TSTP Solution File: SEU430+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU430+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n022.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 08:42:22 EDT 2022

% Result   : Theorem 7.37s 2.34s
% Output   : CNFRefutation 7.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   38 (  11 unt;   6 nHn;  36 RR)
%            Number of literals    :   77 (  29 equ;  44 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-3 aty)
%            Number of variables   :   49 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_14,plain,
    ( r2_hidden(X1,esk5_3(X2,X3,X1))
    | X3 != k3_tarski(X2)
    | ~ r2_hidden(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1c2h2djo/lgb.p',i_0_14) ).

cnf(i_0_13,plain,
    ( r2_hidden(esk5_3(X1,X2,X3),X1)
    | X2 != k3_tarski(X1)
    | ~ r2_hidden(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1c2h2djo/lgb.p',i_0_13) ).

cnf(i_0_37,plain,
    ( k5_setfam_1(X1,X2) = k3_tarski(X2)
    | ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1c2h2djo/lgb.p',i_0_37) ).

cnf(i_0_4,negated_conjecture,
    m1_subset_1(esk2_0,k1_zfmisc_1(k1_zfmisc_1(esk1_0))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1c2h2djo/lgb.p',i_0_4) ).

cnf(i_0_46,plain,
    ( ~ v1_xboole_0(X1)
    | ~ r2_hidden(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1c2h2djo/lgb.p',i_0_46) ).

cnf(i_0_1,negated_conjecture,
    ( X1 = k1_xboole_0
    | k5_setfam_1(esk1_0,esk2_0) = k1_xboole_0
    | ~ r2_hidden(X1,esk2_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1c2h2djo/lgb.p',i_0_1) ).

cnf(i_0_7,plain,
    ( X1 = k1_xboole_0
    | r2_hidden(esk4_1(X1),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1c2h2djo/lgb.p',i_0_7) ).

cnf(i_0_26,plain,
    v1_xboole_0(k1_xboole_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1c2h2djo/lgb.p',i_0_26) ).

cnf(i_0_12,plain,
    ( r2_hidden(X1,X2)
    | X2 != k3_tarski(X3)
    | ~ r2_hidden(X4,X3)
    | ~ r2_hidden(X1,X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1c2h2djo/lgb.p',i_0_12) ).

cnf(i_0_3,negated_conjecture,
    ( r2_hidden(esk3_0,esk2_0)
    | k5_setfam_1(esk1_0,esk2_0) != k1_xboole_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1c2h2djo/lgb.p',i_0_3) ).

cnf(i_0_8,plain,
    ( X1 != k1_xboole_0
    | ~ r2_hidden(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1c2h2djo/lgb.p',i_0_8) ).

cnf(i_0_2,negated_conjecture,
    ( esk3_0 != k1_xboole_0
    | k5_setfam_1(esk1_0,esk2_0) != k1_xboole_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1c2h2djo/lgb.p',i_0_2) ).

cnf(c_0_59,plain,
    ( r2_hidden(X1,esk5_3(X2,X3,X1))
    | X3 != k3_tarski(X2)
    | ~ r2_hidden(X1,X3) ),
    i_0_14 ).

cnf(c_0_60,plain,
    ( r2_hidden(esk5_3(X1,X2,X3),X1)
    | X2 != k3_tarski(X1)
    | ~ r2_hidden(X3,X2) ),
    i_0_13 ).

cnf(c_0_61,plain,
    ( k5_setfam_1(X1,X2) = k3_tarski(X2)
    | ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
    i_0_37 ).

cnf(c_0_62,negated_conjecture,
    m1_subset_1(esk2_0,k1_zfmisc_1(k1_zfmisc_1(esk1_0))),
    i_0_4 ).

cnf(c_0_63,plain,
    ( ~ v1_xboole_0(X1)
    | ~ r2_hidden(X2,X1) ),
    i_0_46 ).

cnf(c_0_64,plain,
    ( r2_hidden(X1,esk5_3(X2,k3_tarski(X2),X1))
    | ~ r2_hidden(X1,k3_tarski(X2)) ),
    inference(er,[status(thm)],[c_0_59]) ).

cnf(c_0_65,negated_conjecture,
    ( X1 = k1_xboole_0
    | k5_setfam_1(esk1_0,esk2_0) = k1_xboole_0
    | ~ r2_hidden(X1,esk2_0) ),
    i_0_1 ).

cnf(c_0_66,plain,
    ( r2_hidden(esk5_3(X1,k3_tarski(X1),X2),X1)
    | ~ r2_hidden(X2,k3_tarski(X1)) ),
    inference(er,[status(thm)],[c_0_60]) ).

