%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWC001+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n001.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 : Fri Sep 25 03:05:03 PM UTC 2026
% Result : Theorem 21.04s 3.64s
% Output : Proof 21.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 1
% Syntax : Number of formulae : 27 ( 10 unt; 0 def)
% Number of atoms : 112 ( 10 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 128 ( 43 ~; 41 |; 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 : 21 ( 0 sgn 12 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f95,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/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f95_neg,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)],[f95]) ).
fof(f95_nnf,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(nnf_transformation,[status(thm)],[f95_neg]) ).
fof(f95_sk,plain,
! [Y] :
( ( ~ duplicatefreeP(sk47)
| ( ( ~ memberP(sk47,sk51)
| ~ memberP(sk48,sk51) )
& ( memberP(sk47,sk51)
| memberP(sk48,sk51) )
& ssItem(sk51) ) )
& ( ( ( ~ memberP(sk50,Y)
| memberP(sk49,Y) )
& ( ~ memberP(sk49,Y)
| memberP(sk50,Y) ) )
| ~ ssItem(Y) )
& duplicatefreeP(sk49)
& sk47 = sk49
& sk48 = sk50
& ssList(sk50)
& ssList(sk49)
& ssList(sk48)
& ssList(sk47) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk47,sk48,sk49,sk50,sk51])],[f95_nnf]) ).
cnf(c194,plain,
sk48 = sk50,
inference(cnf_transformation,[status(esa)],[f95_sk]) ).
cnf(c195,plain,
sk47 = sk49,
inference(cnf_transformation,[status(esa)],[f95_sk]) ).
cnf(c199,plain,
( ~ duplicatefreeP(sk47)
| ssItem(sk51) ),
inference(cnf_transformation,[status(esa)],[f95_sk]) ).
cnf(c196,plain,
duplicatefreeP(sk49),
inference(cnf_transformation,[status(esa)],[f95_sk]) ).
cnf(p207,plain,
duplicatefreeP(sk47),
inference(superposition,[status(thm)],[c195,c196]) ).
cnf(p221,plain,
ssItem(sk51),
inference(resolution,[status(thm)],[c199,p207]) ).
cnf(c198,plain,
( ~ memberP(sk50,X4)
| memberP(sk49,X4)
| ~ ssItem(X4) ),
inference(cnf_transformation,[status(esa)],[f95_sk]) ).
cnf(p222,plain,
( ~ memberP(sk50,sk51)
| memberP(sk49,sk51) ),
inference(resolution,[status(thm)],[p221,c198]) ).
cnf(p231,plain,
( ~ memberP(sk48,sk51)
| memberP(sk49,sk51) ),
inference(superposition,[status(thm)],[c194,p222]) ).
cnf(c200,plain,
( ~ duplicatefreeP(sk47)
| memberP(sk47,sk51)
| memberP(sk48,sk51) ),
inference(cnf_transformation,[status(esa)],[f95_sk]) ).
cnf(p216,plain,
( memberP(sk47,sk51)
| memberP(sk48,sk51) ),
inference(resolution,[status(thm)],[c200,p207]) ).
cnf(p237,plain,
( memberP(sk47,sk51)
| memberP(sk49,sk51) ),
inference(resolution,[status(thm)],[p231,p216]) ).
cnf(p238,plain,
( memberP(sk47,sk51)
| memberP(sk47,sk51) ),
inference(superposition,[status(thm)],[c195,p237]) ).
cnf(p240,plain,
memberP(sk47,sk51),
inference(factoring,[status(thm)],[p238]) ).
cnf(c197,plain,
( ~ memberP(sk49,X4)
| memberP(sk50,X4)
| ~ ssItem(X4) ),
inference(cnf_transformation,[status(esa)],[f95_sk]) ).
cnf(p225,plain,
( ~ memberP(sk49,sk51)
| memberP(sk50,sk51) ),
inference(resolution,[status(thm)],[p221,c197]) ).
cnf(p232,plain,
( ~ memberP(sk47,sk51)
| memberP(sk50,sk51) ),
inference(superposition,[status(thm)],[c195,p225]) ).
cnf(p250,plain,
memberP(sk50,sk51),
inference(resolution,[status(thm)],[p240,p232]) ).
cnf(p251,plain,
memberP(sk48,sk51),
inference(superposition,[status(thm)],[c194,p250]) ).
cnf(c201,plain,
( ~ duplicatefreeP(sk47)
| ~ memberP(sk47,sk51)
| ~ memberP(sk48,sk51) ),
inference(cnf_transformation,[status(esa)],[f95_sk]) ).
cnf(p253,plain,
( ~ duplicatefreeP(sk47)
| ~ memberP(sk47,sk51) ),
inference(resolution,[status(thm)],[p251,c201]) ).
cnf(p258,plain,
~ duplicatefreeP(sk47),
inference(resolution,[status(thm)],[p253,p240]) ).
cnf(p259,plain,
$false,
inference(resolution,[status(thm)],[p258,p207]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC001+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.36 % Computer : n001.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 15:56:54 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 21.04/3.64 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 21.04/3.64 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------