%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL678+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 : n027.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 12:14:19 PM UTC 2026
% Result : Theorem 0.02s 0.37s
% Output : CNFRefutation 0.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 14 ( 4 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 55 ( 31 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 17 ( 0 sgn 9 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,plain,
~ ? [X] :
~ ( $false
| ~ ! [Y] :
( ~ r1(X,Y)
| $false
| ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| p1(Y) )
| ~ ! [Y] :
( ~ r1(X,Y)
| p1(Y) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(main_negated,plain,
~ ~ ? [X] :
~ ( $false
| ~ ! [Y] :
( ~ r1(X,Y)
| $false
| ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| p1(Y) )
| ~ ! [Y] :
( ~ r1(X,Y)
| p1(Y) ) ) ) ),
inference(negate_conjecture,[status(cth)],[main]) ).
cnf(2,plain,
( ~ r1(sK1,X0)
| r1(X0,sK2(X0)) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l0,plain,
( ~ r1(sK1,sK1)
| r1(sK1,sK2(sK1)) ),
inference(instantiation,[status(thm)],[2]) ).
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(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(5,plain,
( ~ r1(sK1,X0)
| ~ r1(sK2(X0),X1)
| p1(X1) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l2,plain,
( ~ r1(sK1,sK2(sK1))
| ~ r1(sK2(sK2(sK1)),sK3(sK2(sK1)))
| p1(sK3(sK2(sK1))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(4,plain,
( ~ p1(sK3(X0))
| ~ r1(sK1,X0) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l5,plain,
( ~ p1(sK3(sK2(sK1)))
| ~ r1(sK1,sK2(sK1)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(3,plain,
( ~ r1(sK1,X0)
| r1(sK2(X0),sK3(X0)) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l6,plain,
( ~ r1(sK1,sK2(sK1))
| r1(sK2(sK2(sK1)),sK3(sK2(sK1))) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l5,l6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL678+1.001 : 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
% 0.02/0.36 % Computer : n027.cluster.edu
% 0.02/0.36 % Model : x86_64 x86_64
% 0.02/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.36 % Memory : 8046.5625MB
% 0.02/0.36 % OS : Linux 6.8.0-71-generic
% 0.02/0.36 % CPULimit : 300
% 0.02/0.36 % WCLimit : 300
% 0.02/0.36 % DateTime : Sat Sep 5 23:59:58 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.36 % launching worker at depth: 1
% 0.02/0.36 % launching worker at depth: 8
% 0.02/0.36 % launching worker at depth: 3
% 0.02/0.36 % launching worker at depth: 4
% 0.02/0.36 % launching worker at depth: 2
% 0.02/0.36 % launching worker at depth: 5
% 0.02/0.36 % launching worker at depth: 6
% 0.02/0.36 % launching worker at depth: 7
% 0.02/0.37 % launching worker at depth: 9
% 0.02/0.37 % SZS status Theorem for theBenchmark
% 0.02/0.37 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------