%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN919+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 09:34:19 AM UTC 2026
% Result : Theorem 8.11s 1.52s
% Output : CNFRefutation 8.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 5 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 22 ( 6 ~; 4 |; 4 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 20 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
( ( ! [X0,X1,X2] :
( ( r(X1,X2)
& r(X0,X1) )
=> r(X0,X2) )
& ! [X0,X1] :
( r(X0,X1)
=> r(X1,X0) ) )
=> ! [X0,X1] :
( r(X0,X1)
=> r(X0,X0) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( ! [X0,X1,X2] :
( ( r(X1,X2)
& r(X0,X1) )
=> r(X0,X2) )
& ! [X0,X1] :
( r(X0,X1)
=> r(X1,X0) ) )
=> ! [X0,X1] :
( r(X0,X1)
=> r(X0,X0) ) ),
inference(negate_conjecture,[status(cth)],[prove_this]) ).
cnf(c0,plain,
( r(X1,X0)
| ~ r(X0,X1) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c1,plain,
( r(X0,X2)
| ~ r(X1,X2)
| ~ r(X0,X1) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c2,plain,
r(sK5,sK6),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c3,plain,
~ r(sK5,sK5),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
r(sK6,sK5),
inference(resolution,[status(thm)],[c0,c2]) ).
cnf(d1,plain,
( ~ r(X0,sK6)
| r(X0,sK5) ),
inference(resolution,[status(thm)],[d0,c1]) ).
cnf(d2,plain,
r(sK5,sK5),
inference(resolution,[status(thm)],[d1,c2]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c3,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN919+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n016.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 18:55:01 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.11/1.52 % SZS status Theorem for theBenchmark.p
% 8.11/1.52 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------