%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWV279-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n028.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 : 600s
% DateTime : Wed Jul 20 20:30:50 EDT 2022
% Result : Unsatisfiable 0.92s 1.13s
% Output : CNFRefutation 0.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 29 ( 15 unt; 0 nHn; 22 RR)
% Number of literals : 45 ( 0 equ; 18 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 : 43 ( 11 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) ).
cnf(cls_conjecture_1,negated_conjecture,
( ~ c_in(v_Y,c_Event_Oused(v_H),tc_Message_Omsg)
| ~ c_in(v_X,c_Event_Oused(v_H),tc_Message_Omsg) ) ).
cnf(cls_Message_OMPair__parts_0,axiom,
( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)
| c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
cnf(cls_Message_OMPair__parts_1,axiom,
( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)
| c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
cnf(cls_Message_Oparts_OInj_0,axiom,
( ~ c_in(V_X,V_H,tc_Message_Omsg)
| c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
cnf(cls_Public_Oused__parts__subset__parts_0,axiom,
( ~ c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)
| c_lessequals(c_Message_Oparts(c_insert(V_X,c_emptyset,tc_Message_Omsg)),c_Event_Oused(V_evs),tc_set(tc_Message_Omsg)) ) ).
cnf(cls_Set_Oinsert__iff_1,axiom,
c_in(V_x,c_insert(V_x,V_A,T_a),T_a) ).
cnf(cls_Set_OsubsetD_0,axiom,
( ~ c_in(V_c,V_A,T_a)
| ~ c_lessequals(V_A,V_B,tc_set(T_a))
| c_in(V_c,V_B,T_a) ) ).
cnf(refute_0_0,plain,
c_in(X_4,c_insert(X_4,V_A,tc_Message_Omsg),tc_Message_Omsg),
inference(subst,[],[cls_Set_Oinsert__iff_1:[bind(T_a,$fot(tc_Message_Omsg)),bind(V_x,$fot(X_4))]]) ).
cnf(refute_0_1,plain,
( ~ c_in(X_4,c_insert(X_4,V_A,tc_Message_Omsg),tc_Message_Omsg)
| c_in(X_4,c_Message_Oparts(c_insert(X_4,V_A,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(subst,[],[cls_Message_Oparts_OInj_0:[bind(V_H,$fot(c_insert(X_4,V_A,tc_Message_Omsg))),bind(V_X,$fot(X_4))]]) ).
cnf(refute_0_2,plain,
c_in(X_4,c_Message_Oparts(c_insert(X_4,V_A,tc_Message_Omsg)),tc_Message_Omsg),
inference(resolve,[$cnf( c_in(X_4,c_insert(X_4,V_A,tc_Message_Omsg),tc_Message_Omsg) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
c_in(c_Message_Omsg_OMPair(X_40,X_41),c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(X_40,X_41),V_A,tc_Message_Omsg)),tc_Message_Omsg),
inference(subst,[],[refute_0_2:[bind(X_4,$fot(c_Message_Omsg_OMPair(X_40,X_41)))]]) ).
cnf(refute_0_4,plain,
( ~ c_in(c_Message_Omsg_OMPair(X_40,X_41),c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(X_40,X_41),V_A,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X_41,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(X_40,X_41),V_A,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(subst,[],[cls_Message_OMPair__parts_0:[bind(V_H,$fot(c_insert(c_Message_Omsg_OMPair(X_40,X_41),V_A,tc_Message_Omsg))),bind(V_X,$fot(X_40)),bind(V_Y,$fot(X_41))]]) ).
cnf(refute_0_5,plain,
c_in(X_41,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(X_40,X_41),V_A,tc_Message_Omsg)),tc_Message_Omsg),
inference(resolve,[$cnf( c_in(c_Message_Omsg_OMPair(X_40,X_41),c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(X_40,X_41),V_A,tc_Message_Omsg)),tc_Message_Omsg) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
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(subst,[],[refute_0_5:[bind(V_A,$fot(c_emptyset)),bind(X_40,$fot(v_X)),bind(X_41,$fot(v_Y))]]) ).
cnf(refute_0_7,plain,
( ~ c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Event_Oused(v_H),tc_Message_Omsg)
| c_lessequals(c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X,v_Y),c_emptyset,tc_Message_Omsg)),c_Event_Oused(v_H),tc_set(tc_Message_Omsg)) ),
inference(subst,[],[cls_Public_Oused__parts__subset__parts_0:[bind(V_X,$fot(c_Message_Omsg_OMPair(v_X,v_Y))),bind(V_evs,$fot(v_H))]]) ).
