TSTP Solution File: CSR062+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : CSR062+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 : n004.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 10:36:05 EDT 2023

% Result   : Theorem 4.17s 1.94s
% Output   : CNFRefutation 4.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   43
% Syntax   : Number of formulae    :   63 (  15 unt;  35 typ;   0 def)
%            Number of atoms       :   43 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   27 (  12   ~;   8   |;   1   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   30 (  20   >;  10   *;   0   +;   0  <<)
%            Number of predicates  :   21 (  20 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;  15 con; 0-0 aty)
%            Number of variables   :   18 (;  17   !;   1   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ tptptypes_8_390 > tptptypes_7_389 > tptptypes_6_388 > tptptypes_5_387 > isa > genls > genlpreds > genlmt > genlinverse > disjointwith > transitivebinarypredicate > tptpcol_15_4027 > thing > pushingwithfingers > predicate > mtvisible > microtheory > firstordercollection > collection > binarypredicate > #nlpp > c_universalvocabularymt > c_transitivebinarypredicate > c_tptptypes_8_390 > c_tptptypes_7_389 > c_tptptypes_6_388 > c_tptptypes_5_387 > c_tptpcol_15_4027 > c_tptp_spindleheadmt > c_tptp_member3205_mt > c_pushingwithfingers > c_genlmt > c_cyclistsmt > c_calendarsvocabularymt > c_calendarsmt > c_basekb

%Foreground sorts:

%Background operators:

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

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

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

tff(c_tptpcol_15_4027,type,
    c_tptpcol_15_4027: $i ).

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

tff(c_tptp_member3205_mt,type,
    c_tptp_member3205_mt: $i ).

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

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

tff(tptptypes_6_388,type,
    tptptypes_6_388: ( $i * $i ) > $o ).

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

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

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

tff(c_tptptypes_7_389,type,
    c_tptptypes_7_389: $i ).

tff(c_tptptypes_6_388,type,
    c_tptptypes_6_388: $i ).

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

tff(tptptypes_8_390,type,
    tptptypes_8_390: ( $i * $i ) > $o ).

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

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

tff(tptpcol_15_4027,type,
    tptpcol_15_4027: $i > $o ).

tff(c_tptptypes_5_387,type,
    c_tptptypes_5_387: $i ).

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

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

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

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

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

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

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

tff(c_tptptypes_8_390,type,
    c_tptptypes_8_390: $i ).

tff(tptptypes_7_389,type,
    tptptypes_7_389: ( $i * $i ) > $o ).

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

tff(tptptypes_5_387,type,
    tptptypes_5_387: ( $i * $i ) > $o ).

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

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

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

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

tff(f_293,negated_conjecture,
    ~ ? [ARG1] :
        ( mtvisible(c_tptp_member3205_mt)
       => tptptypes_5_387(ARG1,c_pushingwithfingers) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query62) ).

tff(f_65,axiom,
    genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just13) ).

tff(f_256,axiom,
    ! [SPECMT,GENLMT] :
      ( ( mtvisible(SPECMT)
        & genlmt(SPECMT,GENLMT) )
     => mtvisible(GENLMT) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just53) ).

tff(f_69,axiom,
    ( mtvisible(c_cyclistsmt)
   => tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just14) ).

tff(f_63,axiom,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just12) ).

tff(f_61,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_8_390(ARG1,ARG2)
     => tptptypes_7_389(ARG1,ARG2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just11) ).

tff(f_55,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_7_389(ARG1,ARG2)
     => tptptypes_6_388(ARG2,ARG1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).

tff(f_49,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_6_388(ARG1,ARG2)
     => tptptypes_5_387(ARG1,ARG2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just7) ).

tff(c_126,plain,
    ! [ARG1_96] : ~ tptptypes_5_387(ARG1_96,c_pushingwithfingers),
    inference(cnfTransformation,[status(thm)],[f_293]) ).

tff(c_124,plain,
    mtvisible(c_tptp_member3205_mt),
    inference(cnfTransformation,[status(thm)],[f_293]) ).

tff(c_26,plain,
    genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
    inference(cnfTransformation,[status(thm)],[f_65]) ).

tff(c_308,plain,
    ! [GENLMT_157,SPECMT_158] :
      ( mtvisible(GENLMT_157)
      | ~ genlmt(SPECMT_158,GENLMT_157)
      | ~ mtvisible(SPECMT_158) ),
    inference(cnfTransformation,[status(thm)],[f_256]) ).

tff(c_329,plain,
    ( mtvisible(c_tptp_spindleheadmt)
    | ~ mtvisible(c_tptp_member3205_mt) ),
    inference(resolution,[status(thm)],[c_26,c_308]) ).

