%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC385+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 08:55:12 AM UTC 2026
% Result : Theorem 22.38s 8.35s
% Output : CNFRefutation 22.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 15 ( 9 unt; 0 def)
% Number of atoms : 41 ( 6 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 43 ( 17 ~; 14 |; 4 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 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 : 8 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( segmentP(X1,X0)
& singletonP(X0) )
| ( neq(X3,nil)
& ~ singletonP(X2) )
| ~ segmentP(X3,X2)
| ~ neq(X1,nil)
| X0 != X2
| X1 != X3 ) ) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( segmentP(X1,X0)
& singletonP(X0) )
| ( neq(X3,nil)
& ~ singletonP(X2) )
| ~ segmentP(X3,X2)
| ~ 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(sK256,sK255),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c216,plain,
( ~ neq(sK256,nil)
| singletonP(sK255) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c217,plain,
( ~ segmentP(sK254,sK253)
| ~ singletonP(sK253) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
segmentP(sK254,sK255),
inference(demodulation,[status(thm)],[c215,c212]) ).
cnf(d1,plain,
segmentP(sK254,sK253),
inference(demodulation,[status(thm)],[d0,c213]) ).
cnf(d2,plain,
~ singletonP(sK253),
inference(resolution,[status(thm)],[d1,c217]) ).
cnf(d3,plain,
( singletonP(sK255)
| ~ neq(sK254,nil) ),
inference(demodulation,[status(thm)],[c216,c212]) ).
cnf(d4,plain,
( singletonP(sK253)
| ~ neq(sK254,nil) ),
inference(demodulation,[status(thm)],[d3,c213]) ).
cnf(d5,plain,
singletonP(sK253),
inference(resolution,[status(thm)],[c214,d4]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[d5,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC385+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/5.46 % Computer : n014.cluster.edu
% 0.19/5.46 % Model : x86_64 x86_64
% 0.19/5.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/5.46 % Memory : 8046.5625MB
% 0.19/5.46 % OS : Linux 6.8.0-71-generic
% 0.19/5.46 % CPULimit : 300
% 0.19/5.46 % WCLimit : 300
% 0.19/5.46 % DateTime : Sat Sep 26 12:55:38 UTC 2026
% 0.19/5.46 % CPUTime :
% 0.19/5.46 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.38/8.35 % SZS status Theorem for theBenchmark.p
% 22.38/8.35 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------