TSTP Solution File: GEO506+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO506+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% 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  : 600s
% DateTime : Sat Jul 16 03:46:02 EDT 2022

% Result   : Theorem 142.99s 19.32s
% Output   : CNFRefutation 142.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   18
% Syntax   : Number of clauses     :   57 (  31 unt;  18 nHn;  57 RR)
%            Number of literals    :  129 (  32 equ;  50 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-5 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-5 aty)
%            Number of variables   :   82 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_196,plain,
    ( X1 = X2
    | X3 = X4
    | perpAt(X3,X4,X5,X1,X2)
    | s_col(X1,X2,g811(X3,X4,X1,X2,X5))
    | ~ s_col(X1,X2,X5)
    | ~ s_col(X3,X4,X5) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-21g4aup1/lgb.p',i_0_196) ).

cnf(i_0_146,negated_conjecture,
    s_col(esk3_0,esk4_0,esk5_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-21g4aup1/lgb.p',i_0_146) ).

cnf(i_0_147,negated_conjecture,
    esk4_0 != esk3_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-21g4aup1/lgb.p',i_0_147) ).

cnf(i_0_145,negated_conjecture,
    s_col(esk1_0,esk2_0,esk5_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-21g4aup1/lgb.p',i_0_145) ).

cnf(i_0_148,negated_conjecture,
    esk2_0 != esk1_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-21g4aup1/lgb.p',i_0_148) ).

cnf(i_0_128,plain,
    ( perpAt(X1,X2,X3,X4,X5)
    | ~ perpAt(X4,X5,X3,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-21g4aup1/lgb.p',i_0_128) ).

cnf(i_0_139,negated_conjecture,
    ~ perpAt(esk1_0,esk2_0,esk5_0,esk3_0,esk4_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-21g4aup1/lgb.p',i_0_139) ).

cnf(i_0_85,plain,
    ( X1 = X2
    | X3 = X4
    | s_col(X3,X4,X5)
    | ~ s_col(X1,X2,X5)
    | ~ s_col(X1,X2,X4)
    | ~ s_col(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-21g4aup1/lgb.p',i_0_85) ).

cnf(i_0_197,plain,
    ( X1 = X2
    | X3 = X4
    | perpAt(X3,X4,X5,X1,X2)
    | s_col(X3,X4,f811(X3,X4,X1,X2,X5))
    | ~ s_col(X1,X2,X5)
    | ~ s_col(X3,X4,X5) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-21g4aup1/lgb.p',i_0_197) ).

cnf(i_0_144,negated_conjecture,
    s_col(esk1_0,esk2_0,esk6_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-21g4aup1/lgb.p',i_0_144) ).

cnf(i_0_142,negated_conjecture,
    esk6_0 != esk5_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-21g4aup1/lgb.p',i_0_142) ).

cnf(i_0_150,plain,
    ( X1 = X2
    | s_r(X3,X2,X4)
    | ~ s_col(X2,X1,X3)
    | ~ s_r(X1,X2,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-21g4aup1/lgb.p',i_0_150) ).

cnf(i_0_140,negated_conjecture,
    s_r(esk6_0,esk5_0,esk7_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-21g4aup1/lgb.p',i_0_140) ).

cnf(i_0_41,plain,
    ( s_col(X1,X2,X3)
    | ~ s_col(X2,X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-21g4aup1/lgb.p',i_0_41) ).

cnf(i_0_149,plain,
    ( s_r(X1,X2,X3)
    | ~ s_r(X3,X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-21g4aup1/lgb.p',i_0_149) ).

cnf(i_0_143,negated_conjecture,
    s_col(esk3_0,esk4_0,esk7_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-21g4aup1/lgb.p',i_0_143) ).

cnf(i_0_141,negated_conjecture,
    esk7_0 != esk5_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-21g4aup1/lgb.p',i_0_141) ).

cnf(i_0_195,plain,
    ( X1 = X2
    | X3 = X4
    | perpAt(X3,X4,X5,X1,X2)
    | ~ s_col(X1,X2,X5)
    | ~ s_col(X3,X4,X5)
    | ~ s_r(f811(X3,X4,X1,X2,X5),X5,g811(X3,X4,X1,X2,X5)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-21g4aup1/lgb.p',i_0_195) ).

cnf(c_0_216,plain,
    ( X1 = X2
    | X3 = X4
    | perpAt(X3,X4,X5,X1,X2)
    | s_col(X1,X2,g811(X3,X4,X1,X2,X5))
    | ~ s_col(X1,X2,X5)
    | ~ s_col(X3,X4,X5) ),
    i_0_196 ).

cnf(c_0_217,negated_conjecture,
    s_col(esk3_0,esk4_0,esk5_0),
    i_0_146 ).

