TSTP Solution File: SEU199+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU199+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n011.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 08:39:26 EDT 2022

% Result   : Theorem 7.97s 2.53s
% Output   : CNFRefutation 7.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   26 (  10 unt;   6 nHn;  20 RR)
%            Number of literals    :   64 (   4 equ;  36 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :   42 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_11,plain,
    ( subset(X1,X2)
    | in(unordered_pair(unordered_pair(esk3_2(X1,X2),esk4_2(X1,X2)),singleton(esk3_2(X1,X2))),X1)
    | ~ relation(X2)
    | ~ relation(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0nmyfrn1/lgb.p',i_0_11) ).

cnf(i_0_3,plain,
    unordered_pair(X1,X2) = unordered_pair(X2,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0nmyfrn1/lgb.p',i_0_3) ).

cnf(i_0_41,negated_conjecture,
    relation(esk13_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0nmyfrn1/lgb.p',i_0_41) ).

cnf(i_0_19,plain,
    ( relation(relation_rng_restriction(X1,X2))
    | ~ relation(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0nmyfrn1/lgb.p',i_0_19) ).

cnf(i_0_8,plain,
    ( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
    | X4 != relation_rng_restriction(X5,X3)
    | ~ relation(X4)
    | ~ relation(X3)
    | ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0nmyfrn1/lgb.p',i_0_8) ).

cnf(i_0_10,plain,
    ( subset(X1,X2)
    | ~ relation(X2)
    | ~ relation(X1)
    | ~ in(unordered_pair(unordered_pair(esk3_2(X1,X2),esk4_2(X1,X2)),singleton(esk3_2(X1,X2))),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0nmyfrn1/lgb.p',i_0_10) ).

cnf(i_0_40,negated_conjecture,
    ~ subset(relation_rng_restriction(esk12_0,esk13_0),esk13_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0nmyfrn1/lgb.p',i_0_40) ).

cnf(c_0_49,plain,
    ( subset(X1,X2)
    | in(unordered_pair(unordered_pair(esk3_2(X1,X2),esk4_2(X1,X2)),singleton(esk3_2(X1,X2))),X1)
    | ~ relation(X2)
    | ~ relation(X1) ),
    i_0_11 ).

cnf(c_0_50,plain,
    unordered_pair(X1,X2) = unordered_pair(X2,X1),
    i_0_3 ).

cnf(c_0_51,plain,
    ( in(unordered_pair(singleton(esk3_2(X1,X2)),unordered_pair(esk3_2(X1,X2),esk4_2(X1,X2))),X1)
    | subset(X1,X2)
    | ~ relation(X2)
    | ~ relation(X1) ),
    inference(rw,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_52,negated_conjecture,
    relation(esk13_0),
    i_0_41 ).

cnf(c_0_53,negated_conjecture,
    ( in(unordered_pair(singleton(esk3_2(X1,esk13_0)),unordered_pair(esk3_2(X1,esk13_0),esk4_2(X1,esk13_0))),X1)
    | subset(X1,esk13_0)
    | ~ relation(X1) ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_54,plain,
    ( relation(relation_rng_restriction(X1,X2))
    | ~ relation(X2) ),
    i_0_19 ).

cnf(c_0_55,plain,
    ( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
    | X4 != relation_rng_restriction(X5,X3)
    | ~ relation(X4)
    | ~ relation(X3)
    | ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X4) ),
    i_0_8 ).

cnf(c_0_56,plain,
    ( in(unordered_pair(singleton(esk3_2(relation_rng_restriction(X1,X2),esk13_0)),unordered_pair(esk3_2(relation_rng_restriction(X1,X2),esk13_0),esk4_2(relation_rng_restriction(X1,X2),esk13_0))),relation_rng_restriction(X1,X2))
    | subset(relation_rng_restriction(X1,X2),esk13_0)
    | ~ relation(X2) ),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_57,plain,
    ( subset(X1,X2)
    | ~ relation(X2)
    | ~ relation(X1)
    | ~ in(unordered_pair(unordered_pair(esk3_2(X1,X2),esk4_2(X1,X2)),singleton(esk3_2(X1,X2))),X2) ),
    i_0_10 ).

