TSTP Solution File: LCL130-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL130-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n007.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 : Sun Jul 17 12:49:48 EDT 2022
% Result : Unsatisfiable 0.18s 0.43s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 3
% Syntax : Number of clauses : 29 ( 17 unt; 0 nHn; 13 RR)
% Number of literals : 45 ( 0 equ; 17 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 110 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(equivalent(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ) ).
cnf(p_4,axiom,
is_a_theorem(equivalent(equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U)))),X)) ).
cnf(prove_lg_2,negated_conjecture,
~ is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))) ).
cnf(refute_0_0,plain,
( ~ is_a_theorem(equivalent(equivalent(X_34,equivalent(equivalent(X_31,X_32),equivalent(equivalent(X_31,X_30),equivalent(X_32,X_30)))),X_33))
| ~ is_a_theorem(equivalent(equivalent(equivalent(X_34,equivalent(equivalent(X_31,X_32),equivalent(equivalent(X_31,X_30),equivalent(X_32,X_30)))),X_33),equivalent(X_34,X_33)))
| is_a_theorem(equivalent(X_34,X_33)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(X_34,equivalent(equivalent(X_31,X_32),equivalent(equivalent(X_31,X_30),equivalent(X_32,X_30)))),X_33))),bind(Y,$fot(equivalent(X_34,X_33)))]]) ).
cnf(refute_0_1,plain,
is_a_theorem(equivalent(equivalent(X_21,equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U)))),X_21)),
inference(subst,[],[p_4:[bind(X,$fot(X_21))]]) ).
cnf(refute_0_2,plain,
( ~ is_a_theorem(equivalent(X_17,X_18))
| ~ is_a_theorem(equivalent(equivalent(X_17,X_18),equivalent(equivalent(X_17,X_16),equivalent(X_18,X_16))))
| is_a_theorem(equivalent(equivalent(X_17,X_16),equivalent(X_18,X_16))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X_17,X_18))),bind(Y,$fot(equivalent(equivalent(X_17,X_16),equivalent(X_18,X_16))))]]) ).
cnf(refute_0_3,plain,
( ~ is_a_theorem(equivalent(X_3,equivalent(equivalent(X_4,X_5),equivalent(equivalent(X_4,X_2),equivalent(X_5,X_2)))))
| ~ is_a_theorem(equivalent(equivalent(X_3,equivalent(equivalent(X_4,X_5),equivalent(equivalent(X_4,X_2),equivalent(X_5,X_2)))),X_3))
| is_a_theorem(X_3) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X_3,equivalent(equivalent(X_4,X_5),equivalent(equivalent(X_4,X_2),equivalent(X_5,X_2)))))),bind(Y,$fot(X_3))]]) ).
cnf(refute_0_4,plain,
is_a_theorem(equivalent(equivalent(X_3,equivalent(equivalent(X_4,X_5),equivalent(equivalent(X_4,X_2),equivalent(X_5,X_2)))),X_3)),
inference(subst,[],[p_4:[bind(U,$fot(X_2)),bind(X,$fot(X_3)),bind(Y,$fot(X_4)),bind(Z,$fot(X_5))]]) ).
cnf(refute_0_5,plain,
( ~ is_a_theorem(equivalent(X_3,equivalent(equivalent(X_4,X_5),equivalent(equivalent(X_4,X_2),equivalent(X_5,X_2)))))
| is_a_theorem(X_3) ),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_3,equivalent(equivalent(X_4,X_5),equivalent(equivalent(X_4,X_2),equivalent(X_5,X_2)))),X_3)) )],[refute_0_4,refute_0_3]) ).
cnf(refute_0_6,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X_14,X_15),equivalent(equivalent(X_14,X_13),equivalent(X_15,X_13))),equivalent(equivalent(X_11,X_12),equivalent(equivalent(X_11,X_10),equivalent(X_12,X_10)))))
| is_a_theorem(equivalent(equivalent(X_14,X_15),equivalent(equivalent(X_14,X_13),equivalent(X_15,X_13)))) ),
inference(subst,[],[refute_0_5:[bind(X_2,$fot(X_10)),bind(X_3,$fot(equivalent(equivalent(X_14,X_15),equivalent(equivalent(X_14,X_13),equivalent(X_15,X_13))))),bind(X_4,$fot(X_11)),bind(X_5,$fot(X_12))]]) ).
