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Metis---2.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SWV261-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n023.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 20:30:44 EDT 2022

% Result   : Unsatisfiable 146.74s 146.89s
% Output   : CNFRefutation 146.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   42 (  10 unt;  14 nHn;  25 RR)
%            Number of literals    :   83 (  14 equ;  24 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-3 aty)
%            Number of variables   :   90 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
    c_in(v_X,v_G,tc_Message_Omsg) ).

cnf(cls_conjecture_1,negated_conjecture,
    ~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ).

cnf(cls_Message_Oparts__Un__subset2_0,axiom,
    c_lessequals(c_Message_Oparts(c_union(V_G,V_H,tc_Message_Omsg)),c_union(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ).

cnf(cls_Message_Oparts__mono_0,axiom,
    ( ~ c_lessequals(V_G,V_H,tc_set(tc_Message_Omsg))
    | c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_set(tc_Message_Omsg)) ) ).

cnf(cls_Set_OUnCI_0,axiom,
    ( ~ c_in(V_c,V_B,T_a)
    | c_in(V_c,c_union(V_A,V_B,T_a),T_a) ) ).

cnf(cls_Set_OUnCI_1,axiom,
    ( ~ c_in(V_c,V_A,T_a)
    | c_in(V_c,c_union(V_A,V_B,T_a),T_a) ) ).

cnf(cls_Set_OinsertE_0,axiom,
    ( ~ c_in(V_a,c_insert(V_b,V_A,T_a),T_a)
    | c_in(V_a,V_A,T_a)
    | V_a = V_b ) ).

cnf(cls_Set_OsubsetI_0,axiom,
    ( c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_A,T_a)
    | c_lessequals(V_A,V_B,tc_set(T_a)) ) ).

cnf(cls_Set_OsubsetI_1,axiom,
    ( ~ c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_B,T_a)
    | c_lessequals(V_A,V_B,tc_set(T_a)) ) ).

cnf(cls_Set_Osubset__trans_0,axiom,
    ( ~ c_lessequals(V_B,V_C,tc_set(T_a))
    | ~ c_lessequals(V_A,V_B,tc_set(T_a))
    | c_lessequals(V_A,V_C,tc_set(T_a)) ) ).

cnf(refute_0_0,plain,
    ( ~ c_lessequals(X_474,c_Message_Oparts(c_union(V_G,V_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(c_Message_Oparts(c_union(V_G,V_H,tc_Message_Omsg)),c_union(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_Message_Omsg),tc_set(tc_Message_Omsg))
    | c_lessequals(X_474,c_union(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
    inference(subst,[],[cls_Set_Osubset__trans_0:[bind(T_a,$fot(tc_Message_Omsg)),bind(V_A,$fot(X_474)),bind(V_B,$fot(c_Message_Oparts(c_union(V_G,V_H,tc_Message_Omsg)))),bind(V_C,$fot(c_union(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_Message_Omsg)))]]) ).

cnf(refute_0_1,plain,
    ( ~ c_lessequals(X_474,c_Message_Oparts(c_union(V_G,V_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | c_lessequals(X_474,c_union(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
    inference(resolve,[$cnf( c_lessequals(c_Message_Oparts(c_union(V_G,V_H,tc_Message_Omsg)),c_union(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )],[cls_Message_Oparts__Un__subset2_0,refute_0_0]) ).

cnf(refute_0_2,plain,
    ( ~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
    inference(subst,[],[refute_0_1:[bind(V_G,$fot(v_G)),bind(V_H,$fot(v_H)),bind(X_474,$fot(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg))))]]) ).

cnf(refute_0_3,plain,
    ( ~ c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
    | c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
    inference(subst,[],[cls_Message_Oparts__mono_0:[bind(V_G,$fot(c_insert(v_X,v_H,tc_Message_Omsg))),bind(V_H,$fot(c_union(v_G,v_H,tc_Message_Omsg)))]]) ).

cnf(refute_0_4,plain,
    ( ~ c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)
    | c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
    inference(subst,[],[cls_Set_OsubsetI_1:[bind(T_a,$fot(tc_Message_Omsg)),bind(V_A,$fot(c_insert(v_X,v_H,tc_Message_Omsg))),bind(V_B,$fot(c_union(v_G,v_H,tc_Message_Omsg)))]]) ).

