%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL666+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 07:55:06 AM UTC 2026
% Result : Theorem 10.32s 2.43s
% Output : CNFRefutation 10.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 6 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 30 ( 19 ~; 7 |; 4 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 7 ( 0 sgn 3 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(reflexivity,axiom,
! [X0] : r1(X0,X0) ).
fof(main,conjecture,
~ ? [X0] :
~ ( ~ ( p101(X0)
& p201(X0) )
| ~ ! [X1] :
( ~ ( p101(X1)
& p201(X1) )
| ~ r1(X0,X1) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( p101(X0)
& p201(X0) )
| ~ ! [X1] :
( ~ ( p101(X1)
& p201(X1) )
| ~ r1(X0,X1) ) ),
inference(negate_conjecture,[status(cth)],[main]) ).
cnf(c0,plain,
r1(X0,X0),
inference(clausification,[status(esa)],[reflexivity]) ).
cnf(c1,plain,
( ~ p101(X0)
| ~ p201(X0)
| ~ r1(sK1,X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c2,plain,
p201(sK1),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c3,plain,
p101(sK1),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ p101(sK1)
| ~ p201(sK1) ),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(d1,plain,
~ p101(sK1),
inference(resolution,[status(thm)],[c2,d0]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c3,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL666+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37 % Computer : n018.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.38 % DateTime : Fri Sep 25 23:10:50 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.32/2.43 % SZS status Theorem for theBenchmark.p
% 10.32/2.43 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------