TSTP Solution File: SEU044+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU044+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n006.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 08:38:10 EDT 2022

% Result   : Theorem 8.72s 2.47s
% Output   : CNFRefutation 8.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   29 (   8 unt;   4 nHn;  25 RR)
%            Number of literals    :   93 (   6 equ;  64 neg)
%            Maximal clause size   :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   42 (   7 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_65,plain,
    ( in(X1,relation_dom(X2))
    | X3 != relation_rng_restriction(X4,X2)
    | ~ relation(X3)
    | ~ relation(X2)
    | ~ function(X3)
    | ~ function(X2)
    | ~ in(X1,relation_dom(X3)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vk1i3bsq/lgb.p',i_0_65) ).

cnf(i_0_26,plain,
    ( relation(relation_rng_restriction(X1,X2))
    | ~ relation(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vk1i3bsq/lgb.p',i_0_26) ).

cnf(i_0_27,plain,
    ( function(relation_rng_restriction(X1,X2))
    | ~ relation(X2)
    | ~ function(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vk1i3bsq/lgb.p',i_0_27) ).

cnf(i_0_52,negated_conjecture,
    ( in(esk13_0,relation_dom(esk14_0))
    | in(esk13_0,relation_dom(relation_rng_restriction(esk12_0,esk14_0))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vk1i3bsq/lgb.p',i_0_52) ).

cnf(i_0_54,negated_conjecture,
    function(esk14_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vk1i3bsq/lgb.p',i_0_54) ).

cnf(i_0_55,negated_conjecture,
    relation(esk14_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vk1i3bsq/lgb.p',i_0_55) ).

cnf(i_0_64,plain,
    ( in(apply(X1,X2),X3)
    | X4 != relation_rng_restriction(X3,X1)
    | ~ relation(X4)
    | ~ relation(X1)
    | ~ function(X4)
    | ~ function(X1)
    | ~ in(X2,relation_dom(X4)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vk1i3bsq/lgb.p',i_0_64) ).

cnf(i_0_63,plain,
    ( in(X1,relation_dom(X2))
    | X2 != relation_rng_restriction(X3,X4)
    | ~ relation(X2)
    | ~ relation(X4)
    | ~ function(X2)
    | ~ function(X4)
    | ~ in(X1,relation_dom(X4))
    | ~ in(apply(X4,X1),X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vk1i3bsq/lgb.p',i_0_63) ).

cnf(i_0_53,negated_conjecture,
    ( ~ in(esk13_0,relation_dom(esk14_0))
    | ~ in(apply(esk14_0,esk13_0),esk12_0)
    | ~ in(esk13_0,relation_dom(relation_rng_restriction(esk12_0,esk14_0))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vk1i3bsq/lgb.p',i_0_53) ).

cnf(i_0_51,negated_conjecture,
    ( in(apply(esk14_0,esk13_0),esk12_0)
    | in(esk13_0,relation_dom(relation_rng_restriction(esk12_0,esk14_0))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vk1i3bsq/lgb.p',i_0_51) ).

cnf(c_0_76,plain,
    ( in(X1,relation_dom(X2))
    | X3 != relation_rng_restriction(X4,X2)
    | ~ relation(X3)
    | ~ relation(X2)
    | ~ function(X3)
    | ~ function(X2)
    | ~ in(X1,relation_dom(X3)) ),
    i_0_65 ).

cnf(c_0_77,plain,
    ( relation(relation_rng_restriction(X1,X2))
    | ~ relation(X2) ),
    i_0_26 ).

cnf(c_0_78,plain,
    ( function(relation_rng_restriction(X1,X2))
    | ~ relation(X2)
    | ~ function(X2) ),
    i_0_27 ).

cnf(c_0_79,plain,
    ( in(X1,relation_dom(X2))
    | ~ function(X2)
    | ~ relation(X2)
    | ~ in(X1,relation_dom(relation_rng_restriction(X3,X2))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_76]),c_0_77]),c_0_78]) ).

cnf(c_0_80,negated_conjecture,
    ( in(esk13_0,relation_dom(esk14_0))
    | in(esk13_0,relation_dom(relation_rng_restriction(esk12_0,esk14_0))) ),
    i_0_52 ).

