%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWV279-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 09:03:11 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.40s
% Output : Proof 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 8
% Syntax : Number of clauses : 33 ( 18 unt; 0 nHn; 32 RR)
% Number of literals : 51 ( 0 equ; 20 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 17 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Event_Oused(v_H),tc_Message_Omsg),
file('theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
( ~ c_in(v_X,c_Event_Oused(v_H),tc_Message_Omsg)
| ~ c_in(v_Y,c_Event_Oused(v_H),tc_Message_Omsg) ),
file('theBenchmark.p',cls_conjecture_1) ).
cnf(cls_Message_OMPair__parts_0,axiom,
( c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) ),
file('theBenchmark.p',cls_Message_OMPair__parts_0) ).
cnf(cls_Message_OMPair__parts_1,axiom,
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) ),
file('theBenchmark.p',cls_Message_OMPair__parts_1) ).
cnf(cls_Message_Oparts_OInj_0,axiom,
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(V_X,V_H,tc_Message_Omsg) ),
file('theBenchmark.p',cls_Message_Oparts_OInj_0) ).
cnf(cls_Public_Oused__parts__subset__parts_0,axiom,
( c_lessequals(c_Message_Oparts(c_insert(V_X,c_emptyset,tc_Message_Omsg)),c_Event_Oused(V_evs),tc_set(tc_Message_Omsg))
| ~ c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg) ),
file('theBenchmark.p',cls_Public_Oused__parts__subset__parts_0) ).
cnf(cls_Set_Oinsert__iff_1,axiom,
c_in(V_x,c_insert(V_x,V_A,T_a),T_a),
file('theBenchmark.p',cls_Set_Oinsert__iff_1) ).
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(t1,plain,
( ~ c_in(v_X,c_Event_Oused(v_H),tc_Message_Omsg)
| ~ c_in(v_Y,c_Event_Oused(v_H),tc_Message_Omsg) ),
inference(start,[status(thm),parent(0:0)],[cls_conjecture_1]) ).
cnf(t2,plain,
( ~ c_lessequals(c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X,v_Y),c_emptyset,tc_Message_Omsg)),c_Event_Oused(v_H),tc_set(tc_Message_Omsg))
| ~ c_in(v_Y,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X,v_Y),c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(v_Y,c_Event_Oused(v_H),tc_Message_Omsg) ),
inference(extension,[status(thm),parent(t1:1)],[cls_Set_OsubsetD_0]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X,v_Y),c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(v_Y,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X,v_Y),c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(extension,[status(thm),parent(t2:2)],[cls_Message_OMPair__parts_0]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_insert(c_Message_Omsg_OMPair(v_X,v_Y),c_emptyset,tc_Message_Omsg),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X,v_Y),c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(extension,[status(thm),parent(t4:2)],[cls_Message_Oparts_OInj_0]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_insert(c_Message_Omsg_OMPair(v_X,v_Y),c_emptyset,tc_Message_Omsg),tc_Message_Omsg),
inference(extension,[status(thm),parent(t6:2)],[cls_Set_Oinsert__iff_1]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( ~ c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Event_Oused(v_H),tc_Message_Omsg)
| c_lessequals(c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X,v_Y),c_emptyset,tc_Message_Omsg)),c_Event_Oused(v_H),tc_set(tc_Message_Omsg)) ),
inference(extension,[status(thm),parent(t2:3)],[cls_Public_Oused__parts__subset__parts_0]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t2:3]) ).
cnf(t12,plain,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Event_Oused(v_H),tc_Message_Omsg),
inference(extension,[status(thm),parent(t10:2)],[cls_conjecture_0]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
( ~ c_lessequals(c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X,v_Y),c_emptyset,tc_Message_Omsg)),c_Event_Oused(v_H),tc_set(tc_Message_Omsg))
| ~ c_in(v_X,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X,v_Y),c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(v_X,c_Event_Oused(v_H),tc_Message_Omsg) ),
inference(extension,[status(thm),parent(t1:2)],[cls_Set_OsubsetD_0]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t1:2]) ).
cnf(t16,plain,
( ~ c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X,v_Y),c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(v_X,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X,v_Y),c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(extension,[status(thm),parent(t14:2)],[cls_Message_OMPair__parts_1]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).
cnf(t18,plain,
( ~ c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_insert(c_Message_Omsg_OMPair(v_X,v_Y),c_emptyset,tc_Message_Omsg),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X,v_Y),c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(extension,[status(thm),parent(t16:2)],[cls_Message_Oparts_OInj_0]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_insert(c_Message_Omsg_OMPair(v_X,v_Y),c_emptyset,tc_Message_Omsg),tc_Message_Omsg),
inference(extension,[status(thm),parent(t18:2)],[cls_Set_Oinsert__iff_1]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,plain,
( ~ c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Event_Oused(v_H),tc_Message_Omsg)
| c_lessequals(c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X,v_Y),c_emptyset,tc_Message_Omsg)),c_Event_Oused(v_H),tc_set(tc_Message_Omsg)) ),
inference(extension,[status(thm),parent(t14:3)],[cls_Public_Oused__parts__subset__parts_0]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t14:3]) ).
cnf(t24,plain,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Event_Oused(v_H),tc_Message_Omsg),
inference(extension,[status(thm),parent(t22:2)],[cls_conjecture_0]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV279-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n020.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 20 03:17:18 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.40 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------