TSTP Solution File: NUM840+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM840+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n006.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 08:40:29 EDT 2022

% Result   : Theorem 7.30s 2.22s
% Output   : CNFRefutation 7.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   43 (  21 unt;   8 nHn;  33 RR)
%            Number of literals    :   69 (  33 equ;  27 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   62 (  12 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_1,negated_conjecture,
    ~ less(vd328,vd329),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kl6h4nxu/input.p',i_0_1) ).

cnf(i_0_23,plain,
    ( X1 = X2
    | less(X1,X2)
    | greater(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kl6h4nxu/input.p',i_0_23) ).

cnf(i_0_36,plain,
    vplus(X1,X2) != X2,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kl6h4nxu/input.p',i_0_36) ).

cnf(i_0_40,plain,
    vplus(vplus(X1,X2),X3) = vplus(X1,vplus(X2,X3)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kl6h4nxu/input.p',i_0_40) ).

cnf(i_0_22,plain,
    ( less(X1,X2)
    | ~ greater(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kl6h4nxu/input.p',i_0_22) ).

cnf(i_0_37,plain,
    vplus(X1,X2) = vplus(X2,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kl6h4nxu/input.p',i_0_37) ).

cnf(i_0_28,plain,
    ( vplus(X1,esk1_2(X2,X1)) = X2
    | ~ less(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kl6h4nxu/input.p',i_0_28) ).

cnf(i_0_25,plain,
    ( ~ less(X1,X2)
    | ~ greater(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kl6h4nxu/input.p',i_0_25) ).

cnf(i_0_8,plain,
    greater(vplus(X1,X2),X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kl6h4nxu/input.p',i_0_8) ).

cnf(i_0_31,plain,
    ( X1 = X2
    | vplus(X1,esk4_2(X1,X2)) = X2
    | vplus(X2,esk3_2(X1,X2)) = X1 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kl6h4nxu/input.p',i_0_31) ).

cnf(i_0_2,plain,
    less(vplus(vd328,vd330),vplus(vd329,vd330)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kl6h4nxu/input.p',i_0_2) ).

cnf(i_0_21,plain,
    ( greater(X1,X2)
    | ~ less(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kl6h4nxu/input.p',i_0_21) ).

cnf(i_0_26,plain,
    ( X1 != X2
    | ~ greater(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kl6h4nxu/input.p',i_0_26) ).

cnf(c_0_54,negated_conjecture,
    ~ less(vd328,vd329),
    i_0_1 ).

cnf(c_0_55,plain,
    ( X1 = X2
    | less(X1,X2)
    | greater(X1,X2) ),
    i_0_23 ).

cnf(c_0_56,plain,
    vplus(X1,X2) != X2,
    i_0_36 ).

cnf(c_0_57,plain,
    vplus(vplus(X1,X2),X3) = vplus(X1,vplus(X2,X3)),
    i_0_40 ).

cnf(c_0_58,plain,
    ( less(X1,X2)
    | ~ greater(X2,X1) ),
    i_0_22 ).

cnf(c_0_59,negated_conjecture,
    ( vd329 = vd328
    | greater(vd328,vd329) ),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_60,plain,
    vplus(X1,vplus(X2,X3)) != X3,
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_61,plain,
    vplus(X1,X2) = vplus(X2,X1),
    i_0_37 ).

cnf(c_0_62,plain,
    ( vplus(X1,esk1_2(X2,X1)) = X2
    | ~ less(X1,X2) ),
    i_0_28 ).

cnf(c_0_63,plain,
    ( vd329 = vd328
    | less(vd329,vd328) ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_64,plain,
    vplus(X1,vplus(X2,X3)) != X2,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_57]) ).

cnf(c_0_65,plain,
    ( vplus(vd329,esk1_2(vd328,vd329)) = vd328
    | vd329 = vd328 ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_66,plain,
    ( ~ less(X1,X2)
    | ~ greater(X1,X2) ),
    i_0_25 ).

cnf(c_0_67,plain,
    greater(vplus(X1,X2),X1),
    i_0_8 ).

cnf(c_0_68,plain,
    ( vd329 = vd328
    | vplus(X1,vd328) != vd329 ),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_69,plain,
    ~ less(vplus(X1,X2),X1),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_70,plain,
    ( vd329 = vd328
    | vplus(vd328,X1) != vd329 ),
    inference(spm,[status(thm)],[c_0_68,c_0_61]) ).

cnf(c_0_71,plain,
    ( X1 = X2
    | vplus(X1,esk4_2(X1,X2)) = X2
    | vplus(X2,esk3_2(X1,X2)) = X1 ),
    i_0_31 ).

cnf(c_0_72,plain,
    ~ less(vplus(X1,vplus(X2,X3)),vplus(X1,X2)),
    inference(spm,[status(thm)],[c_0_69,c_0_57]) ).

cnf(c_0_73,plain,
    ( vplus(vd329,esk3_2(vd328,vd329)) = vd328
    | vd329 = vd328 ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71])]) ).

cnf(c_0_74,plain,
    less(vplus(vd328,vd330),vplus(vd329,vd330)),
    i_0_2 ).

cnf(c_0_75,plain,
    ( vd329 = vd328
    | ~ less(vplus(X1,vd328),vplus(X1,vd329)) ),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_76,plain,
    ( greater(X1,X2)
    | ~ less(X2,X1) ),
    i_0_21 ).

cnf(c_0_77,plain,
    less(vplus(vd328,vd330),vplus(vd330,vd329)),
    inference(rw,[status(thm)],[c_0_74,c_0_61]) ).

cnf(c_0_78,plain,
    ( vd329 = vd328
    | ~ less(vplus(vd328,X1),vplus(X1,vd329)) ),
    inference(spm,[status(thm)],[c_0_75,c_0_61]) ).

cnf(c_0_79,plain,
    ( X1 != X2
    | ~ greater(X1,X2) ),
    i_0_26 ).

cnf(c_0_80,plain,
    greater(vplus(vd330,vd329),vplus(vd328,vd330)),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_81,plain,
    vd329 = vd328,
    inference(spm,[status(thm)],[c_0_78,c_0_77]) ).

cnf(c_0_82,plain,
    ~ greater(X1,X1),
    inference(er,[status(thm)],[c_0_79]) ).

cnf(c_0_83,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_81]),c_0_61]),c_0_82]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : NUM840+1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.32  % Computer : n006.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Thu Jul  7 00:12:23 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 7.30/2.22  # ENIGMATIC: Solved by autoschedule:
% 7.30/2.22  # No SInE strategy applied
% 7.30/2.22  # Trying AutoSched0 for 150 seconds
% 7.30/2.22  # AutoSched0-Mode selected heuristic G_E___208_B00_00_F1_SE_CS_SP_PS_S071I
% 7.30/2.22  # and selection function SelectCQArEqLast.
% 7.30/2.22  #
% 7.30/2.22  # Preprocessing time       : 0.023 s
% 7.30/2.22  # Presaturation interreduction done
% 7.30/2.22  
% 7.30/2.22  # Proof found!
% 7.30/2.22  # SZS status Theorem
% 7.30/2.22  # SZS output start CNFRefutation
% See solution above
% 7.30/2.22  # Training examples: 0 positive, 0 negative
% 7.30/2.22  
% 7.30/2.22  # -------------------------------------------------
% 7.30/2.22  # User time                : 0.054 s
% 7.30/2.22  # System time              : 0.010 s
% 7.30/2.22  # Total time               : 0.064 s
% 7.30/2.22  # Maximum resident set size: 7124 pages
% 7.30/2.22  
%------------------------------------------------------------------------------