TSTP Solution File: LCL650+1.001 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LCL650+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n020.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 09:29:38 EDT 2022

% Result   : Theorem 7.09s 2.30s
% Output   : CNFRefutation 7.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   48 (  12 unt;  17 nHn;  48 RR)
%            Number of literals    :  168 (   0 equ; 123 neg)
%            Maximal clause size   :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   84 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_14,negated_conjecture,
    ( ~ p3(X1)
    | ~ p1(X1)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1)
    | ~ r1(esk1_0,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g1rmh921/input.p',i_0_14) ).

cnf(i_0_22,negated_conjecture,
    r1(esk1_0,esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g1rmh921/input.p',i_0_22) ).

cnf(i_0_7,negated_conjecture,
    ( p2(X1)
    | p1(X1)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1)
    | ~ r1(esk1_0,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g1rmh921/input.p',i_0_7) ).

cnf(i_0_21,negated_conjecture,
    r1(esk2_0,esk3_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g1rmh921/input.p',i_0_21) ).

cnf(i_0_11,negated_conjecture,
    ( p2(X1)
    | p3(X1)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1)
    | ~ r1(esk1_0,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g1rmh921/input.p',i_0_11) ).

cnf(i_0_6,negated_conjecture,
    ( ~ p2(X1)
    | ~ p1(X1)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1)
    | ~ r1(esk1_0,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g1rmh921/input.p',i_0_6) ).

cnf(i_0_20,negated_conjecture,
    r1(esk3_0,esk4_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g1rmh921/input.p',i_0_20) ).

cnf(i_0_10,negated_conjecture,
    ( ~ p2(X1)
    | ~ p3(X1)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1)
    | ~ r1(esk1_0,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g1rmh921/input.p',i_0_10) ).

cnf(i_0_19,negated_conjecture,
    r1(esk4_0,esk5_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g1rmh921/input.p',i_0_19) ).

cnf(i_0_15,negated_conjecture,
    ( p3(X1)
    | p1(X1)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1)
    | ~ r1(esk1_0,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-g1rmh921/input.p',i_0_15) ).

cnf(c_0_33,negated_conjecture,
    ( ~ p3(X1)
    | ~ p1(X1)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1)
    | ~ r1(esk1_0,X2) ),
    i_0_14 ).

cnf(c_0_34,negated_conjecture,
    r1(esk1_0,esk2_0),
    i_0_22 ).

cnf(c_0_35,negated_conjecture,
    ( p2(X1)
    | p1(X1)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1)
    | ~ r1(esk1_0,X2) ),
    i_0_7 ).

cnf(c_0_36,negated_conjecture,
    ( ~ p1(X1)
    | ~ p3(X1)
    | ~ r1(esk2_0,X2)
    | ~ r1(X3,X1)
    | ~ r1(X2,X3) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_37,negated_conjecture,
    r1(esk2_0,esk3_0),
    i_0_21 ).

cnf(c_0_38,negated_conjecture,
    ( p1(X1)
    | p2(X1)
    | ~ r1(esk2_0,X2)
    | ~ r1(X3,X1)
    | ~ r1(X2,X3) ),
    inference(spm,[status(thm)],[c_0_35,c_0_34]) ).

cnf(c_0_39,negated_conjecture,
    ( p2(X1)
    | p3(X1)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1)
    | ~ r1(esk1_0,X2) ),
    i_0_11 ).

cnf(c_0_40,negated_conjecture,
    ( ~ p2(X1)
    | ~ p1(X1)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1)
    | ~ r1(esk1_0,X2) ),
    i_0_6 ).

cnf(c_0_41,negated_conjecture,
    ( ~ p1(X1)
    | ~ p3(X1)
    | ~ r1(esk3_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_42,negated_conjecture,
    r1(esk3_0,esk4_0),
    i_0_20 ).

cnf(c_0_43,negated_conjecture,
    ( p1(X1)
    | p2(X1)
    | ~ r1(esk3_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_37]) ).

cnf(c_0_44,negated_conjecture,
    ( p3(X1)
    | p2(X1)
    | ~ r1(esk2_0,X2)
    | ~ r1(X3,X1)
    | ~ r1(X2,X3) ),
    inference(spm,[status(thm)],[c_0_39,c_0_34]) ).

cnf(c_0_45,negated_conjecture,
    ( ~ p2(X1)
    | ~ p3(X1)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1)
    | ~ r1(esk1_0,X2) ),
    i_0_10 ).

cnf(c_0_46,negated_conjecture,
    ( ~ p1(X1)
    | ~ p2(X1)
    | ~ r1(esk2_0,X2)
    | ~ r1(X3,X1)
    | ~ r1(X2,X3) ),
    inference(spm,[status(thm)],[c_0_40,c_0_34]) ).

cnf(c_0_47,negated_conjecture,
    ( ~ p1(X1)
    | ~ p3(X1)
    | ~ r1(esk4_0,X1) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_48,negated_conjecture,
    r1(esk4_0,esk5_0),
    i_0_19 ).

cnf(c_0_49,negated_conjecture,
    ( p1(X1)
    | p2(X1)
    | ~ r1(esk4_0,X1) ),
    inference(spm,[status(thm)],[c_0_43,c_0_42]) ).