cnf(refute_0_8,plain,
c_lessequals(c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X,v_Y),c_emptyset,tc_Message_Omsg)),c_Event_Oused(v_H),tc_set(tc_Message_Omsg)),
inference(resolve,[$cnf( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Event_Oused(v_H),tc_Message_Omsg) )],[cls_conjecture_0,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ c_in(X_212,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X,v_Y),c_emptyset,tc_Message_Omsg)),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))
| c_in(X_212,c_Event_Oused(v_H),tc_Message_Omsg) ),
inference(subst,[],[cls_Set_OsubsetD_0:[bind(T_a,$fot(tc_Message_Omsg)),bind(V_A,$fot(c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X,v_Y),c_emptyset,tc_Message_Omsg)))),bind(V_B,$fot(c_Event_Oused(v_H))),bind(V_c,$fot(X_212))]]) ).
cnf(refute_0_10,plain,
( ~ c_in(X_212,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X,v_Y),c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X_212,c_Event_Oused(v_H),tc_Message_Omsg) ),
inference(resolve,[$cnf( c_lessequals(c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X,v_Y),c_emptyset,tc_Message_Omsg)),c_Event_Oused(v_H),tc_set(tc_Message_Omsg)) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
( ~ c_in(v_Y,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X,v_Y),c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(v_Y,c_Event_Oused(v_H),tc_Message_Omsg) ),
inference(subst,[],[refute_0_10:[bind(X_212,$fot(v_Y))]]) ).
cnf(refute_0_12,plain,
c_in(v_Y,c_Event_Oused(v_H),tc_Message_Omsg),
inference(resolve,[$cnf( c_in(v_Y,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X,v_Y),c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) )],[refute_0_6,refute_0_11]) ).
cnf(refute_0_13,plain,
~ c_in(v_X,c_Event_Oused(v_H),tc_Message_Omsg),
inference(resolve,[$cnf( c_in(v_Y,c_Event_Oused(v_H),tc_Message_Omsg) )],[refute_0_12,cls_conjecture_1]) ).
cnf(refute_0_14,plain,
c_in(c_Message_Omsg_OMPair(X_43,X_44),c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(X_43,X_44),V_A,tc_Message_Omsg)),tc_Message_Omsg),
inference(subst,[],[refute_0_2:[bind(X_4,$fot(c_Message_Omsg_OMPair(X_43,X_44)))]]) ).
cnf(refute_0_15,plain,
( ~ c_in(c_Message_Omsg_OMPair(X_43,X_44),c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(X_43,X_44),V_A,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X_43,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(X_43,X_44),V_A,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(subst,[],[cls_Message_OMPair__parts_1:[bind(V_H,$fot(c_insert(c_Message_Omsg_OMPair(X_43,X_44),V_A,tc_Message_Omsg))),bind(V_X,$fot(X_43)),bind(V_Y,$fot(X_44))]]) ).
cnf(refute_0_16,plain,
c_in(X_43,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(X_43,X_44),V_A,tc_Message_Omsg)),tc_Message_Omsg),
inference(resolve,[$cnf( c_in(c_Message_Omsg_OMPair(X_43,X_44),c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(X_43,X_44),V_A,tc_Message_Omsg)),tc_Message_Omsg) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
c_in(v_X,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X,v_Y),c_emptyset,tc_Message_Omsg)),tc_Message_Omsg),
inference(subst,[],[refute_0_16:[bind(V_A,$fot(c_emptyset)),bind(X_43,$fot(v_X)),bind(X_44,$fot(v_Y))]]) ).
cnf(refute_0_18,plain,
( ~ 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(subst,[],[refute_0_10:[bind(X_212,$fot(v_X))]]) ).
cnf(refute_0_19,plain,
c_in(v_X,c_Event_Oused(v_H),tc_Message_Omsg),
inference(resolve,[$cnf( 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) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
$false,
inference(resolve,[$cnf( c_in(v_X,c_Event_Oused(v_H),tc_Message_Omsg) )],[refute_0_19,refute_0_13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV279-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 22:31:54 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.92/1.13 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.92/1.13
% 0.92/1.13 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.92/1.13
%------------------------------------------------------------------------------