TSTP Solution File: SEU280+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU280+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n005.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 08:40:21 EDT 2022

% Result   : Theorem 7.83s 2.24s
% Output   : CNFRefutation 7.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   54 (   5 unt;  32 nHn;  43 RR)
%            Number of literals    :  153 (  53 equ;  68 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   84 (  10 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_30,plain,
    ( esk4_0 = esk5_0
    | in(esk8_2(X1,X2),X1)
    | ~ in(X2,esk7_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dpgsuf84/lgb.p',i_0_30) ).

cnf(i_0_29,plain,
    ( esk4_0 = esk5_0
    | esk8_2(X1,X2) = X2
    | ~ in(X2,esk7_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dpgsuf84/lgb.p',i_0_29) ).

cnf(i_0_27,plain,
    ( esk4_0 = esk5_0
    | in(X1,esk7_1(X2))
    | X3 != X1
    | ~ ordinal(X1)
    | ~ in(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dpgsuf84/lgb.p',i_0_27) ).

cnf(i_0_28,plain,
    ( esk4_0 = esk5_0
    | ordinal(X1)
    | ~ in(X1,esk7_1(X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dpgsuf84/lgb.p',i_0_28) ).

cnf(i_0_1,negated_conjecture,
    ( ordinal(esk2_1(X1))
    | in(esk2_1(X1),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dpgsuf84/lgb.p',i_0_1) ).

cnf(i_0_2,negated_conjecture,
    ( in(esk2_1(X1),X1)
    | in(esk2_1(X1),esk1_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dpgsuf84/lgb.p',i_0_2) ).

cnf(i_0_3,negated_conjecture,
    ( ~ ordinal(esk2_1(X1))
    | ~ in(esk2_1(X1),X1)
    | ~ in(esk2_1(X1),esk1_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dpgsuf84/lgb.p',i_0_3) ).

cnf(i_0_22,plain,
    ( esk6_0 = esk4_0
    | in(esk8_2(X1,X2),X1)
    | ~ in(X2,esk7_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dpgsuf84/lgb.p',i_0_22) ).

cnf(i_0_21,plain,
    ( esk6_0 = esk4_0
    | esk8_2(X1,X2) = X2
    | ~ in(X2,esk7_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dpgsuf84/lgb.p',i_0_21) ).

cnf(i_0_20,plain,
    ( esk6_0 = esk4_0
    | ordinal(X1)
    | ~ in(X1,esk7_1(X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dpgsuf84/lgb.p',i_0_20) ).

cnf(i_0_12,plain,
    ( ordinal(X1)
    | esk6_0 != esk5_0
    | ~ in(X1,esk7_1(X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dpgsuf84/lgb.p',i_0_12) ).

cnf(i_0_19,plain,
    ( esk6_0 = esk4_0
    | in(X1,esk7_1(X2))
    | X3 != X1
    | ~ ordinal(X1)
    | ~ in(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dpgsuf84/lgb.p',i_0_19) ).

cnf(i_0_14,plain,
    ( in(esk8_2(X1,X2),X1)
    | esk6_0 != esk5_0
    | ~ in(X2,esk7_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dpgsuf84/lgb.p',i_0_14) ).

cnf(i_0_13,plain,
    ( esk8_2(X1,X2) = X2
    | esk6_0 != esk5_0
    | ~ in(X2,esk7_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dpgsuf84/lgb.p',i_0_13) ).

cnf(i_0_11,plain,
    ( in(X1,esk7_1(X2))
    | X3 != X1
    | esk6_0 != esk5_0
    | ~ ordinal(X1)
    | ~ in(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dpgsuf84/lgb.p',i_0_11) ).

cnf(c_0_46,plain,
    ( esk4_0 = esk5_0
    | in(esk8_2(X1,X2),X1)
    | ~ in(X2,esk7_1(X1)) ),
    i_0_30 ).

cnf(c_0_47,plain,
    ( esk4_0 = esk5_0
    | esk8_2(X1,X2) = X2
    | ~ in(X2,esk7_1(X1)) ),
    i_0_29 ).

