%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV239-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 02:46:58 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.38s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 7 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 11 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 37 ( 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
~ c_lessequals(c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [V_X,V_H] :
( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
| ~ c_in(V_X,c_Message_Oanalz(c_Message_Oanalz(V_H)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [V_H,V_H_H,V_G,V_G_H] :
( c_lessequals(c_Message_Oanalz(c_union(V_G,V_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(V_G_H,V_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_G_H),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(V_H),c_Message_Oanalz(V_H_H),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [V_A,V_B,T_a] :
( c_lessequals(V_A,V_B,tc_set(T_a))
| c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_A,T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [V_A,V_B,T_a] :
( c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_B,T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [V_A,T_a] : c_lessequals(V_A,V_A,tc_set(T_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,plain,
~ c_lessequals(c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f8,plain,
! [X0,X1] :
( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(c_Message_Oanalz(X1)),tc_Message_Omsg) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f9,plain,
! [X0,X1,X2,X3] :
( c_lessequals(c_Message_Oanalz(c_union(X2,X0,tc_Message_Omsg)),c_Message_Oanalz(c_union(X3,X1,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(X2),c_Message_Oanalz(X3),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg)) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f10,plain,
! [X0,X1,X2] :
( c_lessequals(X0,X1,tc_set(X2))
| c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f11,plain,
! [X0,X1,X2] :
( c_lessequals(X0,X1,tc_set(X2))
| ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f12,plain,
! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f17,plain,
! [X0,X1] :
( c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X0)),X1,tc_set(tc_Message_Omsg))
| c_in(c_Main_OsubsetI__1(c_Message_Oanalz(c_Message_Oanalz(X0)),X1,tc_Message_Omsg),c_Message_Oanalz(X0),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f8,f10]) ).
fof(f18,plain,
! [X0] :
( c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X0)),c_Message_Oanalz(X0),tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X0)),c_Message_Oanalz(X0),tc_set(tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[f17,f11]) ).
fof(f20,plain,
! [X0] : c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X0)),c_Message_Oanalz(X0),tc_set(tc_Message_Omsg)),
inference(duplicate_literals_removal,[status(thm)],[f18]) ).
fof(f22,plain,
! [X0,X1,X2] :
( c_lessequals(c_Message_Oanalz(c_union(c_Message_Oanalz(X2),X0,tc_Message_Omsg)),c_Message_Oanalz(c_union(X2,X1,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[f20,f9]) ).
fof(f27,plain,
! [X0,X1] : c_lessequals(c_Message_Oanalz(c_union(c_Message_Oanalz(X0),X1,tc_Message_Omsg)),c_Message_Oanalz(c_union(X0,X1,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(resolution,[status(thm)],[f22,f12]) ).
fof(f32,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f7,f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV239-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n011.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 08:35:26 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.08/0.38 % Refutation found
% 0.08/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.41 % Elapsed time: 0.044165 seconds
% 0.13/0.41 % CPU time: 0.111767 seconds
% 0.13/0.41 % Total memory used: 16.754 MB
% 0.13/0.41 % Net memory used: 16.196 MB
%------------------------------------------------------------------------------