%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC328+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 08:54:59 AM UTC 2026
% Result : Theorem 22.49s 3.73s
% Output : CNFRefutation 22.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 9 unt; 0 def)
% Number of atoms : 37 ( 9 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 37 ( 16 ~; 10 |; 2 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 10 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax57,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,nil) ) ).
fof(ax74,axiom,
equalelemsP(nil) ).
fof(co1,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( equalelemsP(X0)
& segmentP(X1,X0) )
| X0 != X2
| X1 != X3
| nil != X2 ) ) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( equalelemsP(X0)
& segmentP(X1,X0) )
| X0 != X2
| X1 != X3
| nil != X2 ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[co1]) ).
cnf(c150,plain,
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[ax57]) ).
cnf(c180,plain,
equalelemsP(nil),
inference(clausification,[status(esa)],[ax74]) ).
cnf(c209,plain,
ssList(sK254),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c212,plain,
nil = sK255,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c214,plain,
sK253 = sK255,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c215,plain,
( ~ equalelemsP(sK253)
| ~ segmentP(sK254,sK253) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
sK253 = nil,
inference(demodulation,[status(thm)],[c214,c212]) ).
cnf(d1,plain,
( ~ equalelemsP(sK253)
| ~ segmentP(sK254,nil) ),
inference(demodulation,[status(thm)],[c215,d0]) ).
cnf(d2,plain,
( ~ equalelemsP(nil)
| ~ segmentP(sK254,nil) ),
inference(demodulation,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
~ segmentP(sK254,nil),
inference(resolution,[status(thm)],[c180,d2]) ).
cnf(d4,plain,
~ ssList(sK254),
inference(resolution,[status(thm)],[c150,d3]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c209,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC328+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.45 % Computer : n014.cluster.edu
% 0.17/0.45 % Model : x86_64 x86_64
% 0.17/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.45 % Memory : 8046.5625MB
% 0.17/0.45 % OS : Linux 6.8.0-71-generic
% 0.17/0.45 % CPULimit : 300
% 0.17/0.45 % WCLimit : 300
% 0.17/0.45 % DateTime : Sat Sep 26 12:48:32 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.49/3.73 % SZS status Theorem for theBenchmark.p
% 22.49/3.73 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------