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FindProof---0.1.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : SWV314-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300

% Computer : n011.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 : Fri Sep 25 03:12:52 PM UTC 2026

% Result   : Unsatisfiable 0.22s 15.85s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   28 (  28 unt;   0 def)
%            Number of atoms       :   28 (  15 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   19 (  19   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   2 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   17 (  17 usr;  12 con; 0-2 aty)
%            Number of variables   :    2 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(f3,negated_conjecture,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f3_nnf,plain,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    inference(nnf_transformation,[status(thm)],[f3]) ).

fof(f3_sk,plain,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    inference(skolemisation,[status(esa)],[f3_nnf]) ).

cnf(c3,plain,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    inference(cnf_transformation,[status(esa)],[f3_sk]) ).

cnf(t5,plain,
    c_in(v_B,c_Event_Obad,tc_Message_Oagent) = false,
    inference(equality_encoding,[status(esa)],[c3]) ).

cnf(t31,plain,
    c_in(v_B,c_Event_Obad,tc_Message_Oagent) = false,
    inference(orient,[status(thm)],[t5]) ).

cnf(t2,plain,
    or(false,X1) = X1,
    introduced(definition) ).

cnf(t17,plain,
    or(false,X1) = X1,
    inference(orient,[status(thm)],[t2]) ).

cnf(f2,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f2_nnf,plain,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    inference(nnf_transformation,[status(thm)],[f2]) ).

fof(f2_sk,plain,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    inference(skolemisation,[status(esa)],[f2_nnf]) ).

cnf(c2,plain,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    inference(cnf_transformation,[status(esa)],[f2_sk]) ).

cnf(t4,plain,
    c_in(v_A,c_Event_Obad,tc_Message_Oagent) = false,
    inference(equality_encoding,[status(esa)],[c2]) ).

cnf(t36,plain,
    c_in(v_A,c_Event_Obad,tc_Message_Oagent) = false,
    inference(orient,[status(thm)],[t4]) ).

cnf(f1,negated_conjecture,
    ~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f1_nnf,plain,
    ~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    inference(nnf_transformation,[status(thm)],[f1]) ).

fof(f1_sk,plain,
    ~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    inference(skolemisation,[status(esa)],[f1_nnf]) ).

cnf(c1,plain,
    ~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    inference(cnf_transformation,[status(esa)],[f1_sk]) ).

cnf(t11,plain,
    c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) = false,
    inference(equality_encoding,[status(esa)],[c1]) ).

cnf(t40,plain,
    c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) = false,
    inference(orient,[status(thm)],[t11]) ).

cnf(goal_0,negated_conjecture,
    true != false,
    inference(equality_encoding,[status(esa)],[c1,c2,c3]) ).

cnf(g0_0,plain,
    true != or(c_in(v_B,c_Event_Obad,tc_Message_Oagent),or(c_in(v_A,c_Event_Obad,tc_Message_Oagent),c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent))),
    inference(rw,[status(thm)],[goal_0]) ).

cnf(g0_1,plain,
    true != or(false,or(c_in(v_A,c_Event_Obad,tc_Message_Oagent),c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent))),
    inference(rw,[status(thm)],[g0_0,t31]) ).

cnf(g0_2,plain,
    true != or(c_in(v_A,c_Event_Obad,tc_Message_Oagent),c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)),
    inference(rw,[status(thm)],[g0_1,t17]) ).

cnf(g0_3,plain,
    true != or(false,c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)),
    inference(rw,[status(thm)],[g0_2,t36]) ).

cnf(g0_4,plain,
    true != c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    inference(rw,[status(thm)],[g0_3,t17]) ).

cnf(g0_5,plain,
    c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) != c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    inference(rw,[status(thm)],[g0_4,t40]) ).

cnf(contradiction_0,plain,
    $false,
    inference(trivial_inequality_removal,[status(thm)],[g0_5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV314-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.34   % Computer : n011.cluster.edu
% 0.08/0.34   % Model    : x86_64 x86_64
% 0.08/0.34   % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34   % Memory   : 8046.5625MB
% 0.08/0.34   % OS       : Linux 6.8.0-71-generic
% 0.08/15.30  % CPULimit : 300
% 0.08/15.30  % WCLimit  : 300
% 0.08/15.30  % DateTime : Thu Sep 24 19:10:33 UTC 2026
% 0.08/15.30  % CPUTime  : 
% 0.08/15.30  Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.22/15.85  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/15.85  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------