%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV277-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 02:47:08 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.47s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 9 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-1 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [V_H] : c_lessequals(c_Message_Oanalz(V_H),c_Message_Oparts(V_H),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [V_G,V_H] :
( c_lessequals(c_Message_OkeysFor(V_G),c_Message_OkeysFor(V_H),tc_set(tc_nat))
| ~ c_lessequals(V_G,V_H,tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [V_c,V_A,T_a,V_B] :
( c_in(V_c,V_B,T_a)
| ~ c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_in(V_c,V_A,T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0] : c_lessequals(c_Message_Oanalz(X0),c_Message_Oparts(X0),tc_set(tc_Message_Omsg)),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f7,plain,
! [X0,X1] :
( c_lessequals(c_Message_OkeysFor(X0),c_Message_OkeysFor(X1),tc_set(tc_nat))
| ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg)) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f8,plain,
! [V_c,T_a,V_B] :
( c_in(V_c,V_B,T_a)
| ! [V_A] :
( ~ c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_in(V_c,V_A,T_a) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f9,plain,
! [X0,X1,X2,X3] :
( c_in(X0,X3,X2)
| ~ c_lessequals(X1,X3,tc_set(X2))
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f10,plain,
~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f11,plain,
c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f12,plain,
! [X0] : c_lessequals(c_Message_OkeysFor(c_Message_Oanalz(X0)),c_Message_OkeysFor(c_Message_Oparts(X0)),tc_set(tc_nat)),
inference(resolution,[status(thm)],[f7,f6]) ).
fof(f13,plain,
! [X0] :
( c_in(v_K,X0,tc_nat)
| ~ c_lessequals(c_Message_OkeysFor(c_Message_Oanalz(v_H)),X0,tc_set(tc_nat)) ),
inference(resolution,[status(thm)],[f9,f11]) ).
fof(f14,plain,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat),
inference(resolution,[status(thm)],[f13,f12]) ).
fof(f15,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f14,f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV277-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n005.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Mon Sep 21 08:37:47 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.44 % Drodi V4.1.1
% 0.16/0.47 % Refutation found
% 0.16/0.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.49 % Elapsed time: 0.053627 seconds
% 0.16/0.49 % CPU time: 0.146364 seconds
% 0.16/0.49 % Total memory used: 34.599 MB
% 0.16/0.49 % Net memory used: 34.276 MB
%------------------------------------------------------------------------------