%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL644+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n029.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 : Mon Sep 7 12:14:07 PM UTC 2026
% Result : Theorem 0.09s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 5 unt; 0 def)
% Number of atoms : 455 ( 0 equ)
% Maximal formula atoms : 225 ( 65 avg)
% Number of connectives : 717 ( 269 ~; 304 |; 144 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 9 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 160 ( 0 sgn 158 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,plain,
~ ? [X] :
~ ( ~ ( ! [Y] :
( ~ r1(X,Y)
| ~ ( p6(Y)
& ! [X] :
( ~ r1(Y,X)
| p6(X) ) )
| p5(Y) )
| ! [Y] :
( ~ r1(X,Y)
| p6(Y)
| ~ ( p5(Y)
& ! [X] :
( ~ r1(Y,X)
| p5(X) )
& p5(Y) ) )
| ~ ( ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( p6(X)
& ! [Y] :
( ~ r1(X,Y)
| p6(Y) ) )
| p5(X) )
| p6(Y)
| ~ ( p5(Y)
& ! [X] :
( ~ r1(Y,X)
| p5(X) )
& p5(Y) ) )
& ! [Y] :
( ~ r1(X,Y)
| ~ ( p6(Y)
& ! [X] :
( ~ r1(Y,X)
| p6(X) ) )
| p5(Y)
| ! [X] :
( ~ r1(Y,X)
| p6(X)
| ~ ( p5(X)
& ! [Y] :
( ~ r1(X,Y)
| p5(Y) )
& p5(X) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ~ ( p6(Y)
& ! [X] :
( ~ r1(Y,X)
| p6(X) ) )
| p5(Y)
| p6(Y)
| ~ ( p5(Y)
& ! [X] :
( ~ r1(Y,X)
| p5(X) )
& p5(Y) ) ) ) )
| ~ ( ! [Y] :
( ~ r1(X,Y)
| ~ ( p5(Y)
& ! [X] :
( ~ r1(Y,X)
| p5(X) ) )
| p4(Y) )
| ! [Y] :
( ~ r1(X,Y)
| p5(Y)
| ~ ( p4(Y)
& ! [X] :
( ~ r1(Y,X)
| p4(X) )
& p4(Y) ) )
| ~ ( ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( p5(X)
& ! [Y] :
( ~ r1(X,Y)
| p5(Y) ) )
| p4(X) )
| p5(Y)
| ~ ( p4(Y)
& ! [X] :
( ~ r1(Y,X)
| p4(X) )
& p4(Y) ) )
& ! [Y] :
( ~ r1(X,Y)
| ~ ( p5(Y)
& ! [X] :
( ~ r1(Y,X)
| p5(X) ) )
| p4(Y)
| ! [X] :
( ~ r1(Y,X)
| p5(X)
| ~ ( p4(X)
& ! [Y] :
( ~ r1(X,Y)
| p4(Y) )
& p4(X) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ~ ( p5(Y)
& ! [X] :
( ~ r1(Y,X)
| p5(X) ) )
| p4(Y)
| p5(Y)
| ~ ( p4(Y)
& ! [X] :
( ~ r1(Y,X)
| p4(X) )
& p4(Y) ) ) ) )
| ~ ( ! [Y] :
( ~ r1(X,Y)
| ~ ( p4(Y)
& ! [X] :
( ~ r1(Y,X)
| p4(X) ) )
| p3(Y) )
| ! [Y] :
( ~ r1(X,Y)
| p4(Y)
| ~ ( p3(Y)
& ! [X] :
( ~ r1(Y,X)
| p3(X) )
& p3(Y) ) )
| ~ ( ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( p4(X)
