TSTP Solution File: SYO634-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYO634-1 : TPTP v8.1.0. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n023.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 18:40:34 EDT 2022
% Result : Unsatisfiable 0.20s 0.40s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO634-1 : TPTP v8.1.0. Released v7.1.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n023.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 07:13:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.40 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.40
% 0.20/0.40 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.41 cnf(clause_21_01, axiom,
% 0.20/0.41 (~ 'E'(f(A_0), s(s(s(s(s(s(s(s(s(0)))))))))) |
% 0.20/0.41 ~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) |
% 0.20/0.41 'E'(f(B_0), s(s(s(s(s(s(s(s(0))))))))))).
% 0.20/0.41
% 0.20/0.41 cnf(clause_11_03, axiom, ('E'(f(B), s(s(s(s(s(s(s(s(s(s(0))))))))))))).
% 0.20/0.41
% 0.20/0.41 cnf(clause_1_06, axiom,
% 0.20/0.41 (~ 'E'(f(A_0), s(s(s(s(s(s(s(s(s(0)))))))))) |
% 0.20/0.41 ~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) |
% 0.20/0.41 ~ 'E'(f(A_1), s(s(s(s(s(s(s(s(0))))))))) |
% 0.20/0.41 ~ 'E'(f(A_2), s(s(s(s(s(s(s(0)))))))) |
% 0.20/0.41 'E'(f(B_0), s(s(s(s(s(s(0))))))))).
% 0.20/0.41
% 0.20/0.41 cnf(clause_17_09, axiom, ('E'(f(B_0), s(s(s(s(s(s(s(s(s(0)))))))))))).
% 0.20/0.41
% 0.20/0.41 cnf(clause_8_11, axiom,
% 0.20/0.41 (~ 'E'(f(A_1), s(s(s(s(s(s(s(s(0))))))))) |
% 0.20/0.41 ~ 'E'(f(A_4), s(s(s(s(s(0)))))) |
% 0.20/0.41 ~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) |
% 0.20/0.41 ~ 'E'(f(A_5), s(s(s(s(0))))) | ~ 'E'(f(A_7), s(s(0))) |
% 0.20/0.41 ~ 'E'(f(A_2), s(s(s(s(s(s(s(0)))))))) | ~ 'E'(f(A_6), s(s(s(0)))) |
% 0.20/0.41 ~ 'E'(f(A_0), s(s(s(s(s(s(s(s(s(0)))))))))) |
% 0.20/0.41 ~ 'E'(f(A_3), s(s(s(s(s(s(0))))))) |
% 0.20/0.41 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), s(0)))).
% 0.20/0.41
% 0.20/0.41 cnf(clause_9_12, axiom,
% 0.20/0.41 (~ 'E'(f(A_1), s(s(s(s(s(s(s(s(0))))))))) |
% 0.20/0.41 ~ 'E'(f(A_4), s(s(s(s(s(0)))))) |
% 0.20/0.41 ~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) |
% 0.20/0.41 ~ 'E'(f(A_2), s(s(s(s(s(s(s(0)))))))) |
% 0.20/0.41 ~ 'E'(f(A_0), s(s(s(s(s(s(s(s(s(0)))))))))) |
% 0.20/0.41 ~ 'E'(f(A_3), s(s(s(s(s(s(0))))))) |
% 0.20/0.41 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), s(s(s(s(0))))))).
% 0.20/0.41
% 0.20/0.41 cnf(clause_12_14, axiom,
% 0.20/0.41 (~ 'E'(f(A_0), s(s(s(s(s(s(s(s(s(0)))))))))) |
% 0.20/0.41 ~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) |
% 0.20/0.41 ~ 'E'(f(A_1), s(s(s(s(s(s(s(s(0))))))))) |
% 0.20/0.41 'E'(f(B_0), s(s(s(s(s(s(s(0)))))))))).
% 0.20/0.41
% 0.20/0.41 cnf(clause_18_15, axiom,
% 0.20/0.41 (~ 'E'(f(A_1), s(s(s(s(s(s(s(s(0))))))))) |
% 0.20/0.41 ~ 'E'(f(A_4), s(s(s(s(s(0)))))) |
% 0.20/0.41 ~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) |
% 0.20/0.41 ~ 'E'(f(A_5), s(s(s(s(0))))) | ~ 'E'(f(A_2), s(s(s(s(s(s(s(0)))))))) |
% 0.20/0.41 ~ 'E'(f(A_0), s(s(s(s(s(s(s(s(s(0)))))))))) |
% 0.20/0.41 ~ 'E'(f(A_3), s(s(s(s(s(s(0))))))) |
% 0.20/0.41 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), s(s(s(0)))))).
% 0.20/0.41
% 0.20/0.41 cnf(clause_3_17, axiom,
% 0.20/0.41 (~ 'E'(f(A_1), s(s(s(s(s(s(s(s(0))))))))) |
% 0.20/0.41 ~ 'E'(f(A_4), s(s(s(s(s(0)))))) | ~ 'E'(f(A_8), s(0)) |
% 0.20/0.41 ~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) |
% 0.20/0.41 ~ 'E'(f(A_5), s(s(s(s(0))))) | ~ 'E'(f(A_7), s(s(0))) |
% 0.20/0.41 ~ 'E'(f(A_2), s(s(s(s(s(s(s(0)))))))) | ~ 'E'(f(A_6), s(s(s(0)))) |
% 0.20/0.41 ~ 'E'(f(A_0), s(s(s(s(s(s(s(s(s(0)))))))))) |
% 0.20/0.41 ~ 'E'(f(A_3), s(s(s(s(s(s(0))))))) | ~ 'E'(f(A_9), 0))).
% 0.20/0.41
% 0.20/0.41 cnf(clause_0_19, axiom,
% 0.20/0.41 (~ 'E'(f(A_1), s(s(s(s(s(s(s(s(0))))))))) |
% 0.20/0.41 ~ 'E'(f(A_4), s(s(s(s(s(0)))))) |
% 0.20/0.41 ~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) |
% 0.20/0.41 ~ 'E'(f(A_5), s(s(s(s(0))))) | ~ 'E'(f(A_2), s(s(s(s(s(s(s(0)))))))) |
% 0.20/0.41 ~ 'E'(f(A_6), s(s(s(0)))) |
% 0.20/0.41 ~ 'E'(f(A_0), s(s(s(s(s(s(s(s(s(0)))))))))) |
% 0.20/0.41 ~ 'E'(f(A_3), s(s(s(s(s(s(0))))))) |
% 0.20/0.41 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), s(s(0))))).
