TSTP Solution File: SWV386+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWV386+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n021.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 : Wed Jul 20 20:31:27 EDT 2022
% Result : Theorem 15.77s 15.95s
% Output : CNFRefutation 15.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 19 ( 6 unt; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 23 ~; 6 |; 6 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 38 ( 1 sgn 28 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l22_l26,lemma,
! [U,V,W] :
( ~ check_cpq(triple(U,V,W))
=> ! [X] : ~ check_cpq(insert_cpq(triple(U,V,W),X)) ) ).
fof(l22_co,conjecture,
! [U,V,W] :
( ~ check_cpq(triple(U,V,W))
=> ! [X] :
( ~ check_cpq(insert_cpq(triple(U,V,W),X))
| ~ ok(insert_cpq(triple(U,V,W),X)) ) ) ).
fof(subgoal_0,plain,
! [U,V,W] :
( ~ check_cpq(triple(U,V,W))
=> ! [X] :
( ~ ~ check_cpq(insert_cpq(triple(U,V,W),X))
=> ~ ok(insert_cpq(triple(U,V,W),X)) ) ),
inference(strip,[],[l22_co]) ).
fof(negate_0_0,plain,
~ ! [U,V,W] :
( ~ check_cpq(triple(U,V,W))
=> ! [X] :
( ~ ~ check_cpq(insert_cpq(triple(U,V,W),X))
=> ~ ok(insert_cpq(triple(U,V,W),X)) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [U,V,W] :
( ~ check_cpq(triple(U,V,W))
& ? [X] :
( check_cpq(insert_cpq(triple(U,V,W),X))
& ok(insert_cpq(triple(U,V,W),X)) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ check_cpq(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W))
& ? [X] :
( check_cpq(insert_cpq(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W),X))
& ok(insert_cpq(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W),X)) ) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
? [X] :
( check_cpq(insert_cpq(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W),X))
& ok(insert_cpq(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W),X)) ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
( check_cpq(insert_cpq(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W),skolemFOFtoCNF_X))
& ok(insert_cpq(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W),skolemFOFtoCNF_X)) ),
inference(skolemize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
check_cpq(insert_cpq(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W),skolemFOFtoCNF_X)),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [U,V,W] :
( check_cpq(triple(U,V,W))
| ! [X] : ~ check_cpq(insert_cpq(triple(U,V,W),X)) ),
inference(canonicalize,[],[l22_l26]) ).
fof(normalize_0_6,plain,
! [U,V,W] :
( check_cpq(triple(U,V,W))
| ! [X] : ~ check_cpq(insert_cpq(triple(U,V,W),X)) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [U,V,W,X] :
( ~ check_cpq(insert_cpq(triple(U,V,W),X))
| check_cpq(triple(U,V,W)) ),
inference(clausify,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
~ check_cpq(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W)),
inference(conjunct,[],[normalize_0_1]) ).
cnf(refute_0_0,plain,
check_cpq(insert_cpq(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W),skolemFOFtoCNF_X)),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_1,plain,
( ~ check_cpq(insert_cpq(triple(U,V,W),X))
| check_cpq(triple(U,V,W)) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_2,plain,
( ~ check_cpq(insert_cpq(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W),skolemFOFtoCNF_X))
| check_cpq(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W)) ),
inference(subst,[],[refute_0_1:[bind(U,$fot(skolemFOFtoCNF_U)),bind(V,$fot(skolemFOFtoCNF_V)),bind(W,$fot(skolemFOFtoCNF_W)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_3,plain,
check_cpq(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W)),
inference(resolve,[$cnf( check_cpq(insert_cpq(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W),skolemFOFtoCNF_X)) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
~ check_cpq(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W)),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_5,plain,
$false,
inference(resolve,[$cnf( check_cpq(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W)) )],[refute_0_3,refute_0_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWV386+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.15 % Command : metis --show proof --show saturation %s
% 0.15/0.36 % Computer : n021.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Wed Jun 15 17:29:44 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.15/0.37 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 15.77/15.95 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.77/15.95
% 15.77/15.95 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 15.77/15.95
%------------------------------------------------------------------------------