TSTP Solution File: LCL117-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL117-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n011.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 12:49:43 EDT 2022
% Result : Unsatisfiable 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of clauses : 18 ( 10 unt; 0 nHn; 9 RR)
% Number of literals : 29 ( 0 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 48 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(equivalent(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ) ).
cnf(yqm,axiom,
is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(Z,Y),equivalent(Z,X)))) ).
cnf(prove_qyf,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(a,c)),equivalent(c,b))) ).
cnf(refute_0_0,plain,
( ~ is_a_theorem(equivalent(X_11,equivalent(equivalent(X_10,X_9),equivalent(X_10,X_8))))
| ~ is_a_theorem(equivalent(equivalent(X_11,equivalent(equivalent(X_10,X_9),equivalent(X_10,X_8))),equivalent(X_11,equivalent(X_8,X_9))))
| is_a_theorem(equivalent(X_11,equivalent(X_8,X_9))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X_11,equivalent(equivalent(X_10,X_9),equivalent(X_10,X_8))))),bind(Y,$fot(equivalent(X_11,equivalent(X_8,X_9))))]]) ).
cnf(refute_0_1,plain,
( ~ is_a_theorem(equivalent(X,Y))
| ~ is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(Z,Y),equivalent(Z,X))))
| is_a_theorem(equivalent(equivalent(Z,Y),equivalent(Z,X))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X,Y))),bind(Y,$fot(equivalent(equivalent(Z,Y),equivalent(Z,X))))]]) ).
cnf(refute_0_2,plain,
( ~ is_a_theorem(equivalent(X,Y))
| is_a_theorem(equivalent(equivalent(Z,Y),equivalent(Z,X))) ),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(Z,Y),equivalent(Z,X)))) )],[yqm,refute_0_1]) ).
cnf(refute_0_3,plain,
( ~ is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(Z,Y),equivalent(Z,X))))
| is_a_theorem(equivalent(equivalent(X_7,equivalent(equivalent(Z,Y),equivalent(Z,X))),equivalent(X_7,equivalent(X,Y)))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(equivalent(X,Y))),bind(Y,$fot(equivalent(equivalent(Z,Y),equivalent(Z,X)))),bind(Z,$fot(X_7))]]) ).
cnf(refute_0_4,plain,
is_a_theorem(equivalent(equivalent(X_7,equivalent(equivalent(Z,Y),equivalent(Z,X))),equivalent(X_7,equivalent(X,Y)))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(Z,Y),equivalent(Z,X)))) )],[yqm,refute_0_3]) ).
cnf(refute_0_5,plain,
is_a_theorem(equivalent(equivalent(X_11,equivalent(equivalent(X_10,X_9),equivalent(X_10,X_8))),equivalent(X_11,equivalent(X_8,X_9)))),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_8)),bind(Y,$fot(X_9)),bind(Z,$fot(X_10)),bind(X_7,$fot(X_11))]]) ).
cnf(refute_0_6,plain,
( ~ is_a_theorem(equivalent(X_11,equivalent(equivalent(X_10,X_9),equivalent(X_10,X_8))))
| is_a_theorem(equivalent(X_11,equivalent(X_8,X_9))) ),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_11,equivalent(equivalent(X_10,X_9),equivalent(X_10,X_8))),equivalent(X_11,equivalent(X_8,X_9)))) )],[refute_0_5,refute_0_0]) ).
cnf(refute_0_7,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X_10,X_9),equivalent(X_10,X_8)),equivalent(equivalent(X_10,X_9),equivalent(X_10,X_8))))
| is_a_theorem(equivalent(equivalent(equivalent(X_10,X_9),equivalent(X_10,X_8)),equivalent(X_8,X_9))) ),
inference(subst,[],[refute_0_6:[bind(X_11,$fot(equivalent(equivalent(X_10,X_9),equivalent(X_10,X_8))))]]) ).
cnf(refute_0_8,plain,
is_a_theorem(equivalent(equivalent(X_19,X_20),equivalent(equivalent(X_17,X_20),equivalent(X_17,X_19)))),
inference(subst,[],[yqm:[bind(X,$fot(X_19)),bind(Y,$fot(X_20)),bind(Z,$fot(X_17))]]) ).
cnf(refute_0_9,plain,
( ~ is_a_theorem(equivalent(equivalent(X_19,X_20),equivalent(equivalent(X_17,X_20),equivalent(X_17,X_19))))
| is_a_theorem(equivalent(equivalent(X_19,X_20),equivalent(X_19,X_20))) ),
inference(subst,[],[refute_0_6:[bind(X_10,$fot(X_17)),bind(X_11,$fot(equivalent(X_19,X_20))),bind(X_8,$fot(X_19)),bind(X_9,$fot(X_20))]]) ).
cnf(refute_0_10,plain,
is_a_theorem(equivalent(equivalent(X_19,X_20),equivalent(X_19,X_20))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_19,X_20),equivalent(equivalent(X_17,X_20),equivalent(X_17,X_19)))) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
is_a_theorem(equivalent(equivalent(equivalent(X_10,X_9),equivalent(X_10,X_8)),equivalent(equivalent(X_10,X_9),equivalent(X_10,X_8)))),
inference(subst,[],[refute_0_10:[bind(X_19,$fot(equivalent(X_10,X_9))),bind(X_20,$fot(equivalent(X_10,X_8)))]]) ).
cnf(refute_0_12,plain,
is_a_theorem(equivalent(equivalent(equivalent(X_10,X_9),equivalent(X_10,X_8)),equivalent(X_8,X_9))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_10,X_9),equivalent(X_10,X_8)),equivalent(equivalent(X_10,X_9),equivalent(X_10,X_8)))) )],[refute_0_11,refute_0_7]) ).
cnf(refute_0_13,plain,
is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(a,c)),equivalent(c,b))),
inference(subst,[],[refute_0_12:[bind(X_10,$fot(a)),bind(X_8,$fot(c)),bind(X_9,$fot(b))]]) ).
cnf(refute_0_14,plain,
$false,
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(a,c)),equivalent(c,b))) )],[refute_0_13,prove_qyf]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL117-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n011.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 23:23:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.34 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34
% 0.12/0.34 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.35
%------------------------------------------------------------------------------