cnf(refute_0_5,plain,
    ( ~ c_lessequals(c_Message_Oparts(c_insert(X_45687,X_45686,tc_Message_Omsg)),c_Message_Oparts(c_union(X_45685,X_45686,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | c_lessequals(c_Message_Oparts(c_insert(X_45687,X_45686,tc_Message_Omsg)),c_union(c_Message_Oparts(X_45685),c_Message_Oparts(X_45686),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
    inference(subst,[],[refute_0_1:[bind(V_G,$fot(X_45685)),bind(V_H,$fot(X_45686)),bind(X_474,$fot(c_Message_Oparts(c_insert(X_45687,X_45686,tc_Message_Omsg))))]]) ).

cnf(refute_0_6,plain,
    ( ~ c_lessequals(c_insert(X_45684,X_45683,tc_Message_Omsg),c_union(X_45681,X_45683,tc_Message_Omsg),tc_set(tc_Message_Omsg))
    | c_lessequals(c_Message_Oparts(c_insert(X_45684,X_45683,tc_Message_Omsg)),c_Message_Oparts(c_union(X_45681,X_45683,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
    inference(subst,[],[cls_Message_Oparts__mono_0:[bind(V_G,$fot(c_insert(X_45684,X_45683,tc_Message_Omsg))),bind(V_H,$fot(c_union(X_45681,X_45683,tc_Message_Omsg)))]]) ).

cnf(refute_0_7,plain,
    ( ~ c_in(c_Main_OsubsetI__1(c_insert(X_45680,X_45679,X_45678),c_union(X_45676,X_45679,X_45678),X_45678),c_union(X_45676,X_45679,X_45678),X_45678)
    | c_lessequals(c_insert(X_45680,X_45679,X_45678),c_union(X_45676,X_45679,X_45678),tc_set(X_45678)) ),
    inference(subst,[],[cls_Set_OsubsetI_1:[bind(T_a,$fot(X_45678)),bind(V_A,$fot(c_insert(X_45680,X_45679,X_45678))),bind(V_B,$fot(c_union(X_45676,X_45679,X_45678)))]]) ).

cnf(refute_0_8,plain,
    ( ~ c_in(c_Main_OsubsetI__1(c_insert(X_3263,X_3262,X_3261),X_3260,X_3261),X_3262,X_3261)
    | c_in(c_Main_OsubsetI__1(c_insert(X_3263,X_3262,X_3261),X_3260,X_3261),c_union(V_A,X_3262,X_3261),X_3261) ),
    inference(subst,[],[cls_Set_OUnCI_0:[bind(T_a,$fot(X_3261)),bind(V_B,$fot(X_3262)),bind(V_c,$fot(c_Main_OsubsetI__1(c_insert(X_3263,X_3262,X_3261),X_3260,X_3261)))]]) ).

cnf(refute_0_9,plain,
    ( c_in(c_Main_OsubsetI__1(c_insert(X_368,X_366,X_365),V_B,X_365),c_insert(X_368,X_366,X_365),X_365)
    | c_lessequals(c_insert(X_368,X_366,X_365),V_B,tc_set(X_365)) ),
    inference(subst,[],[cls_Set_OsubsetI_0:[bind(T_a,$fot(X_365)),bind(V_A,$fot(c_insert(X_368,X_366,X_365)))]]) ).

cnf(refute_0_10,plain,
    ( ~ c_in(c_Main_OsubsetI__1(c_insert(X_368,X_366,X_365),V_B,X_365),c_insert(X_368,X_366,X_365),X_365)
    | c_Main_OsubsetI__1(c_insert(X_368,X_366,X_365),V_B,X_365) = X_368
    | c_in(c_Main_OsubsetI__1(c_insert(X_368,X_366,X_365),V_B,X_365),X_366,X_365) ),
    inference(subst,[],[cls_Set_OinsertE_0:[bind(T_a,$fot(X_365)),bind(V_A,$fot(X_366)),bind(V_a,$fot(c_Main_OsubsetI__1(c_insert(X_368,X_366,X_365),V_B,X_365))),bind(V_b,$fot(X_368))]]) ).

cnf(refute_0_11,plain,
    ( c_Main_OsubsetI__1(c_insert(X_368,X_366,X_365),V_B,X_365) = X_368
    | c_in(c_Main_OsubsetI__1(c_insert(X_368,X_366,X_365),V_B,X_365),X_366,X_365)
    | c_lessequals(c_insert(X_368,X_366,X_365),V_B,tc_set(X_365)) ),
    inference(resolve,[$cnf( c_in(c_Main_OsubsetI__1(c_insert(X_368,X_366,X_365),V_B,X_365),c_insert(X_368,X_366,X_365),X_365) )],[refute_0_9,refute_0_10]) ).

