TSTP Solution File: SET185+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET185+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n011.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 00:10:15 EDT 2022

% Result   : Theorem 7.91s 2.38s
% Output   : CNFRefutation 7.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   22 (  11 unt;   4 nHn;  16 RR)
%            Number of literals    :   41 (   9 equ;  17 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   31 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_16,negated_conjecture,
    union(esk3_0,esk4_0) != esk4_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j2ty621v/input.p',i_0_16) ).

cnf(i_0_10,plain,
    union(X1,X2) = union(X2,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j2ty621v/input.p',i_0_10) ).

cnf(i_0_13,plain,
    ( X1 = X2
    | ~ member(esk2_2(X1,X2),X2)
    | ~ member(esk2_2(X1,X2),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j2ty621v/input.p',i_0_13) ).

cnf(i_0_2,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j2ty621v/input.p',i_0_2) ).

cnf(i_0_12,plain,
    ( X1 = X2
    | member(esk2_2(X1,X2),X2)
    | member(esk2_2(X1,X2),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j2ty621v/input.p',i_0_12) ).

cnf(i_0_6,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subset(X3,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j2ty621v/input.p',i_0_6) ).

cnf(i_0_17,negated_conjecture,
    subset(esk3_0,esk4_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j2ty621v/input.p',i_0_17) ).

cnf(i_0_3,plain,
    ( member(X1,X2)
    | member(X1,X3)
    | ~ member(X1,union(X3,X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j2ty621v/input.p',i_0_3) ).

cnf(c_0_26,negated_conjecture,
    union(esk3_0,esk4_0) != esk4_0,
    i_0_16 ).

cnf(c_0_27,plain,
    union(X1,X2) = union(X2,X1),
    i_0_10 ).

cnf(c_0_28,negated_conjecture,
    union(esk4_0,esk3_0) != esk4_0,
    inference(rw,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_29,plain,
    ( X1 = X2
    | ~ member(esk2_2(X1,X2),X2)
    | ~ member(esk2_2(X1,X2),X1) ),
    i_0_13 ).

cnf(c_0_30,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X2) ),
    i_0_2 ).

cnf(c_0_31,plain,
    ( X1 = X2
    | member(esk2_2(X1,X2),X2)
    | member(esk2_2(X1,X2),X1) ),
    i_0_12 ).

cnf(c_0_32,negated_conjecture,
    ~ member(esk2_2(esk4_0,union(esk4_0,esk3_0)),esk4_0),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29])]),c_0_30]) ).

cnf(c_0_33,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subset(X3,X2) ),
    i_0_6 ).

cnf(c_0_34,negated_conjecture,
    subset(esk3_0,esk4_0),
    i_0_17 ).

cnf(c_0_35,plain,
    ( member(X1,X2)
    | member(X1,X3)
    | ~ member(X1,union(X3,X2)) ),
    i_0_3 ).

cnf(c_0_36,negated_conjecture,
    member(esk2_2(esk4_0,union(esk4_0,esk3_0)),union(esk4_0,esk3_0)),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_31])]),c_0_32]) ).

cnf(c_0_37,negated_conjecture,
    ( member(X1,esk4_0)
    | ~ member(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_38,plain,
    member(esk2_2(esk4_0,union(esk4_0,esk3_0)),esk3_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_32]) ).

cnf(c_0_39,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_32]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET185+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n011.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 : Sun Jul 10 10:37:13 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 7.91/2.38  # ENIGMATIC: Solved by autoschedule:
% 7.91/2.38  # No SInE strategy applied
% 7.91/2.38  # Trying AutoSched0 for 150 seconds
% 7.91/2.38  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S04CA
% 7.91/2.38  # and selection function MSelectComplexExceptUniqMaxHorn.
% 7.91/2.38  #
% 7.91/2.38  # Preprocessing time       : 0.012 s
% 7.91/2.38  # Presaturation interreduction done
% 7.91/2.38  
% 7.91/2.38  # Proof found!
% 7.91/2.38  # SZS status Theorem
% 7.91/2.38  # SZS output start CNFRefutation
% See solution above
% 7.91/2.38  # Training examples: 0 positive, 0 negative
% 7.91/2.38  
% 7.91/2.38  # -------------------------------------------------
% 7.91/2.38  # User time                : 0.016 s
% 7.91/2.38  # System time              : 0.006 s
% 7.91/2.38  # Total time               : 0.022 s
% 7.91/2.38  # Maximum resident set size: 7120 pages
% 7.91/2.38  
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