%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET558-6 : TPTP v9.0.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n023.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 03:32:13 PM UTC 2025
% Result : Unsatisfiable 208.51s 26.49s
% Output : CNFRefutation 208.51s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_compatible_functions_alternate_defn1_3)
% Comments :
%------------------------------------------------------------------------------
cnf(114,plain,
cross_product(domain_of(xh),domain_of(xh)) != domain_of(xf1),
inference(cnf,[status(esa)],[prove_compatible_functions_alternate_defn1_3]) ).
cnf(l0,plain,
cross_product(domain_of(xh),domain_of(xh)) != domain_of(xf1),
inference(instantiation,[status(thm)],[114]) ).
cnf(6,plain,
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
inference(cnf,[status(esa)],[subclass_implies_equal]) ).
cnf(l1,plain,
( ~ subclass(cross_product(domain_of(xh),domain_of(xh)),domain_of(xf1))
| ~ subclass(domain_of(xf1),cross_product(domain_of(xh),domain_of(xh)))
| cross_product(domain_of(xh),domain_of(xh)) = domain_of(xf1) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(1,plain,
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf,[status(esa)],[not_subclass_members1]) ).
cnf(l157,plain,
( subclass(cross_product(domain_of(domain_of(xf1)),domain_of(domain_of(xf1))),cross_product(domain_of(domain_of(xf1)),domain_of(domain_of(xf1))))
| member(not_subclass_element(cross_product(domain_of(domain_of(xf1)),domain_of(domain_of(xf1))),cross_product(domain_of(domain_of(xf1)),domain_of(domain_of(xf1)))),cross_product(domain_of(domain_of(xf1)),domain_of(domain_of(xf1)))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(78,plain,
( ~ operation(X0)
| cross_product(domain_of(domain_of(X0)),domain_of(domain_of(X0))) = domain_of(X0) ),
inference(cnf,[status(esa)],[operation2]) ).
cnf(l152,plain,
( ~ operation(xf1)
| cross_product(domain_of(domain_of(xf1)),domain_of(domain_of(xf1))) = domain_of(xf1) ),
inference(instantiation,[status(thm)],[78]) ).
cnf(112,plain,
operation(xf1),
inference(cnf,[status(esa)],[prove_compatible_functions_alternate_defn1_1]) ).
cnf(l160,plain,
operation(xf1),
inference(instantiation,[status(thm)],[112]) ).
cnf(4,plain,
( X0 != X1
| subclass(X0,X1) ),
inference(cnf,[status(esa)],[equal_implies_subclass1]) ).
cnf(l275,plain,
( cross_product(domain_of(domain_of(xf1)),domain_of(domain_of(xf1))) != cross_product(domain_of(domain_of(xf1)),domain_of(domain_of(xf1)))
| subclass(cross_product(domain_of(domain_of(xf1)),domain_of(domain_of(xf1))),cross_product(domain_of(domain_of(xf1)),domain_of(domain_of(xf1)))) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l85,plain,
( ~ operation(xf1)
| cross_product(domain_of(domain_of(xf1)),domain_of(domain_of(xf1))) = domain_of(xf1) ),
inference(instantiation,[status(thm)],[78]) ).
cnf(82,plain,
( ~ compatible(X0,X1,X2)
| domain_of(domain_of(X1)) = domain_of(X0) ),
inference(cnf,[status(esa)],[compatible2]) ).
cnf(l60,plain,
( ~ compatible(xh,xf1,xf2)
| domain_of(domain_of(xf1)) = domain_of(xh) ),
inference(instantiation,[status(thm)],[82]) ).
cnf(113,plain,
compatible(xh,xf1,xf2),
inference(cnf,[status(esa)],[prove_compatible_functions_alternate_defn1_2]) ).
cnf(l64,plain,
compatible(xh,xf1,xf2),
inference(instantiation,[status(thm)],[113]) ).
cnf(l89,plain,
( ~ compatible(xh,xf1,xf2)
| domain_of(domain_of(xf1)) = domain_of(xh) ),
inference(instantiation,[status(thm)],[82]) ).
cnf(l26,plain,
( ~ compatible(xh,xf1,xf2)
| domain_of(domain_of(xf1)) = domain_of(xh) ),
inference(instantiation,[status(thm)],[82]) ).
cnf(l86,plain,
operation(xf1),
inference(instantiation,[status(thm)],[112]) ).
cnf(l41,plain,
compatible(xh,xf1,xf2),
inference(instantiation,[status(thm)],[113]) ).
cnf(l92,plain,
compatible(xh,xf1,xf2),
inference(instantiation,[status(thm)],[113]) ).
cnf(2,plain,
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
inference(cnf,[status(esa)],[not_subclass_members2]) ).
cnf(l161,plain,
( ~ member(not_subclass_element(cross_product(domain_of(domain_of(xf1)),domain_of(domain_of(xf1))),cross_product(domain_of(domain_of(xf1)),domain_of(domain_of(xf1)))),cross_product(domain_of(domain_of(xf1)),domain_of(domain_of(xf1))))
| subclass(cross_product(domain_of(domain_of(xf1)),domain_of(domain_of(xf1))),cross_product(domain_of(domain_of(xf1)),domain_of(domain_of(xf1)))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l31,plain,
( ~ compatible(xh,xf1,xf2)
| domain_of(domain_of(xf1)) = domain_of(xh) ),
inference(instantiation,[status(thm)],[82]) ).
cnf(l32,plain,
compatible(xh,xf1,xf2),
inference(instantiation,[status(thm)],[113]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l157,l152,l160,l275,l85,l60,l64,l89,l26,l86,l41,l92,l161,l31,l32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SET558-6 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.02/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n023.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 21:58:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.36 % launching worker at depth: 10
% 0.18/0.47 % launching worker at depth: 11
% 13.13/1.99 % launching worker at depth: 12
% 208.51/26.49 % SZS status Theorem for theBenchmark
% 208.51/26.49 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------