TSTP Solution File: GEO081-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : GEO081-1 : TPTP v8.1.2. Released v2.4.0.
% 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 10:38:07 EDT 2023

% Result   : Unsatisfiable 47.43s 33.07s
% Output   : CNFRefutation 47.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   30
% Syntax   : Number of formulae    :   43 (   8 unt;  24 typ;   0 def)
%            Number of atoms       :   37 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   34 (  16   ~;  18   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   40 (  21   >;  19   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :   17 (  17 usr;   3 con; 0-3 aty)
%            Number of variables   :   27 (;  27   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ meet > part_of > inner_point > incident_c > end_point > open > closed > ax0_sk5 > ax0_sk2 > sum > ax0_sk9 > ax0_sk4 > ax0_sk3 > ax0_sk13 > ax0_sk12 > ax0_sk11 > ax0_sk10 > ax0_sk1 > #nlpp > ax0_sk8 > ax0_sk7 > ax0_sk6 > sk16 > sk15 > sk14

%Foreground sorts:

%Background operators:

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

tff(ax0_sk8,type,
    ax0_sk8: $i > $i ).

tff(ax0_sk9,type,
    ax0_sk9: ( $i * $i ) > $i ).

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

tff(sk16,type,
    sk16: $i ).

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

tff(ax0_sk12,type,
    ax0_sk12: ( $i * $i ) > $i ).

tff(ax0_sk13,type,
    ax0_sk13: ( $i * $i ) > $i ).

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

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

tff(ax0_sk4,type,
    ax0_sk4: ( $i * $i ) > $i ).

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

tff(sum,type,
    sum: ( $i * $i ) > $i ).

tff(ax0_sk11,type,
    ax0_sk11: ( $i * $i ) > $i ).

tff(sk14,type,
    sk14: $i ).

tff(ax0_sk1,type,
    ax0_sk1: ( $i * $i ) > $i ).

tff(ax0_sk2,type,
    ax0_sk2: ( $i * $i * $i ) > $i ).

tff(sk15,type,
    sk15: $i ).

tff(ax0_sk7,type,
    ax0_sk7: $i > $i ).

tff(ax0_sk10,type,
    ax0_sk10: ( $i * $i ) > $i ).

tff(ax0_sk3,type,
    ax0_sk3: ( $i * $i ) > $i ).

tff(ax0_sk5,type,
    ax0_sk5: ( $i * $i * $i ) > $i ).

tff(ax0_sk6,type,
    ax0_sk6: $i > $i ).

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

tff(f_433,axiom,
    part_of(sk14,sk15),
    file(unknown,unknown) ).

tff(f_434,axiom,
    part_of(sk15,sk16),
    file(unknown,unknown) ).

tff(f_56,axiom,
    ! [A,B] :
      ( incident_c(ax0_sk1(A,B),A)
      | part_of(A,B) ),
    file(unknown,unknown) ).

tff(f_52,axiom,
    ! [A,B,C] :
      ( ~ part_of(A,B)
      | ~ incident_c(C,A)
      | incident_c(C,B) ),
    file(unknown,unknown) ).

tff(f_61,axiom,
    ! [A,B] :
      ( ~ incident_c(ax0_sk1(A,B),B)
      | part_of(A,B) ),
    file(unknown,unknown) ).

tff(f_436,axiom,
    ~ part_of(sk14,sk16),
    file(unknown,unknown) ).

tff(c_98,plain,
    part_of(sk14,sk15),
    inference(cnfTransformation,[status(thm)],[f_433]) ).

tff(c_100,plain,
    part_of(sk15,sk16),
    inference(cnfTransformation,[status(thm)],[f_434]) ).

tff(c_4,plain,
    ! [A_4,B_5] :
      ( part_of(A_4,B_5)
      | incident_c(ax0_sk1(A_4,B_5),A_4) ),
    inference(cnfTransformation,[status(thm)],[f_56]) ).

tff(c_229,plain,
    ! [C_167,B_168,A_169] :
      ( incident_c(C_167,B_168)
      | ~ incident_c(C_167,A_169)
      | ~ part_of(A_169,B_168) ),
    inference(cnfTransformation,[status(thm)],[f_52]) ).

