TSTP Solution File: GEO231+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO231+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% 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  : 600s
% DateTime : Sat Jul 16 03:44:42 EDT 2022

% Result   : Theorem 7.37s 2.31s
% Output   : CNFRefutation 7.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   37 (  17 unt;  17 nHn;  23 RR)
%            Number of literals    :   70 (   0 equ;  22 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   40 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_38,plain,
    ( unequally_directed_lines(X1,X2)
    | unequally_directed_lines(X3,X2)
    | ~ unequally_directed_lines(X3,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hkh1n689/lgb.p',i_0_38) ).

cnf(i_0_17,negated_conjecture,
    unequally_directed_lines(esk2_0,reverse_line(esk3_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hkh1n689/lgb.p',i_0_17) ).

cnf(i_0_44,plain,
    ( left_convergent_lines(X1,X2)
    | left_convergent_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2)
    | ~ unequally_directed_lines(X1,reverse_line(X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hkh1n689/lgb.p',i_0_44) ).

cnf(i_0_32,plain,
    ~ left_convergent_lines(X1,X2),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hkh1n689/lgb.p',i_0_32) ).

cnf(i_0_37,plain,
    ~ unequally_directed_lines(X1,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hkh1n689/lgb.p',i_0_37) ).

cnf(i_0_19,negated_conjecture,
    ~ unequally_directed_lines(esk1_0,reverse_line(esk2_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hkh1n689/lgb.p',i_0_19) ).

cnf(i_0_18,negated_conjecture,
    ~ unequally_directed_lines(esk1_0,esk3_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hkh1n689/lgb.p',i_0_18) ).

cnf(c_0_52,plain,
    ( unequally_directed_lines(X1,X2)
    | unequally_directed_lines(X3,X2)
    | ~ unequally_directed_lines(X3,X1) ),
    i_0_38 ).

cnf(c_0_53,negated_conjecture,
    unequally_directed_lines(esk2_0,reverse_line(esk3_0)),
    i_0_17 ).

cnf(c_0_54,negated_conjecture,
    ( unequally_directed_lines(reverse_line(esk3_0),X1)
    | unequally_directed_lines(esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_55,plain,
    ( left_convergent_lines(X1,X2)
    | left_convergent_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2)
    | ~ unequally_directed_lines(X1,reverse_line(X2)) ),
    i_0_44 ).

cnf(c_0_56,plain,
    ~ left_convergent_lines(X1,X2),
    i_0_32 ).

cnf(c_0_57,plain,
    ~ unequally_directed_lines(X1,X1),
    i_0_37 ).

cnf(c_0_58,plain,
    ( unequally_directed_lines(reverse_line(esk3_0),X1)
    | unequally_directed_lines(esk2_0,X2)
    | unequally_directed_lines(X2,X1) ),
    inference(spm,[status(thm)],[c_0_52,c_0_54]) ).

cnf(c_0_59,plain,
    ( ~ unequally_directed_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_55,c_0_56]),c_0_56]) ).

cnf(c_0_60,plain,
    ( unequally_directed_lines(X1,reverse_line(esk3_0))
    | unequally_directed_lines(esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_61,plain,
    ( unequally_directed_lines(esk2_0,X1)
    | ~ unequally_directed_lines(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_62,plain,
    ( unequally_directed_lines(reverse_line(esk3_0),esk3_0)
    | unequally_directed_lines(esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_61,c_0_58]) ).

cnf(c_0_63,negated_conjecture,
    ( unequally_directed_lines(esk2_0,reverse_line(X1))
    | ~ unequally_directed_lines(reverse_line(esk3_0),X1) ),
    inference(spm,[status(thm)],[c_0_59,c_0_54]) ).

cnf(c_0_64,plain,
    ( unequally_directed_lines(reverse_line(esk3_0),X1)
    | unequally_directed_lines(esk2_0,X2)
    | unequally_directed_lines(esk3_0,X1) ),
    inference(spm,[status(thm)],[c_0_52,c_0_62]) ).

cnf(c_0_65,plain,
    ( unequally_directed_lines(esk2_0,reverse_line(X1))
    | unequally_directed_lines(esk2_0,X2)
    | unequally_directed_lines(X2,X1) ),
    inference(spm,[status(thm)],[c_0_63,c_0_58]) ).