cnf(refute_0_12,plain,
    ( c_Main_OsubsetI__1(c_insert(X_3263,X_3262,X_3261),X_3260,X_3261) = X_3263
    | c_in(c_Main_OsubsetI__1(c_insert(X_3263,X_3262,X_3261),X_3260,X_3261),X_3262,X_3261)
    | c_lessequals(c_insert(X_3263,X_3262,X_3261),X_3260,tc_set(X_3261)) ),
    inference(subst,[],[refute_0_11:[bind(V_B,$fot(X_3260)),bind(X_365,$fot(X_3261)),bind(X_366,$fot(X_3262)),bind(X_368,$fot(X_3263))]]) ).

cnf(refute_0_13,plain,
    ( c_Main_OsubsetI__1(c_insert(X_3263,X_3262,X_3261),X_3260,X_3261) = X_3263
    | c_in(c_Main_OsubsetI__1(c_insert(X_3263,X_3262,X_3261),X_3260,X_3261),c_union(V_A,X_3262,X_3261),X_3261)
    | c_lessequals(c_insert(X_3263,X_3262,X_3261),X_3260,tc_set(X_3261)) ),
    inference(resolve,[$cnf( c_in(c_Main_OsubsetI__1(c_insert(X_3263,X_3262,X_3261),X_3260,X_3261),X_3262,X_3261) )],[refute_0_12,refute_0_8]) ).

cnf(refute_0_14,plain,
    ( c_Main_OsubsetI__1(c_insert(X_45680,X_45679,X_45678),c_union(X_45676,X_45679,X_45678),X_45678) = X_45680
    | c_in(c_Main_OsubsetI__1(c_insert(X_45680,X_45679,X_45678),c_union(X_45676,X_45679,X_45678),X_45678),c_union(X_45676,X_45679,X_45678),X_45678)
    | c_lessequals(c_insert(X_45680,X_45679,X_45678),c_union(X_45676,X_45679,X_45678),tc_set(X_45678)) ),
    inference(subst,[],[refute_0_13:[bind(V_A,$fot(X_45676)),bind(X_3260,$fot(c_union(X_45676,X_45679,X_45678))),bind(X_3261,$fot(X_45678)),bind(X_3262,$fot(X_45679)),bind(X_3263,$fot(X_45680))]]) ).

cnf(refute_0_15,plain,
    ( c_Main_OsubsetI__1(c_insert(X_45680,X_45679,X_45678),c_union(X_45676,X_45679,X_45678),X_45678) = X_45680
    | c_lessequals(c_insert(X_45680,X_45679,X_45678),c_union(X_45676,X_45679,X_45678),tc_set(X_45678)) ),
    inference(resolve,[$cnf( c_in(c_Main_OsubsetI__1(c_insert(X_45680,X_45679,X_45678),c_union(X_45676,X_45679,X_45678),X_45678),c_union(X_45676,X_45679,X_45678),X_45678) )],[refute_0_14,refute_0_7]) ).

cnf(refute_0_16,plain,
    ( c_Main_OsubsetI__1(c_insert(X_45684,X_45683,tc_Message_Omsg),c_union(X_45681,X_45683,tc_Message_Omsg),tc_Message_Omsg) = X_45684
    | c_lessequals(c_insert(X_45684,X_45683,tc_Message_Omsg),c_union(X_45681,X_45683,tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
    inference(subst,[],[refute_0_15:[bind(X_45676,$fot(X_45681)),bind(X_45678,$fot(tc_Message_Omsg)),bind(X_45679,$fot(X_45683)),bind(X_45680,$fot(X_45684))]]) ).

cnf(refute_0_17,plain,
    ( c_Main_OsubsetI__1(c_insert(X_45684,X_45683,tc_Message_Omsg),c_union(X_45681,X_45683,tc_Message_Omsg),tc_Message_Omsg) = X_45684
    | c_lessequals(c_Message_Oparts(c_insert(X_45684,X_45683,tc_Message_Omsg)),c_Message_Oparts(c_union(X_45681,X_45683,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
    inference(resolve,[$cnf( c_lessequals(c_insert(X_45684,X_45683,tc_Message_Omsg),c_union(X_45681,X_45683,tc_Message_Omsg),tc_set(tc_Message_Omsg)) )],[refute_0_16,refute_0_6]) ).

