%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC016+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 : n026.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 08:53:57 AM UTC 2026
% Result : Theorem 17.34s 20.04s
% Output : CNFRefutation 17.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 1
% Syntax : Number of formulae : 47 ( 9 unt; 0 def)
% Number of atoms : 144 ( 42 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 171 ( 74 ~; 75 |; 12 &)
% ( 0 <=>; 10 =>; 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 : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 18 ( 0 sgn 10 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( ? [X5] :
( frontsegP(X0,X5)
& frontsegP(X1,X5)
& neq(X5,nil)
& ssList(X5) )
| ~ neq(X1,nil) )
& ( nil = X0
| nil != X1 ) )
| ( neq(X3,nil)
& ! [X4] :
( ssList(X4)
=> ( ~ frontsegP(X2,X4)
| ~ frontsegP(X3,X4)
| ~ neq(X4,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)
=> ( ( ( ? [X5] :
( frontsegP(X0,X5)
& frontsegP(X1,X5)
& neq(X5,nil)
& ssList(X5) )
| ~ neq(X1,nil) )
& ( nil = X0
| nil != X1 ) )
| ( neq(X3,nil)
& ! [X4] :
( ssList(X4)
=> ( ~ frontsegP(X2,X4)
| ~ frontsegP(X3,X4)
| ~ neq(X4,nil) ) ) )
| ( nil = X3
& nil != X2 )
| 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 != sK256
| nil = sK255 ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c215,plain,
( ~ neq(sK256,nil)
| ssList(sK257) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c216,plain,
( ~ neq(sK256,nil)
| neq(sK257,nil) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c217,plain,
( ~ neq(sK256,nil)
| frontsegP(sK256,sK257) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c218,plain,
( ~ neq(sK256,nil)
| frontsegP(sK255,sK257) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c219,plain,
( neq(sK254,nil)
| nil = sK254 ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c220,plain,
( ~ ssList(X0)
| ~ neq(X0,nil)
| ~ frontsegP(sK253,X0)
| nil = sK254
| ~ frontsegP(sK254,X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c221,plain,
( neq(sK254,nil)
| nil != sK253 ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c222,plain,
( ~ ssList(X0)
| ~ neq(X0,nil)
| nil != sK253
| ~ frontsegP(sK253,X0)
| ~ frontsegP(sK254,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,
( ssList(sK257)
| ~ neq(sK254,nil) ),
inference(demodulation,[status(thm)],[c215,c212]) ).
cnf(d3,plain,
( ssList(sK257)
| nil = sK254 ),
inference(resolution,[status(thm)],[c219,d2]) ).
cnf(d4,plain,
( neq(sK257,nil)
| ~ neq(sK254,nil) ),
inference(demodulation,[status(thm)],[c216,c212]) ).
cnf(d5,plain,
( neq(sK257,nil)
| nil = sK254 ),
inference(resolution,[status(thm)],[c219,d4]) ).
cnf(d6,plain,
( frontsegP(sK255,sK257)
| ~ neq(sK254,nil) ),
inference(demodulation,[status(thm)],[c218,c212]) ).
cnf(d7,plain,
( frontsegP(sK253,sK257)
| ~ neq(sK254,nil) ),
inference(demodulation,[status(thm)],[d6,c213]) ).
cnf(d8,plain,
( frontsegP(sK253,sK257)
| nil = sK254 ),
inference(resolution,[status(thm)],[c219,d7]) ).
cnf(d9,plain,
( frontsegP(sK256,sK257)
| ~ neq(sK254,nil) ),
inference(demodulation,[status(thm)],[c217,c212]) ).
cnf(d10,plain,
( frontsegP(sK254,sK257)
| ~ neq(sK254,nil) ),
inference(demodulation,[status(thm)],[d9,c212]) ).
cnf(d11,plain,
( frontsegP(sK254,sK257)
| nil = sK254 ),
inference(resolution,[status(thm)],[c219,d10]) ).
cnf(d12,plain,
( nil = sK254
| ~ frontsegP(sK253,sK257)
| ~ ssList(sK257)
| ~ neq(sK257,nil)
| nil = sK254 ),
inference(resolution,[status(thm)],[c220,d11]) ).
