%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL686+1.005 : 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 : 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 12:14:22 PM UTC 2026
% Result : Theorem 0.13s 0.45s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 23 ( 5 unt; 0 def)
% Number of atoms : 333 ( 0 equ)
% Maximal formula atoms : 140 ( 14 avg)
% Number of connectives : 575 ( 265 ~; 206 |; 104 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 56 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 78 ( 0 sgn 65 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,plain,
~ ? [X] :
~ ( ! [Y] :
( ~ r1(X,Y)
| ~ p15(Y)
| ! [X] :
( ~ r1(Y,X)
| ~ p1(X) ) )
| ! [Y] :
( ~ r1(X,Y)
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| $false )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p14(Y)
& ~ p13(Y) )
| ( ~ p14(Y)
& p13(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p13(X)
& ~ p12(X) )
| ( ~ p13(X)
& p12(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p12(Y)
& ~ p11(Y) )
| ( ~ p12(Y)
& p11(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p11(X)
& ~ p10(X) )
| ( ~ p11(X)
& p10(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p10(Y)
& ~ p9(Y) )
| ( ~ p10(Y)
& p9(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p9(X)
& ~ p8(X) )
| ( ~ p9(X)
& p8(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p8(Y)
& ~ p7(Y) )
| ( ~ p8(Y)
& p7(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p7(X)
& ~ p6(X) )
| ( ~ p7(X)
& p6(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p6(Y)
& ~ p5(Y) )
| ( ~ p6(Y)
& p5(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p5(X)
& ~ p4(X) )
| ( ~ p5(X)
& p4(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p4(Y)
& ~ p3(Y) )
| ( ~ p4(Y)
& p3(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p3(X)
& ~ p2(X) )
| ( ~ p3(X)
& p2(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p2(Y)
& ~ p1(Y) )
| ( ~ p2(Y)
& p1(Y) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p15(Y) )
| ! [Y] :
( ~ r1(X,Y)
| ( ~ p13(Y)
& ~ p14(Y) )
| ( p14(Y)
& p13(Y) )
| ( ~ p12(Y)
& ~ p13(Y) )
| ( p13(Y)
& p12(Y) )
| ( ~ p11(Y)
& ~ p12(Y) )
| ( p12(Y)
& p11(Y) )
| ( ~ p10(Y)
& ~ p11(Y) )
| ( p11(Y)
& p10(Y) )
| ( ~ p9(Y)
& ~ p10(Y) )
| ( p10(Y)
& p9(Y) )
| ( ~ p8(Y)
& ~ p9(Y) )
| ( p9(Y)
& p8(Y) )
| ( ~ p7(Y)
& ~ p8(Y) )
| ( p8(Y)
& p7(Y) )
| ( ~ p6(Y)
& ~ p7(Y) )
| ( p7(Y)
& p6(Y) )
| ( ~ p5(Y)
& ~ p6(Y) )
| ( p6(Y)
& p5(Y) )
| ( ~ p4(Y)
& ~ p5(Y) )
| ( p5(Y)
& p4(Y) )
| ( ~ p3(Y)
& ~ p4(Y) )
| ( p4(Y)
& p3(Y) )
| ( ~ p2(Y)
& ~ p3(Y) )
| ( p3(Y)
& p2(Y) )
| ( ~ p1(Y)
& ~ p2(Y) )
| ( p2(Y)
& p1(Y) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(main_negated,plain,
~ ~ ? [X] :
~ ( ! [Y] :
( ~ r1(X,Y)
| ~ p15(Y)
| ! [X] :
( ~ r1(Y,X)
| ~ p1(X) ) )
| ! [Y] :
( ~ r1(X,Y)
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| $false )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p14(Y)
& ~ p13(Y) )
| ( ~ p14(Y)
& p13(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p13(X)
& ~ p12(X) )
| ( ~ p13(X)
& p12(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p12(Y)
& ~ p11(Y) )
| ( ~ p12(Y)
& p11(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p11(X)
& ~ p10(X) )
| ( ~ p11(X)
& p10(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p10(Y)
& ~ p9(Y) )
| ( ~ p10(Y)
& p9(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p9(X)
& ~ p8(X) )
| ( ~ p9(X)
& p8(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p8(Y)
& ~ p7(Y) )
| ( ~ p8(Y)
& p7(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p7(X)
& ~ p6(X) )
| ( ~ p7(X)
& p6(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p6(Y)
& ~ p5(Y) )
| ( ~ p6(Y)
& p5(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p5(X)
& ~ p4(X) )
| ( ~ p5(X)
& p4(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p4(Y)
& ~ p3(Y) )
| ( ~ p4(Y)
& p3(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p3(X)
& ~ p2(X) )
| ( ~ p3(X)
& p2(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p2(Y)
& ~ p1(Y) )
| ( ~ p2(Y)
& p1(Y) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p15(Y) )
| ! [Y] :
( ~ r1(X,Y)
| ( ~ p13(Y)
& ~ p14(Y) )
| ( p14(Y)
& p13(Y) )
| ( ~ p12(Y)
& ~ p13(Y) )
| ( p13(Y)
& p12(Y) )
| ( ~ p11(Y)
& ~ p12(Y) )
| ( p12(Y)
& p11(Y) )
| ( ~ p10(Y)
& ~ p11(Y) )
| ( p11(Y)
& p10(Y) )
| ( ~ p9(Y)
& ~ p10(Y) )
| ( p10(Y)
& p9(Y) )
| ( ~ p8(Y)
& ~ p9(Y) )
| ( p9(Y)
& p8(Y) )
| ( ~ p7(Y)
& ~ p8(Y) )
| ( p8(Y)
& p7(Y) )
| ( ~ p6(Y)
& ~ p7(Y) )
| ( p7(Y)
& p6(Y) )
| ( ~ p5(Y)
& ~ p6(Y) )
| ( p6(Y)
& p5(Y) )
| ( ~ p4(Y)
& ~ p5(Y) )
| ( p5(Y)
& p4(Y) )
| ( ~ p3(Y)
& ~ p4(Y) )
| ( p4(Y)
& p3(Y) )
| ( ~ p2(Y)
& ~ p3(Y) )
| ( p3(Y)
& p2(Y) )
| ( ~ p1(Y)
& ~ p2(Y) )
| ( p2(Y)
& p1(Y) ) ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[main]) ).
