TSTP Solution File: CSR041-10 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : CSR041-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n019.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 21:56:55 EDT 2022

% Result   : Unsatisfiable 0.19s 0.47s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   17
% Syntax   : Number of clauses     :   42 (  24 unt;   0 nHn;  27 RR)
%            Number of literals    :   70 (  69 equ;  29 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   5 con; 0-4 aty)
%            Number of variables   :   55 (  14 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(ifeq_axiom,axiom,
    ifeq3(A,A,B,C) = B ).

cnf(ifeq_axiom_001,axiom,
    ifeq2(A,A,B,C) = B ).

cnf(just2,axiom,
    ifeq3(aspatialinformationstore(OBJ),true,aspatialthing(OBJ),true) = true ).

cnf(just4,axiom,
    ifeq3(microtheory(OBJ),true,aspatialinformationstore(OBJ),true) = true ).

cnf(just41,axiom,
    microtheory(f_contentmtofcdafromeventfn(ARG1,ARG2)) = true ).

cnf(query41_1,negated_conjecture,
    ifeq2(aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true,a,b) = b ).

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

cnf(refute_0_0,plain,
    ifeq2(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_1,plain,
    ifeq3(aspatialinformationstore(f_contentmtofcdafromeventfn(X_10,X_11)),true,aspatialthing(f_contentmtofcdafromeventfn(X_10,X_11)),true) = true,
    inference(subst,[],[just2:[bind(OBJ,$fot(f_contentmtofcdafromeventfn(X_10,X_11)))]]) ).

cnf(refute_0_2,plain,
    ifeq3(microtheory(f_contentmtofcdafromeventfn(ARG1,ARG2)),true,aspatialinformationstore(f_contentmtofcdafromeventfn(ARG1,ARG2)),true) = true,
    inference(subst,[],[just4:[bind(OBJ,$fot(f_contentmtofcdafromeventfn(ARG1,ARG2)))]]) ).

cnf(refute_0_3,plain,
    ( ifeq3(microtheory(f_contentmtofcdafromeventfn(ARG1,ARG2)),true,aspatialinformationstore(f_contentmtofcdafromeventfn(ARG1,ARG2)),true) != true
    | microtheory(f_contentmtofcdafromeventfn(ARG1,ARG2)) != true
    | ifeq3(true,true,aspatialinformationstore(f_contentmtofcdafromeventfn(ARG1,ARG2)),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq3(microtheory(f_contentmtofcdafromeventfn(ARG1,ARG2)),true,aspatialinformationstore(f_contentmtofcdafromeventfn(ARG1,ARG2)),true),true) ),[0,0],$fot(true)]]) ).

cnf(refute_0_4,plain,
    ( ifeq3(microtheory(f_contentmtofcdafromeventfn(ARG1,ARG2)),true,aspatialinformationstore(f_contentmtofcdafromeventfn(ARG1,ARG2)),true) != true
    | ifeq3(true,true,aspatialinformationstore(f_contentmtofcdafromeventfn(ARG1,ARG2)),true) = true ),
    inference(resolve,[$cnf( $equal(microtheory(f_contentmtofcdafromeventfn(ARG1,ARG2)),true) )],[just41,refute_0_3]) ).

cnf(refute_0_5,plain,
    ifeq3(true,true,aspatialinformationstore(f_contentmtofcdafromeventfn(ARG1,ARG2)),true) = true,
    inference(resolve,[$cnf( $equal(ifeq3(microtheory(f_contentmtofcdafromeventfn(ARG1,ARG2)),true,aspatialinformationstore(f_contentmtofcdafromeventfn(ARG1,ARG2)),true),true) )],[refute_0_2,refute_0_4]) ).

cnf(refute_0_6,plain,
    ifeq3(true,true,aspatialinformationstore(f_contentmtofcdafromeventfn(ARG1,ARG2)),true) = aspatialinformationstore(f_contentmtofcdafromeventfn(ARG1,ARG2)),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(aspatialinformationstore(f_contentmtofcdafromeventfn(ARG1,ARG2)))),bind(C,$fot(true))]]) ).

