TSTP Solution File: LCL414-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL414-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n015.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 12:52:04 EDT 2022
% Result : Unsatisfiable 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% 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; 1 con; 0-2 aty)
% Number of variables : 46 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(thm147_1,negated_conjecture,
( a_truth(B)
| ~ a_truth(A)
| ~ a_truth(implies(A,B)) ) ).
cnf(thm147_2,negated_conjecture,
a_truth(implies(A,implies(B,A))) ).
cnf(thm147_3,negated_conjecture,
a_truth(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C)))) ).
cnf(thm147_4,negated_conjecture,
a_truth(implies(implies(not(A),not(B)),implies(B,A))) ).
cnf(thm147_5,negated_conjecture,
~ a_truth(implies(sk1,sk1)) ).
cnf(refute_0_0,plain,
a_truth(implies(X_7,implies(B,X_7))),
inference(subst,[],[thm147_2:[bind(A,$fot(X_7))]]) ).
cnf(refute_0_1,plain,
( ~ a_truth(X_7)
| ~ a_truth(implies(X_7,implies(B,X_7)))
| a_truth(implies(B,X_7)) ),
inference(subst,[],[thm147_1:[bind(A,$fot(X_7)),bind(B,$fot(implies(B,X_7)))]]) ).
cnf(refute_0_2,plain,
( ~ a_truth(X_7)
| a_truth(implies(B,X_7)) ),
inference(resolve,[$cnf( a_truth(implies(X_7,implies(B,X_7))) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( ~ a_truth(implies(implies(not(A),not(B)),implies(B,A)))
| a_truth(implies(X_9,implies(implies(not(A),not(B)),implies(B,A)))) ),
inference(subst,[],[refute_0_2:[bind(B,$fot(X_9)),bind(X_7,$fot(implies(implies(not(A),not(B)),implies(B,A))))]]) ).
cnf(refute_0_4,plain,
a_truth(implies(X_9,implies(implies(not(A),not(B)),implies(B,A)))),
inference(resolve,[$cnf( a_truth(implies(implies(not(A),not(B)),implies(B,A))) )],[thm147_4,refute_0_3]) ).
cnf(refute_0_5,plain,
a_truth(implies(X_57,implies(implies(not(A),not(B)),implies(B,A)))),
inference(subst,[],[refute_0_4:[bind(X_9,$fot(X_57))]]) ).
cnf(refute_0_6,plain,
( ~ a_truth(implies(X_42,X_41))
| ~ a_truth(implies(implies(X_42,X_41),implies(X_42,X_42)))
| a_truth(implies(X_42,X_42)) ),
inference(subst,[],[thm147_1:[bind(A,$fot(implies(X_42,X_41))),bind(B,$fot(implies(X_42,X_42)))]]) ).
cnf(refute_0_7,plain,
a_truth(implies(X_40,implies(X_39,X_40))),
inference(subst,[],[thm147_2:[bind(A,$fot(X_40)),bind(B,$fot(X_39))]]) ).
cnf(refute_0_8,plain,
( ~ a_truth(implies(A,implies(B,C)))
| ~ a_truth(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C))))
| a_truth(implies(implies(A,B),implies(A,C))) ),
inference(subst,[],[thm147_1:[bind(A,$fot(implies(A,implies(B,C)))),bind(B,$fot(implies(implies(A,B),implies(A,C))))]]) ).
cnf(refute_0_9,plain,
( ~ a_truth(implies(A,implies(B,C)))
| a_truth(implies(implies(A,B),implies(A,C))) ),
inference(resolve,[$cnf( a_truth(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C)))) )],[thm147_3,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ a_truth(implies(X_40,implies(X_39,X_40)))
| a_truth(implies(implies(X_40,X_39),implies(X_40,X_40))) ),
inference(subst,[],[refute_0_9:[bind(A,$fot(X_40)),bind(B,$fot(X_39)),bind(C,$fot(X_40))]]) ).
cnf(refute_0_11,plain,
a_truth(implies(implies(X_40,X_39),implies(X_40,X_40))),
inference(resolve,[$cnf( a_truth(implies(X_40,implies(X_39,X_40))) )],[refute_0_7,refute_0_10]) ).
cnf(refute_0_12,plain,
a_truth(implies(implies(X_42,X_41),implies(X_42,X_42))),
inference(subst,[],[refute_0_11:[bind(X_39,$fot(X_41)),bind(X_40,$fot(X_42))]]) ).
cnf(refute_0_13,plain,
( ~ a_truth(implies(X_42,X_41))
| a_truth(implies(X_42,X_42)) ),
inference(resolve,[$cnf( a_truth(implies(implies(X_42,X_41),implies(X_42,X_42))) )],[refute_0_12,refute_0_6]) ).
cnf(refute_0_14,plain,
( ~ a_truth(implies(X_57,implies(implies(not(A),not(B)),implies(B,A))))
| a_truth(implies(X_57,X_57)) ),
inference(subst,[],[refute_0_13:[bind(X_41,$fot(implies(implies(not(A),not(B)),implies(B,A)))),bind(X_42,$fot(X_57))]]) ).
cnf(refute_0_15,plain,
a_truth(implies(X_57,X_57)),
inference(resolve,[$cnf( a_truth(implies(X_57,implies(implies(not(A),not(B)),implies(B,A)))) )],[refute_0_5,refute_0_14]) ).
cnf(refute_0_16,plain,
a_truth(implies(sk1,sk1)),
inference(subst,[],[refute_0_15:[bind(X_57,$fot(sk1))]]) ).
cnf(refute_0_17,plain,
$false,
inference(resolve,[$cnf( a_truth(implies(sk1,sk1)) )],[refute_0_16,thm147_5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LCL414-1 : TPTP v8.1.0. Released v2.5.0.
% 0.04/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n015.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 : Sat Jul 2 21:00:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.35 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35
% 0.12/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.35
%------------------------------------------------------------------------------