& ! [Y] :
( ~ r1(X,Y)
| p4(Y) ) )
| p3(X) )
| p4(Y)
| ~ ( p3(Y)
& ! [X] :
( ~ r1(Y,X)
| p3(X) )
& p3(Y) ) )
& ! [Y] :
( ~ r1(X,Y)
| ~ ( p4(Y)
& ! [X] :
( ~ r1(Y,X)
| p4(X) ) )
| p3(Y)
| ! [X] :
( ~ r1(Y,X)
| p4(X)
| ~ ( p3(X)
& ! [Y] :
( ~ r1(X,Y)
| p3(Y) )
& p3(X) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ~ ( p4(Y)
& ! [X] :
( ~ r1(Y,X)
| p4(X) ) )
| p3(Y)
| p4(Y)
| ~ ( p3(Y)
& ! [X] :
( ~ r1(Y,X)
| p3(X) )
& p3(Y) ) ) ) )
| ~ ( ! [Y] :
( ~ r1(X,Y)
| ~ ( p3(Y)
& ! [X] :
( ~ r1(Y,X)
| p3(X) ) )
| p2(Y) )
| ! [Y] :
( ~ r1(X,Y)
| p3(Y)
| ~ ( p2(Y)
& ! [X] :
( ~ r1(Y,X)
| p2(X) )
& p2(Y) ) )
| ~ ( ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( p3(X)
& ! [Y] :
( ~ r1(X,Y)
| p3(Y) ) )
| p2(X) )
| p3(Y)
| ~ ( p2(Y)
& ! [X] :
( ~ r1(Y,X)
| p2(X) )
& p2(Y) ) )
& ! [Y] :
( ~ r1(X,Y)
| ~ ( p3(Y)
& ! [X] :
( ~ r1(Y,X)
| p3(X) ) )
| p2(Y)
| ! [X] :
( ~ r1(Y,X)
| p3(X)
| ~ ( p2(X)
& ! [Y] :
( ~ r1(X,Y)
| p2(Y) )
& p2(X) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ~ ( p3(Y)
& ! [X] :
( ~ r1(Y,X)
| p3(X) ) )
| p2(Y)
| p3(Y)
| ~ ( p2(Y)
& ! [X] :
( ~ r1(Y,X)
| p2(X) )
& p2(Y) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p5(Y)
| ~ ( ! [X] :
( ~ r1(Y,X)
| p5(X) )
& p5(Y) ) )
| ! [Y] :
( ~ r1(X,Y)
| p5(Y)
| ~ ( ! [X] :
( ~ r1(Y,X)
| p5(X) )
& p5(Y) ) )
| ~ ( ! [Y] :
( ~ r1(X,Y)
| ~ ( p2(Y)
& ! [X] :
( ~ r1(Y,X)
| p2(X) ) )
| p1(Y) )
| ! [Y] :
( ~ r1(X,Y)
| p2(Y)
| ~ ( p1(Y)
& ! [X] :
( ~ r1(Y,X)
| p1(X) )
& p1(Y) ) )
| ~ ( ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( p2(X)
& ! [Y] :
( ~ r1(X,Y)
| p2(Y) ) )
| p1(X) )
| p2(Y)
| ~ ( p1(Y)
& ! [X] :
( ~ r1(Y,X)
| p1(X) )
& p1(Y) ) )
& ! [Y] :
( ~ r1(X,Y)
| ~ ( p2(Y)
& ! [X] :
( ~ r1(Y,X)
| p2(X) ) )
| p1(Y)
| ! [X] :
( ~ r1(Y,X)
| p2(X)
| ~ ( p1(X)
& ! [Y] :
( ~ r1(X,Y)
| p1(Y) )
& p1(X) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ~ ( p2(Y)
& ! [X] :
( ~ r1(Y,X)
| p2(X) ) )
| p1(Y)
| p2(Y)
| ~ ( p1(Y)
& ! [X] :
( ~ r1(Y,X)
| p1(X) )
& p1(Y) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(main_negated,plain,
~ ~ ? [X] :
~ ( ~ ( ! [Y] :
( ~ r1(X,Y)
| ~ ( p6(Y)
& ! [X] :
( ~ r1(Y,X)
| p6(X) ) )
| p5(Y) )
| ! [Y] :
( ~ r1(X,Y)
| p6(Y)
| ~ ( p5(Y)
& ! [X] :
( ~ r1(Y,X)
| p5(X) )
& p5(Y) ) )
