TSTP Solution File: SEU248+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU248+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n024.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 08:40:03 EDT 2022

% Result   : Theorem 7.60s 2.48s
% Output   : CNFRefutation 7.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   29 (   8 unt;   4 nHn;  20 RR)
%            Number of literals    :   72 (   8 equ;  41 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   2 con; 0-3 aty)
%            Number of variables   :   68 (  12 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_11,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-rk83blxb/lgb.p',i_0_11) ).

cnf(i_0_27,plain,
    ( relation(relation_rng_restriction(X1,X2))
    | ~ relation(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rk83blxb/lgb.p',i_0_27) ).

cnf(i_0_18,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-rk83blxb/lgb.p',i_0_18) ).

cnf(i_0_6,plain,
    unordered_pair(X1,X2) = unordered_pair(X2,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rk83blxb/lgb.p',i_0_6) ).

cnf(i_0_19,plain,
    ( in(unordered_pair(unordered_pair(X1,esk4_3(X2,X3,X1)),singleton(X1)),X2)
    | X3 != relation_dom(X2)
    | ~ relation(X2)
    | ~ in(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rk83blxb/lgb.p',i_0_19) ).

cnf(i_0_14,plain,
    ( subset(X1,X2)
    | in(esk3_2(X1,X2),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rk83blxb/lgb.p',i_0_14) ).

cnf(i_0_35,negated_conjecture,
    relation(esk9_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rk83blxb/lgb.p',i_0_35) ).

cnf(i_0_13,plain,
    ( subset(X1,X2)
    | ~ in(esk3_2(X1,X2),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rk83blxb/lgb.p',i_0_13) ).

cnf(i_0_34,negated_conjecture,
    ~ subset(relation_dom(relation_rng_restriction(esk8_0,esk9_0)),relation_dom(esk9_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rk83blxb/lgb.p',i_0_34) ).

cnf(c_0_45,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_11 ).

cnf(c_0_46,plain,
    ( relation(relation_rng_restriction(X1,X2))
    | ~ relation(X2) ),
    i_0_27 ).

cnf(c_0_47,plain,
    ( in(X1,X2)
    | X2 != relation_dom(X3)
    | ~ relation(X3)
    | ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),X3) ),
    i_0_18 ).

cnf(c_0_48,plain,
    ( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
    | ~ relation(X3)
    | ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),relation_rng_restriction(X4,X3)) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_45]),c_0_46]) ).

cnf(c_0_49,plain,
    unordered_pair(X1,X2) = unordered_pair(X2,X1),
    i_0_6 ).

cnf(c_0_50,plain,
    ( in(unordered_pair(unordered_pair(X1,esk4_3(X2,X3,X1)),singleton(X1)),X2)
    | X3 != relation_dom(X2)
    | ~ relation(X2)
    | ~ in(X1,X3) ),
    i_0_19 ).

cnf(c_0_51,plain,
    ( in(X1,relation_dom(X2))
    | ~ relation(X2)
    | ~ in(unordered_pair(unordered_pair(X1,X3),singleton(X1)),X2) ),
    inference(er,[status(thm)],[c_0_47]) ).

cnf(c_0_52,plain,
    ( in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),X3)
    | ~ relation(X3)
    | ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),relation_rng_restriction(X4,X3)) ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_53,plain,
    ( in(unordered_pair(singleton(X1),unordered_pair(X1,esk4_3(X2,relation_dom(X2),X1))),X2)
    | ~ relation(X2)
    | ~ in(X1,relation_dom(X2)) ),
    inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_49])]) ).

cnf(c_0_54,plain,
    ( in(X1,relation_dom(X2))
    | ~ relation(X2)
    | ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X3)),X2) ),
    inference(spm,[status(thm)],[c_0_51,c_0_49]) ).

cnf(c_0_55,plain,
    ( in(unordered_pair(singleton(X1),unordered_pair(X1,esk4_3(relation_rng_restriction(X2,X3),relation_dom(relation_rng_restriction(X2,X3)),X1))),X3)
    | ~ relation(X3)
    | ~ in(X1,relation_dom(relation_rng_restriction(X2,X3))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_46]) ).

cnf(c_0_56,plain,
    ( in(X1,relation_dom(X2))
    | ~ relation(X2)
    | ~ in(X1,relation_dom(relation_rng_restriction(X3,X2))) ),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_57,plain,
    ( subset(X1,X2)
    | in(esk3_2(X1,X2),X1) ),
    i_0_14 ).

cnf(c_0_58,plain,
    ( in(esk3_2(relation_dom(relation_rng_restriction(X1,X2)),X3),relation_dom(X2))
    | subset(relation_dom(relation_rng_restriction(X1,X2)),X3)
    | ~ relation(X2) ),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_59,negated_conjecture,
    relation(esk9_0),
    i_0_35 ).

cnf(c_0_60,plain,
    ( subset(X1,X2)
    | ~ in(esk3_2(X1,X2),X2) ),
    i_0_13 ).

cnf(c_0_61,negated_conjecture,
    ( in(esk3_2(relation_dom(relation_rng_restriction(X1,esk9_0)),X2),relation_dom(esk9_0))
    | subset(relation_dom(relation_rng_restriction(X1,esk9_0)),X2) ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_62,negated_conjecture,
    ~ subset(relation_dom(relation_rng_restriction(esk8_0,esk9_0)),relation_dom(esk9_0)),
    i_0_34 ).

cnf(c_0_63,plain,
    subset(relation_dom(relation_rng_restriction(X1,esk9_0)),relation_dom(esk9_0)),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_64,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_63])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU248+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n024.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jun 19 13:11:04 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  # ENIGMATIC: Selected complete mode:
% 7.60/2.48  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.60/2.48  # No SInE strategy applied
% 7.60/2.48  # Trying AutoSched0 for 150 seconds
% 7.60/2.48  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 7.60/2.48  # and selection function SelectComplexExceptUniqMaxHorn.
% 7.60/2.48  #
% 7.60/2.48  # Preprocessing time       : 0.017 s
% 7.60/2.48  # Presaturation interreduction done
% 7.60/2.48  
% 7.60/2.48  # Proof found!
% 7.60/2.48  # SZS status Theorem
% 7.60/2.48  # SZS output start CNFRefutation
% See solution above
% 7.60/2.48  # Training examples: 0 positive, 0 negative
% 7.60/2.48  
% 7.60/2.48  # -------------------------------------------------
% 7.60/2.48  # User time                : 0.026 s
% 7.60/2.48  # System time              : 0.003 s
% 7.60/2.48  # Total time               : 0.030 s
% 7.60/2.48  # Maximum resident set size: 7124 pages
% 7.60/2.48  
%------------------------------------------------------------------------------