%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : REL049+1 : TPTP v9.0.0. 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 : n018.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 02:39:20 PM UTC 2025
% Result : Theorem 3.59s 0.81s
% Output : CNFRefutation 3.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 10 unt; 0 def)
% Number of atoms : 16 ( 15 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 7 ( 3 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,plain,
! [X0,X1,X2] :
( ( join(X0,X1) = X1
& join(X2,X1) = X1 )
=> join(join(X0,X2),X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(goals_negated,plain,
~ ! [X0,X1,X2] :
( ( join(X0,X1) = X1
& join(X2,X1) = X1 )
=> join(join(X0,X2),X1) = X1 ),
inference(negate_conjecture,[status(cth)],[goals]) ).
cnf(13,plain,
join(sK1,sK2) = sK2,
inference(cnf,[status(esa)],[goals_negated]) ).
cnf(l0,plain,
join(sK1,sK2) = sK2,
inference(instantiation,[status(thm)],[13]) ).
cnf(15,plain,
join(join(sK1,sK3),sK2) != sK2,
inference(cnf,[status(esa)],[goals_negated]) ).
cnf(l3,plain,
join(join(sK1,sK3),sK2) != sK2,
inference(instantiation,[status(thm)],[15]) ).
fof(maddux2_join_associativity,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('Axioms/REL001+0.ax',maddux2_join_associativity) ).
cnf(1,plain,
join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf,[status(esa)],[maddux2_join_associativity]) ).
cnf(l8,plain,
join(sK1,join(sK3,sK2)) = join(join(sK1,sK3),sK2),
inference(instantiation,[status(thm)],[1]) ).
cnf(14,plain,
join(sK3,sK2) = sK2,
inference(cnf,[status(esa)],[goals_negated]) ).
cnf(l15,plain,
join(sK3,sK2) = sK2,
inference(instantiation,[status(thm)],[14]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l3,l8,l15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : REL049+1 : TPTP v9.0.0. Released v4.0.0.
% 0.06/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Jul 21 17:14:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.33 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.18/0.42 % launching worker at depth: 11
% 3.59/0.81 % SZS status Theorem for theBenchmark
% 3.59/0.81 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------