TSTP Solution File: NUM436+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM436+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n007.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 08:35:59 EDT 2022

% Result   : Theorem 7.33s 2.35s
% Output   : CNFRefutation 7.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   20 (  13 unt;   0 nHn;  20 RR)
%            Number of literals    :   36 (  13 equ;  22 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   12 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_57,negated_conjecture,
    ( sdtasdt0(xp,X1) != sdtpldt0(xa,smndt0(xb))
    | sdtasdt0(xq,X2) != sdtpldt0(xa,smndt0(xb))
    | ~ aInteger0(X1)
    | ~ aInteger0(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ic0mwv7g/input.p',i_0_57) ).

cnf(i_0_48,hypothesis,
    sdtasdt0(xp,sdtasdt0(xq,xm)) = sdtpldt0(xa,smndt0(xb)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ic0mwv7g/input.p',i_0_48) ).

cnf(i_0_6,plain,
    ( aInteger0(sdtasdt0(X1,X2))
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ic0mwv7g/input.p',i_0_6) ).

cnf(i_0_46,hypothesis,
    aInteger0(xm),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ic0mwv7g/input.p',i_0_46) ).

cnf(i_0_35,hypothesis,
    aInteger0(xq),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ic0mwv7g/input.p',i_0_35) ).

cnf(i_0_47,hypothesis,
    sdtasdt0(xq,sdtasdt0(xp,xm)) = sdtpldt0(xa,smndt0(xb)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ic0mwv7g/input.p',i_0_47) ).

cnf(i_0_37,hypothesis,
    aInteger0(xp),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ic0mwv7g/input.p',i_0_37) ).

cnf(c_0_65,negated_conjecture,
    ( sdtasdt0(xp,X1) != sdtpldt0(xa,smndt0(xb))
    | sdtasdt0(xq,X2) != sdtpldt0(xa,smndt0(xb))
    | ~ aInteger0(X1)
    | ~ aInteger0(X2) ),
    i_0_57 ).

cnf(c_0_66,hypothesis,
    sdtasdt0(xp,sdtasdt0(xq,xm)) = sdtpldt0(xa,smndt0(xb)),
    i_0_48 ).

cnf(c_0_67,negated_conjecture,
    ( sdtasdt0(xp,X1) != sdtasdt0(xp,sdtasdt0(xq,xm))
    | sdtasdt0(xq,X2) != sdtasdt0(xp,sdtasdt0(xq,xm))
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_66]),c_0_66]) ).

cnf(c_0_68,negated_conjecture,
    ( sdtasdt0(xq,X1) != sdtasdt0(xp,sdtasdt0(xq,xm))
    | ~ aInteger0(sdtasdt0(xq,xm))
    | ~ aInteger0(X1) ),
    inference(er,[status(thm)],[c_0_67]) ).

cnf(c_0_69,plain,
    ( aInteger0(sdtasdt0(X1,X2))
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    i_0_6 ).

cnf(c_0_70,hypothesis,
    aInteger0(xm),
    i_0_46 ).

cnf(c_0_71,hypothesis,
    aInteger0(xq),
    i_0_35 ).

cnf(c_0_72,hypothesis,
    sdtasdt0(xq,sdtasdt0(xp,xm)) = sdtpldt0(xa,smndt0(xb)),
    i_0_47 ).

cnf(c_0_73,plain,
    ( sdtasdt0(xq,X1) != sdtasdt0(xp,sdtasdt0(xq,xm))
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]),c_0_71])]) ).

cnf(c_0_74,hypothesis,
    sdtasdt0(xq,sdtasdt0(xp,xm)) = sdtasdt0(xp,sdtasdt0(xq,xm)),
    inference(rw,[status(thm)],[c_0_72,c_0_66]) ).

cnf(c_0_75,hypothesis,
    ~ aInteger0(sdtasdt0(xp,xm)),
    inference(spm,[status(thm)],[c_0_73,c_0_74]) ).

cnf(c_0_76,hypothesis,
    aInteger0(xp),
    i_0_37 ).

cnf(c_0_77,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_69]),c_0_70]),c_0_76])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM436+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n007.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 : Tue Jul  5 08:47:59 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 7.33/2.35  # ENIGMATIC: Solved by autoschedule:
% 7.33/2.35  # No SInE strategy applied
% 7.33/2.35  # Trying AutoSched0 for 150 seconds
% 7.33/2.35  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 7.33/2.35  # and selection function SelectNewComplexAHP.
% 7.33/2.35  #
% 7.33/2.35  # Preprocessing time       : 0.023 s
% 7.33/2.35  # Presaturation interreduction done
% 7.33/2.35  
% 7.33/2.35  # Proof found!
% 7.33/2.35  # SZS status Theorem
% 7.33/2.35  # SZS output start CNFRefutation
% See solution above
% 7.33/2.35  # Training examples: 0 positive, 0 negative
% 7.33/2.35  
% 7.33/2.35  # -------------------------------------------------
% 7.33/2.35  # User time                : 0.029 s
% 7.33/2.35  # System time              : 0.008 s
% 7.33/2.35  # Total time               : 0.037 s
% 7.33/2.35  # Maximum resident set size: 7120 pages
% 7.33/2.35  
%------------------------------------------------------------------------------