TSTP Solution File: RNG081+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : RNG081+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n032.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 20:24:56 EDT 2022

% Result   : Theorem 7.82s 2.32s
% Output   : CNFRefutation 7.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   30 (  18 unt;   2 nHn;  30 RR)
%            Number of literals    :   50 (  23 equ;  21 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   12 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_62,negated_conjecture,
    ( aDimensionOf0(xs) = sz00
    | sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fazw9ef6/lgb.p',i_0_62) ).

cnf(i_0_61,negated_conjecture,
    ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fazw9ef6/lgb.p',i_0_61) ).

cnf(i_0_60,hypothesis,
    aDimensionOf0(xt) = aDimensionOf0(xs),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fazw9ef6/lgb.p',i_0_60) ).

cnf(i_0_54,plain,
    ( sdtasasdt0(X1,X2) = sz0z00
    | aDimensionOf0(X2) != sz00
    | aDimensionOf0(X1) != aDimensionOf0(X2)
    | ~ aVector0(X2)
    | ~ aVector0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fazw9ef6/lgb.p',i_0_54) ).

cnf(i_0_57,hypothesis,
    aVector0(xt),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fazw9ef6/lgb.p',i_0_57) ).

cnf(i_0_58,hypothesis,
    aVector0(xs),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fazw9ef6/lgb.p',i_0_58) ).

cnf(i_0_42,plain,
    ( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fazw9ef6/lgb.p',i_0_42) ).

cnf(i_0_19,plain,
    ( sdtasdt0(sz0z00,X1) = sz0z00
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fazw9ef6/lgb.p',i_0_19) ).

cnf(i_0_11,plain,
    aScalar0(sz0z00),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fazw9ef6/lgb.p',i_0_11) ).

cnf(i_0_20,plain,
    ( sdtasdt0(X1,sz0z00) = sz0z00
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fazw9ef6/lgb.p',i_0_20) ).

cnf(c_0_73,negated_conjecture,
    ( aDimensionOf0(xs) = sz00
    | sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
    i_0_62 ).

cnf(c_0_74,negated_conjecture,
    ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
    i_0_61 ).

cnf(c_0_75,hypothesis,
    aDimensionOf0(xt) = aDimensionOf0(xs),
    i_0_60 ).

cnf(c_0_76,negated_conjecture,
    aDimensionOf0(xs) = sz00,
    inference(sr,[status(thm)],[c_0_73,c_0_74]) ).

cnf(c_0_77,plain,
    ( sdtasasdt0(X1,X2) = sz0z00
    | aDimensionOf0(X2) != sz00
    | aDimensionOf0(X1) != aDimensionOf0(X2)
    | ~ aVector0(X2)
    | ~ aVector0(X1) ),
    i_0_54 ).

cnf(c_0_78,hypothesis,
    aDimensionOf0(xt) = sz00,
    inference(rw,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_79,hypothesis,
    aVector0(xt),
    i_0_57 ).

cnf(c_0_80,hypothesis,
    aVector0(xs),
    i_0_58 ).

cnf(c_0_81,hypothesis,
    ( sdtasasdt0(X1,xt) = sz0z00
    | aDimensionOf0(X1) != sz00
    | ~ aVector0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79])]) ).

cnf(c_0_82,negated_conjecture,
    ( sdtasasdt0(X1,xs) = sz0z00
    | aDimensionOf0(X1) != sz00
    | ~ aVector0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_76]),c_0_80])]) ).

cnf(c_0_83,hypothesis,
    sdtasasdt0(xt,xt) = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_78]),c_0_79])]) ).

cnf(c_0_84,negated_conjecture,
    sdtasasdt0(xs,xt) = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_76]),c_0_80])]) ).

cnf(c_0_85,negated_conjecture,
    sdtasasdt0(xs,xs) = sz0z00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_76]),c_0_80])]) ).

cnf(c_0_86,plain,
    ( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
    | ~ aScalar0(X1) ),
    i_0_42 ).

cnf(c_0_87,plain,
    ( sdtasdt0(sz0z00,X1) = sz0z00
    | ~ aScalar0(X1) ),
    i_0_19 ).

cnf(c_0_88,plain,
    aScalar0(sz0z00),
    i_0_11 ).

cnf(c_0_89,negated_conjecture,
    ~ sdtlseqdt0(sdtasdt0(sz0z00,sz0z00),sdtasdt0(sz0z00,sz0z00)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_83]),c_0_84]),c_0_84]),c_0_85]) ).

cnf(c_0_90,plain,
    ( sdtasdt0(X1,sz0z00) = sz0z00
    | ~ aScalar0(X1) ),
    i_0_20 ).

cnf(c_0_91,plain,
    sdtlseqdt0(sz0z00,sz0z00),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88])]) ).

cnf(c_0_92,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91]),c_0_88])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : RNG081+2 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.10  % Command  : enigmatic-eprover.py %s %d 1
% 0.10/0.30  % Computer : n032.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 600
% 0.10/0.30  % DateTime : Mon May 30 20:58:29 EDT 2022
% 0.10/0.30  % CPUTime  : 
% 0.15/0.38  # ENIGMATIC: Selected complete mode:
% 7.82/2.32  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.82/2.32  # No SInE strategy applied
% 7.82/2.32  # Trying AutoSched0 for 150 seconds
% 7.82/2.32  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 7.82/2.32  # and selection function SelectNewComplexAHP.
% 7.82/2.32  #
% 7.82/2.32  # Preprocessing time       : 0.018 s
% 7.82/2.32  # Presaturation interreduction done
% 7.82/2.32  
% 7.82/2.32  # Proof found!
% 7.82/2.32  # SZS status Theorem
% 7.82/2.32  # SZS output start CNFRefutation
% See solution above
% 7.82/2.32  # Training examples: 0 positive, 0 negative
% 7.82/2.32  
% 7.82/2.32  # -------------------------------------------------
% 7.82/2.32  # User time                : 0.019 s
% 7.82/2.32  # System time              : 0.008 s
% 7.82/2.32  # Total time               : 0.028 s
% 7.82/2.32  # Maximum resident set size: 7128 pages
% 7.82/2.32  
%------------------------------------------------------------------------------