TSTP Solution File: SEU204+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU204+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n018.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 08:39:30 EDT 2022

% Result   : Theorem 7.50s 2.35s
% Output   : CNFRefutation 7.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   22 (   8 unt;   4 nHn;  15 RR)
%            Number of literals    :   49 (   6 equ;  25 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   2 con; 0-4 aty)
%            Number of variables   :   46 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_15,plain,
    ( in(X1,X2)
    | X2 != relation_rng(X3)
    | ~ relation(X3)
    | ~ in(unordered_pair(unordered_pair(X4,X1),singleton(X4)),X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0ekcuehd/lgb.p',i_0_15) ).

cnf(i_0_3,plain,
    unordered_pair(X1,X2) = unordered_pair(X2,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0ekcuehd/lgb.p',i_0_3) ).

cnf(i_0_9,plain,
    ( in(unordered_pair(unordered_pair(esk1_4(X1,X2,X3,X4),X4),singleton(esk1_4(X1,X2,X3,X4))),X1)
    | X3 != relation_image(X1,X2)
    | ~ relation(X1)
    | ~ in(X4,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0ekcuehd/lgb.p',i_0_9) ).

cnf(i_0_11,plain,
    ( subset(X1,X2)
    | in(esk4_2(X1,X2),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0ekcuehd/lgb.p',i_0_11) ).

cnf(i_0_49,negated_conjecture,
    relation(esk16_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0ekcuehd/lgb.p',i_0_49) ).

cnf(i_0_10,plain,
    ( subset(X1,X2)
    | ~ in(esk4_2(X1,X2),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0ekcuehd/lgb.p',i_0_10) ).

cnf(i_0_48,negated_conjecture,
    ~ subset(relation_image(esk16_0,esk15_0),relation_rng(esk16_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0ekcuehd/lgb.p',i_0_48) ).

cnf(c_0_57,plain,
    ( in(X1,X2)
    | X2 != relation_rng(X3)
    | ~ relation(X3)
    | ~ in(unordered_pair(unordered_pair(X4,X1),singleton(X4)),X3) ),
    i_0_15 ).

cnf(c_0_58,plain,
    ( in(X1,relation_rng(X2))
    | ~ relation(X2)
    | ~ in(unordered_pair(unordered_pair(X3,X1),singleton(X3)),X2) ),
    inference(er,[status(thm)],[c_0_57]) ).

cnf(c_0_59,plain,
    unordered_pair(X1,X2) = unordered_pair(X2,X1),
    i_0_3 ).

cnf(c_0_60,plain,
    ( in(unordered_pair(unordered_pair(esk1_4(X1,X2,X3,X4),X4),singleton(esk1_4(X1,X2,X3,X4))),X1)
    | X3 != relation_image(X1,X2)
    | ~ relation(X1)
    | ~ in(X4,X3) ),
    i_0_9 ).

cnf(c_0_61,plain,
    ( in(X1,relation_rng(X2))
    | ~ relation(X2)
    | ~ in(unordered_pair(unordered_pair(X1,X3),singleton(X3)),X2) ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_62,plain,
    ( in(unordered_pair(unordered_pair(X1,esk1_4(X2,X3,relation_image(X2,X3),X1)),singleton(esk1_4(X2,X3,relation_image(X2,X3),X1))),X2)
    | ~ relation(X2)
    | ~ in(X1,relation_image(X2,X3)) ),
    inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_59])]) ).

cnf(c_0_63,plain,
    ( in(X1,relation_rng(X2))
    | ~ relation(X2)
    | ~ in(X1,relation_image(X2,X3)) ),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_64,plain,
    ( subset(X1,X2)
    | in(esk4_2(X1,X2),X1) ),
    i_0_11 ).

cnf(c_0_65,plain,
    ( in(esk4_2(relation_image(X1,X2),X3),relation_rng(X1))
    | subset(relation_image(X1,X2),X3)
    | ~ relation(X1) ),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_66,negated_conjecture,
    relation(esk16_0),
    i_0_49 ).

cnf(c_0_67,plain,
    ( subset(X1,X2)
    | ~ in(esk4_2(X1,X2),X2) ),
    i_0_10 ).

cnf(c_0_68,negated_conjecture,
    ( in(esk4_2(relation_image(esk16_0,X1),X2),relation_rng(esk16_0))
    | subset(relation_image(esk16_0,X1),X2) ),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_69,negated_conjecture,
    ~ subset(relation_image(esk16_0,esk15_0),relation_rng(esk16_0)),
    i_0_48 ).

cnf(c_0_70,plain,
    subset(relation_image(esk16_0,X1),relation_rng(esk16_0)),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_71,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_70])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU204+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n018.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jun 19 01:59:35 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 7.50/2.35  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.50/2.35  # No SInE strategy applied
% 7.50/2.35  # Trying AutoSched0 for 150 seconds
% 7.50/2.35  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 7.50/2.35  # and selection function SelectComplexExceptUniqMaxHorn.
% 7.50/2.35  #
% 7.50/2.35  # Preprocessing time       : 0.024 s
% 7.50/2.35  # Presaturation interreduction done
% 7.50/2.35  
% 7.50/2.35  # Proof found!
% 7.50/2.35  # SZS status Theorem
% 7.50/2.35  # SZS output start CNFRefutation
% See solution above
% 7.50/2.35  # Training examples: 0 positive, 0 negative
% 7.50/2.35  
% 7.50/2.35  # -------------------------------------------------
% 7.50/2.35  # User time                : 0.025 s
% 7.50/2.35  # System time              : 0.008 s
% 7.50/2.35  # Total time               : 0.033 s
% 7.50/2.35  # Maximum resident set size: 7124 pages
% 7.50/2.35  
%------------------------------------------------------------------------------