%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL672+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 : n019.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 12:14:17 PM UTC 2026
% Result : Theorem 2.20s 0.66s
% Output : CNFRefutation 2.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 37 ( 29 unt; 0 def)
% Number of atoms : 171 ( 0 equ)
% Maximal formula atoms : 49 ( 4 avg)
% Number of connectives : 292 ( 158 ~; 112 |; 22 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-3 aty)
% Number of variables : 77 ( 0 sgn 61 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,plain,
~ ? [X] :
~ ( ( ~ ! [Y] :
( ~ r1(X,Y)
| p2(Y) )
& ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ p1(Y) ) )
& p1(Y) ) )
& ~ ! [Y] :
( ~ r1(X,Y)
| p1(Y) ) )
| ( ~ ! [Y] :
( ~ r1(X,Y)
| p2(Y) )
& ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ~ ! [Y] :
( ~ r1(X,Y)
| ~ ! [X] :
( ~ r1(Y,X)
| p1(X) ) )
& ~ ! [Y] :
( ~ r1(X,Y)
| p1(Y) ) ) ) )
& ~ ! [Y] :
( ~ r1(X,Y)
| p1(Y) ) )
| ( ~ ! [Y] :
( ~ r1(X,Y)
| p2(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)
| p1(Y) ) )
| ( ~ ! [Y] :
( ~ r1(X,Y)
| p2(Y) )
& ~ ! [Y] :
( ~ r1(X,Y)
| ~ ! [X] :
( ~ r1(Y,X)
| $false ) )
& ~ ! [Y] :
( ~ r1(X,Y)
| p1(Y) ) )
| ! [Y] :
( ~ r1(X,Y)
| p2(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)
| p1(Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(main_negated,plain,
~ ~ ? [X] :
~ ( ( ~ ! [Y] :
( ~ r1(X,Y)
| p2(Y) )
& ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ p1(Y) ) )
& p1(Y) ) )
& ~ ! [Y] :
( ~ r1(X,Y)
| p1(Y) ) )
| ( ~ ! [Y] :
( ~ r1(X,Y)
| p2(Y) )
& ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ~ ! [Y] :
( ~ r1(X,Y)
| ~ ! [X] :
( ~ r1(Y,X)
| p1(X) ) )
& ~ ! [Y] :
( ~ r1(X,Y)
| p1(Y) ) ) ) )
& ~ ! [Y] :
( ~ r1(X,Y)
| p1(Y) ) )
| ( ~ ! [Y] :
( ~ r1(X,Y)
| p2(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)
| p1(Y) ) )
| ( ~ ! [Y] :
( ~ r1(X,Y)
| p2(Y) )
& ~ ! [Y] :
( ~ r1(X,Y)
| ~ ! [X] :
( ~ r1(Y,X)
| $false ) )
& ~ ! [Y] :
( ~ r1(X,Y)
| p1(Y) ) )
| ! [Y] :
( ~ r1(X,Y)
| p2(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)
| p1(Y) ) ),
inference(negate_conjecture,[status(cth)],[main]) ).
cnf(13,plain,
( ~ r1(sK9,X0)
| p1(X0) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l0,plain,
( ~ r1(sK9,sK3(sK8,sK8,sK9))
| p1(sK3(sK8,sK8,sK9)) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(4,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X1,X3)
| ~ r1(sK1,X4)
| ~ r1(sK1,X0)
| ~ r1(sK1,X5)
| p1(X3)
| p1(X5)
| p2(X4)
| r1(X2,sK3(X0,X1,X2)) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l2,plain,
( ~ r1(sK8,sK8)
| ~ r1(sK8,sK9)
| ~ r1(sK8,sK10)
| ~ r1(sK1,sK7)
| ~ r1(sK1,sK8)
| ~ r1(sK1,sK11)
| p1(sK10)
| p1(sK11)
| p2(sK7)
| r1(sK9,sK3(sK8,sK8,sK9)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(10,plain,
~ p2(sK7),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l19,plain,
~ p2(sK7),
inference(instantiation,[status(thm)],[10]) ).
cnf(11,plain,
r1(sK1,sK8),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l17,plain,
r1(sK1,sK8),
inference(instantiation,[status(thm)],[11]) ).
cnf(17,plain,
~ p1(sK11),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l9,plain,
~ p1(sK11),
inference(instantiation,[status(thm)],[17]) ).
cnf(15,plain,
~ p1(sK10),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l41,plain,
~ p1(sK10),
inference(instantiation,[status(thm)],[15]) ).
cnf(16,plain,
r1(sK1,sK11),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l44,plain,
r1(sK1,sK11),
inference(instantiation,[status(thm)],[16]) ).
cnf(12,plain,
r1(sK8,sK9),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l18,plain,
r1(sK8,sK9),
inference(instantiation,[status(thm)],[12]) ).
cnf(5,plain,
( ~ p1(sK3(X0,X1,X2))
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X1,X3)
| ~ r1(sK1,X4)
| ~ r1(sK1,X0)
| ~ r1(sK1,X5)
| p1(X3)
| p1(X5)
| p2(X4) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l4,plain,
( ~ p1(sK3(sK8,sK8,sK9))
| ~ r1(sK8,sK8)
| ~ r1(sK8,sK9)
| ~ r1(sK8,sK10)
| ~ r1(sK1,sK7)
| ~ r1(sK1,sK8)
| ~ r1(sK1,sK11)
| p1(sK10)
| p1(sK11)
| p2(sK7) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l38,plain,
r1(sK8,sK9),
inference(instantiation,[status(thm)],[12]) ).
cnf(l61,plain,
~ p1(sK10),
inference(instantiation,[status(thm)],[15]) ).
cnf(l104,plain,
~ p2(sK7),
inference(instantiation,[status(thm)],[10]) ).
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(l7,plain,
r1(sK8,sK8),
inference(instantiation,[status(thm)],[0]) ).
cnf(14,plain,
r1(sK8,sK10),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l36,plain,
r1(sK8,sK10),
inference(instantiation,[status(thm)],[14]) ).
cnf(9,plain,
r1(sK1,sK7),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l14,plain,
r1(sK1,sK7),
inference(instantiation,[status(thm)],[9]) ).
cnf(l54,plain,
r1(sK8,sK8),
inference(instantiation,[status(thm)],[0]) ).
cnf(l8,plain,
r1(sK8,sK10),
inference(instantiation,[status(thm)],[14]) ).
cnf(l51,plain,
r1(sK1,sK8),
inference(instantiation,[status(thm)],[11]) ).
cnf(l52,plain,
r1(sK1,sK7),
inference(instantiation,[status(thm)],[9]) ).
cnf(l62,plain,
~ p1(sK11),
inference(instantiation,[status(thm)],[17]) ).
cnf(l53,plain,
r1(sK1,sK11),
inference(instantiation,[status(thm)],[16]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l19,l17,l9,l41,l44,l18,l4,l38,l61,l104,l7,l36,l14,l54,l8,l51,l52,l62,l53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL672+1.001 : 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
% 0.10/0.36 % Computer : n019.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 5 14:35:08 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % launching worker at depth: 1
% 0.10/0.37 % launching worker at depth: 2
% 0.10/0.37 % launching worker at depth: 3
% 0.10/0.37 % launching worker at depth: 6
% 0.10/0.37 % launching worker at depth: 8
% 0.10/0.37 % launching worker at depth: 7
% 0.10/0.37 % launching worker at depth: 4
% 0.10/0.37 % launching worker at depth: 5
% 0.10/0.38 % launching worker at depth: 9
% 2.20/0.66 % SZS status Theorem for theBenchmark
% 2.20/0.66 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------