% 0.20/0.41
% 0.20/0.41 cnf(clause_15_20, axiom,
% 0.20/0.41 (~ 'E'(f(A_1), s(s(s(s(s(s(s(s(0))))))))) |
% 0.20/0.41 ~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) |
% 0.20/0.41 ~ 'E'(f(A_2), s(s(s(s(s(s(s(0)))))))) |
% 0.20/0.41 ~ 'E'(f(A_0), s(s(s(s(s(s(s(s(s(0)))))))))) |
% 0.20/0.41 ~ 'E'(f(A_3), s(s(s(s(s(s(0))))))) | 'E'(f(B_0), s(s(s(s(s(0)))))))).
% 0.20/0.41
% 0.20/0.41 cnf(clause_10_22, axiom,
% 0.20/0.41 (~ 'E'(f(A_1), s(s(s(s(s(s(s(s(0))))))))) |
% 0.20/0.41 ~ 'E'(f(A_4), s(s(s(s(s(0)))))) | ~ 'E'(f(A_8), s(0)) |
% 0.20/0.41 ~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) |
% 0.20/0.41 ~ 'E'(f(A_5), s(s(s(s(0))))) | ~ 'E'(f(A_7), s(s(0))) |
% 0.20/0.41 ~ 'E'(f(A_2), s(s(s(s(s(s(s(0)))))))) | ~ 'E'(f(A_6), s(s(s(0)))) |
% 0.20/0.41 ~ 'E'(f(A_0), s(s(s(s(s(s(s(s(s(0)))))))))) |
% 0.20/0.41 ~ 'E'(f(A_3), s(s(s(s(s(s(0))))))) |
% 0.20/0.41 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), 0))).
% 0.20/0.41
% 0.20/0.41 cnf(refute_0_0, plain, ('E'(f(A_0), s(s(s(s(s(s(s(s(s(0))))))))))),
% 0.20/0.41 inference(subst, [], [clause_17_09 : [bind(B_0, $fot(A_0))]])).
% 0.20/0.41
% 0.20/0.41 cnf(refute_0_1, plain,
% 0.20/0.41 (~ 'E'(f(A_1), s(s(s(s(s(s(s(s(0))))))))) |
% 0.20/0.41 ~ 'E'(f(A_2), s(s(s(s(s(s(s(0)))))))) |
% 0.20/0.41 ~ 'E'(f(A_3), s(s(s(s(s(s(0))))))) | ~ 'E'(f(A_4), s(s(s(s(s(0)))))) |
% 0.20/0.41 ~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) |
% 0.20/0.41 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), s(s(s(s(0)))))),
% 0.20/0.41 inference(resolve, [$cnf('E'(f(A_0), s(s(s(s(s(s(s(s(s(0)))))))))))],
% 0.20/0.41 [refute_0_0, clause_9_12])).
% 0.20/0.41
% 0.20/0.41 cnf(refute_0_2, plain,
% 0.20/0.41 (~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) |
% 0.20/0.41 'E'(f(B_0), s(s(s(s(s(s(s(s(0)))))))))),
% 0.20/0.41 inference(resolve, [$cnf('E'(f(A_0), s(s(s(s(s(s(s(s(s(0)))))))))))],
% 0.20/0.41 [refute_0_0, clause_21_01])).
% 0.20/0.41
% 0.20/0.41 cnf(refute_0_3, plain, ('E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0)))))))))))),
% 0.20/0.41 inference(subst, [], [clause_11_03 : [bind(B, $fot(B_0))]])).
% 0.20/0.41
% 0.20/0.41 cnf(refute_0_4, plain, ('E'(f(B_0), s(s(s(s(s(s(s(s(0)))))))))),
% 0.20/0.41 inference(resolve,
% 0.20/0.41 [$cnf('E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))))],
% 0.20/0.41 [refute_0_3, refute_0_2])).
% 0.20/0.41
% 0.20/0.41 cnf(refute_0_5, plain, ('E'(f(A_1), s(s(s(s(s(s(s(s(0)))))))))),
% 0.20/0.41 inference(subst, [], [refute_0_4 : [bind(B_0, $fot(A_1))]])).
% 0.20/0.41
% 0.20/0.41 cnf(refute_0_6, plain,
% 0.20/0.41 (~ 'E'(f(A_2), s(s(s(s(s(s(s(0)))))))) |
% 0.20/0.41 ~ 'E'(f(A_3), s(s(s(s(s(s(0))))))) | ~ 'E'(f(A_4), s(s(s(s(s(0)))))) |
% 0.20/0.41 ~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) |
% 0.20/0.41 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), s(s(s(s(0)))))),
% 0.20/0.41 inference(resolve, [$cnf('E'(f(A_1), s(s(s(s(s(s(s(s(0))))))))))],
% 0.20/0.41 [refute_0_5, refute_0_1])).
% 0.20/0.41
% 0.20/0.41 cnf(refute_0_7, plain,
% 0.20/0.41 (~ 'E'(f(A_1), s(s(s(s(s(s(s(s(0))))))))) |
% 0.20/0.41 ~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) |
% 0.20/0.41 'E'(f(B_0), s(s(s(s(s(s(s(0))))))))),
% 0.20/0.41 inference(resolve, [$cnf('E'(f(A_0), s(s(s(s(s(s(s(s(s(0)))))))))))],
% 0.20/0.41 [refute_0_0, clause_12_14])).
% 0.20/0.41
% 0.20/0.41 cnf(refute_0_8, plain,
% 0.20/0.41 (~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) |
% 0.20/0.41 'E'(f(B_0), s(s(s(s(s(s(s(0))))))))),
% 0.20/0.41 inference(resolve, [$cnf('E'(f(A_1), s(s(s(s(s(s(s(s(0))))))))))],
% 0.20/0.41 [refute_0_5, refute_0_7])).
% 0.20/0.41
% 0.20/0.41 cnf(refute_0_9, plain, ('E'(f(B_0), s(s(s(s(s(s(s(0))))))))),
% 0.20/0.41 inference(resolve,
% 0.20/0.41 [$cnf('E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))))],
% 0.20/0.41 [refute_0_3, refute_0_8])).
% 0.20/0.41
% 0.20/0.41 cnf(refute_0_10, plain, ('E'(f(A_2), s(s(s(s(s(s(s(0))))))))),
% 0.20/0.41 inference(subst, [], [refute_0_9 : [bind(B_0, $fot(A_2))]])).
% 0.20/0.41
% 0.20/0.41 cnf(refute_0_11, plain,
% 0.20/0.41 (~ 'E'(f(A_3), s(s(s(s(s(s(0))))))) | ~ 'E'(f(A_4), s(s(s(s(s(0)))))) |
% 0.20/0.41 ~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) |
% 0.20/0.41 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), s(s(s(s(0)))))),
% 0.20/0.41 inference(resolve, [$cnf('E'(f(A_2), s(s(s(s(s(s(s(0)))))))))],
% 0.20/0.41 [refute_0_10, refute_0_6])).
