TSTP Solution File: SWV245-2 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWV245-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n027.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 20:30:38 EDT 2022
% Result : Unsatisfiable 11.18s 11.37s
% Output : CNFRefutation 11.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 8
% Syntax : Number of clauses : 35 ( 7 unt; 17 nHn; 20 RR)
% Number of literals : 67 ( 0 equ; 16 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 37 ( 17 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_in(v_X,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg) ).
cnf(cls_Message_OMPair__analz_1,axiom,
( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)
| c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
cnf(cls_Message_OMPair__synth_1,axiom,
( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg)
| c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,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_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_OUnE_0,axiom,
( ~ c_in(V_c,c_union(V_A,V_B,T_a),T_a)
| c_in(V_c,V_B,T_a)
| c_in(V_c,V_A,T_a) ) ).
cnf(refute_0_0,plain,
( ~ c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg)
| c_in(v_X,c_union(V_A,c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg) ),
inference(subst,[],[cls_Set_OUnCI_0:[bind(T_a,$fot(tc_Message_Omsg)),bind(V_B,$fot(c_Message_Osynth(v_G))),bind(V_c,$fot(v_X))]]) ).
cnf(refute_0_1,plain,
( ~ c_in(v_X,c_Message_Oanalz(c_union(v_G,X_2070,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(v_X,c_union(c_Message_Oanalz(c_union(v_G,X_2070,tc_Message_Omsg)),V_B,tc_Message_Omsg),tc_Message_Omsg) ),
inference(subst,[],[cls_Set_OUnCI_1:[bind(T_a,$fot(tc_Message_Omsg)),bind(V_A,$fot(c_Message_Oanalz(c_union(v_G,X_2070,tc_Message_Omsg)))),bind(V_c,$fot(v_X))]]) ).
cnf(refute_0_2,plain,
( ~ c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oanalz(c_union(v_G,X_1887,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(v_X,c_Message_Oanalz(c_union(v_G,X_1887,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(subst,[],[cls_Message_OMPair__analz_1:[bind(V_H,$fot(c_union(v_G,X_1887,tc_Message_Omsg))),bind(V_X,$fot(v_X)),bind(V_Y,$fot(v_Y))]]) ).
cnf(refute_0_3,plain,
( ~ c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(v_G,X_1110,tc_Message_Omsg),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oanalz(c_union(v_G,X_1110,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(subst,[],[cls_Message_Oanalz_OInj_0:[bind(V_H,$fot(c_union(v_G,X_1110,tc_Message_Omsg))),bind(V_X,$fot(c_Message_Omsg_OMPair(v_X,v_Y)))]]) ).
cnf(refute_0_4,plain,
( ~ c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(v_G,V_B,tc_Message_Omsg),tc_Message_Omsg) ),
inference(subst,[],[cls_Set_OUnCI_1:[bind(T_a,$fot(tc_Message_Omsg)),bind(V_A,$fot(v_G)),bind(V_c,$fot(c_Message_Omsg_OMPair(v_X,v_Y)))]]) ).
cnf(refute_0_5,plain,
( ~ c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg)
| c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg) ),
inference(subst,[],[cls_Message_OMPair__synth_1:[bind(V_H,$fot(v_G)),bind(V_X,$fot(v_X)),bind(V_Y,$fot(v_Y))]]) ).
cnf(refute_0_6,plain,
( ~ c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(v_X,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),V_B,tc_Message_Omsg),tc_Message_Omsg) ),
inference(subst,[],[cls_Set_OUnCI_1:[bind(T_a,$fot(tc_Message_Omsg)),bind(V_A,$fot(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)))),bind(V_c,$fot(v_X))]]) ).
cnf(refute_0_7,plain,
( ~ c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(subst,[],[cls_Message_OMPair__analz_1:[bind(V_H,$fot(c_union(v_G,v_H,tc_Message_Omsg))),bind(V_X,$fot(v_X)),bind(V_Y,$fot(v_Y))]]) ).
cnf(refute_0_8,plain,
( ~ c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg) ),
inference(subst,[],[cls_Set_OUnE_0:[bind(T_a,$fot(tc_Message_Omsg)),bind(V_A,$fot(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)))),bind(V_B,$fot(c_Message_Osynth(v_G))),bind(V_c,$fot(c_Message_Omsg_OMPair(v_X,v_Y)))]]) ).
