TSTP Solution File: SWV274-2 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWV274-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n008.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 20:30:49 EDT 2022
% Result : Unsatisfiable 8.19s 8.43s
% Output : CNFRefutation 8.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 9
% Syntax : Number of clauses : 33 ( 7 unt; 13 nHn; 25 RR)
% Number of literals : 71 ( 13 equ; 22 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 52 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Message_Osynth_OInj_0,axiom,
( ~ c_in(V_X,V_H,tc_Message_Omsg)
| c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
cnf(cls_Message_Osynth__trans_0,axiom,
( ~ c_in(V_X,c_Message_Osynth(V_G),tc_Message_Omsg)
| ~ c_lessequals(V_G,c_Message_Osynth(V_H),tc_set(tc_Message_Omsg))
| c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
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_conjecture_0,negated_conjecture,
c_in(v_Y,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) ).
cnf(cls_conjecture_1,negated_conjecture,
c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg) ).
cnf(refute_0_0,plain,
( ~ c_in(V_X,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_set(tc_Message_Omsg))
| c_in(V_X,c_Message_Osynth(v_H),tc_Message_Omsg) ),
inference(subst,[],[cls_Message_Osynth__trans_0:[bind(V_G,$fot(c_insert(v_X,v_H,tc_Message_Omsg))),bind(V_H,$fot(v_H))]]) ).
cnf(refute_0_1,plain,
( ~ c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg)
| c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),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,$fot(c_Message_Osynth(v_H)))]]) ).
cnf(refute_0_2,plain,
( ~ c_in(V_X,c_Message_Osynth(c_insert(X_223,X_222,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_lessequals(c_insert(X_223,X_222,tc_Message_Omsg),c_Message_Osynth(X_222),tc_set(tc_Message_Omsg))
| c_in(V_X,c_Message_Osynth(X_222),tc_Message_Omsg) ),
inference(subst,[],[cls_Message_Osynth__trans_0:[bind(V_G,$fot(c_insert(X_223,X_222,tc_Message_Omsg))),bind(V_H,$fot(X_222))]]) ).
cnf(refute_0_3,plain,
( ~ c_in(c_Main_OsubsetI__1(c_insert(X_221,X_220,tc_Message_Omsg),c_Message_Osynth(X_220),tc_Message_Omsg),c_Message_Osynth(X_220),tc_Message_Omsg)
| c_lessequals(c_insert(X_221,X_220,tc_Message_Omsg),c_Message_Osynth(X_220),tc_set(tc_Message_Omsg)) ),
inference(subst,[],[cls_Set_OsubsetI_1:[bind(T_a,$fot(tc_Message_Omsg)),bind(V_A,$fot(c_insert(X_221,X_220,tc_Message_Omsg))),bind(V_B,$fot(c_Message_Osynth(X_220)))]]) ).
cnf(refute_0_4,plain,
( ~ c_in(c_Main_OsubsetI__1(c_insert(X_87,X_86,tc_Message_Omsg),X_84,tc_Message_Omsg),X_86,tc_Message_Omsg)
| c_in(c_Main_OsubsetI__1(c_insert(X_87,X_86,tc_Message_Omsg),X_84,tc_Message_Omsg),c_Message_Osynth(X_86),tc_Message_Omsg) ),
inference(subst,[],[cls_Message_Osynth_OInj_0:[bind(V_H,$fot(X_86)),bind(V_X,$fot(c_Main_OsubsetI__1(c_insert(X_87,X_86,tc_Message_Omsg),X_84,tc_Message_Omsg)))]]) ).
cnf(refute_0_5,plain,
( c_in(c_Main_OsubsetI__1(c_insert(X_49,X_47,X_46),V_B,X_46),c_insert(X_49,X_47,X_46),X_46)
| c_lessequals(c_insert(X_49,X_47,X_46),V_B,tc_set(X_46)) ),
inference(subst,[],[cls_Set_OsubsetI_0:[bind(T_a,$fot(X_46)),bind(V_A,$fot(c_insert(X_49,X_47,X_46)))]]) ).
