TSTP Solution File: SET717+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET717+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n005.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 : Tue Jul 19 00:13:38 EDT 2022

% Result   : Theorem 18.10s 3.74s
% Output   : CNFRefutation 18.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   26 (   7 unt;   2 nHn;  24 RR)
%            Number of literals    :   98 (   0 equ;  72 neg)
%            Maximal clause size   :    9 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-5 aty)
%            Number of variables   :  121 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_1,plain,
    ( apply(compose_function(X1,X2,X3,X4,X5),X6,X7)
    | ~ member(X7,X5)
    | ~ member(X6,X3)
    | ~ member(X8,X4)
    | ~ apply(X1,X8,X7)
    | ~ apply(X2,X6,X8) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vll5hfyj/input.p',i_0_1) ).

cnf(i_0_127,plain,
    ( apply(X1,esk39_4(X1,X2,X3,X4),X4)
    | ~ member(X4,X3)
    | ~ surjective(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vll5hfyj/input.p',i_0_127) ).

cnf(i_0_125,plain,
    ( surjective(X1,X2,X3)
    | ~ member(X4,X2)
    | ~ apply(X1,X4,esk40_3(X1,X2,X3)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vll5hfyj/input.p',i_0_125) ).

cnf(i_0_128,plain,
    ( member(esk39_4(X1,X2,X3,X4),X2)
    | ~ member(X4,X3)
    | ~ surjective(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vll5hfyj/input.p',i_0_128) ).

cnf(i_0_126,plain,
    ( surjective(X1,X2,X3)
    | member(esk40_3(X1,X2,X3),X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vll5hfyj/input.p',i_0_126) ).

cnf(i_0_129,negated_conjecture,
    ~ surjective(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vll5hfyj/input.p',i_0_129) ).

cnf(i_0_131,negated_conjecture,
    surjective(esk41_0,esk43_0,esk44_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vll5hfyj/input.p',i_0_131) ).

cnf(i_0_130,negated_conjecture,
    surjective(esk42_0,esk44_0,esk45_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vll5hfyj/input.p',i_0_130) ).

cnf(c_0_140,plain,
    ( apply(compose_function(X1,X2,X3,X4,X5),X6,X7)
    | ~ member(X7,X5)
    | ~ member(X6,X3)
    | ~ member(X8,X4)
    | ~ apply(X1,X8,X7)
    | ~ apply(X2,X6,X8) ),
    i_0_1 ).

cnf(c_0_141,plain,
    ( apply(X1,esk39_4(X1,X2,X3,X4),X4)
    | ~ member(X4,X3)
    | ~ surjective(X1,X2,X3) ),
    i_0_127 ).

cnf(c_0_142,plain,
    ( surjective(X1,X2,X3)
    | ~ member(X4,X2)
    | ~ apply(X1,X4,esk40_3(X1,X2,X3)) ),
    i_0_125 ).

cnf(c_0_143,plain,
    ( apply(compose_function(X1,X2,X3,X4,X5),esk39_4(X2,X6,X7,X8),X9)
    | ~ apply(X1,X8,X9)
    | ~ member(esk39_4(X2,X6,X7,X8),X3)
    | ~ member(X8,X4)
    | ~ member(X9,X5)
    | ~ member(X8,X7)
    | ~ surjective(X2,X6,X7) ),
    inference(spm,[status(thm)],[c_0_140,c_0_141]) ).

cnf(c_0_144,plain,
    ( surjective(compose_function(X1,X2,X3,X4,X5),X6,X7)
    | ~ apply(X1,X8,esk40_3(compose_function(X1,X2,X3,X4,X5),X6,X7))
    | ~ member(esk40_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X5)
    | ~ member(esk39_4(X2,X9,X10,X8),X6)
    | ~ member(esk39_4(X2,X9,X10,X8),X3)
    | ~ member(X8,X4)
    | ~ member(X8,X10)
    | ~ surjective(X2,X9,X10) ),
    inference(spm,[status(thm)],[c_0_142,c_0_143]) ).

cnf(c_0_145,plain,
    ( surjective(compose_function(X1,X2,X3,X4,X5),X6,X7)
    | ~ member(esk39_4(X2,X8,X9,esk39_4(X1,X10,X11,esk40_3(compose_function(X1,X2,X3,X4,X5),X6,X7))),X6)
    | ~ member(esk39_4(X2,X8,X9,esk39_4(X1,X10,X11,esk40_3(compose_function(X1,X2,X3,X4,X5),X6,X7))),X3)
    | ~ member(esk39_4(X1,X10,X11,esk40_3(compose_function(X1,X2,X3,X4,X5),X6,X7)),X4)
    | ~ member(esk39_4(X1,X10,X11,esk40_3(compose_function(X1,X2,X3,X4,X5),X6,X7)),X9)
    | ~ member(esk40_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X5)
    | ~ member(esk40_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X11)
    | ~ surjective(X2,X8,X9)
    | ~ surjective(X1,X10,X11) ),
    inference(spm,[status(thm)],[c_0_144,c_0_141]) ).

cnf(c_0_146,plain,
    ( member(esk39_4(X1,X2,X3,X4),X2)
    | ~ member(X4,X3)
    | ~ surjective(X1,X2,X3) ),
    i_0_128 ).