| ~ ( ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( p6(X)
& ! [Y] :
( ~ r1(X,Y)
| p6(Y) ) )
| p5(X) )
| p6(Y)
| ~ ( p5(Y)
& ! [X] :
( ~ r1(Y,X)
| p5(X) )
& p5(Y) ) )
& ! [Y] :
( ~ r1(X,Y)
| ~ ( p6(Y)
& ! [X] :
( ~ r1(Y,X)
| p6(X) ) )
| p5(Y)
| ! [X] :
( ~ r1(Y,X)
| p6(X)
| ~ ( p5(X)
& ! [Y] :
( ~ r1(X,Y)
| p5(Y) )
& p5(X) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ~ ( p6(Y)
& ! [X] :
( ~ r1(Y,X)
| p6(X) ) )
| p5(Y)
| p6(Y)
| ~ ( p5(Y)
& ! [X] :
( ~ r1(Y,X)
| p5(X) )
& p5(Y) ) ) ) )
| ~ ( ! [Y] :
( ~ r1(X,Y)
| ~ ( p5(Y)
& ! [X] :
( ~ r1(Y,X)
| p5(X) ) )
| p4(Y) )
| ! [Y] :
( ~ r1(X,Y)
| p5(Y)
| ~ ( p4(Y)
& ! [X] :
( ~ r1(Y,X)
| p4(X) )
& p4(Y) ) )
| ~ ( ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( p5(X)
& ! [Y] :
( ~ r1(X,Y)
| p5(Y) ) )
| p4(X) )
| p5(Y)
| ~ ( p4(Y)
& ! [X] :
( ~ r1(Y,X)
| p4(X) )
& p4(Y) ) )
& ! [Y] :
( ~ r1(X,Y)
| ~ ( p5(Y)
& ! [X] :
( ~ r1(Y,X)
| p5(X) ) )
| p4(Y)
| ! [X] :
( ~ r1(Y,X)
| p5(X)
| ~ ( p4(X)
& ! [Y] :
( ~ r1(X,Y)
| p4(Y) )
& p4(X) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ~ ( p5(Y)
& ! [X] :
( ~ r1(Y,X)
| p5(X) ) )
| p4(Y)
| p5(Y)
| ~ ( p4(Y)
& ! [X] :
( ~ r1(Y,X)
| p4(X) )
& p4(Y) ) ) ) )
| ~ ( ! [Y] :
( ~ r1(X,Y)
| ~ ( p4(Y)
& ! [X] :
( ~ r1(Y,X)
| p4(X) ) )
| p3(Y) )
| ! [Y] :
( ~ r1(X,Y)
| p4(Y)
| ~ ( p3(Y)
& ! [X] :
( ~ r1(Y,X)
| p3(X) )
& p3(Y) ) )
| ~ ( ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( p4(X)
& ! [Y] :
( ~ r1(X,Y)
| p4(Y) ) )
| p3(X) )
| p4(Y)
| ~ ( p3(Y)
& ! [X] :
( ~ r1(Y,X)
| p3(X) )
& p3(Y) ) )
& ! [Y] :
( ~ r1(X,Y)
| ~ ( p4(Y)
& ! [X] :
( ~ r1(Y,X)
| p4(X) ) )
| p3(Y)
| ! [X] :
( ~ r1(Y,X)
| p4(X)
| ~ ( p3(X)
& ! [Y] :
( ~ r1(X,Y)
| p3(Y) )
& p3(X) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ~ ( p4(Y)
& ! [X] :
( ~ r1(Y,X)
| p4(X) ) )
| p3(Y)
| p4(Y)
| ~ ( p3(Y)
& ! [X] :
( ~ r1(Y,X)
| p3(X) )
& p3(Y) ) ) ) )
| ~ ( ! [Y] :
( ~ r1(X,Y)
| ~ ( p3(Y)
& ! [X] :
( ~ r1(Y,X)
| p3(X) ) )
| p2(Y) )
| ! [Y] :
( ~ r1(X,Y)
| p3(Y)
| ~ ( p2(Y)
& ! [X] :
( ~ r1(Y,X)
| p2(X) )
& p2(Y) ) )
| ~ ( ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( p3(X)
& ! [Y] :
( ~ r1(X,Y)
| p3(Y) ) )
| p2(X) )
| p3(Y)
| ~ ( p2(Y)
& ! [X] :
( ~ r1(Y,X)
| p2(X) )
& p2(Y) ) )