cnf(c_0_81,negated_conjecture,
    function(esk14_0),
    i_0_54 ).

cnf(c_0_82,negated_conjecture,
    relation(esk14_0),
    i_0_55 ).

cnf(c_0_83,plain,
    ( in(apply(X1,X2),X3)
    | X4 != relation_rng_restriction(X3,X1)
    | ~ relation(X4)
    | ~ relation(X1)
    | ~ function(X4)
    | ~ function(X1)
    | ~ in(X2,relation_dom(X4)) ),
    i_0_64 ).

cnf(c_0_84,plain,
    ( in(X1,relation_dom(X2))
    | X2 != relation_rng_restriction(X3,X4)
    | ~ relation(X2)
    | ~ relation(X4)
    | ~ function(X2)
    | ~ function(X4)
    | ~ in(X1,relation_dom(X4))
    | ~ in(apply(X4,X1),X3) ),
    i_0_63 ).

cnf(c_0_85,negated_conjecture,
    ( ~ in(esk13_0,relation_dom(esk14_0))
    | ~ in(apply(esk14_0,esk13_0),esk12_0)
    | ~ in(esk13_0,relation_dom(relation_rng_restriction(esk12_0,esk14_0))) ),
    i_0_53 ).

cnf(c_0_86,negated_conjecture,
    in(esk13_0,relation_dom(esk14_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]),c_0_82])]) ).

cnf(c_0_87,plain,
    ( in(apply(X1,X2),X3)
    | ~ function(X1)
    | ~ relation(X1)
    | ~ in(X2,relation_dom(relation_rng_restriction(X3,X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_83]),c_0_77]),c_0_78]) ).

cnf(c_0_88,negated_conjecture,
    ( in(apply(esk14_0,esk13_0),esk12_0)
    | in(esk13_0,relation_dom(relation_rng_restriction(esk12_0,esk14_0))) ),
    i_0_51 ).

cnf(c_0_89,plain,
    ( in(X1,relation_dom(relation_rng_restriction(X2,X3)))
    | ~ function(X3)
    | ~ relation(X3)
    | ~ in(apply(X3,X1),X2)
    | ~ in(X1,relation_dom(X3)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_84]),c_0_77]),c_0_78]) ).

cnf(c_0_90,negated_conjecture,
    ( ~ in(esk13_0,relation_dom(relation_rng_restriction(esk12_0,esk14_0)))
    | ~ in(apply(esk14_0,esk13_0),esk12_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_86])]) ).

cnf(c_0_91,negated_conjecture,
    in(apply(esk14_0,esk13_0),esk12_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_81]),c_0_82])]) ).

cnf(c_0_92,plain,
    ( in(esk13_0,relation_dom(relation_rng_restriction(X1,esk14_0)))
    | ~ in(apply(esk14_0,esk13_0),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_86]),c_0_81]),c_0_82])]) ).

cnf(c_0_93,negated_conjecture,
    ~ in(esk13_0,relation_dom(relation_rng_restriction(esk12_0,esk14_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_91])]) ).

cnf(c_0_94,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_91]),c_0_93]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SEU044+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.35  % Computer : n006.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sat Jun 18 20:27:42 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.46  # ENIGMATIC: Selected complete mode:
% 8.72/2.47  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.72/2.47  # No SInE strategy applied
% 8.72/2.47  # Trying AutoSched0 for 150 seconds
% 8.72/2.47  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 8.72/2.47  # and selection function SelectNewComplexAHP.
% 8.72/2.47  #
% 8.72/2.47  # Preprocessing time       : 0.023 s
% 8.72/2.47  # Presaturation interreduction done
% 8.72/2.47  
% 8.72/2.47  # Proof found!
% 8.72/2.47  # SZS status Theorem
% 8.72/2.47  # SZS output start CNFRefutation
% See solution above
% 8.72/2.47  # Training examples: 0 positive, 0 negative
% 8.72/2.47  
% 8.72/2.47  # -------------------------------------------------
% 8.72/2.47  # User time                : 0.022 s
% 8.72/2.47  # System time              : 0.009 s
% 8.72/2.47  # Total time               : 0.032 s
% 8.72/2.47  # Maximum resident set size: 7128 pages
% 8.72/2.47  
%------------------------------------------------------------------------------