%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC059+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 : n007.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 08:54:07 AM UTC 2026
% Result : Theorem 10.61s 4.87s
% Output : CNFRefutation 10.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 3
% Syntax : Number of formulae : 54 ( 11 unt; 0 def)
% Number of atoms : 165 ( 48 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 204 ( 93 ~; 90 |; 12 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 18 ( 0 sgn 9 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax17,axiom,
ssList(nil) ).
fof(ax55,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,X0) ) ).
fof(co1,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( ? [X4] :
( segmentP(X0,X4)
& segmentP(X1,X4)
& neq(X4,nil)
& ssList(X4) )
| ~ neq(X1,nil) )
& ( nil = X0
| nil != X1 ) )
| ( ( ~ segmentP(X3,X2)
| ~ neq(X2,nil) )
& neq(X3,nil) )
| ( nil = X3
& nil != X2 )
| X0 != X2
| X1 != X3 ) ) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( ? [X4] :
( segmentP(X0,X4)
& segmentP(X1,X4)
& neq(X4,nil)
& ssList(X4) )
| ~ neq(X1,nil) )
& ( nil = X0
| nil != X1 ) )
| ( ( ~ segmentP(X3,X2)
| ~ neq(X2,nil) )
& neq(X3,nil) )
| ( nil = X3
& nil != X2 )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[co1]) ).
cnf(c97,plain,
ssList(nil),
inference(clausification,[status(esa)],[ax17]) ).
cnf(c148,plain,
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[ax55]) ).
cnf(c208,plain,
ssList(sK253),
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,
( nil != sK256
| nil = sK255 ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c215,plain,
( neq(sK255,nil)
| ~ neq(sK256,nil) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c216,plain,
( segmentP(sK256,sK255)
| ~ neq(sK256,nil) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c217,plain,
( neq(sK254,nil)
| nil = sK254 ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c218,plain,
( ~ segmentP(sK254,X0)
| ~ neq(X0,nil)
| ~ segmentP(sK253,X0)
| nil = sK254
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c219,plain,
( neq(sK254,nil)
| nil != sK253 ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c220,plain,
( ~ segmentP(sK254,X0)
| nil != sK253
| ~ neq(X0,nil)
| ~ segmentP(sK253,X0)
| ~ ssList(X0) ),
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,
( ~ neq(sK256,nil)
| neq(sK253,nil) ),
inference(demodulation,[status(thm)],[c215,c213]) ).
cnf(d3,plain,
( ~ neq(sK254,nil)
| neq(sK253,nil) ),
inference(demodulation,[status(thm)],[d2,c212]) ).
cnf(d4,plain,
( neq(sK253,nil)
| nil = sK254 ),
inference(resolution,[status(thm)],[c217,d3]) ).
cnf(d5,plain,
( segmentP(sK256,sK255)
| ~ neq(sK254,nil) ),
inference(demodulation,[status(thm)],[c216,c212]) ).
cnf(d6,plain,
( segmentP(sK254,sK255)
| ~ neq(sK254,nil) ),
inference(demodulation,[status(thm)],[d5,c212]) ).
cnf(d7,plain,
( segmentP(sK254,sK253)
| ~ neq(sK254,nil) ),
inference(demodulation,[status(thm)],[d6,c213]) ).
cnf(d8,plain,
( segmentP(sK254,sK253)
| nil = sK254 ),
inference(resolution,[status(thm)],[c217,d7]) ).
cnf(d9,plain,
( nil = sK254
| ~ segmentP(sK253,sK253)
| ~ ssList(sK253)
| ~ neq(sK253,nil)
| nil = sK254 ),
inference(resolution,[status(thm)],[c218,d8]) ).
cnf(d10,plain,
( ~ segmentP(sK253,sK253)
| ~ neq(sK253,nil)
| nil = sK254 ),
inference(resolution,[status(thm)],[c208,d9]) ).
cnf(d11,plain,
( ~ neq(sK253,nil)
| nil = sK254
| ~ ssList(sK253) ),
inference(resolution,[status(thm)],[c148,d10]) ).
cnf(d12,plain,
( ~ neq(sK253,nil)
| nil = sK254 ),
inference(resolution,[status(thm)],[c208,d11]) ).
cnf(d13,plain,
( nil = sK254
| nil = sK254 ),
inference(resolution,[status(thm)],[d12,d4]) ).
cnf(d14,plain,
nil = sK253,
inference(resolution,[status(thm)],[d13,d1]) ).
