TSTP Solution File: ALG025+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : ALG025+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 14:44:07 EDT 2022

% Result   : Theorem 7.79s 2.37s
% Output   : CNFRefutation 7.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   22
% Syntax   : Number of clauses     :   55 (  53 unt;   0 nHn;  55 RR)
%            Number of literals    :   83 (  82 equ;  30 neg)
%            Maximal clause size   :   15 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_262,plain,
    op(e1,unit) = e1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9ib9y96t/lgb.p',i_0_262) ).

cnf(i_0_284,plain,
    unit = e0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9ib9y96t/lgb.p',i_0_284) ).

cnf(i_0_263,plain,
    op(unit,e1) = e1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9ib9y96t/lgb.p',i_0_263) ).

cnf(i_0_260,plain,
    op(e2,unit) = e2,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9ib9y96t/lgb.p',i_0_260) ).

cnf(i_0_261,plain,
    op(unit,e2) = e2,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9ib9y96t/lgb.p',i_0_261) ).

cnf(i_0_258,plain,
    op(e3,unit) = e3,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9ib9y96t/lgb.p',i_0_258) ).

cnf(i_0_259,plain,
    op(unit,e3) = e3,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9ib9y96t/lgb.p',i_0_259) ).

cnf(i_0_256,plain,
    op(e4,unit) = e4,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9ib9y96t/lgb.p',i_0_256) ).

cnf(i_0_257,plain,
    op(unit,e4) = e4,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9ib9y96t/lgb.p',i_0_257) ).

cnf(i_0_254,plain,
    op(e5,unit) = e5,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9ib9y96t/lgb.p',i_0_254) ).

cnf(i_0_255,plain,
    op(unit,e5) = e5,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9ib9y96t/lgb.p',i_0_255) ).

cnf(i_0_568,negated_conjecture,
    ( op(e1,e0) != op(e0,e1)
    | op(e2,e0) != op(e0,e2)
    | op(e2,e1) != op(e1,e2)
    | op(e3,e0) != op(e0,e3)
    | op(e3,e1) != op(e1,e3)
    | op(e3,e2) != op(e2,e3)
    | op(e4,e0) != op(e0,e4)
    | op(e4,e1) != op(e1,e4)
    | op(e4,e2) != op(e2,e4)
    | 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/sandbox/tmp/enigma-theBenchmark.p-9ib9y96t/lgb.p',i_0_568) ).

cnf(i_0_559,negated_conjecture,
    op(e2,e1) = op(e1,e2),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9ib9y96t/lgb.p',i_0_559) ).

cnf(i_0_558,negated_conjecture,
    op(e3,e1) = op(e1,e3),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9ib9y96t/lgb.p',i_0_558) ).

cnf(i_0_552,negated_conjecture,
    op(e3,e2) = op(e2,e3),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9ib9y96t/lgb.p',i_0_552) ).

cnf(i_0_557,negated_conjecture,
    op(e4,e1) = op(e1,e4),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9ib9y96t/lgb.p',i_0_557) ).

cnf(i_0_551,negated_conjecture,
    op(e4,e2) = op(e2,e4),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9ib9y96t/lgb.p',i_0_551) ).

cnf(i_0_545,negated_conjecture,
    op(e4,e3) = op(e3,e4),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9ib9y96t/lgb.p',i_0_545) ).

cnf(i_0_556,negated_conjecture,
    op(e5,e1) = op(e1,e5),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9ib9y96t/lgb.p',i_0_556) ).

cnf(i_0_550,negated_conjecture,
    op(e5,e2) = op(e2,e5),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9ib9y96t/lgb.p',i_0_550) ).

cnf(i_0_544,negated_conjecture,
    op(e5,e3) = op(e3,e5),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9ib9y96t/lgb.p',i_0_544) ).

cnf(i_0_538,negated_conjecture,
    op(e5,e4) = op(e4,e5),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9ib9y96t/lgb.p',i_0_538) ).

cnf(c_0_591,plain,
    op(e1,unit) = e1,
    i_0_262 ).

cnf(c_0_592,plain,
    unit = e0,
    i_0_284 ).

cnf(c_0_593,plain,
    op(unit,e1) = e1,
    i_0_263 ).

cnf(c_0_594,plain,
    op(e2,unit) = e2,
    i_0_260 ).

cnf(c_0_595,plain,
    op(unit,e2) = e2,
    i_0_261 ).

cnf(c_0_596,plain,
    op(e3,unit) = e3,
    i_0_258 ).

cnf(c_0_597,plain,
    op(unit,e3) = e3,
    i_0_259 ).

cnf(c_0_598,plain,
    op(e4,unit) = e4,
    i_0_256 ).

cnf(c_0_599,plain,
    op(unit,e4) = e4,
    i_0_257 ).

cnf(c_0_600,plain,
    op(e5,unit) = e5,
    i_0_254 ).

cnf(c_0_601,plain,
    op(unit,e5) = e5,
    i_0_255 ).

