%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC082+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 : Sun Sep 27 08:54:12 AM UTC 2026
% Result : Theorem 17.05s 9.42s
% Output : CNFRefutation 17.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 21 ( 10 unt; 0 def)
% Number of atoms : 71 ( 10 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 87 ( 37 ~; 30 |; 10 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 15 ( 0 sgn 10 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( neq(X3,nil)
& ! [X5] :
( ssList(X5)
=> ( ~ segmentP(X2,X5)
| ~ segmentP(X3,X5)
| ~ neq(X5,nil) ) ) )
| ( nil = X3
& nil != X2 )
| ? [X4] :
( segmentP(X0,X4)
& segmentP(X1,X4)
& neq(X4,nil)
& ssList(X4) )
| ~ neq(X1,nil)
| X0 != X2
| X1 != X3 ) ) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( neq(X3,nil)
& ! [X5] :
( ssList(X5)
=> ( ~ segmentP(X2,X5)
| ~ segmentP(X3,X5)
| ~ neq(X5,nil) ) ) )
| ( nil = X3
& nil != X2 )
| ? [X4] :
( segmentP(X0,X4)
& segmentP(X1,X4)
& neq(X4,nil)
& ssList(X4) )
| ~ neq(X1,nil)
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[co1]) ).
cnf(c212,plain,
sK254 = sK256,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c213,plain,
sK253 = sK255,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c214,plain,
neq(sK254,nil),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c215,plain,
( ~ segmentP(sK253,X0)
| ~ segmentP(sK254,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c217,plain,
( ~ neq(sK256,nil)
| ssList(sK258) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c218,plain,
( ~ neq(sK256,nil)
| neq(sK258,nil) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c219,plain,
( ~ neq(sK256,nil)
| segmentP(sK256,sK258) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c220,plain,
( ~ neq(sK256,nil)
| segmentP(sK255,sK258) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
neq(sK256,nil),
inference(demodulation,[status(thm)],[c214,c212]) ).
cnf(d1,plain,
segmentP(sK256,sK258),
inference(resolution,[status(thm)],[d0,c219]) ).
cnf(d2,plain,
( ~ segmentP(sK254,X0)
| ~ segmentP(sK255,X0)
| ~ ssList(X0)
| ~ neq(X0,nil) ),
inference(demodulation,[status(thm)],[c215,c213]) ).
cnf(d3,plain,
( ~ segmentP(sK256,X0)
| ~ segmentP(sK255,X0)
| ~ ssList(X0)
| ~ neq(X0,nil) ),
inference(demodulation,[status(thm)],[d2,c212]) ).
cnf(d4,plain,
( ~ segmentP(sK255,sK258)
| ~ ssList(sK258)
| ~ neq(sK258,nil) ),
inference(resolution,[status(thm)],[d3,d1]) ).
cnf(d5,plain,
ssList(sK258),
inference(resolution,[status(thm)],[d0,c217]) ).
cnf(d6,plain,
( ~ segmentP(sK255,sK258)
| ~ neq(sK258,nil) ),
inference(resolution,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
neq(sK258,nil),
inference(resolution,[status(thm)],[d0,c218]) ).
cnf(d8,plain,
~ segmentP(sK255,sK258),
inference(resolution,[status(thm)],[d7,d6]) ).
cnf(d9,plain,
segmentP(sK255,sK258),
inference(resolution,[status(thm)],[d0,c220]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[d9,d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC082+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/5.59 % Computer : n006.cluster.edu
% 0.12/5.59 % Model : x86_64 x86_64
% 0.12/5.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.59 % Memory : 8046.5625MB
% 0.12/5.59 % OS : Linux 6.8.0-71-generic
% 0.12/5.59 % CPULimit : 300
% 0.12/5.60 % WCLimit : 300
% 0.12/5.60 % DateTime : Sat Sep 26 12:12:49 UTC 2026
% 0.15/5.60 % CPUTime :
% 0.15/5.60 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.05/9.42 % SZS status Theorem for theBenchmark.p
% 17.05/9.42 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------