TSTP Solution File: RNG091+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : RNG091+1 : TPTP v8.1.0. Released v4.0.0.
% 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 20:24:57 EDT 2022

% Result   : Theorem 4.48s 2.26s
% Output   : CNFRefutation 4.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   30 (  21 unt;   0 nHn;  30 RR)
%            Number of literals    :   54 (   8 equ;  27 neg)
%            Maximal clause size   :    7 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   9 con; 0-2 aty)
%            Number of variables   :   22 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_35,plain,
    ( aElementOf0(X1,X2)
    | X2 != sdtpldt1(X3,X4)
    | sdtpldt0(X5,X6) != X1
    | ~ aSet0(X4)
    | ~ aSet0(X3)
    | ~ aElementOf0(X6,X4)
    | ~ aElementOf0(X5,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i9b2qer4/lgb.p',i_0_35) ).

cnf(i_0_54,plain,
    ( aSet0(X1)
    | ~ aIdeal0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i9b2qer4/lgb.p',i_0_54) ).

cnf(i_0_55,hypothesis,
    aIdeal0(xJ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i9b2qer4/lgb.p',i_0_55) ).

cnf(i_0_68,hypothesis,
    aElementOf0(sdtasdt0(xz,xl),xJ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i9b2qer4/lgb.p',i_0_68) ).

cnf(i_0_56,hypothesis,
    aIdeal0(xI),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i9b2qer4/lgb.p',i_0_56) ).

cnf(i_0_69,hypothesis,
    aElementOf0(sdtasdt0(xz,xk),xI),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i9b2qer4/lgb.p',i_0_69) ).

cnf(i_0_71,hypothesis,
    sdtpldt0(sdtasdt0(xz,xk),sdtasdt0(xz,xl)) = sdtasdt0(xz,xx),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i9b2qer4/lgb.p',i_0_71) ).

cnf(i_0_66,hypothesis,
    aElementOf0(sdtpldt0(xl,xn),xJ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i9b2qer4/lgb.p',i_0_66) ).

cnf(i_0_72,negated_conjecture,
    ( ~ aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ))
    | ~ aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i9b2qer4/lgb.p',i_0_72) ).

cnf(i_0_67,hypothesis,
    aElementOf0(sdtpldt0(xk,xm),xI),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i9b2qer4/lgb.p',i_0_67) ).

cnf(i_0_70,hypothesis,
    sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)) = sdtpldt0(xx,xy),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i9b2qer4/lgb.p',i_0_70) ).

cnf(c_0_84,plain,
    ( aElementOf0(X1,X2)
    | X2 != sdtpldt1(X3,X4)
    | sdtpldt0(X5,X6) != X1
    | ~ aSet0(X4)
    | ~ aSet0(X3)
    | ~ aElementOf0(X6,X4)
    | ~ aElementOf0(X5,X3) ),
    i_0_35 ).

cnf(c_0_85,plain,
    ( aSet0(X1)
    | ~ aIdeal0(X1) ),
    i_0_54 ).

cnf(c_0_86,hypothesis,
    aIdeal0(xJ),
    i_0_55 ).

cnf(c_0_87,plain,
    ( aElementOf0(sdtpldt0(X1,X2),sdtpldt1(X3,X4))
    | ~ aSet0(X4)
    | ~ aSet0(X3)
    | ~ aElementOf0(X2,X4)
    | ~ aElementOf0(X1,X3) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_84])]) ).

cnf(c_0_88,hypothesis,
    aElementOf0(sdtasdt0(xz,xl),xJ),
    i_0_68 ).

cnf(c_0_89,hypothesis,
    aSet0(xJ),
    inference(spm,[status(thm)],[c_0_85,c_0_86]) ).

cnf(c_0_90,hypothesis,
    aIdeal0(xI),
    i_0_56 ).

cnf(c_0_91,hypothesis,
    ( aElementOf0(sdtpldt0(X1,sdtasdt0(xz,xl)),sdtpldt1(X2,xJ))
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89])]) ).

cnf(c_0_92,hypothesis,
    aElementOf0(sdtasdt0(xz,xk),xI),
    i_0_69 ).

cnf(c_0_93,hypothesis,
    sdtpldt0(sdtasdt0(xz,xk),sdtasdt0(xz,xl)) = sdtasdt0(xz,xx),
    i_0_71 ).

cnf(c_0_94,hypothesis,
    aSet0(xI),
    inference(spm,[status(thm)],[c_0_85,c_0_90]) ).

cnf(c_0_95,hypothesis,
    aElementOf0(sdtpldt0(xl,xn),xJ),
    i_0_66 ).

cnf(c_0_96,negated_conjecture,
    ( ~ aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ))
    | ~ aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ)) ),
    i_0_72 ).

cnf(c_0_97,hypothesis,
    aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93]),c_0_94])]) ).

cnf(c_0_98,hypothesis,
    ( aElementOf0(sdtpldt0(X1,sdtpldt0(xl,xn)),sdtpldt1(X2,xJ))
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_95]),c_0_89])]) ).

cnf(c_0_99,hypothesis,
    aElementOf0(sdtpldt0(xk,xm),xI),
    i_0_67 ).

cnf(c_0_100,hypothesis,
    sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)) = sdtpldt0(xx,xy),
    i_0_70 ).

cnf(c_0_101,negated_conjecture,
    ~ aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_97])]) ).

cnf(c_0_102,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100]),c_0_94])]),c_0_101]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : RNG091+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n021.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 : Mon May 30 20:38:31 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected complete mode:
% 4.48/2.26  # ENIGMATIC: Solved by autoschedule-lgb:
% 4.48/2.26  # No SInE strategy applied
% 4.48/2.26  # Trying AutoSched0 for 150 seconds
% 4.48/2.26  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 4.48/2.26  # and selection function SelectNewComplexAHP.
% 4.48/2.26  #
% 4.48/2.26  # Preprocessing time       : 0.024 s
% 4.48/2.26  # Presaturation interreduction done
% 4.48/2.26  
% 4.48/2.26  # Proof found!
% 4.48/2.26  # SZS status Theorem
% 4.48/2.26  # SZS output start CNFRefutation
% See solution above
% 4.48/2.26  # Training examples: 0 positive, 0 negative
% 4.48/2.26  
% 4.48/2.26  # -------------------------------------------------
% 4.48/2.26  # User time                : 0.095 s
% 4.48/2.26  # System time              : 0.013 s
% 4.48/2.26  # Total time               : 0.107 s
% 4.48/2.26  # Maximum resident set size: 7124 pages
% 4.48/2.26  
%------------------------------------------------------------------------------