TSTP Solution File: SWV272-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV272-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 12:41:08 EDT 2023
% Result : Unsatisfiable 0.16s 0.49s
% Output : CNFRefutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of formulae : 44 ( 10 unt; 0 def)
% Number of atoms : 85 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 76 ( 35 ~; 37 |; 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 : 58 (; 58 !; 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(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(f2773,axiom,
! [V_K,V_X,V_H] :
( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),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_OCrypt(V_K,V_X),V_H,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2823,axiom,
! [V_K,V_X,V_H] :
( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),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(f2827,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_K,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(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(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(f6221,plain,
! [X0,X1,X2] :
( ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg) ),
inference(cnf_transformation,[status(esa)],[f2773]) ).
fof(f6279,plain,
! [V_X,V_H] :
( ! [V_K] : ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg)
| c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ),
inference(miniscoping,[status(esa)],[f2823]) ).
fof(f6280,plain,
! [X0,X1,X2] :
( ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(cnf_transformation,[status(esa)],[f6279]) ).
fof(f6284,plain,
c_in(c_Message_Omsg_OCrypt(v_K,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)],[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_OCrypt(v_K,v_X),c_Message_Osynth(v_H),tc_Message_Omsg) ),
introduced(split_symbol_definition) ).
fof(f6447,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),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_OCrypt(v_K,v_X),c_Message_Oparts(v_H),tc_Message_Omsg) ),
introduced(split_symbol_definition) ).
fof(f6450,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oparts(v_H),tc_Message_Omsg)
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f6449]) ).
fof(f6452,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(v_K,v_X),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(f6730,plain,
( spl0_10
<=> c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg) ),
introduced(split_symbol_definition) ).
fof(f6731,plain,
( c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg)
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f6730]) ).
fof(f6733,plain,
( spl0_11
<=> c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_H,tc_Message_Omsg) ),
introduced(split_symbol_definition) ).
fof(f6734,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_H,tc_Message_Omsg)
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f6733]) ).
fof(f6736,plain,
( c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_H,tc_Message_Omsg)
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f6221,f6447]) ).
fof(f6737,plain,
( spl0_10
| spl0_11
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f6736,f6730,f6733,f6446]) ).
fof(f6882,plain,
( $false
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f6731,f6334]) ).
fof(f6883,plain,
~ spl0_10,
inference(contradiction_clause,[status(thm)],[f6882]) ).
fof(f7024,plain,
! [X0,X1,X2] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X2,X0),X1,tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f6280,f6215]) ).
fof(f7088,plain,
( c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg)
| ~ spl0_11 ),
inference(resolution,[status(thm)],[f7024,f6734]) ).
fof(f7089,plain,
( $false
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f7088,f6326]) ).
fof(f7090,plain,
~ spl0_11,
inference(contradiction_clause,[status(thm)],[f7089]) ).
fof(f7115,plain,
( c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg)
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f6450,f6280]) ).
fof(f7116,plain,
( $false
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f7115,f6326]) ).
fof(f7117,plain,
~ spl0_7,
inference(contradiction_clause,[status(thm)],[f7116]) ).
fof(f7118,plain,
$false,
inference(sat_refutation,[status(thm)],[f6453,f6737,f6883,f7090,f7117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : SWV272-1 : TPTP v8.1.2. Released v3.2.0.
% 0.02/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33 % Computer : n028.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Tue May 30 11:56:17 EDT 2023
% 0.10/0.33 % CPUTime :
% 0.16/0.43 % Drodi V3.5.1
% 0.16/0.49 % Refutation found
% 0.16/0.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.37/0.55 % Elapsed time: 0.210814 seconds
% 0.37/0.55 % CPU time: 0.298333 seconds
% 0.37/0.55 % Memory used: 85.010 MB
%------------------------------------------------------------------------------