%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC206+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 : n013.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 08:54:36 AM UTC 2026
% Result : Theorem 16.59s 3.75s
% Output : CNFRefutation 16.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 30 ( 18 unt; 0 def)
% Number of atoms : 75 ( 19 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 75 ( 30 ~; 26 |; 4 &)
% ( 2 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 3 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 : 16 ( 0 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ) ).
fof(ax17,axiom,
ssList(nil) ).
fof(ax58,axiom,
! [X0] :
( ssList(X0)
=> ( segmentP(nil,X0)
<=> nil = X0 ) ) ).
fof(co1,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( neq(X3,nil)
& ! [X4] :
( ssList(X4)
=> ( ~ segmentP(X2,X4)
| ~ segmentP(X3,X4)
| ~ neq(X4,nil) ) ) )
| ( nil = X3
& nil != X2 )
| neq(X0,nil)
| ~ 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)
& ! [X4] :
( ssList(X4)
=> ( ~ segmentP(X2,X4)
| ~ segmentP(X3,X4)
| ~ neq(X4,nil) ) ) )
| ( nil = X3
& nil != X2 )
| neq(X0,nil)
| ~ neq(X1,nil)
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[co1]) ).
cnf(c95,plain,
( X0 = X1
| neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[ax15]) ).
cnf(c97,plain,
ssList(nil),
inference(clausification,[status(esa)],[ax17]) ).
cnf(c151,plain,
( nil = X0
| ~ segmentP(nil,X0)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[ax58]) ).
cnf(c210,plain,
ssList(sK255),
inference(clausification,[status(esa)],[negated_conjecture]) ).
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,
~ neq(sK253,nil),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c217,plain,
( ~ neq(sK256,nil)
| ssList(sK257) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c218,plain,
( ~ neq(sK256,nil)
| neq(sK257,nil) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c220,plain,
( ~ neq(sK256,nil)
| segmentP(sK255,sK257) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
~ neq(sK255,nil),
inference(demodulation,[status(thm)],[c215,c213]) ).
cnf(d1,plain,
( ~ ssList(sK255)
| ~ ssList(nil)
| sK255 = nil ),
inference(resolution,[status(thm)],[c95,d0]) ).
cnf(d2,plain,
( ~ ssList(nil)
| sK255 = nil ),
inference(resolution,[status(thm)],[c210,d1]) ).
cnf(d3,plain,
sK255 = nil,
inference(resolution,[status(thm)],[c97,d2]) ).
cnf(d4,plain,
neq(sK256,nil),
inference(demodulation,[status(thm)],[c214,c212]) ).
cnf(d5,plain,
segmentP(sK255,sK257),
inference(resolution,[status(thm)],[d4,c220]) ).
cnf(d6,plain,
segmentP(nil,sK257),
inference(demodulation,[status(thm)],[d5,d3]) ).
cnf(d7,plain,
( ~ ssList(sK257)
| nil = sK257 ),
inference(resolution,[status(thm)],[c151,d6]) ).
cnf(d8,plain,
ssList(sK257),
inference(resolution,[status(thm)],[d4,c217]) ).
cnf(d9,plain,
nil = sK257,
inference(resolution,[status(thm)],[d8,d7]) ).
cnf(d10,plain,
neq(sK257,nil),
inference(resolution,[status(thm)],[d4,c218]) ).
cnf(d11,plain,
neq(nil,nil),
inference(demodulation,[status(thm)],[d10,d9]) ).
cnf(d12,plain,
~ neq(nil,nil),
inference(demodulation,[status(thm)],[d0,d3]) ).
cnf(d13,plain,
$false,
inference(resolution,[status(thm)],[d12,d11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC206+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n013.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 12:30:36 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.59/3.75 % SZS status Theorem for theBenchmark.p
% 16.59/3.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------