%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC375+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 02:40:59 PM UTC 2026
% Result : Theorem 0.14s 0.39s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 27 ( 5 unt; 2 def)
% Number of atoms : 91 ( 16 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 95 ( 31 ~; 30 |; 22 &)
% ( 2 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 15 ( 10 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f96,conjecture,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( ! [Y] :
( ssItem(Y)
=> ( ( memberP(U,Y)
& memberP(V,Y) )
| ( ~ memberP(U,Y)
& ~ memberP(V,Y) ) ) )
| X != W
| U != W
| V != X ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f97,negated_conjecture,
~ ! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( ! [Y] :
( ssItem(Y)
=> ( ( memberP(U,Y)
& memberP(V,Y) )
| ( ~ memberP(U,Y)
& ~ memberP(V,Y) ) ) )
| X != W
| U != W
| V != X ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f415,plain,
? [U] :
( ? [V] :
( ? [W] :
( ? [X] :
( ? [Y] :
( ( ~ memberP(U,Y)
| ~ memberP(V,Y) )
& ( memberP(U,Y)
| memberP(V,Y) )
& ssItem(Y) )
& X = W
& U = W
& V = X
& ssList(X) )
& ssList(W) )
& ssList(V) )
& ssList(U) ),
inference(pre_NNF_transformation,[status(thm)],[f97]) ).
fof(f416,plain,
( ( ~ memberP(sK47_skl,sK51_skl)
| ~ memberP(sK48_skl,sK51_skl) )
& ( memberP(sK47_skl,sK51_skl)
| memberP(sK48_skl,sK51_skl) )
& ssItem(sK51_skl)
& sK50_skl = sK49_skl
& sK47_skl = sK49_skl
& sK48_skl = sK50_skl
& ssList(sK50_skl)
& ssList(sK49_skl)
& ssList(sK48_skl)
& ssList(sK47_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK47_skl,sK48_skl,sK49_skl,sK50_skl,sK51_skl]),skolemize(U,sK47_skl),skolemize(V,sK48_skl),skolemize(W,sK49_skl),skolemize(X,sK50_skl),skolemize(Y,sK51_skl)],[f415]) ).
fof(f421,plain,
sK48_skl = sK50_skl,
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f422,plain,
sK47_skl = sK49_skl,
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f423,plain,
sK50_skl = sK49_skl,
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f425,plain,
( memberP(sK47_skl,sK51_skl)
| memberP(sK48_skl,sK51_skl) ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f426,plain,
( ~ memberP(sK47_skl,sK51_skl)
| ~ memberP(sK48_skl,sK51_skl) ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f427,definition,
( sQ0_spl
<=> memberP(sK48_skl,sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f428,plain,
( ~ sQ0_spl
| memberP(sK48_skl,sK51_skl) ),
inference(component_clause,[status(thm)],[f427]) ).
fof(f429,plain,
( sQ0_spl
| ~ memberP(sK48_skl,sK51_skl) ),
inference(component_clause,[status(thm)],[f427]) ).
fof(f430,definition,
( sQ1_spl
<=> memberP(sK47_skl,sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f431,plain,
( ~ sQ1_spl
| memberP(sK47_skl,sK51_skl) ),
inference(component_clause,[status(thm)],[f430]) ).
fof(f432,plain,
( sQ1_spl
| ~ memberP(sK47_skl,sK51_skl) ),
inference(component_clause,[status(thm)],[f430]) ).
fof(f433,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f425,f427,f430]) ).
fof(f434,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f426,f427,f430]) ).
fof(f467,plain,
sK47_skl = sK50_skl,
inference(backward_demodulation,[status(thm)],[f423,f422]) ).
fof(f469,plain,
( sQ0_spl
| ~ memberP(sK50_skl,sK51_skl) ),
inference(forward_demodulation,[status(thm)],[f421,f429]) ).
fof(f470,plain,
( ~ sQ1_spl
| memberP(sK50_skl,sK51_skl) ),
inference(forward_demodulation,[status(thm)],[f467,f431]) ).
fof(f471,plain,
( ~ sQ1_spl
| sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f470,f469]) ).
fof(f472,plain,
( ~ sQ1_spl
| sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f471]) ).
fof(f473,plain,
( ~ sQ0_spl
| memberP(sK50_skl,sK51_skl) ),
inference(forward_demodulation,[status(thm)],[f421,f428]) ).
fof(f474,plain,
( sQ1_spl
| ~ memberP(sK50_skl,sK51_skl) ),
inference(forward_demodulation,[status(thm)],[f467,f432]) ).
fof(f475,plain,
( sQ1_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f474,f473]) ).
fof(f476,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f475]) ).
fof(f477,plain,
$false,
inference(sat_refutation,[status(thm)],[f433,f434,f472,f476]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC375+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n010.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % 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 08:20:10 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.14/0.38 % 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
% 0.14/0.42 % Elapsed time: 0.044558 seconds
% 0.14/0.42 % CPU time: 0.088896 seconds
% 0.14/0.42 % Total memory used: 17.281 MB
% 0.14/0.42 % Net memory used: 17.252 MB
%------------------------------------------------------------------------------