%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV799-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 02:49:34 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.60s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 13 unt; 0 def)
% Number of atoms : 23 ( 5 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 7 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 10 con; 0-3 aty)
% Number of variables : 34 ( 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f348,axiom,
! [V_x,V_A,T_a] : hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f381,axiom,
! [V_a,V_A,T_a] :
( ~ c_in(V_a,V_A,T_a)
| c_Set_Oinsert(V_a,V_A,T_a) = V_A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f416,axiom,
! [V_K,V_X,V_B] : ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f424,axiom,
! [V_A] : c_Event_Oknows(V_A,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(V_A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f582,axiom,
! [V_x,V_S,T_a] :
( ~ hBOOL(hAPP(V_S,V_x))
| c_in(V_x,V_S,T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f603,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1116,plain,
! [X0,X1,X2] : hBOOL(hAPP(c_Set_Oinsert(X0,X1,X2),X0)),
inference(cnf_transformation,[status(thm)],[f348]) ).
fof(f1160,plain,
! [X0,X1,X2] :
( ~ c_in(X0,X1,X2)
| c_Set_Oinsert(X0,X1,X2) = X1 ),
inference(cnf_transformation,[status(thm)],[f381]) ).
fof(f1217,plain,
! [X0,X1,X2] : ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(c_Event_OinitState(X2)),tc_Message_Omsg),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f1232,plain,
! [X0] : c_Event_Oknows(X0,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(X0),
inference(cnf_transformation,[status(thm)],[f424]) ).
fof(f1455,plain,
! [V_x,V_S] :
( ~ hBOOL(hAPP(V_S,V_x))
| ! [T_a] : c_in(V_x,V_S,T_a) ),
inference(miniscoping,[status(thm)],[f582]) ).
fof(f1456,plain,
! [X0,X1,X2] :
( ~ hBOOL(hAPP(X1,X0))
| c_in(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f1455]) ).
fof(f1482,plain,
c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg),
inference(cnf_transformation,[status(thm)],[f603]) ).
fof(f1790,plain,
c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Event_OinitState(c_Message_Oagent_OSpy)),tc_Message_Omsg),
inference(backward_demodulation,[status(thm)],[f1232,f1482]) ).
fof(f1875,plain,
c_Set_Oinsert(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Event_OinitState(c_Message_Oagent_OSpy)),tc_Message_Omsg) = c_Message_Oparts(c_Event_OinitState(c_Message_Oagent_OSpy)),
inference(resolution,[status(thm)],[f1160,f1790]) ).
fof(f1890,plain,
! [X0,X1,X2,X3] : c_in(X0,c_Set_Oinsert(X0,X1,X2),X3),
inference(resolution,[status(thm)],[f1456,f1116]) ).
fof(f1987,plain,
! [X0] : c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Event_OinitState(c_Message_Oagent_OSpy)),X0),
inference(paramodulation,[status(thm)],[f1875,f1890]) ).
fof(f3415,plain,
$false,
inference(resolution,[status(thm)],[f1217,f1987]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV799-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.38 % Computer : n018.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Mon Sep 21 09:27:44 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.16/0.49 % Drodi V4.1.1
% 0.16/0.60 % Refutation found
% 0.16/0.60 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.66 % Elapsed time: 0.252482 seconds
% 0.16/0.66 % CPU time: 0.966522 seconds
% 0.16/0.66 % Total memory used: 150.322 MB
% 0.16/0.66 % Net memory used: 149.639 MB
%------------------------------------------------------------------------------