%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWC385+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n005.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 03:06:12 PM UTC 2026
% Result : Theorem 23.15s 3.33s
% Output : Proof 23.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 17 ( 10 unt; 0 def)
% Number of atoms : 64 ( 10 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 69 ( 22 ~; 17 |; 22 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 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 : 12 ( 0 sgn 8 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f95,conjecture,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( ( segmentP(V,U)
& singletonP(U) )
| ( neq(X,nil)
& ~ singletonP(W) )
| ~ segmentP(X,W)
| ~ neq(V,nil)
| U != W
| V != X ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f95_neg,negated_conjecture,
~ ! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( ( segmentP(V,U)
& singletonP(U) )
| ( neq(X,nil)
& ~ singletonP(W) )
| ~ segmentP(X,W)
| ~ neq(V,nil)
| U != W
| V != X ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f95_nnf,plain,
? [U] :
( ? [V] :
( ? [W] :
( ? [X] :
( ( ~ segmentP(V,U)
| ~ singletonP(U) )
& ( ~ neq(X,nil)
| singletonP(W) )
& segmentP(X,W)
& neq(V,nil)
& U = W
& V = X
& ssList(X) )
& ssList(W) )
& ssList(V) )
& ssList(U) ),
inference(nnf_transformation,[status(thm)],[f95_neg]) ).
fof(f95_sk,plain,
( ( ~ segmentP(sk48,sk47)
| ~ singletonP(sk47) )
& ( ~ neq(sk50,nil)
| singletonP(sk49) )
& segmentP(sk50,sk49)
& neq(sk48,nil)
& 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(c199,plain,
( ~ segmentP(sk48,sk47)
| ~ singletonP(sk47) ),
inference(cnf_transformation,[status(esa)],[f95_sk]) ).
cnf(c195,plain,
sk47 = sk49,
inference(cnf_transformation,[status(esa)],[f95_sk]) ).
cnf(c194,plain,
sk48 = sk50,
inference(cnf_transformation,[status(esa)],[f95_sk]) ).
cnf(c198,plain,
( ~ neq(sk50,nil)
| singletonP(sk49) ),
inference(cnf_transformation,[status(esa)],[f95_sk]) ).
cnf(p200,plain,
( ~ neq(sk48,nil)
| singletonP(sk49) ),
inference(superposition,[status(thm)],[c194,c198]) ).
cnf(c196,plain,
neq(sk48,nil),
inference(cnf_transformation,[status(esa)],[f95_sk]) ).
cnf(p204,plain,
singletonP(sk49),
inference(resolution,[status(thm)],[p200,c196]) ).
cnf(p205,plain,
singletonP(sk47),
inference(superposition,[status(thm)],[c195,p204]) ).
cnf(p206,plain,
~ segmentP(sk48,sk47),
inference(resolution,[status(thm)],[c199,p205]) ).
cnf(c197,plain,
segmentP(sk50,sk49),
inference(cnf_transformation,[status(esa)],[f95_sk]) ).
cnf(p201,plain,
segmentP(sk48,sk49),
inference(superposition,[status(thm)],[c194,c197]) ).
cnf(p203,plain,
segmentP(sk48,sk47),
inference(superposition,[status(thm)],[c195,p201]) ).
cnf(p207,plain,
$false,
inference(resolution,[status(thm)],[p206,p203]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC385+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n005.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 17:58:02 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 23.15/3.33 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 23.15/3.33 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------