TSTP Solution File: LAT382+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT382+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n029.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 04:30:45 EDT 2022

% Result   : Theorem 7.70s 2.27s
% Output   : CNFRefutation 7.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   25 (  17 unt;   0 nHn;  25 RR)
%            Number of literals    :   41 (   4 equ;  18 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   12 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_46,hypothesis,
    ( sdtlseqdt0(X1,xu)
    | ~ aLowerBoundOfIn0(X1,xS,xT) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mngoz7j3/input.p',i_0_46) ).

cnf(i_0_41,hypothesis,
    aLowerBoundOfIn0(xv,xS,xT),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mngoz7j3/input.p',i_0_41) ).

cnf(i_0_3,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mngoz7j3/input.p',i_0_3) ).

cnf(i_0_43,hypothesis,
    aElementOf0(xv,xT),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mngoz7j3/input.p',i_0_43) ).

cnf(i_0_33,hypothesis,
    aSet0(xT),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mngoz7j3/input.p',i_0_33) ).

cnf(i_0_51,hypothesis,
    aElementOf0(xu,xT),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mngoz7j3/input.p',i_0_51) ).

cnf(i_0_38,hypothesis,
    ( sdtlseqdt0(X1,xv)
    | ~ aLowerBoundOfIn0(X1,xS,xT) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mngoz7j3/input.p',i_0_38) ).

cnf(i_0_49,hypothesis,
    aLowerBoundOfIn0(xu,xS,xT),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mngoz7j3/input.p',i_0_49) ).

cnf(i_0_12,plain,
    ( X1 = X2
    | ~ aElement0(X2)
    | ~ aElement0(X1)
    | ~ sdtlseqdt0(X2,X1)
    | ~ sdtlseqdt0(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mngoz7j3/input.p',i_0_12) ).

cnf(i_0_52,negated_conjecture,
    xv != xu,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mngoz7j3/input.p',i_0_52) ).

cnf(c_0_63,hypothesis,
    ( sdtlseqdt0(X1,xu)
    | ~ aLowerBoundOfIn0(X1,xS,xT) ),
    i_0_46 ).

cnf(c_0_64,hypothesis,
    aLowerBoundOfIn0(xv,xS,xT),
    i_0_41 ).

cnf(c_0_65,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    i_0_3 ).

cnf(c_0_66,hypothesis,
    aElementOf0(xv,xT),
    i_0_43 ).

cnf(c_0_67,hypothesis,
    aSet0(xT),
    i_0_33 ).

cnf(c_0_68,hypothesis,
    aElementOf0(xu,xT),
    i_0_51 ).

cnf(c_0_69,hypothesis,
    ( sdtlseqdt0(X1,xv)
    | ~ aLowerBoundOfIn0(X1,xS,xT) ),
    i_0_38 ).

cnf(c_0_70,hypothesis,
    aLowerBoundOfIn0(xu,xS,xT),
    i_0_49 ).

cnf(c_0_71,plain,
    ( X1 = X2
    | ~ aElement0(X2)
    | ~ aElement0(X1)
    | ~ sdtlseqdt0(X2,X1)
    | ~ sdtlseqdt0(X1,X2) ),
    i_0_12 ).

cnf(c_0_72,hypothesis,
    sdtlseqdt0(xv,xu),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_73,hypothesis,
    aElement0(xv),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67])]) ).

cnf(c_0_74,hypothesis,
    aElement0(xu),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_68]),c_0_67])]) ).

cnf(c_0_75,hypothesis,
    sdtlseqdt0(xu,xv),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_76,negated_conjecture,
    xv != xu,
    i_0_52 ).

cnf(c_0_77,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]),c_0_74]),c_0_75])]),c_0_76]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : LAT382+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.33  % Computer : n029.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Wed Jun 29 12:19:54 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 7.70/2.27  # ENIGMATIC: Solved by autoschedule:
% 7.70/2.27  # No SInE strategy applied
% 7.70/2.27  # Trying AutoSched0 for 150 seconds
% 7.70/2.27  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 7.70/2.27  # and selection function SelectCQArNTNpEqFirst.
% 7.70/2.27  #
% 7.70/2.27  # Preprocessing time       : 0.019 s
% 7.70/2.27  # Presaturation interreduction done
% 7.70/2.27  
% 7.70/2.27  # Proof found!
% 7.70/2.27  # SZS status Theorem
% 7.70/2.27  # SZS output start CNFRefutation
% See solution above
% 7.70/2.27  # Training examples: 0 positive, 0 negative
% 7.70/2.27  
% 7.70/2.27  # -------------------------------------------------
% 7.70/2.27  # User time                : 0.019 s
% 7.70/2.27  # System time              : 0.008 s
% 7.70/2.27  # Total time               : 0.028 s
% 7.70/2.27  # Maximum resident set size: 7124 pages
% 7.70/2.27  
%------------------------------------------------------------------------------