TSTP Solution File: SWV397+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWV397+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n004.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 20:31:29 EDT 2022
% Result : Theorem 52.40s 52.57s
% Output : CNFRefutation 52.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 10 unt; 0 def)
% Number of atoms : 40 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 13 ~; 9 |; 2 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-3 aty)
% Number of variables : 40 ( 3 sgn 30 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax40,axiom,
! [U,V] :
( ok(triple(U,V,bad))
<=> $false ) ).
fof(ax43,axiom,
! [U,V,W,X] :
( ~ contains_slb(V,X)
=> remove_cpq(triple(U,V,W),X) = triple(U,V,bad) ) ).
fof(l33_co,conjecture,
! [U,V,W,X] :
( ok(remove_cpq(triple(U,V,W),X))
=> contains_slb(V,X) ) ).
fof(subgoal_0,plain,
! [U,V,W,X] :
( ok(remove_cpq(triple(U,V,W),X))
=> contains_slb(V,X) ),
inference(strip,[],[l33_co]) ).
fof(negate_0_0,plain,
~ ! [U,V,W,X] :
( ok(remove_cpq(triple(U,V,W),X))
=> contains_slb(V,X) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [U,V,W,X] :
( ~ contains_slb(V,X)
& ok(remove_cpq(triple(U,V,W),X)) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ contains_slb(skolemFOFtoCNF_V,skolemFOFtoCNF_X)
& ok(remove_cpq(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W),skolemFOFtoCNF_X)) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
ok(remove_cpq(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W),skolemFOFtoCNF_X)),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [U,V,W,X] :
( remove_cpq(triple(U,V,W),X) = triple(U,V,bad)
| contains_slb(V,X) ),
inference(canonicalize,[],[ax43]) ).
fof(normalize_0_4,plain,
! [U,V,W,X] :
( remove_cpq(triple(U,V,W),X) = triple(U,V,bad)
| contains_slb(V,X) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
~ contains_slb(skolemFOFtoCNF_V,skolemFOFtoCNF_X),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_6,plain,
! [U,V] : ~ ok(triple(U,V,bad)),
inference(canonicalize,[],[ax40]) ).
fof(normalize_0_7,plain,
! [U,V] : ~ ok(triple(U,V,bad)),
inference(specialize,[],[normalize_0_6]) ).
cnf(refute_0_0,plain,
ok(remove_cpq(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W),skolemFOFtoCNF_X)),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( remove_cpq(triple(U,V,W),X) = triple(U,V,bad)
| contains_slb(V,X) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
( remove_cpq(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W),skolemFOFtoCNF_X) = triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,bad)
| contains_slb(skolemFOFtoCNF_V,skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_1:[bind(U,$fot(skolemFOFtoCNF_U)),bind(V,$fot(skolemFOFtoCNF_V)),bind(W,$fot(skolemFOFtoCNF_W)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_3,plain,
( remove_cpq(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W),skolemFOFtoCNF_X) != triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,bad)
| ~ ok(remove_cpq(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W),skolemFOFtoCNF_X))
| ok(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,bad)) ),
introduced(tautology,[equality,[$cnf( ok(remove_cpq(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W),skolemFOFtoCNF_X)) ),[0],$fot(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,bad))]]) ).
cnf(refute_0_4,plain,
( ~ ok(remove_cpq(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W),skolemFOFtoCNF_X))
| contains_slb(skolemFOFtoCNF_V,skolemFOFtoCNF_X)
| ok(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,bad)) ),
inference(resolve,[$cnf( $equal(remove_cpq(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W),skolemFOFtoCNF_X),triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,bad)) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( contains_slb(skolemFOFtoCNF_V,skolemFOFtoCNF_X)
| ok(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,bad)) ),
inference(resolve,[$cnf( ok(remove_cpq(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,skolemFOFtoCNF_W),skolemFOFtoCNF_X)) )],[refute_0_0,refute_0_4]) ).
cnf(refute_0_6,plain,
~ contains_slb(skolemFOFtoCNF_V,skolemFOFtoCNF_X),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_7,plain,
ok(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,bad)),
inference(resolve,[$cnf( contains_slb(skolemFOFtoCNF_V,skolemFOFtoCNF_X) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
~ ok(triple(U,V,bad)),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_9,plain,
~ ok(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,bad)),
inference(subst,[],[refute_0_8:[bind(U,$fot(skolemFOFtoCNF_U)),bind(V,$fot(skolemFOFtoCNF_V))]]) ).
cnf(refute_0_10,plain,
$false,
inference(resolve,[$cnf( ok(triple(skolemFOFtoCNF_U,skolemFOFtoCNF_V,bad)) )],[refute_0_7,refute_0_9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWV397+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.36 % Computer : n004.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Wed Jun 15 18:44:24 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 52.40/52.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 52.40/52.57
% 52.40/52.57 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 52.40/52.57
%------------------------------------------------------------------------------