tff(c_455,plain,
    ! [A_226,B_227,B_228] :
      ( incident_c(ax0_sk1(A_226,B_227),B_228)
      | ~ part_of(A_226,B_228)
      | part_of(A_226,B_227) ),
    inference(resolution,[status(thm)],[c_4,c_229]) ).

tff(c_2,plain,
    ! [C_3,B_2,A_1] :
      ( incident_c(C_3,B_2)
      | ~ incident_c(C_3,A_1)
      | ~ part_of(A_1,B_2) ),
    inference(cnfTransformation,[status(thm)],[f_52]) ).

tff(c_527088,plain,
    ! [A_193582,B_193583,B_193584,B_193585] :
      ( incident_c(ax0_sk1(A_193582,B_193583),B_193584)
      | ~ part_of(B_193585,B_193584)
      | ~ part_of(A_193582,B_193585)
      | part_of(A_193582,B_193583) ),
    inference(resolution,[status(thm)],[c_455,c_2]) ).

tff(c_531761,plain,
    ! [A_197065,B_197066] :
      ( incident_c(ax0_sk1(A_197065,B_197066),sk16)
      | ~ part_of(A_197065,sk15)
      | part_of(A_197065,B_197066) ),
    inference(resolution,[status(thm)],[c_100,c_527088]) ).

tff(c_6,plain,
    ! [A_6,B_7] :
      ( part_of(A_6,B_7)
      | ~ incident_c(ax0_sk1(A_6,B_7),B_7) ),
    inference(cnfTransformation,[status(thm)],[f_61]) ).

tff(c_532039,plain,
    ! [A_197283] :
      ( ~ part_of(A_197283,sk15)
      | part_of(A_197283,sk16) ),
    inference(resolution,[status(thm)],[c_531761,c_6]) ).

tff(c_102,plain,
    ~ part_of(sk14,sk16),
    inference(cnfTransformation,[status(thm)],[f_436]) ).

tff(c_532200,plain,
    ~ part_of(sk14,sk15),
    inference(resolution,[status(thm)],[c_532039,c_102]) ).

tff(c_532312,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_98,c_532200]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : GEO081-1 : TPTP v8.1.2. Released v2.4.0.
% 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 : n011.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 00:23:36 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 47.43/33.07  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 47.43/33.07  
% 47.43/33.07  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 47.43/33.10  
% 47.43/33.10  Inference rules
% 47.43/33.10  ----------------------
% 47.43/33.10  #Ref     : 0
% 47.43/33.10  #Sup     : 108611
% 47.43/33.10  #Fact    : 114
% 47.43/33.10  #Define  : 0
% 47.43/33.10  #Split   : 9
% 47.43/33.10  #Chain   : 0
% 47.43/33.10  #Close   : 0
% 47.43/33.10  
% 47.43/33.10  Ordering : KBO
% 47.43/33.10  
% 47.43/33.10  Simplification rules
% 47.43/33.10  ----------------------
% 47.43/33.10  #Subsume      : 68754
% 47.43/33.10  #Demod        : 12392
% 47.43/33.10  #Tautology    : 9275
% 47.43/33.10  #SimpNegUnit  : 17
% 47.43/33.10  #BackRed      : 8
% 47.43/33.10  
% 47.43/33.10  #Partial instantiations: 123165
% 47.43/33.10  #Strategies tried      : 1
% 47.43/33.10  
% 47.43/33.10  Timing (in seconds)
% 47.43/33.10  ----------------------
% 47.43/33.10  Preprocessing        : 0.61
% 47.43/33.10  Parsing              : 0.32
% 47.43/33.10  CNF conversion       : 0.04
% 47.43/33.10  Main loop            : 31.48
% 47.43/33.11  Inferencing          : 5.70
% 47.43/33.11  Reduction            : 6.47
% 47.43/33.11  Demodulation         : 4.18
% 47.43/33.11  BG Simplification    : 0.33
% 47.43/33.11  Subsumption          : 17.33
% 47.43/33.11  Abstraction          : 0.58
% 47.43/33.11  MUC search           : 0.00
% 47.43/33.11  Cooper               : 0.00
% 47.43/33.11  Total                : 32.14
% 47.43/33.11  Index Insertion      : 0.00
% 47.43/33.11  Index Deletion       : 0.00
% 47.43/33.11  Index Matching       : 0.00
% 47.43/33.11  BG Taut test         : 0.00
%------------------------------------------------------------------------------