% 0.20/0.41
% 0.20/0.41 cnf(refute_0_12, plain,
% 0.20/0.41 (~ 'E'(f(A_1), s(s(s(s(s(s(s(s(0))))))))) |
% 0.20/0.41 ~ 'E'(f(A_2), s(s(s(s(s(s(s(0)))))))) |
% 0.20/0.41 ~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) |
% 0.20/0.41 'E'(f(B_0), s(s(s(s(s(s(0)))))))),
% 0.20/0.41 inference(resolve, [$cnf('E'(f(A_0), s(s(s(s(s(s(s(s(s(0)))))))))))],
% 0.20/0.41 [refute_0_0, clause_1_06])).
% 0.20/0.41
% 0.20/0.41 cnf(refute_0_13, plain,
% 0.20/0.41 (~ 'E'(f(A_2), s(s(s(s(s(s(s(0)))))))) |
% 0.20/0.41 ~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) |
% 0.20/0.41 'E'(f(B_0), s(s(s(s(s(s(0)))))))),
% 0.20/0.41 inference(resolve, [$cnf('E'(f(A_1), s(s(s(s(s(s(s(s(0))))))))))],
% 0.20/0.41 [refute_0_5, refute_0_12])).
% 0.20/0.41
% 0.20/0.41 cnf(refute_0_14, plain,
% 0.20/0.41 (~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) |
% 0.20/0.41 'E'(f(B_0), s(s(s(s(s(s(0)))))))),
% 0.20/0.41 inference(resolve, [$cnf('E'(f(A_2), s(s(s(s(s(s(s(0)))))))))],
% 0.20/0.41 [refute_0_10, refute_0_13])).
% 0.20/0.41
% 0.20/0.41 cnf(refute_0_15, plain, ('E'(f(B_0), s(s(s(s(s(s(0)))))))),
% 0.20/0.41 inference(resolve,
% 0.20/0.41 [$cnf('E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))))],
% 0.20/0.41 [refute_0_3, refute_0_14])).
% 0.20/0.41
% 0.20/0.41 cnf(refute_0_16, plain, ('E'(f(A_3), s(s(s(s(s(s(0)))))))),
% 0.20/0.41 inference(subst, [], [refute_0_15 : [bind(B_0, $fot(A_3))]])).
% 0.20/0.41
% 0.20/0.41 cnf(refute_0_17, plain,
% 0.20/0.41 (~ 'E'(f(A_4), s(s(s(s(s(0)))))) |
% 0.20/0.41 ~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) |
% 0.20/0.41 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), s(s(s(s(0)))))),
% 0.20/0.41 inference(resolve, [$cnf('E'(f(A_3), s(s(s(s(s(s(0))))))))],
% 0.20/0.41 [refute_0_16, refute_0_11])).
% 0.20/0.41
% 0.20/0.41 cnf(refute_0_18, plain,
% 0.20/0.41 (~ 'E'(f(A_1), s(s(s(s(s(s(s(s(0))))))))) |
% 0.20/0.41 ~ 'E'(f(A_2), s(s(s(s(s(s(s(0)))))))) |
% 0.20/0.41 ~ 'E'(f(A_3), s(s(s(s(s(s(0))))))) |
% 0.20/0.41 ~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) |
% 0.20/0.41 'E'(f(B_0), s(s(s(s(s(0))))))),
% 0.20/0.41 inference(resolve, [$cnf('E'(f(A_0), s(s(s(s(s(s(s(s(s(0)))))))))))],
% 0.20/0.41 [refute_0_0, clause_15_20])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_19, plain,
% 0.20/0.42 (~ 'E'(f(A_2), s(s(s(s(s(s(s(0)))))))) |
% 0.20/0.42 ~ 'E'(f(A_3), s(s(s(s(s(s(0))))))) |
% 0.20/0.42 ~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) |
% 0.20/0.42 'E'(f(B_0), s(s(s(s(s(0))))))),
% 0.20/0.42 inference(resolve, [$cnf('E'(f(A_1), s(s(s(s(s(s(s(s(0))))))))))],
% 0.20/0.42 [refute_0_5, refute_0_18])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_20, plain,
% 0.20/0.42 (~ 'E'(f(A_3), s(s(s(s(s(s(0))))))) |
% 0.20/0.42 ~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) |
% 0.20/0.42 'E'(f(B_0), s(s(s(s(s(0))))))),
% 0.20/0.42 inference(resolve, [$cnf('E'(f(A_2), s(s(s(s(s(s(s(0)))))))))],
% 0.20/0.42 [refute_0_10, refute_0_19])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_21, plain,
% 0.20/0.42 (~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) |
% 0.20/0.42 'E'(f(B_0), s(s(s(s(s(0))))))),
% 0.20/0.42 inference(resolve, [$cnf('E'(f(A_3), s(s(s(s(s(s(0))))))))],
% 0.20/0.42 [refute_0_16, refute_0_20])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_22, plain, ('E'(f(B_0), s(s(s(s(s(0))))))),
% 0.20/0.42 inference(resolve,
% 0.20/0.42 [$cnf('E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))))],
% 0.20/0.42 [refute_0_3, refute_0_21])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_23, plain, ('E'(f(A_4), s(s(s(s(s(0))))))),
% 0.20/0.42 inference(subst, [], [refute_0_22 : [bind(B_0, $fot(A_4))]])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_24, plain,
% 0.20/0.42 (~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) |
% 0.20/0.42 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), s(s(s(s(0)))))),
% 0.20/0.42 inference(resolve, [$cnf('E'(f(A_4), s(s(s(s(s(0)))))))],
% 0.20/0.42 [refute_0_23, refute_0_17])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_25, plain,
% 0.20/0.42 ('E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), s(s(s(s(0)))))),
% 0.20/0.42 inference(resolve,
% 0.20/0.42 [$cnf('E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))))],
% 0.20/0.42 [refute_0_3, refute_0_24])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_26, plain,
% 0.20/0.42 (~ 'E'(f(A_1), s(s(s(s(s(s(s(s(0))))))))) |
% 0.20/0.42 ~ 'E'(f(A_2), s(s(s(s(s(s(s(0)))))))) |
% 0.20/0.42 ~ 'E'(f(A_3), s(s(s(s(s(s(0))))))) | ~ 'E'(f(A_4), s(s(s(s(s(0)))))) |
% 0.20/0.42 ~ 'E'(f(A_5), s(s(s(s(0))))) |
% 0.20/0.42 ~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) |
% 0.20/0.42 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), s(s(s(0))))),
% 0.20/0.42 inference(resolve, [$cnf('E'(f(A_0), s(s(s(s(s(s(s(s(s(0)))))))))))],
% 0.20/0.42 [refute_0_0, clause_18_15])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_27, plain,
% 0.20/0.42 (~ 'E'(f(A_2), s(s(s(s(s(s(s(0)))))))) |
% 0.20/0.42 ~ 'E'(f(A_3), s(s(s(s(s(s(0))))))) | ~ 'E'(f(A_4), s(s(s(s(s(0)))))) |
% 0.20/0.42 ~ 'E'(f(A_5), s(s(s(s(0))))) |
% 0.20/0.42 ~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) |
% 0.20/0.42 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), s(s(s(0))))),
% 0.20/0.42 inference(resolve, [$cnf('E'(f(A_1), s(s(s(s(s(s(s(s(0))))))))))],
% 0.20/0.42 [refute_0_5, refute_0_26])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_28, plain,
% 0.20/0.42 (~ 'E'(f(A_3), s(s(s(s(s(s(0))))))) | ~ 'E'(f(A_4), s(s(s(s(s(0)))))) |
% 0.20/0.42 ~ 'E'(f(A_5), s(s(s(s(0))))) |
% 0.20/0.42 ~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) |
% 0.20/0.42 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), s(s(s(0))))),
% 0.20/0.42 inference(resolve, [$cnf('E'(f(A_2), s(s(s(s(s(s(s(0)))))))))],
% 0.20/0.42 [refute_0_10, refute_0_27])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_29, plain,
% 0.20/0.42 (~ 'E'(f(A_4), s(s(s(s(s(0)))))) | ~ 'E'(f(A_5), s(s(s(s(0))))) |
% 0.20/0.42 ~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) |
