TSTP Solution File: CSR070+1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : CSR070+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n014.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  : 300s
% DateTime : Wed Aug 30 20:26:17 EDT 2023

% Result   : Theorem 0.19s 0.58s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   61
% Syntax   : Number of formulae    :   83 (   7 unt;  53 typ;   0 def)
%            Number of atoms       :   56 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   47 (  21   ~;  16   |;   2   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   45 (  28   >;  17   *;   0   +;   0  <<)
%            Number of predicates  :   28 (  27 usr;   1 prp; 0-3 aty)
%            Number of functors    :   26 (  26 usr;  25 con; 0-3 aty)
%            Number of variables   :   30 (   0 sgn;  20   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    c_genlpreds: $i ).

tff(decl_23,type,
    transitivebinarypredicate: $i > $o ).

tff(decl_24,type,
    c_calendarsmt: $i ).

tff(decl_25,type,
    c_calendarsvocabularymt: $i ).

tff(decl_26,type,
    genlmt: ( $i * $i ) > $o ).

tff(decl_27,type,
    c_genlmt: $i ).

tff(decl_28,type,
    c_basekb: $i ).

tff(decl_29,type,
    c_universalvocabularymt: $i ).

tff(decl_30,type,
    c_cyclistsmt: $i ).

tff(decl_31,type,
    c_tptptypes_6_818: $i ).

tff(decl_32,type,
    c_tptptypes_5_802: $i ).

tff(decl_33,type,
    genlpreds: ( $i * $i ) > $o ).

tff(decl_34,type,
    tptptypes_6_818: ( $i * $i ) > $o ).

tff(decl_35,type,
    tptptypes_5_802: ( $i * $i ) > $o ).

tff(decl_36,type,
    c_tptptypes_7_819: $i ).

tff(decl_37,type,
    tptptypes_7_819: ( $i * $i ) > $o ).

tff(decl_38,type,
    c_tptptypes_8_823: $i ).

tff(decl_39,type,
    tptptypes_8_823: ( $i * $i ) > $o ).

tff(decl_40,type,
    c_tptptypes_9_824: $i ).

tff(decl_41,type,
    tptptypes_9_824: ( $i * $i ) > $o ).

tff(decl_42,type,
    c_tptp_spindleheadmt: $i ).

tff(decl_43,type,
    c_tptp_spindlecollectormt: $i ).

tff(decl_44,type,
    c_tptp_member2668_mt: $i ).

tff(decl_45,type,
    c_tptp_member3993_mt: $i ).

tff(decl_46,type,
    mtvisible: $i > $o ).

tff(decl_47,type,
    c_orientationvector: $i ).

tff(decl_48,type,
    c_orientation: $i ).

tff(decl_49,type,
    c_partiallytangible: $i ).

tff(decl_50,type,
    f_subcollectionofwithrelationfromtypefn: ( $i * $i * $i ) > $i ).

tff(decl_51,type,
    c_tptpcol_16_8886: $i ).

tff(decl_52,type,
    isa: ( $i * $i ) > $o ).

tff(decl_53,type,
    disjointwith: ( $i * $i ) > $o ).

tff(decl_54,type,
    genlinverse: ( $i * $i ) > $o ).

tff(decl_55,type,
    binarypredicate: $i > $o ).

tff(decl_56,type,
    collection: $i > $o ).

tff(decl_57,type,
    genls: ( $i * $i ) > $o ).

tff(decl_58,type,
    tptpcol_16_8886: $i > $o ).

tff(decl_59,type,
    partiallytangible: $i > $o ).

tff(decl_60,type,
    orientation: ( $i * $i ) > $o ).

tff(decl_61,type,
    orientationvector: $i > $o ).

tff(decl_62,type,
    spatialthing_localized: $i > $o ).

tff(decl_63,type,
    c_subcollectionofwithrelationfromtypefn: $i ).

tff(decl_64,type,
    natfunction: ( $i * $i ) > $o ).

tff(decl_65,type,
    n_1: $i ).

tff(decl_66,type,
    natargument: ( $i * $i * $i ) > $o ).

tff(decl_67,type,
    n_2: $i ).

tff(decl_68,type,
    n_3: $i ).

tff(decl_69,type,
    subcollectionofwithrelationfromtypefnorientationvectororientationpartiallytangible: $i > $o ).

tff(decl_70,type,
    firstordercollection: $i > $o ).

tff(decl_71,type,
    microtheory: $i > $o ).

tff(decl_72,type,
    c_transitivebinarypredicate: $i ).

tff(decl_73,type,
    predicate: $i > $o ).

tff(decl_74,type,
    thing: $i > $o ).

