TSTP Solution File: GEO566+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : GEO566+1 : TPTP v8.1.2. Released v7.5.0.
% 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 : n008.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 10:39:17 EDT 2023

% Result   : Theorem 18.04s 7.37s
% Output   : CNFRefutation 18.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   43
% Syntax   : Number of formulae    :   85 (  27 unt;  39 typ;   0 def)
%            Number of atoms       :   77 (   0 equ)
%            Maximal formula atoms :   11 (   1 avg)
%            Number of connectives :   50 (  19   ~;  17   |;  10   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  151 (  31   >; 120   *;   0   +;   0  <<)
%            Number of predicates  :   12 (  11 usr;   1 prp; 0-8 aty)
%            Number of functors    :   28 (  28 usr;   8 con; 0-7 aty)
%            Number of variables   :   45 (;  45   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ eqratio > eqangle > simtri > contri > perp > para > cyclic > cong > circle > midp > coll > #nlpp > #skF_25 > #skF_10 > #skF_14 > #skF_13 > #skF_12 > #skF_5 > #skF_26 > #skF_15 > #skF_2 > #skF_19 > #skF_16 > #skF_8 > #skF_11 > #skF_21 > #skF_4 > #skF_22 > #skF_17 > #skF_28 > #skF_9 > #skF_24 > #skF_27 > #skF_23 > #skF_3 > #skF_20 > #skF_7 > #skF_6 > #skF_1 > #skF_18

%Foreground sorts:

%Background operators:

%Foreground operators:
tff('#skF_25',type,
    '#skF_25': $i ).

tff('#skF_10',type,
    '#skF_10': ( $i * $i * $i * $i ) > $i ).

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

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

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

tff('#skF_14',type,
    '#skF_14': ( $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_13',type,
    '#skF_13': ( $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_12',type,
    '#skF_12': ( $i * $i * $i * $i ) > $i ).

tff('#skF_5',type,
    '#skF_5': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_26',type,
    '#skF_26': $i ).

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

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

tff('#skF_15',type,
    '#skF_15': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_2',type,
    '#skF_2': ( $i * $i * $i * $i ) > $i ).

tff('#skF_19',type,
    '#skF_19': ( $i * $i * $i ) > $i ).

tff('#skF_16',type,
    '#skF_16': ( $i * $i * $i * $i ) > $i ).

tff('#skF_8',type,
    '#skF_8': ( $i * $i * $i * $i * $i * $i ) > $i ).

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

tff('#skF_11',type,
    '#skF_11': ( $i * $i * $i * $i ) > $i ).

tff('#skF_21',type,
    '#skF_21': $i ).

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

tff('#skF_4',type,
    '#skF_4': ( $i * $i * $i * $i ) > $i ).

tff('#skF_22',type,
    '#skF_22': $i ).

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

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

tff('#skF_17',type,
    '#skF_17': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_28',type,
    '#skF_28': $i ).

tff('#skF_9',type,
    '#skF_9': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_24',type,
    '#skF_24': $i ).

tff('#skF_27',type,
    '#skF_27': $i ).

tff('#skF_23',type,
    '#skF_23': $i ).

tff('#skF_3',type,
    '#skF_3': ( $i * $i * $i * $i ) > $i ).

tff('#skF_20',type,
    '#skF_20': ( $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_7',type,
    '#skF_7': ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

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

tff('#skF_6',type,
    '#skF_6': ( $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_1',type,
    '#skF_1': ( $i * $i * $i * $i ) > $i ).

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

tff('#skF_18',type,
    '#skF_18': ( $i * $i * $i * $i * $i ) > $i ).

tff(f_676,negated_conjecture,
    ~ ! [A,B,C,F,H,T,Q,P] :
        ( ( perp(F,C,A,B)
          & coll(F,A,B)
          & perp(B,C,A,H)
          & perp(A,C,B,H)
          & perp(T,F,B,C)
          & coll(T,B,C)
          & perp(Q,F,A,H)
          & coll(Q,A,H)
          & perp(P,F,A,C)
          & coll(P,A,C) )
       => coll(P,Q,T) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL214028) ).

tff(f_55,axiom,
    ! [A,B,C] :
      ( coll(A,B,C)
     => coll(A,C,B) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).

tff(f_65,axiom,
    ! [A,B,C,D] :
      ( ( coll(A,B,C)
        & coll(A,B,D) )
     => coll(C,D,A) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).

tff(f_59,axiom,
    ! [A,B,C] :
      ( coll(A,B,C)
     => coll(B,A,C) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).

tff(c_228,plain,
    ~ coll('#skF_28','#skF_27','#skF_26'),
    inference(cnfTransformation,[status(thm)],[f_676]) ).

tff(c_230,plain,
    coll('#skF_28','#skF_21','#skF_23'),
    inference(cnfTransformation,[status(thm)],[f_676]) ).

tff(c_268,plain,
    ! [A_532,C_533,B_534] :
      ( coll(A_532,C_533,B_534)
      | ~ coll(A_532,B_534,C_533) ),
    inference(cnfTransformation,[status(thm)],[f_55]) ).

