%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET864-1 : 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 : n021.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 10.68s 1.68s
% Output : CNFRefutation 10.68s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named cls_conjecture_0)
% Comments :
%------------------------------------------------------------------------------
cnf(1360,plain,
c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
inference(cnf,[status(esa)],[cls_conjecture_0]) ).
cnf(l0,plain,
c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
inference(instantiation,[status(thm)],[1360]) ).
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(l1,plain,
( ~ c_in(v_x(c_Union(v_c,t_a)),v_S,tc_set(t_a))
| ~ c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(c_Union(v_c,t_a),v_x(c_Union(v_c,t_a)),tc_set(t_a))
| c_Union(v_c,t_a) = v_x(c_Union(v_c,t_a)) ),
inference(instantiation,[status(thm)],[1358]) ).
cnf(1364,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_4]) ).
cnf(l2,plain,
( ~ c_in(c_Union(v_c,t_a),v_S,tc_set(t_a))
| c_lessequals(c_Union(v_c,t_a),v_x(c_Union(v_c,t_a)),tc_set(t_a)) ),
inference(instantiation,[status(thm)],[1364]) ).
cnf(1363,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_3]) ).
cnf(l20,plain,
( ~ c_in(c_Union(v_c,t_a),v_S,tc_set(t_a))
| c_in(v_x(c_Union(v_c,t_a)),v_S,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[1363]) ).
cnf(1362,plain,
c_in(c_Union(v_c,t_a),v_S,tc_set(t_a)),
inference(cnf,[status(esa)],[cls_conjecture_2]) ).
cnf(l21,plain,
c_in(c_Union(v_c,t_a),v_S,tc_set(t_a)),
inference(instantiation,[status(thm)],[1362]) ).
cnf(l3,plain,
c_in(c_Union(v_c,t_a),v_S,tc_set(t_a)),
inference(instantiation,[status(thm)],[1362]) ).
cnf(1365,plain,
( ~ c_in(X0,v_S,tc_set(t_a))
| X0 != v_x(X0) ),
inference(cnf,[status(esa)],[cls_conjecture_5]) ).
cnf(l14,plain,
( ~ c_in(c_Union(v_c,t_a),v_S,tc_set(t_a))
| c_Union(v_c,t_a) != v_x(c_Union(v_c,t_a)) ),
inference(instantiation,[status(thm)],[1365]) ).
cnf(l26,plain,
c_in(c_Union(v_c,t_a),v_S,tc_set(t_a)),
inference(instantiation,[status(thm)],[1362]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l20,l21,l3,l14,l26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : SET864-1 : TPTP v9.0.0. Released v3.2.0.
% 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n021.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 22:57:04 EDT 2025
% 0.18/0.33 % CPUTime :
% 0.18/0.36 % launching worker at depth: 3
% 0.18/0.36 % launching worker at depth: 1
% 0.18/0.36 % launching worker at depth: 2
% 0.18/0.36 % launching worker at depth: 4
% 0.18/0.36 % launching worker at depth: 5
% 0.18/0.36 % launching worker at depth: 6
% 0.18/0.36 % launching worker at depth: 7
% 0.18/0.36 % launching worker at depth: 8
% 0.18/0.37 % launching worker at depth: 9
% 1.92/0.60 % launching worker at depth: 10
% 10.68/1.68 % SZS status Theorem for theBenchmark
% 10.68/1.68 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------