%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL638+1.001 : 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 : n006.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 12:14:05 PM UTC 2026
% Result : Theorem 0.12s 0.46s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 34 ( 16 unt; 0 def)
% Number of atoms : 134 ( 0 equ)
% Maximal formula atoms : 31 ( 3 avg)
% Number of connectives : 231 ( 131 ~; 92 |; 8 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 54 ( 0 sgn 40 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,plain,
~ ? [X] :
~ ( ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ! [Y] :
( ~ r1(X,Y)
| p1(Y) ) )
& ~ p1(Y) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ p1(Y) ) )
& p1(Y) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ~ ! [X] :
( ~ r1(Y,X)
| ~ p1(X) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ p1(Y) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| p1(Y) ) )
& ! [X] :
( ~ r1(Y,X)
| p1(X) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ! [X] :
( ~ r1(Y,X)
| $false ) )
| ! [Y] :
( ~ r1(X,Y)
| p1(Y)
| ~ ! [X] :
( ~ r1(Y,X)
| p1(X) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(main_negated,plain,
~ ~ ? [X] :
~ ( ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ! [Y] :
( ~ r1(X,Y)
| p1(Y) ) )
& ~ p1(Y) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ p1(Y) ) )
& p1(Y) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ~ ! [X] :
( ~ r1(Y,X)
| ~ p1(X) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ p1(Y) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| p1(Y) ) )
& ! [X] :
( ~ r1(Y,X)
| p1(X) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ! [X] :
( ~ r1(Y,X)
| $false ) )
| ! [Y] :
( ~ r1(X,Y)
| p1(Y)
| ~ ! [X] :
( ~ r1(Y,X)
| p1(X) ) ) ),
inference(negate_conjecture,[status(cth)],[main]) ).
cnf(6,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(sK1,X0)
| r1(X0,sK6(X0))
| p1(X2) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l0,plain,
( ~ r1(sK8,sK7(sK8))
| ~ r1(sK7(sK8),sK2(sK8,sK7(sK8)))
| ~ r1(sK1,sK8)
| r1(sK8,sK6(sK8))
| p1(sK2(sK8,sK7(sK8))) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(8,plain,
( ~ r1(sK1,X0)
| r1(X0,sK7(X0)) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l2,plain,
( ~ r1(sK1,sK8)
| r1(sK8,sK7(sK8)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(9,plain,
r1(sK1,sK8),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l3,plain,
r1(sK1,sK8),
inference(instantiation,[status(thm)],[9]) ).
cnf(1,plain,
( ~ r1(X0,X1)
| ~ r1(sK1,X0)
| ~ p1(sK2(X0,X1))
| p1(X0) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l103,plain,
( ~ r1(sK8,sK7(sK8))
| ~ r1(sK1,sK8)
| ~ p1(sK2(sK8,sK7(sK8)))
| p1(sK8) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l9,plain,
r1(sK1,sK8),
inference(instantiation,[status(thm)],[9]) ).
cnf(0,plain,
( ~ r1(X0,X1)
| ~ r1(sK1,X0)
| r1(X1,sK2(X0,X1))
| p1(X0) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l1,plain,
( ~ r1(sK8,sK7(sK8))
| ~ r1(sK1,sK8)
| r1(sK7(sK8),sK2(sK8,sK7(sK8)))
| p1(sK8) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l104,plain,
( ~ r1(sK1,sK8)
| r1(sK8,sK7(sK8)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l26,plain,
( ~ r1(sK1,sK8)
| r1(sK8,sK7(sK8)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(10,plain,
~ p1(sK8),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l4,plain,
~ p1(sK8),
inference(instantiation,[status(thm)],[10]) ).
cnf(l122,plain,
r1(sK1,sK8),
inference(instantiation,[status(thm)],[9]) ).
cnf(l110,plain,
~ p1(sK8),
inference(instantiation,[status(thm)],[10]) ).
cnf(l113,plain,
r1(sK1,sK8),
inference(instantiation,[status(thm)],[9]) ).
cnf(l123,plain,
r1(sK1,sK8),
inference(instantiation,[status(thm)],[9]) ).
cnf(l6,plain,
r1(sK1,sK8),
inference(instantiation,[status(thm)],[9]) ).
cnf(7,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(sK1,X0)
| ~ p1(sK6(X0))
| p1(X2) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l5,plain,
( ~ r1(sK8,sK6(sK8))
| ~ r1(sK6(sK8),sK2(sK8,sK6(sK8)))
| ~ r1(sK1,sK8)
| ~ p1(sK6(sK8))
| p1(sK2(sK8,sK6(sK8))) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l89,plain,
r1(sK1,sK8),
inference(instantiation,[status(thm)],[9]) ).
cnf(l43,plain,
( ~ r1(sK8,sK6(sK8))
| ~ r1(sK1,sK8)
| r1(sK6(sK8),sK2(sK8,sK6(sK8)))
| p1(sK8) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l76,plain,
r1(sK1,sK8),
inference(instantiation,[status(thm)],[9]) ).
cnf(l95,plain,
( ~ r1(sK8,sK6(sK8))
| ~ r1(sK1,sK8)
| ~ p1(sK2(sK8,sK6(sK8)))
| p1(sK8) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l96,plain,
r1(sK1,sK8),
inference(instantiation,[status(thm)],[9]) ).
cnf(11,plain,
( ~ r1(sK8,X0)
| p1(X0) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l12,plain,
( ~ r1(sK8,sK6(sK8))
| p1(sK6(sK8)) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l67,plain,
~ p1(sK8),
inference(instantiation,[status(thm)],[10]) ).
cnf(l98,plain,
~ p1(sK8),
inference(instantiation,[status(thm)],[10]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l3,l103,l9,l1,l104,l26,l4,l122,l110,l113,l123,l6,l5,l89,l43,l76,l95,l96,l12,l67,l98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL638+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n006.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 4 19:38:01 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 % launching worker at depth: 1
% 0.08/0.35 % launching worker at depth: 5
% 0.08/0.35 % launching worker at depth: 6
% 0.08/0.35 % launching worker at depth: 2
% 0.08/0.35 % launching worker at depth: 4
% 0.08/0.35 % launching worker at depth: 7
% 0.08/0.35 % launching worker at depth: 8
% 0.08/0.35 % launching worker at depth: 3
% 0.12/0.36 % launching worker at depth: 9
% 0.12/0.38 % launching worker at depth: 10
% 0.12/0.46 % SZS status Theorem for theBenchmark
% 0.12/0.46 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------