TSTP Solution File: LAT382+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT382+1 : 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 : Sun Jul 17 04:30:44 EDT 2022

% Result   : Theorem 8.55s 2.54s
% Output   : CNFRefutation 8.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   31 (  19 unt;   0 nHn;  31 RR)
%            Number of literals    :   65 (   4 equ;  37 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   30 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_25,plain,
    ( aLowerBoundOfIn0(X1,X2,X3)
    | ~ aSet0(X3)
    | ~ aSubsetOf0(X2,X3)
    | ~ aInfimumOfIn0(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t0wpngeu/lgb.p',i_0_25) ).

cnf(i_0_36,hypothesis,
    aInfimumOfIn0(xu,xS,xT),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t0wpngeu/lgb.p',i_0_36) ).

cnf(i_0_34,hypothesis,
    aSubsetOf0(xS,xT),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t0wpngeu/lgb.p',i_0_34) ).

cnf(i_0_33,hypothesis,
    aSet0(xT),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t0wpngeu/lgb.p',i_0_33) ).

cnf(i_0_24,plain,
    ( sdtlseqdt0(X1,X2)
    | ~ aSet0(X3)
    | ~ aSubsetOf0(X4,X3)
    | ~ aLowerBoundOfIn0(X1,X4,X3)
    | ~ aInfimumOfIn0(X2,X4,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t0wpngeu/lgb.p',i_0_24) ).

cnf(i_0_26,plain,
    ( aElementOf0(X1,X2)
    | ~ aSet0(X2)
    | ~ aSubsetOf0(X3,X2)
    | ~ aInfimumOfIn0(X1,X3,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t0wpngeu/lgb.p',i_0_26) ).

cnf(i_0_35,hypothesis,
    aInfimumOfIn0(xv,xS,xT),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t0wpngeu/lgb.p',i_0_35) ).

cnf(i_0_3,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t0wpngeu/lgb.p',i_0_3) ).

cnf(i_0_12,plain,
    ( X1 = X2
    | ~ aElement0(X2)
    | ~ aElement0(X1)
    | ~ sdtlseqdt0(X2,X1)
    | ~ sdtlseqdt0(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t0wpngeu/lgb.p',i_0_12) ).

cnf(i_0_37,negated_conjecture,
    xv != xu,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-t0wpngeu/lgb.p',i_0_37) ).

cnf(c_0_48,plain,
    ( aLowerBoundOfIn0(X1,X2,X3)
    | ~ aSet0(X3)
    | ~ aSubsetOf0(X2,X3)
    | ~ aInfimumOfIn0(X1,X2,X3) ),
    i_0_25 ).

cnf(c_0_49,hypothesis,
    aInfimumOfIn0(xu,xS,xT),
    i_0_36 ).

cnf(c_0_50,hypothesis,
    aSubsetOf0(xS,xT),
    i_0_34 ).

cnf(c_0_51,hypothesis,
    aSet0(xT),
    i_0_33 ).

cnf(c_0_52,plain,
    ( sdtlseqdt0(X1,X2)
    | ~ aSet0(X3)
    | ~ aSubsetOf0(X4,X3)
    | ~ aLowerBoundOfIn0(X1,X4,X3)
    | ~ aInfimumOfIn0(X2,X4,X3) ),
    i_0_24 ).

cnf(c_0_53,hypothesis,
    aLowerBoundOfIn0(xu,xS,xT),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]),c_0_51])]) ).

cnf(c_0_54,plain,
    ( aElementOf0(X1,X2)
    | ~ aSet0(X2)
    | ~ aSubsetOf0(X3,X2)
    | ~ aInfimumOfIn0(X1,X3,X2) ),
    i_0_26 ).

cnf(c_0_55,hypothesis,
    aInfimumOfIn0(xv,xS,xT),
    i_0_35 ).

cnf(c_0_56,plain,
    ( sdtlseqdt0(xu,X1)
    | ~ aInfimumOfIn0(X1,xS,xT) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_50]),c_0_51])]) ).

cnf(c_0_57,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    i_0_3 ).

cnf(c_0_58,hypothesis,
    aElementOf0(xu,xT),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_49]),c_0_50]),c_0_51])]) ).

cnf(c_0_59,hypothesis,
    aElementOf0(xv,xT),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_50]),c_0_51])]) ).

cnf(c_0_60,hypothesis,
    aLowerBoundOfIn0(xv,xS,xT),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_55]),c_0_50]),c_0_51])]) ).

cnf(c_0_61,plain,
    ( X1 = X2
    | ~ aElement0(X2)
    | ~ aElement0(X1)
    | ~ sdtlseqdt0(X2,X1)
    | ~ sdtlseqdt0(X1,X2) ),
    i_0_12 ).

cnf(c_0_62,hypothesis,
    sdtlseqdt0(xu,xv),
    inference(spm,[status(thm)],[c_0_56,c_0_55]) ).

cnf(c_0_63,plain,
    aElement0(xu),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_51])]) ).

cnf(c_0_64,plain,
    aElement0(xv),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_59]),c_0_51])]) ).

cnf(c_0_65,negated_conjecture,
    xv != xu,
    i_0_37 ).

cnf(c_0_66,plain,
    ( sdtlseqdt0(xv,X1)
    | ~ aInfimumOfIn0(X1,xS,xT) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_60]),c_0_50]),c_0_51])]) ).

cnf(c_0_67,plain,
    ~ sdtlseqdt0(xv,xu),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]),c_0_64])]),c_0_65]) ).

cnf(c_0_68,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_49]),c_0_67]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LAT382+1 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Tue Jun 28 18:55:08 EDT 2022
% 0.19/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 8.55/2.54  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.55/2.54  # No SInE strategy applied
% 8.55/2.54  # Trying AutoSched0 for 150 seconds
% 8.55/2.54  # AutoSched0-Mode selected heuristic G_E___200_C45_F1_AE_CS_SP_PI_S0S
% 8.55/2.54  # and selection function SelectComplexG.
% 8.55/2.54  #
% 8.55/2.54  # Preprocessing time       : 0.023 s
% 8.55/2.54  
% 8.55/2.54  # Proof found!
% 8.55/2.54  # SZS status Theorem
% 8.55/2.54  # SZS output start CNFRefutation
% See solution above
% 8.55/2.54  # Training examples: 0 positive, 0 negative
% 8.55/2.54  
% 8.55/2.54  # -------------------------------------------------
% 8.55/2.54  # User time                : 0.024 s
% 8.55/2.54  # System time              : 0.009 s
% 8.55/2.54  # Total time               : 0.034 s
% 8.55/2.54  # Maximum resident set size: 7120 pages
% 8.55/2.54  
%------------------------------------------------------------------------------