cnf(refute_0_18,plain,
    ( c_Main_OsubsetI__1(c_insert(X_45687,X_45686,tc_Message_Omsg),c_union(X_45685,X_45686,tc_Message_Omsg),tc_Message_Omsg) = X_45687
    | c_lessequals(c_Message_Oparts(c_insert(X_45687,X_45686,tc_Message_Omsg)),c_Message_Oparts(c_union(X_45685,X_45686,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
    inference(subst,[],[refute_0_17:[bind(X_45681,$fot(X_45685)),bind(X_45683,$fot(X_45686)),bind(X_45684,$fot(X_45687))]]) ).

cnf(refute_0_19,plain,
    ( c_Main_OsubsetI__1(c_insert(X_45687,X_45686,tc_Message_Omsg),c_union(X_45685,X_45686,tc_Message_Omsg),tc_Message_Omsg) = X_45687
    | c_lessequals(c_Message_Oparts(c_insert(X_45687,X_45686,tc_Message_Omsg)),c_union(c_Message_Oparts(X_45685),c_Message_Oparts(X_45686),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
    inference(resolve,[$cnf( c_lessequals(c_Message_Oparts(c_insert(X_45687,X_45686,tc_Message_Omsg)),c_Message_Oparts(c_union(X_45685,X_45686,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )],[refute_0_18,refute_0_5]) ).

cnf(refute_0_20,plain,
    ( c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg) = v_X
    | c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
    inference(subst,[],[refute_0_19:[bind(X_45685,$fot(v_G)),bind(X_45686,$fot(v_H)),bind(X_45687,$fot(v_X))]]) ).

cnf(refute_0_21,plain,
    c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg) = v_X,
    inference(resolve,[$cnf( c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )],[refute_0_20,cls_conjecture_1]) ).

cnf(refute_0_22,plain,
    ( c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg) != v_X
    | ~ c_in(v_X,c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)
    | c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg) ),
    introduced(tautology,[equality,[$cnf( ~ c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg) ),[0],$fot(v_X)]]) ).

cnf(refute_0_23,plain,
    ( ~ c_in(v_X,c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)
    | c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg) ),
    inference(resolve,[$cnf( $equal(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg),v_X) )],[refute_0_21,refute_0_22]) ).

cnf(refute_0_24,plain,
    ( ~ c_in(v_X,c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)
    | c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
    inference(resolve,[$cnf( c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg) )],[refute_0_23,refute_0_4]) ).

cnf(refute_0_25,plain,
    ( ~ c_in(v_X,v_G,tc_Message_Omsg)
    | c_in(v_X,c_union(v_G,X_61,tc_Message_Omsg),tc_Message_Omsg) ),
    inference(subst,[],[cls_Set_OUnCI_1:[bind(T_a,$fot(tc_Message_Omsg)),bind(V_A,$fot(v_G)),bind(V_B,$fot(X_61)),bind(V_c,$fot(v_X))]]) ).

cnf(refute_0_26,plain,
    c_in(v_X,c_union(v_G,X_61,tc_Message_Omsg),tc_Message_Omsg),
    inference(resolve,[$cnf( c_in(v_X,v_G,tc_Message_Omsg) )],[cls_conjecture_0,refute_0_25]) ).

cnf(refute_0_27,plain,
    c_in(v_X,c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg),
    inference(subst,[],[refute_0_26:[bind(X_61,$fot(v_H))]]) ).

cnf(refute_0_28,plain,
    c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)),
    inference(resolve,[$cnf( c_in(v_X,c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg) )],[refute_0_27,refute_0_24]) ).

cnf(refute_0_29,plain,
    c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
    inference(resolve,[$cnf( c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)) )],[refute_0_28,refute_0_3]) ).

cnf(refute_0_30,plain,
    c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
    inference(resolve,[$cnf( c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )],[refute_0_29,refute_0_2]) ).

cnf(refute_0_31,plain,
    $false,
    inference(resolve,[$cnf( c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)) )],[refute_0_30,cls_conjecture_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SWV261-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jun 15 03:24:20 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 146.74/146.89  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 146.74/146.89  
% 146.74/146.89  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 146.74/146.90  
%------------------------------------------------------------------------------