%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWC086+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 : n004.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 03:05:18 PM UTC 2026
% Result : Theorem 28.90s 9.69s
% Output : Proof 28.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 2
% Syntax : Number of formulae : 48 ( 18 unt; 0 def)
% Number of atoms : 139 ( 40 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 144 ( 53 ~; 54 |; 28 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 3 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 : 21 ( 0 sgn 13 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f54,axiom,
! [U] :
( ssList(U)
=> segmentP(U,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).
fof(f54_nnf,plain,
! [U] :
( segmentP(U,U)
| ~ ssList(U) ),
inference(nnf_transformation,[status(thm)],[f54]) ).
fof(f54_sk,plain,
! [U] :
( segmentP(U,U)
| ~ ssList(U) ),
inference(skolemisation,[status(esa)],[f54_nnf]) ).
cnf(c134,plain,
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(esa)],[f54_sk]) ).
fof(f95,conjecture,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( ( ( ~ segmentP(X,W)
| ~ neq(W,nil) )
& ( nil != W
| nil != X ) )
| ? [Y] :
( segmentP(U,Y)
& segmentP(V,Y)
& neq(Y,nil)
& ssList(Y) )
| ~ 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(X,W)
| ~ neq(W,nil) )
& ( nil != W
| nil != X ) )
| ? [Y] :
( segmentP(U,Y)
& segmentP(V,Y)
& neq(Y,nil)
& ssList(Y) )
| ~ neq(V,nil)
| U != W
| V != X ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f95_nnf,plain,
? [U] :
( ? [V] :
( ? [W] :
( ? [X] :
( ( ( segmentP(X,W)
& neq(W,nil) )
| ( nil = W
& nil = X ) )
& ! [Y] :
( ~ segmentP(U,Y)
| ~ segmentP(V,Y)
| ~ neq(Y,nil)
| ~ ssList(Y) )
& 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,
! [Y] :
( ( ( segmentP(sk50,sk49)
& neq(sk49,nil) )
| ( nil = sk49
& nil = sk50 ) )
& ( ~ segmentP(sk47,Y)
| ~ segmentP(sk48,Y)
| ~ neq(Y,nil)
| ~ ssList(Y) )
& 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(c190,plain,
ssList(sk47),
inference(cnf_transformation,[status(esa)],[f95_sk]) ).
cnf(p266,plain,
segmentP(sk47,sk47),
inference(resolution,[status(thm)],[c134,c190]) ).
cnf(c197,plain,
( ~ segmentP(sk47,X4)
| ~ segmentP(sk48,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) ),
inference(cnf_transformation,[status(esa)],[f95_sk]) ).
cnf(p203,plain,
( ~ segmentP(sk47,sk47)
| ~ segmentP(sk48,sk47)
| ~ neq(sk47,nil) ),
inference(resolution,[status(thm)],[c197,c190]) ).
cnf(c195,plain,
sk47 = sk49,
inference(cnf_transformation,[status(esa)],[f95_sk]) ).
cnf(c200,plain,
( neq(sk49,nil)
| nil = sk49 ),
inference(cnf_transformation,[status(esa)],[f95_sk]) ).
cnf(p210,plain,
( neq(sk47,nil)
| nil = sk49 ),
inference(superposition,[status(thm)],[c195,c200]) ).
cnf(p216,plain,
( nil = sk49
| ~ segmentP(sk47,sk47)
| ~ segmentP(sk48,sk47) ),
inference(resolution,[status(thm)],[p203,p210]) ).
cnf(c194,plain,
sk48 = sk50,
inference(cnf_transformation,[status(esa)],[f95_sk]) ).
cnf(c201,plain,
( segmentP(sk50,sk49)
| nil = sk49 ),
inference(cnf_transformation,[status(esa)],[f95_sk]) ).
cnf(p211,plain,
( segmentP(sk48,sk49)
| nil = sk49 ),
inference(superposition,[status(thm)],[c194,c201]) ).
cnf(p214,plain,
( segmentP(sk48,sk47)
| nil = sk49 ),
inference(superposition,[status(thm)],[c195,p211]) ).
cnf(p224,plain,
( nil = sk49
| nil = sk49
| ~ segmentP(sk47,sk47) ),
inference(resolution,[status(thm)],[p216,p214]) ).
cnf(p233,plain,
( nil = sk49
| ~ segmentP(sk47,sk47) ),
inference(factoring,[status(thm)],[p224]) ).
