TSTP Solution File: NUM435+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM435+3 : TPTP v8.1.0. Released v4.0.0.
% 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 : Mon Jul 18 08:35:58 EDT 2022

% Result   : Theorem 4.62s 2.23s
% Output   : CNFRefutation 4.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   31 (  23 unt;   0 nHn;  31 RR)
%            Number of literals    :   49 (  20 equ;  22 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   17 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_42,hypothesis,
    sdtasdt0(sdtasdt0(xp,xq),esk2_0) = sdtpldt0(xa,smndt0(xb)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yc40gfnx/lgb.p',i_0_42) ).

cnf(i_0_45,hypothesis,
    sdtasdt0(sdtasdt0(xp,xq),xm) = sdtpldt0(xa,smndt0(xb)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yc40gfnx/lgb.p',i_0_45) ).

cnf(i_0_13,plain,
    ( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
    | ~ aInteger0(X3)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yc40gfnx/lgb.p',i_0_13) ).

cnf(i_0_43,hypothesis,
    aInteger0(esk2_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yc40gfnx/lgb.p',i_0_43) ).

cnf(i_0_35,hypothesis,
    aInteger0(xq),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yc40gfnx/lgb.p',i_0_35) ).

cnf(i_0_37,hypothesis,
    aInteger0(xp),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yc40gfnx/lgb.p',i_0_37) ).

cnf(i_0_46,hypothesis,
    aInteger0(xm),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yc40gfnx/lgb.p',i_0_46) ).

cnf(i_0_14,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yc40gfnx/lgb.p',i_0_14) ).

cnf(i_0_6,plain,
    ( aInteger0(sdtasdt0(X1,X2))
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yc40gfnx/lgb.p',i_0_6) ).

cnf(i_0_47,negated_conjecture,
    sdtasdt0(xq,sdtasdt0(xp,xm)) != sdtpldt0(xa,smndt0(xb)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yc40gfnx/lgb.p',i_0_47) ).

cnf(c_0_58,hypothesis,
    sdtasdt0(sdtasdt0(xp,xq),esk2_0) = sdtpldt0(xa,smndt0(xb)),
    i_0_42 ).

cnf(c_0_59,hypothesis,
    sdtasdt0(sdtasdt0(xp,xq),xm) = sdtpldt0(xa,smndt0(xb)),
    i_0_45 ).

cnf(c_0_60,hypothesis,
    sdtasdt0(sdtasdt0(xp,xq),esk2_0) = sdtasdt0(sdtasdt0(xp,xq),xm),
    inference(rw,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_61,plain,
    ( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
    | ~ aInteger0(X3)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    i_0_13 ).

cnf(c_0_62,hypothesis,
    aInteger0(esk2_0),
    i_0_43 ).

cnf(c_0_63,hypothesis,
    aInteger0(xq),
    i_0_35 ).

cnf(c_0_64,hypothesis,
    aInteger0(xp),
    i_0_37 ).

cnf(c_0_65,hypothesis,
    sdtasdt0(sdtasdt0(xp,xq),xm) = sdtasdt0(xp,sdtasdt0(xq,esk2_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]),c_0_63]),c_0_64])]) ).

cnf(c_0_66,hypothesis,
    aInteger0(xm),
    i_0_46 ).

cnf(c_0_67,plain,
    sdtasdt0(xp,sdtasdt0(xq,esk2_0)) = sdtasdt0(xp,sdtasdt0(xq,xm)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_65]),c_0_66]),c_0_63]),c_0_64])]) ).

cnf(c_0_68,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    i_0_14 ).

cnf(c_0_69,hypothesis,
    sdtasdt0(sdtasdt0(xp,xq),xm) = sdtasdt0(xp,sdtasdt0(xq,xm)),
    inference(rw,[status(thm)],[c_0_65,c_0_67]) ).

cnf(c_0_70,plain,
    ( sdtasdt0(xm,sdtasdt0(xp,xq)) = sdtasdt0(xp,sdtasdt0(xq,xm))
    | ~ aInteger0(sdtasdt0(xp,xq)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_66])]) ).

cnf(c_0_71,plain,
    ( aInteger0(sdtasdt0(X1,X2))
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    i_0_6 ).

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

cnf(c_0_73,plain,
    sdtasdt0(xm,sdtasdt0(xp,xq)) = sdtasdt0(xp,sdtasdt0(xq,xm)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_63]),c_0_64])]) ).

cnf(c_0_74,plain,
    ( sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(X3,sdtasdt0(X1,X2))
    | ~ aInteger0(X3)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_61]),c_0_71]) ).

cnf(c_0_75,negated_conjecture,
    sdtasdt0(sdtasdt0(xp,xq),xm) != sdtasdt0(xq,sdtasdt0(xp,xm)),
    inference(rw,[status(thm)],[c_0_72,c_0_59]) ).

cnf(c_0_76,plain,
    sdtasdt0(xq,sdtasdt0(xm,xp)) = sdtasdt0(xp,sdtasdt0(xq,xm)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_63]),c_0_64]),c_0_66])]) ).

cnf(c_0_77,negated_conjecture,
    sdtasdt0(xq,sdtasdt0(xp,xm)) != sdtasdt0(xp,sdtasdt0(xq,xm)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_61]),c_0_66]),c_0_63]),c_0_64])]) ).

cnf(c_0_78,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_68]),c_0_64]),c_0_66])]),c_0_77]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : NUM435+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12  % 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 Jul  6 06:38:10 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 4.62/2.23  # ENIGMATIC: Solved by autoschedule-lgb:
% 4.62/2.23  # No SInE strategy applied
% 4.62/2.23  # Trying AutoSched0 for 150 seconds
% 4.62/2.23  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 4.62/2.23  # and selection function SelectNewComplexAHP.
% 4.62/2.23  #
% 4.62/2.23  # Preprocessing time       : 0.023 s
% 4.62/2.23  # Presaturation interreduction done
% 4.62/2.23  
% 4.62/2.23  # Proof found!
% 4.62/2.23  # SZS status Theorem
% 4.62/2.23  # SZS output start CNFRefutation
% See solution above
% 4.62/2.23  # Training examples: 0 positive, 0 negative
% 4.62/2.23  
% 4.62/2.23  # -------------------------------------------------
% 4.62/2.23  # User time                : 0.049 s
% 4.62/2.23  # System time              : 0.005 s
% 4.62/2.23  # Total time               : 0.054 s
% 4.62/2.23  # Maximum resident set size: 7124 pages
% 4.62/2.23  
%------------------------------------------------------------------------------