TSTP Solution File: SEU177+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU177+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n017.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 08:39:13 EDT 2022

% Result   : Theorem 4.40s 2.20s
% Output   : CNFRefutation 4.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   15 (   7 unt;   0 nHn;  15 RR)
%            Number of literals    :   33 (   4 equ;  21 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    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   22 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_30,plain,
    ( in(X1,X2)
    | X2 != relation_dom(X3)
    | ~ relation(X3)
    | ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nuqnhgxl/lgb.p',i_0_30) ).

cnf(i_0_26,negated_conjecture,
    in(unordered_pair(unordered_pair(esk5_0,esk6_0),singleton(esk5_0)),esk7_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nuqnhgxl/lgb.p',i_0_26) ).

cnf(i_0_27,negated_conjecture,
    relation(esk7_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nuqnhgxl/lgb.p',i_0_27) ).

cnf(i_0_34,plain,
    ( in(X1,X2)
    | X2 != relation_rng(X3)
    | ~ relation(X3)
    | ~ in(unordered_pair(unordered_pair(X4,X1),singleton(X4)),X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nuqnhgxl/lgb.p',i_0_34) ).

cnf(i_0_25,negated_conjecture,
    ( ~ in(esk5_0,relation_dom(esk7_0))
    | ~ in(esk6_0,relation_rng(esk7_0)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nuqnhgxl/lgb.p',i_0_25) ).

cnf(c_0_40,plain,
    ( in(X1,X2)
    | X2 != relation_dom(X3)
    | ~ relation(X3)
    | ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),X3) ),
    i_0_30 ).

cnf(c_0_41,plain,
    ( in(X1,relation_dom(X2))
    | ~ relation(X2)
    | ~ in(unordered_pair(unordered_pair(X1,X3),singleton(X1)),X2) ),
    inference(er,[status(thm)],[c_0_40]) ).

cnf(c_0_42,negated_conjecture,
    in(unordered_pair(unordered_pair(esk5_0,esk6_0),singleton(esk5_0)),esk7_0),
    i_0_26 ).

cnf(c_0_43,negated_conjecture,
    relation(esk7_0),
    i_0_27 ).

cnf(c_0_44,plain,
    ( in(X1,X2)
    | X2 != relation_rng(X3)
    | ~ relation(X3)
    | ~ in(unordered_pair(unordered_pair(X4,X1),singleton(X4)),X3) ),
    i_0_34 ).

cnf(c_0_45,negated_conjecture,
    ( ~ in(esk5_0,relation_dom(esk7_0))
    | ~ in(esk6_0,relation_rng(esk7_0)) ),
    i_0_25 ).

cnf(c_0_46,negated_conjecture,
    in(esk5_0,relation_dom(esk7_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43])]) ).

cnf(c_0_47,plain,
    ( in(X1,relation_rng(X2))
    | ~ relation(X2)
    | ~ in(unordered_pair(unordered_pair(X3,X1),singleton(X3)),X2) ),
    inference(er,[status(thm)],[c_0_44]) ).

cnf(c_0_48,negated_conjecture,
    ~ in(esk6_0,relation_rng(esk7_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_46])]) ).

cnf(c_0_49,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_42]),c_0_43])]),c_0_48]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SEU177+1 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.32  % Computer : n017.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % 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 06:29:30 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.43  # ENIGMATIC: Selected complete mode:
% 4.40/2.20  # ENIGMATIC: Solved by autoschedule-lgb:
% 4.40/2.20  # No SInE strategy applied
% 4.40/2.20  # Trying AutoSched0 for 150 seconds
% 4.40/2.20  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 4.40/2.20  # and selection function SelectComplexExceptUniqMaxHorn.
% 4.40/2.20  #
% 4.40/2.20  # Preprocessing time       : 0.012 s
% 4.40/2.20  # Presaturation interreduction done
% 4.40/2.20  
% 4.40/2.20  # Proof found!
% 4.40/2.20  # SZS status Theorem
% 4.40/2.20  # SZS output start CNFRefutation
% See solution above
% 4.40/2.20  # Training examples: 0 positive, 0 negative
% 4.40/2.20  
% 4.40/2.20  # -------------------------------------------------
% 4.40/2.20  # User time                : 0.013 s
% 4.40/2.20  # System time              : 0.004 s
% 4.40/2.20  # Total time               : 0.017 s
% 4.40/2.20  # Maximum resident set size: 7128 pages
% 4.40/2.20  
%------------------------------------------------------------------------------