% 0.20/0.42 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), s(s(s(0))))),
% 0.20/0.42 inference(resolve, [$cnf('E'(f(A_3), s(s(s(s(s(s(0))))))))],
% 0.20/0.42 [refute_0_16, refute_0_28])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_30, plain,
% 0.20/0.42 (~ 'E'(f(A_5), s(s(s(s(0))))) |
% 0.20/0.42 ~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) |
% 0.20/0.42 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), s(s(s(0))))),
% 0.20/0.42 inference(resolve, [$cnf('E'(f(A_4), s(s(s(s(s(0)))))))],
% 0.20/0.42 [refute_0_23, refute_0_29])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_31, plain,
% 0.20/0.42 (~ 'E'(f(A_5), s(s(s(s(0))))) |
% 0.20/0.42 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), s(s(s(0))))),
% 0.20/0.42 inference(resolve,
% 0.20/0.42 [$cnf('E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))))],
% 0.20/0.42 [refute_0_3, refute_0_30])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_32, plain,
% 0.20/0.42 (~ 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), s(s(s(s(0))))) |
% 0.20/0.42 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), X_21)), s(s(s(0))))),
% 0.20/0.42 inference(subst, [],
% 0.20/0.42 [refute_0_31 :
% 0.20/0.42 [bind(A_5,
% 0.20/0.42 $fot('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K))),
% 0.20/0.42 bind(K, $fot(X_21))]])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_33, plain,
% 0.20/0.42 ('E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), X_21)), s(s(s(0))))),
% 0.20/0.42 inference(resolve,
% 0.20/0.42 [$cnf('E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)),
% 0.20/0.42 s(s(s(s(0))))))], [refute_0_25, refute_0_32])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_34, plain,
% 0.20/0.42 (~ 'E'(f(A_1), s(s(s(s(s(s(s(s(0))))))))) |
% 0.20/0.42 ~ 'E'(f(A_2), s(s(s(s(s(s(s(0)))))))) |
% 0.20/0.42 ~ 'E'(f(A_3), s(s(s(s(s(s(0))))))) | ~ 'E'(f(A_4), s(s(s(s(s(0)))))) |
% 0.20/0.42 ~ 'E'(f(A_5), s(s(s(s(0))))) | ~ 'E'(f(A_6), s(s(s(0)))) |
% 0.20/0.42 ~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) |
% 0.20/0.42 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), s(s(0)))),
% 0.20/0.42 inference(resolve, [$cnf('E'(f(A_0), s(s(s(s(s(s(s(s(s(0)))))))))))],
% 0.20/0.42 [refute_0_0, clause_0_19])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_35, plain,
% 0.20/0.42 (~ 'E'(f(A_2), s(s(s(s(s(s(s(0)))))))) |
% 0.20/0.42 ~ 'E'(f(A_3), s(s(s(s(s(s(0))))))) | ~ 'E'(f(A_4), s(s(s(s(s(0)))))) |
% 0.20/0.42 ~ 'E'(f(A_5), s(s(s(s(0))))) | ~ 'E'(f(A_6), s(s(s(0)))) |
% 0.20/0.42 ~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) |
% 0.20/0.42 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), s(s(0)))),
% 0.20/0.42 inference(resolve, [$cnf('E'(f(A_1), s(s(s(s(s(s(s(s(0))))))))))],
% 0.20/0.42 [refute_0_5, refute_0_34])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_36, plain,
% 0.20/0.42 (~ 'E'(f(A_3), s(s(s(s(s(s(0))))))) | ~ 'E'(f(A_4), s(s(s(s(s(0)))))) |
% 0.20/0.42 ~ 'E'(f(A_5), s(s(s(s(0))))) | ~ 'E'(f(A_6), s(s(s(0)))) |
% 0.20/0.42 ~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) |
% 0.20/0.42 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), s(s(0)))),
% 0.20/0.42 inference(resolve, [$cnf('E'(f(A_2), s(s(s(s(s(s(s(0)))))))))],
% 0.20/0.42 [refute_0_10, refute_0_35])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_37, plain,
% 0.20/0.42 (~ 'E'(f(A_4), s(s(s(s(s(0)))))) | ~ 'E'(f(A_5), s(s(s(s(0))))) |
% 0.20/0.42 ~ 'E'(f(A_6), s(s(s(0)))) |
% 0.20/0.42 ~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) |
% 0.20/0.42 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), s(s(0)))),
% 0.20/0.42 inference(resolve, [$cnf('E'(f(A_3), s(s(s(s(s(s(0))))))))],
% 0.20/0.42 [refute_0_16, refute_0_36])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_38, plain,
% 0.20/0.42 (~ 'E'(f(A_5), s(s(s(s(0))))) | ~ 'E'(f(A_6), s(s(s(0)))) |
% 0.20/0.42 ~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) |
% 0.20/0.42 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), s(s(0)))),
% 0.20/0.42 inference(resolve, [$cnf('E'(f(A_4), s(s(s(s(s(0)))))))],
% 0.20/0.42 [refute_0_23, refute_0_37])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_39, plain,
% 0.20/0.42 (~ 'E'(f(A_5), s(s(s(s(0))))) | ~ 'E'(f(A_6), s(s(s(0)))) |
% 0.20/0.42 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), s(s(0)))),
% 0.20/0.42 inference(resolve,
% 0.20/0.42 [$cnf('E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))))],
% 0.20/0.42 [refute_0_3, refute_0_38])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_40, plain,
% 0.20/0.42 (~ 'E'(f(X_31), s(s(s(0)))) |
% 0.20/0.42 ~ 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), s(s(s(s(0))))) |
% 0.20/0.42 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), X_32)), s(s(0)))),
% 0.20/0.42 inference(subst, [],
% 0.20/0.42 [refute_0_39 :
% 0.20/0.42 [bind(A_5,
% 0.20/0.42 $fot('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K))),
% 0.20/0.42 bind(A_6, $fot(X_31)), bind(K, $fot(X_32))]])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_41, plain,
% 0.20/0.42 (~ 'E'(f(X_31), s(s(s(0)))) |
% 0.20/0.42 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), X_32)), s(s(0)))),
% 0.20/0.42 inference(resolve,
% 0.20/0.42 [$cnf('E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)),
% 0.20/0.42 s(s(s(s(0))))))], [refute_0_25, refute_0_40])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_42, plain,
% 0.20/0.42 (~ 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), X_21)), s(s(s(0)))) |
% 0.20/0.42 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), X_34)), s(s(0)))),
% 0.20/0.42 inference(subst, [],
% 0.20/0.42 [refute_0_41 :
% 0.20/0.42 [bind(X_31,
% 0.20/0.42 $fot('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), X_21))),
% 0.20/0.42 bind(X_32, $fot(X_34))]])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_43, plain,
% 0.20/0.42 ('E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), X_34)), s(s(0)))),
% 0.20/0.42 inference(resolve,
% 0.20/0.42 [$cnf('E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), X_21)),
% 0.20/0.42 s(s(s(0)))))], [refute_0_33, refute_0_42])).
