%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV383+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 : n020.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 02:47:32 PM UTC 2026
% Result : Theorem 0.14s 0.39s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 8 unt; 3 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 65 ( 29 ~; 20 |; 7 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-3 aty)
% Number of variables : 36 ( 30 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f42,lemma,
! [U,V,W] :
( ( ~ ok(triple(U,V,W))
| ~ check_cpq(triple(U,V,W)) )
=> ! [X,Y,Z] :
( succ_cpq(triple(U,V,W),triple(X,Y,Z))
=> ( ~ check_cpq(triple(X,Y,Z))
| ~ ok(triple(X,Y,Z)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,conjecture,
! [U,V,W] :
( ~ check_cpq(triple(U,V,W))
=> ! [X,Y,Z] :
( succ_cpq(triple(U,V,W),triple(X,Y,Z))
=> ( ~ check_cpq(triple(X,Y,Z))
| ~ ok(triple(X,Y,Z)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
~ ! [U,V,W] :
( ~ check_cpq(triple(U,V,W))
=> ! [X,Y,Z] :
( succ_cpq(triple(U,V,W),triple(X,Y,Z))
=> ( ~ check_cpq(triple(X,Y,Z))
| ~ ok(triple(X,Y,Z)) ) ) ),
inference(negated_conjecture,[status(cth)],[f43]) ).
fof(f145,plain,
! [U,V,W] :
( ! [X,Y,Z] :
( ~ check_cpq(triple(X,Y,Z))
| ~ ok(triple(X,Y,Z))
| ~ succ_cpq(triple(U,V,W),triple(X,Y,Z)) )
| ( ok(triple(U,V,W))
& check_cpq(triple(U,V,W)) ) ),
inference(pre_NNF_transformation,[status(thm)],[f42]) ).
fof(f146,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ check_cpq(triple(X3,X4,X5))
| ~ ok(triple(X3,X4,X5))
| ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
| check_cpq(triple(X0,X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f145]) ).
fof(f148,plain,
? [U,V,W] :
( ? [X,Y,Z] :
( check_cpq(triple(X,Y,Z))
& ok(triple(X,Y,Z))
& succ_cpq(triple(U,V,W),triple(X,Y,Z)) )
& ~ check_cpq(triple(U,V,W)) ),
inference(pre_NNF_transformation,[status(thm)],[f44]) ).
fof(f149,plain,
( check_cpq(triple(sK3_skl,sK4_skl,sK5_skl))
& ok(triple(sK3_skl,sK4_skl,sK5_skl))
& succ_cpq(triple(sK0_skl,sK1_skl,sK2_skl),triple(sK3_skl,sK4_skl,sK5_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,sK4_skl,sK5_skl]),skolemize(U,sK0_skl),skolemize(V,sK1_skl),skolemize(W,sK2_skl),skolemize(X,sK3_skl),skolemize(Y,sK4_skl),skolemize(Z,sK5_skl)],[f148]) ).
fof(f150,plain,
~ check_cpq(triple(sK0_skl,sK1_skl,sK2_skl)),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f151,plain,
succ_cpq(triple(sK0_skl,sK1_skl,sK2_skl),triple(sK3_skl,sK4_skl,sK5_skl)),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f152,plain,
ok(triple(sK3_skl,sK4_skl,sK5_skl)),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f153,plain,
check_cpq(triple(sK3_skl,sK4_skl,sK5_skl)),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f166,plain,
( ~ check_cpq(triple(sK3_skl,sK4_skl,sK5_skl))
| ~ ok(triple(sK3_skl,sK4_skl,sK5_skl))
| check_cpq(triple(sK0_skl,sK1_skl,sK2_skl)) ),
inference(resolution,[status(thm)],[f146,f151]) ).
fof(f168,definition,
( sQ2_spl
<=> check_cpq(triple(sK0_skl,sK1_skl,sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f169,plain,
( ~ sQ2_spl
| check_cpq(triple(sK0_skl,sK1_skl,sK2_skl)) ),
inference(component_clause,[status(thm)],[f168]) ).
fof(f171,definition,
( sQ3_spl
<=> ok(triple(sK3_skl,sK4_skl,sK5_skl)) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f173,plain,
( sQ3_spl
| ~ ok(triple(sK3_skl,sK4_skl,sK5_skl)) ),
inference(component_clause,[status(thm)],[f171]) ).
fof(f174,definition,
( sQ4_spl
<=> check_cpq(triple(sK3_skl,sK4_skl,sK5_skl)) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f176,plain,
( sQ4_spl
| ~ check_cpq(triple(sK3_skl,sK4_skl,sK5_skl)) ),
inference(component_clause,[status(thm)],[f174]) ).
fof(f177,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f166,f168,f171,f174]) ).
fof(f178,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f176,f153]) ).
fof(f179,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f178]) ).
fof(f180,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f169,f150]) ).
fof(f181,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f180]) ).
fof(f182,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f173,f152]) ).
fof(f183,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f182]) ).
fof(f184,plain,
$false,
inference(sat_refutation,[status(thm)],[f177,f179,f181,f183]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV383+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.35 % Computer : n020.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 08:45:02 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.43 % Elapsed time: 0.058249 seconds
% 0.14/0.43 % CPU time: 0.151942 seconds
% 0.14/0.43 % Total memory used: 103.113 MB
% 0.14/0.43 % Net memory used: 103.069 MB
%------------------------------------------------------------------------------