%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWC026+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 : 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 : Fri Sep 25 03:05:07 PM UTC 2026
% Result : Theorem 27.17s 4.04s
% Output : Proof 27.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 1
% Syntax : Number of formulae : 23 ( 9 unt; 0 def)
% Number of atoms : 85 ( 68 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 94 ( 32 ~; 28 |; 26 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 12 ( 0 sgn 8 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f95,conjecture,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( ( ( nil = V
| nil != U )
& ( nil = U
| nil != V ) )
| ( nil = X
& nil != W )
| ( nil = W
& nil != X )
| 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)
=> ( ( ( nil = V
| nil != U )
& ( nil = U
| nil != V ) )
| ( nil = X
& nil != W )
| ( nil = W
& nil != X )
| U != W
| V != X ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f95_nnf,plain,
? [U] :
( ? [V] :
( ? [W] :
( ? [X] :
( ( ( nil != V
& nil = U )
| ( nil != U
& nil = V ) )
& ( nil != X
| nil = W )
& ( nil != W
| nil = X )
& U = W
& V = X
& ssList(X) )
& ssList(W) )
& ssList(V) )
& ssList(U) ),
inference(nnf_transformation,[status(thm)],[f95_neg]) ).
fof(f95_sk,plain,
( ( ( nil != sk48
& nil = sk47 )
| ( nil != sk47
& nil = sk48 ) )
& ( nil != sk50
| nil = sk49 )
& ( nil != sk49
| nil = sk50 )
& sk47 = sk49
& sk48 = sk50
& ssList(sk50)
& ssList(sk49)
& ssList(sk48)
& ssList(sk47) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk47,sk48,sk49,sk50])],[f95_nnf]) ).
cnf(c198,plain,
( nil = sk47
| nil = sk48 ),
inference(cnf_transformation,[status(esa)],[f95_sk]) ).
cnf(c194,plain,
sk48 = sk50,
inference(cnf_transformation,[status(esa)],[f95_sk]) ).
cnf(p204,plain,
( nil = sk50
| nil = sk47 ),
inference(superposition,[status(thm)],[c198,c194]) ).
cnf(c197,plain,
( nil != sk50
| nil = sk49 ),
inference(cnf_transformation,[status(esa)],[f95_sk]) ).
cnf(p211,plain,
( nil = sk49
| nil = sk47 ),
inference(resolution,[status(thm)],[p204,c197]) ).
cnf(p213,plain,
( sk47 != sk49
| nil = sk47 ),
inference(equality_factoring,[status(thm)],[p211]) ).
cnf(c195,plain,
sk47 = sk49,
inference(cnf_transformation,[status(esa)],[f95_sk]) ).
cnf(p217,plain,
nil = sk47,
inference(resolution,[status(thm)],[p213,c195]) ).
cnf(c196,plain,
( nil != sk49
| nil = sk50 ),
inference(cnf_transformation,[status(esa)],[f95_sk]) ).
cnf(p205,plain,
( nil != sk47
| nil = sk50 ),
inference(superposition,[status(thm)],[c195,c196]) ).
cnf(p220,plain,
nil = sk50,
inference(resolution,[status(thm)],[p217,p205]) ).
cnf(p223,plain,
sk48 = nil,
inference(superposition,[status(thm)],[p220,c194]) ).
cnf(p218,plain,
nil = sk49,
inference(superposition,[status(thm)],[p217,c195]) ).
cnf(p221,plain,
sk47 = nil,
inference(superposition,[status(thm)],[p218,c195]) ).
cnf(c201,plain,
( nil != sk48
| nil != sk47 ),
inference(cnf_transformation,[status(esa)],[f95_sk]) ).
cnf(p222,plain,
( nil != sk48
| nil != nil ),
inference(demodulation,[status(thm)],[p221,c201]) ).
cnf(p224,plain,
( nil != nil
| nil != nil ),
inference(demodulation,[status(thm)],[p223,p222]) ).
cnf(p225,plain,
nil != nil,
inference(factoring,[status(thm)],[p224]) ).
cnf(p226,plain,
$false,
inference(equality_resolution,[status(thm)],[p225]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC026+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.12/0.38 % Computer : n014.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Thu Sep 24 15:58:47 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 27.17/4.04 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 27.17/4.04 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------