cnf(refute_0_6,plain,
( ~ c_in(c_Main_OsubsetI__1(c_insert(X_49,X_47,X_46),V_B,X_46),c_insert(X_49,X_47,X_46),X_46)
| c_Main_OsubsetI__1(c_insert(X_49,X_47,X_46),V_B,X_46) = X_49
| c_in(c_Main_OsubsetI__1(c_insert(X_49,X_47,X_46),V_B,X_46),X_47,X_46) ),
inference(subst,[],[cls_Set_OinsertE_0:[bind(T_a,$fot(X_46)),bind(V_A,$fot(X_47)),bind(V_a,$fot(c_Main_OsubsetI__1(c_insert(X_49,X_47,X_46),V_B,X_46))),bind(V_b,$fot(X_49))]]) ).
cnf(refute_0_7,plain,
( c_Main_OsubsetI__1(c_insert(X_49,X_47,X_46),V_B,X_46) = X_49
| c_in(c_Main_OsubsetI__1(c_insert(X_49,X_47,X_46),V_B,X_46),X_47,X_46)
| c_lessequals(c_insert(X_49,X_47,X_46),V_B,tc_set(X_46)) ),
inference(resolve,[$cnf( c_in(c_Main_OsubsetI__1(c_insert(X_49,X_47,X_46),V_B,X_46),c_insert(X_49,X_47,X_46),X_46) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
( c_Main_OsubsetI__1(c_insert(X_87,X_86,tc_Message_Omsg),X_84,tc_Message_Omsg) = X_87
| c_in(c_Main_OsubsetI__1(c_insert(X_87,X_86,tc_Message_Omsg),X_84,tc_Message_Omsg),X_86,tc_Message_Omsg)
| c_lessequals(c_insert(X_87,X_86,tc_Message_Omsg),X_84,tc_set(tc_Message_Omsg)) ),
inference(subst,[],[refute_0_7:[bind(V_B,$fot(X_84)),bind(X_46,$fot(tc_Message_Omsg)),bind(X_47,$fot(X_86)),bind(X_49,$fot(X_87))]]) ).
cnf(refute_0_9,plain,
( c_Main_OsubsetI__1(c_insert(X_87,X_86,tc_Message_Omsg),X_84,tc_Message_Omsg) = X_87
| c_in(c_Main_OsubsetI__1(c_insert(X_87,X_86,tc_Message_Omsg),X_84,tc_Message_Omsg),c_Message_Osynth(X_86),tc_Message_Omsg)
| c_lessequals(c_insert(X_87,X_86,tc_Message_Omsg),X_84,tc_set(tc_Message_Omsg)) ),
inference(resolve,[$cnf( c_in(c_Main_OsubsetI__1(c_insert(X_87,X_86,tc_Message_Omsg),X_84,tc_Message_Omsg),X_86,tc_Message_Omsg) )],[refute_0_8,refute_0_4]) ).
cnf(refute_0_10,plain,
( c_Main_OsubsetI__1(c_insert(X_221,X_220,tc_Message_Omsg),c_Message_Osynth(X_220),tc_Message_Omsg) = X_221
| c_in(c_Main_OsubsetI__1(c_insert(X_221,X_220,tc_Message_Omsg),c_Message_Osynth(X_220),tc_Message_Omsg),c_Message_Osynth(X_220),tc_Message_Omsg)
| c_lessequals(c_insert(X_221,X_220,tc_Message_Omsg),c_Message_Osynth(X_220),tc_set(tc_Message_Omsg)) ),
inference(subst,[],[refute_0_9:[bind(X_84,$fot(c_Message_Osynth(X_220))),bind(X_86,$fot(X_220)),bind(X_87,$fot(X_221))]]) ).
cnf(refute_0_11,plain,
( c_Main_OsubsetI__1(c_insert(X_221,X_220,tc_Message_Omsg),c_Message_Osynth(X_220),tc_Message_Omsg) = X_221
| c_lessequals(c_insert(X_221,X_220,tc_Message_Omsg),c_Message_Osynth(X_220),tc_set(tc_Message_Omsg)) ),
inference(resolve,[$cnf( c_in(c_Main_OsubsetI__1(c_insert(X_221,X_220,tc_Message_Omsg),c_Message_Osynth(X_220),tc_Message_Omsg),c_Message_Osynth(X_220),tc_Message_Omsg) )],[refute_0_10,refute_0_3]) ).
