%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL678+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 07:55:11 AM UTC 2026
% Result : Theorem 8.87s 1.56s
% Output : CNFRefutation 8.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 5 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 47 ( 27 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 17 ( 0 sgn 9 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(reflexivity,axiom,
! [X0] : r1(X0,X0) ).
fof(main,conjecture,
~ ? [X0] :
~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| $false
| ~ r1(X0,X1) )
| $false ) ).
fof(negated_conjecture,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| $false
| ~ r1(X0,X1) )
| $false ),
inference(negate_conjecture,[status(cth)],[main]) ).
cnf(c0,plain,
r1(X0,X0),
inference(clausification,[status(esa)],[reflexivity]) ).
cnf(c3,plain,
( r1(sK6(X0),sK7(X0))
| ~ r1(sK4,X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c4,plain,
( ~ p1(sK7(X0))
| ~ r1(sK4,X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c5,plain,
( p1(X1)
| ~ r1(sK6(X0),X1)
| ~ r1(sK4,X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ r1(sK4,X0)
| p1(sK7(X0))
| ~ r1(sK4,X0) ),
inference(resolution,[status(thm)],[c5,c3]) ).
cnf(d1,plain,
p1(sK7(sK4)),
inference(resolution,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
~ r1(sK4,sK4),
inference(resolution,[status(thm)],[d1,c4]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c0,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL678+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 23:16:43 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.87/1.56 % SZS status Theorem for theBenchmark.p
% 8.87/1.56 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------