cnf(refute_0_9,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg) ),
inference(resolve,[$cnf( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg) )],[cls_conjecture_1,refute_0_8]) ).
cnf(refute_0_10,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg)
| c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolve,[$cnf( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) )],[refute_0_9,refute_0_7]) ).
cnf(refute_0_11,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg)
| c_in(v_X,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),V_B,tc_Message_Omsg),tc_Message_Omsg) ),
inference(resolve,[$cnf( c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) )],[refute_0_10,refute_0_6]) ).
cnf(refute_0_12,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg)
| c_in(v_X,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg) ),
inference(subst,[],[refute_0_11:[bind(V_B,$fot(c_Message_Osynth(v_G)))]]) ).
cnf(refute_0_13,plain,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg),
inference(resolve,[$cnf( c_in(v_X,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg) )],[refute_0_12,cls_conjecture_2]) ).
cnf(refute_0_14,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg)
| c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg) ),
inference(resolve,[$cnf( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg) )],[refute_0_13,refute_0_5]) ).
cnf(refute_0_15,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(v_G,V_B,tc_Message_Omsg),tc_Message_Omsg)
| c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg) ),
inference(resolve,[$cnf( c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg) )],[refute_0_14,refute_0_4]) ).
cnf(refute_0_16,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(v_G,X_1110,tc_Message_Omsg),tc_Message_Omsg)
| c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg) ),
inference(subst,[],[refute_0_15:[bind(V_B,$fot(X_1110))]]) ).
cnf(refute_0_17,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oanalz(c_union(v_G,X_1110,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg) ),
inference(resolve,[$cnf( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(v_G,X_1110,tc_Message_Omsg),tc_Message_Omsg) )],[refute_0_16,refute_0_3]) ).
cnf(refute_0_18,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oanalz(c_union(v_G,X_1887,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg) ),
inference(subst,[],[refute_0_17:[bind(X_1110,$fot(X_1887))]]) ).
cnf(refute_0_19,plain,
( c_in(v_X,c_Message_Oanalz(c_union(v_G,X_1887,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg) ),
inference(resolve,[$cnf( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oanalz(c_union(v_G,X_1887,tc_Message_Omsg)),tc_Message_Omsg) )],[refute_0_18,refute_0_2]) ).
cnf(refute_0_20,plain,
( c_in(v_X,c_Message_Oanalz(c_union(v_G,X_2070,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg) ),
inference(subst,[],[refute_0_19:[bind(X_1887,$fot(X_2070))]]) ).
cnf(refute_0_21,plain,
( c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg)
| c_in(v_X,c_union(c_Message_Oanalz(c_union(v_G,X_2070,tc_Message_Omsg)),V_B,tc_Message_Omsg),tc_Message_Omsg) ),
inference(resolve,[$cnf( c_in(v_X,c_Message_Oanalz(c_union(v_G,X_2070,tc_Message_Omsg)),tc_Message_Omsg) )],[refute_0_20,refute_0_1]) ).
cnf(refute_0_22,plain,
( c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg)
| c_in(v_X,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg) ),
inference(subst,[],[refute_0_21:[bind(V_B,$fot(c_Message_Osynth(v_G))),bind(X_2070,$fot(v_H))]]) ).
cnf(refute_0_23,plain,
c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg),
inference(resolve,[$cnf( c_in(v_X,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg) )],[refute_0_22,cls_conjecture_2]) ).
cnf(refute_0_24,plain,
c_in(v_X,c_union(V_A,c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
inference(resolve,[$cnf( c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg) )],[refute_0_23,refute_0_0]) ).
cnf(refute_0_25,plain,
c_in(v_X,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
inference(subst,[],[refute_0_24:[bind(V_A,$fot(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg))))]]) ).
cnf(refute_0_26,plain,
$false,
inference(resolve,[$cnf( c_in(v_X,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg) )],[refute_0_25,cls_conjecture_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV245-2 : TPTP v8.1.0. Released v3.2.0.
% 0.00/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n027.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 : Thu Jun 16 00:21:20 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 11.18/11.37 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.18/11.37
% 11.18/11.37 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 11.18/11.37
%------------------------------------------------------------------------------