% 0.20/0.42
% 0.20/0.42 cnf(refute_0_44, plain,
% 0.20/0.42 (~ 'E'(f(A_1), s(s(s(s(s(s(s(s(0))))))))) |
% 0.20/0.42 ~ 'E'(f(A_2), s(s(s(s(s(s(s(0)))))))) |
% 0.20/0.42 ~ 'E'(f(A_3), s(s(s(s(s(s(0))))))) | ~ 'E'(f(A_4), s(s(s(s(s(0)))))) |
% 0.20/0.42 ~ 'E'(f(A_5), s(s(s(s(0))))) | ~ 'E'(f(A_6), s(s(s(0)))) |
% 0.20/0.42 ~ 'E'(f(A_7), s(s(0))) |
% 0.20/0.42 ~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) |
% 0.20/0.42 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), s(0))),
% 0.20/0.42 inference(resolve, [$cnf('E'(f(A_0), s(s(s(s(s(s(s(s(s(0)))))))))))],
% 0.20/0.42 [refute_0_0, clause_8_11])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_45, plain,
% 0.20/0.43 (~ 'E'(f(A_2), s(s(s(s(s(s(s(0)))))))) |
% 0.20/0.43 ~ 'E'(f(A_3), s(s(s(s(s(s(0))))))) | ~ 'E'(f(A_4), s(s(s(s(s(0)))))) |
% 0.20/0.43 ~ 'E'(f(A_5), s(s(s(s(0))))) | ~ 'E'(f(A_6), s(s(s(0)))) |
% 0.20/0.43 ~ 'E'(f(A_7), s(s(0))) |
% 0.20/0.43 ~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) |
% 0.20/0.43 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), s(0))),
% 0.20/0.43 inference(resolve, [$cnf('E'(f(A_1), s(s(s(s(s(s(s(s(0))))))))))],
% 0.20/0.43 [refute_0_5, refute_0_44])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_46, plain,
% 0.20/0.43 (~ 'E'(f(A_3), s(s(s(s(s(s(0))))))) | ~ 'E'(f(A_4), s(s(s(s(s(0)))))) |
% 0.20/0.43 ~ 'E'(f(A_5), s(s(s(s(0))))) | ~ 'E'(f(A_6), s(s(s(0)))) |
% 0.20/0.43 ~ 'E'(f(A_7), s(s(0))) |
% 0.20/0.43 ~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) |
% 0.20/0.43 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), s(0))),
% 0.20/0.43 inference(resolve, [$cnf('E'(f(A_2), s(s(s(s(s(s(s(0)))))))))],
% 0.20/0.43 [refute_0_10, refute_0_45])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_47, plain,
% 0.20/0.43 (~ 'E'(f(A_4), s(s(s(s(s(0)))))) | ~ 'E'(f(A_5), s(s(s(s(0))))) |
% 0.20/0.43 ~ 'E'(f(A_6), s(s(s(0)))) | ~ 'E'(f(A_7), s(s(0))) |
% 0.20/0.43 ~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) |
% 0.20/0.43 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), s(0))),
% 0.20/0.43 inference(resolve, [$cnf('E'(f(A_3), s(s(s(s(s(s(0))))))))],
% 0.20/0.43 [refute_0_16, refute_0_46])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_48, plain,
% 0.20/0.43 (~ 'E'(f(A_5), s(s(s(s(0))))) | ~ 'E'(f(A_6), s(s(s(0)))) |
% 0.20/0.43 ~ 'E'(f(A_7), s(s(0))) |
% 0.20/0.43 ~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) |
% 0.20/0.43 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), s(0))),
% 0.20/0.43 inference(resolve, [$cnf('E'(f(A_4), s(s(s(s(s(0)))))))],
% 0.20/0.43 [refute_0_23, refute_0_47])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_49, plain,
% 0.20/0.43 (~ 'E'(f(A_5), s(s(s(s(0))))) | ~ 'E'(f(A_6), s(s(s(0)))) |
% 0.20/0.43 ~ 'E'(f(A_7), s(s(0))) |
% 0.20/0.43 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), s(0))),
% 0.20/0.43 inference(resolve,
% 0.20/0.43 [$cnf('E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))))],
% 0.20/0.43 [refute_0_3, refute_0_48])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_50, plain,
% 0.20/0.43 (~ 'E'(f(X_49), s(s(s(0)))) | ~ 'E'(f(X_50), s(s(0))) |
% 0.20/0.43 ~ 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), s(s(s(s(0))))) |
% 0.20/0.43 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), X_51)), s(0))),
% 0.20/0.43 inference(subst, [],
% 0.20/0.43 [refute_0_49 :
% 0.20/0.43 [bind(A_5,
% 0.20/0.43 $fot('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K))),
% 0.20/0.43 bind(A_6, $fot(X_49)), bind(A_7, $fot(X_50)),
% 0.20/0.43 bind(K, $fot(X_51))]])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_51, plain,
% 0.20/0.43 (~ 'E'(f(X_49), s(s(s(0)))) | ~ 'E'(f(X_50), s(s(0))) |
% 0.20/0.43 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), X_51)), s(0))),
% 0.20/0.43 inference(resolve,
% 0.20/0.43 [$cnf('E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)),
% 0.20/0.43 s(s(s(s(0))))))], [refute_0_25, refute_0_50])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_52, plain,
% 0.20/0.43 (~ 'E'(f(X_53), s(s(0))) |
% 0.20/0.43 ~ 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), X_21)), s(s(s(0)))) |
% 0.20/0.43 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), X_54)), s(0))),
% 0.20/0.43 inference(subst, [],
% 0.20/0.43 [refute_0_51 :
% 0.20/0.43 [bind(X_49,
% 0.20/0.43 $fot('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), X_21))),
% 0.20/0.43 bind(X_50, $fot(X_53)), bind(X_51, $fot(X_54))]])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_53, plain,
% 0.20/0.43 (~ 'E'(f(X_53), s(s(0))) |
% 0.20/0.43 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), X_54)), s(0))),
% 0.20/0.43 inference(resolve,
% 0.20/0.43 [$cnf('E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), X_21)),
% 0.20/0.43 s(s(s(0)))))], [refute_0_33, refute_0_52])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_54, plain,
% 0.20/0.43 (~ 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), X_34)), s(s(0))) |
% 0.20/0.43 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), X_56)), s(0))),
% 0.20/0.43 inference(subst, [],
% 0.20/0.43 [refute_0_53 :
% 0.20/0.43 [bind(X_53,
% 0.20/0.43 $fot('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), X_34))),
% 0.20/0.43 bind(X_54, $fot(X_56))]])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_55, plain,
% 0.20/0.43 ('E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), X_56)), s(0))),
% 0.20/0.43 inference(resolve,
% 0.20/0.43 [$cnf('E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), X_34)),
% 0.20/0.43 s(s(0))))], [refute_0_43, refute_0_54])).
