%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL674+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 : 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 : Mon Sep 7 12:14:18 PM UTC 2026
% Result : Theorem 2.84s 0.79s
% Output : CNFRefutation 2.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 47 ( 26 unt; 0 def)
% Number of atoms : 337 ( 0 equ)
% Maximal formula atoms : 121 ( 7 avg)
% Number of connectives : 558 ( 268 ~; 180 |; 109 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 64 ( 0 sgn 52 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,plain,
~ ? [X] :
~ ( ~ ! [Y] :
( ~ r1(X,Y)
| p3(Y) )
| ~ ( ! [Y] :
( ~ r1(X,Y)
| ( ( ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ p6(X)
& ~ p106(X)
& p105(X) ) )
& ~ ! [X] :
( ~ r1(Y,X)
| ~ ( p6(X)
& ~ p106(X)
& p105(X) ) ) )
| ~ ( ~ p105(Y)
& p104(Y) ) )
& ( ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ p5(X)
& ~ p105(X)
& p104(X) ) )
& ~ ! [X] :
( ~ r1(Y,X)
| ~ ( p5(X)
& ~ p105(X)
& p104(X) ) ) )
| ~ ( ~ p104(Y)
& p103(Y) ) )
& ( ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ p4(X)
& ~ p104(X)
& p103(X) ) )
& ~ ! [X] :
( ~ r1(Y,X)
| ~ ( p4(X)
& ~ p104(X)
& p103(X) ) ) )
| ~ ( ~ p103(Y)
& p102(Y) ) )
& ( ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ p3(X)
& ~ p103(X)
& p102(X) ) )
& ~ ! [X] :
( ~ r1(Y,X)
| ~ ( p3(X)
& ~ p103(X)
& p102(X) ) ) )
| ~ ( ~ p102(Y)
& p101(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)
| ~ p6(X)
| ~ p105(X) )
| p6(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p6(X)
| ~ p105(X) )
| ~ p6(Y) ) )
| ~ p105(Y) )
& ( ( ( ! [X] :
( ~ r1(Y,X)
| ~ p5(X)
| ~ p104(X) )
| p5(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p5(X)
| ~ p104(X) )
| ~ p5(Y) ) )
| ~ p104(Y) )
& ( ( ( ! [X] :
( ~ r1(Y,X)
| ~ p4(X)
| ~ p103(X) )
| p4(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p4(X)
| ~ p103(X) )
| ~ p4(Y) ) )
| ~ p103(Y) )
& ( ( ( ! [X] :
( ~ r1(Y,X)
| ~ p3(X)
| ~ p102(X) )
| p3(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p3(X)
| ~ p102(X) )
| ~ p3(Y) ) )
| ~ p102(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) )
& ( p105(Y)
| ~ p106(Y) )
& ( p104(Y)
| ~ p105(Y) )
& ( p103(Y)
| ~ p104(Y) )
& ( p102(Y)
| ~ p103(Y) )
& ( p101(Y)
| ~ p102(Y) )
& ( p100(Y)
| ~ p101(Y) ) ) )
& ~ p101(X)
& p100(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(main_negated,plain,
~ ~ ? [X] :
~ ( ~ ! [Y] :
( ~ r1(X,Y)
| p3(Y) )
| ~ ( ! [Y] :
( ~ r1(X,Y)
| ( ( ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ p6(X)
& ~ p106(X)
& p105(X) ) )
& ~ ! [X] :
( ~ r1(Y,X)
| ~ ( p6(X)
& ~ p106(X)
& p105(X) ) ) )
| ~ ( ~ p105(Y)
& p104(Y) ) )
& ( ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ p5(X)
& ~ p105(X)
& p104(X) ) )
& ~ ! [X] :
( ~ r1(Y,X)
| ~ ( p5(X)
& ~ p105(X)
& p104(X) ) ) )
| ~ ( ~ p104(Y)
& p103(Y) ) )
& ( ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ p4(X)
& ~ p104(X)
& p103(X) ) )
& ~ ! [X] :
( ~ r1(Y,X)
| ~ ( p4(X)
