TSTP Solution File: SEU110+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU110+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n013.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 : Tue Jul 19 08:38:30 EDT 2022

% Result   : Theorem 8.59s 2.53s
% Output   : CNFRefutation 8.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   27 (   7 unt;   6 nHn;  19 RR)
%            Number of literals    :   64 (   6 equ;  33 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   47 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_16,plain,
    ( subset(X1,X2)
    | X3 != finite_subsets(X2)
    | ~ preboolean(X3)
    | ~ in(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mainhlyf/lgb.p',i_0_16) ).

cnf(i_0_25,plain,
    preboolean(finite_subsets(X1)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mainhlyf/lgb.p',i_0_25) ).

cnf(i_0_60,plain,
    ( subset(X1,X2)
    | ~ subset(X3,X2)
    | ~ subset(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mainhlyf/lgb.p',i_0_60) ).

cnf(i_0_62,negated_conjecture,
    subset(esk13_0,esk14_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mainhlyf/lgb.p',i_0_62) ).

cnf(i_0_9,plain,
    ( subset(X1,X2)
    | in(esk1_2(X1,X2),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mainhlyf/lgb.p',i_0_9) ).

cnf(i_0_15,plain,
    ( finite(X1)
    | X2 != finite_subsets(X3)
    | ~ preboolean(X2)
    | ~ in(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mainhlyf/lgb.p',i_0_15) ).

cnf(i_0_14,plain,
    ( in(X1,X2)
    | X2 != finite_subsets(X3)
    | ~ finite(X1)
    | ~ preboolean(X2)
    | ~ subset(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mainhlyf/lgb.p',i_0_14) ).

cnf(i_0_8,plain,
    ( subset(X1,X2)
    | ~ in(esk1_2(X1,X2),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mainhlyf/lgb.p',i_0_8) ).

cnf(i_0_61,negated_conjecture,
    ~ subset(finite_subsets(esk13_0),finite_subsets(esk14_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mainhlyf/lgb.p',i_0_61) ).

cnf(c_0_72,plain,
    ( subset(X1,X2)
    | X3 != finite_subsets(X2)
    | ~ preboolean(X3)
    | ~ in(X1,X3) ),
    i_0_16 ).

cnf(c_0_73,plain,
    preboolean(finite_subsets(X1)),
    i_0_25 ).

cnf(c_0_74,plain,
    ( subset(X1,X2)
    | ~ subset(X3,X2)
    | ~ subset(X1,X3) ),
    i_0_60 ).

cnf(c_0_75,negated_conjecture,
    subset(esk13_0,esk14_0),
    i_0_62 ).

cnf(c_0_76,plain,
    ( subset(X1,X2)
    | ~ in(X1,finite_subsets(X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_72]),c_0_73])]) ).

cnf(c_0_77,plain,
    ( subset(X1,X2)
    | in(esk1_2(X1,X2),X1) ),
    i_0_9 ).

cnf(c_0_78,plain,
    ( finite(X1)
    | X2 != finite_subsets(X3)
    | ~ preboolean(X2)
    | ~ in(X1,X2) ),
    i_0_15 ).

cnf(c_0_79,plain,
    ( in(X1,X2)
    | X2 != finite_subsets(X3)
    | ~ finite(X1)
    | ~ preboolean(X2)
    | ~ subset(X1,X3) ),
    i_0_14 ).

cnf(c_0_80,negated_conjecture,
    ( subset(X1,esk14_0)
    | ~ subset(X1,esk13_0) ),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_81,plain,
    ( subset(esk1_2(finite_subsets(X1),X2),X1)
    | subset(finite_subsets(X1),X2) ),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_82,plain,
    ( finite(X1)
    | ~ in(X1,finite_subsets(X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_78]),c_0_73])]) ).

cnf(c_0_83,plain,
    ( in(X1,finite_subsets(X2))
    | ~ finite(X1)
    | ~ subset(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_79]),c_0_73])]) ).

cnf(c_0_84,negated_conjecture,
    ( subset(esk1_2(finite_subsets(esk13_0),X1),esk14_0)
    | subset(finite_subsets(esk13_0),X1) ),
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_85,plain,
    ( finite(esk1_2(finite_subsets(X1),X2))
    | subset(finite_subsets(X1),X2) ),
    inference(spm,[status(thm)],[c_0_82,c_0_77]) ).

cnf(c_0_86,plain,
    ( subset(X1,X2)
    | ~ in(esk1_2(X1,X2),X2) ),
    i_0_8 ).

cnf(c_0_87,plain,
    ( in(esk1_2(finite_subsets(esk13_0),X1),finite_subsets(esk14_0))
    | subset(finite_subsets(esk13_0),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85]) ).

cnf(c_0_88,negated_conjecture,
    ~ subset(finite_subsets(esk13_0),finite_subsets(esk14_0)),
    i_0_61 ).

cnf(c_0_89,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SEU110+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.35  % Computer : n013.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sun Jun 19 20:37:46 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.20/0.46  # ENIGMATIC: Selected complete mode:
% 8.59/2.53  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.59/2.53  # No SInE strategy applied
% 8.59/2.53  # Trying AutoSched0 for 150 seconds
% 8.59/2.53  # AutoSched0-Mode selected heuristic G_E___208_B00_00_F1_SE_CS_SP_PS_S071I
% 8.59/2.53  # and selection function SelectCQArEqLast.
% 8.59/2.53  #
% 8.59/2.53  # Preprocessing time       : 0.013 s
% 8.59/2.53  # Presaturation interreduction done
% 8.59/2.53  
% 8.59/2.53  # Proof found!
% 8.59/2.53  # SZS status Theorem
% 8.59/2.53  # SZS output start CNFRefutation
% See solution above
% 8.59/2.53  # Training examples: 0 positive, 0 negative
% 8.59/2.53  
% 8.59/2.53  # -------------------------------------------------
% 8.59/2.53  # User time                : 0.049 s
% 8.59/2.53  # System time              : 0.009 s
% 8.59/2.53  # Total time               : 0.058 s
% 8.59/2.53  # Maximum resident set size: 7128 pages
% 8.59/2.53  
%------------------------------------------------------------------------------