TSTP Solution File: SWV409+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWV409+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n025.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 17:47:08 EDT 2022

% Result   : Theorem 7.30s 2.26s
% Output   : CNFRefutation 7.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   30 (  11 unt;   6 nHn;  27 RR)
%            Number of literals    :   67 (   0 equ;  35 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-4 aty)
%            Number of variables   :   44 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_27,lemma,
    ( pair_in_list(X1,X2,esk5_2(X1,X2))
    | ~ contains_slb(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ihyhudzj/lgb.p',i_0_27) ).

cnf(i_0_23,negated_conjecture,
    contains_slb(esk1_0,esk2_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ihyhudzj/lgb.p',i_0_23) ).

cnf(i_0_24,lemma,
    ( pair_in_list(update_slb(X1,X2),X3,X2)
    | ~ strictly_less_than(X4,X2)
    | ~ strictly_less_than(X3,X2)
    | ~ pair_in_list(X1,X3,X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ihyhudzj/lgb.p',i_0_24) ).

cnf(i_0_29,plain,
    ( strictly_less_than(X1,X2)
    | less_than(X2,X1)
    | ~ less_than(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ihyhudzj/lgb.p',i_0_29) ).

cnf(i_0_32,plain,
    ( less_than(X1,X2)
    | less_than(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ihyhudzj/lgb.p',i_0_32) ).

cnf(i_0_26,lemma,
    ( pair_in_list(update_slb(X1,X2),X3,esk4_4(X1,X3,X4,X2))
    | ~ strictly_less_than(X3,X2)
    | ~ less_than(X2,X4)
    | ~ pair_in_list(X1,X3,X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ihyhudzj/lgb.p',i_0_26) ).

cnf(i_0_22,negated_conjecture,
    strictly_less_than(esk2_0,esk3_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ihyhudzj/lgb.p',i_0_22) ).

cnf(i_0_21,negated_conjecture,
    ~ pair_in_list(update_slb(esk1_0,esk3_0),esk2_0,esk3_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ihyhudzj/lgb.p',i_0_21) ).

cnf(i_0_25,lemma,
    ( less_than(X1,esk4_4(X2,X3,X4,X1))
    | ~ strictly_less_than(X3,X1)
    | ~ less_than(X1,X4)
    | ~ pair_in_list(X2,X3,X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ihyhudzj/lgb.p',i_0_25) ).

cnf(i_0_20,negated_conjecture,
    ( ~ less_than(esk3_0,X1)
    | ~ pair_in_list(update_slb(esk1_0,esk3_0),esk2_0,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ihyhudzj/lgb.p',i_0_20) ).

cnf(c_0_43,lemma,
    ( pair_in_list(X1,X2,esk5_2(X1,X2))
    | ~ contains_slb(X1,X2) ),
    i_0_27 ).

cnf(c_0_44,negated_conjecture,
    contains_slb(esk1_0,esk2_0),
    i_0_23 ).

cnf(c_0_45,lemma,
    ( pair_in_list(update_slb(X1,X2),X3,X2)
    | ~ strictly_less_than(X4,X2)
    | ~ strictly_less_than(X3,X2)
    | ~ pair_in_list(X1,X3,X4) ),
    i_0_24 ).

cnf(c_0_46,negated_conjecture,
    pair_in_list(esk1_0,esk2_0,esk5_2(esk1_0,esk2_0)),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_47,plain,
    ( strictly_less_than(X1,X2)
    | less_than(X2,X1)
    | ~ less_than(X1,X2) ),
    i_0_29 ).

cnf(c_0_48,plain,
    ( less_than(X1,X2)
    | less_than(X2,X1) ),
    i_0_32 ).