% 0.20/0.43
% 0.20/0.43 cnf(refute_0_56, plain,
% 0.20/0.43 (~ 'E'(f(A_1), s(s(s(s(s(s(s(s(0))))))))) |
% 0.20/0.43 ~ 'E'(f(A_2), s(s(s(s(s(s(s(0)))))))) |
% 0.20/0.43 ~ 'E'(f(A_3), s(s(s(s(s(s(0))))))) | ~ 'E'(f(A_4), s(s(s(s(s(0)))))) |
% 0.20/0.43 ~ 'E'(f(A_5), s(s(s(s(0))))) | ~ 'E'(f(A_6), s(s(s(0)))) |
% 0.20/0.43 ~ 'E'(f(A_7), s(s(0))) | ~ 'E'(f(A_8), s(0)) |
% 0.20/0.43 ~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) |
% 0.20/0.43 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), 0)),
% 0.20/0.43 inference(resolve, [$cnf('E'(f(A_0), s(s(s(s(s(s(s(s(s(0)))))))))))],
% 0.20/0.43 [refute_0_0, clause_10_22])).
% 0.20/0.44
% 0.20/0.44 cnf(refute_0_57, plain,
% 0.20/0.44 (~ 'E'(f(A_2), s(s(s(s(s(s(s(0)))))))) |
% 0.20/0.44 ~ 'E'(f(A_3), s(s(s(s(s(s(0))))))) | ~ 'E'(f(A_4), s(s(s(s(s(0)))))) |
% 0.20/0.44 ~ 'E'(f(A_5), s(s(s(s(0))))) | ~ 'E'(f(A_6), s(s(s(0)))) |
% 0.20/0.44 ~ 'E'(f(A_7), s(s(0))) | ~ 'E'(f(A_8), s(0)) |
% 0.20/0.44 ~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) |
% 0.20/0.44 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), 0)),
% 0.20/0.44 inference(resolve, [$cnf('E'(f(A_1), s(s(s(s(s(s(s(s(0))))))))))],
% 0.20/0.44 [refute_0_5, refute_0_56])).
% 0.20/0.44
% 0.20/0.44 cnf(refute_0_58, plain,
% 0.20/0.44 (~ 'E'(f(A_3), s(s(s(s(s(s(0))))))) | ~ 'E'(f(A_4), s(s(s(s(s(0)))))) |
% 0.20/0.44 ~ 'E'(f(A_5), s(s(s(s(0))))) | ~ 'E'(f(A_6), s(s(s(0)))) |
% 0.20/0.44 ~ 'E'(f(A_7), s(s(0))) | ~ 'E'(f(A_8), s(0)) |
% 0.20/0.44 ~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) |
% 0.20/0.44 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), 0)),
% 0.20/0.44 inference(resolve, [$cnf('E'(f(A_2), s(s(s(s(s(s(s(0)))))))))],
% 0.20/0.44 [refute_0_10, refute_0_57])).
% 0.20/0.44
% 0.20/0.44 cnf(refute_0_59, plain,
% 0.20/0.44 (~ 'E'(f(A_4), s(s(s(s(s(0)))))) | ~ 'E'(f(A_5), s(s(s(s(0))))) |
% 0.20/0.44 ~ 'E'(f(A_6), s(s(s(0)))) | ~ 'E'(f(A_7), s(s(0))) |
% 0.20/0.44 ~ 'E'(f(A_8), s(0)) | ~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) |
% 0.20/0.44 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), 0)),
% 0.20/0.44 inference(resolve, [$cnf('E'(f(A_3), s(s(s(s(s(s(0))))))))],
% 0.20/0.44 [refute_0_16, refute_0_58])).
% 0.20/0.44
% 0.20/0.44 cnf(refute_0_60, plain,
% 0.20/0.44 (~ 'E'(f(A_5), s(s(s(s(0))))) | ~ 'E'(f(A_6), s(s(s(0)))) |
% 0.20/0.44 ~ 'E'(f(A_7), s(s(0))) | ~ 'E'(f(A_8), s(0)) |
% 0.20/0.44 ~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) |
% 0.20/0.44 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), 0)),
% 0.20/0.44 inference(resolve, [$cnf('E'(f(A_4), s(s(s(s(s(0)))))))],
% 0.20/0.44 [refute_0_23, refute_0_59])).
% 0.20/0.44
% 0.20/0.44 cnf(refute_0_61, plain,
% 0.20/0.44 (~ 'E'(f(A_5), s(s(s(s(0))))) | ~ 'E'(f(A_6), s(s(s(0)))) |
% 0.20/0.44 ~ 'E'(f(A_7), s(s(0))) | ~ 'E'(f(A_8), s(0)) |
% 0.20/0.44 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), 0)),
% 0.20/0.44 inference(resolve,
% 0.20/0.44 [$cnf('E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))))],
% 0.20/0.44 [refute_0_3, refute_0_60])).