cnf(c_0_218,negated_conjecture,
    esk4_0 != esk3_0,
    i_0_147 ).

cnf(c_0_219,negated_conjecture,
    ( X1 = X2
    | s_col(X1,X2,g811(esk3_0,esk4_0,X1,X2,esk5_0))
    | perpAt(esk3_0,esk4_0,esk5_0,X1,X2)
    | ~ s_col(X1,X2,esk5_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_218]) ).

cnf(c_0_220,negated_conjecture,
    s_col(esk1_0,esk2_0,esk5_0),
    i_0_145 ).

cnf(c_0_221,negated_conjecture,
    esk2_0 != esk1_0,
    i_0_148 ).

cnf(c_0_222,plain,
    ( perpAt(X1,X2,X3,X4,X5)
    | ~ perpAt(X4,X5,X3,X1,X2) ),
    i_0_128 ).

cnf(c_0_223,negated_conjecture,
    ( s_col(esk1_0,esk2_0,g811(esk3_0,esk4_0,esk1_0,esk2_0,esk5_0))
    | perpAt(esk3_0,esk4_0,esk5_0,esk1_0,esk2_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_220]),c_0_221]) ).

cnf(c_0_224,negated_conjecture,
    ~ perpAt(esk1_0,esk2_0,esk5_0,esk3_0,esk4_0),
    i_0_139 ).

cnf(c_0_225,plain,
    ( X1 = X2
    | X3 = X4
    | s_col(X3,X4,X5)
    | ~ s_col(X1,X2,X5)
    | ~ s_col(X1,X2,X4)
    | ~ s_col(X1,X2,X3) ),
    i_0_85 ).

cnf(c_0_226,plain,
    s_col(esk1_0,esk2_0,g811(esk3_0,esk4_0,esk1_0,esk2_0,esk5_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_223]),c_0_224]) ).

cnf(c_0_227,plain,
    ( X1 = X2
    | X3 = X4
    | perpAt(X3,X4,X5,X1,X2)
    | s_col(X3,X4,f811(X3,X4,X1,X2,X5))
    | ~ s_col(X1,X2,X5)
    | ~ s_col(X3,X4,X5) ),
    i_0_197 ).

cnf(c_0_228,plain,
    ( X1 = X2
    | s_col(X1,X2,g811(esk3_0,esk4_0,esk1_0,esk2_0,esk5_0))
    | ~ s_col(esk1_0,esk2_0,X2)
    | ~ s_col(esk1_0,esk2_0,X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_221]) ).

cnf(c_0_229,negated_conjecture,
    ( X1 = X2
    | s_col(esk3_0,esk4_0,f811(esk3_0,esk4_0,X1,X2,esk5_0))
    | perpAt(esk3_0,esk4_0,esk5_0,X1,X2)
    | ~ s_col(X1,X2,esk5_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_217]),c_0_218]) ).

cnf(c_0_230,negated_conjecture,
    ( X1 = esk5_0
    | s_col(X1,esk5_0,g811(esk3_0,esk4_0,esk1_0,esk2_0,esk5_0))
    | ~ s_col(esk1_0,esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_228,c_0_220]) ).

cnf(c_0_231,negated_conjecture,
    s_col(esk1_0,esk2_0,esk6_0),
    i_0_144 ).

cnf(c_0_232,negated_conjecture,
    esk6_0 != esk5_0,
    i_0_142 ).

cnf(c_0_233,negated_conjecture,
    ( s_col(esk3_0,esk4_0,f811(esk3_0,esk4_0,esk1_0,esk2_0,esk5_0))
    | perpAt(esk3_0,esk4_0,esk5_0,esk1_0,esk2_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_220]),c_0_221]) ).

cnf(c_0_234,plain,
    ( X1 = X2
    | s_r(X3,X2,X4)
    | ~ s_col(X2,X1,X3)
    | ~ s_r(X1,X2,X4) ),
    i_0_150 ).

cnf(c_0_235,negated_conjecture,
    s_r(esk6_0,esk5_0,esk7_0),
    i_0_140 ).

cnf(c_0_236,plain,
    ( s_col(X1,X2,X3)
    | ~ s_col(X2,X1,X3) ),
    i_0_41 ).

cnf(c_0_237,negated_conjecture,
    s_col(esk6_0,esk5_0,g811(esk3_0,esk4_0,esk1_0,esk2_0,esk5_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_231]),c_0_232]) ).

cnf(c_0_238,plain,
    s_col(esk3_0,esk4_0,f811(esk3_0,esk4_0,esk1_0,esk2_0,esk5_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_233]),c_0_224]) ).

cnf(c_0_239,negated_conjecture,
    ( s_r(X1,esk5_0,esk7_0)
    | ~ s_col(esk5_0,esk6_0,X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_235]),c_0_232]) ).

