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FindProof---0.1.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : SWV781-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300

% Computer : n017.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 03:14:02 PM UTC 2026

% Result   : Unsatisfiable 19.32s 2.82s
% Output   : Proof 19.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   24
% Syntax   : Number of formulae    :  105 (  93 unt;   0 def)
%            Number of atoms       :  121 (  88 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  124 ( 108   ~;  16   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   23 (  23 usr;  10 con; 0-3 aty)
%            Number of variables   :  260 (  96 sgn 126   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(f519,axiom,
    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',cls_takeWhile_Osimps_I1_J_0) ).

fof(f519_nnf,plain,
    ! [V_P,T_a] : c_List_OtakeWhile(V_P,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a),
    inference(nnf_transformation,[status(thm)],[f519]) ).

fof(f519_sk,plain,
    ! [V_P,T_a] : c_List_OtakeWhile(V_P,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a),
    inference(skolemisation,[status(esa)],[f519_nnf]) ).

cnf(c519,plain,
    c_List_OtakeWhile(X0,c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
    inference(cnf_transformation,[status(esa)],[f519_sk]) ).

cnf(t22,plain,
    c_List_OtakeWhile(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
    inference(equality_encoding,[status(esa)],[c519]) ).

cnf(t1130,plain,
    c_List_OtakeWhile(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
    inference(orient,[status(thm)],[t22]) ).

cnf(f515,axiom,
    c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__refl_0) ).

fof(f515_nnf,plain,
    ! [V_A,T_a] : c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)),
    inference(nnf_transformation,[status(thm)],[f515]) ).

fof(f515_sk,plain,
    ! [V_A,T_a] : c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)),
    inference(skolemisation,[status(esa)],[f515_nnf]) ).

cnf(c515,plain,
    c_lessequals(X0,X0,tc_fun(X1,tc_bool)),
    inference(cnf_transformation,[status(esa)],[f515_sk]) ).

cnf(t23,plain,
    c_lessequals(X1,X1,tc_fun(X2,tc_bool)) = true,
    inference(equality_encoding,[status(esa)],[c515]) ).

cnf(t440,plain,
    c_lessequals(X1,X1,tc_fun(X2,tc_bool)) = true,
    inference(orient,[status(thm)],[t23]) ).

cnf(f18,axiom,
    ( ~ c_List_Odistinct(c_List_Olist_OCons(V_x,V_xs,T_a),T_a)
    | ~ c_in(V_x,c_List_Oset(V_xs,T_a),T_a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct_Osimps_I2_J_0) ).

fof(f18_nnf,plain,
    ! [V_x,V_xs,T_a] :
      ( ~ c_List_Odistinct(c_List_Olist_OCons(V_x,V_xs,T_a),T_a)
      | ~ c_in(V_x,c_List_Oset(V_xs,T_a),T_a) ),
    inference(nnf_transformation,[status(thm)],[f18]) ).

fof(f18_sk,plain,
    ! [V_x,V_xs,T_a] :
      ( ~ c_List_Odistinct(c_List_Olist_OCons(V_x,V_xs,T_a),T_a)
      | ~ c_in(V_x,c_List_Oset(V_xs,T_a),T_a) ),
    inference(skolemisation,[status(esa)],[f18_nnf]) ).

cnf(c18,plain,
    ( ~ c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2)
    | ~ c_in(X0,c_List_Oset(X1,X2),X2) ),
    inference(cnf_transformation,[status(esa)],[f18_sk]) ).

cnf(f34,axiom,
    ( ~ c_in(V_x,c_List_Oset(V_xs,T_a),T_a)
    | ~ hBOOL(hAPP(V_P,V_x))
    | c_List_Ofilter(V_P,V_xs,T_a) != c_List_Olist_ONil(T_a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_filter__empty__conv_0) ).

fof(f34_nnf,plain,
    ! [V_P,V_xs,T_a,V_x] :
      ( ~ c_in(V_x,c_List_Oset(V_xs,T_a),T_a)
      | ~ hBOOL(hAPP(V_P,V_x))
      | c_List_Ofilter(V_P,V_xs,T_a) != c_List_Olist_ONil(T_a) ),
    inference(nnf_transformation,[status(thm)],[f34]) ).

fof(f34_sk,plain,
    ! [V_P,V_xs,T_a,V_x] :
      ( ~ c_in(V_x,c_List_Oset(V_xs,T_a),T_a)
      | ~ hBOOL(hAPP(V_P,V_x))
      | c_List_Ofilter(V_P,V_xs,T_a) != c_List_Olist_ONil(T_a) ),
    inference(skolemisation,[status(esa)],[f34_nnf]) ).