tff(c_281,plain,
    coll('#skF_28','#skF_23','#skF_21'),
    inference(resolution,[status(thm)],[c_230,c_268]) ).

tff(c_827,plain,
    ! [C_601,D_602,A_603,B_604] :
      ( coll(C_601,D_602,A_603)
      | ~ coll(A_603,B_604,D_602)
      | ~ coll(A_603,B_604,C_601) ),
    inference(cnfTransformation,[status(thm)],[f_65]) ).

tff(c_1518,plain,
    ! [C_635] :
      ( coll(C_635,'#skF_21','#skF_28')
      | ~ coll('#skF_28','#skF_23',C_635) ),
    inference(resolution,[status(thm)],[c_281,c_827]) ).

tff(c_1525,plain,
    coll('#skF_21','#skF_21','#skF_28'),
    inference(resolution,[status(thm)],[c_281,c_1518]) ).

tff(c_234,plain,
    coll('#skF_27','#skF_21','#skF_25'),
    inference(cnfTransformation,[status(thm)],[f_676]) ).

tff(c_282,plain,
    coll('#skF_27','#skF_25','#skF_21'),
    inference(resolution,[status(thm)],[c_234,c_268]) ).

tff(c_1597,plain,
    ! [C_642] :
      ( coll(C_642,'#skF_21','#skF_27')
      | ~ coll('#skF_27','#skF_25',C_642) ),
    inference(resolution,[status(thm)],[c_282,c_827]) ).

tff(c_1604,plain,
    coll('#skF_21','#skF_21','#skF_27'),
    inference(resolution,[status(thm)],[c_282,c_1597]) ).

tff(c_6,plain,
    ! [C_9,D_10,A_7,B_8] :
      ( coll(C_9,D_10,A_7)
      | ~ coll(A_7,B_8,D_10)
      | ~ coll(A_7,B_8,C_9) ),
    inference(cnfTransformation,[status(thm)],[f_65]) ).

tff(c_6301,plain,
    ! [C_927] :
      ( coll(C_927,'#skF_27','#skF_21')
      | ~ coll('#skF_21','#skF_21',C_927) ),
    inference(resolution,[status(thm)],[c_1604,c_6]) ).

tff(c_6323,plain,
    coll('#skF_28','#skF_27','#skF_21'),
    inference(resolution,[status(thm)],[c_1525,c_6301]) ).

tff(c_2,plain,
    ! [A_1,C_3,B_2] :
      ( coll(A_1,C_3,B_2)
      | ~ coll(A_1,B_2,C_3) ),
    inference(cnfTransformation,[status(thm)],[f_55]) ).

tff(c_6335,plain,
    coll('#skF_28','#skF_21','#skF_27'),
    inference(resolution,[status(thm)],[c_6323,c_2]) ).

tff(c_897,plain,
    ! [C_601] :
      ( coll(C_601,'#skF_23','#skF_28')
      | ~ coll('#skF_28','#skF_21',C_601) ),
    inference(resolution,[status(thm)],[c_230,c_827]) ).

tff(c_6377,plain,
    coll('#skF_27','#skF_23','#skF_28'),
    inference(resolution,[status(thm)],[c_6335,c_897]) ).

tff(c_4,plain,
    ! [B_5,A_4,C_6] :
      ( coll(B_5,A_4,C_6)
      | ~ coll(A_4,B_5,C_6) ),
    inference(cnfTransformation,[status(thm)],[f_59]) ).

tff(c_6409,plain,
    coll('#skF_23','#skF_27','#skF_28'),
    inference(resolution,[status(thm)],[c_6377,c_4]) ).

tff(c_6508,plain,
    coll('#skF_23','#skF_28','#skF_27'),
    inference(resolution,[status(thm)],[c_6409,c_2]) ).

tff(c_924,plain,
    ! [C_606] :
      ( coll(C_606,'#skF_23','#skF_28')
      | ~ coll('#skF_28','#skF_21',C_606) ),
    inference(resolution,[status(thm)],[c_230,c_827]) ).

tff(c_927,plain,
    coll('#skF_23','#skF_23','#skF_28'),
    inference(resolution,[status(thm)],[c_230,c_924]) ).

tff(c_935,plain,
    coll('#skF_23','#skF_28','#skF_23'),
    inference(resolution,[status(thm)],[c_927,c_2]) ).

tff(c_944,plain,
    ! [C_9] :
      ( coll(C_9,'#skF_23','#skF_23')
      | ~ coll('#skF_23','#skF_28',C_9) ),
    inference(resolution,[status(thm)],[c_935,c_6]) ).

tff(c_6686,plain,
    coll('#skF_27','#skF_23','#skF_23'),
    inference(resolution,[status(thm)],[c_6508,c_944]) ).

tff(c_6746,plain,
    coll('#skF_23','#skF_27','#skF_23'),
    inference(resolution,[status(thm)],[c_6686,c_4]) ).

