TSTP Solution File: SWV239-2 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWV239-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n020.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 20:30:35 EDT 2022
% Result : Unsatisfiable 0.18s 0.45s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% 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(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ).
cnf(cls_Message_Oanalz__analzD__dest_0,axiom,
( ~ c_in(V_X,c_Message_Oanalz(c_Message_Oanalz(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_lessequals(c_Message_Oanalz(X_101),c_Message_Oanalz(X_101),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_101)))]]) ).
cnf(refute_0_1,plain,
( ~ c_in(c_Main_OsubsetI__1(c_Message_Oanalz(c_Message_Oanalz(X_10)),c_Message_Oanalz(X_10),tc_Message_Omsg),c_Message_Oanalz(X_10),tc_Message_Omsg)
| c_lessequals(c_Message_Oanalz(c_Message_Oanalz(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(c_Message_Oanalz(c_Message_Oanalz(X_10)))),bind(V_B,$fot(c_Message_Oanalz(X_10)))]]) ).
cnf(refute_0_2,plain,
( ~ c_in(c_Main_OsubsetI__1(c_Message_Oanalz(c_Message_Oanalz(V_H)),X_6,tc_Message_Omsg),c_Message_Oanalz(c_Message_Oanalz(V_H)),tc_Message_Omsg)
| c_in(c_Main_OsubsetI__1(c_Message_Oanalz(c_Message_Oanalz(V_H)),X_6,tc_Message_Omsg),c_Message_Oanalz(V_H),tc_Message_Omsg) ),
inference(subst,[],[cls_Message_Oanalz__analzD__dest_0:[bind(V_X,$fot(c_Main_OsubsetI__1(c_Message_Oanalz(c_Message_Oanalz(V_H)),X_6,tc_Message_Omsg)))]]) ).
cnf(refute_0_3,plain,
( c_in(c_Main_OsubsetI__1(c_Message_Oanalz(c_Message_Oanalz(V_H)),X_6,tc_Message_Omsg),c_Message_Oanalz(c_Message_Oanalz(V_H)),tc_Message_Omsg)
| c_lessequals(c_Message_Oanalz(c_Message_Oanalz(V_H)),X_6,tc_set(tc_Message_Omsg)) ),
inference(subst,[],[cls_Set_OsubsetI_0:[bind(T_a,$fot(tc_Message_Omsg)),bind(V_A,$fot(c_Message_Oanalz(c_Message_Oanalz(V_H)))),bind(V_B,$fot(X_6))]]) ).
cnf(refute_0_4,plain,
( c_in(c_Main_OsubsetI__1(c_Message_Oanalz(c_Message_Oanalz(V_H)),X_6,tc_Message_Omsg),c_Message_Oanalz(V_H),tc_Message_Omsg)
| c_lessequals(c_Message_Oanalz(c_Message_Oanalz(V_H)),X_6,tc_set(tc_Message_Omsg)) ),
inference(resolve,[$cnf( c_in(c_Main_OsubsetI__1(c_Message_Oanalz(c_Message_Oanalz(V_H)),X_6,tc_Message_Omsg),c_Message_Oanalz(c_Message_Oanalz(V_H)),tc_Message_Omsg) )],[refute_0_3,refute_0_2]) ).
cnf(refute_0_5,plain,
( c_in(c_Main_OsubsetI__1(c_Message_Oanalz(c_Message_Oanalz(X_10)),c_Message_Oanalz(X_10),tc_Message_Omsg),c_Message_Oanalz(X_10),tc_Message_Omsg)
| c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X_10)),c_Message_Oanalz(X_10),tc_set(tc_Message_Omsg)) ),
inference(subst,[],[refute_0_4:[bind(V_H,$fot(X_10)),bind(X_6,$fot(c_Message_Oanalz(X_10)))]]) ).
cnf(refute_0_6,plain,
c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X_10)),c_Message_Oanalz(X_10),tc_set(tc_Message_Omsg)),
inference(resolve,[$cnf( c_in(c_Main_OsubsetI__1(c_Message_Oanalz(c_Message_Oanalz(X_10)),c_Message_Oanalz(X_10),tc_Message_Omsg),c_Message_Oanalz(X_10),tc_Message_Omsg) )],[refute_0_5,refute_0_1]) ).
cnf(refute_0_7,plain,
c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X_46)),c_Message_Oanalz(X_46),tc_set(tc_Message_Omsg)),
inference(subst,[],[refute_0_6:[bind(X_10,$fot(X_46))]]) ).
cnf(refute_0_8,plain,
( ~ c_lessequals(c_Message_Oanalz(X_47),c_Message_Oanalz(X_48),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X_46)),c_Message_Oanalz(X_46),tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oanalz(c_union(c_Message_Oanalz(X_46),X_47,tc_Message_Omsg)),c_Message_Oanalz(c_union(X_46,X_48,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(subst,[],[cls_Message_Oanalz__subset__cong_0:[bind(V_G,$fot(c_Message_Oanalz(X_46))),bind(V_G_H,$fot(X_46)),bind(V_H,$fot(X_47)),bind(V_H_H,$fot(X_48))]]) ).
cnf(refute_0_9,plain,
( ~ c_lessequals(c_Message_Oanalz(X_47),c_Message_Oanalz(X_48),tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oanalz(c_union(c_Message_Oanalz(X_46),X_47,tc_Message_Omsg)),c_Message_Oanalz(c_union(X_46,X_48,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(resolve,[$cnf( c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X_46)),c_Message_Oanalz(X_46),tc_set(tc_Message_Omsg)) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ c_lessequals(c_Message_Oanalz(X_101),c_Message_Oanalz(X_101),tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oanalz(c_union(c_Message_Oanalz(X_99),X_101,tc_Message_Omsg)),c_Message_Oanalz(c_union(X_99,X_101,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(subst,[],[refute_0_9:[bind(X_46,$fot(X_99)),bind(X_47,$fot(X_101)),bind(X_48,$fot(X_101))]]) ).
cnf(refute_0_11,plain,
c_lessequals(c_Message_Oanalz(c_union(c_Message_Oanalz(X_99),X_101,tc_Message_Omsg)),c_Message_Oanalz(c_union(X_99,X_101,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(resolve,[$cnf( c_lessequals(c_Message_Oanalz(X_101),c_Message_Oanalz(X_101),tc_set(tc_Message_Omsg)) )],[refute_0_0,refute_0_10]) ).
cnf(refute_0_12,plain,
c_lessequals(c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(subst,[],[refute_0_11:[bind(X_101,$fot(v_H)),bind(X_99,$fot(v_G))]]) ).
cnf(refute_0_13,plain,
$false,
inference(resolve,[$cnf( c_lessequals(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_set(tc_Message_Omsg)) )],[refute_0_12,cls_conjecture_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.15 % Problem : SWV239-2 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.15 % Command : metis --show proof --show saturation %s
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Wed Jun 15 13:39:49 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.45 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45
% 0.18/0.45 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.18/0.46
%------------------------------------------------------------------------------