TSTP Solution File: GEO535+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO535+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n010.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 03:46:09 EDT 2022

% Result   : Theorem 16.67s 3.62s
% Output   : CNFRefutation 16.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   43 (  21 unt;   0 nHn;  43 RR)
%            Number of literals    :   92 (   0 equ;  51 neg)
%            Maximal clause size   :    8 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-6 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-4 aty)
%            Number of variables   :   96 (  16 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_60,plain,
    ( sameside(ext(X1,X2,X3,X4),X1,X2)
    | ~ congruent(X5,X3,X4,X6,X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wqs_ljdl/input.p',i_0_60) ).

cnf(i_0_68,negated_conjecture,
    congruent(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wqs_ljdl/input.p',i_0_68) ).

cnf(i_0_165,plain,
    ( sameside(X1,X2,X3)
    | ~ sameside(X4,X2,X3)
    | ~ sameside(X1,X2,X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wqs_ljdl/input.p',i_0_165) ).

cnf(i_0_164,plain,
    ( sameside(X1,X2,X3)
    | ~ sameside(X3,X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wqs_ljdl/input.p',i_0_164) ).

cnf(i_0_61,plain,
    ( sameside(ext(X1,X2,X3,X4),X1,X2)
    | ~ congruent(X4,X3,X5,X2,X1,X6) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wqs_ljdl/input.p',i_0_61) ).

cnf(i_0_69,plain,
    ( s_e(X1,X2,X3,X4)
    | ~ sameside(X4,X5,X6)
    | ~ sameside(X3,X5,X7)
    | ~ sameside(X2,X8,X9)
    | ~ sameside(X1,X8,X10)
    | ~ s_e(X8,X2,X5,X4)
    | ~ s_e(X8,X1,X5,X3)
    | ~ congruent(X10,X8,X9,X7,X5,X6) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wqs_ljdl/input.p',i_0_69) ).

cnf(i_0_62,plain,
    ( sameside(ext(X1,X2,X3,X4),X1,X2)
    | ~ congruent(X5,X1,X2,X6,X3,X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wqs_ljdl/input.p',i_0_62) ).

cnf(i_0_63,plain,
    ( sameside(ext(X1,X2,X3,X4),X1,X2)
    | ~ congruent(X2,X1,X5,X4,X3,X6) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wqs_ljdl/input.p',i_0_63) ).

cnf(i_0_66,negated_conjecture,
    s_e(esk2_0,esk3_0,esk5_0,esk6_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wqs_ljdl/input.p',i_0_66) ).

cnf(i_0_67,negated_conjecture,
    s_e(esk2_0,esk1_0,esk5_0,esk4_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wqs_ljdl/input.p',i_0_67) ).

cnf(i_0_65,negated_conjecture,
    ~ s_e(esk1_0,esk3_0,esk4_0,esk6_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wqs_ljdl/input.p',i_0_65) ).

cnf(c_0_177,plain,
    ( sameside(ext(X1,X2,X3,X4),X1,X2)
    | ~ congruent(X5,X3,X4,X6,X1,X2) ),
    i_0_60 ).

cnf(c_0_178,negated_conjecture,
    congruent(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0),
    i_0_68 ).

cnf(c_0_179,plain,
    ( sameside(X1,X2,X3)
    | ~ sameside(X4,X2,X3)
    | ~ sameside(X1,X2,X4) ),
    i_0_165 ).

cnf(c_0_180,negated_conjecture,
    sameside(ext(esk5_0,esk6_0,esk2_0,esk3_0),esk5_0,esk6_0),
    inference(spm,[status(thm)],[c_0_177,c_0_178]) ).

cnf(c_0_181,plain,
    ( sameside(X1,X2,X3)
    | ~ sameside(X3,X2,X1) ),
    i_0_164 ).

cnf(c_0_182,plain,
    ( sameside(ext(X1,X2,X3,X4),X1,X2)
    | ~ congruent(X4,X3,X5,X2,X1,X6) ),
    i_0_61 ).

