TSTP Solution File: SWV387+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV387+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 : 300s
% DateTime : Tue Apr 30 20:46:54 EDT 2024
% Result : Theorem 0.15s 0.32s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 6 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 46 ( 22 ~; 14 |; 5 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 28 ( 24 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f42,lemma,
! [U,V,W,X] :
( ( check_cpq(remove_cpq(triple(U,V,W),X))
& ok(remove_cpq(triple(U,V,W),X)) )
=> check_cpq(triple(U,V,W)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,conjecture,
! [U,V,W] :
( ~ check_cpq(triple(U,V,W))
=> ! [X] :
( ~ check_cpq(remove_cpq(triple(U,V,W),X))
| ~ ok(remove_cpq(triple(U,V,W),X)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
~ ! [U,V,W] :
( ~ check_cpq(triple(U,V,W))
=> ! [X] :
( ~ check_cpq(remove_cpq(triple(U,V,W),X))
| ~ ok(remove_cpq(triple(U,V,W),X)) ) ),
inference(negated_conjecture,[status(cth)],[f43]) ).
fof(f145,plain,
! [U,V,W,X] :
( ~ check_cpq(remove_cpq(triple(U,V,W),X))
| ~ ok(remove_cpq(triple(U,V,W),X))
| check_cpq(triple(U,V,W)) ),
inference(pre_NNF_transformation,[status(esa)],[f42]) ).
fof(f146,plain,
! [U,V,W] :
( ! [X] :
( ~ check_cpq(remove_cpq(triple(U,V,W),X))
| ~ ok(remove_cpq(triple(U,V,W),X)) )
| check_cpq(triple(U,V,W)) ),
inference(miniscoping,[status(esa)],[f145]) ).
fof(f147,plain,
! [X0,X1,X2,X3] :
( ~ check_cpq(remove_cpq(triple(X0,X1,X2),X3))
| ~ ok(remove_cpq(triple(X0,X1,X2),X3))
| check_cpq(triple(X0,X1,X2)) ),
inference(cnf_transformation,[status(esa)],[f146]) ).
fof(f148,plain,
? [U,V,W] :
( ~ check_cpq(triple(U,V,W))
& ? [X] :
( check_cpq(remove_cpq(triple(U,V,W),X))
& ok(remove_cpq(triple(U,V,W),X)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f44]) ).
fof(f149,plain,
( ~ check_cpq(triple(sk0_0,sk0_1,sk0_2))
& check_cpq(remove_cpq(triple(sk0_0,sk0_1,sk0_2),sk0_3))
& ok(remove_cpq(triple(sk0_0,sk0_1,sk0_2),sk0_3)) ),
inference(skolemization,[status(esa)],[f148]) ).
fof(f150,plain,
~ check_cpq(triple(sk0_0,sk0_1,sk0_2)),
inference(cnf_transformation,[status(esa)],[f149]) ).
fof(f151,plain,
check_cpq(remove_cpq(triple(sk0_0,sk0_1,sk0_2),sk0_3)),
inference(cnf_transformation,[status(esa)],[f149]) ).
fof(f152,plain,
ok(remove_cpq(triple(sk0_0,sk0_1,sk0_2),sk0_3)),
inference(cnf_transformation,[status(esa)],[f149]) ).
fof(f164,plain,
( spl0_2
<=> check_cpq(remove_cpq(triple(sk0_0,sk0_1,sk0_2),sk0_3)) ),
introduced(split_symbol_definition) ).
fof(f166,plain,
( ~ check_cpq(remove_cpq(triple(sk0_0,sk0_1,sk0_2),sk0_3))
| spl0_2 ),
inference(component_clause,[status(thm)],[f164]) ).
fof(f167,plain,
( spl0_3
<=> check_cpq(triple(sk0_0,sk0_1,sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f168,plain,
( check_cpq(triple(sk0_0,sk0_1,sk0_2))
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f167]) ).
fof(f170,plain,
( ~ check_cpq(remove_cpq(triple(sk0_0,sk0_1,sk0_2),sk0_3))
| check_cpq(triple(sk0_0,sk0_1,sk0_2)) ),
inference(resolution,[status(thm)],[f147,f152]) ).
fof(f171,plain,
( ~ spl0_2
| spl0_3 ),
inference(split_clause,[status(thm)],[f170,f164,f167]) ).
fof(f172,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f166,f151]) ).
fof(f173,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f172]) ).
fof(f174,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f168,f150]) ).
fof(f175,plain,
~ spl0_3,
inference(contradiction_clause,[status(thm)],[f174]) ).
fof(f176,plain,
$false,
inference(sat_refutation,[status(thm)],[f171,f173,f175]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SWV387+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n028.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Apr 30 00:56:14 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.6.0
% 0.15/0.32 % Refutation found
% 0.15/0.32 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.33 % Elapsed time: 0.017040 seconds
% 0.15/0.33 % CPU time: 0.022897 seconds
% 0.15/0.33 % Total memory used: 13.034 MB
% 0.15/0.33 % Net memory used: 12.988 MB
%------------------------------------------------------------------------------