%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV339-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : 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 02:47:23 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.37s
% Output : CNFRefutation 0.09s
% 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(f1,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
( v_K = c_Public_OshrK(v_A)
| v_K = c_Public_OshrK(v_B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,plain,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f5,plain,
( v_K = c_Public_OshrK(v_A)
| v_K = c_Public_OshrK(v_B) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f6,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)],[f3]) ).
fof(f7,definition,
( sQ0_spl
<=> v_K = c_Public_OshrK(v_B) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f8,plain,
( ~ sQ0_spl
| v_K = c_Public_OshrK(v_B) ),
inference(component_clause,[status(thm)],[f7]) ).
fof(f10,definition,
( sQ1_spl
<=> v_K = c_Public_OshrK(v_A) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f11,plain,
( ~ sQ1_spl
| v_K = c_Public_OshrK(v_A) ),
inference(component_clause,[status(thm)],[f10]) ).
fof(f13,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f5,f7,f10]) ).
fof(f14,plain,
! [X0] :
( ~ sQ0_spl
| c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(X0),tc_Message_Omsg) ),
inference(paramodulation,[status(thm)],[f8,f6]) ).
fof(f15,plain,
( ~ sQ0_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f4,f14]) ).
fof(f16,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f15]) ).
fof(f17,plain,
! [X0] :
( ~ sQ1_spl
| c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(X0),tc_Message_Omsg) ),
inference(paramodulation,[status(thm)],[f11,f6]) ).
fof(f18,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4,f17]) ).
fof(f19,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f18]) ).
fof(f20,plain,
$false,
inference(sat_refutation,[status(thm)],[f13,f16,f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV339-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n001.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 08:47:29 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.09/0.37 % Refutation found
% 0.09/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.41 % Elapsed time: 0.044840 seconds
% 0.13/0.41 % CPU time: 0.060918 seconds
% 0.13/0.41 % Total memory used: 2.489 MB
% 0.13/0.41 % Net memory used: 2.476 MB
%------------------------------------------------------------------------------