TSTP Solution File: CSR042+1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : CSR042+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 : n015.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 19:26:00 EDT 2023

% Result   : Theorem 0.18s 0.58s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   29 (   4 unt;  16 typ;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   16 (   7   ~;   4   |;   1   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   18 (  12   >;   6   *;   0   +;   0  <<)
%            Number of predicates  :   13 (  12 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   10 (   1 sgn;   5   !;   2   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    c_tptpgeo_member7_mt: $i ).

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

tff(decl_24,type,
    c_georegion_l4_x27_y64: $i ).

tff(decl_25,type,
    c_georegion_l4_x27_y65: $i ).

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

tff(decl_27,type,
    isa: ( $i * $i ) > $o ).

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

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

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

tff(decl_31,type,
    predicate: $i > $o ).

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

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

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

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

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

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

fof(query42,conjecture,
    ? [X7] :
      ( mtvisible(c_tptpgeo_member7_mt)
     => borderson(X7,c_georegion_l4_x27_y64) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query42) ).

fof(just1,axiom,
    ( mtvisible(c_tptpgeo_member7_mt)
   => borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just1) ).

fof(just28,axiom,
    ! [X10,X11] :
      ( borderson(X10,X11)
     => borderson(X11,X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just28) ).

fof(c_0_3,negated_conjecture,
    ~ ? [X7] :
        ( mtvisible(c_tptpgeo_member7_mt)
       => borderson(X7,c_georegion_l4_x27_y64) ),
    inference(assume_negation,[status(cth)],[query42]) ).

fof(c_0_4,plain,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65) ),
    inference(fof_nnf,[status(thm)],[just1]) ).

fof(c_0_5,negated_conjecture,
    ! [X74] :
      ( mtvisible(c_tptpgeo_member7_mt)
      & ~ borderson(X74,c_georegion_l4_x27_y64) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])]) ).

fof(c_0_6,plain,
    ! [X71,X72] :
      ( ~ borderson(X71,X72)
      | borderson(X72,X71) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just28])]) ).

cnf(c_0_7,plain,
    ( borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    mtvisible(c_tptpgeo_member7_mt),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    ( borderson(X2,X1)
    | ~ borderson(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8])]) ).

cnf(c_0_11,negated_conjecture,
    ~ borderson(X1,c_georegion_l4_x27_y64),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_12,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : CSR042+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
% 0.12/0.33  % Computer : n015.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    : 300
% 0.12/0.33  % DateTime   : Mon Aug 28 12:41:40 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.18/0.56  start to proof: theBenchmark
% 0.18/0.57  % Version  : CSE_E---1.5
% 0.18/0.57  % Problem  : theBenchmark.p
% 0.18/0.58  % Proof found
% 0.18/0.58  % SZS status Theorem for theBenchmark.p
% 0.18/0.58  % SZS output start Proof
% See solution above
% 0.18/0.58  % Total time : 0.008000 s
% 0.18/0.58  % SZS output end Proof
% 0.18/0.58  % Total time : 0.011000 s
%------------------------------------------------------------------------------