& ! [Y] :
( ~ r1(X,Y)
| ~ ( p3(Y)
& ! [X] :
( ~ r1(Y,X)
| p3(X) ) )
| p2(Y)
| ! [X] :
( ~ r1(Y,X)
| p3(X)
| ~ ( p2(X)
& ! [Y] :
( ~ r1(X,Y)
| p2(Y) )
& p2(X) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ~ ( p3(Y)
& ! [X] :
( ~ r1(Y,X)
| p3(X) ) )
| p2(Y)
| p3(Y)
| ~ ( p2(Y)
& ! [X] :
( ~ r1(Y,X)
| p2(X) )
& p2(Y) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p5(Y)
| ~ ( ! [X] :
( ~ r1(Y,X)
| p5(X) )
& p5(Y) ) )
| ! [Y] :
( ~ r1(X,Y)
| p5(Y)
| ~ ( ! [X] :
( ~ r1(Y,X)
| p5(X) )
& p5(Y) ) )
| ~ ( ! [Y] :
( ~ r1(X,Y)
| ~ ( p2(Y)
& ! [X] :
( ~ r1(Y,X)
| p2(X) ) )
| p1(Y) )
| ! [Y] :
( ~ r1(X,Y)
| p2(Y)
| ~ ( p1(Y)
& ! [X] :
( ~ r1(Y,X)
| p1(X) )
& p1(Y) ) )
| ~ ( ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( p2(X)
& ! [Y] :
( ~ r1(X,Y)
| p2(Y) ) )
| p1(X) )
| p2(Y)
| ~ ( p1(Y)
& ! [X] :
( ~ r1(Y,X)
| p1(X) )
& p1(Y) ) )
& ! [Y] :
( ~ r1(X,Y)
| ~ ( p2(Y)
& ! [X] :
( ~ r1(Y,X)
| p2(X) ) )
| p1(Y)
| ! [X] :
( ~ r1(Y,X)
| p2(X)
| ~ ( p1(X)
& ! [Y] :
( ~ r1(X,Y)
| p1(Y) )
& p1(X) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ~ ( p2(Y)
& ! [X] :
( ~ r1(Y,X)
| p2(X) ) )
| p1(Y)
| p2(Y)
| ~ ( p1(Y)
& ! [X] :
( ~ r1(Y,X)
| p1(X) )
& p1(Y) ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[main]) ).
cnf(9,plain,
~ p5(sK30),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l0,plain,
~ p5(sK30),
inference(instantiation,[status(thm)],[9]) ).
cnf(11,plain,
p5(sK30),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l2,plain,
p5(sK30),
inference(instantiation,[status(thm)],[11]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL644+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n029.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 5 07:10:10 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % launching worker at depth: 1
% 0.09/0.36 % launching worker at depth: 5
% 0.09/0.36 % launching worker at depth: 3
% 0.09/0.36 % launching worker at depth: 7
% 0.09/0.36 % launching worker at depth: 4
% 0.09/0.36 % launching worker at depth: 8
% 0.09/0.36 % launching worker at depth: 6
% 0.09/0.36 % launching worker at depth: 2
% 0.09/0.36 % SZS status Theorem for theBenchmark
% 0.09/0.36 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------