TSTP Solution File: SWV270-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV270-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 12:41:07 EDT 2023
% Result : Unsatisfiable 0.16s 0.44s
% Output : CNFRefutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of formulae : 44 ( 9 unt; 0 def)
% Number of atoms : 87 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 78 ( 35 ~; 39 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 5 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 55 (; 55 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2640,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f2641,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f2642,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/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(f2767,axiom,
! [V_X,V_H] :
( ~ c_in(V_X,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(f2782,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f2827,negated_conjecture,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2828,negated_conjecture,
~ c_in(v_X,c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6050,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)],[f2640]) ).
fof(f6051,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)],[f6050]) ).
fof(f6052,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)],[f2641]) ).
fof(f6053,plain,
! [X0,X1,X2,X3] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_union(X1,X3,X2),X2) ),
inference(cnf_transformation,[status(esa)],[f6052]) ).
fof(f6054,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)],[f2642]) ).
fof(f6055,plain,
! [X0,X1,X2,X3] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_union(X3,X1,X2),X2) ),
inference(cnf_transformation,[status(esa)],[f6054]) ).
fof(f6172,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(f6173,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)],[f6172]) ).
fof(f6215,plain,
! [X0,X1] :
( ~ c_in(X0,X1,tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[status(esa)],[f2767]) ).
fof(f6234,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)],[f2782]) ).
fof(f6284,plain,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
inference(cnf_transformation,[status(esa)],[f2827]) ).
fof(f6285,plain,
~ c_in(v_X,c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
inference(cnf_transformation,[status(esa)],[f2828]) ).
fof(f6326,plain,
~ c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
inference(resolution,[status(thm)],[f6053,f6285]) ).
fof(f6334,plain,
~ c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),
inference(resolution,[status(thm)],[f6055,f6285]) ).
fof(f6446,plain,
( spl0_6
<=> c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_H),tc_Message_Omsg) ),
introduced(split_symbol_definition) ).
fof(f6447,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_H),tc_Message_Omsg)
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f6446]) ).
fof(f6449,plain,
( spl0_7
<=> c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oparts(v_H),tc_Message_Omsg) ),
introduced(split_symbol_definition) ).
fof(f6450,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oparts(v_H),tc_Message_Omsg)
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f6449]) ).
fof(f6451,plain,
( ~ c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oparts(v_H),tc_Message_Omsg)
| spl0_7 ),
inference(component_clause,[status(thm)],[f6449]) ).
fof(f6452,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oparts(v_H),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f6051,f6284]) ).
fof(f6453,plain,
( spl0_6
| spl0_7 ),
inference(split_clause,[status(thm)],[f6452,f6446,f6449]) ).
fof(f6895,plain,
( spl0_15
<=> c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_H,tc_Message_Omsg) ),
introduced(split_symbol_definition) ).
fof(f6896,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_H,tc_Message_Omsg)
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f6895]) ).
fof(f6900,plain,
( c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg)
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f6450,f6173]) ).
fof(f6901,plain,
( $false
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f6900,f6326]) ).
fof(f6902,plain,
~ spl0_7,
inference(contradiction_clause,[status(thm)],[f6901]) ).
fof(f6904,plain,
( ~ c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_H,tc_Message_Omsg)
| spl0_7 ),
inference(resolution,[status(thm)],[f6451,f6215]) ).
fof(f6975,plain,
( spl0_18
<=> c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg) ),
introduced(split_symbol_definition) ).
fof(f6976,plain,
( c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg)
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f6975]) ).
fof(f6978,plain,
( 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)
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f6234,f6447]) ).
fof(f6979,plain,
( spl0_18
| spl0_15
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f6978,f6975,f6895,f6446]) ).
fof(f6980,plain,
( $false
| spl0_7
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f6896,f6904]) ).
fof(f6981,plain,
( spl0_7
| ~ spl0_15 ),
inference(contradiction_clause,[status(thm)],[f6980]) ).
fof(f6982,plain,
( $false
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f6976,f6334]) ).
fof(f6983,plain,
~ spl0_18,
inference(contradiction_clause,[status(thm)],[f6982]) ).
fof(f6984,plain,
$false,
inference(sat_refutation,[status(thm)],[f6453,f6902,f6979,f6981,f6983]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWV270-1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n011.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue May 30 11:37:57 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.16/0.41 % Drodi V3.5.1
% 0.16/0.44 % Refutation found
% 0.16/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.37/0.70 % Elapsed time: 0.150551 seconds
% 0.37/0.70 % CPU time: 0.151207 seconds
% 0.37/0.70 % Memory used: 21.529 MB
%------------------------------------------------------------------------------