cnf(c34,plain,
    ( ~ c_in(X3,c_List_Oset(X1,X2),X2)
    | ~ hBOOL(hAPP(X0,X3))
    | c_List_Ofilter(X0,X1,X2) != c_List_Olist_ONil(X2) ),
    inference(cnf_transformation,[status(esa)],[f34_sk]) ).

cnf(f86,axiom,
    ~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Server__not__bad_0) ).

fof(f86_nnf,plain,
    ~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent),
    inference(nnf_transformation,[status(thm)],[f86]) ).

fof(f86_sk,plain,
    ~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent),
    inference(skolemisation,[status(esa)],[f86_nnf]) ).

cnf(c86,plain,
    ~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent),
    inference(cnf_transformation,[status(esa)],[f86_sk]) ).

cnf(f158,axiom,
    ( ~ hBOOL(hAPP(V_P,V_y))
    | c_List_OdropWhile(V_P,V_xs,T_a) != c_List_Olist_OCons(V_y,V_ys,T_a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_dropWhile__eq__Cons__conv_1) ).

fof(f158_nnf,plain,
    ! [V_P,V_xs,T_a,V_y,V_ys] :
      ( ~ hBOOL(hAPP(V_P,V_y))
      | c_List_OdropWhile(V_P,V_xs,T_a) != c_List_Olist_OCons(V_y,V_ys,T_a) ),
    inference(nnf_transformation,[status(thm)],[f158]) ).

fof(f158_sk,plain,
    ! [V_P,V_xs,T_a,V_y,V_ys] :
      ( ~ hBOOL(hAPP(V_P,V_y))
      | c_List_OdropWhile(V_P,V_xs,T_a) != c_List_Olist_OCons(V_y,V_ys,T_a) ),
    inference(skolemisation,[status(esa)],[f158_nnf]) ).

cnf(c158,plain,
    ( ~ hBOOL(hAPP(X0,X3))
    | c_List_OdropWhile(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2) ),
    inference(cnf_transformation,[status(esa)],[f158_sk]) ).

cnf(f238,axiom,
    c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I7_J_0) ).

fof(f238_nnf,plain,
    ! [V_agent_H,V_msg_H,V_agent1,V_agent2,V_msg] : c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg),
    inference(nnf_transformation,[status(thm)],[f238]) ).

fof(f238_sk,plain,
    ! [V_agent_H,V_msg_H,V_agent1,V_agent2,V_msg] : c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg),
    inference(skolemisation,[status(esa)],[f238_nnf]) ).

cnf(c238,plain,
    c_Event_Oevent_ONotes(X0,X1) != c_Event_Oevent_OSays(X2,X3,X4),
    inference(cnf_transformation,[status(esa)],[f238_sk]) ).

cnf(f257,axiom,
    c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list_Osimps_I2_J_0) ).

fof(f257_nnf,plain,
    ! [T_a,V_a_H,V_list_H] : c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a),
    inference(nnf_transformation,[status(thm)],[f257]) ).

fof(f257_sk,plain,
    ! [T_a,V_a_H,V_list_H] : c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a),
    inference(skolemisation,[status(esa)],[f257_nnf]) ).

cnf(c257,plain,
    c_List_Olist_ONil(X0) != c_List_Olist_OCons(X1,X2,X0),
    inference(cnf_transformation,[status(esa)],[f257_sk]) ).

cnf(f326,axiom,
    V_xs != c_List_Olist_OCons(V_x,V_xs,T_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__Cons__self_0) ).

fof(f326_nnf,plain,
    ! [V_xs,V_x,T_a] : V_xs != c_List_Olist_OCons(V_x,V_xs,T_a),
    inference(nnf_transformation,[status(thm)],[f326]) ).

fof(f326_sk,plain,
    ! [V_xs,V_x,T_a] : V_xs != c_List_Olist_OCons(V_x,V_xs,T_a),
    inference(skolemisation,[status(esa)],[f326_nnf]) ).

cnf(c326,plain,
    X0 != c_List_Olist_OCons(X1,X0,X2),
    inference(cnf_transformation,[status(esa)],[f326_sk]) ).

cnf(f327,axiom,
    c_List_Olist_OCons(V_x,V_t,T_a) != V_t,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__Cons__self2_0) ).

fof(f327_nnf,plain,
    ! [V_x,V_t,T_a] : c_List_Olist_OCons(V_x,V_t,T_a) != V_t,
    inference(nnf_transformation,[status(thm)],[f327]) ).

fof(f327_sk,plain,
    ! [V_x,V_t,T_a] : c_List_Olist_OCons(V_x,V_t,T_a) != V_t,
    inference(skolemisation,[status(esa)],[f327_nnf]) ).

cnf(c327,plain,
    c_List_Olist_OCons(X0,X1,X2) != X1,
    inference(cnf_transformation,[status(esa)],[f327_sk]) ).

