%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWC349+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 : n020.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 03:06:05 PM UTC 2026
% Result : Theorem 24.55s 3.58s
% Output : Proof 24.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 8 unt; 0 def)
% Number of atoms : 52 ( 15 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 52 ( 16 ~; 11 |; 16 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 16 ( 0 sgn 11 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f44,axiom,
! [U] :
( ssList(U)
=> frontsegP(U,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax45) ).
fof(f44_nnf,plain,
! [U] :
( frontsegP(U,nil)
| ~ ssList(U) ),
inference(nnf_transformation,[status(thm)],[f44]) ).
fof(f44_sk,plain,
! [U] :
( frontsegP(U,nil)
| ~ ssList(U) ),
inference(skolemisation,[status(esa)],[f44_nnf]) ).
cnf(c122,plain,
( frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(esa)],[f44_sk]) ).
fof(f95,conjecture,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( frontsegP(V,U)
| ~ neq(V,nil)
| U != W
| V != X
| nil != W ) ) ) ) ),
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)
=> ( frontsegP(V,U)
| ~ neq(V,nil)
| U != W
| V != X
| nil != W ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f95_nnf,plain,
? [U] :
( ? [V] :
( ? [W] :
( ? [X] :
( ~ frontsegP(V,U)
& neq(V,nil)
& U = W
& V = X
& nil = W
& ssList(X) )
& ssList(W) )
& ssList(V) )
& ssList(U) ),
inference(nnf_transformation,[status(thm)],[f95_neg]) ).
fof(f95_sk,plain,
( ~ frontsegP(sk48,sk47)
& neq(sk48,nil)
& sk47 = sk49
& sk48 = sk50
& nil = sk49
& ssList(sk50)
& ssList(sk49)
& ssList(sk48)
& ssList(sk47) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk47,sk48,sk49,sk50])],[f95_nnf]) ).
cnf(c191,plain,
ssList(sk48),
inference(cnf_transformation,[status(esa)],[f95_sk]) ).
cnf(p244,plain,
frontsegP(sk48,nil),
inference(resolution,[status(thm)],[c122,c191]) ).
cnf(c194,plain,
nil = sk49,
inference(cnf_transformation,[status(esa)],[f95_sk]) ).
cnf(c196,plain,
sk47 = sk49,
inference(cnf_transformation,[status(esa)],[f95_sk]) ).
cnf(p210,plain,
sk47 = nil,
inference(superposition,[status(thm)],[c194,c196]) ).
cnf(c198,plain,
~ frontsegP(sk48,sk47),
inference(cnf_transformation,[status(esa)],[f95_sk]) ).
cnf(p211,plain,
~ frontsegP(sk48,nil),
inference(demodulation,[status(thm)],[p210,c198]) ).
cnf(p246,plain,
$false,
inference(resolution,[status(thm)],[p244,p211]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC349+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.35 % Computer : n020.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Thu Sep 24 17:46:48 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 24.55/3.58 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.55/3.58 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------