TSTP Solution File: CSR034-10 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : CSR034-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n017.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 : Fri Jul 15 21:56:46 EDT 2022

% Result   : Unsatisfiable 23.51s 23.69s
% Output   : CNFRefutation 23.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   41 (  25 unt;   0 nHn;  35 RR)
%            Number of literals    :   65 (  64 equ;  25 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-4 aty)
%            Number of variables   :   10 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(ifeq_axiom,axiom,
    ifeq4(A,A,B,C) = B ).

cnf(ifeq_axiom_001,axiom,
    ifeq3(A,A,B,C) = B ).

cnf(ax2_1509,axiom,
    ifeq4(enduringthing_localized(OBJ),true,somethingexisting(OBJ),true) = true ).

cnf(ax2_2732,axiom,
    geographicalthing(c_wanica_districtsuriname) = true ).

cnf(ax2_2915,axiom,
    ifeq4(geographicalthing(OBJ),true,enduringthing_localized(OBJ),true) = true ).

cnf(ax2_6420,axiom,
    ifeq4(somethingexisting(X),true,isa(X,c_somethingexisting),true) = true ).

cnf(query134_1,negated_conjecture,
    ifeq3(isa(c_wanica_districtsuriname,COL),true,a,b) = b ).

cnf(goal,negated_conjecture,
    a != b ).

cnf(refute_0_0,plain,
    ifeq3(isa(c_wanica_districtsuriname,c_somethingexisting),true,a,b) = b,
    inference(subst,[],[query134_1:[bind(COL,$fot(c_somethingexisting))]]) ).

cnf(refute_0_1,plain,
    ifeq4(somethingexisting(c_wanica_districtsuriname),true,isa(c_wanica_districtsuriname,c_somethingexisting),true) = true,
    inference(subst,[],[ax2_6420:[bind(X,$fot(c_wanica_districtsuriname))]]) ).

cnf(refute_0_2,plain,
    ifeq4(enduringthing_localized(c_wanica_districtsuriname),true,somethingexisting(c_wanica_districtsuriname),true) = true,
    inference(subst,[],[ax2_1509:[bind(OBJ,$fot(c_wanica_districtsuriname))]]) ).

cnf(refute_0_3,plain,
    ifeq4(geographicalthing(c_wanica_districtsuriname),true,enduringthing_localized(c_wanica_districtsuriname),true) = true,
    inference(subst,[],[ax2_2915:[bind(OBJ,$fot(c_wanica_districtsuriname))]]) ).

cnf(refute_0_4,plain,
    ( geographicalthing(c_wanica_districtsuriname) != true
    | ifeq4(geographicalthing(c_wanica_districtsuriname),true,enduringthing_localized(c_wanica_districtsuriname),true) != true
    | ifeq4(true,true,enduringthing_localized(c_wanica_districtsuriname),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq4(geographicalthing(c_wanica_districtsuriname),true,enduringthing_localized(c_wanica_districtsuriname),true),true) ),[0,0],$fot(true)]]) ).

cnf(refute_0_5,plain,
    ( ifeq4(geographicalthing(c_wanica_districtsuriname),true,enduringthing_localized(c_wanica_districtsuriname),true) != true
    | ifeq4(true,true,enduringthing_localized(c_wanica_districtsuriname),true) = true ),
    inference(resolve,[$cnf( $equal(geographicalthing(c_wanica_districtsuriname),true) )],[ax2_2732,refute_0_4]) ).

cnf(refute_0_6,plain,
    ifeq4(true,true,enduringthing_localized(c_wanica_districtsuriname),true) = true,
    inference(resolve,[$cnf( $equal(ifeq4(geographicalthing(c_wanica_districtsuriname),true,enduringthing_localized(c_wanica_districtsuriname),true),true) )],[refute_0_3,refute_0_5]) ).

cnf(refute_0_7,plain,
    ifeq4(true,true,enduringthing_localized(c_wanica_districtsuriname),true) = enduringthing_localized(c_wanica_districtsuriname),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(enduringthing_localized(c_wanica_districtsuriname))),bind(C,$fot(true))]]) ).

cnf(refute_0_8,plain,
    ( ifeq4(true,true,enduringthing_localized(c_wanica_districtsuriname),true) != enduringthing_localized(c_wanica_districtsuriname)
    | ifeq4(true,true,enduringthing_localized(c_wanica_districtsuriname),true) != true
    | enduringthing_localized(c_wanica_districtsuriname) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq4(true,true,enduringthing_localized(c_wanica_districtsuriname),true),true) ),[0],$fot(enduringthing_localized(c_wanica_districtsuriname))]]) ).

