TSTP Solution File: GEO112+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO112+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n018.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  : 600s
% DateTime : Sat Jul 16 03:43:27 EDT 2022

% Result   : Theorem 8.72s 2.60s
% Output   : CNFRefutation 8.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   24 (  11 unt;   3 nHn;  24 RR)
%            Number of literals    :   48 (   6 equ;  26 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-4 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-4 aty)
%            Number of variables   :   56 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_2,plain,
    ( inner_point(X1,esk1_4(X2,X3,X1,X4))
    | ~ between_c(X2,X3,X1,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iiouqszs/lgb.p',i_0_2) ).

cnf(i_0_51,negated_conjecture,
    between_c(esk15_0,esk16_0,esk17_0,esk18_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iiouqszs/lgb.p',i_0_51) ).

cnf(i_0_1,plain,
    ( X1 = X2
    | between_c(X3,X1,X4,X2)
    | ~ part_of(X5,X3)
    | ~ end_point(X2,X5)
    | ~ end_point(X1,X5)
    | ~ inner_point(X4,X5) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iiouqszs/lgb.p',i_0_1) ).

cnf(i_0_4,plain,
    ( end_point(X1,esk1_4(X2,X1,X3,X4))
    | ~ between_c(X2,X1,X3,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iiouqszs/lgb.p',i_0_4) ).

cnf(i_0_3,plain,
    ( end_point(X1,esk1_4(X2,X3,X4,X1))
    | ~ between_c(X2,X3,X4,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iiouqszs/lgb.p',i_0_3) ).

cnf(i_0_5,plain,
    ( part_of(esk1_4(X1,X2,X3,X4),X1)
    | ~ between_c(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iiouqszs/lgb.p',i_0_5) ).

cnf(i_0_50,negated_conjecture,
    ~ between_c(esk15_0,esk18_0,esk17_0,esk16_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iiouqszs/lgb.p',i_0_50) ).

cnf(i_0_6,plain,
    ( X1 != X2
    | ~ between_c(X3,X1,X4,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-iiouqszs/lgb.p',i_0_6) ).

cnf(c_0_60,plain,
    ( inner_point(X1,esk1_4(X2,X3,X1,X4))
    | ~ between_c(X2,X3,X1,X4) ),
    i_0_2 ).

cnf(c_0_61,negated_conjecture,
    between_c(esk15_0,esk16_0,esk17_0,esk18_0),
    i_0_51 ).

cnf(c_0_62,plain,
    ( X1 = X2
    | between_c(X3,X1,X4,X2)
    | ~ part_of(X5,X3)
    | ~ end_point(X2,X5)
    | ~ end_point(X1,X5)
    | ~ inner_point(X4,X5) ),
    i_0_1 ).

cnf(c_0_63,negated_conjecture,
    inner_point(esk17_0,esk1_4(esk15_0,esk16_0,esk17_0,esk18_0)),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_64,plain,
    ( end_point(X1,esk1_4(X2,X1,X3,X4))
    | ~ between_c(X2,X1,X3,X4) ),
    i_0_4 ).

cnf(c_0_65,plain,
    ( end_point(X1,esk1_4(X2,X3,X4,X1))
    | ~ between_c(X2,X3,X4,X1) ),
    i_0_3 ).

cnf(c_0_66,plain,
    ( part_of(esk1_4(X1,X2,X3,X4),X1)
    | ~ between_c(X1,X2,X3,X4) ),
    i_0_5 ).

cnf(c_0_67,negated_conjecture,
    ~ between_c(esk15_0,esk18_0,esk17_0,esk16_0),
    i_0_50 ).

cnf(c_0_68,plain,
    ( X1 = X2
    | between_c(X3,X1,esk17_0,X2)
    | ~ end_point(X2,esk1_4(esk15_0,esk16_0,esk17_0,esk18_0))
    | ~ end_point(X1,esk1_4(esk15_0,esk16_0,esk17_0,esk18_0))
    | ~ part_of(esk1_4(esk15_0,esk16_0,esk17_0,esk18_0),X3) ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_69,negated_conjecture,
    end_point(esk16_0,esk1_4(esk15_0,esk16_0,esk17_0,esk18_0)),
    inference(spm,[status(thm)],[c_0_64,c_0_61]) ).

cnf(c_0_70,negated_conjecture,
    end_point(esk18_0,esk1_4(esk15_0,esk16_0,esk17_0,esk18_0)),
    inference(spm,[status(thm)],[c_0_65,c_0_61]) ).

cnf(c_0_71,negated_conjecture,
    part_of(esk1_4(esk15_0,esk16_0,esk17_0,esk18_0),esk15_0),
    inference(spm,[status(thm)],[c_0_66,c_0_61]) ).

cnf(c_0_72,plain,
    ( X1 != X2
    | ~ between_c(X3,X1,X4,X2) ),
    i_0_6 ).

cnf(c_0_73,negated_conjecture,
    esk18_0 = esk16_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]),c_0_70]),c_0_71])]) ).

cnf(c_0_74,plain,
    ~ between_c(X1,X2,X3,X2),
    inference(er,[status(thm)],[c_0_72]) ).

cnf(c_0_75,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_73]),c_0_74]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO112+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n018.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Fri Jun 17 23:31:04 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 0.19/0.46  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.46  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.46  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.72/2.60  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.72/2.60  # No SInE strategy applied
% 8.72/2.60  # Trying AutoSched0 for 150 seconds
% 8.72/2.60  # AutoSched0-Mode selected heuristic G_E___107_C36_F1_PI_AE_Q4_CS_SP_PS_S0Y
% 8.72/2.60  # and selection function SelectMaxLComplexAvoidPosPred.
% 8.72/2.60  #
% 8.72/2.60  # Preprocessing time       : 0.023 s
% 8.72/2.60  # Presaturation interreduction done
% 8.72/2.60  
% 8.72/2.60  # Proof found!
% 8.72/2.60  # SZS status Theorem
% 8.72/2.60  # SZS output start CNFRefutation
% See solution above
% 8.72/2.60  # Training examples: 0 positive, 0 negative
% 8.72/2.60  
% 8.72/2.60  # -------------------------------------------------
% 8.72/2.60  # User time                : 0.044 s
% 8.72/2.60  # System time              : 0.002 s
% 8.72/2.60  # Total time               : 0.046 s
% 8.72/2.60  # Maximum resident set size: 7124 pages
% 8.72/2.60  
%------------------------------------------------------------------------------