TSTP Solution File: SEU126+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU126+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : Tue Jul 19 08:38:38 EDT 2022

% Result   : Theorem 7.76s 2.39s
% Output   : CNFRefutation 7.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   16 (   9 unt;   2 nHn;  12 RR)
%            Number of literals    :   31 (   9 equ;  12 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-3 aty)
%            Number of variables   :   23 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_24,negated_conjecture,
    set_union2(esk5_0,esk6_0) != esk6_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_royh8ty/input.p',i_0_24) ).

cnf(i_0_2,plain,
    set_union2(X1,X2) = set_union2(X2,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_royh8ty/input.p',i_0_2) ).

cnf(i_0_14,plain,
    ( in(X1,X2)
    | ~ in(X1,X3)
    | ~ subset(X3,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_royh8ty/input.p',i_0_14) ).

cnf(i_0_25,negated_conjecture,
    subset(esk5_0,esk6_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_royh8ty/input.p',i_0_25) ).

cnf(i_0_6,plain,
    ( X1 = set_union2(X2,X3)
    | in(esk1_3(X2,X3,X1),X1)
    | in(esk1_3(X2,X3,X1),X3)
    | in(esk1_3(X2,X3,X1),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_royh8ty/input.p',i_0_6) ).

cnf(i_0_8,plain,
    ( X1 = set_union2(X2,X3)
    | ~ in(esk1_3(X2,X3,X1),X1)
    | ~ in(esk1_3(X2,X3,X1),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_royh8ty/input.p',i_0_8) ).

cnf(c_0_32,negated_conjecture,
    set_union2(esk5_0,esk6_0) != esk6_0,
    i_0_24 ).

cnf(c_0_33,plain,
    set_union2(X1,X2) = set_union2(X2,X1),
    i_0_2 ).

cnf(c_0_34,plain,
    ( in(X1,X2)
    | ~ in(X1,X3)
    | ~ subset(X3,X2) ),
    i_0_14 ).

cnf(c_0_35,negated_conjecture,
    subset(esk5_0,esk6_0),
    i_0_25 ).

cnf(c_0_36,negated_conjecture,
    set_union2(esk6_0,esk5_0) != esk6_0,
    inference(rw,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_37,plain,
    ( X1 = set_union2(X2,X3)
    | in(esk1_3(X2,X3,X1),X1)
    | in(esk1_3(X2,X3,X1),X3)
    | in(esk1_3(X2,X3,X1),X2) ),
    i_0_6 ).

cnf(c_0_38,negated_conjecture,
    ( in(X1,esk6_0)
    | ~ in(X1,esk5_0) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_39,plain,
    ( X1 = set_union2(X2,X3)
    | ~ in(esk1_3(X2,X3,X1),X1)
    | ~ in(esk1_3(X2,X3,X1),X2) ),
    i_0_8 ).

cnf(c_0_40,negated_conjecture,
    in(esk1_3(esk6_0,esk5_0,esk6_0),esk6_0),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37])]),c_0_38]) ).

cnf(c_0_41,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_40])]),c_0_36]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SEU126+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.32  % Computer : n029.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Sun Jun 19 23:07:01 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.43  # ENIGMATIC: Selected complete mode:
% 7.76/2.39  # ENIGMATIC: Solved by autoschedule:
% 7.76/2.39  # No SInE strategy applied
% 7.76/2.39  # Trying AutoSched0 for 150 seconds
% 7.76/2.39  # AutoSched0-Mode selected heuristic G_E___107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y
% 7.76/2.39  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.76/2.39  #
% 7.76/2.39  # Preprocessing time       : 0.013 s
% 7.76/2.39  # Presaturation interreduction done
% 7.76/2.39  
% 7.76/2.39  # Proof found!
% 7.76/2.39  # SZS status Theorem
% 7.76/2.39  # SZS output start CNFRefutation
% See solution above
% 7.76/2.39  # Training examples: 0 positive, 0 negative
% 7.76/2.39  
% 7.76/2.39  # -------------------------------------------------
% 7.76/2.39  # User time                : 0.017 s
% 7.76/2.39  # System time              : 0.004 s
% 7.76/2.39  # Total time               : 0.021 s
% 7.76/2.39  # Maximum resident set size: 7120 pages
% 7.76/2.39  
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