%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL646+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 : n005.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 07:54:59 AM UTC 2026
% Result : Theorem 8.96s 7.55s
% Output : CNFRefutation 8.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 4 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 16 ( 5 avg)
% Number of connectives : 62 ( 31 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 19 ( 0 sgn 16 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,conjecture,
~ ? [X0] :
~ ( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p5(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( p4(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( p6(X1)
| ~ r1(X0,X1) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ~ ? [X0] :
~ ( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p5(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( p4(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( p6(X1)
| ~ r1(X0,X1) ) ),
inference(negate_conjecture,[status(cth)],[main]) ).
cnf(c1,plain,
( p2(X0)
| ~ r1(sK0,X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c8,plain,
r1(sK0,sK7),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c9,plain,
~ p2(sK7),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
p2(sK7),
inference(resolution,[status(thm)],[c8,c1]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[c9,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL646+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
% 0.11/5.39 % Computer : n005.cluster.edu
% 0.11/5.39 % Model : x86_64 x86_64
% 0.11/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.39 % Memory : 8046.5625MB
% 0.11/5.39 % OS : Linux 6.8.0-71-generic
% 0.11/5.39 % CPULimit : 300
% 0.11/5.39 % WCLimit : 300
% 0.11/5.39 % DateTime : Fri Sep 25 22:55:22 UTC 2026
% 0.11/5.39 % CPUTime :
% 0.11/5.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.96/7.55 % SZS status Theorem for theBenchmark.p
% 8.96/7.55 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------