TSTP Solution File: ALG204+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : ALG204+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n024.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 : Thu Jul 14 15:32:58 EDT 2022

% Result   : Theorem 7.90s 2.31s
% Output   : CNFRefutation 7.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   18
% Syntax   : Number of clauses     :   45 (  37 unt;   8 nHn;  45 RR)
%            Number of literals    :   80 (  75 equ;  16 neg)
%            Maximal clause size   :    8 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   2 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   8 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_252,negated_conjecture,
    op1(j(e20),j(e20)) = j(op2(e20,e20)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o5hprx3a/input.p',i_0_252) ).

cnf(i_0_189,plain,
    op2(e20,e20) = e20,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o5hprx3a/input.p',i_0_189) ).

cnf(i_0_309,plain,
    ( j(e20) = e10
    | j(e20) = e11
    | j(e20) = e12
    | j(e20) = e13
    | j(e20) = e14
    | j(e20) = e15
    | j(e20) = e16
    | ~ epred1_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o5hprx3a/input.p',i_0_309) ).

cnf(i_0_302,negated_conjecture,
    epred1_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o5hprx3a/input.p',i_0_302) ).

cnf(i_0_92,plain,
    op1(e16,e16) = e10,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o5hprx3a/input.p',i_0_92) ).

cnf(i_0_16,plain,
    e16 != e10,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o5hprx3a/input.p',i_0_16) ).

cnf(i_0_100,plain,
    op1(e15,e15) = e11,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o5hprx3a/input.p',i_0_100) ).

cnf(i_0_12,plain,
    e15 != e11,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o5hprx3a/input.p',i_0_12) ).

cnf(i_0_108,plain,
    op1(e14,e14) = e12,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o5hprx3a/input.p',i_0_108) ).

cnf(i_0_9,plain,
    e14 != e12,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o5hprx3a/input.p',i_0_9) ).

cnf(i_0_116,plain,
    op1(e13,e13) = e14,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o5hprx3a/input.p',i_0_116) ).

cnf(i_0_6,plain,
    e14 != e13,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o5hprx3a/input.p',i_0_6) ).

cnf(i_0_124,plain,
    op1(e12,e12) = e15,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o5hprx3a/input.p',i_0_124) ).

cnf(i_0_8,plain,
    e15 != e12,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o5hprx3a/input.p',i_0_8) ).

cnf(i_0_132,plain,
    op1(e11,e11) = e16,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o5hprx3a/input.p',i_0_132) ).

cnf(i_0_11,plain,
    e16 != e11,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o5hprx3a/input.p',i_0_11) ).

cnf(i_0_140,plain,
    op1(e10,e10) = e13,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o5hprx3a/input.p',i_0_140) ).

cnf(i_0_19,plain,
    e13 != e10,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o5hprx3a/input.p',i_0_19) ).

cnf(c_0_328,negated_conjecture,
    op1(j(e20),j(e20)) = j(op2(e20,e20)),
    i_0_252 ).

cnf(c_0_329,plain,
    op2(e20,e20) = e20,
    i_0_189 ).

cnf(c_0_330,plain,
    ( j(e20) = e10
    | j(e20) = e11
    | j(e20) = e12
    | j(e20) = e13
    | j(e20) = e14
    | j(e20) = e15
    | j(e20) = e16
    | ~ epred1_0 ),
    i_0_309 ).

cnf(c_0_331,negated_conjecture,
    epred1_0,
    i_0_302 ).

cnf(c_0_332,negated_conjecture,
    op1(j(e20),j(e20)) = j(e20),
    inference(rw,[status(thm)],[c_0_328,c_0_329]) ).

cnf(c_0_333,plain,
    ( j(e20) = e16
    | j(e20) = e15
    | j(e20) = e14
    | j(e20) = e13
    | j(e20) = e12
    | j(e20) = e11
    | j(e20) = e10 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_330,c_0_331])]) ).

cnf(c_0_334,plain,
    op1(e16,e16) = e10,
    i_0_92 ).

cnf(c_0_335,plain,
    e16 != e10,
    i_0_16 ).

cnf(c_0_336,plain,
    ( j(e20) = e10
    | j(e20) = e11
    | j(e20) = e12
    | j(e20) = e13
    | j(e20) = e14
    | j(e20) = e15 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_333]),c_0_334]),c_0_335]) ).

cnf(c_0_337,plain,
    op1(e15,e15) = e11,
    i_0_100 ).

cnf(c_0_338,plain,
    e15 != e11,
    i_0_12 ).

cnf(c_0_339,negated_conjecture,
    ( j(e20) = e14
    | j(e20) = e13
    | j(e20) = e12
    | j(e20) = e11
    | j(e20) = e10 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_336]),c_0_337]),c_0_338]) ).

cnf(c_0_340,plain,
    op1(e14,e14) = e12,
    i_0_108 ).

cnf(c_0_341,plain,
    e14 != e12,
    i_0_9 ).

cnf(c_0_342,negated_conjecture,
    ( j(e20) = e10
    | j(e20) = e11
    | j(e20) = e12
    | j(e20) = e13 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_339]),c_0_340]),c_0_341]) ).

cnf(c_0_343,plain,
    op1(e13,e13) = e14,
    i_0_116 ).

cnf(c_0_344,plain,
    e14 != e13,
    i_0_6 ).

cnf(c_0_345,negated_conjecture,
    ( j(e20) = e12
    | j(e20) = e11
    | j(e20) = e10 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_342]),c_0_343]),c_0_344]) ).

cnf(c_0_346,plain,
    op1(e12,e12) = e15,
    i_0_124 ).

cnf(c_0_347,plain,
    e15 != e12,
    i_0_8 ).

cnf(c_0_348,negated_conjecture,
    ( j(e20) = e10
    | j(e20) = e11 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_345]),c_0_346]),c_0_347]) ).

cnf(c_0_349,plain,
    op1(e11,e11) = e16,
    i_0_132 ).

cnf(c_0_350,plain,
    e16 != e11,
    i_0_11 ).

cnf(c_0_351,negated_conjecture,
    j(e20) = e10,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_348]),c_0_349]),c_0_350]) ).

cnf(c_0_352,plain,
    op1(e10,e10) = e13,
    i_0_140 ).

cnf(c_0_353,plain,
    e13 != e10,
    i_0_19 ).

cnf(c_0_354,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_332,c_0_351]),c_0_351]),c_0_352]),c_0_351]),c_0_353]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ALG204+1 : TPTP v8.1.0. Released v2.7.0.
% 0.00/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n024.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % 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 : Thu Jun  9 06:11:51 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 7.90/2.31  # ENIGMATIC: Solved by autoschedule:
% 7.90/2.31  # No SInE strategy applied
% 7.90/2.31  # Trying AutoSched0 for 150 seconds
% 7.90/2.31  # AutoSched0-Mode selected heuristic G_____0010_evo
% 7.90/2.31  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.90/2.31  #
% 7.90/2.31  # Preprocessing time       : 0.024 s
% 7.90/2.31  
% 7.90/2.31  # Proof found!
% 7.90/2.31  # SZS status Theorem
% 7.90/2.31  # SZS output start CNFRefutation
% See solution above
% 7.90/2.31  # Training examples: 0 positive, 0 negative
% 7.90/2.31  
% 7.90/2.31  # -------------------------------------------------
% 7.90/2.31  # User time                : 0.028 s
% 7.90/2.31  # System time              : 0.008 s
% 7.90/2.31  # Total time               : 0.036 s
% 7.90/2.31  # Maximum resident set size: 7120 pages
% 7.90/2.31  
%------------------------------------------------------------------------------