& ~ p104(X)
& p103(X) ) ) )
| ~ ( ~ p103(Y)
& p102(Y) ) )
& ( ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ p3(X)
& ~ p103(X)
& p102(X) ) )
& ~ ! [X] :
( ~ r1(Y,X)
| ~ ( p3(X)
& ~ p103(X)
& p102(X) ) ) )
| ~ ( ~ p102(Y)
& p101(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)
| ~ p6(X)
| ~ p105(X) )
| p6(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p6(X)
| ~ p105(X) )
| ~ p6(Y) ) )
| ~ p105(Y) )
& ( ( ( ! [X] :
( ~ r1(Y,X)
| ~ p5(X)
| ~ p104(X) )
| p5(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p5(X)
| ~ p104(X) )
| ~ p5(Y) ) )
| ~ p104(Y) )
& ( ( ( ! [X] :
( ~ r1(Y,X)
| ~ p4(X)
| ~ p103(X) )
| p4(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p4(X)
| ~ p103(X) )
| ~ p4(Y) ) )
| ~ p103(Y) )
& ( ( ( ! [X] :
( ~ r1(Y,X)
| ~ p3(X)
| ~ p102(X) )
| p3(Y) )
& ( ! [X] :
( ~ r1(Y,X)
| p3(X)
| ~ p102(X) )
| ~ p3(Y) ) )
| ~ p102(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) )
& ( p105(Y)
| ~ p106(Y) )
& ( p104(Y)
| ~ p105(Y) )
& ( p103(Y)
| ~ p104(Y) )
& ( p102(Y)
| ~ p103(Y) )
& ( p101(Y)
| ~ p102(Y) )
& ( p100(Y)
| ~ p101(Y) ) ) )
& ~ p101(X)
& p100(X) ) ),
inference(negate_conjecture,[status(cth)],[main]) ).
cnf(2,plain,
( ~ r1(sK1,X0)
| p3(X0) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l0,plain,
( ~ r1(sK1,sK8(sK11(sK1)))
| p3(sK8(sK11(sK1))) ),
inference(instantiation,[status(thm)],[2]) ).
fof(transitivity,plain,
! [X,Y,Z] :
( ( r1(X,Y)
& r1(Y,Z) )
=> r1(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).
cnf(1,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| r1(X0,X2) ),
inference(cnf,[status(esa)],[transitivity]) ).
cnf(l1,plain,
( ~ r1(sK1,sK11(sK1))
| ~ r1(sK11(sK1),sK8(sK11(sK1)))
| r1(sK1,sK8(sK11(sK1))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(39,plain,
( ~ p100(X0)
| ~ r1(sK1,X0)
| p101(X0)
| r1(X0,sK11(X0)) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l14,plain,
( ~ p100(sK1)
| ~ r1(sK1,sK1)
| p101(sK1)
| r1(sK1,sK11(sK1)) ),
inference(instantiation,[status(thm)],[39]) ).
cnf(62,plain,
p100(sK1),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l25,plain,
p100(sK1),
inference(instantiation,[status(thm)],[62]) ).
cnf(28,plain,
( ~ p101(X0)
| ~ p3(sK8(X0))
| ~ r1(sK1,X0)
| p102(X0) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l2,plain,
( ~ p101(sK11(sK1))
| ~ p3(sK8(sK11(sK1)))
| ~ r1(sK1,sK11(sK1))
| p102(sK11(sK1)) ),
inference(instantiation,[status(thm)],[28]) ).
cnf(42,plain,
( ~ p100(X0)
| ~ r1(sK1,X0)
| p101(X0)
| p101(sK11(X0)) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l12,plain,
( ~ p100(sK1)
| ~ r1(sK1,sK1)
| p101(sK1)
| p101(sK11(sK1)) ),
inference(instantiation,[status(thm)],[42]) ).
cnf(l194,plain,
( ~ p100(sK1)
| ~ r1(sK1,sK1)
| p101(sK1)
| r1(sK1,sK11(sK1)) ),
inference(instantiation,[status(thm)],[39]) ).
fof(reflexivity,plain,
! [X] : r1(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
cnf(0,plain,
r1(X0,X0),
inference(cnf,[status(esa)],[reflexivity]) ).
