%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWV240-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n016.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 20:30:36 EDT 2022
% Result : Unsatisfiable 0.20s 0.49s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of clauses : 20 ( 8 unt; 4 nHn; 9 RR)
% Number of literals : 34 ( 0 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 35 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
~ c_lessequals(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ).
cnf(cls_Message_Oanalz_OInj_0,axiom,
( ~ c_in(V_X,V_H,tc_Message_Omsg)
| c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
cnf(cls_Message_Oanalz__subset__cong_0,axiom,
( ~ c_lessequals(c_Message_Oanalz(V_H),c_Message_Oanalz(V_H_H),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_G_H),tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oanalz(c_union(V_G,V_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(V_G_H,V_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ) ).
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__refl_0,axiom,
c_lessequals(V_A,V_A,tc_set(T_a)) ).
cnf(refute_0_0,plain,
( ~ c_in(c_Main_OsubsetI__1(X_10,c_Message_Oanalz(X_10),tc_Message_Omsg),c_Message_Oanalz(X_10),tc_Message_Omsg)
| c_lessequals(X_10,c_Message_Oanalz(X_10),tc_set(tc_Message_Omsg)) ),
inference(subst,[],[cls_Set_OsubsetI_1:[bind(T_a,$fot(tc_Message_Omsg)),bind(V_A,$fot(X_10)),bind(V_B,$fot(c_Message_Oanalz(X_10)))]]) ).
cnf(refute_0_1,plain,
( ~ c_in(c_Main_OsubsetI__1(X_8,X_9,tc_Message_Omsg),X_8,tc_Message_Omsg)
| c_in(c_Main_OsubsetI__1(X_8,X_9,tc_Message_Omsg),c_Message_Oanalz(X_8),tc_Message_Omsg) ),
inference(subst,[],[cls_Message_Oanalz_OInj_0:[bind(V_H,$fot(X_8)),bind(V_X,$fot(c_Main_OsubsetI__1(X_8,X_9,tc_Message_Omsg)))]]) ).
cnf(refute_0_2,plain,
( c_in(c_Main_OsubsetI__1(X_8,X_9,tc_Message_Omsg),X_8,tc_Message_Omsg)
| c_lessequals(X_8,X_9,tc_set(tc_Message_Omsg)) ),
inference(subst,[],[cls_Set_OsubsetI_0:[bind(T_a,$fot(tc_Message_Omsg)),bind(V_A,$fot(X_8)),bind(V_B,$fot(X_9))]]) ).
cnf(refute_0_3,plain,
( c_in(c_Main_OsubsetI__1(X_8,X_9,tc_Message_Omsg),c_Message_Oanalz(X_8),tc_Message_Omsg)
| c_lessequals(X_8,X_9,tc_set(tc_Message_Omsg)) ),
inference(resolve,[$cnf( c_in(c_Main_OsubsetI__1(X_8,X_9,tc_Message_Omsg),X_8,tc_Message_Omsg) )],[refute_0_2,refute_0_1]) ).
cnf(refute_0_4,plain,
( c_in(c_Main_OsubsetI__1(X_10,c_Message_Oanalz(X_10),tc_Message_Omsg),c_Message_Oanalz(X_10),tc_Message_Omsg)
| c_lessequals(X_10,c_Message_Oanalz(X_10),tc_set(tc_Message_Omsg)) ),
inference(subst,[],[refute_0_3:[bind(X_8,$fot(X_10)),bind(X_9,$fot(c_Message_Oanalz(X_10)))]]) ).
cnf(refute_0_5,plain,
c_lessequals(X_10,c_Message_Oanalz(X_10),tc_set(tc_Message_Omsg)),
inference(resolve,[$cnf( c_in(c_Main_OsubsetI__1(X_10,c_Message_Oanalz(X_10),tc_Message_Omsg),c_Message_Oanalz(X_10),tc_Message_Omsg) )],[refute_0_4,refute_0_0]) ).
cnf(refute_0_6,plain,
c_lessequals(c_Message_Oanalz(X_180),c_Message_Oanalz(c_Message_Oanalz(X_180)),tc_set(tc_Message_Omsg)),
inference(subst,[],[refute_0_5:[bind(X_10,$fot(c_Message_Oanalz(X_180)))]]) ).
cnf(refute_0_7,plain,
c_lessequals(c_Message_Oanalz(X_58),c_Message_Oanalz(X_58),tc_set(tc_Message_Omsg)),
inference(subst,[],[cls_Set_Osubset__refl_0:[bind(T_a,$fot(tc_Message_Omsg)),bind(V_A,$fot(c_Message_Oanalz(X_58)))]]) ).
cnf(refute_0_8,plain,
( ~ c_lessequals(c_Message_Oanalz(X_55),c_Message_Oanalz(X_56),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(X_58),c_Message_Oanalz(X_58),tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oanalz(c_union(X_55,X_58,tc_Message_Omsg)),c_Message_Oanalz(c_union(X_56,X_58,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(subst,[],[cls_Message_Oanalz__subset__cong_0:[bind(V_G,$fot(X_55)),bind(V_G_H,$fot(X_56)),bind(V_H,$fot(X_58)),bind(V_H_H,$fot(X_58))]]) ).
cnf(refute_0_9,plain,
( ~ c_lessequals(c_Message_Oanalz(X_55),c_Message_Oanalz(X_56),tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oanalz(c_union(X_55,X_58,tc_Message_Omsg)),c_Message_Oanalz(c_union(X_56,X_58,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(resolve,[$cnf( c_lessequals(c_Message_Oanalz(X_58),c_Message_Oanalz(X_58),tc_set(tc_Message_Omsg)) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ c_lessequals(c_Message_Oanalz(X_180),c_Message_Oanalz(c_Message_Oanalz(X_180)),tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oanalz(c_union(X_180,X_182,tc_Message_Omsg)),c_Message_Oanalz(c_union(c_Message_Oanalz(X_180),X_182,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(subst,[],[refute_0_9:[bind(X_55,$fot(X_180)),bind(X_56,$fot(c_Message_Oanalz(X_180))),bind(X_58,$fot(X_182))]]) ).
cnf(refute_0_11,plain,
c_lessequals(c_Message_Oanalz(c_union(X_180,X_182,tc_Message_Omsg)),c_Message_Oanalz(c_union(c_Message_Oanalz(X_180),X_182,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(resolve,[$cnf( c_lessequals(c_Message_Oanalz(X_180),c_Message_Oanalz(c_Message_Oanalz(X_180)),tc_set(tc_Message_Omsg)) )],[refute_0_6,refute_0_10]) ).
cnf(refute_0_12,plain,
c_lessequals(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(subst,[],[refute_0_11:[bind(X_180,$fot(v_G)),bind(X_182,$fot(v_H))]]) ).
cnf(refute_0_13,plain,
$false,
inference(resolve,[$cnf( c_lessequals(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) )],[refute_0_12,cls_conjecture_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV240-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n016.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 : Thu Jun 16 05:42:48 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.49 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.49
% 0.20/0.49 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.49
%------------------------------------------------------------------------------