%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC026+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 : n015.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 08:53:59 AM UTC 2026
% Result : Theorem 18.26s 4.45s
% Output : CNFRefutation 18.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 18 ( 7 unt; 0 def)
% Number of atoms : 54 ( 45 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 60 ( 24 ~; 22 |; 6 &)
% ( 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 : 8 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( nil = X1
| nil != X0 )
& ( nil = X0
| nil != X1 ) )
| ( nil = X3
& nil != X2 )
| ( nil = X2
& nil != X3 )
| X0 != X2
| X1 != X3 ) ) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( nil = X1
| nil != X0 )
& ( nil = X0
| nil != X1 ) )
| ( nil = X3
& nil != X2 )
| ( nil = X2
& nil != X3 )
| 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,
( nil != sK255
| nil = sK256 ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c215,plain,
( nil != sK256
| nil = sK255 ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c216,plain,
( nil = sK253
| nil = sK254 ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c219,plain,
( nil != sK254
| nil != sK253 ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( nil = sK256
| nil != sK253 ),
inference(demodulation,[status(thm)],[c214,c213]) ).
cnf(d1,plain,
( nil = sK254
| nil != sK253 ),
inference(demodulation,[status(thm)],[d0,c212]) ).
cnf(d2,plain,
( nil != sK256
| nil = sK253 ),
inference(demodulation,[status(thm)],[c215,c213]) ).
cnf(d3,plain,
( nil != sK254
| nil = sK253 ),
inference(demodulation,[status(thm)],[d2,c212]) ).
cnf(d4,plain,
( nil = sK253
| nil = sK253
| nil != nil ),
inference(superposition,[status(thm)],[c216,d3]) ).
cnf(d5,plain,
nil = sK253,
inference(equality_resolution,[status(thm)],[d4]) ).
cnf(d6,plain,
nil = sK254,
inference(resolution,[status(thm)],[d5,d1]) ).
cnf(d7,plain,
nil != sK254,
inference(resolution,[status(thm)],[d5,c219]) ).
cnf(d8,plain,
nil != nil,
inference(demodulation,[status(thm)],[d7,d6]) ).
cnf(d9,plain,
$false,
inference(equality_resolution,[status(thm)],[d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC026+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n015.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sat Sep 26 12:08:45 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.26/4.45 % SZS status Theorem for theBenchmark.p
% 18.26/4.45 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------