TSTP Solution File: SYN059+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SYN059+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n012.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 : Thu Jul 21 04:49:22 EDT 2022

% Result   : Theorem 7.65s 2.33s
% Output   : CNFRefutation 7.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   70 (  13 unt;  40 nHn;  70 RR)
%            Number of literals    :  196 (   0 equ;  79 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-1 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   27 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_3,negated_conjecture,
    ( big_j(X1)
    | big_j(X2)
    | ~ big_f(X3)
    | ~ big_g(X1)
    | ~ big_g(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pytlsnu5/input.p',i_0_3) ).

cnf(i_0_1,plain,
    big_f(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pytlsnu5/input.p',i_0_1) ).

cnf(i_0_18,negated_conjecture,
    ( big_f(esk3_0)
    | big_f(esk5_0)
    | big_g(esk4_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pytlsnu5/input.p',i_0_18) ).

cnf(i_0_15,negated_conjecture,
    ( big_f(esk3_0)
    | big_f(esk5_0)
    | ~ big_j(esk4_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pytlsnu5/input.p',i_0_15) ).

cnf(i_0_6,negated_conjecture,
    ( big_h(X1)
    | big_h(X2)
    | ~ big_f(X1)
    | ~ big_f(X2)
    | ~ big_g(X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pytlsnu5/input.p',i_0_6) ).

cnf(i_0_2,plain,
    big_g(esk2_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pytlsnu5/input.p',i_0_2) ).

cnf(i_0_17,negated_conjecture,
    ( big_f(esk3_0)
    | big_g(esk4_0)
    | big_g(esk6_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pytlsnu5/input.p',i_0_17) ).

cnf(i_0_16,negated_conjecture,
    ( big_f(esk3_0)
    | big_g(esk4_0)
    | ~ big_h(esk5_0)
    | ~ big_j(esk6_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pytlsnu5/input.p',i_0_16) ).

cnf(i_0_14,negated_conjecture,
    ( big_f(esk3_0)
    | big_g(esk6_0)
    | ~ big_j(esk4_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pytlsnu5/input.p',i_0_14) ).

cnf(i_0_13,negated_conjecture,
    ( big_f(esk3_0)
    | ~ big_h(esk5_0)
    | ~ big_j(esk4_0)
    | ~ big_j(esk6_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pytlsnu5/input.p',i_0_13) ).

cnf(i_0_12,negated_conjecture,
    ( big_f(esk5_0)
    | big_g(esk4_0)
    | ~ big_h(esk3_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pytlsnu5/input.p',i_0_12) ).

cnf(i_0_9,negated_conjecture,
    ( big_f(esk5_0)
    | ~ big_h(esk3_0)
    | ~ big_j(esk4_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pytlsnu5/input.p',i_0_9) ).

cnf(i_0_11,negated_conjecture,
    ( big_g(esk4_0)
    | big_g(esk6_0)
    | ~ big_h(esk3_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pytlsnu5/input.p',i_0_11) ).

cnf(i_0_10,negated_conjecture,
    ( big_g(esk4_0)
    | ~ big_h(esk3_0)
    | ~ big_h(esk5_0)
    | ~ big_j(esk6_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pytlsnu5/input.p',i_0_10) ).

cnf(i_0_7,negated_conjecture,
    ( ~ big_h(esk3_0)
    | ~ big_h(esk5_0)
    | ~ big_j(esk4_0)
    | ~ big_j(esk6_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pytlsnu5/input.p',i_0_7) ).

cnf(i_0_8,negated_conjecture,
    ( big_g(esk6_0)
    | ~ big_h(esk3_0)
    | ~ big_j(esk4_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pytlsnu5/input.p',i_0_8) ).

cnf(c_0_35,negated_conjecture,
    ( big_j(X1)
    | big_j(X2)
    | ~ big_f(X3)
    | ~ big_g(X1)
    | ~ big_g(X2) ),
    i_0_3 ).

cnf(c_0_36,plain,
    big_f(esk1_0),
    i_0_1 ).

cnf(c_0_37,plain,
    ( big_j(X1)
    | big_j(X2)
    | ~ big_g(X2)
    | ~ big_g(X1) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_38,negated_conjecture,
    ( big_f(esk3_0)
    | big_f(esk5_0)
    | big_g(esk4_0) ),
    i_0_18 ).

cnf(c_0_39,negated_conjecture,
    ( big_f(esk3_0)
    | big_f(esk5_0)
    | ~ big_j(esk4_0) ),
    i_0_15 ).

cnf(c_0_40,negated_conjecture,
    ( big_h(X1)
    | big_h(X2)
    | ~ big_f(X1)
    | ~ big_f(X2)
    | ~ big_g(X3) ),
    i_0_6 ).

