TSTP Solution File: SWV488+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWV488+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n018.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 : Wed Jul 20 17:47:46 EDT 2022

% Result   : Theorem 8.39s 2.45s
% Output   : CNFRefutation 8.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   23 (  14 unt;   0 nHn;  22 RR)
%            Number of literals    :   45 (  11 equ;  27 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   20 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_18,negated_conjecture,
    a(esk2_0,esk3_0) = real_zero,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i57odll4/lgb.p',i_0_18) ).

cnf(i_0_19,negated_conjecture,
    esk3_0 = esk2_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i57odll4/lgb.p',i_0_19) ).

cnf(i_0_24,plain,
    ( a(X1,X1) = real_one
    | ~ int_leq(X1,X2)
    | ~ epred1_2(X3,X2)
    | ~ int_leq(int_one,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i57odll4/lgb.p',i_0_24) ).

cnf(i_0_22,negated_conjecture,
    int_leq(int_one,esk3_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i57odll4/lgb.p',i_0_22) ).

cnf(i_0_16,plain,
    real_one != real_zero,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i57odll4/lgb.p',i_0_16) ).

cnf(i_0_17,hypothesis,
    ( epred1_2(X1,X2)
    | ~ int_leq(X2,n)
    | ~ int_leq(X1,n)
    | ~ int_leq(int_one,X2)
    | ~ int_leq(int_one,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i57odll4/lgb.p',i_0_17) ).

cnf(i_0_1,plain,
    ( int_leq(X1,X2)
    | X1 != X2 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i57odll4/lgb.p',i_0_1) ).

cnf(i_0_20,negated_conjecture,
    int_leq(esk2_0,n),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i57odll4/lgb.p',i_0_20) ).

cnf(c_0_33,negated_conjecture,
    a(esk2_0,esk3_0) = real_zero,
    i_0_18 ).

cnf(c_0_34,negated_conjecture,
    esk3_0 = esk2_0,
    i_0_19 ).

cnf(c_0_35,plain,
    ( a(X1,X1) = real_one
    | ~ int_leq(X1,X2)
    | ~ epred1_2(X3,X2)
    | ~ int_leq(int_one,X1) ),
    i_0_24 ).

cnf(c_0_36,negated_conjecture,
    int_leq(int_one,esk3_0),
    i_0_22 ).

cnf(c_0_37,negated_conjecture,
    a(esk3_0,esk3_0) = real_zero,
    inference(rw,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_38,plain,
    real_one != real_zero,
    i_0_16 ).

cnf(c_0_39,negated_conjecture,
    ( ~ epred1_2(X1,X2)
    | ~ int_leq(esk3_0,X2) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]),c_0_38]) ).

cnf(c_0_40,hypothesis,
    ( epred1_2(X1,X2)
    | ~ int_leq(X2,n)
    | ~ int_leq(X1,n)
    | ~ int_leq(int_one,X2)
    | ~ int_leq(int_one,X1) ),
    i_0_17 ).

cnf(c_0_41,plain,
    ( int_leq(X1,X2)
    | X1 != X2 ),
    i_0_1 ).

cnf(c_0_42,negated_conjecture,
    int_leq(esk2_0,n),
    i_0_20 ).

cnf(c_0_43,hypothesis,
    ( ~ int_leq(esk3_0,X1)
    | ~ int_leq(X1,n)
    | ~ int_leq(X2,n)
    | ~ int_leq(int_one,X1)
    | ~ int_leq(int_one,X2) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_44,plain,
    int_leq(X1,X1),
    inference(er,[status(thm)],[c_0_41]) ).

cnf(c_0_45,negated_conjecture,
    int_leq(esk3_0,n),
    inference(rw,[status(thm)],[c_0_42,c_0_34]) ).

cnf(c_0_46,plain,
    ( ~ int_leq(X1,n)
    | ~ int_leq(int_one,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]),c_0_36])]) ).

cnf(c_0_47,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_45]),c_0_36])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWV488+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n018.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 : Thu Jun 16 00:38:17 EDT 2022
% 0.12/0.35  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 8.39/2.45  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.39/2.45  # No SInE strategy applied
% 8.39/2.45  # Trying AutoSched0 for 150 seconds
% 8.39/2.45  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 8.39/2.45  # and selection function SelectComplexExceptUniqMaxHorn.
% 8.39/2.45  #
% 8.39/2.45  # Preprocessing time       : 0.023 s
% 8.39/2.45  # Presaturation interreduction done
% 8.39/2.45  
% 8.39/2.45  # Proof found!
% 8.39/2.45  # SZS status Theorem
% 8.39/2.45  # SZS output start CNFRefutation
% See solution above
% 8.39/2.45  # Training examples: 0 positive, 0 negative
% 8.39/2.45  
% 8.39/2.45  # -------------------------------------------------
% 8.39/2.45  # User time                : 0.026 s
% 8.39/2.45  # System time              : 0.007 s
% 8.39/2.45  # Total time               : 0.033 s
% 8.39/2.45  # Maximum resident set size: 7128 pages
% 8.39/2.45  
%------------------------------------------------------------------------------