cnf(p272,plain,
nil = sk49,
inference(resolution,[status(thm)],[p266,p233]) ).
cnf(p291,plain,
sk47 = nil,
inference(superposition,[status(thm)],[p272,c195]) ).
cnf(c191,plain,
ssList(sk48),
inference(cnf_transformation,[status(esa)],[f95_sk]) ).
cnf(p267,plain,
segmentP(sk48,sk48),
inference(resolution,[status(thm)],[c134,c191]) ).
cnf(c193,plain,
ssList(sk50),
inference(cnf_transformation,[status(esa)],[f95_sk]) ).
cnf(p206,plain,
( ~ segmentP(sk47,sk50)
| ~ segmentP(sk48,sk50)
| ~ neq(sk50,nil) ),
inference(resolution,[status(thm)],[c197,c193]) ).
cnf(p221,plain,
( ~ segmentP(sk47,sk50)
| ~ segmentP(sk48,sk50)
| ~ neq(sk48,nil) ),
inference(superposition,[status(thm)],[c194,p206]) ).
cnf(c196,plain,
neq(sk48,nil),
inference(cnf_transformation,[status(esa)],[f95_sk]) ).
cnf(p230,plain,
( ~ segmentP(sk47,sk50)
| ~ segmentP(sk48,sk50) ),
inference(resolution,[status(thm)],[p221,c196]) ).
cnf(p231,plain,
( ~ segmentP(sk47,sk50)
| ~ segmentP(sk48,sk48) ),
inference(superposition,[status(thm)],[c194,p230]) ).
cnf(p274,plain,
~ segmentP(sk47,sk50),
inference(resolution,[status(thm)],[p267,p231]) ).
cnf(p294,plain,
~ segmentP(nil,sk50),
inference(demodulation,[status(thm)],[p291,p274]) ).
cnf(c198,plain,
( neq(sk49,nil)
| nil = sk50 ),
inference(cnf_transformation,[status(esa)],[f95_sk]) ).
cnf(p202,plain,
( neq(sk47,nil)
| nil = sk50 ),
inference(superposition,[status(thm)],[c195,c198]) ).
cnf(p215,plain,
( nil = sk50
| ~ segmentP(sk47,sk47)
| ~ segmentP(sk48,sk47) ),
inference(resolution,[status(thm)],[p203,p202]) ).
cnf(c199,plain,
( segmentP(sk50,sk49)
| nil = sk50 ),
inference(cnf_transformation,[status(esa)],[f95_sk]) ).
cnf(p208,plain,
( segmentP(sk48,sk49)
| nil = sk50 ),
inference(superposition,[status(thm)],[c194,c199]) ).
cnf(p213,plain,
( segmentP(sk48,sk47)
| nil = sk50 ),
inference(superposition,[status(thm)],[c195,p208]) ).
cnf(p222,plain,
( nil = sk50
| nil = sk50
| ~ segmentP(sk47,sk47) ),
inference(resolution,[status(thm)],[p215,p213]) ).
cnf(p232,plain,
( nil = sk50
| ~ segmentP(sk47,sk47) ),
inference(factoring,[status(thm)],[p222]) ).
cnf(p271,plain,
nil = sk50,
inference(resolution,[status(thm)],[p266,p232]) ).
cnf(p279,plain,
sk48 = nil,
inference(superposition,[status(thm)],[p271,c194]) ).
cnf(p269,plain,
segmentP(sk50,sk50),
inference(resolution,[status(thm)],[c134,c193]) ).
cnf(p277,plain,
segmentP(sk48,sk50),
inference(superposition,[status(thm)],[c194,p269]) ).
cnf(p289,plain,
segmentP(nil,sk50),
inference(demodulation,[status(thm)],[p279,p277]) ).
cnf(p302,plain,
$false,
inference(resolution,[status(thm)],[p294,p289]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC086+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/5.79 % Computer : n004.cluster.edu
% 0.10/5.79 % Model : x86_64 x86_64
% 0.10/5.79 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.79 % Memory : 8046.5625MB
% 0.10/5.79 % OS : Linux 6.8.0-71-generic
% 0.10/5.79 % CPULimit : 300
% 0.10/5.79 % WCLimit : 300
% 0.10/5.79 % DateTime : Thu Sep 24 16:18:44 UTC 2026
% 0.10/5.79 % CPUTime :
% 0.10/5.79 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 28.90/9.69 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 28.90/9.69 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------