TSTP Solution File: KRS175+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : KRS175+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n032.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 02:56:01 EDT 2022

% Result   : Theorem 4.34s 2.14s
% Output   : CNFRefutation 4.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   56 (  10 unt;  21 nHn;  54 RR)
%            Number of literals    :  157 (  36 equ;  77 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   20 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_17,plain,
    ( cB(X1)
    | X1 != ib ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-w306tta6/lgb.p',i_0_17) ).

cnf(i_0_12,plain,
    ( cA(X1)
    | X1 != ia ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-w306tta6/lgb.p',i_0_12) ).

cnf(i_0_14,plain,
    ( cA_and_B(X1)
    | ~ cB(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-w306tta6/lgb.p',i_0_14) ).

cnf(i_0_24,negated_conjecture,
    ( esk3_0 = ia
    | esk3_0 = ib
    | cA_and_B(esk3_0)
    | cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | ~ xsd_string(esk2_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-w306tta6/lgb.p',i_0_24) ).

cnf(i_0_8,plain,
    ~ cowlNothing(X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-w306tta6/lgb.p',i_0_8) ).

cnf(i_0_10,plain,
    ( xsd_integer(X1)
    | xsd_string(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-w306tta6/lgb.p',i_0_10) ).

cnf(i_0_15,plain,
    ( cA_and_B(X1)
    | ~ cA(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-w306tta6/lgb.p',i_0_15) ).

cnf(i_0_21,negated_conjecture,
    ( esk3_0 = ia
    | esk3_0 = ib
    | cA_and_B(esk3_0)
    | cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | ~ xsd_integer(esk2_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-w306tta6/lgb.p',i_0_21) ).

cnf(i_0_11,plain,
    ( ~ xsd_integer(X1)
    | ~ xsd_string(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-w306tta6/lgb.p',i_0_11) ).

cnf(i_0_26,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | esk3_0 != ib
    | ~ cA_and_B(esk3_0)
    | ~ xsd_string(esk2_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-w306tta6/lgb.p',i_0_26) ).

cnf(i_0_23,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | esk3_0 != ib
    | ~ cA_and_B(esk3_0)
    | ~ xsd_integer(esk2_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-w306tta6/lgb.p',i_0_23) ).

cnf(i_0_25,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | esk3_0 != ia
    | ~ cA_and_B(esk3_0)
    | ~ xsd_string(esk2_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-w306tta6/lgb.p',i_0_25) ).

cnf(i_0_22,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | esk3_0 != ia
    | ~ cA_and_B(esk3_0)
    | ~ xsd_integer(esk2_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-w306tta6/lgb.p',i_0_22) ).

cnf(i_0_18,plain,
    ( X1 = ib
    | ~ cB(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-w306tta6/lgb.p',i_0_18) ).

cnf(i_0_13,plain,
    ( X1 = ia
    | ~ cA(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-w306tta6/lgb.p',i_0_13) ).

cnf(i_0_16,plain,
    ( cA(X1)
    | cB(X1)
    | ~ cA_and_B(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-w306tta6/lgb.p',i_0_16) ).

cnf(c_0_43,plain,
    ( cB(X1)
    | X1 != ib ),
    i_0_17 ).

cnf(c_0_44,plain,
    ( cA(X1)
    | X1 != ia ),
    i_0_12 ).

cnf(c_0_45,plain,
    ( cA_and_B(X1)
    | ~ cB(X1) ),
    i_0_14 ).

cnf(c_0_46,plain,
    cB(ib),
    inference(er,[status(thm)],[c_0_43]) ).

cnf(c_0_47,negated_conjecture,
    ( esk3_0 = ia
    | esk3_0 = ib
    | cA_and_B(esk3_0)
    | cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | ~ xsd_string(esk2_0) ),
    i_0_24 ).

cnf(c_0_48,plain,
    ~ cowlNothing(X1),
    i_0_8 ).

cnf(c_0_49,plain,
    ( xsd_integer(X1)
    | xsd_string(X1) ),
    i_0_10 ).

cnf(c_0_50,plain,
    ( cA_and_B(X1)
    | ~ cA(X1) ),
    i_0_15 ).

cnf(c_0_51,plain,
    cA(ia),
    inference(er,[status(thm)],[c_0_44]) ).

cnf(c_0_52,plain,
    cA_and_B(ib),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_53,negated_conjecture,
    ( ib = esk3_0
    | ia = esk3_0
    | xsd_integer(esk2_0)
    | cA_and_B(esk3_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).

cnf(c_0_54,plain,
    cA_and_B(ia),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_55,negated_conjecture,
    ( ia = esk3_0
    | xsd_integer(esk2_0)
    | cA_and_B(esk3_0) ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_56,negated_conjecture,
    ( esk3_0 = ia
    | esk3_0 = ib
    | cA_and_B(esk3_0)
    | cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | ~ xsd_integer(esk2_0) ),
    i_0_21 ).

cnf(c_0_57,plain,
    ( ~ xsd_integer(X1)
    | ~ xsd_string(X1) ),
    i_0_11 ).

cnf(c_0_58,plain,
    ( xsd_integer(esk2_0)
    | cA_and_B(esk3_0) ),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_59,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | esk3_0 != ib
    | ~ cA_and_B(esk3_0)
    | ~ xsd_string(esk2_0) ),
    i_0_26 ).