fof(just14,axiom,
    ! [X1,X2] :
      ( tptptypes_9_824(X1,X2)
     => tptptypes_8_823(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just14) ).

fof(just19,axiom,
    ( mtvisible(c_tptp_member2668_mt)
   => tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just19) ).

fof(query70,conjecture,
    ( mtvisible(c_tptp_spindlecollectormt)
   => tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query70) ).

fof(just12,axiom,
    ! [X1,X2] :
      ( tptptypes_8_823(X1,X2)
     => tptptypes_7_819(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just12) ).

fof(just8,axiom,
    ! [X1,X2] :
      ( tptptypes_6_818(X1,X2)
     => tptptypes_5_802(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just8) ).

fof(just10,axiom,
    ! [X1,X2] :
      ( tptptypes_7_819(X1,X2)
     => tptptypes_6_818(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just10) ).

fof(just57,axiom,
    ! [X15,X16] :
      ( ( mtvisible(X15)
        & genlmt(X15,X16) )
     => mtvisible(X16) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just57) ).

fof(just16,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just16) ).

fof(c_0_8,plain,
    ! [X24,X25] :
      ( ~ tptptypes_9_824(X24,X25)
      | tptptypes_8_823(X24,X25) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just14])]) ).

fof(c_0_9,plain,
    ( ~ mtvisible(c_tptp_member2668_mt)
    | tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    inference(fof_nnf,[status(thm)],[just19]) ).

fof(c_0_10,negated_conjecture,
    ~ ( mtvisible(c_tptp_spindlecollectormt)
     => tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    inference(assume_negation,[status(cth)],[query70]) ).

fof(c_0_11,plain,
    ! [X22,X23] :
      ( ~ tptptypes_8_823(X22,X23)
      | tptptypes_7_819(X22,X23) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just12])]) ).

cnf(c_0_12,plain,
    ( tptptypes_8_823(X1,X2)
    | ~ tptptypes_9_824(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,plain,
    ( tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | ~ mtvisible(c_tptp_member2668_mt) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

fof(c_0_14,negated_conjecture,
    ( mtvisible(c_tptp_spindlecollectormt)
    & ~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    inference(fof_nnf,[status(thm)],[c_0_10]) ).

fof(c_0_15,plain,
    ! [X18,X19] :
      ( ~ tptptypes_6_818(X18,X19)
      | tptptypes_5_802(X18,X19) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just8])]) ).

fof(c_0_16,plain,
    ! [X20,X21] :
      ( ~ tptptypes_7_819(X20,X21)
      | tptptypes_6_818(X20,X21) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just10])]) ).

cnf(c_0_17,plain,
    ( tptptypes_7_819(X1,X2)
    | ~ tptptypes_8_823(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_18,plain,
    ( tptptypes_8_823(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | ~ mtvisible(c_tptp_member2668_mt) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_19,negated_conjecture,
    ~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_20,plain,
    ( tptptypes_5_802(X1,X2)
    | ~ tptptypes_6_818(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_21,plain,
    ! [X101,X102] :
      ( ~ mtvisible(X101)
      | ~ genlmt(X101,X102)
      | mtvisible(X102) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just57])]) ).

cnf(c_0_22,plain,
    ( tptptypes_6_818(X1,X2)
    | ~ tptptypes_7_819(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_23,plain,
    ( tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | ~ mtvisible(c_tptp_member2668_mt) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_24,negated_conjecture,
    ~ tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_25,plain,
    ( mtvisible(X2)
    | ~ mtvisible(X1)
    | ~ genlmt(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_26,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
    inference(split_conjunct,[status(thm)],[just16]) ).

cnf(c_0_27,negated_conjecture,
    mtvisible(c_tptp_spindlecollectormt),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_28,plain,
    ~ mtvisible(c_tptp_member2668_mt),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).

cnf(c_0_29,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]),c_0_28]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : CSR070+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.17/0.34  % Computer : n014.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit   : 300
% 0.17/0.34  % WCLimit    : 300
% 0.17/0.34  % DateTime   : Mon Aug 28 13:22:15 EDT 2023
% 0.17/0.34  % CPUTime  : 
% 0.19/0.56  start to proof: theBenchmark
% 0.19/0.58  % Version  : CSE_E---1.5
% 0.19/0.58  % Problem  : theBenchmark.p
% 0.19/0.58  % Proof found
% 0.19/0.58  % SZS status Theorem for theBenchmark.p
% 0.19/0.58  % SZS output start Proof
% See solution above
% 0.19/0.59  % Total time : 0.011000 s
% 0.19/0.59  % SZS output end Proof
% 0.19/0.59  % Total time : 0.015000 s
%------------------------------------------------------------------------------