%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV397+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 : n014.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 02:47:34 PM UTC 2026
% Result : Theorem 0.12s 0.39s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 7 unt; 2 def)
% Number of atoms : 51 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 40 ( 16 ~; 13 |; 5 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-3 aty)
% Number of variables : 44 ( 36 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f28,axiom,
! [U,V] :
( ok(triple(U,V,bad))
<=> $false ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [U,V,W,X] :
( ~ contains_slb(V,X)
=> remove_cpq(triple(U,V,W),X) = triple(U,V,bad) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,conjecture,
! [U,V,W,X] :
( ok(remove_cpq(triple(U,V,W),X))
=> contains_slb(V,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,negated_conjecture,
~ ! [U,V,W,X] :
( ok(remove_cpq(triple(U,V,W),X))
=> contains_slb(V,X) ),
inference(negated_conjecture,[status(cth)],[f42]) ).
fof(f111,plain,
! [U,V] :
( ( $true
| ok(triple(U,V,bad)) )
& ( $false
| ~ ok(triple(U,V,bad)) ) ),
inference(NNF_transformation,[status(thm)],[f28]) ).
fof(f112,plain,
( ( $true
| ! [U,V] : ok(triple(U,V,bad)) )
& ( $false
| ! [U,V] : ~ ok(triple(U,V,bad)) ) ),
inference(miniscoping,[status(thm)],[f111]) ).
fof(f113,plain,
! [U,V] : ~ ok(triple(U,V,bad)),
inference(true_and_false_simplification,[status(thm)],[f112]) ).
fof(f114,plain,
! [X0,X1] : ~ ok(triple(X0,X1,bad)),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f119,plain,
! [U,V,W,X] :
( remove_cpq(triple(U,V,W),X) = triple(U,V,bad)
| contains_slb(V,X) ),
inference(pre_NNF_transformation,[status(thm)],[f31]) ).
fof(f120,plain,
! [V,X] :
( ! [U,W] : remove_cpq(triple(U,V,W),X) = triple(U,V,bad)
| contains_slb(V,X) ),
inference(miniscoping,[status(thm)],[f119]) ).
fof(f121,plain,
! [X0,X1,X2,X3] :
( remove_cpq(triple(X2,X0,X3),X1) = triple(X2,X0,bad)
| contains_slb(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f120]) ).
fof(f144,plain,
? [U,V,W,X] :
( ~ contains_slb(V,X)
& ok(remove_cpq(triple(U,V,W),X)) ),
inference(pre_NNF_transformation,[status(thm)],[f43]) ).
fof(f145,plain,
? [V,X] :
( ~ contains_slb(V,X)
& ? [U,W] : ok(remove_cpq(triple(U,V,W),X)) ),
inference(miniscoping,[status(thm)],[f144]) ).
fof(f146,plain,
( ~ contains_slb(sK0_skl,sK1_skl)
& ok(remove_cpq(triple(sK2_skl,sK0_skl,sK3_skl),sK1_skl)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(V,sK0_skl),skolemize(X,sK1_skl),skolemize(U,sK2_skl),skolemize(W,sK3_skl)],[f145]) ).
fof(f147,plain,
ok(remove_cpq(triple(sK2_skl,sK0_skl,sK3_skl),sK1_skl)),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f148,plain,
~ contains_slb(sK0_skl,sK1_skl),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f154,plain,
( contains_slb(sK0_skl,sK1_skl)
| ok(triple(sK2_skl,sK0_skl,bad)) ),
inference(paramodulation,[status(thm)],[f121,f147]) ).
fof(f156,definition,
( sQ0_spl
<=> ok(triple(sK2_skl,sK0_skl,bad)) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f157,plain,
( ~ sQ0_spl
| ok(triple(sK2_skl,sK0_skl,bad)) ),
inference(component_clause,[status(thm)],[f156]) ).
fof(f159,definition,
( sQ1_spl
<=> contains_slb(sK0_skl,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f160,plain,
( ~ sQ1_spl
| contains_slb(sK0_skl,sK1_skl) ),
inference(component_clause,[status(thm)],[f159]) ).
fof(f162,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f154,f156,f159]) ).
fof(f163,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f157,f114]) ).
fof(f164,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f163]) ).
fof(f165,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f160,f148]) ).
fof(f166,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f165]) ).
fof(f167,plain,
$false,
inference(sat_refutation,[status(thm)],[f162,f164,f166]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV397+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n014.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 08:44:50 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.42 % Elapsed time: 0.057160 seconds
% 0.12/0.42 % CPU time: 0.148260 seconds
% 0.12/0.42 % Total memory used: 102.884 MB
% 0.12/0.42 % Net memory used: 102.830 MB
%------------------------------------------------------------------------------