%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV279-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 184.90s 24.07s
% Output : CNFRefutation 138.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 34 ( 10 unt; 0 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 59 ( 31 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 71 ( 71 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f106,axiom,
! [V_a,T_a] : c_in(V_a,c_insert(V_a,c_emptyset,T_a),T_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
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/sandbox/benchmark/theBenchmark.p') ).
fof(f2728,axiom,
! [V_X,V_Y,V_H] :
( c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2729,axiom,
! [V_X,V_Y,V_H] :
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2847,axiom,
! [V_X,V_H] :
( c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg)
| ~ c_in(V_X,V_H,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2852,axiom,
! [V_X,V_H] :
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2916,axiom,
! [V_X,V_evs] :
( c_lessequals(c_Message_Oparts(c_insert(V_X,c_emptyset,tc_Message_Omsg)),c_Event_Oused(V_evs),tc_set(tc_Message_Omsg))
| ~ c_in(V_X,c_Event_Oused(V_evs),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2917,negated_conjecture,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Event_Oused(v_H),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2918,negated_conjecture,
( ~ c_in(v_X,c_Event_Oused(v_H),tc_Message_Omsg)
| ~ c_in(v_Y,c_Event_Oused(v_H),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3054,plain,
! [X0,X1] : c_in(X0,c_insert(X0,c_emptyset,X1),X1),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f3057,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(f3058,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)],[f3057]) ).
fof(f6260,plain,
! [V_Y,V_H] :
( c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg)
| ! [V_X] : ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) ),
inference(miniscoping,[status(thm)],[f2728]) ).
fof(f6261,plain,
! [X0,X1,X2] :
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(cnf_transformation,[status(thm)],[f6260]) ).
fof(f6262,plain,
! [V_X,V_H] :
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ! [V_Y] : ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) ),
inference(miniscoping,[status(thm)],[f2729]) ).
fof(f6263,plain,
! [X0,X1,X2] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X2),c_Message_Oparts(X1),tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[status(thm)],[f6262]) ).
fof(f6408,plain,
! [X0,X1] :
( ~ c_in(X0,X1,tc_Message_Omsg)
| c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[status(thm)],[f2847]) ).
fof(f6415,plain,
! [X0,X1] :
( ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[status(thm)],[f2852]) ).
fof(f6482,plain,
! [X0,X1] :
( ~ c_in(X0,c_Event_Oused(X1),tc_Message_Omsg)
| c_lessequals(c_Message_Oparts(c_insert(X0,c_emptyset,tc_Message_Omsg)),c_Event_Oused(X1),tc_set(tc_Message_Omsg)) ),
inference(cnf_transformation,[status(thm)],[f2916]) ).
fof(f6483,plain,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Event_Oused(v_H),tc_Message_Omsg),
inference(cnf_transformation,[status(thm)],[f2917]) ).
fof(f6484,plain,
( ~ c_in(v_Y,c_Event_Oused(v_H),tc_Message_Omsg)
| ~ c_in(v_X,c_Event_Oused(v_H),tc_Message_Omsg) ),
inference(cnf_transformation,[status(thm)],[f2918]) ).
fof(f12548,plain,
! [X0,X1,X2] :
( c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f6415,f6263]) ).
fof(f12549,plain,
! [X0,X1,X2] :
( ~ c_in(c_Message_Omsg_OMPair(X2,X0),c_Message_Oanalz(X1),tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f6415,f6261]) ).
fof(f13928,plain,
! [X0,X1,X2] :
( c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f12548,f6408]) ).
fof(f14629,plain,
! [X0,X1,X2] :
( ~ c_in(c_Message_Omsg_OMPair(X2,X0),X1,tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f12549,f6408]) ).
fof(f22985,plain,
! [X0,X1] : c_in(X0,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(X1,X0),c_emptyset,tc_Message_Omsg)),tc_Message_Omsg),
inference(resolution,[status(thm)],[f3054,f14629]) ).
fof(f22986,plain,
! [X0,X1] : c_in(X0,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(X0,X1),c_emptyset,tc_Message_Omsg)),tc_Message_Omsg),
inference(resolution,[status(thm)],[f3054,f13928]) ).
fof(f26228,plain,
! [X0,X1,X2] :
( ~ c_in(X2,c_Message_Oparts(c_insert(X0,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X2,c_Event_Oused(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Event_Oused(X1),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f3058,f6482]) ).
fof(f28871,plain,
! [X0,X1,X2] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X2),c_Event_Oused(X1),tc_Message_Omsg)
| c_in(X0,c_Event_Oused(X1),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f22986,f26228]) ).
fof(f29474,plain,
! [X0,X1,X2] :
( ~ c_in(c_Message_Omsg_OMPair(X2,X0),c_Event_Oused(X1),tc_Message_Omsg)
| c_in(X0,c_Event_Oused(X1),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f22985,f26228]) ).
fof(f52776,plain,
c_in(v_X,c_Event_Oused(v_H),tc_Message_Omsg),
inference(resolution,[status(thm)],[f28871,f6483]) ).
fof(f52780,plain,
~ c_in(v_Y,c_Event_Oused(v_H),tc_Message_Omsg),
inference(backward_subsumption_resolution,[status(thm)],[f6484,f52776]) ).
fof(f52786,plain,
c_in(v_Y,c_Event_Oused(v_H),tc_Message_Omsg),
inference(resolution,[status(thm)],[f29474,f6483]) ).
fof(f52790,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f52786,f52780]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV279-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n001.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Mon Sep 21 08:43:28 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.37/0.64 % Drodi V4.1.1
% 184.90/24.07 % Refutation found
% 184.90/24.07 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 184.90/24.07 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 172.86/25.32 % Elapsed time: 24.658746 seconds
% 172.86/25.32 % CPU time: 182.284327 seconds
% 172.86/25.32 % Total memory used: 2.061 GB
% 172.86/25.32 % Net memory used: 2.044 GB
%------------------------------------------------------------------------------