%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV339-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 02:47:23 PM UTC 2026
% Result : Unsatisfiable 0.24s 0.56s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 7 unt; 2 def)
% Number of atoms : 29 ( 8 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 21 ( 10 ~; 9 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-1 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2926,axiom,
! [V_A,V_evs] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oused(V_evs),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2948,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2950,negated_conjecture,
( v_K = c_Public_OshrK(v_A)
| v_K = c_Public_OshrK(v_B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6528,plain,
! [X0,X1] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Event_Oused(X1),tc_Message_Omsg),
inference(cnf_transformation,[status(thm)],[f2926]) ).
fof(f6557,plain,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
inference(cnf_transformation,[status(thm)],[f2948]) ).
fof(f6559,plain,
( v_K = c_Public_OshrK(v_A)
| v_K = c_Public_OshrK(v_B) ),
inference(cnf_transformation,[status(thm)],[f2950]) ).
fof(f6575,definition,
( sQ4_spl
<=> v_K = c_Public_OshrK(v_B) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f6576,plain,
( ~ sQ4_spl
| v_K = c_Public_OshrK(v_B) ),
inference(component_clause,[status(thm)],[f6575]) ).
fof(f6578,definition,
( sQ5_spl
<=> v_K = c_Public_OshrK(v_A) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f6579,plain,
( ~ sQ5_spl
| v_K = c_Public_OshrK(v_A) ),
inference(component_clause,[status(thm)],[f6578]) ).
fof(f6581,plain,
( sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f6559,f6575,f6578]) ).
fof(f6697,plain,
! [X0] :
( ~ sQ4_spl
| c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(X0),tc_Message_Omsg) ),
inference(paramodulation,[status(thm)],[f6576,f6528]) ).
fof(f6698,plain,
( ~ sQ4_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f6557,f6697]) ).
fof(f6699,plain,
~ sQ4_spl,
inference(contradiction_clause,[status(thm)],[f6698]) ).
fof(f6714,plain,
! [X0] :
( ~ sQ5_spl
| c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(X0),tc_Message_Omsg) ),
inference(paramodulation,[status(thm)],[f6579,f6528]) ).
fof(f6723,plain,
( ~ sQ5_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f6557,f6714]) ).
fof(f6724,plain,
~ sQ5_spl,
inference(contradiction_clause,[status(thm)],[f6723]) ).
fof(f6725,plain,
$false,
inference(sat_refutation,[status(thm)],[f6581,f6699,f6724]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV339-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n026.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 08:44:24 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.24/0.50 % Drodi V4.1.1
% 0.24/0.56 % Refutation found
% 0.24/0.56 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.24/0.56 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.24/0.59 % Elapsed time: 0.213851 seconds
% 0.24/0.59 % CPU time: 0.468195 seconds
% 0.24/0.59 % Total memory used: 225.564 MB
% 0.24/0.59 % Net memory used: 224.517 MB
%------------------------------------------------------------------------------