cnf(refute_0_7,plain,
    ( ifeq3(true,true,aspatialinformationstore(f_contentmtofcdafromeventfn(ARG1,ARG2)),true) != aspatialinformationstore(f_contentmtofcdafromeventfn(ARG1,ARG2))
    | ifeq3(true,true,aspatialinformationstore(f_contentmtofcdafromeventfn(ARG1,ARG2)),true) != true
    | aspatialinformationstore(f_contentmtofcdafromeventfn(ARG1,ARG2)) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq3(true,true,aspatialinformationstore(f_contentmtofcdafromeventfn(ARG1,ARG2)),true),true) ),[0],$fot(aspatialinformationstore(f_contentmtofcdafromeventfn(ARG1,ARG2)))]]) ).

cnf(refute_0_8,plain,
    ( ifeq3(true,true,aspatialinformationstore(f_contentmtofcdafromeventfn(ARG1,ARG2)),true) != true
    | aspatialinformationstore(f_contentmtofcdafromeventfn(ARG1,ARG2)) = true ),
    inference(resolve,[$cnf( $equal(ifeq3(true,true,aspatialinformationstore(f_contentmtofcdafromeventfn(ARG1,ARG2)),true),aspatialinformationstore(f_contentmtofcdafromeventfn(ARG1,ARG2))) )],[refute_0_6,refute_0_7]) ).

cnf(refute_0_9,plain,
    aspatialinformationstore(f_contentmtofcdafromeventfn(ARG1,ARG2)) = true,
    inference(resolve,[$cnf( $equal(ifeq3(true,true,aspatialinformationstore(f_contentmtofcdafromeventfn(ARG1,ARG2)),true),true) )],[refute_0_5,refute_0_8]) ).

cnf(refute_0_10,plain,
    aspatialinformationstore(f_contentmtofcdafromeventfn(X_10,X_11)) = true,
    inference(subst,[],[refute_0_9:[bind(ARG1,$fot(X_10)),bind(ARG2,$fot(X_11))]]) ).

cnf(refute_0_11,plain,
    ( aspatialinformationstore(f_contentmtofcdafromeventfn(X_10,X_11)) != true
    | ifeq3(aspatialinformationstore(f_contentmtofcdafromeventfn(X_10,X_11)),true,aspatialthing(f_contentmtofcdafromeventfn(X_10,X_11)),true) != true
    | ifeq3(true,true,aspatialthing(f_contentmtofcdafromeventfn(X_10,X_11)),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq3(aspatialinformationstore(f_contentmtofcdafromeventfn(X_10,X_11)),true,aspatialthing(f_contentmtofcdafromeventfn(X_10,X_11)),true),true) ),[0,0],$fot(true)]]) ).

cnf(refute_0_12,plain,
    ( ifeq3(aspatialinformationstore(f_contentmtofcdafromeventfn(X_10,X_11)),true,aspatialthing(f_contentmtofcdafromeventfn(X_10,X_11)),true) != true
    | ifeq3(true,true,aspatialthing(f_contentmtofcdafromeventfn(X_10,X_11)),true) = true ),
    inference(resolve,[$cnf( $equal(aspatialinformationstore(f_contentmtofcdafromeventfn(X_10,X_11)),true) )],[refute_0_10,refute_0_11]) ).

cnf(refute_0_13,plain,
    ifeq3(true,true,aspatialthing(f_contentmtofcdafromeventfn(X_10,X_11)),true) = true,
    inference(resolve,[$cnf( $equal(ifeq3(aspatialinformationstore(f_contentmtofcdafromeventfn(X_10,X_11)),true,aspatialthing(f_contentmtofcdafromeventfn(X_10,X_11)),true),true) )],[refute_0_1,refute_0_12]) ).

cnf(refute_0_14,plain,
    ifeq3(true,true,aspatialthing(f_contentmtofcdafromeventfn(X_10,X_11)),true) = aspatialthing(f_contentmtofcdafromeventfn(X_10,X_11)),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(aspatialthing(f_contentmtofcdafromeventfn(X_10,X_11)))),bind(C,$fot(true))]]) ).

cnf(refute_0_15,plain,
    ( ifeq3(true,true,aspatialthing(f_contentmtofcdafromeventfn(X_10,X_11)),true) != aspatialthing(f_contentmtofcdafromeventfn(X_10,X_11))
    | ifeq3(true,true,aspatialthing(f_contentmtofcdafromeventfn(X_10,X_11)),true) != true
    | aspatialthing(f_contentmtofcdafromeventfn(X_10,X_11)) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq3(true,true,aspatialthing(f_contentmtofcdafromeventfn(X_10,X_11)),true),true) ),[0],$fot(aspatialthing(f_contentmtofcdafromeventfn(X_10,X_11)))]]) ).