cnf(c_0_147,plain,
    ( surjective(compose_function(X1,X2,X3,X4,X5),X6,X7)
    | ~ member(esk39_4(X2,X6,X8,esk39_4(X1,X9,X10,esk40_3(compose_function(X1,X2,X3,X4,X5),X6,X7))),X3)
    | ~ member(esk39_4(X1,X9,X10,esk40_3(compose_function(X1,X2,X3,X4,X5),X6,X7)),X4)
    | ~ member(esk39_4(X1,X9,X10,esk40_3(compose_function(X1,X2,X3,X4,X5),X6,X7)),X8)
    | ~ member(esk40_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X5)
    | ~ member(esk40_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X10)
    | ~ surjective(X2,X6,X8)
    | ~ surjective(X1,X9,X10) ),
    inference(spm,[status(thm)],[c_0_145,c_0_146]) ).

cnf(c_0_148,plain,
    ( surjective(compose_function(X1,X2,X3,X4,X5),X3,X6)
    | ~ member(esk39_4(X1,X7,X8,esk40_3(compose_function(X1,X2,X3,X4,X5),X3,X6)),X4)
    | ~ member(esk39_4(X1,X7,X8,esk40_3(compose_function(X1,X2,X3,X4,X5),X3,X6)),X9)
    | ~ member(esk40_3(compose_function(X1,X2,X3,X4,X5),X3,X6),X5)
    | ~ member(esk40_3(compose_function(X1,X2,X3,X4,X5),X3,X6),X8)
    | ~ surjective(X2,X3,X9)
    | ~ surjective(X1,X7,X8) ),
    inference(spm,[status(thm)],[c_0_147,c_0_146]) ).

cnf(c_0_149,plain,
    ( surjective(compose_function(X1,X2,X3,X4,X5),X3,X6)
    | ~ member(esk39_4(X1,X4,X7,esk40_3(compose_function(X1,X2,X3,X4,X5),X3,X6)),X8)
    | ~ member(esk40_3(compose_function(X1,X2,X3,X4,X5),X3,X6),X5)
    | ~ member(esk40_3(compose_function(X1,X2,X3,X4,X5),X3,X6),X7)
    | ~ surjective(X2,X3,X8)
    | ~ surjective(X1,X4,X7) ),
    inference(spm,[status(thm)],[c_0_148,c_0_146]) ).

cnf(c_0_150,plain,
    ( surjective(compose_function(X1,X2,X3,X4,X5),X3,X6)
    | ~ member(esk40_3(compose_function(X1,X2,X3,X4,X5),X3,X6),X5)
    | ~ member(esk40_3(compose_function(X1,X2,X3,X4,X5),X3,X6),X7)
    | ~ surjective(X2,X3,X4)
    | ~ surjective(X1,X4,X7) ),
    inference(spm,[status(thm)],[c_0_149,c_0_146]) ).

cnf(c_0_151,plain,
    ( surjective(X1,X2,X3)
    | member(esk40_3(X1,X2,X3),X3) ),
    i_0_126 ).

cnf(c_0_152,plain,
    ( surjective(compose_function(X1,X2,X3,X4,X5),X3,X5)
    | ~ member(esk40_3(compose_function(X1,X2,X3,X4,X5),X3,X5),X6)
    | ~ surjective(X2,X3,X4)
    | ~ surjective(X1,X4,X6) ),
    inference(spm,[status(thm)],[c_0_150,c_0_151]) ).

cnf(c_0_153,negated_conjecture,
    ~ surjective(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0),
    i_0_129 ).

cnf(c_0_154,plain,
    ( surjective(compose_function(X1,X2,X3,X4,X5),X3,X5)
    | ~ surjective(X2,X3,X4)
    | ~ surjective(X1,X4,X5) ),
    inference(spm,[status(thm)],[c_0_152,c_0_151]) ).

cnf(c_0_155,negated_conjecture,
    surjective(esk41_0,esk43_0,esk44_0),
    i_0_131 ).

cnf(c_0_156,negated_conjecture,
    surjective(esk42_0,esk44_0,esk45_0),
    i_0_130 ).

cnf(c_0_157,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_155]),c_0_156])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET717+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.00/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n005.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jul 11 05:00:08 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 0.18/0.45  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 18.10/3.74  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d60-l8000-e0.15+coop-eprover73:
% 18.10/3.74  # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d60-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 30; version: 991; iters: 150)
% 18.10/3.74  # Preprocessing time       : 1.215 s
% 18.10/3.74  # Presaturation interreduction done
% 18.10/3.74  
% 18.10/3.74  # Proof found!
% 18.10/3.74  # SZS status Theorem
% 18.10/3.74  # SZS output start CNFRefutation
% See solution above
% 18.10/3.74  # Training examples: 0 positive, 0 negative
% 18.10/3.74  
% 18.10/3.74  # -------------------------------------------------
% 18.10/3.74  # User time                : 1.140 s
% 18.10/3.74  # System time              : 0.137 s
% 18.10/3.74  # Total time               : 1.277 s
% 18.10/3.74  # ...preprocessing         : 1.215 s
% 18.10/3.74  # ...main loop             : 0.062 s
% 18.10/3.74  # Maximum resident set size: 185996 pages
% 18.10/3.74  
%------------------------------------------------------------------------------