TSTP Solution File: SET997+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET997+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n028.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 00:15:46 EDT 2022

% Result   : Theorem 7.26s 2.35s
% Output   : CNFRefutation 7.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   20 (   7 unt;   2 nHn;  18 RR)
%            Number of literals    :   43 (   6 equ;  23 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :   24 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_10,plain,
    ( in(X1,X2)
    | X2 != relation_rng(X3)
    | X1 != apply(X3,X4)
    | ~ function(X3)
    | ~ relation(X3)
    | ~ in(X4,relation_dom(X3)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bsbogjvs/lgb.p',i_0_10) ).

cnf(i_0_43,negated_conjecture,
    ( apply(esk15_0,esk16_1(X1)) = X1
    | ~ in(X1,esk14_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bsbogjvs/lgb.p',i_0_43) ).

cnf(i_0_46,negated_conjecture,
    relation(esk15_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bsbogjvs/lgb.p',i_0_46) ).

cnf(i_0_45,negated_conjecture,
    function(esk15_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bsbogjvs/lgb.p',i_0_45) ).

cnf(i_0_44,negated_conjecture,
    ( in(esk16_1(X1),relation_dom(esk15_0))
    | ~ in(X1,esk14_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bsbogjvs/lgb.p',i_0_44) ).

cnf(i_0_4,plain,
    ( subset(X1,X2)
    | ~ in(esk1_2(X1,X2),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bsbogjvs/lgb.p',i_0_4) ).

cnf(i_0_5,plain,
    ( subset(X1,X2)
    | in(esk1_2(X1,X2),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bsbogjvs/lgb.p',i_0_5) ).

cnf(i_0_42,negated_conjecture,
    ~ subset(esk14_0,relation_rng(esk15_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bsbogjvs/lgb.p',i_0_42) ).

cnf(c_0_55,plain,
    ( in(X1,X2)
    | X2 != relation_rng(X3)
    | X1 != apply(X3,X4)
    | ~ function(X3)
    | ~ relation(X3)
    | ~ in(X4,relation_dom(X3)) ),
    i_0_10 ).

cnf(c_0_56,plain,
    ( in(apply(X1,X2),relation_rng(X1))
    | ~ relation(X1)
    | ~ function(X1)
    | ~ in(X2,relation_dom(X1)) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_55])]) ).

cnf(c_0_57,negated_conjecture,
    ( apply(esk15_0,esk16_1(X1)) = X1
    | ~ in(X1,esk14_0) ),
    i_0_43 ).

cnf(c_0_58,negated_conjecture,
    relation(esk15_0),
    i_0_46 ).

cnf(c_0_59,negated_conjecture,
    function(esk15_0),
    i_0_45 ).

cnf(c_0_60,negated_conjecture,
    ( in(esk16_1(X1),relation_dom(esk15_0))
    | ~ in(X1,esk14_0) ),
    i_0_44 ).

cnf(c_0_61,plain,
    ( subset(X1,X2)
    | ~ in(esk1_2(X1,X2),X2) ),
    i_0_4 ).

cnf(c_0_62,negated_conjecture,
    ( in(X1,relation_rng(esk15_0))
    | ~ in(X1,esk14_0) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]),c_0_59])]),c_0_60]) ).

cnf(c_0_63,plain,
    ( subset(X1,relation_rng(esk15_0))
    | ~ in(esk1_2(X1,relation_rng(esk15_0)),esk14_0) ),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_64,plain,
    ( subset(X1,X2)
    | in(esk1_2(X1,X2),X1) ),
    i_0_5 ).

cnf(c_0_65,negated_conjecture,
    ~ subset(esk14_0,relation_rng(esk15_0)),
    i_0_42 ).

cnf(c_0_66,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET997+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n028.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sat Jul  9 19:16:58 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.20/0.46  # ENIGMATIC: Selected complete mode:
% 7.26/2.35  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.26/2.35  # No SInE strategy applied
% 7.26/2.35  # Trying AutoSched0 for 150 seconds
% 7.26/2.35  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 7.26/2.35  # and selection function SelectComplexExceptUniqMaxHorn.
% 7.26/2.35  #
% 7.26/2.35  # Preprocessing time       : 0.024 s
% 7.26/2.35  # Presaturation interreduction done
% 7.26/2.35  
% 7.26/2.35  # Proof found!
% 7.26/2.35  # SZS status Theorem
% 7.26/2.35  # SZS output start CNFRefutation
% See solution above
% 7.26/2.36  # Training examples: 0 positive, 0 negative
% 7.26/2.36  
% 7.26/2.36  # -------------------------------------------------
% 7.26/2.36  # User time                : 0.024 s
% 7.26/2.36  # System time              : 0.009 s
% 7.26/2.36  # Total time               : 0.033 s
% 7.26/2.36  # Maximum resident set size: 7128 pages
% 7.26/2.36  
%------------------------------------------------------------------------------