TSTP Solution File: ALG028+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : ALG028+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n019.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 14:44:12 EDT 2022

% Result   : Theorem 7.79s 2.42s
% Output   : CNFRefutation 7.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   21
% Syntax   : Number of clauses     :   47 (  45 unt;   0 nHn;  47 RR)
%            Number of literals    :   75 (  74 equ;  30 neg)
%            Maximal clause size   :   15 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_534,plain,
    op(op(e4,e4),e4) = e1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47gil21w/lgb.p',i_0_534) ).

cnf(i_0_532,plain,
    op(e4,e4) = e3,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47gil21w/lgb.p',i_0_532) ).

cnf(i_0_550,negated_conjecture,
    op(e4,e3) = op(e3,e4),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47gil21w/lgb.p',i_0_550) ).

cnf(i_0_533,plain,
    op(op(op(e4,e4),e4),e4) = e2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47gil21w/lgb.p',i_0_533) ).

cnf(i_0_562,negated_conjecture,
    op(e1,e4) = op(e4,e1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47gil21w/lgb.p',i_0_562) ).

cnf(i_0_188,plain,
    op(op(e1,e4),e4) = op(e1,op(e4,e4)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47gil21w/lgb.p',i_0_188) ).

cnf(i_0_556,negated_conjecture,
    op(e2,e4) = op(e4,e2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47gil21w/lgb.p',i_0_556) ).

cnf(i_0_189,plain,
    op(op(e1,e4),e3) = op(e1,op(e4,e3)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47gil21w/lgb.p',i_0_189) ).

cnf(i_0_536,negated_conjecture,
    ( op(e1,e0) != op(e0,e1)
    | op(e2,e0) != op(e0,e2)
    | op(e2,e1) != op(e1,e2)
    | op(e0,e3) != op(e3,e0)
    | op(e1,e3) != op(e3,e1)
    | op(e2,e3) != op(e3,e2)
    | op(e0,e4) != op(e4,e0)
    | op(e1,e4) != op(e4,e1)
    | op(e2,e4) != op(e4,e2)
    | op(e4,e3) != op(e3,e4)
    | op(e5,e0) != op(e0,e5)
    | op(e5,e1) != op(e1,e5)
    | op(e5,e2) != op(e2,e5)
    | op(e5,e3) != op(e3,e5)
    | op(e5,e4) != op(e4,e5) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47gil21w/lgb.p',i_0_536) ).

cnf(i_0_571,negated_conjecture,
    op(e1,e0) = op(e0,e1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47gil21w/lgb.p',i_0_571) ).

cnf(i_0_564,negated_conjecture,
    op(e2,e1) = op(e1,e2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47gil21w/lgb.p',i_0_564) ).

cnf(i_0_570,negated_conjecture,
    op(e2,e0) = op(e0,e2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47gil21w/lgb.p',i_0_570) ).

cnf(i_0_563,negated_conjecture,
    op(e1,e3) = op(e3,e1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47gil21w/lgb.p',i_0_563) ).

cnf(i_0_569,negated_conjecture,
    op(e0,e3) = op(e3,e0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47gil21w/lgb.p',i_0_569) ).

cnf(i_0_557,negated_conjecture,
    op(e2,e3) = op(e3,e2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47gil21w/lgb.p',i_0_557) ).

cnf(i_0_568,negated_conjecture,
    op(e0,e4) = op(e4,e0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47gil21w/lgb.p',i_0_568) ).

cnf(i_0_561,negated_conjecture,
    op(e5,e1) = op(e1,e5),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47gil21w/lgb.p',i_0_561) ).

cnf(i_0_567,negated_conjecture,
    op(e5,e0) = op(e0,e5),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47gil21w/lgb.p',i_0_567) ).

cnf(i_0_555,negated_conjecture,
    op(e5,e2) = op(e2,e5),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47gil21w/lgb.p',i_0_555) ).

cnf(i_0_549,negated_conjecture,
    op(e5,e3) = op(e3,e5),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47gil21w/lgb.p',i_0_549) ).

cnf(i_0_543,negated_conjecture,
    op(e5,e4) = op(e4,e5),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47gil21w/lgb.p',i_0_543) ).

cnf(c_0_593,plain,
    op(op(e4,e4),e4) = e1,
    i_0_534 ).

cnf(c_0_594,plain,
    op(e4,e4) = e3,
    i_0_532 ).

cnf(c_0_595,negated_conjecture,
    op(e4,e3) = op(e3,e4),
    i_0_550 ).

cnf(c_0_596,plain,
    op(op(op(e4,e4),e4),e4) = e2,
    i_0_533 ).

cnf(c_0_597,plain,
    op(e4,e3) = e1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_593,c_0_594]),c_0_595]) ).

cnf(c_0_598,negated_conjecture,
    op(e1,e4) = op(e4,e1),
    i_0_562 ).