cnf(c_0_50,negated_conjecture,
    ( p3(X1)
    | p2(X1)
    | ~ r1(esk3_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_44,c_0_37]) ).

cnf(c_0_51,negated_conjecture,
    ( ~ p3(X1)
    | ~ p2(X1)
    | ~ r1(esk2_0,X2)
    | ~ r1(X3,X1)
    | ~ r1(X2,X3) ),
    inference(spm,[status(thm)],[c_0_45,c_0_34]) ).

cnf(c_0_52,negated_conjecture,
    ( p3(X1)
    | p1(X1)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1)
    | ~ r1(esk1_0,X2) ),
    i_0_15 ).

cnf(c_0_53,negated_conjecture,
    ( ~ p1(X1)
    | ~ p2(X1)
    | ~ r1(esk3_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_46,c_0_37]) ).

cnf(c_0_54,negated_conjecture,
    ( ~ p1(esk5_0)
    | ~ p3(esk5_0) ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_55,negated_conjecture,
    ( p1(esk5_0)
    | p2(esk5_0) ),
    inference(spm,[status(thm)],[c_0_49,c_0_48]) ).

cnf(c_0_56,negated_conjecture,
    ( p3(X1)
    | p2(X1)
    | ~ r1(esk4_0,X1) ),
    inference(spm,[status(thm)],[c_0_50,c_0_42]) ).

cnf(c_0_57,negated_conjecture,
    ( ~ p3(X1)
    | ~ p2(X1)
    | ~ r1(esk3_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_51,c_0_37]) ).

cnf(c_0_58,negated_conjecture,
    ( p1(X1)
    | p3(X1)
    | ~ r1(esk2_0,X2)
    | ~ r1(X3,X1)
    | ~ r1(X2,X3) ),
    inference(spm,[status(thm)],[c_0_52,c_0_34]) ).

cnf(c_0_59,negated_conjecture,
    ( ~ p1(X1)
    | ~ p2(X1)
    | ~ r1(esk4_0,X1) ),
    inference(spm,[status(thm)],[c_0_53,c_0_42]) ).

cnf(c_0_60,negated_conjecture,
    ( p2(esk5_0)
    | ~ p3(esk5_0) ),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_61,negated_conjecture,
    ( p3(esk5_0)
    | p2(esk5_0) ),
    inference(spm,[status(thm)],[c_0_56,c_0_48]) ).

cnf(c_0_62,negated_conjecture,
    ( ~ p3(X1)
    | ~ p2(X1)
    | ~ r1(esk4_0,X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_42]) ).

cnf(c_0_63,negated_conjecture,
    ( p1(X1)
    | p3(X1)
    | ~ r1(esk3_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_58,c_0_37]) ).

cnf(c_0_64,negated_conjecture,
    ( ~ p1(esk5_0)
    | ~ p2(esk5_0) ),
    inference(spm,[status(thm)],[c_0_59,c_0_48]) ).

cnf(c_0_65,negated_conjecture,
    p2(esk5_0),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_66,negated_conjecture,
    ( ~ p3(esk5_0)
    | ~ p2(esk5_0) ),
    inference(spm,[status(thm)],[c_0_62,c_0_48]) ).

cnf(c_0_67,negated_conjecture,
    ( p1(X1)
    | p3(X1)
    | ~ r1(esk4_0,X1) ),
    inference(spm,[status(thm)],[c_0_63,c_0_42]) ).

cnf(c_0_68,negated_conjecture,
    ~ p1(esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_65])]) ).

cnf(c_0_69,negated_conjecture,
    ~ p3(esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_65])]) ).

cnf(c_0_70,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_48]),c_0_68]),c_0_69]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : LCL650+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.11  % Command  : enigmatic-eprover.py %s %d 1
% 0.10/0.32  % Computer : n020.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 600
% 0.10/0.32  % DateTime : Sun Jul  3 10:34:02 EDT 2022
% 0.10/0.32  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 7.09/2.30  # ENIGMATIC: Solved by autoschedule:
% 7.09/2.30  # No SInE strategy applied
% 7.09/2.30  # Trying AutoSched0 for 150 seconds
% 7.09/2.30  # AutoSched0-Mode selected heuristic H_____011_C07_F1_PI_AE_Q4_SP_S0V
% 7.09/2.30  # and selection function PSelectComplexExceptRRHorn.
% 7.09/2.30  #
% 7.09/2.30  # Preprocessing time       : 0.023 s
% 7.09/2.30  
% 7.09/2.30  # Proof found!
% 7.09/2.30  # SZS status Theorem
% 7.09/2.30  # SZS output start CNFRefutation
% See solution above
% 7.09/2.30  # Training examples: 0 positive, 0 negative
% 7.09/2.30  
% 7.09/2.30  # -------------------------------------------------
% 7.09/2.30  # User time                : 0.025 s
% 7.09/2.30  # System time              : 0.008 s
% 7.09/2.30  # Total time               : 0.034 s
% 7.09/2.30  # Maximum resident set size: 7116 pages
% 7.09/2.30  
%------------------------------------------------------------------------------