TSTP Solution File: SWV279-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV279-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.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 : 300s
% DateTime : Wed May 31 12:41:10 EDT 2023
% Result : Unsatisfiable 17.40s 2.70s
% Output : CNFRefutation 17.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 36 ( 12 unt; 0 def)
% Number of atoms : 64 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 55 ( 27 ~; 26 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 59 (; 59 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f108,axiom,
! [V_c,V_A,T_a,V_B] :
( ~ c_in(V_c,V_A,T_a)
| ~ c_lessequals(V_A,V_B,tc_set(T_a))
| c_in(V_c,V_B,T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2684,axiom,
! [V_x,V_A,T_a] : c_in(V_x,c_insert(V_x,V_A,T_a),T_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2728,axiom,
! [V_X,V_Y,V_H] :
( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)
| c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2729,axiom,
! [V_X,V_Y,V_H] :
( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)
| c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2877,axiom,
! [V_X,V_Y,V_H] : c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(c_insert(V_X,c_insert(V_Y,V_H,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2916,axiom,
! [V_X,V_evs] :
( ~ c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg)
| c_lessequals(c_Message_Oparts(c_insert(V_X,c_emptyset,tc_Message_Omsg)),c_Event_Oused(V_evs),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2917,negated_conjecture,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Event_Oused(v_H),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2918,negated_conjecture,
( ~ c_in(v_Y,c_Event_Oused(v_H),tc_Message_Omsg)
| ~ c_in(v_X,c_Event_Oused(v_H),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3057,plain,
! [V_c,T_a,V_B] :
( ! [V_A] :
( ~ c_in(V_c,V_A,T_a)
| ~ c_lessequals(V_A,V_B,tc_set(T_a)) )
| c_in(V_c,V_B,T_a) ),
inference(miniscoping,[status(esa)],[f108]) ).
fof(f3058,plain,
! [X0,X1,X2,X3] :
( ~ c_in(X0,X1,X2)
| ~ c_lessequals(X1,X3,tc_set(X2))
| c_in(X0,X3,X2) ),
inference(cnf_transformation,[status(esa)],[f3057]) ).
fof(f6203,plain,
! [X0,X1,X2] : c_in(X0,c_insert(X0,X1,X2),X2),
inference(cnf_transformation,[status(esa)],[f2684]) ).
fof(f6260,plain,
! [V_Y,V_H] :
( ! [V_X] : ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)
| c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg) ),
inference(miniscoping,[status(esa)],[f2728]) ).
fof(f6261,plain,
! [X0,X1,X2] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(cnf_transformation,[status(esa)],[f6260]) ).
fof(f6262,plain,
! [V_X,V_H] :
( ! [V_Y] : ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)
| c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ),
inference(miniscoping,[status(esa)],[f2729]) ).
fof(f6263,plain,
! [X0,X1,X2] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(cnf_transformation,[status(esa)],[f6262]) ).
fof(f6441,plain,
! [X0,X1,X2] : c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(c_insert(X0,c_insert(X1,X2,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(cnf_transformation,[status(esa)],[f2877]) ).
fof(f6482,plain,
! [X0,X1] :
( ~ c_in(X0,c_Event_Oused(X1),tc_Message_Omsg)
| c_lessequals(c_Message_Oparts(c_insert(X0,c_emptyset,tc_Message_Omsg)),c_Event_Oused(X1),tc_set(tc_Message_Omsg)) ),
inference(cnf_transformation,[status(esa)],[f2916]) ).
fof(f6483,plain,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Event_Oused(v_H),tc_Message_Omsg),
inference(cnf_transformation,[status(esa)],[f2917]) ).
fof(f6484,plain,
( ~ c_in(v_Y,c_Event_Oused(v_H),tc_Message_Omsg)
| ~ c_in(v_X,c_Event_Oused(v_H),tc_Message_Omsg) ),
inference(cnf_transformation,[status(esa)],[f2918]) ).
fof(f6493,plain,
( spl0_2
<=> c_in(v_Y,c_Event_Oused(v_H),tc_Message_Omsg) ),
introduced(split_symbol_definition) ).
fof(f6495,plain,
( ~ c_in(v_Y,c_Event_Oused(v_H),tc_Message_Omsg)
| spl0_2 ),
inference(component_clause,[status(thm)],[f6493]) ).
fof(f6496,plain,
( spl0_3
<=> c_in(v_X,c_Event_Oused(v_H),tc_Message_Omsg) ),
introduced(split_symbol_definition) ).
fof(f6498,plain,
( ~ c_in(v_X,c_Event_Oused(v_H),tc_Message_Omsg)
| spl0_3 ),
inference(component_clause,[status(thm)],[f6496]) ).
fof(f6499,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f6484,f6493,f6496]) ).
fof(f12242,plain,
! [X0,X1,X2] : c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)),tc_Message_Omsg),
inference(paramodulation,[status(thm)],[f6441,f6203]) ).
fof(f12297,plain,
! [X0,X1,X2] :
( ~ c_in(X0,c_Message_Oparts(c_insert(X1,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X0,c_Event_Oused(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Event_Oused(X2),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f3058,f6482]) ).
fof(f12436,plain,
! [X0,X1,X2] : c_in(X0,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)),tc_Message_Omsg),
inference(resolution,[status(thm)],[f12242,f6263]) ).
fof(f12437,plain,
! [X0,X1,X2] : c_in(X0,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(X1,X0),X2,tc_Message_Omsg)),tc_Message_Omsg),
inference(resolution,[status(thm)],[f12242,f6261]) ).
fof(f13750,plain,
! [X0] :
( ~ c_in(X0,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X,v_Y),c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X0,c_Event_Oused(v_H),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f12297,f6483]) ).
fof(f14763,plain,
( ~ c_in(v_Y,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X,v_Y),c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| spl0_2 ),
inference(resolution,[status(thm)],[f13750,f6495]) ).
fof(f14764,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f14763,f12437]) ).
fof(f14765,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f14764]) ).
fof(f14768,plain,
( ~ c_in(v_X,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X,v_Y),c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| spl0_3 ),
inference(resolution,[status(thm)],[f6498,f13750]) ).
fof(f14769,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f14768,f12436]) ).
fof(f14770,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f14769]) ).
fof(f14771,plain,
$false,
inference(sat_refutation,[status(thm)],[f6499,f14765,f14770]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV279-1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n025.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 : 300
% 0.13/0.34 % DateTime : Tue May 30 11:52:12 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.46 % Drodi V3.5.1
% 17.40/2.70 % Refutation found
% 17.40/2.70 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 17.40/2.70 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 18.14/2.81 % Elapsed time: 2.451609 seconds
% 18.14/2.81 % CPU time: 17.862631 seconds
% 18.14/2.81 % Memory used: 771.820 MB
%------------------------------------------------------------------------------