TSTP Solution File: SWV779-1 by Metis---2.4

View Problem - Process Solution 
%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SWV779-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Wed Jul 20 20:40:10 EDT 2022

% Result   : Unsatisfiable 0.74s 0.92s
% Output   : CNFRefutation 0.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   27 (  13 unt;   0 nHn;  23 RR)
%            Number of literals    :   48 (  47 equ;  23 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :   15 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_knows__Nil_0,axiom,
    c_Event_Oknows(V_A,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(V_A) ).

cnf(cls_Nil__is__rev__conv_1,axiom,
    c_List_Olist_ONil(T_a) = hAPP(c_List_Orev(T_a),c_List_Olist_ONil(T_a)) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)) != c_Event_Oknows(c_Message_Oagent_OSpy,hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent))) ).

cnf(refute_0_0,plain,
    c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(c_Message_Oagent_OSpy),
    inference(subst,[],[cls_knows__Nil_0:[bind(V_A,$fot(c_Message_Oagent_OSpy))]]) ).

cnf(refute_0_1,plain,
    ( c_Event_OinitState(c_Message_Oagent_OSpy) != c_Event_Oknows(c_Message_Oagent_OSpy,hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent)))
    | c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)) != c_Event_OinitState(c_Message_Oagent_OSpy)
    | c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent))) ),
    introduced(tautology,[equality,[$cnf( $equal(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),c_Event_OinitState(c_Message_Oagent_OSpy)) ),[1],$fot(c_Event_Oknows(c_Message_Oagent_OSpy,hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent))))]]) ).

cnf(refute_0_2,plain,
    ( c_Event_OinitState(c_Message_Oagent_OSpy) != c_Event_Oknows(c_Message_Oagent_OSpy,hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent)))
    | c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent))) ),
    inference(resolve,[$cnf( $equal(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),c_Event_OinitState(c_Message_Oagent_OSpy)) )],[refute_0_0,refute_0_1]) ).

cnf(refute_0_3,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_0_4,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_0_5,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_0_3,refute_0_4]) ).

cnf(refute_0_6,plain,
    ( c_List_Olist_ONil(T_a) != hAPP(c_List_Orev(T_a),c_List_Olist_ONil(T_a))
    | hAPP(c_List_Orev(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(c_List_Olist_ONil(T_a))),bind(Y,$fot(hAPP(c_List_Orev(T_a),c_List_Olist_ONil(T_a))))]]) ).

cnf(refute_0_7,plain,
    hAPP(c_List_Orev(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a),
    inference(resolve,[$cnf( $equal(c_List_Olist_ONil(T_a),hAPP(c_List_Orev(T_a),c_List_Olist_ONil(T_a))) )],[cls_Nil__is__rev__conv_1,refute_0_6]) ).

cnf(refute_0_8,plain,
    hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent)) = c_List_Olist_ONil(tc_Event_Oevent),
    inference(subst,[],[refute_0_7:[bind(T_a,$fot(tc_Event_Oevent))]]) ).

cnf(refute_0_9,plain,
    c_Event_Oknows(c_Message_Oagent_OSpy,hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent))) = c_Event_Oknows(c_Message_Oagent_OSpy,hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent))),
    introduced(tautology,[refl,[$fot(c_Event_Oknows(c_Message_Oagent_OSpy,hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent))))]]) ).

cnf(refute_0_10,plain,
    ( c_Event_Oknows(c_Message_Oagent_OSpy,hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent))) != c_Event_Oknows(c_Message_Oagent_OSpy,hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent)))
    | hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent)) != c_List_Olist_ONil(tc_Event_Oevent)
    | c_Event_Oknows(c_Message_Oagent_OSpy,hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent))) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)) ),
    introduced(tautology,[equality,[$cnf( $equal(c_Event_Oknows(c_Message_Oagent_OSpy,hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent))),c_Event_Oknows(c_Message_Oagent_OSpy,hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent)))) ),[1,1],$fot(c_List_Olist_ONil(tc_Event_Oevent))]]) ).

cnf(refute_0_11,plain,
    ( hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent)) != c_List_Olist_ONil(tc_Event_Oevent)
    | c_Event_Oknows(c_Message_Oagent_OSpy,hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent))) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)) ),
    inference(resolve,[$cnf( $equal(c_Event_Oknows(c_Message_Oagent_OSpy,hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent))),c_Event_Oknows(c_Message_Oagent_OSpy,hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent)))) )],[refute_0_9,refute_0_10]) ).