cnf(c_0_41,plain,
    big_g(esk2_0),
    i_0_2 ).

cnf(c_0_42,negated_conjecture,
    ( big_j(X1)
    | big_f(esk5_0)
    | big_f(esk3_0)
    | ~ big_g(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).

cnf(c_0_43,plain,
    ( big_h(X1)
    | big_h(X2)
    | ~ big_f(X2)
    | ~ big_f(X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_44,negated_conjecture,
    ( big_f(esk5_0)
    | big_f(esk3_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_42]),c_0_38]) ).

cnf(c_0_45,negated_conjecture,
    ( big_f(esk3_0)
    | big_g(esk4_0)
    | big_g(esk6_0) ),
    i_0_17 ).

cnf(c_0_46,negated_conjecture,
    ( big_h(esk5_0)
    | big_h(X1)
    | big_f(esk3_0)
    | ~ big_f(X1) ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_47,negated_conjecture,
    ( big_j(esk6_0)
    | big_j(X1)
    | big_g(esk4_0)
    | big_f(esk3_0)
    | ~ big_g(X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_45]) ).

cnf(c_0_48,negated_conjecture,
    ( big_f(esk3_0)
    | big_g(esk4_0)
    | ~ big_h(esk5_0)
    | ~ big_j(esk6_0) ),
    i_0_16 ).

cnf(c_0_49,negated_conjecture,
    ( big_h(esk5_0)
    | big_f(esk3_0) ),
    inference(spm,[status(thm)],[c_0_46,c_0_44]) ).

cnf(c_0_50,negated_conjecture,
    ( big_j(esk6_0)
    | big_g(esk4_0)
    | big_f(esk3_0) ),
    inference(spm,[status(thm)],[c_0_47,c_0_45]) ).

cnf(c_0_51,negated_conjecture,
    ( big_g(esk4_0)
    | big_f(esk3_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).

cnf(c_0_52,plain,
    ( big_j(esk4_0)
    | big_j(X1)
    | big_f(esk3_0)
    | ~ big_g(X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_51]) ).

cnf(c_0_53,negated_conjecture,
    ( big_f(esk3_0)
    | big_g(esk6_0)
    | ~ big_j(esk4_0) ),
    i_0_14 ).

cnf(c_0_54,negated_conjecture,
    ( big_j(esk4_0)
    | big_f(esk3_0) ),
    inference(spm,[status(thm)],[c_0_52,c_0_51]) ).

cnf(c_0_55,negated_conjecture,
    ( big_g(esk6_0)
    | big_f(esk3_0) ),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_56,negated_conjecture,
    ( big_f(esk3_0)
    | ~ big_h(esk5_0)
    | ~ big_j(esk4_0)
    | ~ big_j(esk6_0) ),
    i_0_13 ).

cnf(c_0_57,plain,
    ( big_j(esk6_0)
    | big_j(X1)
    | big_f(esk3_0)
    | ~ big_g(X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_55]) ).

cnf(c_0_58,negated_conjecture,
    ( big_f(esk3_0)
    | ~ big_j(esk4_0)
    | ~ big_j(esk6_0) ),
    inference(spm,[status(thm)],[c_0_56,c_0_49]) ).

cnf(c_0_59,negated_conjecture,
    ( big_j(esk6_0)
    | big_f(esk3_0) ),
    inference(spm,[status(thm)],[c_0_57,c_0_55]) ).

cnf(c_0_60,negated_conjecture,
    big_f(esk3_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_54]) ).

cnf(c_0_61,plain,
    ( big_h(esk3_0)
    | big_h(X1)
    | ~ big_f(X1) ),
    inference(spm,[status(thm)],[c_0_43,c_0_60]) ).

cnf(c_0_62,negated_conjecture,
    ( big_f(esk5_0)
    | big_g(esk4_0)
    | ~ big_h(esk3_0) ),
    i_0_12 ).

cnf(c_0_63,negated_conjecture,
    big_h(esk3_0),
    inference(spm,[status(thm)],[c_0_61,c_0_60]) ).

cnf(c_0_64,negated_conjecture,
    ( big_f(esk5_0)
    | ~ big_h(esk3_0)
    | ~ big_j(esk4_0) ),
    i_0_9 ).

cnf(c_0_65,negated_conjecture,
    ( big_g(esk4_0)
    | big_f(esk5_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_63])]) ).

cnf(c_0_66,negated_conjecture,
    ( big_f(esk5_0)
    | ~ big_j(esk4_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_63])]) ).

