%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC046+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 : n020.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 08:54:04 AM UTC 2026
% Result : Theorem 20.50s 4.90s
% Output : CNFRefutation 20.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 31 ( 11 unt; 0 def)
% Number of atoms : 103 ( 29 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 117 ( 45 ~; 44 |; 12 &)
% ( 1 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn 15 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax20,axiom,
! [X0] :
( ssList(X0)
=> ( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0 ) ) ).
fof(ax37,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(cons(X1,X2),X0)
<=> ( memberP(X2,X0)
| X0 = X1 ) ) ) ) ) ).
fof(ax38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ) ).
fof(co1,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ? [X4] :
( ( ( ( ? [X5] :
( segmentP(X3,app(app(cons(X4,nil),X5),cons(X4,nil)))
& ssList(X5) )
| ~ memberP(X3,X4) )
& memberP(X2,X4) )
| ( memberP(X3,X4)
& ! [X5] :
( ssList(X5)
=> ~ segmentP(X3,app(app(cons(X4,nil),X5),cons(X4,nil))) )
& ~ memberP(X2,X4) ) )
& ssItem(X4) )
| nil = X0
| X0 != X2
| X1 != X3
| nil != X1 ) ) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ? [X4] :
( ( ( ( ? [X5] :
( segmentP(X3,app(app(cons(X4,nil),X5),cons(X4,nil)))
& ssList(X5) )
| ~ memberP(X3,X4) )
& memberP(X2,X4) )
| ( memberP(X3,X4)
& ! [X5] :
( ssList(X5)
=> ~ segmentP(X3,app(app(cons(X4,nil),X5),cons(X4,nil))) )
& ~ memberP(X2,X4) ) )
& ssItem(X4) )
| nil = X0
| X0 != X2
| X1 != X3
| nil != X1 ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[co1]) ).
cnf(c101,plain,
( ssList(sK120(X0))
| nil = X0
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[ax20]) ).
cnf(c102,plain,
( ssItem(sK121(X0))
| nil = X0
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[ax20]) ).
cnf(c103,plain,
( cons(sK121(X0),sK120(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[ax20]) ).
cnf(c125,plain,
( ~ ssItem(X0)
| memberP(cons(X1,X2),X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| X0 != X1 ),
inference(clausification,[status(esa)],[ax37]) ).
cnf(c127,plain,
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(clausification,[status(esa)],[ax38]) ).
cnf(c210,plain,
ssList(sK255),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c212,plain,
nil = sK254,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c213,plain,
sK254 = sK256,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c214,plain,
sK253 = sK255,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c215,plain,
nil != sK253,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c218,plain,
( memberP(sK256,X0)
| ~ memberP(sK255,X0)
| ~ ssItem(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
nil = sK256,
inference(demodulation,[status(thm)],[c213,c212]) ).
cnf(d1,plain,
( memberP(nil,X0)
| ~ memberP(sK255,X0)
| ~ ssItem(X0) ),
inference(demodulation,[status(thm)],[c218,d0]) ).
cnf(d2,plain,
( ~ ssList(X1)
| memberP(cons(X0,X1),X0)
| ~ ssItem(X0)
| ~ ssItem(X0) ),
inference(equality_resolution,[status(thm)],[c125]) ).
cnf(d3,plain,
( nil = sK255
| cons(sK121(sK255),sK120(sK255)) = sK255 ),
inference(resolution,[status(thm)],[c103,c210]) ).
cnf(d4,plain,
nil != sK255,
inference(demodulation,[status(thm)],[c215,c214]) ).
cnf(d5,plain,
cons(sK121(sK255),sK120(sK255)) = sK255,
inference(resolution,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
( ~ ssList(sK120(sK255))
| ~ ssItem(sK121(sK255))
| memberP(sK255,sK121(sK255)) ),
inference(superposition,[status(thm)],[d5,d2]) ).
cnf(d7,plain,
( memberP(nil,sK121(sK255))
| ~ ssItem(sK121(sK255))
| ~ ssList(sK120(sK255))
| ~ ssItem(sK121(sK255)) ),
inference(resolution,[status(thm)],[d6,d1]) ).
cnf(d8,plain,
( ~ ssItem(sK121(sK255))
| ~ ssList(sK120(sK255))
| ~ ssItem(sK121(sK255)) ),
inference(resolution,[status(thm)],[d7,c127]) ).
cnf(d9,plain,
( ~ ssList(sK255)
| nil = sK255
| ~ ssItem(sK121(sK255)) ),
inference(resolution,[status(thm)],[d8,c101]) ).
cnf(d10,plain,
( ~ ssItem(sK121(sK255))
| nil = sK255 ),
inference(resolution,[status(thm)],[c210,d9]) ).
cnf(d11,plain,
~ ssItem(sK121(sK255)),
inference(resolution,[status(thm)],[d4,d10]) ).
cnf(d12,plain,
( ~ ssList(sK255)
| nil = sK255 ),
inference(resolution,[status(thm)],[d11,c102]) ).
cnf(d13,plain,
nil = sK255,
inference(resolution,[status(thm)],[c210,d12]) ).
cnf(d14,plain,
$false,
inference(resolution,[status(thm)],[d4,d13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC046+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
% 0.10/0.36 % Computer : n020.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 12:08:33 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.50/4.90 % SZS status Theorem for theBenchmark.p
% 20.50/4.90 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------