%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LAT042-1 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n027.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 : Thu Jul 24 10:33:56 PM UTC 2025
% Result : Unsatisfiable 3.53s 0.78s
% Output : CNFRefutation 3.53s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_modular_law)
% Comments :
%------------------------------------------------------------------------------
cnf(12,plain,
join(a,meet(b,join(a,c))) != meet(join(a,b),join(a,c)),
inference(cnf,[status(esa)],[prove_modular_law]) ).
cnf(l0,plain,
join(a,meet(b,join(a,c))) != meet(join(a,b),join(a,c)),
inference(instantiation,[status(thm)],[12]) ).
cnf(11,plain,
complement(complement(X0)) = X0,
inference(cnf,[status(esa)],[invertability3]) ).
cnf(l2,plain,
complement(complement(meet(join(a,b),join(a,c)))) = meet(join(a,b),join(a,c)),
inference(instantiation,[status(thm)],[11]) ).
cnf(3,plain,
join(X0,meet(X0,X1)) = X0,
inference(cnf,[status(esa)],[absorption2]) ).
cnf(l5,plain,
join(complement(complement(meet(join(a,b),join(a,c)))),meet(complement(complement(meet(join(a,b),join(a,c)))),complement(complement(meet(join(a,b),join(a,c)))))) = complement(complement(meet(join(a,b),join(a,c)))),
inference(instantiation,[status(thm)],[3]) ).
cnf(0,plain,
meet(X0,X0) = X0,
inference(cnf,[status(esa)],[idempotence_of_meet]) ).
cnf(l7,plain,
meet(complement(complement(meet(join(a,b),join(a,c)))),complement(complement(meet(join(a,b),join(a,c))))) = complement(complement(meet(join(a,b),join(a,c)))),
inference(instantiation,[status(thm)],[0]) ).
cnf(1,plain,
join(X0,X0) = X0,
inference(cnf,[status(esa)],[idempotence_of_join]) ).
cnf(l11,plain,
join(meet(complement(complement(meet(join(a,b),join(a,c)))),complement(complement(meet(join(a,b),join(a,c))))),meet(complement(complement(meet(join(a,b),join(a,c)))),complement(complement(meet(join(a,b),join(a,c)))))) = meet(complement(complement(meet(join(a,b),join(a,c)))),complement(complement(meet(join(a,b),join(a,c))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(4,plain,
meet(X0,X1) = meet(X1,X0),
inference(cnf,[status(esa)],[commutativity_of_meet]) ).
cnf(l22,plain,
meet(join(a,c),b) = meet(b,join(a,c)),
inference(instantiation,[status(thm)],[4]) ).
cnf(l19,plain,
meet(join(a,b),join(a,c)) = meet(join(a,c),join(a,b)),
inference(instantiation,[status(thm)],[4]) ).
cnf(8,plain,
meet(X0,join(X1,X2)) = join(meet(X0,X1),meet(X0,X2)),
inference(cnf,[status(esa)],[distributivity]) ).
cnf(l18,plain,
meet(join(a,c),join(a,b)) = join(meet(join(a,c),a),meet(join(a,c),b)),
inference(instantiation,[status(thm)],[8]) ).
cnf(l15,plain,
meet(complement(complement(meet(join(a,b),join(a,c)))),complement(complement(meet(join(a,b),join(a,c))))) = complement(complement(meet(join(a,b),join(a,c)))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l16,plain,
complement(complement(meet(join(a,b),join(a,c)))) = meet(join(a,b),join(a,c)),
inference(instantiation,[status(thm)],[11]) ).
cnf(l26,plain,
meet(join(a,c),a) = meet(a,join(a,c)),
inference(instantiation,[status(thm)],[4]) ).
cnf(2,plain,
meet(X0,join(X0,X1)) = X0,
inference(cnf,[status(esa)],[absorption1]) ).
cnf(l25,plain,
meet(a,join(a,c)) = a,
inference(instantiation,[status(thm)],[2]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l5,l7,l11,l22,l19,l18,l15,l16,l26,l25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT042-1 : TPTP v9.0.0. Released v2.5.0.
% 0.07/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Jul 20 22:58:04 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % launching worker at depth: 1
% 0.12/0.35 % launching worker at depth: 3
% 0.12/0.35 % launching worker at depth: 7
% 0.12/0.35 % launching worker at depth: 8
% 0.12/0.35 % launching worker at depth: 4
% 0.12/0.35 % launching worker at depth: 5
% 0.12/0.35 % launching worker at depth: 2
% 0.12/0.35 % launching worker at depth: 6
% 0.12/0.35 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 0.12/0.38 % launching worker at depth: 11
% 3.53/0.78 % SZS status Theorem for theBenchmark
% 3.53/0.78 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------