%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV258-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:47:03 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.66s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 11 unt; 2 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_lessequals(c_insert(V_x,V_A,T_a),V_B,tc_set(T_a))
| ~ c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_in(V_x,V_B,T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2776,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(f2777,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(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(thm)],[f112]) ).
fof(f6073,plain,
! [X0,X1,X2,X3] :
( c_lessequals(c_insert(X0,X3,X2),X1,tc_set(X2))
| ~ c_lessequals(X3,X1,tc_set(X2))
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f2690]) ).
fof(f6177,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(thm)],[f2776]) ).
fof(f6178,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(thm)],[f2777]) ).
fof(f6179,plain,
c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
inference(cnf_transformation,[status(thm)],[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(thm)],[f2779]) ).
fof(f6356,plain,
! [X0] : c_lessequals(X0,c_Message_Oparts(X0),tc_set(tc_Message_Omsg)),
inference(resolution,[status(thm)],[f6177,f2924]) ).
fof(f6373,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(f6383,plain,
( ~ c_lessequals(v_H,c_Message_Oparts(v_H),tc_set(tc_Message_Omsg))
| ~ c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f6373,f6073]) ).
fof(f6384,definition,
( sQ2_spl
<=> c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f6386,plain,
( sQ2_spl
| ~ c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg) ),
inference(component_clause,[status(thm)],[f6384]) ).
fof(f6387,definition,
( sQ3_spl
<=> c_lessequals(v_H,c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f6389,plain,
( sQ3_spl
| ~ c_lessequals(v_H,c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)) ),
inference(component_clause,[status(thm)],[f6387]) ).
fof(f6390,plain,
( ~ sQ3_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f6383,f6384,f6387]) ).
fof(f6391,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6386,f6179]) ).
fof(f6392,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f6391]) ).
fof(f6393,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6389,f6356]) ).
fof(f6394,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f6393]) ).
fof(f6395,plain,
$false,
inference(sat_refutation,[status(thm)],[f6390,f6392,f6394]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV258-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.57 % Computer : n020.cluster.edu
% 0.10/0.57 % Model : x86_64 x86_64
% 0.10/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.57 % Memory : 8046.5625MB
% 0.10/0.57 % OS : Linux 6.8.0-71-generic
% 0.10/0.57 % CPULimit : 300
% 0.10/0.57 % WCLimit : 300
% 0.10/0.57 % DateTime : Mon Sep 21 08:37:18 UTC 2026
% 0.10/0.57 % CPUTime :
% 0.10/0.62 % Drodi V4.1.1
% 0.14/0.66 % Refutation found
% 0.14/0.66 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.66 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.72 % Elapsed time: 0.144140 seconds
% 0.14/0.72 % CPU time: 0.391635 seconds
% 0.14/0.72 % Total memory used: 217.992 MB
% 0.14/0.72 % Net memory used: 216.976 MB
%------------------------------------------------------------------------------