cnf(c_0_183,plain,
    ( s_e(X1,X2,X3,X4)
    | ~ sameside(X4,X5,X6)
    | ~ sameside(X3,X5,X7)
    | ~ sameside(X2,X8,X9)
    | ~ sameside(X1,X8,X10)
    | ~ s_e(X8,X2,X5,X4)
    | ~ s_e(X8,X1,X5,X3)
    | ~ congruent(X10,X8,X9,X7,X5,X6) ),
    i_0_69 ).

cnf(c_0_184,negated_conjecture,
    ( sameside(X1,esk5_0,esk6_0)
    | ~ sameside(X1,esk5_0,ext(esk5_0,esk6_0,esk2_0,esk3_0)) ),
    inference(spm,[status(thm)],[c_0_179,c_0_180]) ).

cnf(c_0_185,negated_conjecture,
    sameside(esk6_0,esk5_0,ext(esk5_0,esk6_0,esk2_0,esk3_0)),
    inference(spm,[status(thm)],[c_0_181,c_0_180]) ).

cnf(c_0_186,negated_conjecture,
    sameside(ext(esk5_0,esk4_0,esk2_0,esk1_0),esk5_0,esk4_0),
    inference(spm,[status(thm)],[c_0_182,c_0_178]) ).

cnf(c_0_187,plain,
    ( sameside(ext(X1,X2,X3,X4),X1,X2)
    | ~ congruent(X5,X1,X2,X6,X3,X4) ),
    i_0_62 ).

cnf(c_0_188,negated_conjecture,
    ( s_e(X1,X2,X3,X4)
    | ~ sameside(X4,esk5_0,esk6_0)
    | ~ sameside(X3,esk5_0,esk4_0)
    | ~ sameside(X2,esk2_0,esk3_0)
    | ~ sameside(X1,esk2_0,esk1_0)
    | ~ s_e(esk2_0,X2,esk5_0,X4)
    | ~ s_e(esk2_0,X1,esk5_0,X3) ),
    inference(spm,[status(thm)],[c_0_183,c_0_178]) ).

cnf(c_0_189,negated_conjecture,
    sameside(esk6_0,esk5_0,esk6_0),
    inference(spm,[status(thm)],[c_0_184,c_0_185]) ).

cnf(c_0_190,negated_conjecture,
    ( sameside(X1,esk5_0,esk4_0)
    | ~ sameside(X1,esk5_0,ext(esk5_0,esk4_0,esk2_0,esk1_0)) ),
    inference(spm,[status(thm)],[c_0_179,c_0_186]) ).

cnf(c_0_191,negated_conjecture,
    sameside(esk4_0,esk5_0,ext(esk5_0,esk4_0,esk2_0,esk1_0)),
    inference(spm,[status(thm)],[c_0_181,c_0_186]) ).

cnf(c_0_192,negated_conjecture,
    sameside(ext(esk2_0,esk3_0,esk5_0,esk6_0),esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_187,c_0_178]) ).

cnf(c_0_193,plain,
    ( sameside(ext(X1,X2,X3,X4),X1,X2)
    | ~ congruent(X2,X1,X5,X4,X3,X6) ),
    i_0_63 ).

cnf(c_0_194,negated_conjecture,
    ( s_e(X1,X2,X3,esk6_0)
    | ~ sameside(X3,esk5_0,esk4_0)
    | ~ sameside(X2,esk2_0,esk3_0)
    | ~ sameside(X1,esk2_0,esk1_0)
    | ~ s_e(esk2_0,X2,esk5_0,esk6_0)
    | ~ s_e(esk2_0,X1,esk5_0,X3) ),
    inference(spm,[status(thm)],[c_0_188,c_0_189]) ).

cnf(c_0_195,negated_conjecture,
    sameside(esk4_0,esk5_0,esk4_0),
    inference(spm,[status(thm)],[c_0_190,c_0_191]) ).

