TSTP Solution File: CSR037+1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : CSR037+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 : n005.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 19:19:24 EDT 2023

% Result   : Theorem 0.18s 0.57s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   35
% Syntax   : Number of formulae    :   49 (   5 unt;  31 typ;   0 def)
%            Number of atoms       :   34 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   28 (  12   ~;   9   |;   2   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   24 (  17   >;   7   *;   0   +;   0  <<)
%            Number of predicates  :   18 (  17 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  14 con; 0-0 aty)
%            Number of variables   :   10 (   0 sgn;   6   !;   0   ?;   0   :)

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

tff(decl_23,type,
    c_basekb: $i ).

tff(decl_24,type,
    genlmt: ( $i * $i ) > $o ).

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

tff(decl_26,type,
    c_orderingpredicate: $i ).

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

tff(decl_28,type,
    genls: ( $i * $i ) > $o ).

tff(decl_29,type,
    orderingpredicate: $i > $o ).

tff(decl_30,type,
    transitivebinarypredicate: $i > $o ).

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

tff(decl_32,type,
    physicalorderingpredicate: $i > $o ).

tff(decl_33,type,
    c_genlmt: $i ).

tff(decl_34,type,
    c_universalvocabularymt: $i ).

tff(decl_35,type,
    c_geographicalsubregions: $i ).

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

tff(decl_37,type,
    c_tptpgeo_member7_mt: $i ).

tff(decl_38,type,
    mtvisible: $i > $o ).

tff(decl_39,type,
    c_georegion_l2_x5_y8: $i ).

tff(decl_40,type,
    c_georegion_l3_x15_y24: $i ).

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

tff(decl_42,type,
    c_georegion_l4_x45_y72: $i ).

tff(decl_43,type,
    isa: ( $i * $i ) > $o ).

tff(decl_44,type,
    disjointwith: ( $i * $i ) > $o ).

tff(decl_45,type,
    genlinverse: ( $i * $i ) > $o ).

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

tff(decl_47,type,
    predicate: $i > $o ).

tff(decl_48,type,
    binarypredicate: $i > $o ).

tff(decl_49,type,
    collection: $i > $o ).

tff(decl_50,type,
    geographicalregion: $i > $o ).

tff(decl_51,type,
    thing: $i > $o ).

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

fof(query37,conjecture,
    ( mtvisible(c_tptpgeo_member7_mt)
   => geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query37) ).

fof(just13,axiom,
    ( mtvisible(c_tptpgeo_member7_mt)
   => geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just13) ).

fof(just34,axiom,
    ! [X10,X11,X12] :
      ( ( geographicalsubregions(X10,X11)
        & geographicalsubregions(X11,X12) )
     => geographicalsubregions(X10,X12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just34) ).

fof(just12,axiom,
    ( mtvisible(c_tptpgeo_member7_mt)
   => geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just12) ).

fof(c_0_4,negated_conjecture,
    ~ ( mtvisible(c_tptpgeo_member7_mt)
     => geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) ),
    inference(assume_negation,[status(cth)],[query37]) ).

fof(c_0_5,plain,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) ),
    inference(fof_nnf,[status(thm)],[just13]) ).

fof(c_0_6,negated_conjecture,
    ( mtvisible(c_tptpgeo_member7_mt)
    & ~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) ),
    inference(fof_nnf,[status(thm)],[c_0_4]) ).

fof(c_0_7,plain,
    ! [X64,X65,X66] :
      ( ~ geographicalsubregions(X64,X65)
      | ~ geographicalsubregions(X65,X66)
      | geographicalsubregions(X64,X66) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just34])]) ).

cnf(c_0_8,plain,
    ( geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,negated_conjecture,
    mtvisible(c_tptpgeo_member7_mt),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_10,plain,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ),
    inference(fof_nnf,[status(thm)],[just12]) ).

cnf(c_0_11,plain,
    ( geographicalsubregions(X1,X3)
    | ~ geographicalsubregions(X1,X2)
    | ~ geographicalsubregions(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,plain,
    geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9])]) ).

cnf(c_0_13,plain,
    ( geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_14,negated_conjecture,
    ~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_15,plain,
    ( geographicalsubregions(X1,c_georegion_l4_x45_y72)
    | ~ geographicalsubregions(X1,c_georegion_l3_x15_y24) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_16,plain,
    geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_9])]) ).

cnf(c_0_17,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : CSR037+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
% 0.13/0.33  % Computer : n005.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    : 300
% 0.13/0.33  % DateTime   : Mon Aug 28 11:37:22 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.18/0.55  start to proof: theBenchmark
% 0.18/0.57  % Version  : CSE_E---1.5
% 0.18/0.57  % Problem  : theBenchmark.p
% 0.18/0.57  % Proof found
% 0.18/0.57  % SZS status Theorem for theBenchmark.p
% 0.18/0.57  % SZS output start Proof
% See solution above
% 0.18/0.57  % Total time : 0.010000 s
% 0.18/0.57  % SZS output end Proof
% 0.18/0.57  % Total time : 0.013000 s
%------------------------------------------------------------------------------