cnf(c_0_48,plain,
    ( esk4_0 = esk5_0
    | in(X1,esk7_1(X2))
    | X3 != X1
    | ~ ordinal(X1)
    | ~ in(X3,X2) ),
    i_0_27 ).

cnf(c_0_49,plain,
    ( esk4_0 = esk5_0
    | ordinal(X1)
    | ~ in(X1,esk7_1(X2)) ),
    i_0_28 ).

cnf(c_0_50,negated_conjecture,
    ( ordinal(esk2_1(X1))
    | in(esk2_1(X1),X1) ),
    i_0_1 ).

cnf(c_0_51,plain,
    ( esk4_0 = esk5_0
    | in(X1,X2)
    | ~ in(X1,esk7_1(X2)) ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_52,negated_conjecture,
    ( in(esk2_1(X1),X1)
    | in(esk2_1(X1),esk1_0) ),
    i_0_2 ).

cnf(c_0_53,negated_conjecture,
    ( ~ ordinal(esk2_1(X1))
    | ~ in(esk2_1(X1),X1)
    | ~ in(esk2_1(X1),esk1_0) ),
    i_0_3 ).

cnf(c_0_54,plain,
    ( esk4_0 = esk5_0
    | in(X1,esk7_1(X2))
    | ~ ordinal(X1)
    | ~ in(X1,X2) ),
    inference(er,[status(thm)],[c_0_48]) ).

cnf(c_0_55,negated_conjecture,
    ( esk4_0 = esk5_0
    | ordinal(esk2_1(esk7_1(X1))) ),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_56,negated_conjecture,
    ( esk4_0 = esk5_0
    | in(esk2_1(esk7_1(X1)),esk1_0)
    | in(esk2_1(esk7_1(X1)),X1) ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_57,plain,
    ( esk6_0 = esk4_0
    | in(esk8_2(X1,X2),X1)
    | ~ in(X2,esk7_1(X1)) ),
    i_0_22 ).

cnf(c_0_58,plain,
    ( esk6_0 = esk4_0
    | esk8_2(X1,X2) = X2
    | ~ in(X2,esk7_1(X1)) ),
    i_0_21 ).

cnf(c_0_59,negated_conjecture,
    ( esk4_0 = esk5_0
    | ~ in(esk2_1(esk7_1(X1)),esk1_0)
    | ~ in(esk2_1(esk7_1(X1)),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]) ).

cnf(c_0_60,negated_conjecture,
    ( esk4_0 = esk5_0
    | in(esk2_1(esk7_1(esk1_0)),esk1_0) ),
    inference(ef,[status(thm)],[c_0_56]) ).

cnf(c_0_61,plain,
    ( esk6_0 = esk4_0
    | ordinal(X1)
    | ~ in(X1,esk7_1(X2)) ),
    i_0_20 ).

cnf(c_0_62,plain,
    ( ordinal(X1)
    | esk6_0 != esk5_0
    | ~ in(X1,esk7_1(X2)) ),
    i_0_12 ).

cnf(c_0_63,plain,
    ( esk6_0 = esk4_0
    | in(X1,X2)
    | ~ in(X1,esk7_1(X2)) ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_64,plain,
    ( esk6_0 = esk4_0
    | in(X1,esk7_1(X2))
    | X3 != X1
    | ~ ordinal(X1)
    | ~ in(X3,X2) ),
    i_0_19 ).

cnf(c_0_65,negated_conjecture,
    esk4_0 = esk5_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_60]) ).

cnf(c_0_66,negated_conjecture,
    ( esk6_0 = esk4_0
    | ordinal(esk2_1(esk7_1(X1))) ),
    inference(spm,[status(thm)],[c_0_61,c_0_50]) ).

cnf(c_0_67,negated_conjecture,
    ( ordinal(esk2_1(esk7_1(X1)))
    | esk6_0 != esk5_0 ),
    inference(spm,[status(thm)],[c_0_62,c_0_50]) ).

cnf(c_0_68,negated_conjecture,
    ( esk6_0 = esk4_0
    | in(esk2_1(esk7_1(X1)),esk1_0)
    | in(esk2_1(esk7_1(X1)),X1) ),
    inference(spm,[status(thm)],[c_0_63,c_0_52]) ).

