TSTP Solution File: LCL027-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL027-1 : 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 12:48:53 EDT 2022
% Result : Unsatisfiable 0.19s 0.46s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of clauses : 23 ( 13 unt; 0 nHn; 11 RR)
% Number of literals : 37 ( 0 equ; 15 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 : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 39 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ) ).
cnf(c0_2,axiom,
is_a_theorem(implies(X,implies(Y,X))) ).
cnf(c0_5,axiom,
is_a_theorem(implies(implies(implies(X,falsehood),falsehood),X)) ).
cnf(c0_6,axiom,
is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(X,Y),implies(X,Z)))) ).
cnf(prove_c0_4,negated_conjecture,
~ is_a_theorem(implies(falsehood,a)) ).
cnf(refute_0_0,plain,
is_a_theorem(implies(falsehood,implies(implies(X_373,falsehood),falsehood))),
inference(subst,[],[c0_2:[bind(X,$fot(falsehood)),bind(Y,$fot(implies(X_373,falsehood)))]]) ).
cnf(refute_0_1,plain,
( ~ is_a_theorem(implies(X_42,implies(implies(X_43,falsehood),falsehood)))
| ~ is_a_theorem(implies(implies(X_42,implies(implies(X_43,falsehood),falsehood)),implies(X_42,X_43)))
| is_a_theorem(implies(X_42,X_43)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X_42,implies(implies(X_43,falsehood),falsehood)))),bind(Y,$fot(implies(X_42,X_43)))]]) ).
cnf(refute_0_2,plain,
is_a_theorem(implies(X_6,implies(Y,X_6))),
inference(subst,[],[c0_2:[bind(X,$fot(X_6))]]) ).
cnf(refute_0_3,plain,
( ~ is_a_theorem(X_6)
| ~ is_a_theorem(implies(X_6,implies(Y,X_6)))
| is_a_theorem(implies(Y,X_6)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_6)),bind(Y,$fot(implies(Y,X_6)))]]) ).
cnf(refute_0_4,plain,
( ~ is_a_theorem(X_6)
| is_a_theorem(implies(Y,X_6)) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_6,implies(Y,X_6))) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( ~ is_a_theorem(implies(implies(implies(X,falsehood),falsehood),X))
| is_a_theorem(implies(X_9,implies(implies(implies(X,falsehood),falsehood),X))) ),
inference(subst,[],[refute_0_4:[bind(Y,$fot(X_9)),bind(X_6,$fot(implies(implies(implies(X,falsehood),falsehood),X)))]]) ).
cnf(refute_0_6,plain,
is_a_theorem(implies(X_9,implies(implies(implies(X,falsehood),falsehood),X))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X,falsehood),falsehood),X)) )],[c0_5,refute_0_5]) ).
cnf(refute_0_7,plain,
is_a_theorem(implies(X_33,implies(implies(implies(X_35,falsehood),falsehood),X_35))),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_35)),bind(X_9,$fot(X_33))]]) ).
cnf(refute_0_8,plain,
( ~ is_a_theorem(implies(X,implies(Y,Z)))
| ~ is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(X,Y),implies(X,Z))))
| is_a_theorem(implies(implies(X,Y),implies(X,Z))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X,implies(Y,Z)))),bind(Y,$fot(implies(implies(X,Y),implies(X,Z))))]]) ).
cnf(refute_0_9,plain,
( ~ is_a_theorem(implies(X,implies(Y,Z)))
| is_a_theorem(implies(implies(X,Y),implies(X,Z))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(X,Y),implies(X,Z)))) )],[c0_6,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ is_a_theorem(implies(X_33,implies(implies(implies(X_35,falsehood),falsehood),X_35)))
| is_a_theorem(implies(implies(X_33,implies(implies(X_35,falsehood),falsehood)),implies(X_33,X_35))) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(X_33)),bind(Y,$fot(implies(implies(X_35,falsehood),falsehood))),bind(Z,$fot(X_35))]]) ).
cnf(refute_0_11,plain,
is_a_theorem(implies(implies(X_33,implies(implies(X_35,falsehood),falsehood)),implies(X_33,X_35))),
inference(resolve,[$cnf( is_a_theorem(implies(X_33,implies(implies(implies(X_35,falsehood),falsehood),X_35))) )],[refute_0_7,refute_0_10]) ).
cnf(refute_0_12,plain,
is_a_theorem(implies(implies(X_42,implies(implies(X_43,falsehood),falsehood)),implies(X_42,X_43))),
inference(subst,[],[refute_0_11:[bind(X_33,$fot(X_42)),bind(X_35,$fot(X_43))]]) ).
cnf(refute_0_13,plain,
( ~ is_a_theorem(implies(X_42,implies(implies(X_43,falsehood),falsehood)))
| is_a_theorem(implies(X_42,X_43)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_42,implies(implies(X_43,falsehood),falsehood)),implies(X_42,X_43))) )],[refute_0_12,refute_0_1]) ).
cnf(refute_0_14,plain,
( ~ is_a_theorem(implies(falsehood,implies(implies(X_373,falsehood),falsehood)))
| is_a_theorem(implies(falsehood,X_373)) ),
inference(subst,[],[refute_0_13:[bind(X_42,$fot(falsehood)),bind(X_43,$fot(X_373))]]) ).
cnf(refute_0_15,plain,
is_a_theorem(implies(falsehood,X_373)),
inference(resolve,[$cnf( is_a_theorem(implies(falsehood,implies(implies(X_373,falsehood),falsehood))) )],[refute_0_0,refute_0_14]) ).
cnf(refute_0_16,plain,
is_a_theorem(implies(falsehood,a)),
inference(subst,[],[refute_0_15:[bind(X_373,$fot(a))]]) ).
cnf(refute_0_17,plain,
$false,
inference(resolve,[$cnf( is_a_theorem(implies(falsehood,a)) )],[refute_0_16,prove_c0_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL027-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % 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 21:10:06 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.46 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46
% 0.19/0.46 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.46
%------------------------------------------------------------------------------