cnf(d13,plain,
( nil = sK254
| ~ ssList(sK257)
| ~ neq(sK257,nil)
| nil = sK254 ),
inference(resolution,[status(thm)],[d12,d8]) ).
cnf(d14,plain,
( nil = sK254
| ~ ssList(sK257)
| nil = sK254 ),
inference(resolution,[status(thm)],[d13,d5]) ).
cnf(d15,plain,
( nil = sK254
| nil = sK254 ),
inference(resolution,[status(thm)],[d14,d3]) ).
cnf(d16,plain,
nil = sK253,
inference(resolution,[status(thm)],[d15,d1]) ).
cnf(d17,plain,
( frontsegP(sK253,sK257)
| ~ neq(nil,nil) ),
inference(demodulation,[status(thm)],[d7,d15]) ).
cnf(d18,plain,
( frontsegP(nil,sK257)
| ~ neq(nil,nil) ),
inference(demodulation,[status(thm)],[d17,d16]) ).
cnf(d19,plain,
( neq(nil,nil)
| nil != sK253 ),
inference(demodulation,[status(thm)],[c221,d15]) ).
cnf(d20,plain,
( neq(nil,nil)
| nil != nil ),
inference(demodulation,[status(thm)],[d19,d16]) ).
cnf(d21,plain,
neq(nil,nil),
inference(equality_resolution,[status(thm)],[d20]) ).
cnf(d22,plain,
frontsegP(nil,sK257),
inference(resolution,[status(thm)],[d21,d18]) ).
cnf(d23,plain,
( ~ frontsegP(sK254,X0)
| ~ frontsegP(sK253,X0)
| ~ ssList(X0)
| ~ neq(X0,nil)
| nil != nil ),
inference(demodulation,[status(thm)],[c222,d16]) ).
cnf(d24,plain,
( ~ frontsegP(sK254,X0)
| ~ frontsegP(nil,X0)
| ~ ssList(X0)
| ~ neq(X0,nil)
| nil != nil ),
inference(demodulation,[status(thm)],[d23,d16]) ).
cnf(d25,plain,
( ~ frontsegP(nil,X0)
| ~ frontsegP(nil,X0)
| ~ ssList(X0)
| ~ neq(X0,nil)
| nil != nil ),
inference(demodulation,[status(thm)],[d24,d15]) ).
cnf(d26,plain,
( ~ frontsegP(nil,X0)
| ~ frontsegP(nil,X0)
| ~ ssList(X0)
| ~ neq(X0,nil) ),
inference(equality_resolution,[status(thm)],[d25]) ).
cnf(d27,plain,
( ~ ssList(sK257)
| ~ neq(sK257,nil) ),
inference(resolution,[status(thm)],[d26,d22]) ).
cnf(d28,plain,
( ssList(sK257)
| ~ neq(nil,nil) ),
inference(demodulation,[status(thm)],[d2,d15]) ).
cnf(d29,plain,
ssList(sK257),
inference(resolution,[status(thm)],[d21,d28]) ).
cnf(d30,plain,
~ neq(sK257,nil),
inference(resolution,[status(thm)],[d29,d27]) ).
cnf(d31,plain,
( neq(sK257,nil)
| ~ neq(nil,nil) ),
inference(demodulation,[status(thm)],[d4,d15]) ).
cnf(d32,plain,
neq(sK257,nil),
inference(resolution,[status(thm)],[d21,d31]) ).
cnf(d33,plain,
$false,
inference(resolution,[status(thm)],[d32,d30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC016+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
% 0.18/16.08 % Computer : n026.cluster.edu
% 0.18/16.08 % Model : x86_64 x86_64
% 0.18/16.08 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/16.08 % Memory : 8046.5625MB
% 0.18/16.08 % OS : Linux 6.8.0-71-generic
% 0.18/16.08 % CPULimit : 300
% 0.18/16.08 % WCLimit : 300
% 0.18/16.08 % DateTime : Sat Sep 26 12:07:12 UTC 2026
% 0.18/16.08 % CPUTime :
% 0.18/16.08 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.34/20.04 % SZS status Theorem for theBenchmark.p
% 17.34/20.04 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------