TSTP Solution File: GEO207+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : GEO207+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : n017.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 10:38:40 EDT 2023

% Result   : Theorem 2.68s 1.72s
% Output   : CNFRefutation 3.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   13 (   5 unt;   8 typ;   0 def)
%            Number of atoms       :    5 (   0 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   14 (   7   >;   7   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :    3 (;   3   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ distinct_points > distinct_lines > convergent_lines > apart_point_and_line > parallel_through_point > line_connecting > intersection_point > #nlpp > #skF_1

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(line_connecting,type,
    line_connecting: ( $i * $i ) > $i ).

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

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

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

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

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

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

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

tff(f_58,axiom,
    ! [X] : ~ convergent_lines(X,X),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart3) ).

tff(f_175,negated_conjecture,
    ~ ! [X] : ~ convergent_lines(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

tff(c_6,plain,
    ! [X_3] : ~ convergent_lines(X_3,X_3),
    inference(cnfTransformation,[status(thm)],[f_58]) ).

tff(c_36,plain,
    convergent_lines('#skF_1','#skF_1'),
    inference(cnfTransformation,[status(thm)],[f_175]) ).

tff(c_37,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_6,c_36]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : GEO207+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.15  % 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
% 0.16/0.37  % Computer : n017.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 300
% 0.16/0.37  % DateTime : Thu Aug  3 23:50:51 EDT 2023
% 0.16/0.37  % CPUTime  : 
% 2.68/1.72  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.03/1.73  
% 3.03/1.73  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.03/1.76  
% 3.03/1.76  Inference rules
% 3.03/1.76  ----------------------
% 3.03/1.76  #Ref     : 0
% 3.03/1.76  #Sup     : 0
% 3.03/1.76  #Fact    : 0
% 3.03/1.76  #Define  : 0
% 3.03/1.76  #Split   : 0
% 3.03/1.76  #Chain   : 0
% 3.03/1.76  #Close   : 0
% 3.03/1.76  
% 3.03/1.76  Ordering : KBO
% 3.03/1.76  
% 3.03/1.76  Simplification rules
% 3.03/1.76  ----------------------
% 3.03/1.76  #Subsume      : 17
% 3.03/1.76  #Demod        : 0
% 3.03/1.76  #Tautology    : 0
% 3.03/1.76  #SimpNegUnit  : 1
% 3.03/1.76  #BackRed      : 0
% 3.03/1.76  
% 3.03/1.76  #Partial instantiations: 0
% 3.03/1.76  #Strategies tried      : 1
% 3.03/1.76  
% 3.03/1.76  Timing (in seconds)
% 3.03/1.76  ----------------------
% 3.03/1.76  Preprocessing        : 0.59
% 3.03/1.76  Parsing              : 0.32
% 3.03/1.76  CNF conversion       : 0.03
% 3.03/1.76  Main loop            : 0.08
% 3.03/1.76  Inferencing          : 0.00
% 3.03/1.76  Reduction            : 0.03
% 3.03/1.76  Demodulation         : 0.03
% 3.03/1.76  BG Simplification    : 0.02
% 3.03/1.76  Subsumption          : 0.04
% 3.03/1.76  Abstraction          : 0.01
% 3.03/1.76  MUC search           : 0.00
% 3.03/1.76  Cooper               : 0.00
% 3.03/1.76  Total                : 0.72
% 3.03/1.76  Index Insertion      : 0.00
% 3.03/1.76  Index Deletion       : 0.00
% 3.03/1.76  Index Matching       : 0.00
% 3.03/1.76  BG Taut test         : 0.00
%------------------------------------------------------------------------------