%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL686+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 : n031.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 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 21 ( 4 unt; 0 def)
% Number of atoms : 88 ( 0 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 137 ( 70 ~; 59 |; 8 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 28 ( 0 sgn 17 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,plain,
~ ? [X] :
~ ( ! [Y] :
( ~ r1(X,Y)
| ~ p3(Y)
| ! [X] :
( ~ r1(Y,X)
| ~ p1(X) ) )
| ! [Y] :
( ~ r1(X,Y)
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ! [Y] :
( ~ r1(X,Y)
| $false )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p2(Y)
& ~ p1(Y) )
| ( ~ p2(Y)
& p1(Y) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p3(Y) )
| ! [Y] :
( ~ r1(X,Y)
| ( ~ p1(Y)
& ~ p2(Y) )
| ( p2(Y)
& p1(Y) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(main_negated,plain,
~ ~ ? [X] :
~ ( ! [Y] :
( ~ r1(X,Y)
| ~ p3(Y)
| ! [X] :
( ~ r1(Y,X)
| ~ p1(X) ) )
| ! [Y] :
( ~ r1(X,Y)
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ! [Y] :
( ~ r1(X,Y)
| $false )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p2(Y)
& ~ p1(Y) )
| ( ~ p2(Y)
& p1(Y) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p3(Y) )
| ! [Y] :
( ~ r1(X,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]) ).
cnf(9,plain,
( ~ p1(X0)
| ~ r1(X1,X0)
| ~ r1(sK4,X1)
| p2(X0) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l18,plain,
( ~ p1(sK7(sK5(sK4)))
| ~ r1(sK5(sK4),sK7(sK5(sK4)))
| ~ r1(sK4,sK5(sK4))
| p2(sK7(sK5(sK4))) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(8,plain,
( ~ p2(X0)
| ~ r1(X1,X0)
| ~ r1(sK4,X1)
| p1(X0) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l19,plain,
( ~ p2(sK7(sK5(sK4)))
| ~ r1(sK5(sK4),sK7(sK5(sK4)))
| ~ r1(sK4,sK5(sK4))
| p1(sK7(sK5(sK4))) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(13,plain,
( ~ r1(sK4,X0)
| p1(sK7(X0))
| p2(sK7(X0)) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l21,plain,
( ~ r1(sK4,sK5(sK4))
| p1(sK7(sK5(sK4)))
| p2(sK7(sK5(sK4))) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l20,plain,
( ~ p2(sK7(sK5(sK4)))
| ~ r1(sK5(sK4),sK7(sK5(sK4)))
| ~ r1(sK4,sK5(sK4))
| p1(sK7(sK5(sK4))) ),
inference(instantiation,[status(thm)],[8]) ).
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(l1,plain,
r1(sK4,sK4),
inference(instantiation,[status(thm)],[0]) ).
cnf(12,plain,
( ~ r1(sK4,X0)
| r1(X0,sK7(X0)) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l22,plain,
( ~ r1(sK4,sK5(sK4))
| r1(sK5(sK4),sK7(sK5(sK4))) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l29,plain,
( ~ r1(sK4,sK5(sK4))
| r1(sK5(sK4),sK7(sK5(sK4))) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(14,plain,
( ~ p1(sK7(X0))
| ~ p2(sK7(X0))
| ~ r1(sK4,X0) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l28,plain,
( ~ p1(sK7(sK5(sK4)))
| ~ p2(sK7(sK5(sK4)))
| ~ r1(sK4,sK5(sK4)) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l23,plain,
( ~ r1(sK4,sK5(sK4))
| r1(sK5(sK4),sK7(sK5(sK4))) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l18,l19,l21,l20,l1,l22,l29,l28,l23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL686+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
% 0.10/0.35 % Computer : n031.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sat Sep 5 09:54:10 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 % launching worker at depth: 1
% 0.10/0.36 % launching worker at depth: 5
% 0.10/0.36 % launching worker at depth: 2
% 0.10/0.36 % launching worker at depth: 4
% 0.10/0.36 % launching worker at depth: 6
% 0.10/0.36 % launching worker at depth: 7
% 0.10/0.36 % launching worker at depth: 3
% 0.10/0.36 % launching worker at depth: 8
% 0.13/0.36 % launching worker at depth: 9
% 0.13/0.37 % launching worker at depth: 10
% 0.13/0.37 % SZS status Theorem for theBenchmark
% 0.13/0.37 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------