tff(c_6920,plain,
    coll('#skF_23','#skF_23','#skF_27'),
    inference(resolution,[status(thm)],[c_6746,c_2]) ).

tff(c_238,plain,
    coll('#skF_26','#skF_22','#skF_23'),
    inference(cnfTransformation,[status(thm)],[f_676]) ).

tff(c_900,plain,
    ! [C_605] :
      ( coll(C_605,'#skF_23','#skF_26')
      | ~ coll('#skF_26','#skF_22',C_605) ),
    inference(resolution,[status(thm)],[c_238,c_827]) ).

tff(c_903,plain,
    coll('#skF_23','#skF_23','#skF_26'),
    inference(resolution,[status(thm)],[c_238,c_900]) ).

tff(c_910,plain,
    ! [C_9] :
      ( coll(C_9,'#skF_26','#skF_23')
      | ~ coll('#skF_23','#skF_23',C_9) ),
    inference(resolution,[status(thm)],[c_903,c_6]) ).

tff(c_7017,plain,
    coll('#skF_27','#skF_26','#skF_23'),
    inference(resolution,[status(thm)],[c_6920,c_910]) ).

tff(c_7105,plain,
    coll('#skF_26','#skF_27','#skF_23'),
    inference(resolution,[status(thm)],[c_7017,c_4]) ).

tff(c_7323,plain,
    coll('#skF_26','#skF_23','#skF_27'),
    inference(resolution,[status(thm)],[c_7105,c_2]) ).

tff(c_1860,plain,
    ! [C_664] :
      ( coll(C_664,'#skF_28','#skF_23')
      | ~ coll('#skF_23','#skF_23',C_664) ),
    inference(resolution,[status(thm)],[c_927,c_6]) ).

tff(c_1873,plain,
    coll('#skF_26','#skF_28','#skF_23'),
    inference(resolution,[status(thm)],[c_903,c_1860]) ).

tff(c_1906,plain,
    coll('#skF_26','#skF_23','#skF_28'),
    inference(resolution,[status(thm)],[c_1873,c_2]) ).

tff(c_13255,plain,
    ! [C_1267] :
      ( coll(C_1267,'#skF_28','#skF_26')
      | ~ coll('#skF_26','#skF_23',C_1267) ),
    inference(resolution,[status(thm)],[c_1906,c_6]) ).

tff(c_13275,plain,
    coll('#skF_27','#skF_28','#skF_26'),
    inference(resolution,[status(thm)],[c_7323,c_13255]) ).

tff(c_13304,plain,
    coll('#skF_28','#skF_27','#skF_26'),
    inference(resolution,[status(thm)],[c_13275,c_4]) ).

tff(c_13310,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_228,c_13304]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : GEO566+1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.14  % 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 : n008.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 : Fri Aug  4 00:31:48 EDT 2023
% 0.13/0.36  % CPUTime  : 
% 18.04/7.37  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.04/7.38  
% 18.04/7.38  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 18.04/7.42  
% 18.04/7.42  Inference rules
% 18.04/7.42  ----------------------
% 18.04/7.42  #Ref     : 0
% 18.04/7.42  #Sup     : 3524
% 18.04/7.42  #Fact    : 0
% 18.04/7.42  #Define  : 0
% 18.04/7.42  #Split   : 18
% 18.04/7.42  #Chain   : 0
% 18.04/7.42  #Close   : 0
% 18.04/7.42  
% 18.04/7.42  Ordering : KBO
% 18.04/7.42  
% 18.04/7.42  Simplification rules
% 18.04/7.42  ----------------------
% 18.04/7.42  #Subsume      : 76
% 18.04/7.42  #Demod        : 1359
% 18.04/7.42  #Tautology    : 1385
% 18.04/7.42  #SimpNegUnit  : 1
% 18.04/7.42  #BackRed      : 0
% 18.04/7.42  
% 18.04/7.42  #Partial instantiations: 0
% 18.04/7.42  #Strategies tried      : 1
% 18.04/7.42  
% 18.04/7.42  Timing (in seconds)
% 18.04/7.42  ----------------------
% 18.04/7.42  Preprocessing        : 0.73
% 18.04/7.42  Parsing              : 0.40
% 18.04/7.42  CNF conversion       : 0.07
% 18.04/7.42  Main loop            : 5.61
% 18.04/7.42  Inferencing          : 1.55
% 18.04/7.42  Reduction            : 2.37
% 18.04/7.42  Demodulation         : 1.89
% 18.04/7.42  BG Simplification    : 0.08
% 18.04/7.42  Subsumption          : 1.37
% 18.04/7.42  Abstraction          : 0.06
% 18.04/7.43  MUC search           : 0.00
% 18.04/7.43  Cooper               : 0.00
% 18.04/7.43  Total                : 6.40
% 18.04/7.43  Index Insertion      : 0.00
% 18.04/7.43  Index Deletion       : 0.00
% 18.04/7.43  Index Matching       : 0.00
% 18.04/7.43  BG Taut test         : 0.00
%------------------------------------------------------------------------------