cnf(c_0_67,negated_conjecture,
    k3_tarski(esk2_0) = k5_setfam_1(esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_68,plain,
    ( ~ v1_xboole_0(esk5_3(X1,k3_tarski(X1),X2))
    | ~ r2_hidden(X2,k3_tarski(X1)) ),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_69,negated_conjecture,
    ( esk5_3(esk2_0,k5_setfam_1(esk1_0,esk2_0),X1) = k1_xboole_0
    | k5_setfam_1(esk1_0,esk2_0) = k1_xboole_0
    | ~ r2_hidden(X1,k5_setfam_1(esk1_0,esk2_0)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]),c_0_67]) ).

cnf(c_0_70,plain,
    ( X1 = k1_xboole_0
    | r2_hidden(esk4_1(X1),X1) ),
    i_0_7 ).

cnf(c_0_71,negated_conjecture,
    ( ~ v1_xboole_0(esk5_3(esk2_0,k5_setfam_1(esk1_0,esk2_0),X1))
    | ~ r2_hidden(X1,k5_setfam_1(esk1_0,esk2_0)) ),
    inference(spm,[status(thm)],[c_0_68,c_0_67]) ).

cnf(c_0_72,plain,
    ( esk5_3(esk2_0,k5_setfam_1(esk1_0,esk2_0),esk4_1(k5_setfam_1(esk1_0,esk2_0))) = k1_xboole_0
    | k5_setfam_1(esk1_0,esk2_0) = k1_xboole_0 ),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_73,plain,
    v1_xboole_0(k1_xboole_0),
    i_0_26 ).

cnf(c_0_74,plain,
    ( r2_hidden(X1,X2)
    | X2 != k3_tarski(X3)
    | ~ r2_hidden(X4,X3)
    | ~ r2_hidden(X1,X4) ),
    i_0_12 ).

cnf(c_0_75,negated_conjecture,
    ( r2_hidden(esk3_0,esk2_0)
    | k5_setfam_1(esk1_0,esk2_0) != k1_xboole_0 ),
    i_0_3 ).

cnf(c_0_76,negated_conjecture,
    k5_setfam_1(esk1_0,esk2_0) = k1_xboole_0,
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73])]),c_0_70]) ).

cnf(c_0_77,plain,
    ( X1 != k1_xboole_0
    | ~ r2_hidden(X2,X1) ),
    i_0_8 ).

cnf(c_0_78,plain,
    ( r2_hidden(X1,k3_tarski(X2))
    | ~ r2_hidden(X3,X2)
    | ~ r2_hidden(X1,X3) ),
    inference(er,[status(thm)],[c_0_74]) ).

cnf(c_0_79,negated_conjecture,
    r2_hidden(esk3_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_76])]) ).

cnf(c_0_80,plain,
    ~ r2_hidden(X1,k1_xboole_0),
    inference(er,[status(thm)],[c_0_77]) ).

cnf(c_0_81,negated_conjecture,
    ( esk3_0 != k1_xboole_0
    | k5_setfam_1(esk1_0,esk2_0) != k1_xboole_0 ),
    i_0_2 ).

cnf(c_0_82,plain,
    ~ r2_hidden(X1,esk3_0),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_67]),c_0_76]),c_0_80]) ).

cnf(c_0_83,negated_conjecture,
    esk3_0 != k1_xboole_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_76])]) ).

cnf(c_0_84,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_70]),c_0_83]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SEU430+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n022.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 : Mon Jun 20 12:52:33 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 7.37/2.34  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.37/2.34  # No SInE strategy applied
% 7.37/2.34  # Trying AutoSched0 for 150 seconds
% 7.37/2.34  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN
% 7.37/2.34  # and selection function SelectComplexExceptUniqMaxHorn.
% 7.37/2.34  #
% 7.37/2.34  # Preprocessing time       : 0.023 s
% 7.37/2.34  # Presaturation interreduction done
% 7.37/2.34  
% 7.37/2.34  # Proof found!
% 7.37/2.34  # SZS status Theorem
% 7.37/2.34  # SZS output start CNFRefutation
% See solution above
% 7.37/2.34  # Training examples: 0 positive, 0 negative
% 7.37/2.34  
% 7.37/2.34  # -------------------------------------------------
% 7.37/2.34  # User time                : 0.044 s
% 7.37/2.34  # System time              : 0.007 s
% 7.37/2.34  # Total time               : 0.051 s
% 7.37/2.34  # Maximum resident set size: 7124 pages
% 7.37/2.34  
%------------------------------------------------------------------------------