cnf(refute_0_9,plain,
    ( ifeq4(true,true,enduringthing_localized(c_wanica_districtsuriname),true) != true
    | enduringthing_localized(c_wanica_districtsuriname) = true ),
    inference(resolve,[$cnf( $equal(ifeq4(true,true,enduringthing_localized(c_wanica_districtsuriname),true),enduringthing_localized(c_wanica_districtsuriname)) )],[refute_0_7,refute_0_8]) ).

cnf(refute_0_10,plain,
    enduringthing_localized(c_wanica_districtsuriname) = true,
    inference(resolve,[$cnf( $equal(ifeq4(true,true,enduringthing_localized(c_wanica_districtsuriname),true),true) )],[refute_0_6,refute_0_9]) ).

cnf(refute_0_11,plain,
    ( enduringthing_localized(c_wanica_districtsuriname) != true
    | ifeq4(enduringthing_localized(c_wanica_districtsuriname),true,somethingexisting(c_wanica_districtsuriname),true) != true
    | ifeq4(true,true,somethingexisting(c_wanica_districtsuriname),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq4(enduringthing_localized(c_wanica_districtsuriname),true,somethingexisting(c_wanica_districtsuriname),true),true) ),[0,0],$fot(true)]]) ).

cnf(refute_0_12,plain,
    ( ifeq4(enduringthing_localized(c_wanica_districtsuriname),true,somethingexisting(c_wanica_districtsuriname),true) != true
    | ifeq4(true,true,somethingexisting(c_wanica_districtsuriname),true) = true ),
    inference(resolve,[$cnf( $equal(enduringthing_localized(c_wanica_districtsuriname),true) )],[refute_0_10,refute_0_11]) ).

cnf(refute_0_13,plain,
    ifeq4(true,true,somethingexisting(c_wanica_districtsuriname),true) = true,
    inference(resolve,[$cnf( $equal(ifeq4(enduringthing_localized(c_wanica_districtsuriname),true,somethingexisting(c_wanica_districtsuriname),true),true) )],[refute_0_2,refute_0_12]) ).

cnf(refute_0_14,plain,
    ifeq4(true,true,somethingexisting(c_wanica_districtsuriname),true) = somethingexisting(c_wanica_districtsuriname),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(somethingexisting(c_wanica_districtsuriname))),bind(C,$fot(true))]]) ).

cnf(refute_0_15,plain,
    ( ifeq4(true,true,somethingexisting(c_wanica_districtsuriname),true) != somethingexisting(c_wanica_districtsuriname)
    | ifeq4(true,true,somethingexisting(c_wanica_districtsuriname),true) != true
    | somethingexisting(c_wanica_districtsuriname) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq4(true,true,somethingexisting(c_wanica_districtsuriname),true),true) ),[0],$fot(somethingexisting(c_wanica_districtsuriname))]]) ).

cnf(refute_0_16,plain,
    ( ifeq4(true,true,somethingexisting(c_wanica_districtsuriname),true) != true
    | somethingexisting(c_wanica_districtsuriname) = true ),
    inference(resolve,[$cnf( $equal(ifeq4(true,true,somethingexisting(c_wanica_districtsuriname),true),somethingexisting(c_wanica_districtsuriname)) )],[refute_0_14,refute_0_15]) ).

cnf(refute_0_17,plain,
    somethingexisting(c_wanica_districtsuriname) = true,
    inference(resolve,[$cnf( $equal(ifeq4(true,true,somethingexisting(c_wanica_districtsuriname),true),true) )],[refute_0_13,refute_0_16]) ).

cnf(refute_0_18,plain,
    ( ifeq4(somethingexisting(c_wanica_districtsuriname),true,isa(c_wanica_districtsuriname,c_somethingexisting),true) != true
    | somethingexisting(c_wanica_districtsuriname) != true
    | ifeq4(true,true,isa(c_wanica_districtsuriname,c_somethingexisting),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq4(somethingexisting(c_wanica_districtsuriname),true,isa(c_wanica_districtsuriname,c_somethingexisting),true),true) ),[0,0],$fot(true)]]) ).

cnf(refute_0_19,plain,
    ( ifeq4(somethingexisting(c_wanica_districtsuriname),true,isa(c_wanica_districtsuriname,c_somethingexisting),true) != true
    | ifeq4(true,true,isa(c_wanica_districtsuriname,c_somethingexisting),true) = true ),
    inference(resolve,[$cnf( $equal(somethingexisting(c_wanica_districtsuriname),true) )],[refute_0_17,refute_0_18]) ).

