%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET865-1 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n028.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 03:32:53 PM UTC 2025
% Result : Unsatisfiable 26.92s 3.71s
% Output : CNFRefutation 26.92s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named cls_conjecture_0)
% Comments :
%------------------------------------------------------------------------------
cnf(1360,plain,
( ~ c_in(X0,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Union(X0,t_a),v_S,tc_set(t_a)) ),
inference(cnf,[status(esa)],[cls_conjecture_0]) ).
cnf(l0,plain,
( ~ c_in(c_Zorn_OHausdorff__1(v_S,t_a),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a),v_S,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[1360]) ).
cnf(1362,plain,
( ~ c_in(X0,v_S,tc_set(t_a))
| c_lessequals(X0,v_x(X0),tc_set(t_a)) ),
inference(cnf,[status(esa)],[cls_conjecture_2]) ).
cnf(l4,plain,
( ~ c_in(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a),v_S,tc_set(t_a))
| c_lessequals(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a),v_x(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a)),tc_set(t_a)) ),
inference(instantiation,[status(thm)],[1362]) ).
cnf(1358,plain,
( ~ c_in(X0,X1,tc_set(X2))
| ~ c_in(X3,c_Zorn_Omaxchain(X1,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(c_Union(X3,X2),X0,tc_set(X2))
| c_Union(X3,X2) = X0 ),
inference(cnf,[status(esa)],[cls_Zorn_Omaxchain__Zorn_0]) ).
cnf(l5,plain,
( ~ c_in(v_x(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a)),v_S,tc_set(t_a))
| ~ c_in(c_Zorn_OHausdorff__1(v_S,t_a),c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a),v_x(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a)),tc_set(t_a))
| c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a) = v_x(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a)) ),
inference(instantiation,[status(thm)],[1358]) ).
cnf(1357,plain,
c_in(c_Zorn_OHausdorff__1(X0,X1),c_Zorn_Omaxchain(X0,X1),tc_set(tc_set(X1))),
inference(cnf,[status(esa)],[cls_Zorn_OHausdorff_0]) ).
cnf(l6,plain,
c_in(c_Zorn_OHausdorff__1(v_S,t_a),c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
inference(instantiation,[status(thm)],[1357]) ).
cnf(168,plain,
( ~ c_in(X0,c_union(X1,X2,X3),X3)
| c_in(X0,X1,X3)
| c_in(X0,X2,X3) ),
inference(cnf,[status(esa)],[cls_Set_OUnE_0]) ).
cnf(l1,plain,
( ~ c_in(c_Zorn_OHausdorff__1(v_S,t_a),c_union(c_Zorn_Omaxchain(v_S,t_a),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))),tc_set(tc_set(t_a)))
| c_in(c_Zorn_OHausdorff__1(v_S,t_a),c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Zorn_OHausdorff__1(v_S,t_a),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(instantiation,[status(thm)],[168]) ).
cnf(167,plain,
( ~ c_in(X0,X1,X2)
| c_in(X0,c_union(X1,X3,X2),X2) ),
inference(cnf,[status(esa)],[cls_Set_OUnCI_1]) ).
cnf(l2,plain,
( ~ c_in(c_Zorn_OHausdorff__1(v_S,t_a),c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Zorn_OHausdorff__1(v_S,t_a),c_union(c_Zorn_Omaxchain(v_S,t_a),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))),tc_set(tc_set(t_a))) ),
inference(instantiation,[status(thm)],[167]) ).
cnf(1361,plain,
( ~ c_in(X0,v_S,tc_set(t_a))
| c_in(v_x(X0),v_S,tc_set(t_a)) ),
inference(cnf,[status(esa)],[cls_conjecture_1]) ).
cnf(l8,plain,
( ~ c_in(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a),v_S,tc_set(t_a))
| c_in(v_x(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a)),v_S,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[1361]) ).
cnf(1363,plain,
( ~ c_in(X0,v_S,tc_set(t_a))
| X0 != v_x(X0) ),
inference(cnf,[status(esa)],[cls_conjecture_3]) ).
cnf(l12,plain,
( ~ c_in(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a),v_S,tc_set(t_a))
| c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a) != v_x(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a)) ),
inference(instantiation,[status(thm)],[1363]) ).
cnf(l3,plain,
c_in(c_Zorn_OHausdorff__1(v_S,t_a),c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
inference(instantiation,[status(thm)],[1357]) ).
cnf(305,plain,
( ~ c_in(X0,X1,X2)
| ~ c_lessequals(X1,X3,tc_set(X2))
| c_in(X0,X3,X2) ),
inference(cnf,[status(esa)],[cls_Set_OsubsetD_0]) ).
cnf(l21,plain,
( ~ c_in(c_Zorn_OHausdorff__1(v_S,t_a),c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(c_Zorn_Omaxchain(v_S,t_a),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(tc_set(t_a))))
| c_in(c_Zorn_OHausdorff__1(v_S,t_a),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(instantiation,[status(thm)],[305]) ).
cnf(1359,plain,
c_lessequals(c_Zorn_Omaxchain(X0,X1),c_Zorn_Ochain(X0,X1),tc_set(tc_set(tc_set(X1)))),
inference(cnf,[status(esa)],[cls_Zorn_Omaxchain__subset__chain_0]) ).
cnf(l23,plain,
c_lessequals(c_Zorn_Omaxchain(v_S,t_a),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(tc_set(t_a)))),
inference(instantiation,[status(thm)],[1359]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l4,l5,l6,l1,l2,l8,l12,l3,l21,l23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET865-1 : TPTP v9.0.0. Released v3.2.0.
% 0.07/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n028.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 22:57:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.36 % launching worker at depth: 5
% 0.12/0.36 % launching worker at depth: 4
% 0.12/0.36 % launching worker at depth: 1
% 0.12/0.36 % launching worker at depth: 3
% 0.12/0.36 % launching worker at depth: 2
% 0.12/0.36 % launching worker at depth: 6
% 0.12/0.36 % launching worker at depth: 7
% 0.12/0.36 % launching worker at depth: 8
% 0.12/0.36 % launching worker at depth: 9
% 0.18/0.54 % launching worker at depth: 10
% 26.92/3.71 % SZS status Theorem for theBenchmark
% 26.92/3.71 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------