TSTP Solution File: NUM839+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM839+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n021.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 : Mon Jul 18 08:40:28 EDT 2022

% Result   : Theorem 7.90s 2.60s
% Output   : CNFRefutation 7.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   45 (  26 unt;   7 nHn;  34 RR)
%            Number of literals    :   70 (  40 equ;  30 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :   79 (  18 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_23,plain,
    ( ~ greater(X1,X2)
    | ~ less(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jqgdvi19/input.p',i_0_23) ).

cnf(i_0_6,plain,
    greater(vplus(X1,X2),X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jqgdvi19/input.p',i_0_6) ).

cnf(i_0_34,plain,
    vplus(X1,X2) != X2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jqgdvi19/input.p',i_0_34) ).

cnf(i_0_38,plain,
    vplus(vplus(X1,X2),X3) = vplus(X1,vplus(X2,X3)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jqgdvi19/input.p',i_0_38) ).

cnf(i_0_26,plain,
    ( vplus(X1,esk1_2(X2,X1)) = X2
    | ~ less(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jqgdvi19/input.p',i_0_26) ).

cnf(i_0_21,plain,
    ( X1 = X2
    | greater(X1,X2)
    | less(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jqgdvi19/input.p',i_0_21) ).

cnf(i_0_30,plain,
    ( X1 != X2
    | X2 != vplus(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jqgdvi19/input.p',i_0_30) ).

cnf(i_0_35,plain,
    vplus(X1,X2) = vplus(X2,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jqgdvi19/input.p',i_0_35) ).

cnf(i_0_1,negated_conjecture,
    ~ greater(vd328,vd329),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jqgdvi19/input.p',i_0_1) ).

cnf(i_0_2,plain,
    greater(vplus(vd328,vd330),vplus(vd329,vd330)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jqgdvi19/input.p',i_0_2) ).

cnf(i_0_28,plain,
    ( vplus(X1,esk2_2(X1,X2)) = X2
    | ~ greater(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jqgdvi19/input.p',i_0_28) ).

cnf(i_0_29,plain,
    ( X1 = X2
    | vplus(X1,esk4_2(X1,X2)) = X2
    | vplus(X2,esk3_2(X1,X2)) = X1 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jqgdvi19/input.p',i_0_29) ).

cnf(i_0_20,plain,
    ( less(X1,X2)
    | ~ greater(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jqgdvi19/input.p',i_0_20) ).

cnf(c_0_52,plain,
    ( ~ greater(X1,X2)
    | ~ less(X1,X2) ),
    i_0_23 ).

cnf(c_0_53,plain,
    greater(vplus(X1,X2),X1),
    i_0_6 ).

cnf(c_0_54,plain,
    vplus(X1,X2) != X2,
    i_0_34 ).

cnf(c_0_55,plain,
    vplus(vplus(X1,X2),X3) = vplus(X1,vplus(X2,X3)),
    i_0_38 ).

cnf(c_0_56,plain,
    ( vplus(X1,esk1_2(X2,X1)) = X2
    | ~ less(X1,X2) ),
    i_0_26 ).

cnf(c_0_57,plain,
    ( X1 = X2
    | greater(X1,X2)
    | less(X1,X2) ),
    i_0_21 ).

cnf(c_0_58,plain,
    ( X1 != X2
    | X2 != vplus(X1,X3) ),
    i_0_30 ).

cnf(c_0_59,plain,
    ~ less(vplus(X1,X2),X1),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_60,plain,
    vplus(X1,vplus(X2,X3)) != X3,
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_61,plain,
    vplus(X1,X2) = vplus(X2,X1),
    i_0_35 ).

cnf(c_0_62,negated_conjecture,
    ~ greater(vd328,vd329),
    i_0_1 ).

cnf(c_0_63,plain,
    ( vplus(X1,esk1_2(X2,X1)) = X2
    | X1 = X2
    | greater(X1,X2) ),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_64,plain,
    vplus(X1,X2) != X1,
    inference(er,[status(thm)],[c_0_58]) ).

cnf(c_0_65,plain,
    greater(vplus(vd328,vd330),vplus(vd329,vd330)),
    i_0_2 ).

cnf(c_0_66,plain,
    ~ less(vplus(X1,vplus(X2,X3)),vplus(X1,X2)),
    inference(spm,[status(thm)],[c_0_59,c_0_55]) ).

