%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LAT035-1 : TPTP v9.0.0. Released v2.4.0.
% 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 : Thu Jul 24 10:33:55 PM UTC 2025
% Result : Unsatisfiable 0.13s 0.34s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named comp_join_hemimorphism)
% Comments :
%------------------------------------------------------------------------------
cnf(19,plain,
( f(k(join(aa,bb))) != join(f(k(aa)),f(k(bb)))
| f(k(n0)) != n0 ),
inference(cnf,[status(esa)],[comp_join_hemimorphism]) ).
cnf(l0,plain,
( f(k(join(aa,bb))) != join(f(k(aa)),f(k(bb)))
| f(k(n0)) != n0 ),
inference(instantiation,[status(thm)],[19]) ).
cnf(18,plain,
f(n1) = n0,
inference(cnf,[status(esa)],[f_on_top]) ).
cnf(l9,plain,
f(n1) = n0,
inference(instantiation,[status(thm)],[18]) ).
cnf(15,plain,
k(n0) = n1,
inference(cnf,[status(esa)],[k_on_bottom]) ).
cnf(l6,plain,
k(n0) = n1,
inference(instantiation,[status(thm)],[15]) ).
cnf(13,plain,
k(join(X0,X1)) = meet(k(X0),k(X1)),
inference(cnf,[status(esa)],[k_on_join]) ).
cnf(l7,plain,
k(join(aa,bb)) = meet(k(aa),k(bb)),
inference(instantiation,[status(thm)],[13]) ).
cnf(17,plain,
f(meet(X0,X1)) = join(f(X0),f(X1)),
inference(cnf,[status(esa)],[f_on_meet]) ).
cnf(l10,plain,
f(meet(k(aa),k(bb))) = join(f(k(aa)),f(k(bb))),
inference(instantiation,[status(thm)],[17]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l9,l6,l7,l10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LAT035-1 : TPTP v9.0.0. Released v2.4.0.
% 0.10/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n017.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sun Jul 20 22:56:49 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.34 % launching worker at depth: 10
% 0.13/0.34 % SZS status Theorem for theBenchmark
% 0.13/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------