cnf(l53,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(61,plain,
~ p101(sK1),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l51,plain,
~ p101(sK1),
inference(instantiation,[status(thm)],[61]) ).
cnf(27,plain,
( ~ p101(X0)
| ~ r1(sK1,X0)
| p102(X0)
| r1(X0,sK8(X0)) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l3,plain,
( ~ p101(sK11(sK1))
| ~ r1(sK1,sK11(sK1))
| p102(sK11(sK1))
| r1(sK11(sK1),sK8(sK11(sK1))) ),
inference(instantiation,[status(thm)],[27]) ).
cnf(l7,plain,
( ~ p100(sK1)
| ~ r1(sK1,sK1)
| p101(sK1)
| r1(sK1,sK11(sK1)) ),
inference(instantiation,[status(thm)],[39]) ).
cnf(l15,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l38,plain,
p100(sK1),
inference(instantiation,[status(thm)],[62]) ).
cnf(41,plain,
( ~ p100(X0)
| ~ p102(sK11(X0))
| ~ r1(sK1,X0)
| p101(X0) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l181,plain,
( ~ p100(sK1)
| ~ p102(sK11(sK1))
| ~ r1(sK1,sK1)
| p101(sK1) ),
inference(instantiation,[status(thm)],[41]) ).
cnf(l5,plain,
( ~ p100(sK1)
| ~ p102(sK11(sK1))
| ~ r1(sK1,sK1)
| p101(sK1) ),
inference(instantiation,[status(thm)],[41]) ).
cnf(l197,plain,
p100(sK1),
inference(instantiation,[status(thm)],[62]) ).
cnf(l190,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l182,plain,
~ p101(sK1),
inference(instantiation,[status(thm)],[61]) ).
cnf(l187,plain,
~ p101(sK1),
inference(instantiation,[status(thm)],[61]) ).
cnf(l19,plain,
p100(sK1),
inference(instantiation,[status(thm)],[62]) ).
cnf(l199,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l43,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l10,plain,
( ~ p100(sK1)
| ~ r1(sK1,sK1)
| p101(sK1)
| p101(sK11(sK1)) ),
inference(instantiation,[status(thm)],[42]) ).
cnf(l22,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l58,plain,
~ p101(sK1),
inference(instantiation,[status(thm)],[61]) ).
cnf(l16,plain,
p100(sK1),
inference(instantiation,[status(thm)],[62]) ).
cnf(l198,plain,
~ p101(sK1),
inference(instantiation,[status(thm)],[61]) ).
cnf(l121,plain,
~ p101(sK1),
inference(instantiation,[status(thm)],[61]) ).
cnf(l171,plain,
r1(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l185,plain,
p100(sK1),
inference(instantiation,[status(thm)],[62]) ).
cnf(l11,plain,
p100(sK1),
inference(instantiation,[status(thm)],[62]) ).
cnf(l195,plain,
~ p101(sK1),
inference(instantiation,[status(thm)],[61]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l14,l25,l2,l12,l194,l53,l51,l3,l7,l15,l38,l181,l5,l197,l190,l182,l187,l19,l199,l43,l10,l22,l58,l16,l198,l121,l171,l185,l11,l195]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL674+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
% 0.08/0.33 % Computer : n009.cluster.edu
% 0.08/0.33 % Model : x86_64 x86_64
% 0.08/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.33 % Memory : 8046.5625MB
% 0.08/0.33 % OS : Linux 6.8.0-71-generic
% 0.08/0.33 % CPULimit : 300
% 0.08/0.33 % WCLimit : 300
% 0.08/0.33 % DateTime : Sat Sep 5 02:06:06 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.34 % launching worker at depth: 1
% 0.08/0.34 % launching worker at depth: 3
% 0.08/0.34 % launching worker at depth: 2
% 0.08/0.34 % launching worker at depth: 4
% 0.08/0.34 % launching worker at depth: 5
% 0.08/0.34 % launching worker at depth: 6
% 0.08/0.34 % launching worker at depth: 7
% 0.08/0.34 % launching worker at depth: 8
% 0.08/0.35 % launching worker at depth: 9
% 0.12/0.43 % launching worker at depth: 10
% 2.84/0.79 % SZS status Theorem for theBenchmark
% 2.84/0.79 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------