cnf(refute_0_12,plain,
    c_Event_Oknows(c_Message_Oagent_OSpy,hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent))) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),
    inference(resolve,[$cnf( $equal(hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent)),c_List_Olist_ONil(tc_Event_Oevent)) )],[refute_0_8,refute_0_11]) ).

cnf(refute_0_13,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_0_14,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_5,refute_0_13]) ).

cnf(refute_0_15,plain,
    ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)) != c_Event_OinitState(c_Message_Oagent_OSpy)
    | c_Event_Oknows(c_Message_Oagent_OSpy,hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent))) != c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent))
    | c_Event_Oknows(c_Message_Oagent_OSpy,hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent))) = c_Event_OinitState(c_Message_Oagent_OSpy) ),
    inference(subst,[],[refute_0_14:[bind(X,$fot(c_Event_Oknows(c_Message_Oagent_OSpy,hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent))))),bind(Y,$fot(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)))),bind(Z,$fot(c_Event_OinitState(c_Message_Oagent_OSpy)))]]) ).

cnf(refute_0_16,plain,
    ( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)) != c_Event_OinitState(c_Message_Oagent_OSpy)
    | c_Event_Oknows(c_Message_Oagent_OSpy,hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent))) = c_Event_OinitState(c_Message_Oagent_OSpy) ),
    inference(resolve,[$cnf( $equal(c_Event_Oknows(c_Message_Oagent_OSpy,hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent))),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent))) )],[refute_0_12,refute_0_15]) ).

cnf(refute_0_17,plain,
    c_Event_Oknows(c_Message_Oagent_OSpy,hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent))) = c_Event_OinitState(c_Message_Oagent_OSpy),
    inference(resolve,[$cnf( $equal(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),c_Event_OinitState(c_Message_Oagent_OSpy)) )],[refute_0_0,refute_0_16]) ).

cnf(refute_0_18,plain,
    ( c_Event_OinitState(c_Message_Oagent_OSpy) != c_Event_OinitState(c_Message_Oagent_OSpy)
    | c_Event_Oknows(c_Message_Oagent_OSpy,hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent))) != c_Event_OinitState(c_Message_Oagent_OSpy)
    | c_Event_OinitState(c_Message_Oagent_OSpy) = c_Event_Oknows(c_Message_Oagent_OSpy,hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(c_Event_OinitState(c_Message_Oagent_OSpy),c_Event_Oknows(c_Message_Oagent_OSpy,hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent)))) ),[1],$fot(c_Event_OinitState(c_Message_Oagent_OSpy))]]) ).

cnf(refute_0_19,plain,
    ( c_Event_OinitState(c_Message_Oagent_OSpy) != c_Event_OinitState(c_Message_Oagent_OSpy)
    | c_Event_OinitState(c_Message_Oagent_OSpy) = c_Event_Oknows(c_Message_Oagent_OSpy,hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent))) ),
    inference(resolve,[$cnf( $equal(c_Event_Oknows(c_Message_Oagent_OSpy,hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent))),c_Event_OinitState(c_Message_Oagent_OSpy)) )],[refute_0_17,refute_0_18]) ).

cnf(refute_0_20,plain,
    ( c_Event_OinitState(c_Message_Oagent_OSpy) != c_Event_OinitState(c_Message_Oagent_OSpy)
    | c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent))) ),
    inference(resolve,[$cnf( $equal(c_Event_OinitState(c_Message_Oagent_OSpy),c_Event_Oknows(c_Message_Oagent_OSpy,hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent)))) )],[refute_0_19,refute_0_2]) ).

cnf(refute_0_21,plain,
    c_Event_OinitState(c_Message_Oagent_OSpy) != c_Event_OinitState(c_Message_Oagent_OSpy),
    inference(resolve,[$cnf( $equal(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent)))) )],[refute_0_20,cls_conjecture_0]) ).

cnf(refute_0_22,plain,
    c_Event_OinitState(c_Message_Oagent_OSpy) = c_Event_OinitState(c_Message_Oagent_OSpy),
    introduced(tautology,[refl,[$fot(c_Event_OinitState(c_Message_Oagent_OSpy))]]) ).

cnf(refute_0_23,plain,
    $false,
    inference(resolve,[$cnf( $equal(c_Event_OinitState(c_Message_Oagent_OSpy),c_Event_OinitState(c_Message_Oagent_OSpy)) )],[refute_0_22,refute_0_21]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem  : SWV779-1 : TPTP v8.1.0. Released v4.1.0.
% 0.09/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n020.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jun 15 11:58:49 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.74/0.92  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.74/0.92  
% 0.74/0.92  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.74/0.92  
%------------------------------------------------------------------------------