%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SET865-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 08:57:42 AM UTC 2026
% Result : Unsatisfiable 0.11s 0.44s
% Output : Proof 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 8
% Syntax : Number of clauses : 41 ( 25 unt; 0 nHn; 39 RR)
% Number of literals : 65 ( 4 equ; 26 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
( ~ c_in(V_U,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Union(V_U,t_a),v_S,tc_set(t_a)) ),
file('theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
( ~ c_in(V_U,v_S,tc_set(t_a))
| c_in(v_x(V_U),v_S,tc_set(t_a)) ),
file('theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
( ~ c_in(V_U,v_S,tc_set(t_a))
| c_lessequals(V_U,v_x(V_U),tc_set(t_a)) ),
file('theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_3,negated_conjecture,
( ~ c_in(V_U,v_S,tc_set(t_a))
| V_U != v_x(V_U) ),
file('theBenchmark.p',cls_conjecture_3) ).
cnf(cls_Set_OsubsetD_0,axiom,
( c_in(V_c,V_B,T_a)
| ~ c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_in(V_c,V_A,T_a) ),
file('theBenchmark.p',cls_Set_OsubsetD_0) ).
cnf(cls_Zorn_OHausdorff_0,axiom,
c_in(c_Zorn_OHausdorff__1(V_S,T_a),c_Zorn_Omaxchain(V_S,T_a),tc_set(tc_set(T_a))),
file('theBenchmark.p',cls_Zorn_OHausdorff_0) ).
cnf(cls_Zorn_Omaxchain__Zorn_0,axiom,
( c_Union(V_c,T_a) = V_u
| ~ c_lessequals(c_Union(V_c,T_a),V_u,tc_set(T_a))
| ~ c_in(V_c,c_Zorn_Omaxchain(V_S,T_a),tc_set(tc_set(T_a)))
| ~ c_in(V_u,V_S,tc_set(T_a)) ),
file('theBenchmark.p',cls_Zorn_Omaxchain__Zorn_0) ).
cnf(cls_Zorn_Omaxchain__subset__chain_0,axiom,
c_lessequals(c_Zorn_Omaxchain(V_S,T_a),c_Zorn_Ochain(V_S,T_a),tc_set(tc_set(tc_set(T_a)))),
file('theBenchmark.p',cls_Zorn_Omaxchain__subset__chain_0) ).
cnf(t1,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(start,[status(thm),parent(0:0)],[cls_conjecture_3]) ).
cnf(t2,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_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_in(v_x(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(extension,[status(thm),parent(t1:1)],[cls_Zorn_Omaxchain__Zorn_0]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,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(extension,[status(thm),parent(t2:2)],[cls_conjecture_1]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,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(extension,[status(thm),parent(t4:2)],[cls_conjecture_0]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,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))))
| ~ 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(extension,[status(thm),parent(t6:2)],[cls_Set_OsubsetD_0]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,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(extension,[status(thm),parent(t8:2)],[cls_Zorn_OHausdorff_0]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,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(extension,[status(thm),parent(t8:3)],[cls_Zorn_Omaxchain__subset__chain_0]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t8:3]) ).
cnf(t14,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(extension,[status(thm),parent(t2:3)],[cls_conjecture_2]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t2:3]) ).
cnf(t16,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(extension,[status(thm),parent(t14:2)],[cls_conjecture_0]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).
cnf(t18,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))))
| ~ 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(extension,[status(thm),parent(t16:2)],[cls_Set_OsubsetD_0]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,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(extension,[status(thm),parent(t18:2)],[cls_Zorn_OHausdorff_0]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,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(extension,[status(thm),parent(t18:3)],[cls_Zorn_Omaxchain__subset__chain_0]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t18:3]) ).
cnf(t24,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(extension,[status(thm),parent(t2:4)],[cls_Zorn_OHausdorff_0]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t2:4]) ).
cnf(t26,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(extension,[status(thm),parent(t1:2)],[cls_conjecture_0]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t1:2]) ).
cnf(t28,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))))
| ~ 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(extension,[status(thm),parent(t26:2)],[cls_Set_OsubsetD_0]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t26:2]) ).
cnf(t30,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(extension,[status(thm),parent(t28:2)],[cls_Zorn_OHausdorff_0]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t28:2]) ).
cnf(t32,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(extension,[status(thm),parent(t28:3)],[cls_Zorn_Omaxchain__subset__chain_0]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t28:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET865-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n005.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sat Sep 19 23:06:04 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.44 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------