%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWV250-2 : 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 : n018.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 09:03:05 AM UTC 2026
% Result : Unsatisfiable 7.34s 12.60s
% Output : Proof 7.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 9
% Syntax : Number of clauses : 40 ( 29 unt; 3 nHn; 35 RR)
% Number of literals : 63 ( 18 equ; 22 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 23 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_2,negated_conjecture,
c_in(v_x,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_Message_Omsg),
file('theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_3,negated_conjecture,
~ c_in(v_x,c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
file('theBenchmark.p',cls_conjecture_3) ).
cnf(cls_Message_Oanalz__analz__Un_0,axiom,
c_Message_Oanalz(c_union(c_Message_Oanalz(V_G),V_H,tc_Message_Omsg)) = c_Message_Oanalz(c_union(V_G,V_H,tc_Message_Omsg)),
file('theBenchmark.p',cls_Message_Oanalz__analz__Un_0) ).
cnf(cls_Message_Oanalz__synth__Un_0,axiom,
c_Message_Oanalz(c_union(c_Message_Osynth(V_G),V_H,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(V_G,V_H,tc_Message_Omsg)),c_Message_Osynth(V_G),tc_Message_Omsg),
file('theBenchmark.p',cls_Message_Oanalz__synth__Un_0) ).
cnf(cls_Set_OUn__iff_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_OUn__iff_0) ).
cnf(cls_Set_OUn__iff_1,axiom,
( c_in(V_c,c_union(V_A,V_B,T_a),T_a)
| ~ c_in(V_c,V_A,T_a) ),
file('theBenchmark.p',cls_Set_OUn__iff_1) ).
cnf(cls_Set_OUn__iff_2,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_OUn__iff_2) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_7,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(t1,plain,
~ c_in(v_x,c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
inference(start,[status(thm),parent(0:0)],[cls_conjecture_3]) ).
cnf(t2,plain,
( ~ c_in(v_x,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(v_x,c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) ),
inference(extension,[status(thm),parent(t1:1)],[cls_Set_OUn__iff_2]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( c_in(v_x,c_union(c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(v_x,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_union(c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)
| c_in(v_x,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(extension,[status(thm),parent(t2:2)],[cls_Set_OUn__iff_0]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ c_in(v_x,c_union(c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),tc_Message_Omsg)
| c_in(v_x,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_union(c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg) ),
inference(extension,[status(thm),parent(t4:2)],[cls_Set_OUn__iff_2]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)) != c_union(c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg)
| tc_Message_Omsg != tc_Message_Omsg
| ~ c_in(v_x,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_Message_Omsg)
| v_x != v_x
| c_in(v_x,c_union(c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),tc_Message_Omsg) ),
inference(extension,[status(thm),parent(t6:2)],[equality_7]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
v_x = v_x,
inference(extension,[status(thm),parent(t8:2)],[equality_1]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
c_in(v_x,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(extension,[status(thm),parent(t8:3)],[cls_conjecture_2]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t8:3]) ).
cnf(t14,plain,
tc_Message_Omsg = tc_Message_Omsg,
inference(extension,[status(thm),parent(t8:4)],[equality_1]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t8:4]) ).
cnf(t16,plain,
c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),
inference(extension,[status(thm),parent(t8:5)],[cls_Message_Oanalz__synth__Un_0]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t8:5]) ).
cnf(t18,plain,
( c_in(v_x,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg)
| c_in(v_x,c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(v_x,c_union(c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),tc_Message_Omsg) ),
inference(extension,[status(thm),parent(t4:3)],[cls_Set_OUn__iff_0]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t4:3]) ).
cnf(t20,plain,
( c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)) != c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg))
| tc_Message_Omsg != tc_Message_Omsg
| c_in(v_x,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| v_x != v_x
| ~ c_in(v_x,c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(extension,[status(thm),parent(t18:2)],[equality_7]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,plain,
v_x = v_x,
inference(extension,[status(thm),parent(t20:2)],[equality_1]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).
cnf(t24,plain,
$false,
inference(reduction,[status(thm),parent(t20:3)],[t20:3,t2:2]) ).
cnf(t25,plain,
tc_Message_Omsg = tc_Message_Omsg,
inference(extension,[status(thm),parent(t20:4)],[equality_1]) ).
cnf(t26,plain,
$false,
inference(connection,[status(thm),parent(t25:1)],[t25:1,t20:4]) ).
cnf(t27,plain,
c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)) = c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),
inference(extension,[status(thm),parent(t20:5)],[cls_Message_Oanalz__analz__Un_0]) ).
cnf(t28,plain,
$false,
inference(connection,[status(thm),parent(t27:1)],[t27:1,t20:5]) ).
cnf(t29,plain,
( c_in(v_x,c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(v_x,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg) ),
inference(extension,[status(thm),parent(t18:3)],[cls_Set_OUn__iff_1]) ).
cnf(t30,plain,
$false,
inference(connection,[status(thm),parent(t29:1)],[t29:1,t18:3]) ).
cnf(t31,plain,
$false,
inference(reduction,[status(thm),parent(t29:2)],[t29:2,t1:1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV250-2 : 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
% 0.09/5.38 % Computer : n018.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/5.38 % CPULimit : 300
% 0.09/5.38 % WCLimit : 300
% 0.09/5.38 % DateTime : Sun Sep 20 03:14:49 UTC 2026
% 0.09/5.38 % CPUTime :
% 7.34/12.60 % SZS status Unsatisfiable for theBenchmark
% 7.34/12.60 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------