cnf(c_0_60,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | esk3_0 != ib
    | ~ cA_and_B(esk3_0)
    | ~ xsd_integer(esk2_0) ),
    i_0_23 ).

cnf(c_0_61,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | esk3_0 != ia
    | ~ cA_and_B(esk3_0)
    | ~ xsd_string(esk2_0) ),
    i_0_25 ).

cnf(c_0_62,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | esk3_0 != ia
    | ~ cA_and_B(esk3_0)
    | ~ xsd_integer(esk2_0) ),
    i_0_22 ).

cnf(c_0_63,negated_conjecture,
    ( ib = esk3_0
    | ia = esk3_0
    | xsd_string(esk2_0)
    | cA_and_B(esk3_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_56,c_0_48]),c_0_49]) ).

cnf(c_0_64,plain,
    ( cA_and_B(esk3_0)
    | ~ xsd_string(esk2_0) ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_65,negated_conjecture,
    ( xsd_integer(esk2_0)
    | ib != esk3_0
    | ~ xsd_string(esk2_0)
    | ~ cA_and_B(esk3_0) ),
    inference(sr,[status(thm)],[c_0_59,c_0_48]) ).

cnf(c_0_66,negated_conjecture,
    ( ib != esk3_0
    | ~ xsd_integer(esk2_0)
    | ~ cA_and_B(esk3_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_60,c_0_48]),c_0_57]) ).

cnf(c_0_67,negated_conjecture,
    ( xsd_integer(esk2_0)
    | ia != esk3_0
    | ~ xsd_string(esk2_0)
    | ~ cA_and_B(esk3_0) ),
    inference(sr,[status(thm)],[c_0_61,c_0_48]) ).

cnf(c_0_68,negated_conjecture,
    ( ia != esk3_0
    | ~ xsd_integer(esk2_0)
    | ~ cA_and_B(esk3_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_62,c_0_48]),c_0_57]) ).

cnf(c_0_69,plain,
    ( X1 = ib
    | ~ cB(X1) ),
    i_0_18 ).

cnf(c_0_70,negated_conjecture,
    ( ia = esk3_0
    | cA_and_B(esk3_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_63]),c_0_64]) ).

cnf(c_0_71,plain,
    ( X1 = ia
    | ~ cA(X1) ),
    i_0_13 ).

cnf(c_0_72,negated_conjecture,
    ( ib != esk3_0
    | ~ xsd_string(esk2_0)
    | ~ cA_and_B(esk3_0) ),
    inference(csr,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_73,negated_conjecture,
    ( ia != esk3_0
    | ~ xsd_string(esk2_0)
    | ~ cA_and_B(esk3_0) ),
    inference(csr,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_74,negated_conjecture,
    ( ~ cB(esk3_0)
    | ~ xsd_integer(esk2_0) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_69])]),c_0_45]) ).

cnf(c_0_75,plain,
    ( cA(X1)
    | cB(X1)
    | ~ cA_and_B(X1) ),
    i_0_16 ).

cnf(c_0_76,plain,
    cA_and_B(esk3_0),
    inference(spm,[status(thm)],[c_0_54,c_0_70]) ).

cnf(c_0_77,negated_conjecture,
    ( ~ cA(esk3_0)
    | ~ xsd_integer(esk2_0) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_71])]),c_0_50]) ).

cnf(c_0_78,negated_conjecture,
    ( ~ cB(esk3_0)
    | ~ xsd_string(esk2_0) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_69])]),c_0_45]) ).

cnf(c_0_79,negated_conjecture,
    ( ~ cA(esk3_0)
    | ~ xsd_string(esk2_0) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_71])]),c_0_50]) ).

cnf(c_0_80,plain,
    ~ xsd_integer(esk2_0),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76])]),c_0_77]) ).

cnf(c_0_81,plain,
    ~ xsd_string(esk2_0),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_75]),c_0_76])]),c_0_79]) ).

cnf(c_0_82,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_49]),c_0_81]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem  : KRS175+1 : TPTP v8.1.0. Released v3.1.0.
% 0.05/0.09  % Command  : enigmatic-eprover.py %s %d 1
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit : 300
% 0.09/0.28  % WCLimit  : 600
% 0.09/0.28  % DateTime : Tue Jun  7 10:25:37 EDT 2022
% 0.09/0.28  % CPUTime  : 
% 0.14/0.37  # ENIGMATIC: Selected complete mode:
% 4.34/2.14  # ENIGMATIC: Solved by autoschedule-lgb:
% 4.34/2.14  # No SInE strategy applied
% 4.34/2.14  # Trying AutoSched0 for 150 seconds
% 4.34/2.14  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2SA
% 4.34/2.14  # and selection function SelectNewComplexAHP.
% 4.34/2.14  #
% 4.34/2.14  # Preprocessing time       : 0.014 s
% 4.34/2.14  # Presaturation interreduction done
% 4.34/2.14  
% 4.34/2.14  # Proof found!
% 4.34/2.14  # SZS status Theorem
% 4.34/2.14  # SZS output start CNFRefutation
% See solution above
% 4.34/2.14  # Training examples: 0 positive, 0 negative
% 4.34/2.14  
% 4.34/2.14  # -------------------------------------------------
% 4.34/2.14  # User time                : 0.017 s
% 4.34/2.14  # System time              : 0.003 s
% 4.34/2.14  # Total time               : 0.019 s
% 4.34/2.14  # Maximum resident set size: 7120 pages
% 4.34/2.14  
%------------------------------------------------------------------------------