%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC408+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 : n011.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 08:55:17 AM UTC 2026
% Result : Theorem 21.92s 5.27s
% Output : CNFRefutation 21.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 18 ( 11 unt; 0 def)
% Number of atoms : 52 ( 10 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 55 ( 21 ~; 20 |; 0 &)
% ( 1 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax36,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(app(X1,X2),X0)
<=> ( memberP(X2,X0)
| memberP(X1,X0) ) ) ) ) ) ).
fof(co1,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ! [X4] :
( ssItem(X4)
=> ( memberP(X0,X4)
| ~ memberP(X1,X4) ) )
| X0 != X2
| X1 != X3
| app(X3,X3) != X2 ) ) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ! [X4] :
( ssItem(X4)
=> ( memberP(X0,X4)
| ~ memberP(X1,X4) ) )
| X0 != X2
| X1 != X3
| app(X3,X3) != X2 ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[co1]) ).
cnf(c122,plain,
( ~ memberP(X2,X0)
| memberP(app(X2,X1),X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(clausification,[status(esa)],[ax36]) ).
cnf(c211,plain,
ssList(sK256),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c212,plain,
app(sK256,sK256) = sK255,
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,
ssItem(sK257),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c216,plain,
memberP(sK254,sK257),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c217,plain,
~ memberP(sK253,sK257),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
memberP(sK256,sK257),
inference(demodulation,[status(thm)],[c216,c213]) ).
cnf(d1,plain,
app(sK256,sK256) = sK253,
inference(demodulation,[status(thm)],[c212,c214]) ).
cnf(d2,plain,
( ~ ssList(sK256)
| ~ ssList(sK256)
| ~ memberP(sK256,X0)
| ~ ssItem(X0)
| memberP(sK253,X0) ),
inference(superposition,[status(thm)],[d1,c122]) ).
cnf(d3,plain,
( ~ memberP(sK256,X0)
| memberP(sK253,X0)
| ~ ssItem(X0) ),
inference(resolution,[status(thm)],[c211,d2]) ).
cnf(d4,plain,
( memberP(sK253,sK257)
| ~ ssItem(sK257) ),
inference(resolution,[status(thm)],[d3,d0]) ).
cnf(d5,plain,
memberP(sK253,sK257),
inference(resolution,[status(thm)],[c215,d4]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[c217,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC408+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.43 % Computer : n011.cluster.edu
% 0.15/0.43 % Model : x86_64 x86_64
% 0.15/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.43 % Memory : 8046.5625MB
% 0.15/0.43 % OS : Linux 6.8.0-71-generic
% 0.15/0.43 % CPULimit : 300
% 0.15/0.43 % WCLimit : 300
% 0.15/0.44 % DateTime : Sat Sep 26 12:59:30 UTC 2026
% 0.15/0.44 % CPUTime :
% 0.15/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 21.92/5.27 % SZS status Theorem for theBenchmark.p
% 21.92/5.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------