cnf(c_0_240,plain,
    s_col(esk5_0,esk6_0,g811(esk3_0,esk4_0,esk1_0,esk2_0,esk5_0)),
    inference(spm,[status(thm)],[c_0_236,c_0_237]) ).

cnf(c_0_241,plain,
    ( X1 = X2
    | s_col(X1,X2,f811(esk3_0,esk4_0,esk1_0,esk2_0,esk5_0))
    | ~ s_col(esk3_0,esk4_0,X2)
    | ~ s_col(esk3_0,esk4_0,X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_238]),c_0_218]) ).

cnf(c_0_242,plain,
    ( s_r(X1,X2,X3)
    | ~ s_r(X3,X2,X1) ),
    i_0_149 ).

cnf(c_0_243,negated_conjecture,
    s_r(g811(esk3_0,esk4_0,esk1_0,esk2_0,esk5_0),esk5_0,esk7_0),
    inference(spm,[status(thm)],[c_0_239,c_0_240]) ).

cnf(c_0_244,negated_conjecture,
    ( X1 = esk5_0
    | s_col(X1,esk5_0,f811(esk3_0,esk4_0,esk1_0,esk2_0,esk5_0))
    | ~ s_col(esk3_0,esk4_0,X1) ),
    inference(spm,[status(thm)],[c_0_241,c_0_217]) ).

cnf(c_0_245,negated_conjecture,
    s_col(esk3_0,esk4_0,esk7_0),
    i_0_143 ).

cnf(c_0_246,negated_conjecture,
    esk7_0 != esk5_0,
    i_0_141 ).

cnf(c_0_247,plain,
    s_r(esk7_0,esk5_0,g811(esk3_0,esk4_0,esk1_0,esk2_0,esk5_0)),
    inference(spm,[status(thm)],[c_0_242,c_0_243]) ).

cnf(c_0_248,negated_conjecture,
    s_col(esk7_0,esk5_0,f811(esk3_0,esk4_0,esk1_0,esk2_0,esk5_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_245]),c_0_246]) ).

cnf(c_0_249,plain,
    ( s_r(X1,esk5_0,g811(esk3_0,esk4_0,esk1_0,esk2_0,esk5_0))
    | ~ s_col(esk5_0,esk7_0,X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_247]),c_0_246]) ).

cnf(c_0_250,plain,
    s_col(esk5_0,esk7_0,f811(esk3_0,esk4_0,esk1_0,esk2_0,esk5_0)),
    inference(spm,[status(thm)],[c_0_236,c_0_248]) ).

cnf(c_0_251,plain,
    ( X1 = X2
    | X3 = X4
    | perpAt(X3,X4,X5,X1,X2)
    | ~ s_col(X1,X2,X5)
    | ~ s_col(X3,X4,X5)
    | ~ s_r(f811(X3,X4,X1,X2,X5),X5,g811(X3,X4,X1,X2,X5)) ),
    i_0_195 ).

cnf(c_0_252,plain,
    s_r(f811(esk3_0,esk4_0,esk1_0,esk2_0,esk5_0),esk5_0,g811(esk3_0,esk4_0,esk1_0,esk2_0,esk5_0)),
    inference(spm,[status(thm)],[c_0_249,c_0_250]) ).

cnf(c_0_253,plain,
    perpAt(esk3_0,esk4_0,esk5_0,esk1_0,esk2_0),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_252]),c_0_217]),c_0_220])]),c_0_218]),c_0_221]) ).

cnf(c_0_254,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_253]),c_0_224]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GEO506+1 : TPTP v8.1.0. Released v7.0.0.
% 0.00/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n008.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Fri Jun 17 20:24:54 EDT 2022
% 0.13/0.34  % 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
% 142.99/19.32  # ENIGMATIC: Solved by autoschedule-lgb:
% 142.99/19.32  # No SInE strategy applied
% 142.99/19.32  # Trying AutoSched0 for 150 seconds
% 142.99/19.32  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S00AA
% 142.99/19.32  # and selection function SelectLargestOrientable.
% 142.99/19.32  #
% 142.99/19.32  # Preprocessing time       : 0.024 s
% 142.99/19.32  # Presaturation interreduction done
% 142.99/19.32  
% 142.99/19.32  # Proof found!
% 142.99/19.32  # SZS status Theorem
% 142.99/19.32  # SZS output start CNFRefutation
% See solution above
% 142.99/19.32  # Training examples: 0 positive, 0 negative
% 142.99/19.32  
% 142.99/19.32  # -------------------------------------------------
% 142.99/19.32  # User time                : 15.906 s
% 142.99/19.32  # System time              : 0.983 s
% 142.99/19.32  # Total time               : 16.889 s
% 142.99/19.32  # Maximum resident set size: 7120 pages
% 142.99/19.32  
%------------------------------------------------------------------------------