TSTP Solution File: CSR042+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : CSR042+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n011.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 : Tue Aug 22 10:35:49 EDT 2023

% Result   : Theorem 3.44s 1.78s
% Output   : CNFRefutation 3.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   26 (   5 unt;  16 typ;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   4   ~;   2   |;   0   &)
%                                         (   0 <=>;   3  =>;   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   :    6 (;   5   !;   1   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ isa > genls > genlpreds > genlinverse > disjointwith > borderson > thing > predicate > mtvisible > geographicalregion > collection > binarypredicate > #nlpp > c_tptpgeo_member7_mt > c_georegion_l4_x27_y65 > c_georegion_l4_x27_y64 > c_basekb

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(mtvisible,type,
    mtvisible: $i > $o ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(f_175,negated_conjecture,
    ~ ? [ARG1] :
        ( mtvisible(c_tptpgeo_member7_mt)
       => borderson(ARG1,c_georegion_l4_x27_y64) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query42) ).

tff(f_37,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) ).

tff(f_167,axiom,
    ! [X,Y] :
      ( borderson(X,Y)
     => borderson(Y,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just28) ).

tff(c_62,plain,
    ! [ARG1_60] : ~ borderson(ARG1_60,c_georegion_l4_x27_y64),
    inference(cnfTransformation,[status(thm)],[f_175]) ).

tff(c_60,plain,
    mtvisible(c_tptpgeo_member7_mt),
    inference(cnfTransformation,[status(thm)],[f_175]) ).

tff(c_2,plain,
    ( borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(cnfTransformation,[status(thm)],[f_37]) ).

tff(c_64,plain,
    borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65),
    inference(demodulation,[status(thm),theory(equality)],[c_60,c_2]) ).

tff(c_95,plain,
    ! [Y_86,X_87] :
      ( borderson(Y_86,X_87)
      | ~ borderson(X_87,Y_86) ),
    inference(cnfTransformation,[status(thm)],[f_167]) ).

tff(c_97,plain,
    borderson(c_georegion_l4_x27_y65,c_georegion_l4_x27_y64),
    inference(resolution,[status(thm)],[c_64,c_95]) ).

tff(c_101,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_62,c_97]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : CSR042+1 : TPTP v8.1.2. Released v3.4.0.
% 0.14/0.15  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.37  % Computer : n011.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 300
% 0.15/0.37  % DateTime : Thu Aug  3 21:05:21 EDT 2023
% 0.15/0.37  % CPUTime  : 
% 3.44/1.78  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.44/1.78  
% 3.44/1.78  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.44/1.81  
% 3.44/1.81  Inference rules
% 3.44/1.81  ----------------------
% 3.44/1.81  #Ref     : 0
% 3.44/1.81  #Sup     : 5
% 3.44/1.81  #Fact    : 0
% 3.44/1.81  #Define  : 0
% 3.44/1.81  #Split   : 0
% 3.44/1.81  #Chain   : 0
% 3.44/1.81  #Close   : 0
% 3.44/1.81  
% 3.44/1.81  Ordering : KBO
% 3.44/1.81  
% 3.44/1.81  Simplification rules
% 3.44/1.81  ----------------------
% 3.44/1.81  #Subsume      : 5
% 3.44/1.81  #Demod        : 1
% 3.44/1.81  #Tautology    : 2
% 3.44/1.81  #SimpNegUnit  : 1
% 3.44/1.81  #BackRed      : 0
% 3.44/1.81  
% 3.44/1.81  #Partial instantiations: 0
% 3.44/1.81  #Strategies tried      : 1
% 3.44/1.81  
% 3.44/1.81  Timing (in seconds)
% 3.44/1.81  ----------------------
% 3.44/1.81  Preprocessing        : 0.50
% 3.44/1.81  Parsing              : 0.28
% 3.44/1.81  CNF conversion       : 0.03
% 3.44/1.81  Main loop            : 0.22
% 3.44/1.81  Inferencing          : 0.09
% 3.44/1.81  Reduction            : 0.05
% 3.44/1.81  Demodulation         : 0.04
% 3.44/1.81  BG Simplification    : 0.02
% 3.44/1.81  Subsumption          : 0.05
% 3.44/1.81  Abstraction          : 0.01
% 3.44/1.81  MUC search           : 0.00
% 3.44/1.81  Cooper               : 0.00
% 3.44/1.81  Total                : 0.77
% 3.44/1.81  Index Insertion      : 0.00
% 3.44/1.81  Index Deletion       : 0.00
% 3.44/1.81  Index Matching       : 0.00
% 3.44/1.81  BG Taut test         : 0.00
%------------------------------------------------------------------------------