tff(c_343,plain,
    mtvisible(c_tptp_spindleheadmt),
    inference(demodulation,[status(thm),theory(equality)],[c_124,c_329]) ).

tff(c_28,plain,
    ( tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(cnfTransformation,[status(thm)],[f_69]) ).

tff(c_226,plain,
    ~ mtvisible(c_cyclistsmt),
    inference(splitLeft,[status(thm)],[c_28]) ).

tff(c_24,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(cnfTransformation,[status(thm)],[f_63]) ).

tff(c_317,plain,
    ( mtvisible(c_cyclistsmt)
    | ~ mtvisible(c_tptp_spindleheadmt) ),
    inference(resolution,[status(thm)],[c_24,c_308]) ).

tff(c_334,plain,
    ~ mtvisible(c_tptp_spindleheadmt),
    inference(negUnitSimplification,[status(thm)],[c_226,c_317]) ).

tff(c_345,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_343,c_334]) ).

tff(c_346,plain,
    tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027),
    inference(splitRight,[status(thm)],[c_28]) ).

tff(c_433,plain,
    ! [ARG1_166,ARG2_167] :
      ( tptptypes_7_389(ARG1_166,ARG2_167)
      | ~ tptptypes_8_390(ARG1_166,ARG2_167) ),
    inference(cnfTransformation,[status(thm)],[f_61]) ).

tff(c_437,plain,
    tptptypes_7_389(c_pushingwithfingers,c_tptpcol_15_4027),
    inference(resolution,[status(thm)],[c_346,c_433]) ).

tff(c_18,plain,
    ! [ARG2_4,ARG1_3] :
      ( tptptypes_6_388(ARG2_4,ARG1_3)
      | ~ tptptypes_7_389(ARG1_3,ARG2_4) ),
    inference(cnfTransformation,[status(thm)],[f_55]) ).

tff(c_448,plain,
    tptptypes_6_388(c_tptpcol_15_4027,c_pushingwithfingers),
    inference(resolution,[status(thm)],[c_437,c_18]) ).

tff(c_463,plain,
    ! [ARG1_170,ARG2_171] :
      ( tptptypes_5_387(ARG1_170,ARG2_171)
      | ~ tptptypes_6_388(ARG1_170,ARG2_171) ),
    inference(cnfTransformation,[status(thm)],[f_49]) ).

tff(c_466,plain,
    tptptypes_5_387(c_tptpcol_15_4027,c_pushingwithfingers),
    inference(resolution,[status(thm)],[c_448,c_463]) ).

tff(c_470,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_126,c_466]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : CSR062+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13  % 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
% 0.13/0.35  % Computer : n004.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu Aug  3 20:31:41 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 4.17/1.94  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.17/1.95  
% 4.17/1.95  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.17/1.98  
% 4.17/1.98  Inference rules
% 4.17/1.98  ----------------------
% 4.17/1.98  #Ref     : 0
% 4.17/1.98  #Sup     : 65
% 4.17/1.98  #Fact    : 0
% 4.17/1.98  #Define  : 0
% 4.17/1.98  #Split   : 4
% 4.17/1.98  #Chain   : 0
% 4.17/1.98  #Close   : 0
% 4.17/1.98  
% 4.17/1.98  Ordering : KBO
% 4.17/1.98  
% 4.17/1.98  Simplification rules
% 4.17/1.98  ----------------------
% 4.17/1.98  #Subsume      : 15
% 4.17/1.98  #Demod        : 19
% 4.17/1.98  #Tautology    : 28
% 4.17/1.98  #SimpNegUnit  : 6
% 4.17/1.98  #BackRed      : 4
% 4.17/1.98  
% 4.17/1.98  #Partial instantiations: 0
% 4.17/1.98  #Strategies tried      : 1
% 4.17/1.98  
% 4.17/1.98  Timing (in seconds)
% 4.17/1.98  ----------------------
% 4.17/1.98  Preprocessing        : 0.56
% 4.17/1.98  Parsing              : 0.31
% 4.17/1.98  CNF conversion       : 0.04
% 4.17/1.98  Main loop            : 0.42
% 4.17/1.98  Inferencing          : 0.16
% 4.17/1.98  Reduction            : 0.12
% 4.17/1.98  Demodulation         : 0.08
% 4.17/1.98  BG Simplification    : 0.03
% 4.17/1.98  Subsumption          : 0.07
% 4.17/1.98  Abstraction          : 0.01
% 4.17/1.98  MUC search           : 0.00
% 4.17/1.98  Cooper               : 0.00
% 4.17/1.98  Total                : 1.03
% 4.17/1.98  Index Insertion      : 0.00
% 4.17/1.98  Index Deletion       : 0.00
% 4.17/1.98  Index Matching       : 0.00
% 4.17/1.98  BG Taut test         : 0.00
%------------------------------------------------------------------------------