TSTP Solution File: LCL672+1.001 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LCL672+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n007.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 : Sun Jul 17 09:31:47 EDT 2022

% Result   : Theorem 8.22s 2.44s
% Output   : CNFRefutation 8.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   37 (  19 unt;  11 nHn;  35 RR)
%            Number of literals    :  113 (   0 equ;  59 neg)
%            Maximal clause size   :   10 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-3 aty)
%            Number of variables   :   57 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_2,plain,
    ( r1(X1,X2)
    | ~ r1(X3,X2)
    | ~ r1(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aqzjw_jf/input.p',i_0_2) ).

cnf(i_0_6,negated_conjecture,
    r1(esk8_0,esk10_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aqzjw_jf/input.p',i_0_6) ).

cnf(i_0_18,negated_conjecture,
    ( p2(X1)
    | p1(X2)
    | p1(X3)
    | r1(X4,esk3_3(X5,X6,X4))
    | ~ r1(X6,X3)
    | ~ r1(X6,X4)
    | ~ r1(X5,X6)
    | ~ r1(esk1_0,X2)
    | ~ r1(esk1_0,X1)
    | ~ r1(esk1_0,X5) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aqzjw_jf/input.p',i_0_18) ).

cnf(i_0_1,plain,
    r1(X1,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aqzjw_jf/input.p',i_0_1) ).

cnf(i_0_9,negated_conjecture,
    r1(esk1_0,esk8_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aqzjw_jf/input.p',i_0_9) ).

cnf(i_0_5,negated_conjecture,
    ~ p1(esk10_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aqzjw_jf/input.p',i_0_5) ).

cnf(i_0_11,negated_conjecture,
    r1(esk1_0,esk7_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aqzjw_jf/input.p',i_0_11) ).

cnf(i_0_10,negated_conjecture,
    ~ p2(esk7_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aqzjw_jf/input.p',i_0_10) ).

cnf(i_0_8,negated_conjecture,
    r1(esk8_0,esk9_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aqzjw_jf/input.p',i_0_8) ).

cnf(i_0_7,negated_conjecture,
    ( p1(X1)
    | ~ r1(esk9_0,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aqzjw_jf/input.p',i_0_7) ).

cnf(i_0_17,negated_conjecture,
    ( p2(X1)
    | p1(X2)
    | p1(X3)
    | ~ r1(X4,X3)
    | ~ r1(X4,X5)
    | ~ r1(X6,X4)
    | ~ r1(esk1_0,X2)
    | ~ r1(esk1_0,X1)
    | ~ r1(esk1_0,X6)
    | ~ p1(esk3_3(X6,X4,X5)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aqzjw_jf/input.p',i_0_17) ).

cnf(c_0_30,plain,
    ( r1(X1,X2)
    | ~ r1(X3,X2)
    | ~ r1(X1,X3) ),
    i_0_2 ).

cnf(c_0_31,negated_conjecture,
    r1(esk8_0,esk10_0),
    i_0_6 ).

cnf(c_0_32,negated_conjecture,
    ( p2(X1)
    | p1(X2)
    | p1(X3)
    | r1(X4,esk3_3(X5,X6,X4))
    | ~ r1(X6,X3)
    | ~ r1(X6,X4)
    | ~ r1(X5,X6)
    | ~ r1(esk1_0,X2)
    | ~ r1(esk1_0,X1)
    | ~ r1(esk1_0,X5) ),
    i_0_18 ).

cnf(c_0_33,plain,
    r1(X1,X1),
    i_0_1 ).

cnf(c_0_34,negated_conjecture,
    ( r1(X1,esk10_0)
    | ~ r1(X1,esk8_0) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_35,negated_conjecture,
    r1(esk1_0,esk8_0),
    i_0_9 ).

cnf(c_0_36,plain,
    ( p1(X1)
    | p1(X2)
    | p2(X3)
    | r1(X4,esk3_3(esk1_0,X5,X4))
    | ~ r1(esk1_0,X1)
    | ~ r1(esk1_0,X3)
    | ~ r1(esk1_0,X5)
    | ~ r1(X5,X4)
    | ~ r1(X5,X2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_37,negated_conjecture,
    r1(esk1_0,esk10_0),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_38,negated_conjecture,
    ~ p1(esk10_0),
    i_0_5 ).