cnf(f333,axiom,
    c_Event_Oevent_OGets(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I5_J_0) ).

fof(f333_nnf,plain,
    ! [V_agent_H,V_msg_H,V_agent1,V_agent2,V_msg] : c_Event_Oevent_OGets(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg),
    inference(nnf_transformation,[status(thm)],[f333]) ).

fof(f333_sk,plain,
    ! [V_agent_H,V_msg_H,V_agent1,V_agent2,V_msg] : c_Event_Oevent_OGets(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg),
    inference(skolemisation,[status(esa)],[f333_nnf]) ).

cnf(c333,plain,
    c_Event_Oevent_OGets(X0,X1) != c_Event_Oevent_OSays(X2,X3,X4),
    inference(cnf_transformation,[status(esa)],[f333_sk]) ).

cnf(f339,axiom,
    c_Message_Oagent_OFriend(V_nat_H) != c_Message_Oagent_OServer,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osimps_I3_J_0) ).

fof(f339_nnf,plain,
    ! [V_nat_H] : c_Message_Oagent_OFriend(V_nat_H) != c_Message_Oagent_OServer,
    inference(nnf_transformation,[status(thm)],[f339]) ).

fof(f339_sk,plain,
    ! [V_nat_H] : c_Message_Oagent_OFriend(V_nat_H) != c_Message_Oagent_OServer,
    inference(skolemisation,[status(esa)],[f339_nnf]) ).

cnf(c339,plain,
    c_Message_Oagent_OFriend(X0) != c_Message_Oagent_OServer,
    inference(cnf_transformation,[status(esa)],[f339_sk]) ).

cnf(f355,axiom,
    c_Message_Oagent_OServer != c_Message_Oagent_OFriend(V_nat_H),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osimps_I2_J_0) ).

fof(f355_nnf,plain,
    ! [V_nat_H] : c_Message_Oagent_OServer != c_Message_Oagent_OFriend(V_nat_H),
    inference(nnf_transformation,[status(thm)],[f355]) ).

fof(f355_sk,plain,
    ! [V_nat_H] : c_Message_Oagent_OServer != c_Message_Oagent_OFriend(V_nat_H),
    inference(skolemisation,[status(esa)],[f355_nnf]) ).

cnf(c355,plain,
    c_Message_Oagent_OServer != c_Message_Oagent_OFriend(X0),
    inference(cnf_transformation,[status(esa)],[f355_sk]) ).

cnf(f359,axiom,
    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',cls_event_Osimps_I6_J_0) ).

fof(f359_nnf,plain,
    ! [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),
    inference(nnf_transformation,[status(thm)],[f359]) ).

fof(f359_sk,plain,
    ! [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),
    inference(skolemisation,[status(esa)],[f359_nnf]) ).

cnf(c359,plain,
    c_Event_Oevent_OSays(X0,X1,X2) != c_Event_Oevent_ONotes(X3,X4),
    inference(cnf_transformation,[status(esa)],[f359_sk]) ).

cnf(f363,axiom,
    c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I4_J_0) ).

fof(f363_nnf,plain,
    ! [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_OGets(V_agent_H,V_msg_H),
    inference(nnf_transformation,[status(thm)],[f363]) ).

fof(f363_sk,plain,
    ! [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_OGets(V_agent_H,V_msg_H),
    inference(skolemisation,[status(esa)],[f363_nnf]) ).

cnf(c363,plain,
    c_Event_Oevent_OSays(X0,X1,X2) != c_Event_Oevent_OGets(X3,X4),
    inference(cnf_transformation,[status(esa)],[f363_sk]) ).

cnf(f383,axiom,
    c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I8_J_0) ).

fof(f383_nnf,plain,
    ! [V_agent,V_msg,V_agent_H,V_msg_H] : c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H),
    inference(nnf_transformation,[status(thm)],[f383]) ).

fof(f383_sk,plain,
    ! [V_agent,V_msg,V_agent_H,V_msg_H] : c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H),
    inference(skolemisation,[status(esa)],[f383_nnf]) ).

cnf(c383,plain,
    c_Event_Oevent_OGets(X0,X1) != c_Event_Oevent_ONotes(X2,X3),
    inference(cnf_transformation,[status(esa)],[f383_sk]) ).

cnf(f402,axiom,
    c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OGets(V_agent,V_msg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I9_J_0) ).

fof(f402_nnf,plain,
    ! [V_agent_H,V_msg_H,V_agent,V_msg] : c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OGets(V_agent,V_msg),
    inference(nnf_transformation,[status(thm)],[f402]) ).

fof(f402_sk,plain,
    ! [V_agent_H,V_msg_H,V_agent,V_msg] : c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OGets(V_agent,V_msg),
    inference(skolemisation,[status(esa)],[f402_nnf]) ).

