TSTP Solution File: SWV258-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV258-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 : Tue Apr 30 20:46:25 EDT 2024
% Result : Unsatisfiable 0.20s 0.52s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 11 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 17 ~; 14 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f112,axiom,
! [V_A,T_a] : c_lessequals(V_A,V_A,tc_set(T_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2690,axiom,
! [V_x,V_B,T_a,V_A] :
( ~ c_in(V_x,V_B,T_a)
| ~ c_lessequals(V_A,V_B,tc_set(T_a))
| c_lessequals(c_insert(V_x,V_A,T_a),V_B,tc_set(T_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2776,axiom,
! [V_G,V_H] :
( ~ c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_set(tc_Message_Omsg))
| c_lessequals(V_G,c_Message_Oparts(V_H),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2777,axiom,
! [V_G,V_H] :
( ~ c_lessequals(V_G,c_Message_Oparts(V_H),tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2778,negated_conjecture,
c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2779,negated_conjecture,
~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2924,plain,
! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
inference(cnf_transformation,[status(esa)],[f112]) ).
fof(f6073,plain,
! [X0,X1,X2,X3] :
( ~ c_in(X0,X1,X2)
| ~ c_lessequals(X3,X1,tc_set(X2))
| c_lessequals(c_insert(X0,X3,X2),X1,tc_set(X2)) ),
inference(cnf_transformation,[status(esa)],[f2690]) ).
fof(f6177,plain,
! [X0,X1] :
( ~ c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
| c_lessequals(X0,c_Message_Oparts(X1),tc_set(tc_Message_Omsg)) ),
inference(cnf_transformation,[status(esa)],[f2776]) ).
fof(f6178,plain,
! [X0,X1] :
( ~ c_lessequals(X0,c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg)) ),
inference(cnf_transformation,[status(esa)],[f2777]) ).
fof(f6179,plain,
c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
inference(cnf_transformation,[status(esa)],[f2778]) ).
fof(f6180,plain,
~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
inference(cnf_transformation,[status(esa)],[f2779]) ).
fof(f6324,plain,
! [X0] : c_lessequals(X0,c_Message_Oparts(X0),tc_set(tc_Message_Omsg)),
inference(resolution,[status(thm)],[f6177,f2924]) ).
fof(f6457,plain,
~ c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
inference(resolution,[status(thm)],[f6178,f6180]) ).
fof(f6478,plain,
( spl0_5
<=> c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg) ),
introduced(split_symbol_definition) ).
fof(f6480,plain,
( ~ c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg)
| spl0_5 ),
inference(component_clause,[status(thm)],[f6478]) ).
fof(f6481,plain,
( spl0_6
<=> c_lessequals(v_H,c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)) ),
introduced(split_symbol_definition) ).
fof(f6483,plain,
( ~ c_lessequals(v_H,c_Message_Oparts(v_H),tc_set(tc_Message_Omsg))
| spl0_6 ),
inference(component_clause,[status(thm)],[f6481]) ).
fof(f6484,plain,
( ~ c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg)
| ~ c_lessequals(v_H,c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[f6457,f6073]) ).
fof(f6485,plain,
( ~ spl0_5
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f6484,f6478,f6481]) ).
fof(f6486,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f6480,f6179]) ).
fof(f6487,plain,
spl0_5,
inference(contradiction_clause,[status(thm)],[f6486]) ).
fof(f6488,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f6483,f6324]) ).
fof(f6489,plain,
spl0_6,
inference(contradiction_clause,[status(thm)],[f6488]) ).
fof(f6490,plain,
$false,
inference(sat_refutation,[status(thm)],[f6485,f6487,f6489]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV258-1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Apr 30 00:54:49 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.20/0.45 % Drodi V3.6.0
% 0.20/0.52 % Refutation found
% 0.20/0.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.67/0.56 % Elapsed time: 0.209655 seconds
% 0.67/0.56 % CPU time: 0.673775 seconds
% 0.67/0.56 % Total memory used: 178.232 MB
% 0.67/0.56 % Net memory used: 177.685 MB
%------------------------------------------------------------------------------