cnf(c_0_602,negated_conjecture,
    ( op(e1,e0) != op(e0,e1)
    | op(e2,e0) != op(e0,e2)
    | op(e2,e1) != op(e1,e2)
    | op(e3,e0) != op(e0,e3)
    | op(e3,e1) != op(e1,e3)
    | op(e3,e2) != op(e2,e3)
    | op(e4,e0) != op(e0,e4)
    | op(e4,e1) != op(e1,e4)
    | op(e4,e2) != op(e2,e4)
    | 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_568 ).

cnf(c_0_603,plain,
    op(e1,e0) = e1,
    inference(rw,[status(thm)],[c_0_591,c_0_592]) ).

cnf(c_0_604,plain,
    op(e0,e1) = e1,
    inference(rw,[status(thm)],[c_0_593,c_0_592]) ).

cnf(c_0_605,negated_conjecture,
    op(e2,e1) = op(e1,e2),
    i_0_559 ).

cnf(c_0_606,plain,
    op(e2,e0) = e2,
    inference(rw,[status(thm)],[c_0_594,c_0_592]) ).

cnf(c_0_607,plain,
    op(e0,e2) = e2,
    inference(rw,[status(thm)],[c_0_595,c_0_592]) ).

cnf(c_0_608,negated_conjecture,
    op(e3,e1) = op(e1,e3),
    i_0_558 ).

cnf(c_0_609,plain,
    op(e3,e0) = e3,
    inference(rw,[status(thm)],[c_0_596,c_0_592]) ).

cnf(c_0_610,plain,
    op(e0,e3) = e3,
    inference(rw,[status(thm)],[c_0_597,c_0_592]) ).

cnf(c_0_611,negated_conjecture,
    op(e3,e2) = op(e2,e3),
    i_0_552 ).

cnf(c_0_612,negated_conjecture,
    op(e4,e1) = op(e1,e4),
    i_0_557 ).

cnf(c_0_613,plain,
    op(e4,e0) = e4,
    inference(rw,[status(thm)],[c_0_598,c_0_592]) ).

cnf(c_0_614,plain,
    op(e0,e4) = e4,
    inference(rw,[status(thm)],[c_0_599,c_0_592]) ).

cnf(c_0_615,negated_conjecture,
    op(e4,e2) = op(e2,e4),
    i_0_551 ).

cnf(c_0_616,negated_conjecture,
    op(e4,e3) = op(e3,e4),
    i_0_545 ).

cnf(c_0_617,negated_conjecture,
    op(e5,e1) = op(e1,e5),
    i_0_556 ).

cnf(c_0_618,plain,
    op(e5,e0) = e5,
    inference(rw,[status(thm)],[c_0_600,c_0_592]) ).

cnf(c_0_619,plain,
    op(e0,e5) = e5,
    inference(rw,[status(thm)],[c_0_601,c_0_592]) ).

cnf(c_0_620,negated_conjecture,
    op(e5,e2) = op(e2,e5),
    i_0_550 ).

cnf(c_0_621,negated_conjecture,
    op(e5,e3) = op(e3,e5),
    i_0_544 ).

cnf(c_0_622,negated_conjecture,
    op(e5,e4) = op(e4,e5),
    i_0_538 ).

cnf(c_0_623,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)],[c_0_602,c_0_603]),c_0_604]),c_0_605]),c_0_606]),c_0_607]),c_0_608]),c_0_609]),c_0_610]),c_0_611]),c_0_612]),c_0_613]),c_0_614]),c_0_615]),c_0_616]),c_0_617]),c_0_618]),c_0_619]),c_0_620]),c_0_621]),c_0_622])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : ALG025+1 : TPTP v8.1.0. Released v2.7.0.
% 0.04/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n024.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 : Thu Jun  9 00:11:21 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.20/0.46  # ENIGMATIC: Selected complete mode:
% 7.79/2.37  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.79/2.37  # No SInE strategy applied
% 7.79/2.37  # Trying AutoSched0 for 150 seconds
% 7.79/2.37  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S058I
% 7.79/2.37  # and selection function PSelectMin2Infpos.
% 7.79/2.37  #
% 7.79/2.37  # Preprocessing time       : 0.017 s
% 7.79/2.37  # Presaturation interreduction done
% 7.79/2.37  
% 7.79/2.37  # Proof found!
% 7.79/2.37  # SZS status Theorem
% 7.79/2.37  # SZS output start CNFRefutation
% See solution above
% 7.79/2.37  # Training examples: 0 positive, 0 negative
% 7.79/2.37  
% 7.79/2.37  # -------------------------------------------------
% 7.79/2.37  # User time                : 0.023 s
% 7.79/2.37  # System time              : 0.006 s
% 7.79/2.37  # Total time               : 0.028 s
% 7.79/2.37  # Maximum resident set size: 7128 pages
% 7.79/2.37  
%------------------------------------------------------------------------------