%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC001+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 02:39:32 PM UTC 2026
% Result : Theorem 0.03s 0.55s
% Output : CNFRefutation 0.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 27 ( 8 unt; 0 def)
% Number of atoms : 120 ( 10 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 147 ( 54 ~; 49 |; 34 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 25 ( 18 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f96,conjecture,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( ( duplicatefreeP(U)
& ! [Z] :
( ssItem(Z)
=> ( ( memberP(U,Z)
& memberP(V,Z) )
| ( ~ memberP(U,Z)
& ~ memberP(V,Z) ) ) ) )
| ? [Y] :
( ( ( memberP(X,Y)
& ~ memberP(W,Y) )
| ( memberP(W,Y)
& ~ memberP(X,Y) ) )
& ssItem(Y) )
| ~ duplicatefreeP(W)
| U != W
| V != X ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f97,negated_conjecture,
~ ! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( ( duplicatefreeP(U)
& ! [Z] :
( ssItem(Z)
=> ( ( memberP(U,Z)
& memberP(V,Z) )
| ( ~ memberP(U,Z)
& ~ memberP(V,Z) ) ) ) )
| ? [Y] :
( ( ( memberP(X,Y)
& ~ memberP(W,Y) )
| ( memberP(W,Y)
& ~ memberP(X,Y) ) )
& ssItem(Y) )
| ~ duplicatefreeP(W)
| U != W
| V != X ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f415,plain,
? [U] :
( ? [V] :
( ? [W] :
( ? [X] :
( ( ~ duplicatefreeP(U)
| ? [Z] :
( ( ~ memberP(U,Z)
| ~ memberP(V,Z) )
& ( memberP(U,Z)
| memberP(V,Z) )
& ssItem(Z) ) )
& ! [Y] :
( ( ( ~ memberP(X,Y)
| memberP(W,Y) )
& ( ~ memberP(W,Y)
| memberP(X,Y) ) )
| ~ ssItem(Y) )
& duplicatefreeP(W)
& U = W
& V = X
& ssList(X) )
& ssList(W) )
& ssList(V) )
& ssList(U) ),
inference(pre_NNF_transformation,[status(thm)],[f97]) ).
fof(f416,plain,
( ( ~ duplicatefreeP(sK47_skl)
| ( ( ~ memberP(sK47_skl,sK51_skl)
| ~ memberP(sK48_skl,sK51_skl) )
& ( memberP(sK47_skl,sK51_skl)
| memberP(sK48_skl,sK51_skl) )
& ssItem(sK51_skl) ) )
& ! [Y] :
( ( ( ~ memberP(sK50_skl,Y)
| memberP(sK49_skl,Y) )
& ( ~ memberP(sK49_skl,Y)
| memberP(sK50_skl,Y) ) )
| ~ ssItem(Y) )
& duplicatefreeP(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(Z,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,
duplicatefreeP(sK49_skl),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f424,plain,
! [X0] :
( ~ memberP(sK49_skl,X0)
| memberP(sK50_skl,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f425,plain,
! [X0] :
( ~ memberP(sK50_skl,X0)
| memberP(sK49_skl,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f426,plain,
( ~ duplicatefreeP(sK47_skl)
| ssItem(sK51_skl) ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f427,plain,
( ~ duplicatefreeP(sK47_skl)
| memberP(sK47_skl,sK51_skl)
| memberP(sK48_skl,sK51_skl) ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f428,plain,
( ~ duplicatefreeP(sK47_skl)
| ~ memberP(sK47_skl,sK51_skl)
| ~ memberP(sK48_skl,sK51_skl) ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f461,plain,
duplicatefreeP(sK47_skl),
inference(forward_demodulation,[status(thm)],[f422,f423]) ).
fof(f462,plain,
ssItem(sK51_skl),
inference(forward_subsumption_resolution,[status(thm)],[f426,f461]) ).
fof(f464,plain,
! [X0] :
( ~ memberP(sK49_skl,X0)
| memberP(sK48_skl,X0)
| ~ ssItem(X0) ),
inference(forward_demodulation,[status(thm)],[f421,f424]) ).
fof(f465,plain,
! [X0] :
( ~ memberP(sK47_skl,X0)
| memberP(sK48_skl,X0)
| ~ ssItem(X0) ),
inference(forward_demodulation,[status(thm)],[f422,f464]) ).
fof(f466,plain,
! [X0] :
( ~ memberP(sK50_skl,X0)
| memberP(sK47_skl,X0)
| ~ ssItem(X0) ),
inference(forward_demodulation,[status(thm)],[f422,f425]) ).
fof(f467,plain,
! [X0] :
( ~ memberP(sK48_skl,X0)
| memberP(sK47_skl,X0)
| ~ ssItem(X0) ),
inference(forward_demodulation,[status(thm)],[f421,f466]) ).
fof(f469,plain,
( memberP(sK47_skl,sK51_skl)
| memberP(sK48_skl,sK51_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f427,f461]) ).
fof(f470,plain,
( memberP(sK47_skl,sK51_skl)
| ~ ssItem(sK51_skl)
| memberP(sK47_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f469,f467]) ).
fof(f471,plain,
( ~ ssItem(sK51_skl)
| memberP(sK47_skl,sK51_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f470]) ).
fof(f472,plain,
memberP(sK47_skl,sK51_skl),
inference(forward_subsumption_resolution,[status(thm)],[f471,f462]) ).
fof(f473,plain,
( ~ memberP(sK47_skl,sK51_skl)
| ~ memberP(sK48_skl,sK51_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f428,f461]) ).
fof(f475,plain,
( ~ memberP(sK47_skl,sK51_skl)
| ~ ssItem(sK51_skl)
| ~ memberP(sK47_skl,sK51_skl) ),
inference(resolution,[status(thm)],[f473,f465]) ).
fof(f476,plain,
( ~ ssItem(sK51_skl)
| ~ memberP(sK47_skl,sK51_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f475]) ).
fof(f477,plain,
~ memberP(sK47_skl,sK51_skl),
inference(forward_subsumption_resolution,[status(thm)],[f476,f462]) ).
fof(f479,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f477,f472]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWC001+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.52 % Computer : n012.cluster.edu
% 0.03/0.52 % Model : x86_64 x86_64
% 0.03/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.52 % Memory : 8046.5625MB
% 0.03/0.52 % OS : Linux 6.8.0-71-generic
% 0.03/0.52 % CPULimit : 300
% 0.03/0.52 % WCLimit : 300
% 0.03/0.52 % DateTime : Mon Sep 21 07:47:40 UTC 2026
% 0.03/0.53 % CPUTime :
% 0.03/0.54 % Drodi V4.1.1
% 0.03/0.55 % Refutation found
% 0.03/0.55 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.03/0.55 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.03/0.58 % Elapsed time: 0.042840 seconds
% 0.03/0.58 % CPU time: 0.114283 seconds
% 0.03/0.58 % Total memory used: 110.552 MB
% 0.03/0.58 % Net memory used: 110.420 MB
%------------------------------------------------------------------------------