TSTP Solution File: KRS170+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : KRS170+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n023.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 02:56:00 EDT 2022

% Result   : Theorem 7.25s 2.28s
% Output   : CNFRefutation 7.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   47 (   9 unt;  28 nHn;  45 RR)
%            Number of literals    :  144 (   0 equ;  57 neg)
%            Maximal clause size   :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   14 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_14,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | rhasLeader(esk3_0,esk4_0)
    | rhasHead(esk5_0,esk6_0)
    | ~ xsd_string(esk2_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tmhzocaf/lgb.p',i_0_14) ).

cnf(i_0_1,plain,
    ~ cowlNothing(X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tmhzocaf/lgb.p',i_0_1) ).

cnf(i_0_3,plain,
    ( xsd_string(X1)
    | xsd_integer(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tmhzocaf/lgb.p',i_0_3) ).

cnf(i_0_13,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | rhasLeader(esk3_0,esk4_0)
    | ~ xsd_string(esk2_0)
    | ~ rhasLeader(esk5_0,esk6_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tmhzocaf/lgb.p',i_0_13) ).

cnf(i_0_5,plain,
    ( rhasLeader(X1,X2)
    | ~ rhasHead(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tmhzocaf/lgb.p',i_0_5) ).

cnf(i_0_12,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | rhasHead(esk5_0,esk6_0)
    | ~ xsd_string(esk2_0)
    | ~ rhasHead(esk3_0,esk4_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tmhzocaf/lgb.p',i_0_12) ).

cnf(i_0_6,plain,
    ( rhasHead(X1,X2)
    | ~ rhasLeader(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tmhzocaf/lgb.p',i_0_6) ).

cnf(i_0_11,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | ~ xsd_string(esk2_0)
    | ~ rhasLeader(esk5_0,esk6_0)
    | ~ rhasHead(esk3_0,esk4_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tmhzocaf/lgb.p',i_0_11) ).

cnf(i_0_10,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | rhasLeader(esk3_0,esk4_0)
    | rhasHead(esk5_0,esk6_0)
    | ~ xsd_integer(esk2_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tmhzocaf/lgb.p',i_0_10) ).

cnf(i_0_9,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | rhasLeader(esk3_0,esk4_0)
    | ~ xsd_integer(esk2_0)
    | ~ rhasLeader(esk5_0,esk6_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tmhzocaf/lgb.p',i_0_9) ).

cnf(i_0_4,plain,
    ( ~ xsd_string(X1)
    | ~ xsd_integer(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tmhzocaf/lgb.p',i_0_4) ).

cnf(i_0_7,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | ~ xsd_integer(esk2_0)
    | ~ rhasLeader(esk5_0,esk6_0)
    | ~ rhasHead(esk3_0,esk4_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tmhzocaf/lgb.p',i_0_7) ).

cnf(i_0_8,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | rhasHead(esk5_0,esk6_0)
    | ~ xsd_integer(esk2_0)
    | ~ rhasHead(esk3_0,esk4_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tmhzocaf/lgb.p',i_0_8) ).

cnf(c_0_28,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | rhasLeader(esk3_0,esk4_0)
    | rhasHead(esk5_0,esk6_0)
    | ~ xsd_string(esk2_0) ),
    i_0_14 ).

cnf(c_0_29,plain,
    ~ cowlNothing(X1),
    i_0_1 ).

cnf(c_0_30,plain,
    ( xsd_string(X1)
    | xsd_integer(X1) ),
    i_0_3 ).

cnf(c_0_31,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | rhasLeader(esk3_0,esk4_0)
    | ~ xsd_string(esk2_0)
    | ~ rhasLeader(esk5_0,esk6_0) ),
    i_0_13 ).

cnf(c_0_32,plain,
    ( rhasLeader(X1,X2)
    | ~ rhasHead(X1,X2) ),
    i_0_5 ).

cnf(c_0_33,negated_conjecture,
    ( rhasHead(esk5_0,esk6_0)
    | rhasLeader(esk3_0,esk4_0)
    | xsd_integer(esk2_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).

cnf(c_0_34,negated_conjecture,
    ( rhasLeader(esk3_0,esk4_0)
    | xsd_integer(esk2_0)
    | ~ rhasLeader(esk5_0,esk6_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_31,c_0_29]),c_0_30]) ).

cnf(c_0_35,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | rhasHead(esk5_0,esk6_0)
    | ~ xsd_string(esk2_0)
    | ~ rhasHead(esk3_0,esk4_0) ),
    i_0_12 ).

cnf(c_0_36,plain,
    ( rhasHead(X1,X2)
    | ~ rhasLeader(X1,X2) ),
    i_0_6 ).

cnf(c_0_37,plain,
    ( rhasLeader(esk3_0,esk4_0)
    | xsd_integer(esk2_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]) ).

cnf(c_0_38,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | ~ xsd_string(esk2_0)
    | ~ rhasLeader(esk5_0,esk6_0)
    | ~ rhasHead(esk3_0,esk4_0) ),
    i_0_11 ).

cnf(c_0_39,negated_conjecture,
    ( rhasHead(esk5_0,esk6_0)
    | xsd_integer(esk2_0)
    | ~ rhasHead(esk3_0,esk4_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_35,c_0_29]),c_0_30]) ).

