%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SET860-2 : 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 : n016.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 08:57:41 AM UTC 2026
% Result : Unsatisfiable 222.26s 222.50s
% Output : Proof 224.57s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
~ c_lessequals(c_Union(v_C,t_a),v_A,tc_set(t_a)),
file('theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_lessequals(v_B,c_Union(v_C,t_a),tc_set(t_a)),
file('theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
( ~ c_in(V_U,v_C,tc_set(t_a))
| c_lessequals(V_U,v_A,tc_set(t_a))
| c_lessequals(v_B,V_U,tc_set(t_a)) ),
file('theBenchmark.p',cls_conjecture_2) ).
cnf(cls_Set_OComplD__dest_0,axiom,
( ~ c_in(V_c,c_uminus(V_A,tc_set(T_a)),T_a)
| ~ c_in(V_c,V_A,T_a) ),
file('theBenchmark.p',cls_Set_OComplD__dest_0) ).
cnf(cls_Set_OComplI_0,axiom,
( c_in(V_c,c_uminus(V_A,tc_set(T_a)),T_a)
| c_in(V_c,V_A,T_a) ),
file('theBenchmark.p',cls_Set_OComplI_0) ).
cnf(cls_Set_OCompl__subset__Compl__iff__iff1_0,axiom,
( c_lessequals(V_B,V_A,tc_set(T_a))
| ~ c_lessequals(c_uminus(V_A,tc_set(T_a)),c_uminus(V_B,tc_set(T_a)),tc_set(T_a)) ),
file('theBenchmark.p',cls_Set_OCompl__subset__Compl__iff__iff1_0) ).
cnf(cls_Set_OCompl__subset__Compl__iff__iff2_0,axiom,
( c_lessequals(c_uminus(V_A,tc_set(T_a)),c_uminus(V_B,tc_set(T_a)),tc_set(T_a))
| ~ c_lessequals(V_B,V_A,tc_set(T_a)) ),
file('theBenchmark.p',cls_Set_OCompl__subset__Compl__iff__iff2_0) ).
cnf(cls_Set_OIntE_0,axiom,
( c_in(V_c,V_B,T_a)
| ~ c_in(V_c,c_inter(V_A,V_B,T_a),T_a) ),
file('theBenchmark.p',cls_Set_OIntE_0) ).
cnf(cls_Set_OIntE_1,axiom,
( c_in(V_c,V_A,T_a)
| ~ c_in(V_c,c_inter(V_A,V_B,T_a),T_a) ),
file('theBenchmark.p',cls_Set_OIntE_1) ).
cnf(cls_Set_OIntI_0,axiom,
( c_in(V_c,c_inter(V_A,V_B,T_a),T_a)
| ~ c_in(V_c,V_A,T_a)
| ~ c_in(V_c,V_B,T_a) ),
file('theBenchmark.p',cls_Set_OIntI_0) ).
cnf(cls_Set_OUNIV__I_0,axiom,
c_in(V_x,c_UNIV,T_a),
file('theBenchmark.p',cls_Set_OUNIV__I_0) ).
cnf(cls_Set_OUnCI_0,axiom,
( c_in(V_c,c_union(V_A,V_B,T_a),T_a)
| ~ c_in(V_c,V_B,T_a) ),
file('theBenchmark.p',cls_Set_OUnCI_0) ).
cnf(cls_Set_OUnE_0,axiom,
( c_in(V_c,V_A,T_a)
| c_in(V_c,V_B,T_a)
| ~ c_in(V_c,c_union(V_A,V_B,T_a),T_a) ),
file('theBenchmark.p',cls_Set_OUnE_0) ).
cnf(cls_Set_OUnionE_0,axiom,
( c_in(c_Main_OUnionE__1(V_A,V_C,T_a),V_C,tc_set(T_a))
| ~ c_in(V_A,c_Union(V_C,T_a),T_a) ),
file('theBenchmark.p',cls_Set_OUnionE_0) ).
cnf(cls_Set_OUnionE_1,axiom,
( c_in(V_A,c_Main_OUnionE__1(V_A,V_C,T_a),T_a)
| ~ c_in(V_A,c_Union(V_C,T_a),T_a) ),
file('theBenchmark.p',cls_Set_OUnionE_1) ).
cnf(cls_Set_OUnionI_0,axiom,
( c_in(V_A,c_Union(V_C,T_a),T_a)
| ~ c_in(V_X,V_C,tc_set(T_a))
| ~ c_in(V_A,V_X,T_a) ),
file('theBenchmark.p',cls_Set_OUnionI_0) ).
cnf(cls_Set_OemptyE_0,axiom,
~ c_in(V_a,c_emptyset,T_a),
file('theBenchmark.p',cls_Set_OemptyE_0) ).
cnf(cls_Set_OinsertCI_0,axiom,
( c_in(V_a,c_insert(V_b,V_B,T_a),T_a)
| ~ c_in(V_a,V_B,T_a) ),
file('theBenchmark.p',cls_Set_OinsertCI_0) ).
cnf(cls_Set_OinsertCI_1,axiom,
c_in(V_x,c_insert(V_x,V_B,T_a),T_a),
file('theBenchmark.p',cls_Set_OinsertCI_1) ).
cnf(cls_Set_OinsertE_0,axiom,
( V_a = V_b
| c_in(V_a,V_A,T_a)
| ~ c_in(V_a,c_insert(V_b,V_A,T_a),T_a) ),
file('theBenchmark.p',cls_Set_OinsertE_0) ).
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_Set_OsubsetI_0,axiom,
( c_lessequals(V_A,V_B,tc_set(T_a))
| c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_A,T_a) ),
file('theBenchmark.p',cls_Set_OsubsetI_0) ).
cnf(cls_Set_OsubsetI_1,axiom,
( c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_B,T_a) ),
file('theBenchmark.p',cls_Set_OsubsetI_1) ).
cnf(cls_Set_Osubset__antisym_0,axiom,
( V_A = V_B
| ~ c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_lessequals(V_B,V_A,tc_set(T_a)) ),
file('theBenchmark.p',cls_Set_Osubset__antisym_0) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(equality_3,axiom,
( Eq_x_0 = Eq_x_2
| Eq_x_1 != Eq_x_2
| Eq_x_0 != Eq_x_1 ),
theory(equality,[transitivity]) ).
cnf(equality_4,axiom,
( c_Union(Eq_x_0,Eq_x_1) = c_Union(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_5,axiom,
( tc_set(Eq_x_0) = tc_set(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_6,axiom,
( c_uminus(Eq_x_0,Eq_x_1) = c_uminus(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_7,axiom,
( c_inter(Eq_x_0,Eq_x_1,Eq_x_2) = c_inter(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_8,axiom,
( c_union(Eq_x_0,Eq_x_1,Eq_x_2) = c_union(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_9,axiom,
( c_Main_OUnionE__1(Eq_x_0,Eq_x_1,Eq_x_2) = c_Main_OUnionE__1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_10,axiom,
( c_insert(Eq_x_0,Eq_x_1,Eq_x_2) = c_insert(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_11,axiom,
( c_Main_OsubsetI__1(Eq_x_0,Eq_x_1,Eq_x_2) = c_Main_OsubsetI__1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_12,axiom,
( c_lessequals(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ c_lessequals(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_13,axiom,
( c_in(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ c_in(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET860-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 This is a CNF_UNS_RFO_SEQ_NHN 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
% 0.09/0.35 % Computer : n016.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 19 23:09:38 UTC 2026
% 0.13/0.36 % CPUTime :
% 222.26/222.50 % SZS status Unsatisfiable for theBenchmark
% 222.26/222.50 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------