cnf(c_0_599,plain,
    op(op(e1,e4),e4) = op(e1,op(e4,e4)),
    i_0_188 ).

cnf(c_0_600,plain,
    op(e4,e1) = e2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_596,c_0_594]),c_0_595]),c_0_597]),c_0_598]) ).

cnf(c_0_601,negated_conjecture,
    op(e2,e4) = op(e4,e2),
    i_0_556 ).

cnf(c_0_602,plain,
    op(op(e1,e4),e3) = op(e1,op(e4,e3)),
    i_0_189 ).

cnf(c_0_603,negated_conjecture,
    ( op(e1,e0) != op(e0,e1)
    | op(e2,e0) != op(e0,e2)
    | op(e2,e1) != op(e1,e2)
    | op(e0,e3) != op(e3,e0)
    | op(e1,e3) != op(e3,e1)
    | op(e2,e3) != op(e3,e2)
    | op(e0,e4) != op(e4,e0)
    | op(e1,e4) != op(e4,e1)
    | op(e2,e4) != op(e4,e2)
    | op(e4,e3) != op(e3,e4)
    | op(e5,e0) != op(e0,e5)
    | op(e5,e1) != op(e1,e5)
    | op(e5,e2) != op(e2,e5)
    | op(e5,e3) != op(e3,e5)
    | op(e5,e4) != op(e4,e5) ),
    i_0_536 ).

cnf(c_0_604,negated_conjecture,
    op(e1,e0) = op(e0,e1),
    i_0_571 ).

cnf(c_0_605,negated_conjecture,
    op(e2,e1) = op(e1,e2),
    i_0_564 ).

cnf(c_0_606,negated_conjecture,
    op(e2,e0) = op(e0,e2),
    i_0_570 ).

cnf(c_0_607,negated_conjecture,
    op(e1,e3) = op(e3,e1),
    i_0_563 ).

cnf(c_0_608,plain,
    op(e1,e3) = op(e4,e2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_599,c_0_598]),c_0_600]),c_0_601]),c_0_594]) ).

cnf(c_0_609,negated_conjecture,
    op(e0,e3) = op(e3,e0),
    i_0_569 ).

cnf(c_0_610,negated_conjecture,
    op(e2,e3) = op(e3,e2),
    i_0_557 ).

cnf(c_0_611,plain,
    op(e2,e3) = op(e1,e1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_602,c_0_598]),c_0_600]),c_0_597]) ).

cnf(c_0_612,negated_conjecture,
    op(e0,e4) = op(e4,e0),
    i_0_568 ).

cnf(c_0_613,negated_conjecture,
    op(e5,e1) = op(e1,e5),
    i_0_561 ).

cnf(c_0_614,negated_conjecture,
    op(e5,e0) = op(e0,e5),
    i_0_567 ).

cnf(c_0_615,negated_conjecture,
    op(e5,e2) = op(e2,e5),
    i_0_555 ).

cnf(c_0_616,negated_conjecture,
    op(e5,e3) = op(e3,e5),
    i_0_549 ).

cnf(c_0_617,negated_conjecture,
    op(e5,e4) = op(e4,e5),
    i_0_543 ).

cnf(c_0_618,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_603,c_0_604]),c_0_605]),c_0_606]),c_0_607]),c_0_608]),c_0_608]),c_0_609]),c_0_610]),c_0_611]),c_0_611]),c_0_598]),c_0_600]),c_0_600]),c_0_612]),c_0_601]),c_0_595]),c_0_597]),c_0_597]),c_0_613]),c_0_614]),c_0_615]),c_0_616]),c_0_617])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : ALG028+1 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n019.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 : Wed Jun  8 07:36:11 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 7.79/2.42  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.79/2.42  # No SInE strategy applied
% 7.79/2.42  # Trying AutoSched0 for 150 seconds
% 7.79/2.42  # AutoSched0-Mode selected heuristic H_____011_C07_F1_PI_AE_SP_S0V
% 7.79/2.42  # and selection function PSelectComplexExceptRRHorn.
% 7.79/2.42  #
% 7.79/2.42  # Preprocessing time       : 0.030 s
% 7.79/2.42  
% 7.79/2.42  # Proof found!
% 7.79/2.42  # SZS status Theorem
% 7.79/2.42  # SZS output start CNFRefutation
% See solution above
% 7.79/2.42  # Training examples: 0 positive, 0 negative
% 7.79/2.42  
% 7.79/2.42  # -------------------------------------------------
% 7.79/2.42  # User time                : 0.040 s
% 7.79/2.42  # System time              : 0.007 s
% 7.79/2.42  # Total time               : 0.047 s
% 7.79/2.42  # Maximum resident set size: 7124 pages
% 7.79/2.42  
%------------------------------------------------------------------------------