%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC001+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 : n010.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 08:53:53 AM UTC 2026
% Result : Theorem 25.60s 3.79s
% Output : CNFRefutation 25.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 24 ( 9 unt; 0 def)
% Number of atoms : 80 ( 6 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 93 ( 37 ~; 34 |; 12 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 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 : 18 ( 0 sgn 10 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( duplicatefreeP(X0)
& ! [X5] :
( ssItem(X5)
=> ( ( memberP(X0,X5)
& memberP(X1,X5) )
| ( ~ memberP(X0,X5)
& ~ memberP(X1,X5) ) ) ) )
| ? [X4] :
( ( ( memberP(X3,X4)
& ~ memberP(X2,X4) )
| ( memberP(X2,X4)
& ~ memberP(X3,X4) ) )
& ssItem(X4) )
| ~ duplicatefreeP(X2)
| X0 != X2
| X1 != X3 ) ) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( duplicatefreeP(X0)
& ! [X5] :
( ssItem(X5)
=> ( ( memberP(X0,X5)
& memberP(X1,X5) )
| ( ~ memberP(X0,X5)
& ~ memberP(X1,X5) ) ) ) )
| ? [X4] :
( ( ( memberP(X3,X4)
& ~ memberP(X2,X4) )
| ( memberP(X2,X4)
& ~ memberP(X3,X4) ) )
& ssItem(X4) )
| ~ duplicatefreeP(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,
duplicatefreeP(sK255),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c215,plain,
( ~ memberP(sK255,X0)
| memberP(sK256,X0)
| ~ ssItem(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c216,plain,
( ~ memberP(sK256,X0)
| memberP(sK255,X0)
| ~ ssItem(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c217,plain,
( ~ duplicatefreeP(sK253)
| ssItem(sK258) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c218,plain,
( ~ duplicatefreeP(sK253)
| memberP(sK253,sK258)
| memberP(sK254,sK258) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c219,plain,
( ~ duplicatefreeP(sK253)
| ~ memberP(sK253,sK258)
| ~ memberP(sK254,sK258) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
duplicatefreeP(sK253),
inference(demodulation,[status(thm)],[c214,c213]) ).
cnf(d1,plain,
( ~ memberP(sK254,sK258)
| ~ memberP(sK253,sK258) ),
inference(resolution,[status(thm)],[d0,c219]) ).
cnf(d2,plain,
( ~ memberP(sK256,X0)
| memberP(sK253,X0)
| ~ ssItem(X0) ),
inference(demodulation,[status(thm)],[c216,c213]) ).
cnf(d3,plain,
( ~ memberP(sK254,X0)
| memberP(sK253,X0)
| ~ ssItem(X0) ),
inference(demodulation,[status(thm)],[d2,c212]) ).
cnf(d4,plain,
( memberP(sK254,sK258)
| memberP(sK253,sK258) ),
inference(resolution,[status(thm)],[d0,c218]) ).
cnf(d5,plain,
( memberP(sK253,sK258)
| ~ ssItem(sK258)
| memberP(sK253,sK258) ),
inference(resolution,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
ssItem(sK258),
inference(resolution,[status(thm)],[d0,c217]) ).
cnf(d7,plain,
memberP(sK253,sK258),
inference(resolution,[status(thm)],[d6,d5]) ).
cnf(d8,plain,
~ memberP(sK254,sK258),
inference(resolution,[status(thm)],[d7,d1]) ).
cnf(d9,plain,
( memberP(sK256,X0)
| ~ memberP(sK253,X0)
| ~ ssItem(X0) ),
inference(demodulation,[status(thm)],[c215,c213]) ).
cnf(d10,plain,
( memberP(sK254,X0)
| ~ memberP(sK253,X0)
| ~ ssItem(X0) ),
inference(demodulation,[status(thm)],[d9,c212]) ).
cnf(d11,plain,
( memberP(sK254,sK258)
| ~ ssItem(sK258) ),
inference(resolution,[status(thm)],[d7,d10]) ).
cnf(d12,plain,
memberP(sK254,sK258),
inference(resolution,[status(thm)],[d6,d11]) ).
cnf(d13,plain,
$false,
inference(resolution,[status(thm)],[d12,d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC001+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
% 0.18/0.44 % Computer : n010.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sat Sep 26 12:02:30 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 25.60/3.79 % SZS status Theorem for theBenchmark.p
% 25.60/3.79 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------