% 0.20/0.44
% 0.20/0.44 cnf(refute_0_62, plain,
% 0.20/0.44 (~ 'E'(f(A_1), s(s(s(s(s(s(s(s(0))))))))) |
% 0.20/0.44 ~ 'E'(f(A_2), s(s(s(s(s(s(s(0)))))))) |
% 0.20/0.44 ~ 'E'(f(A_3), s(s(s(s(s(s(0))))))) | ~ 'E'(f(A_4), s(s(s(s(s(0)))))) |
% 0.20/0.44 ~ 'E'(f(A_5), s(s(s(s(0))))) | ~ 'E'(f(A_6), s(s(s(0)))) |
% 0.20/0.44 ~ 'E'(f(A_7), s(s(0))) | ~ 'E'(f(A_8), s(0)) | ~ 'E'(f(A_9), 0) |
% 0.20/0.44 ~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0)))))))))))),
% 0.20/0.44 inference(resolve, [$cnf('E'(f(A_0), s(s(s(s(s(s(s(s(s(0)))))))))))],
% 0.20/0.44 [refute_0_0, clause_3_17])).
% 0.20/0.44
% 0.20/0.44 cnf(refute_0_63, plain,
% 0.20/0.44 (~ 'E'(f(A_2), s(s(s(s(s(s(s(0)))))))) |
% 0.20/0.44 ~ 'E'(f(A_3), s(s(s(s(s(s(0))))))) | ~ 'E'(f(A_4), s(s(s(s(s(0)))))) |
% 0.20/0.44 ~ 'E'(f(A_5), s(s(s(s(0))))) | ~ 'E'(f(A_6), s(s(s(0)))) |
% 0.20/0.44 ~ 'E'(f(A_7), s(s(0))) | ~ 'E'(f(A_8), s(0)) | ~ 'E'(f(A_9), 0) |
% 0.20/0.44 ~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0)))))))))))),
% 0.20/0.44 inference(resolve, [$cnf('E'(f(A_1), s(s(s(s(s(s(s(s(0))))))))))],
% 0.20/0.44 [refute_0_5, refute_0_62])).
% 0.20/0.44
% 0.20/0.44 cnf(refute_0_64, plain,
% 0.20/0.44 (~ 'E'(f(A_3), s(s(s(s(s(s(0))))))) | ~ 'E'(f(A_4), s(s(s(s(s(0)))))) |
% 0.20/0.44 ~ 'E'(f(A_5), s(s(s(s(0))))) | ~ 'E'(f(A_6), s(s(s(0)))) |
% 0.20/0.44 ~ 'E'(f(A_7), s(s(0))) | ~ 'E'(f(A_8), s(0)) | ~ 'E'(f(A_9), 0) |
% 0.20/0.44 ~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0)))))))))))),
% 0.20/0.44 inference(resolve, [$cnf('E'(f(A_2), s(s(s(s(s(s(s(0)))))))))],
% 0.20/0.44 [refute_0_10, refute_0_63])).
% 0.20/0.44
% 0.20/0.44 cnf(refute_0_65, plain,
% 0.20/0.44 (~ 'E'(f(A_4), s(s(s(s(s(0)))))) | ~ 'E'(f(A_5), s(s(s(s(0))))) |
% 0.20/0.44 ~ 'E'(f(A_6), s(s(s(0)))) | ~ 'E'(f(A_7), s(s(0))) |
% 0.20/0.44 ~ 'E'(f(A_8), s(0)) | ~ 'E'(f(A_9), 0) |
% 0.20/0.44 ~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0)))))))))))),
% 0.20/0.44 inference(resolve, [$cnf('E'(f(A_3), s(s(s(s(s(s(0))))))))],
% 0.20/0.44 [refute_0_16, refute_0_64])).
% 0.20/0.44
% 0.20/0.44 cnf(refute_0_66, plain,
% 0.20/0.44 (~ 'E'(f(A_5), s(s(s(s(0))))) | ~ 'E'(f(A_6), s(s(s(0)))) |
% 0.20/0.44 ~ 'E'(f(A_7), s(s(0))) | ~ 'E'(f(A_8), s(0)) | ~ 'E'(f(A_9), 0) |
% 0.20/0.44 ~ 'E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0)))))))))))),
% 0.20/0.44 inference(resolve, [$cnf('E'(f(A_4), s(s(s(s(s(0)))))))],
% 0.20/0.44 [refute_0_23, refute_0_65])).
% 0.20/0.44
% 0.20/0.44 cnf(refute_0_67, plain,
% 0.20/0.44 (~ 'E'(f(A_5), s(s(s(s(0))))) | ~ 'E'(f(A_6), s(s(s(0)))) |
% 0.20/0.44 ~ 'E'(f(A_7), s(s(0))) | ~ 'E'(f(A_8), s(0)) | ~ 'E'(f(A_9), 0)),
% 0.20/0.44 inference(resolve,
% 0.20/0.44 [$cnf('E'(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))))],
% 0.20/0.44 [refute_0_3, refute_0_66])).
% 0.20/0.44
% 0.20/0.44 cnf(refute_0_68, plain,
% 0.20/0.44 (~ 'E'(f(X_59), s(s(s(0)))) | ~ 'E'(f(X_60), s(s(0))) |
% 0.20/0.44 ~ 'E'(f(X_61), s(0)) | ~ 'E'(f(X_62), 0) |
% 0.20/0.44 ~ 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), s(s(s(s(0)))))),
% 0.20/0.44 inference(subst, [],
% 0.20/0.44 [refute_0_67 :
% 0.20/0.44 [bind(A_5,
% 0.20/0.44 $fot('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K))),
% 0.20/0.44 bind(A_6, $fot(X_59)), bind(A_7, $fot(X_60)),
% 0.20/0.44 bind(A_8, $fot(X_61)), bind(A_9, $fot(X_62))]])).
% 0.20/0.44
% 0.20/0.44 cnf(refute_0_69, plain,
% 0.20/0.44 (~ 'E'(f(X_59), s(s(s(0)))) | ~ 'E'(f(X_60), s(s(0))) |
% 0.20/0.44 ~ 'E'(f(X_61), s(0)) | ~ 'E'(f(X_62), 0)),
% 0.20/0.44 inference(resolve,
% 0.20/0.44 [$cnf('E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)),
% 0.20/0.44 s(s(s(s(0))))))], [refute_0_25, refute_0_68])).
% 0.20/0.44
% 0.20/0.44 cnf(refute_0_70, plain,
% 0.20/0.44 (~ 'E'(f(X_64), s(s(0))) | ~ 'E'(f(X_65), s(0)) | ~ 'E'(f(X_66), 0) |
% 0.20/0.44 ~ 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), X_21)), s(s(s(0))))),
% 0.20/0.44 inference(subst, [],
% 0.20/0.44 [refute_0_69 :
% 0.20/0.44 [bind(X_59,
% 0.20/0.44 $fot('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), X_21))),
% 0.20/0.44 bind(X_60, $fot(X_64)), bind(X_61, $fot(X_65)),
% 0.20/0.44 bind(X_62, $fot(X_66))]])).
% 0.20/0.44
% 0.20/0.44 cnf(refute_0_71, plain,
% 0.20/0.44 (~ 'E'(f(X_64), s(s(0))) | ~ 'E'(f(X_65), s(0)) | ~ 'E'(f(X_66), 0)),
% 0.20/0.44 inference(resolve,
% 0.20/0.44 [$cnf('E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), X_21)),
% 0.20/0.44 s(s(s(0)))))], [refute_0_33, refute_0_70])).