cnf(refute_0_7,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_8,X_9),equivalent(equivalent(X_8,X_6),equivalent(X_9,X_6))),equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U)))),equivalent(equivalent(X_8,X_9),equivalent(equivalent(X_8,X_6),equivalent(X_9,X_6))))),
inference(subst,[],[p_4:[bind(X,$fot(equivalent(equivalent(X_8,X_9),equivalent(equivalent(X_8,X_6),equivalent(X_9,X_6)))))]]) ).
cnf(refute_0_8,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_8,X_9),equivalent(equivalent(X_8,X_6),equivalent(X_9,X_6))),equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U)))),equivalent(equivalent(X_8,X_9),equivalent(equivalent(X_8,X_6),equivalent(X_9,X_6)))))
| is_a_theorem(equivalent(equivalent(equivalent(X_8,X_9),equivalent(equivalent(X_8,X_6),equivalent(X_9,X_6))),equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U))))) ),
inference(subst,[],[refute_0_5:[bind(X_2,$fot(X_6)),bind(X_3,$fot(equivalent(equivalent(equivalent(X_8,X_9),equivalent(equivalent(X_8,X_6),equivalent(X_9,X_6))),equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U)))))),bind(X_4,$fot(X_8)),bind(X_5,$fot(X_9))]]) ).
cnf(refute_0_9,plain,
is_a_theorem(equivalent(equivalent(equivalent(X_8,X_9),equivalent(equivalent(X_8,X_6),equivalent(X_9,X_6))),equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U))))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_8,X_9),equivalent(equivalent(X_8,X_6),equivalent(X_9,X_6))),equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U)))),equivalent(equivalent(X_8,X_9),equivalent(equivalent(X_8,X_6),equivalent(X_9,X_6))))) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
is_a_theorem(equivalent(equivalent(equivalent(X_14,X_15),equivalent(equivalent(X_14,X_13),equivalent(X_15,X_13))),equivalent(equivalent(X_11,X_12),equivalent(equivalent(X_11,X_10),equivalent(X_12,X_10))))),
inference(subst,[],[refute_0_9:[bind(U,$fot(X_10)),bind(Y,$fot(X_11)),bind(Z,$fot(X_12)),bind(X_6,$fot(X_13)),bind(X_8,$fot(X_14)),bind(X_9,$fot(X_15))]]) ).
cnf(refute_0_11,plain,
is_a_theorem(equivalent(equivalent(X_14,X_15),equivalent(equivalent(X_14,X_13),equivalent(X_15,X_13)))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_14,X_15),equivalent(equivalent(X_14,X_13),equivalent(X_15,X_13))),equivalent(equivalent(X_11,X_12),equivalent(equivalent(X_11,X_10),equivalent(X_12,X_10))))) )],[refute_0_10,refute_0_6]) ).
cnf(refute_0_12,plain,
is_a_theorem(equivalent(equivalent(X_17,X_18),equivalent(equivalent(X_17,X_16),equivalent(X_18,X_16)))),
inference(subst,[],[refute_0_11:[bind(X_13,$fot(X_16)),bind(X_14,$fot(X_17)),bind(X_15,$fot(X_18))]]) ).
cnf(refute_0_13,plain,
( ~ is_a_theorem(equivalent(X_17,X_18))
| is_a_theorem(equivalent(equivalent(X_17,X_16),equivalent(X_18,X_16))) ),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_17,X_18),equivalent(equivalent(X_17,X_16),equivalent(X_18,X_16)))) )],[refute_0_12,refute_0_2]) ).
cnf(refute_0_14,plain,
( ~ is_a_theorem(equivalent(equivalent(X_21,equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U)))),X_21))
| is_a_theorem(equivalent(equivalent(equivalent(X_21,equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U)))),X_19),equivalent(X_21,X_19))) ),
inference(subst,[],[refute_0_13:[bind(X_16,$fot(X_19)),bind(X_17,$fot(equivalent(X_21,equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U)))))),bind(X_18,$fot(X_21))]]) ).
cnf(refute_0_15,plain,
is_a_theorem(equivalent(equivalent(equivalent(X_21,equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U)))),X_19),equivalent(X_21,X_19))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_21,equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U)))),X_21)) )],[refute_0_1,refute_0_14]) ).
cnf(refute_0_16,plain,
is_a_theorem(equivalent(equivalent(equivalent(X_34,equivalent(equivalent(X_31,X_32),equivalent(equivalent(X_31,X_30),equivalent(X_32,X_30)))),X_33),equivalent(X_34,X_33))),
inference(subst,[],[refute_0_15:[bind(U,$fot(X_30)),bind(Y,$fot(X_31)),bind(Z,$fot(X_32)),bind(X_19,$fot(X_33)),bind(X_21,$fot(X_34))]]) ).