cnf(c_0_196,negated_conjecture,
    ( sameside(X1,esk2_0,esk3_0)
    | ~ sameside(X1,esk2_0,ext(esk2_0,esk3_0,esk5_0,esk6_0)) ),
    inference(spm,[status(thm)],[c_0_179,c_0_192]) ).

cnf(c_0_197,negated_conjecture,
    sameside(esk3_0,esk2_0,ext(esk2_0,esk3_0,esk5_0,esk6_0)),
    inference(spm,[status(thm)],[c_0_181,c_0_192]) ).

cnf(c_0_198,negated_conjecture,
    sameside(ext(esk2_0,esk1_0,esk5_0,esk4_0),esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_193,c_0_178]) ).

cnf(c_0_199,negated_conjecture,
    ( s_e(X1,X2,esk4_0,esk6_0)
    | ~ sameside(X2,esk2_0,esk3_0)
    | ~ sameside(X1,esk2_0,esk1_0)
    | ~ s_e(esk2_0,X2,esk5_0,esk6_0)
    | ~ s_e(esk2_0,X1,esk5_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_194,c_0_195]) ).

cnf(c_0_200,negated_conjecture,
    sameside(esk3_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_196,c_0_197]) ).

cnf(c_0_201,negated_conjecture,
    s_e(esk2_0,esk3_0,esk5_0,esk6_0),
    i_0_66 ).

cnf(c_0_202,negated_conjecture,
    ( sameside(X1,esk2_0,esk1_0)
    | ~ sameside(X1,esk2_0,ext(esk2_0,esk1_0,esk5_0,esk4_0)) ),
    inference(spm,[status(thm)],[c_0_179,c_0_198]) ).

cnf(c_0_203,negated_conjecture,
    sameside(esk1_0,esk2_0,ext(esk2_0,esk1_0,esk5_0,esk4_0)),
    inference(spm,[status(thm)],[c_0_181,c_0_198]) ).

cnf(c_0_204,negated_conjecture,
    ( s_e(X1,esk3_0,esk4_0,esk6_0)
    | ~ sameside(X1,esk2_0,esk1_0)
    | ~ s_e(esk2_0,X1,esk5_0,esk4_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_200]),c_0_201])]) ).

cnf(c_0_205,negated_conjecture,
    sameside(esk1_0,esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_202,c_0_203]) ).

cnf(c_0_206,negated_conjecture,
    s_e(esk2_0,esk1_0,esk5_0,esk4_0),
    i_0_67 ).

cnf(c_0_207,negated_conjecture,
    ~ s_e(esk1_0,esk3_0,esk4_0,esk6_0),
    i_0_65 ).

cnf(c_0_208,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_205]),c_0_206])]),c_0_207]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO535+1 : TPTP v8.1.0. Released v7.0.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n010.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 : Sat Jun 18 17:40:09 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 0.19/0.47  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.47  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.47  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 16.67/3.62  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 16.67/3.62  # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 28; version: 991; iters: 150)
% 16.67/3.62  # Preprocessing time       : 0.832 s
% 16.67/3.62  # Presaturation interreduction done
% 16.67/3.62  
% 16.67/3.62  # Proof found!
% 16.67/3.62  # SZS status Theorem
% 16.67/3.62  # SZS output start CNFRefutation
% See solution above
% 16.67/3.62  # Training examples: 0 positive, 0 negative
% 16.67/3.62  
% 16.67/3.62  # -------------------------------------------------
% 16.67/3.62  # User time                : 0.824 s
% 16.67/3.62  # System time              : 0.115 s
% 16.67/3.62  # Total time               : 0.939 s
% 16.67/3.62  # ...preprocessing         : 0.832 s
% 16.67/3.62  # ...main loop             : 0.107 s
% 16.67/3.62  # Maximum resident set size: 169120 pages
% 16.67/3.62  
%------------------------------------------------------------------------------