cnf(c_0_67,plain,
    ( big_j(X1)
    | big_f(esk5_0)
    | ~ big_g(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_65]),c_0_66]) ).

cnf(c_0_68,negated_conjecture,
    ( big_g(esk4_0)
    | big_g(esk6_0)
    | ~ big_h(esk3_0) ),
    i_0_11 ).

cnf(c_0_69,negated_conjecture,
    big_f(esk5_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_65]) ).

cnf(c_0_70,negated_conjecture,
    ( big_g(esk6_0)
    | big_g(esk4_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_63])]) ).

cnf(c_0_71,negated_conjecture,
    ( big_g(esk4_0)
    | ~ big_h(esk3_0)
    | ~ big_h(esk5_0)
    | ~ big_j(esk6_0) ),
    i_0_10 ).

cnf(c_0_72,plain,
    ( big_h(esk5_0)
    | big_h(X1)
    | ~ big_f(X1) ),
    inference(spm,[status(thm)],[c_0_43,c_0_69]) ).

cnf(c_0_73,plain,
    ( big_j(esk6_0)
    | big_j(X1)
    | big_g(esk4_0)
    | ~ big_g(X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_70]) ).

cnf(c_0_74,negated_conjecture,
    ( big_g(esk4_0)
    | ~ big_h(esk5_0)
    | ~ big_j(esk6_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_63])]) ).

cnf(c_0_75,negated_conjecture,
    big_h(esk5_0),
    inference(spm,[status(thm)],[c_0_72,c_0_69]) ).

cnf(c_0_76,negated_conjecture,
    ( big_j(esk6_0)
    | big_g(esk4_0) ),
    inference(spm,[status(thm)],[c_0_73,c_0_70]) ).

cnf(c_0_77,negated_conjecture,
    big_g(esk4_0),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_75])]),c_0_76]) ).

cnf(c_0_78,negated_conjecture,
    ( ~ big_h(esk3_0)
    | ~ big_h(esk5_0)
    | ~ big_j(esk4_0)
    | ~ big_j(esk6_0) ),
    i_0_7 ).

cnf(c_0_79,negated_conjecture,
    ( big_g(esk6_0)
    | ~ big_h(esk3_0)
    | ~ big_j(esk4_0) ),
    i_0_8 ).

cnf(c_0_80,plain,
    ( big_j(esk4_0)
    | big_j(X1)
    | ~ big_g(X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_77]) ).

cnf(c_0_81,negated_conjecture,
    ( ~ big_h(esk5_0)
    | ~ big_j(esk4_0)
    | ~ big_j(esk6_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_63])]) ).

cnf(c_0_82,negated_conjecture,
    ( big_g(esk6_0)
    | ~ big_j(esk4_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_63])]) ).

cnf(c_0_83,negated_conjecture,
    big_j(esk4_0),
    inference(spm,[status(thm)],[c_0_80,c_0_77]) ).

cnf(c_0_84,negated_conjecture,
    ( ~ big_j(esk4_0)
    | ~ big_j(esk6_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_75])]) ).

cnf(c_0_85,negated_conjecture,
    big_g(esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_83])]) ).

cnf(c_0_86,negated_conjecture,
    ~ big_j(esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_83])]) ).

cnf(c_0_87,plain,
    ( big_j(X1)
    | ~ big_g(X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_85]),c_0_86]) ).

cnf(c_0_88,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_85])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SYN059+1 : TPTP v8.1.0. Released v2.0.0.
% 0.13/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.35  % Computer : n012.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 : Tue Jul 12 00:27:59 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  # ENIGMATIC: Selected complete mode:
% 7.65/2.33  # ENIGMATIC: Solved by autoschedule:
% 7.65/2.33  # No SInE strategy applied
% 7.65/2.33  # Trying AutoSched0 for 150 seconds
% 7.65/2.33  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S0Y_ni
% 7.65/2.33  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.65/2.33  #
% 7.65/2.33  # Preprocessing time       : 0.020 s
% 7.65/2.33  # Presaturation interreduction done
% 7.65/2.33  
% 7.65/2.33  # Proof found!
% 7.65/2.33  # SZS status Theorem
% 7.65/2.33  # SZS output start CNFRefutation
% See solution above
% 7.65/2.33  # Training examples: 0 positive, 0 negative
% 7.65/2.33  
% 7.65/2.33  # -------------------------------------------------
% 7.65/2.33  # User time                : 0.022 s
% 7.65/2.33  # System time              : 0.007 s
% 7.65/2.33  # Total time               : 0.029 s
% 7.65/2.33  # Maximum resident set size: 7124 pages
% 7.65/2.33  
%------------------------------------------------------------------------------