cnf(refute_0_17,plain,
( ~ is_a_theorem(equivalent(equivalent(X_34,equivalent(equivalent(X_31,X_32),equivalent(equivalent(X_31,X_30),equivalent(X_32,X_30)))),X_33))
| is_a_theorem(equivalent(X_34,X_33)) ),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_34,equivalent(equivalent(X_31,X_32),equivalent(equivalent(X_31,X_30),equivalent(X_32,X_30)))),X_33),equivalent(X_34,X_33))) )],[refute_0_16,refute_0_0]) ).
cnf(refute_0_18,plain,
( ~ is_a_theorem(equivalent(equivalent(X_34,equivalent(equivalent(X_31,X_32),equivalent(equivalent(X_31,X_30),equivalent(X_32,X_30)))),equivalent(X_34,equivalent(equivalent(X_31,X_32),equivalent(equivalent(X_31,X_30),equivalent(X_32,X_30))))))
| is_a_theorem(equivalent(X_34,equivalent(X_34,equivalent(equivalent(X_31,X_32),equivalent(equivalent(X_31,X_30),equivalent(X_32,X_30)))))) ),
inference(subst,[],[refute_0_17:[bind(X_33,$fot(equivalent(X_34,equivalent(equivalent(X_31,X_32),equivalent(equivalent(X_31,X_30),equivalent(X_32,X_30))))))]]) ).
cnf(refute_0_19,plain,
is_a_theorem(equivalent(equivalent(X_260,equivalent(equivalent(X_258,X_259),equivalent(equivalent(X_258,X_257),equivalent(X_259,X_257)))),X_260)),
inference(subst,[],[p_4:[bind(U,$fot(X_257)),bind(X,$fot(X_260)),bind(Y,$fot(X_258)),bind(Z,$fot(X_259))]]) ).
cnf(refute_0_20,plain,
( ~ is_a_theorem(equivalent(equivalent(X_260,equivalent(equivalent(X_258,X_259),equivalent(equivalent(X_258,X_257),equivalent(X_259,X_257)))),X_260))
| is_a_theorem(equivalent(X_260,X_260)) ),
inference(subst,[],[refute_0_17:[bind(X_30,$fot(X_257)),bind(X_31,$fot(X_258)),bind(X_32,$fot(X_259)),bind(X_33,$fot(X_260)),bind(X_34,$fot(X_260))]]) ).
cnf(refute_0_21,plain,
is_a_theorem(equivalent(X_260,X_260)),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_260,equivalent(equivalent(X_258,X_259),equivalent(equivalent(X_258,X_257),equivalent(X_259,X_257)))),X_260)) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
is_a_theorem(equivalent(equivalent(X_34,equivalent(equivalent(X_31,X_32),equivalent(equivalent(X_31,X_30),equivalent(X_32,X_30)))),equivalent(X_34,equivalent(equivalent(X_31,X_32),equivalent(equivalent(X_31,X_30),equivalent(X_32,X_30)))))),
inference(subst,[],[refute_0_21:[bind(X_260,$fot(equivalent(X_34,equivalent(equivalent(X_31,X_32),equivalent(equivalent(X_31,X_30),equivalent(X_32,X_30))))))]]) ).
cnf(refute_0_23,plain,
is_a_theorem(equivalent(X_34,equivalent(X_34,equivalent(equivalent(X_31,X_32),equivalent(equivalent(X_31,X_30),equivalent(X_32,X_30)))))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_34,equivalent(equivalent(X_31,X_32),equivalent(equivalent(X_31,X_30),equivalent(X_32,X_30)))),equivalent(X_34,equivalent(equivalent(X_31,X_32),equivalent(equivalent(X_31,X_30),equivalent(X_32,X_30)))))) )],[refute_0_22,refute_0_18]) ).
cnf(refute_0_24,plain,
is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),
inference(subst,[],[refute_0_23:[bind(X_30,$fot(e)),bind(X_31,$fot(b)),bind(X_32,$fot(c)),bind(X_34,$fot(a))]]) ).
cnf(refute_0_25,plain,
$false,
inference(resolve,[$cnf( is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))) )],[refute_0_24,prove_lg_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL130-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n007.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 : Mon Jul 4 04:18:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.43 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.43
% 0.18/0.43 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.18/0.44
%------------------------------------------------------------------------------