% 0.20/0.44
% 0.20/0.44 cnf(refute_0_72, plain,
% 0.20/0.44 (~ 'E'(f(X_68), s(0)) | ~ 'E'(f(X_69), 0) |
% 0.20/0.44 ~ 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), X_34)), s(s(0)))),
% 0.20/0.44 inference(subst, [],
% 0.20/0.44 [refute_0_71 :
% 0.20/0.44 [bind(X_64,
% 0.20/0.44 $fot('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), X_34))),
% 0.20/0.44 bind(X_65, $fot(X_68)), bind(X_66, $fot(X_69))]])).
% 0.20/0.44
% 0.20/0.44 cnf(refute_0_73, plain, (~ 'E'(f(X_68), s(0)) | ~ 'E'(f(X_69), 0)),
% 0.20/0.44 inference(resolve,
% 0.20/0.44 [$cnf('E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), X_34)),
% 0.20/0.44 s(s(0))))], [refute_0_43, refute_0_72])).
% 0.20/0.44
% 0.20/0.44 cnf(refute_0_74, plain,
% 0.20/0.44 (~ 'E'(f(X_71), 0) |
% 0.20/0.44 ~ 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), X_56)), s(0))),
% 0.20/0.44 inference(subst, [],
% 0.20/0.44 [refute_0_73 :
% 0.20/0.44 [bind(X_68,
% 0.20/0.44 $fot('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), X_56))),
% 0.20/0.44 bind(X_69, $fot(X_71))]])).
% 0.20/0.44
% 0.20/0.44 cnf(refute_0_75, plain, (~ 'E'(f(X_71), 0)),
% 0.20/0.44 inference(resolve,
% 0.20/0.44 [$cnf('E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), X_56)),
% 0.20/0.44 s(0)))], [refute_0_55, refute_0_74])).
% 0.20/0.44
% 0.20/0.44 cnf(refute_0_76, plain,
% 0.20/0.44 (~ 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), 0)),
% 0.20/0.44 inference(subst, [],
% 0.20/0.44 [refute_0_75 :
% 0.20/0.44 [bind(X_71,
% 0.20/0.44 $fot('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))),
% 0.20/0.44 K)))]])).
% 0.20/0.44
% 0.20/0.44 cnf(refute_0_77, plain,
% 0.20/0.44 (~ 'E'(f(A_5), s(s(s(s(0))))) | ~ 'E'(f(A_6), s(s(s(0)))) |
% 0.20/0.44 ~ 'E'(f(A_7), s(s(0))) | ~ 'E'(f(A_8), s(0))),
% 0.20/0.44 inference(resolve,
% 0.20/0.44 [$cnf('E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)),
% 0.20/0.44 0))], [refute_0_61, refute_0_76])).
% 0.20/0.44
% 0.20/0.44 cnf(refute_0_78, plain,
% 0.20/0.44 (~ 'E'(f(X_73), s(s(s(s(0))))) | ~ 'E'(f(X_75), s(s(0))) |
% 0.20/0.44 ~ 'E'(f(X_76), s(0)) |
% 0.20/0.44 ~ 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), X_21)), s(s(s(0))))),
% 0.20/0.44 inference(subst, [],
% 0.20/0.44 [refute_0_77 :
% 0.20/0.44 [bind(A_5, $fot(X_73)),
% 0.20/0.44 bind(A_6,
% 0.20/0.44 $fot('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), X_21))),
% 0.20/0.44 bind(A_7, $fot(X_75)), bind(A_8, $fot(X_76))]])).
% 0.20/0.44
% 0.20/0.44 cnf(refute_0_79, plain,
% 0.20/0.44 (~ 'E'(f(X_73), s(s(s(s(0))))) | ~ 'E'(f(X_75), s(s(0))) |
% 0.20/0.44 ~ 'E'(f(X_76), s(0))),
% 0.20/0.44 inference(resolve,
% 0.20/0.44 [$cnf('E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), X_21)),
% 0.20/0.44 s(s(s(0)))))], [refute_0_33, refute_0_78])).
% 0.20/0.44
% 0.20/0.44 cnf(refute_0_80, plain,
% 0.20/0.44 (~ 'E'(f(X_77), s(s(s(s(0))))) | ~ 'E'(f(X_79), s(0)) |
% 0.20/0.44 ~ 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), X_34)), s(s(0)))),
% 0.20/0.44 inference(subst, [],
% 0.20/0.44 [refute_0_79 :
% 0.20/0.44 [bind(X_73, $fot(X_77)),
% 0.20/0.44 bind(X_75,
% 0.20/0.44 $fot('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), X_34))),
% 0.20/0.44 bind(X_76, $fot(X_79))]])).
% 0.20/0.44
% 0.20/0.44 cnf(refute_0_81, plain,
% 0.20/0.44 (~ 'E'(f(X_77), s(s(s(s(0))))) | ~ 'E'(f(X_79), s(0))),
% 0.20/0.44 inference(resolve,
% 0.20/0.44 [$cnf('E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), X_34)),
% 0.20/0.44 s(s(0))))], [refute_0_43, refute_0_80])).
% 0.20/0.44
% 0.20/0.44 cnf(refute_0_82, plain,
% 0.20/0.44 (~ 'E'(f(X_81), s(0)) |
% 0.20/0.44 ~ 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), s(s(s(s(0)))))),
% 0.20/0.44 inference(subst, [],
% 0.20/0.44 [refute_0_81 :
% 0.20/0.44 [bind(X_77,
% 0.20/0.44 $fot('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K))),
% 0.20/0.44 bind(X_79, $fot(X_81))]])).
% 0.20/0.44
% 0.20/0.44 cnf(refute_0_83, plain, (~ 'E'(f(X_81), s(0))),
% 0.20/0.44 inference(resolve,
% 0.20/0.44 [$cnf('E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)),
% 0.20/0.44 s(s(s(s(0))))))], [refute_0_25, refute_0_82])).
% 0.20/0.44
% 0.20/0.44 cnf(refute_0_84, plain,
% 0.20/0.44 (~ 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), X_56)), s(0))),
% 0.20/0.44 inference(subst, [],
% 0.20/0.44 [refute_0_83 :
% 0.20/0.44 [bind(X_81,
% 0.20/0.44 $fot('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))),
% 0.20/0.44 X_56)))]])).
% 0.20/0.44
% 0.20/0.44 cnf(refute_0_85, plain, ($false),
% 0.20/0.44 inference(resolve,
% 0.20/0.44 [$cnf('E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), X_56)),
% 0.20/0.44 s(0)))], [refute_0_55, refute_0_84])).
% 0.20/0.44 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.44
%------------------------------------------------------------------------------