TSTP Solution File: SWV245-2 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV245-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 12:41:01 EDT 2023
% Result : Unsatisfiable 0.15s 0.32s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 44 ( 13 unt; 0 def)
% Number of atoms : 82 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 73 ( 35 ~; 34 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 5 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 58 (; 58 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [V_X,V_Y,V_H] :
( ~ 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) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [V_X,V_Y,V_H] :
( ~ 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) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [V_X,V_H] :
( ~ c_in(V_X,V_H,tc_Message_Omsg)
| c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [V_c,V_B,T_a,V_A] :
( ~ c_in(V_c,V_B,T_a)
| c_in(V_c,c_union(V_A,V_B,T_a),T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [V_c,V_A,T_a,V_B] :
( ~ c_in(V_c,V_A,T_a)
| c_in(V_c,c_union(V_A,V_B,T_a),T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [V_c,V_A,V_B,T_a] :
( ~ 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) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,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),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f10,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(cnf_transformation,[status(esa)],[f2]) ).
fof(f11,plain,
! [V_X,V_H] :
( ! [V_Y] : ~ 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) ),
inference(miniscoping,[status(esa)],[f3]) ).
fof(f12,plain,
! [X0,X1,X2] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f13,plain,
! [X0,X1,X2] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg) ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f14,plain,
! [X0,X1] :
( ~ c_in(X0,X1,tc_Message_Omsg)
| c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f15,plain,
! [V_c,V_B,T_a] :
( ~ c_in(V_c,V_B,T_a)
| ! [V_A] : c_in(V_c,c_union(V_A,V_B,T_a),T_a) ),
inference(miniscoping,[status(esa)],[f6]) ).
fof(f16,plain,
! [X0,X1,X2,X3] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_union(X3,X1,X2),X2) ),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f17,plain,
! [V_c,V_A,T_a] :
( ~ c_in(V_c,V_A,T_a)
| ! [V_B] : c_in(V_c,c_union(V_A,V_B,T_a),T_a) ),
inference(miniscoping,[status(esa)],[f7]) ).
fof(f18,plain,
! [X0,X1,X2,X3] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_union(X1,X3,X2),X2) ),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f19,plain,
! [V_c,V_A,T_a] :
( ! [V_B] :
( ~ 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) ),
inference(miniscoping,[status(esa)],[f8]) ).
fof(f20,plain,
! [X0,X1,X2,X3] :
( ~ c_in(X0,c_union(X1,X2,X3),X3)
| c_in(X0,X2,X3)
| c_in(X0,X1,X3) ),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f21,plain,
~ c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg),
inference(resolution,[status(thm)],[f16,f10]) ).
fof(f22,plain,
~ c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(resolution,[status(thm)],[f18,f10]) ).
fof(f23,plain,
! [X0] : ~ c_in(c_Message_Omsg_OMPair(v_X,X0),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(resolution,[status(thm)],[f22,f12]) ).
fof(f27,plain,
( spl0_0
<=> c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg) ),
introduced(split_symbol_definition) ).
fof(f28,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg)
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f27]) ).
fof(f30,plain,
( spl0_1
<=> 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) ),
introduced(split_symbol_definition) ).
fof(f31,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)
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f30]) ).
fof(f33,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),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f20,f9]) ).
fof(f34,plain,
( spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f33,f27,f30]) ).
fof(f36,plain,
! [X0] : ~ c_in(c_Message_Omsg_OMPair(v_X,X0),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg),
inference(resolution,[status(thm)],[f23,f14]) ).
fof(f37,plain,
! [X0] : ~ c_in(c_Message_Omsg_OMPair(v_X,X0),v_G,tc_Message_Omsg),
inference(resolution,[status(thm)],[f36,f18]) ).
fof(f61,plain,
( spl0_2
<=> c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg) ),
introduced(split_symbol_definition) ).
fof(f62,plain,
( c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg)
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f61]) ).
fof(f64,plain,
( spl0_3
<=> c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg) ),
introduced(split_symbol_definition) ).
fof(f65,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg)
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f64]) ).
fof(f67,plain,
( c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f28,f13]) ).
fof(f68,plain,
( spl0_2
| spl0_3
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f67,f61,f64,f27]) ).
fof(f69,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f31,f23]) ).
fof(f70,plain,
~ spl0_1,
inference(contradiction_clause,[status(thm)],[f69]) ).
fof(f71,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f62,f21]) ).
fof(f72,plain,
~ spl0_2,
inference(contradiction_clause,[status(thm)],[f71]) ).
fof(f73,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f65,f37]) ).
fof(f74,plain,
~ spl0_3,
inference(contradiction_clause,[status(thm)],[f73]) ).
fof(f75,plain,
$false,
inference(sat_refutation,[status(thm)],[f34,f68,f70,f72,f74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWV245-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n029.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 11:59:21 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Drodi V3.5.1
% 0.15/0.32 % Refutation found
% 0.15/0.32 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.55 % Elapsed time: 0.029343 seconds
% 0.15/0.55 % CPU time: 0.010670 seconds
% 0.15/0.55 % Memory used: 558.212 KB
%------------------------------------------------------------------------------