%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV387+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:47:33 PM UTC 2026
% Result : Theorem 0.10s 0.40s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 6 unt; 2 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] :
( ( ok(remove_cpq(triple(U,V,W),X))
& check_cpq(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] :
( ~ ok(remove_cpq(triple(U,V,W),X))
| ~ check_cpq(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] :
( ~ ok(remove_cpq(triple(U,V,W),X))
| ~ check_cpq(remove_cpq(triple(U,V,W),X)) ) ),
inference(negated_conjecture,[status(cth)],[f43]) ).
fof(f145,plain,
! [U,V,W,X] :
( check_cpq(triple(U,V,W))
| ~ ok(remove_cpq(triple(U,V,W),X))
| ~ check_cpq(remove_cpq(triple(U,V,W),X)) ),
inference(pre_NNF_transformation,[status(thm)],[f42]) ).
fof(f146,plain,
! [U,V,W] :
( check_cpq(triple(U,V,W))
| ! [X] :
( ~ ok(remove_cpq(triple(U,V,W),X))
| ~ check_cpq(remove_cpq(triple(U,V,W),X)) ) ),
inference(miniscoping,[status(thm)],[f145]) ).
fof(f147,plain,
! [X0,X1,X2,X3] :
( check_cpq(triple(X0,X1,X2))
| ~ ok(remove_cpq(triple(X0,X1,X2),X3))
| ~ check_cpq(remove_cpq(triple(X0,X1,X2),X3)) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f148,plain,
? [U,V,W] :
( ? [X] :
( ok(remove_cpq(triple(U,V,W),X))
& check_cpq(remove_cpq(triple(U,V,W),X)) )
& ~ check_cpq(triple(U,V,W)) ),
inference(pre_NNF_transformation,[status(thm)],[f44]) ).
fof(f149,plain,
( ok(remove_cpq(triple(sK0_skl,sK1_skl,sK2_skl),sK3_skl))
& check_cpq(remove_cpq(triple(sK0_skl,sK1_skl,sK2_skl),sK3_skl))
& ~ check_cpq(triple(sK0_skl,sK1_skl,sK2_skl)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(U,sK0_skl),skolemize(V,sK1_skl),skolemize(W,sK2_skl),skolemize(X,sK3_skl)],[f148]) ).
fof(f150,plain,
~ check_cpq(triple(sK0_skl,sK1_skl,sK2_skl)),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f151,plain,
check_cpq(remove_cpq(triple(sK0_skl,sK1_skl,sK2_skl),sK3_skl)),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f152,plain,
ok(remove_cpq(triple(sK0_skl,sK1_skl,sK2_skl),sK3_skl)),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f165,plain,
( check_cpq(triple(sK0_skl,sK1_skl,sK2_skl))
| ~ ok(remove_cpq(triple(sK0_skl,sK1_skl,sK2_skl),sK3_skl)) ),
inference(resolution,[status(thm)],[f147,f151]) ).
fof(f166,definition,
( sQ2_spl
<=> ok(remove_cpq(triple(sK0_skl,sK1_skl,sK2_skl),sK3_skl)) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f168,plain,
( sQ2_spl
| ~ ok(remove_cpq(triple(sK0_skl,sK1_skl,sK2_skl),sK3_skl)) ),
inference(component_clause,[status(thm)],[f166]) ).
fof(f169,definition,
( sQ3_spl
<=> check_cpq(triple(sK0_skl,sK1_skl,sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f170,plain,
( ~ sQ3_spl
| check_cpq(triple(sK0_skl,sK1_skl,sK2_skl)) ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f172,plain,
( sQ3_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f165,f166,f169]) ).
fof(f173,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f168,f152]) ).
fof(f174,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f173]) ).
fof(f175,plain,
( ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f170,f150]) ).
fof(f176,plain,
~ sQ3_spl,
inference(contradiction_clause,[status(thm)],[f175]) ).
fof(f177,plain,
$false,
inference(sat_refutation,[status(thm)],[f172,f174,f176]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV387+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n018.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 08:46:14 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.40 % Refutation found
% 0.10/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.42 % Elapsed time: 0.048446 seconds
% 0.10/0.42 % CPU time: 0.126505 seconds
% 0.10/0.42 % Total memory used: 83.701 MB
% 0.10/0.42 % Net memory used: 83.656 MB
%------------------------------------------------------------------------------