%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV277-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 0.14s 10.77s
% Output : CNFRefutation 0.14s
% 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(f108,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(f2891,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(f2892,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(f2897,negated_conjecture,
~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2898,negated_conjecture,
c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3038,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)],[f108]) ).
fof(f3039,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)],[f3038]) ).
fof(f6436,plain,
! [X0] : c_lessequals(c_Message_Oanalz(X0),c_Message_Oparts(X0),tc_set(tc_Message_Omsg)),
inference(cnf_transformation,[status(thm)],[f2891]) ).
fof(f6437,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)],[f2892]) ).
fof(f6443,plain,
~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat),
inference(cnf_transformation,[status(thm)],[f2897]) ).
fof(f6444,plain,
c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat),
inference(cnf_transformation,[status(thm)],[f2898]) ).
fof(f6858,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)],[f6437,f6436]) ).
fof(f8654,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)],[f3039,f6444]) ).
fof(f8691,plain,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat),
inference(resolution,[status(thm)],[f8654,f6858]) ).
fof(f8693,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f8691,f6443]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV277-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/10.37 % Computer : n010.cluster.edu
% 0.11/10.37 % Model : x86_64 x86_64
% 0.11/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.37 % Memory : 8046.5625MB
% 0.11/10.37 % OS : Linux 6.8.0-71-generic
% 0.11/10.37 % CPULimit : 300
% 0.11/10.37 % WCLimit : 300
% 0.11/10.37 % DateTime : Mon Sep 21 08:38:20 UTC 2026
% 0.11/10.37 % CPUTime :
% 0.14/10.49 % Drodi V4.1.1
% 0.14/10.77 % Refutation found
% 0.14/10.77 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/10.77 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/10.78 % Elapsed time: 0.402740 seconds
% 0.14/10.78 % CPU time: 2.121734 seconds
% 0.14/10.78 % Total memory used: 265.270 MB
% 0.14/10.78 % Net memory used: 263.471 MB
%------------------------------------------------------------------------------