],
% 0.20/0.43 [refute_0_2, refute_0_57])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_59, plain, ($false),
% 0.20/0.43 inference(resolve, [$cnf('LE'(f(z), 0))], [refute_0_58, clause_206])).
% 0.20/0.43 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.43
%------------------------------------------------------------------------------