TSTP Solution File: SEU164+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU164+3 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n027.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 08:39:04 EDT 2022

% Result   : Theorem 8.32s 2.36s
% Output   : CNFRefutation 8.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   27 (   6 unt;  10 nHn;  17 RR)
%            Number of literals    :   65 (  20 equ;  26 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-2 aty)
%            Number of variables   :   49 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_15,plain,
    ( X1 = union(X2)
    | ~ in(X3,X2)
    | ~ in(esk5_2(X2,X1),X3)
    | ~ in(esk5_2(X2,X1),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gm9ydm8k/input.p',i_0_15) ).

cnf(i_0_13,plain,
    ( X1 = union(X2)
    | in(esk5_2(X2,X1),X1)
    | in(esk6_2(X2,X1),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gm9ydm8k/input.p',i_0_13) ).

cnf(i_0_8,plain,
    ( in(X1,X2)
    | X2 != powerset(X3)
    | ~ subset(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gm9ydm8k/input.p',i_0_8) ).

cnf(i_0_9,plain,
    ( subset(X1,X2)
    | X3 != powerset(X2)
    | ~ in(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gm9ydm8k/input.p',i_0_9) ).

cnf(i_0_23,plain,
    subset(X1,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gm9ydm8k/input.p',i_0_23) ).

cnf(i_0_12,plain,
    ( in(X1,X2)
    | ~ in(X1,X3)
    | ~ subset(X3,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gm9ydm8k/input.p',i_0_12) ).

cnf(i_0_14,plain,
    ( X1 = union(X2)
    | in(esk5_2(X2,X1),X1)
    | in(esk5_2(X2,X1),esk6_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gm9ydm8k/input.p',i_0_14) ).

cnf(i_0_26,negated_conjecture,
    union(powerset(esk10_0)) != esk10_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gm9ydm8k/input.p',i_0_26) ).

cnf(c_0_35,plain,
    ( X1 = union(X2)
    | ~ in(X3,X2)
    | ~ in(esk5_2(X2,X1),X3)
    | ~ in(esk5_2(X2,X1),X1) ),
    i_0_15 ).

cnf(c_0_36,plain,
    ( X1 = union(X2)
    | in(esk5_2(X2,X1),X1)
    | in(esk6_2(X2,X1),X2) ),
    i_0_13 ).

cnf(c_0_37,plain,
    ( in(X1,X2)
    | X2 != powerset(X3)
    | ~ subset(X1,X3) ),
    i_0_8 ).

cnf(c_0_38,plain,
    ( X1 = union(X2)
    | in(esk6_2(X2,X1),X2)
    | ~ in(X1,X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_36]) ).

cnf(c_0_39,plain,
    ( in(X1,powerset(X2))
    | ~ subset(X1,X2) ),
    inference(er,[status(thm)],[c_0_37]) ).

cnf(c_0_40,plain,
    ( subset(X1,X2)
    | X3 != powerset(X2)
    | ~ in(X1,X3) ),
    i_0_9 ).

cnf(c_0_41,plain,
    ( X1 = union(powerset(X2))
    | in(esk6_2(powerset(X2),X1),powerset(X2))
    | ~ subset(X1,X2) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_42,plain,
    subset(X1,X1),
    i_0_23 ).

cnf(c_0_43,plain,
    ( subset(X1,X2)
    | ~ in(X1,powerset(X2)) ),
    inference(er,[status(thm)],[c_0_40]) ).

cnf(c_0_44,plain,
    ( union(powerset(X1)) = X1
    | in(esk6_2(powerset(X1),X1),powerset(X1)) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_45,plain,
    ( in(X1,X2)
    | ~ in(X1,X3)
    | ~ subset(X3,X2) ),
    i_0_12 ).

cnf(c_0_46,plain,
    ( union(powerset(X1)) = X1
    | subset(esk6_2(powerset(X1),X1),X1) ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_47,plain,
    ( union(powerset(X1)) = X1
    | in(X2,X1)
    | ~ in(X2,esk6_2(powerset(X1),X1)) ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_48,plain,
    ( X1 = union(X2)
    | in(esk5_2(X2,X1),X1)
    | in(esk5_2(X2,X1),esk6_2(X2,X1)) ),
    i_0_14 ).

cnf(c_0_49,plain,
    ( union(powerset(X1)) = X1
    | in(esk5_2(powerset(X1),X1),X1) ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_50,plain,
    ( union(powerset(X1)) = X1
    | ~ in(X1,powerset(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_49]),c_0_49]) ).

cnf(c_0_51,negated_conjecture,
    union(powerset(esk10_0)) != esk10_0,
    i_0_26 ).

cnf(c_0_52,plain,
    union(powerset(X1)) = X1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_39]),c_0_42])]) ).

cnf(c_0_53,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_52])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SEU164+3 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.33  % Computer : n027.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 : Sun Jun 19 03:30:40 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 8.32/2.36  # ENIGMATIC: Solved by autoschedule:
% 8.32/2.36  # No SInE strategy applied
% 8.32/2.36  # Trying AutoSched0 for 150 seconds
% 8.32/2.36  # AutoSched0-Mode selected heuristic G_E___107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U
% 8.32/2.36  # and selection function SelectNewComplexAHPExceptRRHorn.
% 8.32/2.36  #
% 8.32/2.36  # Preprocessing time       : 0.024 s
% 8.32/2.36  # Presaturation interreduction done
% 8.32/2.36  
% 8.32/2.36  # Proof found!
% 8.32/2.36  # SZS status Theorem
% 8.32/2.36  # SZS output start CNFRefutation
% See solution above
% 8.32/2.36  # Training examples: 0 positive, 0 negative
% 8.32/2.36  
% 8.32/2.36  # -------------------------------------------------
% 8.32/2.36  # User time                : 0.180 s
% 8.32/2.36  # System time              : 0.012 s
% 8.32/2.36  # Total time               : 0.191 s
% 8.32/2.36  # Maximum resident set size: 7120 pages
% 8.32/2.36  
%------------------------------------------------------------------------------