cnf(c_0_67,plain,
    vplus(X1,vplus(X2,X3)) != X2,
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_68,negated_conjecture,
    ( vplus(vd328,esk1_2(vd329,vd328)) = vd329
    | vd329 = vd328 ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_69,plain,
    vplus(X1,vplus(X2,X3)) != vplus(X1,X2),
    inference(spm,[status(thm)],[c_0_64,c_0_55]) ).

cnf(c_0_70,plain,
    ( vplus(X1,esk2_2(X1,X2)) = X2
    | ~ greater(X2,X1) ),
    i_0_28 ).

cnf(c_0_71,plain,
    greater(vplus(vd328,vd330),vplus(vd330,vd329)),
    inference(rw,[status(thm)],[c_0_65,c_0_61]) ).

cnf(c_0_72,plain,
    ~ less(vplus(X1,vplus(X2,X3)),vplus(X2,X1)),
    inference(spm,[status(thm)],[c_0_66,c_0_61]) ).

cnf(c_0_73,plain,
    ( X1 = X2
    | vplus(X1,esk4_2(X1,X2)) = X2
    | vplus(X2,esk3_2(X1,X2)) = X1 ),
    i_0_29 ).

cnf(c_0_74,plain,
    ( less(X1,X2)
    | ~ greater(X2,X1) ),
    i_0_20 ).

cnf(c_0_75,plain,
    ( vd329 = vd328
    | vplus(X1,vd329) != vd328 ),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_76,plain,
    vplus(X1,vplus(X2,vplus(X3,X4))) != vplus(X1,vplus(X2,X3)),
    inference(spm,[status(thm)],[c_0_69,c_0_55]) ).

cnf(c_0_77,plain,
    vplus(vd330,vplus(vd329,esk2_2(vplus(vd330,vd329),vplus(vd328,vd330)))) = vplus(vd328,vd330),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_55]) ).

cnf(c_0_78,plain,
    ( vplus(X1,esk3_2(X2,X1)) = X2
    | X2 = X1
    | ~ less(vplus(X3,X1),vplus(X2,X3)) ),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_79,plain,
    less(vplus(vd330,vd329),vplus(vd328,vd330)),
    inference(spm,[status(thm)],[c_0_74,c_0_71]) ).

cnf(c_0_80,plain,
    ( vd329 = vd328
    | vplus(vd329,X1) != vd328 ),
    inference(spm,[status(thm)],[c_0_75,c_0_61]) ).

cnf(c_0_81,plain,
    vplus(X1,vplus(vd330,vd329)) != vplus(X1,vplus(vd328,vd330)),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_82,plain,
    vd329 = vd328,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80]) ).

cnf(c_0_83,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_82]),c_0_61])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07  % Problem  : NUM839+1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.08  % Command  : enigmatic-eprover.py %s %d 1
% 0.07/0.28  % Computer : n021.cluster.edu
% 0.07/0.28  % Model    : x86_64 x86_64
% 0.07/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.28  % Memory   : 8042.1875MB
% 0.07/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.28  % CPULimit : 300
% 0.07/0.28  % WCLimit  : 600
% 0.07/0.28  % DateTime : Wed Jul  6 08:50:20 EDT 2022
% 0.07/0.28  % CPUTime  : 
% 0.12/0.37  # ENIGMATIC: Selected complete mode:
% 7.90/2.60  # ENIGMATIC: Solved by autoschedule:
% 7.90/2.60  # No SInE strategy applied
% 7.90/2.60  # Trying AutoSched0 for 150 seconds
% 7.90/2.60  # AutoSched0-Mode selected heuristic G_E___208_B00_00_F1_SE_CS_SP_PS_S071I
% 7.90/2.60  # and selection function SelectCQArEqLast.
% 7.90/2.60  #
% 7.90/2.60  # Preprocessing time       : 0.020 s
% 7.90/2.60  # Presaturation interreduction done
% 7.90/2.60  
% 7.90/2.60  # Proof found!
% 7.90/2.60  # SZS status Theorem
% 7.90/2.60  # SZS output start CNFRefutation
% See solution above
% 7.90/2.60  # Training examples: 0 positive, 0 negative
% 7.90/2.60  
% 7.90/2.60  # -------------------------------------------------
% 7.90/2.60  # User time                : 0.148 s
% 7.90/2.60  # System time              : 0.009 s
% 7.90/2.60  # Total time               : 0.157 s
% 7.90/2.60  # Maximum resident set size: 7120 pages
% 7.90/2.60  
%------------------------------------------------------------------------------