%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV789-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : 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 02:49:33 PM UTC 2026
% Result : Unsatisfiable 0.31s 0.48s
% Output : CNFRefutation 0.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 9 unt; 0 def)
% Number of atoms : 23 ( 8 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 9 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 5 con; 0-3 aty)
% Number of variables : 40 ( 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f341,axiom,
! [V_agent1,V_agent2,V_msg,V_agent_H,V_msg_H] : c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f562,axiom,
! [V_P,T_a] : c_List_OtakeWhile(V_P,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f598,axiom,
! [V_P,V_x,V_xs,T_a] :
( ~ c_in(V_x,c_List_Oset(c_List_OtakeWhile(V_P,V_xs,T_a),T_a),T_a)
| hBOOL(hAPP(V_P,V_x)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f605,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_B,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f631,axiom,
! [V_X,V_Y,T_a] :
( ~ hBOOL(hAPP(hAPP(c_fequal(T_a),V_X),V_Y))
| V_X = V_Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1119,plain,
! [X0,X1,X2,X3,X4] : c_Event_Oevent_OSays(X0,X1,X2) != c_Event_Oevent_ONotes(X3,X4),
inference(cnf_transformation,[status(thm)],[f341]) ).
fof(f1426,plain,
! [X0,X1] : c_List_OtakeWhile(X0,c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
inference(cnf_transformation,[status(thm)],[f562]) ).
fof(f1475,plain,
! [V_P,V_x] :
( ! [V_xs,T_a] : ~ c_in(V_x,c_List_Oset(c_List_OtakeWhile(V_P,V_xs,T_a),T_a),T_a)
| hBOOL(hAPP(V_P,V_x)) ),
inference(miniscoping,[status(thm)],[f598]) ).
fof(f1476,plain,
! [X0,X1,X2,X3] :
( ~ c_in(X1,c_List_Oset(c_List_OtakeWhile(X0,X2,X3),X3),X3)
| hBOOL(hAPP(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f1475]) ).
fof(f1483,plain,
c_in(c_Event_Oevent_OSays(v_B,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),
inference(cnf_transformation,[status(thm)],[f605]) ).
fof(f1516,plain,
! [V_X,V_Y] :
( ! [T_a] : ~ hBOOL(hAPP(hAPP(c_fequal(T_a),V_X),V_Y))
| V_X = V_Y ),
inference(miniscoping,[status(thm)],[f631]) ).
fof(f1517,plain,
! [X0,X1,X2] :
( ~ hBOOL(hAPP(hAPP(c_fequal(X2),X0),X1))
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f1516]) ).
fof(f1971,plain,
! [X0,X1,X2] :
( ~ c_in(X1,c_List_Oset(c_List_Olist_ONil(X2),X2),X2)
| hBOOL(hAPP(X0,X1)) ),
inference(paramodulation,[status(thm)],[f1426,f1476]) ).
fof(f1972,plain,
! [X0] : hBOOL(hAPP(X0,c_Event_Oevent_OSays(v_B,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb))))),
inference(resolution,[status(thm)],[f1971,f1483]) ).
fof(f2050,plain,
! [X0] : X0 = c_Event_Oevent_OSays(v_B,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb))),
inference(resolution,[status(thm)],[f1972,f1517]) ).
fof(f2056,plain,
$false,
inference(resolution,[status(thm)],[f2050,f1119]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV789-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n001.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 09:30:44 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.41 % Drodi V4.1.1
% 0.31/0.48 % Refutation found
% 0.31/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.31/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.31/0.50 % Elapsed time: 0.127801 seconds
% 0.31/0.50 % CPU time: 0.414088 seconds
% 0.31/0.50 % Total memory used: 141.791 MB
% 0.31/0.50 % Net memory used: 141.294 MB
%------------------------------------------------------------------------------