cnf(c_0_49,negated_conjecture,
    ( pair_in_list(update_slb(esk1_0,X1),esk2_0,X1)
    | ~ strictly_less_than(esk5_2(esk1_0,esk2_0),X1)
    | ~ strictly_less_than(esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_50,plain,
    ( strictly_less_than(X1,X2)
    | less_than(X2,X1) ),
    inference(csr,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_51,lemma,
    ( pair_in_list(update_slb(X1,X2),X3,esk4_4(X1,X3,X4,X2))
    | ~ strictly_less_than(X3,X2)
    | ~ less_than(X2,X4)
    | ~ pair_in_list(X1,X3,X4) ),
    i_0_26 ).

cnf(c_0_52,plain,
    ( less_than(X1,esk5_2(esk1_0,esk2_0))
    | pair_in_list(update_slb(esk1_0,X1),esk2_0,X1)
    | ~ strictly_less_than(esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_53,negated_conjecture,
    strictly_less_than(esk2_0,esk3_0),
    i_0_22 ).

cnf(c_0_54,negated_conjecture,
    ~ pair_in_list(update_slb(esk1_0,esk3_0),esk2_0,esk3_0),
    i_0_21 ).

cnf(c_0_55,lemma,
    ( less_than(X1,esk4_4(X2,X3,X4,X1))
    | ~ strictly_less_than(X3,X1)
    | ~ less_than(X1,X4)
    | ~ pair_in_list(X2,X3,X4) ),
    i_0_25 ).

cnf(c_0_56,negated_conjecture,
    ( pair_in_list(update_slb(esk1_0,X1),esk2_0,esk4_4(esk1_0,esk2_0,esk5_2(esk1_0,esk2_0),X1))
    | ~ strictly_less_than(esk2_0,X1)
    | ~ less_than(X1,esk5_2(esk1_0,esk2_0)) ),
    inference(spm,[status(thm)],[c_0_51,c_0_46]) ).

cnf(c_0_57,negated_conjecture,
    less_than(esk3_0,esk5_2(esk1_0,esk2_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]) ).

cnf(c_0_58,negated_conjecture,
    ( less_than(X1,esk4_4(esk1_0,esk2_0,esk5_2(esk1_0,esk2_0),X1))
    | ~ strictly_less_than(esk2_0,X1)
    | ~ less_than(X1,esk5_2(esk1_0,esk2_0)) ),
    inference(spm,[status(thm)],[c_0_55,c_0_46]) ).

cnf(c_0_59,negated_conjecture,
    ( ~ less_than(esk3_0,X1)
    | ~ pair_in_list(update_slb(esk1_0,esk3_0),esk2_0,X1) ),
    i_0_20 ).

cnf(c_0_60,negated_conjecture,
    pair_in_list(update_slb(esk1_0,esk3_0),esk2_0,esk4_4(esk1_0,esk2_0,esk5_2(esk1_0,esk2_0),esk3_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_53])]) ).

cnf(c_0_61,negated_conjecture,
    less_than(esk3_0,esk4_4(esk1_0,esk2_0,esk5_2(esk1_0,esk2_0),esk3_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_57]),c_0_53])]) ).

cnf(c_0_62,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV409+1 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n025.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 Jun 14 17:18:26 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 0.18/0.45  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.30/2.26  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.30/2.26  # No SInE strategy applied
% 7.30/2.26  # Trying AutoSched0 for 150 seconds
% 7.30/2.26  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S011A
% 7.30/2.26  # and selection function PSelectDiffNegLit.
% 7.30/2.26  #
% 7.30/2.26  # Preprocessing time       : 0.013 s
% 7.30/2.26  # Presaturation interreduction done
% 7.30/2.26  
% 7.30/2.26  # Proof found!
% 7.30/2.26  # SZS status Theorem
% 7.30/2.26  # SZS output start CNFRefutation
% See solution above
% 7.30/2.26  # Training examples: 0 positive, 0 negative
% 7.30/2.26  
% 7.30/2.26  # -------------------------------------------------
% 7.30/2.26  # User time                : 0.015 s
% 7.30/2.26  # System time              : 0.007 s
% 7.30/2.26  # Total time               : 0.021 s
% 7.30/2.26  # Maximum resident set size: 7132 pages
% 7.30/2.26  
%------------------------------------------------------------------------------