cnf(refute_0_16,plain,
    ( ifeq3(true,true,aspatialthing(f_contentmtofcdafromeventfn(X_10,X_11)),true) != true
    | aspatialthing(f_contentmtofcdafromeventfn(X_10,X_11)) = true ),
    inference(resolve,[$cnf( $equal(ifeq3(true,true,aspatialthing(f_contentmtofcdafromeventfn(X_10,X_11)),true),aspatialthing(f_contentmtofcdafromeventfn(X_10,X_11))) )],[refute_0_14,refute_0_15]) ).

cnf(refute_0_17,plain,
    aspatialthing(f_contentmtofcdafromeventfn(X_10,X_11)) = true,
    inference(resolve,[$cnf( $equal(ifeq3(true,true,aspatialthing(f_contentmtofcdafromeventfn(X_10,X_11)),true),true) )],[refute_0_13,refute_0_16]) ).

cnf(refute_0_18,plain,
    aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)) = true,
    inference(subst,[],[refute_0_17:[bind(X_10,$fot(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)))),bind(X_11,$fot(c_translation_3))]]) ).

cnf(refute_0_19,plain,
    ifeq2(aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true,a,b) = ifeq2(aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true,a,b),
    introduced(tautology,[refl,[$fot(ifeq2(aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true,a,b))]]) ).

cnf(refute_0_20,plain,
    ( aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)) != true
    | ifeq2(aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true,a,b) != ifeq2(aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true,a,b)
    | ifeq2(aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true,a,b) = ifeq2(true,true,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq2(aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true,a,b),ifeq2(aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true,a,b)) ),[1,0],$fot(true)]]) ).

cnf(refute_0_21,plain,
    ( aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)) != true
    | ifeq2(aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true,a,b) = ifeq2(true,true,a,b) ),
    inference(resolve,[$cnf( $equal(ifeq2(aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true,a,b),ifeq2(aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true,a,b)) )],[refute_0_19,refute_0_20]) ).

cnf(refute_0_22,plain,
    ifeq2(aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true,a,b) = ifeq2(true,true,a,b),
    inference(resolve,[$cnf( $equal(aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true) )],[refute_0_18,refute_0_21]) ).

cnf(refute_0_23,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_0_24,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_0_25,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_0_23,refute_0_24]) ).

cnf(refute_0_26,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_0_27,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_25,refute_0_26]) ).

cnf(refute_0_28,plain,
    ( ifeq2(aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true,a,b) != ifeq2(true,true,a,b)
    | ifeq2(true,true,a,b) != a
    | ifeq2(aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true,a,b) = a ),
    inference(subst,[],[refute_0_27:[bind(X,$fot(ifeq2(aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true,a,b))),bind(Y,$fot(ifeq2(true,true,a,b))),bind(Z,$fot(a))]]) ).

cnf(refute_0_29,plain,
    ( ifeq2(true,true,a,b) != a
    | ifeq2(aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true,a,b) = a ),
    inference(resolve,[$cnf( $equal(ifeq2(aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true,a,b),ifeq2(true,true,a,b)) )],[refute_0_22,refute_0_28]) ).

cnf(refute_0_30,plain,
    ifeq2(aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true,a,b) = a,
    inference(resolve,[$cnf( $equal(ifeq2(true,true,a,b),a) )],[refute_0_0,refute_0_29]) ).

cnf(refute_0_31,plain,
    ( ifeq2(aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true,a,b) != a
    | ifeq2(aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true,a,b) != b
    | a = b ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq2(aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true,a,b),b) ),[0],$fot(a)]]) ).

cnf(refute_0_32,plain,
    ( ifeq2(aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true,a,b) != b
    | a = b ),
    inference(resolve,[$cnf( $equal(ifeq2(aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true,a,b),a) )],[refute_0_30,refute_0_31]) ).

cnf(refute_0_33,plain,
    a = b,
    inference(resolve,[$cnf( $equal(ifeq2(aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml)),c_translation_3)),true,a,b),b) )],[query41_1,refute_0_32]) ).

cnf(refute_0_34,plain,
    $false,
    inference(resolve,[$cnf( $equal(a,b) )],[refute_0_33,goal]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : CSR041-10 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.12  % Command  : metis --show proof --show saturation %s
% 0.13/0.33  % Computer : n019.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sat Jun 11 05:18:25 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.47  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47  
% 0.19/0.47  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.47  
%------------------------------------------------------------------------------