cnf(c_0_66,plain,
    ( unequally_directed_lines(esk3_0,reverse_line(esk3_0))
    | unequally_directed_lines(esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_64]) ).

cnf(c_0_67,plain,
    ( unequally_directed_lines(esk2_0,reverse_line(reverse_line(X1)))
    | unequally_directed_lines(esk2_0,X2)
    | ~ unequally_directed_lines(X2,X1) ),
    inference(spm,[status(thm)],[c_0_59,c_0_65]) ).

cnf(c_0_68,plain,
    unequally_directed_lines(esk3_0,reverse_line(esk3_0)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_66]),c_0_66]) ).

cnf(c_0_69,negated_conjecture,
    ~ unequally_directed_lines(esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_59,c_0_53]) ).

cnf(c_0_70,plain,
    unequally_directed_lines(esk2_0,reverse_line(reverse_line(reverse_line(esk3_0)))),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]) ).

cnf(c_0_71,plain,
    ( unequally_directed_lines(reverse_line(esk3_0),X1)
    | unequally_directed_lines(esk2_0,X2)
    | unequally_directed_lines(X2,X3)
    | unequally_directed_lines(X1,X3) ),
    inference(spm,[status(thm)],[c_0_52,c_0_58]) ).

cnf(c_0_72,plain,
    ~ unequally_directed_lines(esk2_0,reverse_line(reverse_line(esk3_0))),
    inference(spm,[status(thm)],[c_0_59,c_0_70]) ).

cnf(c_0_73,plain,
    ( unequally_directed_lines(reverse_line(esk3_0),esk2_0)
    | unequally_directed_lines(esk2_0,X1) ),
    inference(sr,[status(thm)],[inference(ef,[status(thm)],[c_0_71]),c_0_57]) ).

cnf(c_0_74,plain,
    ( unequally_directed_lines(X1,reverse_line(X2))
    | unequally_directed_lines(esk2_0,X1)
    | ~ unequally_directed_lines(reverse_line(esk3_0),X2) ),
    inference(spm,[status(thm)],[c_0_59,c_0_58]) ).

cnf(c_0_75,plain,
    unequally_directed_lines(reverse_line(esk3_0),esk2_0),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_76,negated_conjecture,
    ~ unequally_directed_lines(esk1_0,reverse_line(esk2_0)),
    i_0_19 ).

cnf(c_0_77,plain,
    ( unequally_directed_lines(X1,reverse_line(esk2_0))
    | unequally_directed_lines(esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_78,negated_conjecture,
    unequally_directed_lines(esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_79,negated_conjecture,
    ~ unequally_directed_lines(esk1_0,esk3_0),
    i_0_18 ).

cnf(c_0_80,plain,
    ( unequally_directed_lines(esk2_0,X1)
    | unequally_directed_lines(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_52,c_0_78]) ).

cnf(c_0_81,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_69]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10  % Problem  : GEO231+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.10/0.11  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.32  % Computer : n017.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Sat Jun 18 00:58:44 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.17/0.43  # ENIGMATIC: Selected SinE mode:
% 0.17/0.44  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.17/0.44  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.17/0.44  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.37/2.31  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.37/2.31  # No SInE strategy applied
% 7.37/2.31  # Trying AutoSched0 for 150 seconds
% 7.37/2.31  # AutoSched0-Mode selected heuristic G_E___300_C18_F1_SE_CS_SP_S0Y
% 7.37/2.31  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.37/2.31  #
% 7.37/2.31  # Preprocessing time       : 0.012 s
% 7.37/2.31  
% 7.37/2.31  # Proof found!
% 7.37/2.31  # SZS status Theorem
% 7.37/2.31  # SZS output start CNFRefutation
% See solution above
% 7.37/2.31  # Training examples: 0 positive, 0 negative
% 7.37/2.31  
% 7.37/2.31  # -------------------------------------------------
% 7.37/2.31  # User time                : 0.024 s
% 7.37/2.31  # System time              : 0.003 s
% 7.37/2.31  # Total time               : 0.027 s
% 7.37/2.31  # Maximum resident set size: 7124 pages
% 7.37/2.31  
%------------------------------------------------------------------------------