TSTP Solution File: LCL357-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL357-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n025.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 12:51:42 EDT 2022
% Result : Unsatisfiable 0.78s 0.96s
% Output : CNFRefutation 0.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of clauses : 15 ( 8 unt; 0 nHn; 8 RR)
% Number of literals : 25 ( 0 equ; 11 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 43 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ) ).
cnf(cn_1,axiom,
is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ).
cnf(prove_cn_06,negated_conjecture,
~ is_a_theorem(implies(implies(x,y),implies(implies(implies(x,z),u),implies(implies(y,z),u)))) ).
cnf(refute_0_0,plain,
is_a_theorem(implies(implies(implies(X_1678,X_1679),implies(X_1677,X_1679)),implies(implies(implies(X_1677,X_1679),Z),implies(implies(X_1678,X_1679),Z)))),
inference(subst,[],[cn_1:[bind(X,$fot(implies(X_1678,X_1679))),bind(Y,$fot(implies(X_1677,X_1679)))]]) ).
cnf(refute_0_1,plain,
( ~ is_a_theorem(implies(implies(implies(X_67,X_68),implies(X_66,X_68)),X_69))
| ~ is_a_theorem(implies(implies(implies(implies(X_67,X_68),implies(X_66,X_68)),X_69),implies(implies(X_66,X_67),X_69)))
| is_a_theorem(implies(implies(X_66,X_67),X_69)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(X_67,X_68),implies(X_66,X_68)),X_69))),bind(Y,$fot(implies(implies(X_66,X_67),X_69)))]]) ).
cnf(refute_0_2,plain,
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))))
| is_a_theorem(implies(implies(Y,Z),implies(X,Z))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X,Y))),bind(Y,$fot(implies(implies(Y,Z),implies(X,Z))))]]) ).
cnf(refute_0_3,plain,
( ~ is_a_theorem(implies(X,Y))
| is_a_theorem(implies(implies(Y,Z),implies(X,Z))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) )],[cn_1,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))))
| is_a_theorem(implies(implies(implies(implies(Y,Z),implies(X,Z)),X_25),implies(implies(X,Y),X_25))) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(implies(X,Y))),bind(Y,$fot(implies(implies(Y,Z),implies(X,Z)))),bind(Z,$fot(X_25))]]) ).
cnf(refute_0_5,plain,
is_a_theorem(implies(implies(implies(implies(Y,Z),implies(X,Z)),X_25),implies(implies(X,Y),X_25))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) )],[cn_1,refute_0_4]) ).
cnf(refute_0_6,plain,
is_a_theorem(implies(implies(implies(implies(X_67,X_68),implies(X_66,X_68)),X_69),implies(implies(X_66,X_67),X_69))),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_66)),bind(Y,$fot(X_67)),bind(Z,$fot(X_68)),bind(X_25,$fot(X_69))]]) ).
cnf(refute_0_7,plain,
( ~ is_a_theorem(implies(implies(implies(X_67,X_68),implies(X_66,X_68)),X_69))
| is_a_theorem(implies(implies(X_66,X_67),X_69)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_67,X_68),implies(X_66,X_68)),X_69),implies(implies(X_66,X_67),X_69))) )],[refute_0_6,refute_0_1]) ).
cnf(refute_0_8,plain,
( ~ is_a_theorem(implies(implies(implies(X_1678,X_1679),implies(X_1677,X_1679)),implies(implies(implies(X_1677,X_1679),Z),implies(implies(X_1678,X_1679),Z))))
| is_a_theorem(implies(implies(X_1677,X_1678),implies(implies(implies(X_1677,X_1679),Z),implies(implies(X_1678,X_1679),Z)))) ),
inference(subst,[],[refute_0_7:[bind(X_66,$fot(X_1677)),bind(X_67,$fot(X_1678)),bind(X_68,$fot(X_1679)),bind(X_69,$fot(implies(implies(implies(X_1677,X_1679),Z),implies(implies(X_1678,X_1679),Z))))]]) ).
cnf(refute_0_9,plain,
is_a_theorem(implies(implies(X_1677,X_1678),implies(implies(implies(X_1677,X_1679),Z),implies(implies(X_1678,X_1679),Z)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_1678,X_1679),implies(X_1677,X_1679)),implies(implies(implies(X_1677,X_1679),Z),implies(implies(X_1678,X_1679),Z)))) )],[refute_0_0,refute_0_8]) ).
cnf(refute_0_10,plain,
is_a_theorem(implies(implies(x,y),implies(implies(implies(x,z),u),implies(implies(y,z),u)))),
inference(subst,[],[refute_0_9:[bind(Z,$fot(u)),bind(X_1677,$fot(x)),bind(X_1678,$fot(y)),bind(X_1679,$fot(z))]]) ).
cnf(refute_0_11,plain,
$false,
inference(resolve,[$cnf( is_a_theorem(implies(implies(x,y),implies(implies(implies(x,z),u),implies(implies(y,z),u)))) )],[refute_0_10,prove_cn_06]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL357-1 : TPTP v8.1.0. Released v2.3.0.
% 0.12/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n025.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 : Sun Jul 3 04:53:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.78/0.96 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.78/0.96
% 0.78/0.96 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.78/0.96
%------------------------------------------------------------------------------