cnf(7,plain,
( ~ r1(sK4,X0)
| r1(X0,sK5(X0)) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l0,plain,
( ~ r1(sK4,sK4)
| r1(sK4,sK5(sK4)) ),
inference(instantiation,[status(thm)],[7]) ).
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(l1,plain,
r1(sK4,sK4),
inference(instantiation,[status(thm)],[0]) ).
cnf(44,plain,
( ~ p2(X0)
| ~ r1(X1,X0)
| ~ r1(sK4,X1)
| p1(X0) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l18,plain,
( ~ p2(sK19(sK5(sK4)))
| ~ r1(sK5(sK4),sK19(sK5(sK4)))
| ~ r1(sK4,sK5(sK4))
| p1(sK19(sK5(sK4))) ),
inference(instantiation,[status(thm)],[44]) ).
cnf(42,plain,
( ~ p3(X0)
| ~ r1(sK4,X1)
| ~ r1(sK5(X1),X0)
| p2(X0) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l28,plain,
( ~ p3(sK19(sK5(sK4)))
| ~ r1(sK4,sK4)
| ~ r1(sK5(sK4),sK19(sK5(sK4)))
| p2(sK19(sK5(sK4))) ),
inference(instantiation,[status(thm)],[42]) ).
cnf(48,plain,
( ~ r1(sK4,X0)
| r1(X0,sK19(X0)) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l29,plain,
( ~ r1(sK4,sK5(sK4))
| r1(sK5(sK4),sK19(sK5(sK4))) ),
inference(instantiation,[status(thm)],[48]) ).
cnf(l20,plain,
( ~ r1(sK4,sK5(sK4))
| r1(sK5(sK4),sK19(sK5(sK4))) ),
inference(instantiation,[status(thm)],[48]) ).
cnf(45,plain,
( ~ p1(X0)
| ~ r1(X1,X0)
| ~ r1(sK4,X1)
| p2(X0) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l27,plain,
( ~ p1(sK19(sK5(sK4)))
| ~ r1(sK5(sK4),sK19(sK5(sK4)))
| ~ r1(sK4,sK5(sK4))
| p2(sK19(sK5(sK4))) ),
inference(instantiation,[status(thm)],[45]) ).
cnf(l34,plain,
r1(sK4,sK4),
inference(instantiation,[status(thm)],[0]) ).
cnf(74,plain,
( ~ p1(sK19(X0))
| ~ p2(sK19(X0))
| ~ r1(sK4,X0) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l30,plain,
( ~ p1(sK19(sK5(sK4)))
| ~ p2(sK19(sK5(sK4)))
| ~ r1(sK4,sK5(sK4)) ),
inference(instantiation,[status(thm)],[74]) ).
cnf(71,plain,
( ~ r1(sK4,X0)
| p2(sK19(X0))
| p3(sK19(X0)) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l32,plain,
( ~ r1(sK4,sK5(sK4))
| p2(sK19(sK5(sK4)))
| p3(sK19(sK5(sK4))) ),
inference(instantiation,[status(thm)],[71]) ).
cnf(l33,plain,
( ~ r1(sK4,sK5(sK4))
| r1(sK5(sK4),sK19(sK5(sK4))) ),
inference(instantiation,[status(thm)],[48]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l18,l28,l29,l20,l27,l34,l30,l32,l33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL686+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n019.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 18:47:08 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.13/0.36 % launching worker at depth: 1
% 0.13/0.36 % launching worker at depth: 2
% 0.13/0.36 % launching worker at depth: 3
% 0.13/0.36 % launching worker at depth: 5
% 0.13/0.36 % launching worker at depth: 4
% 0.13/0.36 % launching worker at depth: 6
% 0.13/0.36 % launching worker at depth: 8
% 0.13/0.36 % launching worker at depth: 7
% 0.13/0.37 % launching worker at depth: 9
% 0.13/0.43 % launching worker at depth: 10
% 0.13/0.45 % SZS status Theorem for theBenchmark
% 0.13/0.45 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------