%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL656+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/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 : Mon Sep 7 12:14:11 PM UTC 2026
% Result : Theorem 0.17s 0.45s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 19 ( 11 unt; 0 def)
% Number of atoms : 105 ( 0 equ)
% Maximal formula atoms : 37 ( 5 avg)
% Number of connectives : 170 ( 84 ~; 58 |; 28 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 23 ( 0 sgn 17 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,plain,
~ ? [X] :
~ ( ~ ! [Y] :
( ~ r1(X,Y)
| p2(Y) )
| ~ ( ! [Y] :
( ~ r1(X,Y)
| ( ( ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ p2(X)
& ~ p102(X)
& p101(X) ) )
& ~ ! [X] :
( ~ r1(Y,X)
| ~ ( p2(X)
& ~ p102(X)
& p101(X) ) ) )
| ~ ( ~ p101(Y)
& p100(Y) ) )
& ( ( ( ! [X] :
( ~ r1(Y,X)
| ~ p2(X)
| ~ p101(X) )
| p2(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p2(X)
| ~ p101(X) )
| ~ p2(Y) ) )
| ~ p101(Y) )
& ( ( ( ! [X] :
( ~ r1(Y,X)
| ~ p1(X)
| ~ p100(X) )
| p1(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p1(X)
| ~ p100(X) )
| ~ p1(Y) ) )
| ~ p100(Y) )
& ( p101(Y)
| ~ p102(Y) )
& ( p100(Y)
| ~ p101(Y) ) ) )
& ~ p101(X)
& p100(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(main_negated,plain,
~ ~ ? [X] :
~ ( ~ ! [Y] :
( ~ r1(X,Y)
| p2(Y) )
| ~ ( ! [Y] :
( ~ r1(X,Y)
| ( ( ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ p2(X)
& ~ p102(X)
& p101(X) ) )
& ~ ! [X] :
( ~ r1(Y,X)
| ~ ( p2(X)
& ~ p102(X)
& p101(X) ) ) )
| ~ ( ~ p101(Y)
& p100(Y) ) )
& ( ( ( ! [X] :
( ~ r1(Y,X)
| ~ p2(X)
| ~ p101(X) )
| p2(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p2(X)
| ~ p101(X) )
| ~ p2(Y) ) )
| ~ p101(Y) )
& ( ( ( ! [X] :
( ~ r1(Y,X)
| ~ p1(X)
| ~ p100(X) )
| p1(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p1(X)
| ~ p100(X) )
| ~ p1(Y) ) )
| ~ p100(Y) )
& ( p101(Y)
| ~ p102(Y) )
& ( p100(Y)
| ~ p101(Y) ) ) )
& ~ p101(X)
& p100(X) ) ),
inference(negate_conjecture,[status(cth)],[main]) ).
cnf(1,plain,
( ~ r1(sK1,X0)
| p2(X0) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l0,plain,
( ~ r1(sK1,sK2(sK1))
| p2(sK2(sK1)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(2,plain,
( ~ p100(X0)
| ~ r1(sK1,X0)
| p101(X0)
| r1(X0,sK2(X0)) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l1,plain,
( ~ p100(sK1)
| ~ r1(sK1,sK1)
| p101(sK1)
| r1(sK1,sK2(sK1)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(17,plain,
p100(sK1),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l6,plain,
p100(sK1),
inference(instantiation,[status(thm)],[17]) ).
cnf(3,plain,
( ~ p100(X0)
| ~ r1(sK1,X0)
| ~ p2(sK2(X0))
| p101(X0) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l2,plain,
( ~ p100(sK1)
| ~ r1(sK1,sK1)
| ~ p2(sK2(sK1))
| p101(sK1) ),
inference(instantiation,[status(thm)],[3]) ).
fof(reflexivity,plain,
! [X] : r1(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
cnf(0,plain,
r1(X0,X0),
inference(cnf,[status(esa)],[reflexivity]) ).
cnf(l8,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(16,plain,
~ p101(sK1),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l4,plain,
~ p101(sK1),
inference(instantiation,[status(thm)],[16]) ).
cnf(l5,plain,
~ p101(sK1),
inference(instantiation,[status(thm)],[16]) ).
cnf(l3,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l10,plain,
p100(sK1),
inference(instantiation,[status(thm)],[17]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l6,l2,l8,l4,l5,l3,l10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL656+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n005.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sat Sep 5 02:15:50 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.45 % launching worker at depth: 1
% 0.17/0.45 % launching worker at depth: 7
% 0.17/0.45 % launching worker at depth: 2
% 0.17/0.45 % launching worker at depth: 4
% 0.17/0.45 % launching worker at depth: 3
% 0.17/0.45 % launching worker at depth: 6
% 0.17/0.45 % launching worker at depth: 8
% 0.17/0.45 % launching worker at depth: 5
% 0.17/0.45 % SZS status Theorem for theBenchmark
% 0.17/0.45 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------