cnf(c_0_39,negated_conjecture,
    ( p1(X1)
    | p2(X2)
    | r1(X3,esk3_3(esk1_0,X4,X3))
    | ~ r1(esk1_0,X2)
    | ~ r1(esk1_0,X4)
    | ~ r1(X4,X3)
    | ~ r1(X4,X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).

cnf(c_0_40,negated_conjecture,
    r1(esk1_0,esk7_0),
    i_0_11 ).

cnf(c_0_41,negated_conjecture,
    ~ p2(esk7_0),
    i_0_10 ).

cnf(c_0_42,negated_conjecture,
    r1(esk8_0,esk9_0),
    i_0_8 ).

cnf(c_0_43,negated_conjecture,
    ( p1(X1)
    | r1(X2,esk3_3(esk1_0,X3,X2))
    | ~ r1(esk1_0,X3)
    | ~ r1(X3,X2)
    | ~ r1(X3,X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]) ).

cnf(c_0_44,negated_conjecture,
    ( r1(X1,esk9_0)
    | ~ r1(X1,esk8_0) ),
    inference(spm,[status(thm)],[c_0_30,c_0_42]) ).

cnf(c_0_45,plain,
    ( p1(X1)
    | r1(X2,esk3_3(esk1_0,esk1_0,X2))
    | ~ r1(esk1_0,X2)
    | ~ r1(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_43,c_0_33]) ).

cnf(c_0_46,negated_conjecture,
    r1(esk1_0,esk9_0),
    inference(spm,[status(thm)],[c_0_44,c_0_35]) ).

cnf(c_0_47,negated_conjecture,
    ( p1(X1)
    | r1(esk9_0,esk3_3(esk1_0,esk1_0,esk9_0))
    | ~ r1(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_48,negated_conjecture,
    ( p1(X1)
    | ~ r1(esk9_0,X1) ),
    i_0_7 ).

cnf(c_0_49,negated_conjecture,
    r1(esk9_0,esk3_3(esk1_0,esk1_0,esk9_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_37]),c_0_38]) ).

cnf(c_0_50,negated_conjecture,
    ( p2(X1)
    | p1(X2)
    | p1(X3)
    | ~ r1(X4,X3)
    | ~ r1(X4,X5)
    | ~ r1(X6,X4)
    | ~ r1(esk1_0,X2)
    | ~ r1(esk1_0,X1)
    | ~ r1(esk1_0,X6)
    | ~ p1(esk3_3(X6,X4,X5)) ),
    i_0_17 ).

cnf(c_0_51,negated_conjecture,
    p1(esk3_3(esk1_0,esk1_0,esk9_0)),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_52,negated_conjecture,
    ( p1(X1)
    | p1(X2)
    | p2(X3)
    | ~ r1(esk1_0,X1)
    | ~ r1(esk1_0,X3)
    | ~ r1(esk1_0,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_33]),c_0_46])]) ).

cnf(c_0_53,negated_conjecture,
    ( p1(X1)
    | p2(X2)
    | ~ r1(esk1_0,X2)
    | ~ r1(esk1_0,X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_37]),c_0_38]) ).

cnf(c_0_54,negated_conjecture,
    ( p1(X1)
    | ~ r1(esk1_0,X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_40]),c_0_41]) ).

cnf(c_0_55,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_37]),c_0_38]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL672+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n007.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jul  5 00:56:14 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected complete mode:
% 8.22/2.44  # ENIGMATIC: Solved by autoschedule:
% 8.22/2.44  # No SInE strategy applied
% 8.22/2.44  # Trying AutoSched0 for 150 seconds
% 8.22/2.44  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S047A
% 8.22/2.44  # and selection function PSelectComplexPreferNEQ.
% 8.22/2.44  #
% 8.22/2.44  # Preprocessing time       : 0.021 s
% 8.22/2.44  # Presaturation interreduction done
% 8.22/2.44  
% 8.22/2.44  # Proof found!
% 8.22/2.44  # SZS status Theorem
% 8.22/2.44  # SZS output start CNFRefutation
% See solution above
% 8.22/2.44  # Training examples: 0 positive, 0 negative
% 8.22/2.44  
% 8.22/2.44  # -------------------------------------------------
% 8.22/2.44  # User time                : 0.046 s
% 8.22/2.44  # System time              : 0.004 s
% 8.22/2.44  # Total time               : 0.050 s
% 8.22/2.44  # Maximum resident set size: 7120 pages
% 8.22/2.44  
%------------------------------------------------------------------------------