%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL650+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 : n026.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 12:14:09 PM UTC 2026
% Result : Theorem 0.12s 0.37s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 42 ( 27 unt; 0 def)
% Number of atoms : 191 ( 0 equ)
% Maximal formula atoms : 43 ( 4 avg)
% Number of connectives : 302 ( 153 ~; 125 |; 24 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 66 ( 0 sgn 40 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,plain,
~ ? [X] :
~ ( ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ~ p8(X)
& ~ p6(X)
& ~ p4(X)
& ~ p2(X) ) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p5(Y) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p3(X)
& ~ p1(X) )
| ( p1(X)
& p3(X) ) ) ) ) )
| ! [X] :
( ~ r1(Y,X)
| p4(X) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p2(X)
& ~ p3(X) )
| ( p3(X)
& p2(X) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p3(Y) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p1(X)
& ~ p2(X) )
| ( p2(X)
& p1(X) ) ) ) ) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( p4(X)
& p3(X)
& p2(X)
& p1(X) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(main_negated,plain,
~ ~ ? [X] :
~ ( ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( ~ p8(X)
& ~ p6(X)
& ~ p4(X)
& ~ p2(X) ) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p5(Y) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p3(X)
& ~ p1(X) )
| ( p1(X)
& p3(X) ) ) ) ) )
| ! [X] :
( ~ r1(Y,X)
| p4(X) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ~ ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p2(X)
& ~ p3(X) )
| ( p3(X)
& p2(X) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p3(Y) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( ~ p1(X)
& ~ p2(X) )
| ( p2(X)
& p1(X) ) ) ) ) ) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ( p4(X)
& p3(X)
& p2(X)
& p1(X) ) ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[main]) ).
cnf(0,plain,
r1(sK1,sK2),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l0,plain,
r1(sK1,sK2),
inference(instantiation,[status(thm)],[0]) ).
cnf(16,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(sK1,X0)
| ~ p2(X3)
| ~ p1(X3) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l1,plain,
( ~ r1(sK2,sK3)
| ~ r1(sK3,sK4)
| ~ r1(sK4,sK5)
| ~ r1(sK1,sK2)
| ~ p2(sK5)
| ~ p1(sK5) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(15,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(sK1,X0)
| p2(X3)
| p1(X3) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l2,plain,
( ~ r1(sK2,sK3)
| ~ r1(sK3,sK4)
| ~ r1(sK4,sK5)
| ~ r1(sK1,sK2)
| p2(sK5)
| p1(sK5) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l3,plain,
( ~ r1(sK2,sK3)
| ~ r1(sK3,sK4)
| ~ r1(sK4,sK5)
| ~ r1(sK1,sK2)
| p2(sK5)
| p1(sK5) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(2,plain,
r1(sK3,sK4),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l4,plain,
r1(sK3,sK4),
inference(instantiation,[status(thm)],[2]) ).
cnf(12,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(sK1,X0)
| ~ p2(X3)
| ~ p3(X3) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l12,plain,
( ~ r1(sK2,sK3)
| ~ r1(sK3,sK4)
| ~ r1(sK4,sK5)
| ~ r1(sK1,sK2)
| ~ p2(sK5)
| ~ p3(sK5) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(1,plain,
r1(sK2,sK3),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l7,plain,
r1(sK2,sK3),
inference(instantiation,[status(thm)],[1]) ).
cnf(8,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(sK1,X0)
| ~ p3(X3)
| ~ p1(X3) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l16,plain,
( ~ r1(sK2,sK3)
| ~ r1(sK3,sK4)
| ~ r1(sK4,sK5)
| ~ r1(sK1,sK2)
| ~ p3(sK5)
| ~ p1(sK5) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(3,plain,
r1(sK4,sK5),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l5,plain,
r1(sK4,sK5),
inference(instantiation,[status(thm)],[3]) ).
cnf(l22,plain,
r1(sK2,sK3),
inference(instantiation,[status(thm)],[1]) ).
cnf(l10,plain,
r1(sK4,sK5),
inference(instantiation,[status(thm)],[3]) ).
cnf(11,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(sK1,X0)
| p2(X3)
| p3(X3) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l28,plain,
( ~ r1(sK2,sK3)
| ~ r1(sK3,sK4)
| ~ r1(sK4,sK5)
| ~ r1(sK1,sK2)
| p2(sK5)
| p3(sK5) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l34,plain,
r1(sK3,sK4),
inference(instantiation,[status(thm)],[2]) ).
cnf(l21,plain,
r1(sK4,sK5),
inference(instantiation,[status(thm)],[3]) ).
cnf(l11,plain,
r1(sK3,sK4),
inference(instantiation,[status(thm)],[2]) ).
cnf(l33,plain,
r1(sK2,sK3),
inference(instantiation,[status(thm)],[1]) ).
cnf(l14,plain,
r1(sK2,sK3),
inference(instantiation,[status(thm)],[1]) ).
cnf(l32,plain,
r1(sK4,sK5),
inference(instantiation,[status(thm)],[3]) ).
cnf(l24,plain,
r1(sK3,sK4),
inference(instantiation,[status(thm)],[2]) ).
cnf(l8,plain,
r1(sK3,sK4),
inference(instantiation,[status(thm)],[2]) ).
cnf(l35,plain,
r1(sK4,sK5),
inference(instantiation,[status(thm)],[3]) ).
cnf(l45,plain,
r1(sK3,sK4),
inference(instantiation,[status(thm)],[2]) ).
cnf(7,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(sK1,X0)
| p3(X3)
| p1(X3) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l30,plain,
( ~ r1(sK2,sK3)
| ~ r1(sK3,sK4)
| ~ r1(sK4,sK5)
| ~ r1(sK1,sK2)
| p3(sK5)
| p1(sK5) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l9,plain,
r1(sK4,sK5),
inference(instantiation,[status(thm)],[3]) ).
cnf(l44,plain,
r1(sK2,sK3),
inference(instantiation,[status(thm)],[1]) ).
cnf(l27,plain,
r1(sK2,sK3),
inference(instantiation,[status(thm)],[1]) ).
cnf(l38,plain,
r1(sK3,sK4),
inference(instantiation,[status(thm)],[2]) ).
cnf(l39,plain,
r1(sK2,sK3),
inference(instantiation,[status(thm)],[1]) ).
cnf(l31,plain,
r1(sK4,sK5),
inference(instantiation,[status(thm)],[3]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l12,l7,l16,l5,l22,l10,l28,l34,l21,l11,l33,l14,l32,l24,l8,l35,l45,l30,l9,l44,l27,l38,l39,l31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL650+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n026.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Sat Sep 5 20:02:26 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 % launching worker at depth: 1
% 0.09/0.35 % launching worker at depth: 5
% 0.09/0.35 % launching worker at depth: 2
% 0.09/0.35 % launching worker at depth: 8
% 0.09/0.35 % launching worker at depth: 4
% 0.09/0.35 % launching worker at depth: 6
% 0.09/0.35 % launching worker at depth: 7
% 0.09/0.35 % launching worker at depth: 3
% 0.09/0.35 % launching worker at depth: 9
% 0.12/0.36 % launching worker at depth: 10
% 0.12/0.37 % SZS status Theorem for theBenchmark
% 0.12/0.37 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------