%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV385+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 0.15s 0.46s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 6 unt; 3 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 64 ( 32 ~; 21 |; 4 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-3 aty)
% Number of variables : 27 ( 24 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f42,lemma,
! [U,V,W] :
( ~ ok(triple(U,V,W))
=> ~ ok(im_succ_cpq(triple(U,V,W))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,lemma,
! [U,V,W] :
( ~ check_cpq(triple(U,V,W))
=> ( ~ ok(im_succ_cpq(triple(U,V,W)))
| ~ check_cpq(im_succ_cpq(triple(U,V,W))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,conjecture,
! [U,V,W] :
( ( ~ ok(triple(U,V,W))
| ~ check_cpq(triple(U,V,W)) )
=> ( ~ ok(im_succ_cpq(triple(U,V,W)))
| ~ check_cpq(im_succ_cpq(triple(U,V,W))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
~ ! [U,V,W] :
( ( ~ ok(triple(U,V,W))
| ~ check_cpq(triple(U,V,W)) )
=> ( ~ ok(im_succ_cpq(triple(U,V,W)))
| ~ check_cpq(im_succ_cpq(triple(U,V,W))) ) ),
inference(negated_conjecture,[status(cth)],[f44]) ).
fof(f146,plain,
! [U,V,W] :
( ~ ok(im_succ_cpq(triple(U,V,W)))
| ok(triple(U,V,W)) ),
inference(pre_NNF_transformation,[status(thm)],[f42]) ).
fof(f147,plain,
! [X0,X1,X2] :
( ~ ok(im_succ_cpq(triple(X0,X1,X2)))
| ok(triple(X0,X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f148,plain,
! [U,V,W] :
( ~ ok(im_succ_cpq(triple(U,V,W)))
| ~ check_cpq(im_succ_cpq(triple(U,V,W)))
| check_cpq(triple(U,V,W)) ),
inference(pre_NNF_transformation,[status(thm)],[f43]) ).
fof(f149,plain,
! [X0,X1,X2] :
( ~ ok(im_succ_cpq(triple(X0,X1,X2)))
| ~ check_cpq(im_succ_cpq(triple(X0,X1,X2)))
| check_cpq(triple(X0,X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f148]) ).
fof(f150,plain,
? [U,V,W] :
( ok(im_succ_cpq(triple(U,V,W)))
& check_cpq(im_succ_cpq(triple(U,V,W)))
& ( ~ ok(triple(U,V,W))
| ~ check_cpq(triple(U,V,W)) ) ),
inference(pre_NNF_transformation,[status(thm)],[f45]) ).
fof(f151,plain,
( ok(im_succ_cpq(triple(sK0_skl,sK1_skl,sK2_skl)))
& check_cpq(im_succ_cpq(triple(sK0_skl,sK1_skl,sK2_skl)))
& ( ~ ok(triple(sK0_skl,sK1_skl,sK2_skl))
| ~ check_cpq(triple(sK0_skl,sK1_skl,sK2_skl)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(U,sK0_skl),skolemize(V,sK1_skl),skolemize(W,sK2_skl)],[f150]) ).
fof(f152,plain,
( ~ ok(triple(sK0_skl,sK1_skl,sK2_skl))
| ~ check_cpq(triple(sK0_skl,sK1_skl,sK2_skl)) ),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f153,plain,
check_cpq(im_succ_cpq(triple(sK0_skl,sK1_skl,sK2_skl))),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f154,plain,
ok(im_succ_cpq(triple(sK0_skl,sK1_skl,sK2_skl))),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f155,definition,
( sQ0_spl
<=> check_cpq(triple(sK0_skl,sK1_skl,sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f158,definition,
( sQ1_spl
<=> ok(triple(sK0_skl,sK1_skl,sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f160,plain,
( sQ1_spl
| ~ ok(triple(sK0_skl,sK1_skl,sK2_skl)) ),
inference(component_clause,[status(thm)],[f158]) ).
fof(f161,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f152,f155,f158]) ).
fof(f165,plain,
ok(triple(sK0_skl,sK1_skl,sK2_skl)),
inference(resolution,[status(thm)],[f147,f154]) ).
fof(f175,plain,
( ~ ok(im_succ_cpq(triple(sK0_skl,sK1_skl,sK2_skl)))
| check_cpq(triple(sK0_skl,sK1_skl,sK2_skl)) ),
inference(resolution,[status(thm)],[f149,f153]) ).
fof(f176,definition,
( sQ4_spl
<=> ok(im_succ_cpq(triple(sK0_skl,sK1_skl,sK2_skl))) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f178,plain,
( sQ4_spl
| ~ ok(im_succ_cpq(triple(sK0_skl,sK1_skl,sK2_skl))) ),
inference(component_clause,[status(thm)],[f176]) ).
fof(f179,plain,
( ~ sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f175,f155,f176]) ).
fof(f180,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f178,f154]) ).
fof(f181,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f180]) ).
fof(f182,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f160,f165]) ).
fof(f183,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f182]) ).
fof(f184,plain,
$false,
inference(sat_refutation,[status(thm)],[f161,f179,f181,f183]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV385+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.42 % Computer : n019.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Mon Sep 21 08:44:20 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.44 % Drodi V4.1.1
% 0.15/0.46 % Refutation found
% 0.15/0.46 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.51 % Elapsed time: 0.063728 seconds
% 0.15/0.51 % CPU time: 0.147709 seconds
% 0.15/0.51 % Total memory used: 48.433 MB
% 0.15/0.51 % Net memory used: 48.411 MB
%------------------------------------------------------------------------------