%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : REL003+1 : TPTP v9.0.0. 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 : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Jul 25 02:39:06 PM UTC 2025
% Result : Theorem 14.52s 2.16s
% Output : CNFRefutation 14.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 9 unt; 0 def)
% Number of atoms : 35 ( 25 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 26 ( 11 ~; 9 |; 2 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,plain,
! [X0,X1] :
( ( join(X0,X1) = X1
=> join(converse(X0),converse(X1)) = converse(X1) )
& ( join(converse(X0),converse(X1)) = converse(X1)
=> join(X0,X1) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(goals_negated,plain,
~ ! [X0,X1] :
( ( join(X0,X1) = X1
=> join(converse(X0),converse(X1)) = converse(X1) )
& ( join(converse(X0),converse(X1)) = converse(X1)
=> join(X0,X1) = X1 ) ),
inference(negate_conjecture,[status(cth)],[goals]) ).
cnf(13,plain,
( join(sK1,sK2) = sK2
| sP0 ),
inference(cnf,[status(esa)],[goals_negated]) ).
cnf(l0,plain,
( join(sK1,sK2) = sK2
| sP0 ),
inference(instantiation,[status(thm)],[13]) ).
cnf(15,plain,
( join(sK1,sK2) != sK2
| ~ sP0 ),
inference(cnf,[status(esa)],[goals_negated]) ).
cnf(l1,plain,
( join(sK1,sK2) != sK2
| ~ sP0 ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l3,plain,
( join(sK1,sK2) != sK2
| ~ sP0 ),
inference(instantiation,[status(thm)],[15]) ).
fof(converse_idempotence,plain,
! [X0] : converse(converse(X0)) = X0,
file('Axioms/REL001+0.ax',converse_idempotence) ).
cnf(7,plain,
converse(converse(X0)) = X0,
inference(cnf,[status(esa)],[converse_idempotence]) ).
cnf(l19,plain,
converse(converse(sK2)) = sK2,
inference(instantiation,[status(thm)],[7]) ).
cnf(14,plain,
( join(converse(sK1),converse(sK2)) != converse(sK2)
| sP0 ),
inference(cnf,[status(esa)],[goals_negated]) ).
cnf(l39,plain,
( join(converse(sK1),converse(sK2)) != converse(sK2)
| sP0 ),
inference(instantiation,[status(thm)],[14]) ).
cnf(16,plain,
( join(converse(sK1),converse(sK2)) = converse(sK2)
| ~ sP0 ),
inference(cnf,[status(esa)],[goals_negated]) ).
cnf(l15,plain,
( join(converse(sK1),converse(sK2)) = converse(sK2)
| ~ sP0 ),
inference(instantiation,[status(thm)],[16]) ).
fof(converse_additivity,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('Axioms/REL001+0.ax',converse_additivity) ).
cnf(8,plain,
converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf,[status(esa)],[converse_additivity]) ).
cnf(l73,plain,
converse(join(sK1,sK2)) = join(converse(sK1),converse(sK2)),
inference(instantiation,[status(thm)],[8]) ).
cnf(l12,plain,
converse(join(sK1,sK2)) = join(converse(sK1),converse(sK2)),
inference(instantiation,[status(thm)],[8]) ).
cnf(l16,plain,
converse(converse(join(sK1,sK2))) = join(sK1,sK2),
inference(instantiation,[status(thm)],[7]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l19,l39,l15,l73,l12,l16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : REL003+1 : TPTP v9.0.0. Released v4.0.0.
% 0.00/0.09 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.29 % Computer : n017.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Mon Jul 21 16:24:49 EDT 2025
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % launching worker at depth: 1
% 0.09/0.29 % launching worker at depth: 6
% 0.09/0.29 % launching worker at depth: 3
% 0.09/0.29 % launching worker at depth: 2
% 0.09/0.29 % launching worker at depth: 4
% 0.09/0.29 % launching worker at depth: 5
% 0.09/0.29 % launching worker at depth: 7
% 0.09/0.29 % launching worker at depth: 8
% 0.09/0.30 % launching worker at depth: 9
% 0.09/0.30 % launching worker at depth: 10
% 0.09/0.31 % launching worker at depth: 11
% 0.14/0.39 % launching worker at depth: 12
% 14.52/2.16 % SZS status Theorem for theBenchmark
% 14.52/2.16 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------