cnf(c_0_40,plain,
    ( rhasHead(esk3_0,esk4_0)
    | xsd_integer(esk2_0) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_41,negated_conjecture,
    ( xsd_integer(esk2_0)
    | ~ xsd_string(esk2_0)
    | ~ rhasHead(esk3_0,esk4_0)
    | ~ rhasLeader(esk5_0,esk6_0) ),
    inference(sr,[status(thm)],[c_0_38,c_0_29]) ).

cnf(c_0_42,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | rhasLeader(esk3_0,esk4_0)
    | rhasHead(esk5_0,esk6_0)
    | ~ xsd_integer(esk2_0) ),
    i_0_10 ).

cnf(c_0_43,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | rhasLeader(esk3_0,esk4_0)
    | ~ xsd_integer(esk2_0)
    | ~ rhasLeader(esk5_0,esk6_0) ),
    i_0_9 ).

cnf(c_0_44,negated_conjecture,
    ( rhasHead(esk5_0,esk6_0)
    | xsd_integer(esk2_0) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_45,negated_conjecture,
    ( xsd_integer(esk2_0)
    | ~ rhasLeader(esk5_0,esk6_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_40]),c_0_30]) ).

cnf(c_0_46,negated_conjecture,
    ( xsd_string(esk2_0)
    | rhasHead(esk5_0,esk6_0)
    | rhasLeader(esk3_0,esk4_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_42,c_0_29]),c_0_30]) ).

cnf(c_0_47,negated_conjecture,
    ( xsd_string(esk2_0)
    | rhasLeader(esk3_0,esk4_0)
    | ~ rhasLeader(esk5_0,esk6_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_43,c_0_29]),c_0_30]) ).

cnf(c_0_48,plain,
    ( ~ xsd_string(X1)
    | ~ xsd_integer(X1) ),
    i_0_4 ).

cnf(c_0_49,plain,
    xsd_integer(esk2_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_44]),c_0_45]) ).

cnf(c_0_50,plain,
    ( xsd_string(esk2_0)
    | rhasLeader(esk3_0,esk4_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_46]),c_0_47]) ).

cnf(c_0_51,plain,
    ~ xsd_string(esk2_0),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_52,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | ~ xsd_integer(esk2_0)
    | ~ rhasLeader(esk5_0,esk6_0)
    | ~ rhasHead(esk3_0,esk4_0) ),
    i_0_7 ).

cnf(c_0_53,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | rhasHead(esk5_0,esk6_0)
    | ~ xsd_integer(esk2_0)
    | ~ rhasHead(esk3_0,esk4_0) ),
    i_0_8 ).

cnf(c_0_54,plain,
    rhasLeader(esk3_0,esk4_0),
    inference(sr,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_55,negated_conjecture,
    ( xsd_string(esk2_0)
    | ~ rhasHead(esk3_0,esk4_0)
    | ~ rhasLeader(esk5_0,esk6_0)
    | ~ xsd_integer(esk2_0) ),
    inference(sr,[status(thm)],[c_0_52,c_0_29]) ).

cnf(c_0_56,negated_conjecture,
    ( xsd_string(esk2_0)
    | rhasHead(esk5_0,esk6_0)
    | ~ rhasHead(esk3_0,esk4_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_53,c_0_29]),c_0_30]) ).

cnf(c_0_57,plain,
    rhasHead(esk3_0,esk4_0),
    inference(spm,[status(thm)],[c_0_36,c_0_54]) ).

cnf(c_0_58,negated_conjecture,
    ( xsd_string(esk2_0)
    | ~ rhasHead(esk3_0,esk4_0)
    | ~ rhasLeader(esk5_0,esk6_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_49])]) ).

cnf(c_0_59,negated_conjecture,
    rhasHead(esk5_0,esk6_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_57])]),c_0_51]) ).

cnf(c_0_60,negated_conjecture,
    ~ rhasLeader(esk5_0,esk6_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_57])]),c_0_51]) ).

cnf(c_0_61,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_59]),c_0_60]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : KRS170+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n023.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  7 15:23:10 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected complete mode:
% 7.25/2.28  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.25/2.28  # No SInE strategy applied
% 7.25/2.28  # Trying AutoSched0 for 150 seconds
% 7.25/2.28  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_AE_CS_SP_PI_S0a
% 7.25/2.28  # and selection function SelectNegativeLiterals.
% 7.25/2.28  #
% 7.25/2.28  # Preprocessing time       : 0.023 s
% 7.25/2.28  
% 7.25/2.28  # Proof found!
% 7.25/2.28  # SZS status Theorem
% 7.25/2.28  # SZS output start CNFRefutation
% See solution above
% 7.25/2.28  # Training examples: 0 positive, 0 negative
% 7.25/2.28  
% 7.25/2.28  # -------------------------------------------------
% 7.25/2.28  # User time                : 0.025 s
% 7.25/2.28  # System time              : 0.003 s
% 7.25/2.28  # Total time               : 0.028 s
% 7.25/2.28  # Maximum resident set size: 7120 pages
% 7.25/2.28  
%------------------------------------------------------------------------------