%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV242-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 0.13s 0.42s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 11 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 20 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1372,axiom,
! [V_G,V_H] :
( c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_set(tc_Message_Omsg))
| ~ c_lessequals(V_G,V_H,tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1387,axiom,
! [V_A,V_B,T_a] : c_lessequals(V_A,c_union(V_A,V_B,T_a),tc_set(T_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1388,axiom,
! [V_B,V_A,T_a] : c_lessequals(V_B,c_union(V_A,V_B,T_a),tc_set(T_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1389,axiom,
! [V_B,V_C,T_a,V_A] :
( c_lessequals(V_A,V_C,tc_set(T_a))
| ~ c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_lessequals(V_B,V_C,tc_set(T_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1390,negated_conjecture,
c_lessequals(v_G,c_Message_Oanalz(v_G_H),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1391,negated_conjecture,
c_lessequals(v_H,c_Message_Oanalz(v_H_H),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1392,negated_conjecture,
( ~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2887,plain,
! [X0,X1] :
( c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg)) ),
inference(cnf_transformation,[status(thm)],[f1372]) ).
fof(f2908,plain,
! [X0,X1,X2] : c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)),
inference(cnf_transformation,[status(thm)],[f1387]) ).
fof(f2909,plain,
! [X0,X1,X2] : c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)),
inference(cnf_transformation,[status(thm)],[f1388]) ).
fof(f2910,plain,
! [V_C,T_a,V_A] :
( c_lessequals(V_A,V_C,tc_set(T_a))
| ! [V_B] :
( ~ c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_lessequals(V_B,V_C,tc_set(T_a)) ) ),
inference(miniscoping,[status(thm)],[f1389]) ).
fof(f2911,plain,
! [X0,X1,X2,X3] :
( c_lessequals(X3,X1,tc_set(X2))
| ~ c_lessequals(X3,X0,tc_set(X2))
| ~ c_lessequals(X0,X1,tc_set(X2)) ),
inference(cnf_transformation,[status(thm)],[f2910]) ).
fof(f2912,plain,
c_lessequals(v_G,c_Message_Oanalz(v_G_H),tc_set(tc_Message_Omsg)),
inference(cnf_transformation,[status(thm)],[f1390]) ).
fof(f2913,plain,
c_lessequals(v_H,c_Message_Oanalz(v_H_H),tc_set(tc_Message_Omsg)),
inference(cnf_transformation,[status(thm)],[f1391]) ).
fof(f2914,plain,
( ~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(cnf_transformation,[status(thm)],[f1392]) ).
fof(f2951,plain,
! [X0] :
( c_lessequals(v_H,X0,tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(v_H_H),X0,tc_set(tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[f2911,f2913]) ).
fof(f2952,plain,
! [X0] :
( c_lessequals(v_G,X0,tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(v_G_H),X0,tc_set(tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[f2911,f2912]) ).
fof(f3009,plain,
! [X0] :
( ~ c_lessequals(v_H_H,X0,tc_set(tc_Message_Omsg))
| c_lessequals(v_H,c_Message_Oanalz(X0),tc_set(tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[f2951,f2887]) ).
fof(f3023,plain,
! [X0] :
( ~ c_lessequals(v_G_H,X0,tc_set(tc_Message_Omsg))
| c_lessequals(v_G,c_Message_Oanalz(X0),tc_set(tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[f2952,f2887]) ).
fof(f3068,plain,
( ~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(v_H_H,c_union(v_G_H,v_H_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[f3009,f2914]) ).
fof(f3072,plain,
~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(forward_subsumption_resolution,[status(thm)],[f3068,f2909]) ).
fof(f3074,plain,
~ c_lessequals(v_G_H,c_union(v_G_H,v_H_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)),
inference(resolution,[status(thm)],[f3023,f3072]) ).
fof(f3078,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f3074,f2908]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV242-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n016.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 08:40:09 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.40 % Drodi V4.1.1
% 0.13/0.42 % Refutation found
% 0.13/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.46 % Elapsed time: 0.100738 seconds
% 0.13/0.46 % CPU time: 0.200775 seconds
% 0.13/0.46 % Total memory used: 44.034 MB
% 0.13/0.46 % Net memory used: 43.947 MB
%------------------------------------------------------------------------------