cnf(refute_0_20,plain,
    ifeq4(true,true,isa(c_wanica_districtsuriname,c_somethingexisting),true) = true,
    inference(resolve,[$cnf( $equal(ifeq4(somethingexisting(c_wanica_districtsuriname),true,isa(c_wanica_districtsuriname,c_somethingexisting),true),true) )],[refute_0_1,refute_0_19]) ).

cnf(refute_0_21,plain,
    ifeq4(true,true,isa(c_wanica_districtsuriname,c_somethingexisting),true) = isa(c_wanica_districtsuriname,c_somethingexisting),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(isa(c_wanica_districtsuriname,c_somethingexisting))),bind(C,$fot(true))]]) ).

cnf(refute_0_22,plain,
    ( ifeq4(true,true,isa(c_wanica_districtsuriname,c_somethingexisting),true) != isa(c_wanica_districtsuriname,c_somethingexisting)
    | ifeq4(true,true,isa(c_wanica_districtsuriname,c_somethingexisting),true) != true
    | isa(c_wanica_districtsuriname,c_somethingexisting) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq4(true,true,isa(c_wanica_districtsuriname,c_somethingexisting),true),true) ),[0],$fot(isa(c_wanica_districtsuriname,c_somethingexisting))]]) ).

cnf(refute_0_23,plain,
    ( ifeq4(true,true,isa(c_wanica_districtsuriname,c_somethingexisting),true) != true
    | isa(c_wanica_districtsuriname,c_somethingexisting) = true ),
    inference(resolve,[$cnf( $equal(ifeq4(true,true,isa(c_wanica_districtsuriname,c_somethingexisting),true),isa(c_wanica_districtsuriname,c_somethingexisting)) )],[refute_0_21,refute_0_22]) ).

cnf(refute_0_24,plain,
    isa(c_wanica_districtsuriname,c_somethingexisting) = true,
    inference(resolve,[$cnf( $equal(ifeq4(true,true,isa(c_wanica_districtsuriname,c_somethingexisting),true),true) )],[refute_0_20,refute_0_23]) ).

cnf(refute_0_25,plain,
    ( ifeq3(isa(c_wanica_districtsuriname,c_somethingexisting),true,a,b) != b
    | isa(c_wanica_districtsuriname,c_somethingexisting) != true
    | ifeq3(true,true,a,b) = b ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq3(isa(c_wanica_districtsuriname,c_somethingexisting),true,a,b),b) ),[0,0],$fot(true)]]) ).

cnf(refute_0_26,plain,
    ( ifeq3(isa(c_wanica_districtsuriname,c_somethingexisting),true,a,b) != b
    | ifeq3(true,true,a,b) = b ),
    inference(resolve,[$cnf( $equal(isa(c_wanica_districtsuriname,c_somethingexisting),true) )],[refute_0_24,refute_0_25]) ).

cnf(refute_0_27,plain,
    ifeq3(true,true,a,b) = b,
    inference(resolve,[$cnf( $equal(ifeq3(isa(c_wanica_districtsuriname,c_somethingexisting),true,a,b),b) )],[refute_0_0,refute_0_26]) ).

cnf(refute_0_28,plain,
    ifeq3(true,true,a,b) = a,
    inference(subst,[],[ifeq_axiom_001:[bind(A,$fot(true)),bind(B,$fot(a)),bind(C,$fot(b))]]) ).

cnf(refute_0_29,plain,
    ( ifeq3(true,true,a,b) != a
    | ifeq3(true,true,a,b) != b
    | a = b ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq3(true,true,a,b),b) ),[0],$fot(a)]]) ).

cnf(refute_0_30,plain,
    ( ifeq3(true,true,a,b) != b
    | a = b ),
    inference(resolve,[$cnf( $equal(ifeq3(true,true,a,b),a) )],[refute_0_28,refute_0_29]) ).

cnf(refute_0_31,plain,
    a = b,
    inference(resolve,[$cnf( $equal(ifeq3(true,true,a,b),b) )],[refute_0_27,refute_0_30]) ).

cnf(refute_0_32,plain,
    $false,
    inference(resolve,[$cnf( $equal(a,b) )],[refute_0_31,goal]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : CSR034-10 : TPTP v8.1.0. Released v7.3.0.
% 0.11/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n017.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 : Fri Jun 10 21:00:35 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 23.51/23.69  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 23.51/23.69  
% 23.51/23.69  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 23.53/23.69  
%------------------------------------------------------------------------------