cnf(d15,plain,
( segmentP(sK254,sK253)
| ~ neq(nil,nil) ),
inference(demodulation,[status(thm)],[d7,d13]) ).
cnf(d16,plain,
( segmentP(nil,sK253)
| ~ neq(nil,nil) ),
inference(demodulation,[status(thm)],[d15,d13]) ).
cnf(d17,plain,
( segmentP(nil,nil)
| ~ neq(nil,nil) ),
inference(demodulation,[status(thm)],[d16,d14]) ).
cnf(d18,plain,
( neq(nil,nil)
| nil != sK253 ),
inference(demodulation,[status(thm)],[c219,d13]) ).
cnf(d19,plain,
( neq(nil,nil)
| nil != nil ),
inference(demodulation,[status(thm)],[d18,d14]) ).
cnf(d20,plain,
neq(nil,nil),
inference(equality_resolution,[status(thm)],[d19]) ).
cnf(d21,plain,
segmentP(nil,nil),
inference(resolution,[status(thm)],[d20,d17]) ).
cnf(d22,plain,
( ~ segmentP(nil,X0)
| ~ segmentP(sK253,X0)
| ~ ssList(X0)
| ~ neq(X0,nil)
| nil != sK253 ),
inference(demodulation,[status(thm)],[c220,d13]) ).
cnf(d23,plain,
( ~ segmentP(sK253,X0)
| ~ segmentP(nil,X0)
| ~ ssList(X0)
| ~ neq(X0,nil)
| nil != nil ),
inference(demodulation,[status(thm)],[d22,d14]) ).
cnf(d24,plain,
( ~ segmentP(nil,X0)
| ~ segmentP(nil,X0)
| ~ ssList(X0)
| ~ neq(X0,nil)
| nil != nil ),
inference(demodulation,[status(thm)],[d23,d14]) ).
cnf(d25,plain,
( ~ segmentP(sK253,sK254)
| ~ ssList(sK254)
| ~ neq(sK254,nil)
| nil = sK254
| ~ ssList(sK254) ),
inference(resolution,[status(thm)],[c148,c218]) ).
cnf(d26,plain,
( ~ segmentP(sK253,sK254)
| ~ ssList(sK254)
| ~ neq(sK254,nil)
| nil = nil ),
inference(demodulation,[status(thm)],[d25,d13]) ).
cnf(d27,plain,
( ~ segmentP(sK253,sK254)
| ~ ssList(sK254)
| ~ neq(nil,nil)
| nil = nil ),
inference(demodulation,[status(thm)],[d26,d13]) ).
cnf(d28,plain,
( ~ segmentP(sK253,sK254)
| ~ ssList(nil)
| ~ neq(nil,nil)
| nil = nil ),
inference(demodulation,[status(thm)],[d27,d13]) ).
cnf(d29,plain,
( ~ segmentP(nil,sK254)
| ~ ssList(nil)
| ~ neq(nil,nil)
| nil = nil ),
inference(demodulation,[status(thm)],[d28,d14]) ).
cnf(d30,plain,
( ~ segmentP(nil,nil)
| ~ ssList(nil)
| ~ neq(nil,nil)
| nil = nil ),
inference(demodulation,[status(thm)],[d29,d13]) ).
cnf(d31,plain,
( ~ segmentP(nil,nil)
| ~ neq(nil,nil)
| nil = nil ),
inference(resolution,[status(thm)],[c97,d30]) ).
cnf(d32,plain,
( ~ segmentP(nil,nil)
| nil = nil ),
inference(resolution,[status(thm)],[d20,d31]) ).
cnf(d33,plain,
nil = nil,
inference(resolution,[status(thm)],[d21,d32]) ).
cnf(d34,plain,
( ~ segmentP(nil,X0)
| ~ segmentP(nil,X0)
| ~ ssList(X0)
| ~ neq(X0,nil) ),
inference(resolution,[status(thm)],[d33,d24]) ).
cnf(d35,plain,
( ~ ssList(nil)
| ~ neq(nil,nil) ),
inference(resolution,[status(thm)],[d34,d21]) ).
cnf(d36,plain,
~ neq(nil,nil),
inference(resolution,[status(thm)],[c97,d35]) ).
cnf(d37,plain,
$false,
inference(resolution,[status(thm)],[d20,d36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC059+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
% 0.10/0.37 % Computer : n007.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 12:07:24 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.61/4.87 % SZS status Theorem for theBenchmark.p
% 10.61/4.87 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------