cnf(c_0_58,plain,
    ( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
    | ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),relation_rng_restriction(X4,X3))
    | ~ relation(X3) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_55]),c_0_54]) ).

cnf(c_0_59,negated_conjecture,
    ~ subset(relation_rng_restriction(esk12_0,esk13_0),esk13_0),
    i_0_40 ).

cnf(c_0_60,negated_conjecture,
    ( in(unordered_pair(singleton(esk3_2(relation_rng_restriction(X1,esk13_0),esk13_0)),unordered_pair(esk3_2(relation_rng_restriction(X1,esk13_0),esk13_0),esk4_2(relation_rng_restriction(X1,esk13_0),esk13_0))),relation_rng_restriction(X1,esk13_0))
    | subset(relation_rng_restriction(X1,esk13_0),esk13_0) ),
    inference(spm,[status(thm)],[c_0_56,c_0_52]) ).

cnf(c_0_61,plain,
    ( subset(X1,X2)
    | ~ in(unordered_pair(singleton(esk3_2(X1,X2)),unordered_pair(esk3_2(X1,X2),esk4_2(X1,X2))),X2)
    | ~ relation(X2)
    | ~ relation(X1) ),
    inference(rw,[status(thm)],[c_0_57,c_0_50]) ).

cnf(c_0_62,plain,
    ( in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),X3)
    | ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),relation_rng_restriction(X4,X3))
    | ~ relation(X3) ),
    inference(spm,[status(thm)],[c_0_58,c_0_50]) ).

cnf(c_0_63,negated_conjecture,
    in(unordered_pair(singleton(esk3_2(relation_rng_restriction(esk12_0,esk13_0),esk13_0)),unordered_pair(esk3_2(relation_rng_restriction(esk12_0,esk13_0),esk13_0),esk4_2(relation_rng_restriction(esk12_0,esk13_0),esk13_0))),relation_rng_restriction(esk12_0,esk13_0)),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_64,negated_conjecture,
    ( ~ in(unordered_pair(singleton(esk3_2(relation_rng_restriction(esk12_0,esk13_0),esk13_0)),unordered_pair(esk3_2(relation_rng_restriction(esk12_0,esk13_0),esk13_0),esk4_2(relation_rng_restriction(esk12_0,esk13_0),esk13_0))),esk13_0)
    | ~ relation(relation_rng_restriction(esk12_0,esk13_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_61]),c_0_52])]) ).

cnf(c_0_65,plain,
    in(unordered_pair(singleton(esk3_2(relation_rng_restriction(esk12_0,esk13_0),esk13_0)),unordered_pair(esk3_2(relation_rng_restriction(esk12_0,esk13_0),esk13_0),esk4_2(relation_rng_restriction(esk12_0,esk13_0),esk13_0))),esk13_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_52])]) ).

cnf(c_0_66,negated_conjecture,
    ~ relation(relation_rng_restriction(esk12_0,esk13_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_65])]) ).

cnf(c_0_67,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_54]),c_0_52])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SEU199+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.35  % Computer : n011.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sun Jun 19 01:13:40 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.21/0.47  # ENIGMATIC: Selected complete mode:
% 7.97/2.53  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.97/2.53  # No SInE strategy applied
% 7.97/2.53  # Trying AutoSched0 for 150 seconds
% 7.97/2.53  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S04AI
% 7.97/2.53  # and selection function SelectComplexExceptUniqMaxHorn.
% 7.97/2.53  #
% 7.97/2.53  # Preprocessing time       : 0.023 s
% 7.97/2.53  # Presaturation interreduction done
% 7.97/2.53  
% 7.97/2.53  # Proof found!
% 7.97/2.53  # SZS status Theorem
% 7.97/2.53  # SZS output start CNFRefutation
% See solution above
% 7.97/2.53  # Training examples: 0 positive, 0 negative
% 7.97/2.53  
% 7.97/2.53  # -------------------------------------------------
% 7.97/2.53  # User time                : 0.059 s
% 7.97/2.53  # System time              : 0.012 s
% 7.97/2.53  # Total time               : 0.071 s
% 7.97/2.53  # Maximum resident set size: 7128 pages
% 7.97/2.53  
%------------------------------------------------------------------------------