cnf(c_0_69,plain,
    ( esk6_0 = esk5_0
    | in(X1,esk7_1(X2))
    | ~ ordinal(X1)
    | ~ in(X1,X2) ),
    inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_64]),c_0_65]) ).

cnf(c_0_70,negated_conjecture,
    ordinal(esk2_1(esk7_1(X1))),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_65]),c_0_67]) ).

cnf(c_0_71,negated_conjecture,
    ( esk6_0 = esk4_0
    | in(esk2_1(esk7_1(esk1_0)),esk1_0) ),
    inference(ef,[status(thm)],[c_0_68]) ).

cnf(c_0_72,plain,
    ( in(esk8_2(X1,X2),X1)
    | esk6_0 != esk5_0
    | ~ in(X2,esk7_1(X1)) ),
    i_0_14 ).

cnf(c_0_73,plain,
    ( esk8_2(X1,X2) = X2
    | esk6_0 != esk5_0
    | ~ in(X2,esk7_1(X1)) ),
    i_0_13 ).

cnf(c_0_74,negated_conjecture,
    ( esk6_0 = esk5_0
    | ~ in(esk2_1(esk7_1(X1)),esk1_0)
    | ~ in(esk2_1(esk7_1(X1)),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_69]),c_0_70])]) ).

cnf(c_0_75,negated_conjecture,
    ( esk6_0 = esk5_0
    | in(esk2_1(esk7_1(esk1_0)),esk1_0) ),
    inference(rw,[status(thm)],[c_0_71,c_0_65]) ).

cnf(c_0_76,plain,
    ( in(X1,X2)
    | esk6_0 != esk5_0
    | ~ in(X1,esk7_1(X2)) ),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_77,plain,
    ( in(X1,esk7_1(X2))
    | X3 != X1
    | esk6_0 != esk5_0
    | ~ ordinal(X1)
    | ~ in(X3,X2) ),
    i_0_11 ).

cnf(c_0_78,negated_conjecture,
    esk6_0 = esk5_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_75]) ).

cnf(c_0_79,plain,
    ( in(X1,X2)
    | ~ in(X1,esk7_1(X2)) ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_65]),c_0_76]) ).

cnf(c_0_80,plain,
    ( in(X1,esk7_1(X2))
    | ~ ordinal(X1)
    | ~ in(X1,X2) ),
    inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_78])])]) ).

cnf(c_0_81,negated_conjecture,
    ( in(esk2_1(esk7_1(X1)),esk1_0)
    | in(esk2_1(esk7_1(X1)),X1) ),
    inference(spm,[status(thm)],[c_0_79,c_0_52]) ).

cnf(c_0_82,negated_conjecture,
    ( ~ in(esk2_1(esk7_1(X1)),esk1_0)
    | ~ in(esk2_1(esk7_1(X1)),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_80]),c_0_70])]) ).

cnf(c_0_83,negated_conjecture,
    in(esk2_1(esk7_1(esk1_0)),esk1_0),
    inference(ef,[status(thm)],[c_0_81]) ).

cnf(c_0_84,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_83])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU280+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n005.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 01:25:55 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 7.83/2.24  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.83/2.24  # No SInE strategy applied
% 7.83/2.24  # Trying AutoSched0 for 150 seconds
% 7.83/2.24  # AutoSched0-Mode selected heuristic G_____0010_evo
% 7.83/2.24  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.83/2.24  #
% 7.83/2.24  # Preprocessing time       : 0.023 s
% 7.83/2.24  
% 7.83/2.24  # Proof found!
% 7.83/2.24  # SZS status Theorem
% 7.83/2.24  # SZS output start CNFRefutation
% See solution above
% 7.83/2.24  # Training examples: 0 positive, 0 negative
% 7.83/2.24  
% 7.83/2.24  # -------------------------------------------------
% 7.83/2.24  # User time                : 0.026 s
% 7.83/2.24  # System time              : 0.006 s
% 7.83/2.24  # Total time               : 0.033 s
% 7.83/2.24  # Maximum resident set size: 7128 pages
% 7.83/2.24  
%------------------------------------------------------------------------------