cnf(refute_0_12,plain,
( c_Main_OsubsetI__1(c_insert(X_223,X_222,tc_Message_Omsg),c_Message_Osynth(X_222),tc_Message_Omsg) = X_223
| c_lessequals(c_insert(X_223,X_222,tc_Message_Omsg),c_Message_Osynth(X_222),tc_set(tc_Message_Omsg)) ),
inference(subst,[],[refute_0_11:[bind(X_220,$fot(X_222)),bind(X_221,$fot(X_223))]]) ).
cnf(refute_0_13,plain,
( ~ c_in(V_X,c_Message_Osynth(c_insert(X_223,X_222,tc_Message_Omsg)),tc_Message_Omsg)
| c_Main_OsubsetI__1(c_insert(X_223,X_222,tc_Message_Omsg),c_Message_Osynth(X_222),tc_Message_Omsg) = X_223
| c_in(V_X,c_Message_Osynth(X_222),tc_Message_Omsg) ),
inference(resolve,[$cnf( c_lessequals(c_insert(X_223,X_222,tc_Message_Omsg),c_Message_Osynth(X_222),tc_set(tc_Message_Omsg)) )],[refute_0_12,refute_0_2]) ).
cnf(refute_0_14,plain,
( ~ c_in(v_Y,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg) = v_X
| c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg) ),
inference(subst,[],[refute_0_13:[bind(V_X,$fot(v_Y)),bind(X_222,$fot(v_H)),bind(X_223,$fot(v_X))]]) ).
cnf(refute_0_15,plain,
( c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg) = v_X
| c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg) ),
inference(resolve,[$cnf( c_in(v_Y,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) )],[cls_conjecture_0,refute_0_14]) ).
cnf(refute_0_16,plain,
c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg) = v_X,
inference(resolve,[$cnf( c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg) )],[refute_0_15,cls_conjecture_2]) ).
cnf(refute_0_17,plain,
( c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg) != v_X
| ~ c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg)
| c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg) ),
introduced(tautology,[equality,[$cnf( ~ c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg) ),[0],$fot(v_X)]]) ).
cnf(refute_0_18,plain,
( ~ c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg)
| c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg) ),
inference(resolve,[$cnf( $equal(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg),v_X) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
( ~ c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg)
| c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_set(tc_Message_Omsg)) ),
inference(resolve,[$cnf( c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg) )],[refute_0_18,refute_0_1]) ).
cnf(refute_0_20,plain,
c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_set(tc_Message_Omsg)),
inference(resolve,[$cnf( c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg) )],[cls_conjecture_1,refute_0_19]) ).
cnf(refute_0_21,plain,
( ~ c_in(V_X,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(V_X,c_Message_Osynth(v_H),tc_Message_Omsg) ),
inference(resolve,[$cnf( c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_set(tc_Message_Omsg)) )],[refute_0_20,refute_0_0]) ).
cnf(refute_0_22,plain,
( ~ c_in(v_Y,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg) ),
inference(subst,[],[refute_0_21:[bind(V_X,$fot(v_Y))]]) ).
cnf(refute_0_23,plain,
c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg),
inference(resolve,[$cnf( c_in(v_Y,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) )],[cls_conjecture_0,refute_0_22]) ).
cnf(refute_0_24,plain,
$false,
inference(resolve,[$cnf( c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg) )],[refute_0_23,cls_conjecture_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWV274-2 : TPTP v8.1.0. Released v3.2.0.
% 0.09/0.10 % Command : metis --show proof --show saturation %s
% 0.09/0.30 % Computer : n008.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 600
% 0.09/0.30 % DateTime : Wed Jun 15 15:29:52 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.09/0.30 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 8.19/8.43 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.19/8.43
% 8.19/8.43 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 8.19/8.44
%------------------------------------------------------------------------------