cnf(c402,plain,
    c_Event_Oevent_ONotes(X0,X1) != c_Event_Oevent_OGets(X2,X3),
    inference(cnf_transformation,[status(esa)],[f402_sk]) ).

cnf(f433,axiom,
    c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_neq__Nil__conv_1) ).

fof(f433_nnf,plain,
    ! [V_x,V_xa,T_a] : c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a),
    inference(nnf_transformation,[status(thm)],[f433]) ).

fof(f433_sk,plain,
    ! [V_x,V_xa,T_a] : c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a),
    inference(skolemisation,[status(esa)],[f433_nnf]) ).

cnf(c433,plain,
    c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_ONil(X2),
    inference(cnf_transformation,[status(esa)],[f433_sk]) ).

cnf(f434,axiom,
    c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list_Osimps_I3_J_0) ).

fof(f434_nnf,plain,
    ! [V_a_H,V_list_H,T_a] : c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a),
    inference(nnf_transformation,[status(thm)],[f434]) ).

fof(f434_sk,plain,
    ! [V_a_H,V_list_H,T_a] : c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a),
    inference(skolemisation,[status(esa)],[f434_nnf]) ).

cnf(c434,plain,
    c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_ONil(X2),
    inference(cnf_transformation,[status(esa)],[f434_sk]) ).

cnf(f451,axiom,
    c_Message_Oagent_OFriend(V_nat) != c_Message_Oagent_OSpy,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osimps_I6_J_0) ).

fof(f451_nnf,plain,
    ! [V_nat] : c_Message_Oagent_OFriend(V_nat) != c_Message_Oagent_OSpy,
    inference(nnf_transformation,[status(thm)],[f451]) ).

fof(f451_sk,plain,
    ! [V_nat] : c_Message_Oagent_OFriend(V_nat) != c_Message_Oagent_OSpy,
    inference(skolemisation,[status(esa)],[f451_nnf]) ).

cnf(c451,plain,
    c_Message_Oagent_OFriend(X0) != c_Message_Oagent_OSpy,
    inference(cnf_transformation,[status(esa)],[f451_sk]) ).

cnf(f453,axiom,
    c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osimps_I4_J_0) ).

fof(f453_nnf,plain,
    c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
    inference(nnf_transformation,[status(thm)],[f453]) ).

fof(f453_sk,plain,
    c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
    inference(skolemisation,[status(esa)],[f453_nnf]) ).

cnf(c453,plain,
    c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
    inference(cnf_transformation,[status(esa)],[f453_sk]) ).

cnf(f455,axiom,
    c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(V_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osimps_I7_J_0) ).

fof(f455_nnf,plain,
    ! [V_nat] : c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(V_nat),
    inference(nnf_transformation,[status(thm)],[f455]) ).

fof(f455_sk,plain,
    ! [V_nat] : c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(V_nat),
    inference(skolemisation,[status(esa)],[f455_nnf]) ).

cnf(c455,plain,
    c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(X0),
    inference(cnf_transformation,[status(esa)],[f455_sk]) ).

cnf(f456,axiom,
    c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osimps_I5_J_0) ).

fof(f456_nnf,plain,
    c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
    inference(nnf_transformation,[status(thm)],[f456]) ).

fof(f456_sk,plain,
    c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
    inference(skolemisation,[status(esa)],[f456_nnf]) ).

cnf(c456,plain,
    c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
    inference(cnf_transformation,[status(esa)],[f456_sk]) ).

cnf(f526,negated_conjecture,
    ~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(v_P,c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f526_nnf,plain,
    ~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(v_P,c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(nnf_transformation,[status(thm)],[f526]) ).

fof(f526_sk,plain,
    ~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(v_P,c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(skolemisation,[status(esa)],[f526_nnf]) ).

cnf(c526,plain,
    ~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(v_P,c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(cnf_transformation,[status(esa)],[f526_sk]) ).

cnf(goal_0,negated_conjecture,
    true != false,
    inference(equality_encoding,[status(esa)],[c18,c34,c86,c158,c238,c257,c326,c327,c333,c339,c355,c359,c363,c383,c402,c433,c434,c451,c453,c455,c456,c526]) ).

cnf(g0_0,plain,
    c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(v_P,c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) != false,
    inference(rw,[status(thm)],[goal_0]) ).

cnf(g0_1,plain,
    c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) != false,
    inference(rw,[status(thm)],[g0_0,t1130]) ).

cnf(g0_2,plain,
    true != false,
    inference(rw,[status(thm)],[g0_1,t440]) ).

cnf(contradiction_0,plain,
    $false,
    inference(trivial_inequality_removal,[status(thm)],[g0_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV781-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.36  % Computer : n017.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 : Thu Sep 24 20:59:31 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 19.32/2.82  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.32/2.82  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------