TSTP Solution File: PUZ030-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : PUZ030-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n028.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  : 300s
% DateTime : Tue Aug 22 10:54:03 EDT 2023

% Result   : Unsatisfiable 5.16s 2.32s
% Output   : CNFRefutation 5.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   51
% Syntax   : Number of formulae    :  386 ( 247 unt;  10 typ;   0 def)
%            Number of atoms       :  559 (   0 equ)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives :  429 ( 246   ~; 183   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   46 (;  46   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ salt > oneof > neither > mustard > both > #nlpp > mill > lang > dix > cole > barry

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(neither,type,
    neither: $i > $o ).

tff(lang,type,
    lang: $i ).

tff(mustard,type,
    mustard: $i > $o ).

tff(barry,type,
    barry: $i ).

tff(dix,type,
    dix: $i ).

tff(both,type,
    both: $i > $o ).

tff(mill,type,
    mill: $i ).

tff(salt,type,
    salt: $i > $o ).

tff(cole,type,
    cole: $i ).

tff(oneof,type,
    oneof: $i > $o ).

tff(f_152,axiom,
    ( ~ both(dix)
    | mustard(cole) ),
    file(unknown,unknown) ).

tff(f_208,axiom,
    ( ~ neither(cole)
    | mustard(lang) ),
    file(unknown,unknown) ).

tff(f_184,axiom,
    ( ~ neither(mill)
    | mustard(dix) ),
    file(unknown,unknown) ).

tff(f_204,axiom,
    ( ~ mustard(lang)
    | neither(cole)
    | neither(mill) ),
    file(unknown,unknown) ).

tff(f_180,axiom,
    ( ~ neither(lang)
    | mustard(dix) ),
    file(unknown,unknown) ).

tff(f_100,axiom,
    ! [X] :
      ( salt(X)
      | mustard(X)
      | neither(X) ),
    file(unknown,unknown) ).

tff(f_194,axiom,
    ( ~ oneof(barry)
    | salt(lang) ),
    file(unknown,unknown) ).

tff(f_240,axiom,
    ( ~ oneof(dix)
    | mustard(mill) ),
    file(unknown,unknown) ).

tff(f_190,axiom,
    ( ~ salt(lang)
    | oneof(barry)
    | oneof(dix) ),
    file(unknown,unknown) ).

tff(f_55,axiom,
    ! [X] :
      ( ~ oneof(X)
      | ~ both(X) ),
    file(unknown,unknown) ).

tff(f_124,axiom,
    ( ~ neither(dix)
    | mustard(barry) ),
    file(unknown,unknown) ).

tff(f_67,axiom,
    ! [X] :
      ( both(X)
      | neither(X)
      | oneof(X) ),
    file(unknown,unknown) ).

tff(f_170,axiom,
    ( ~ both(cole)
    | salt(dix) ),
    file(unknown,unknown) ).

tff(f_110,axiom,
    ( ~ oneof(cole)
    | salt(barry) ),
    file(unknown,unknown) ).

tff(f_42,axiom,
    ! [X] :
      ( ~ salt(X)
      | ~ mustard(X)
      | both(X) ),
    file(unknown,unknown) ).

tff(f_94,axiom,
    ! [X] :
      ( ~ neither(X)
      | ~ mustard(X) ),
    file(unknown,unknown) ).

tff(f_34,axiom,
    ! [X] :
      ( ~ both(X)
      | mustard(X) ),
    file(unknown,unknown) ).

tff(f_156,axiom,
    ( ~ both(lang)
    | mustard(cole) ),
    file(unknown,unknown) ).

tff(f_148,axiom,
    ( ~ mustard(cole)
    | both(dix)
    | both(lang) ),
    file(unknown,unknown) ).

tff(f_128,axiom,
    ( ~ both(mill)
    | mustard(barry) ),
    file(unknown,unknown) ).

tff(f_222,axiom,
    ( ~ both(barry)
    | salt(mill) ),
    file(unknown,unknown) ).

tff(f_166,axiom,
    ( ~ neither(barry)
    | salt(dix) ),
    file(unknown,unknown) ).

tff(f_138,axiom,
    ( ~ oneof(barry)
    | salt(cole) ),
    file(unknown,unknown) ).

tff(f_120,axiom,
    ( ~ mustard(barry)
    | neither(dix)
    | both(mill) ),
    file(unknown,unknown) ).

tff(f_88,axiom,
    ! [X] :
      ( ~ neither(X)
      | ~ salt(X) ),
    file(unknown,unknown) ).

tff(f_29,axiom,
    ! [X] :
      ( ~ both(X)
      | salt(X) ),
    file(unknown,unknown) ).

tff(f_114,axiom,
    ( ~ oneof(lang)
    | salt(barry) ),
    file(unknown,unknown) ).

tff(f_106,axiom,
    ( ~ salt(barry)
    | oneof(cole)
    | oneof(lang) ),
    file(unknown,unknown) ).

tff(f_260,axiom,
    ( ~ neither(cole)
    | ~ neither(dix)
    | ~ both(barry)
    | ~ oneof(lang)
    | ~ salt(mill)
    | ~ mustard(lang)
    | ~ oneof(mill) ),
    file(unknown,unknown) ).

tff(f_232,axiom,
    ( ~ mustard(mill)
    | oneof(cole)
    | oneof(dix) ),
    file(unknown,unknown) ).

tff(f_61,axiom,
    ! [X] :
      ( ~ oneof(X)
      | ~ neither(X) ),
    file(unknown,unknown) ).

tff(f_236,axiom,
    ( ~ oneof(cole)
    | mustard(mill) ),
    file(unknown,unknown) ).

tff(f_212,axiom,
    ( ~ neither(mill)
    | mustard(lang) ),
    file(unknown,unknown) ).

tff(f_82,axiom,
    ! [X] :
      ( ~ both(X)
      | ~ neither(X) ),
    file(unknown,unknown) ).

tff(f_218,axiom,
    ( ~ salt(mill)
    | both(barry)
    | both(lang) ),
    file(unknown,unknown) ).

tff(f_226,axiom,
    ( ~ both(lang)
    | mustard(mill) ),
    file(unknown,unknown) ).

tff(f_162,axiom,
    ( ~ salt(dix)
    | neither(barry)
    | both(cole) ),
    file(unknown,unknown) ).

tff(f_134,axiom,
    ( ~ salt(cole)
    | oneof(barry)
    | neither(mill) ),
    file(unknown,unknown) ).

tff(f_176,axiom,
    ( ~ mustard(dix)
    | neither(lang)
    | neither(mill) ),
    file(unknown,unknown) ).

tff(f_76,axiom,
    ! [X] :
      ( ~ oneof(X)
      | ~ salt(X)
      | ~ mustard(X) ),
    file(unknown,unknown) ).

tff(f_198,axiom,
    ( ~ oneof(dix)
    | salt(lang) ),
    file(unknown,unknown) ).

tff(c_46,plain,
    ( mustard(cole)
    | ~ both(dix) ),
    inference(cnfTransformation,[status(thm)],[f_152]) ).

tff(c_88,plain,
    ~ both(dix),
    inference(splitLeft,[status(thm)],[c_46]) ).

tff(c_70,plain,
    ( mustard(lang)
    | ~ neither(cole) ),
    inference(cnfTransformation,[status(thm)],[f_208]) ).

tff(c_94,plain,
    ~ neither(cole),
    inference(splitLeft,[status(thm)],[c_70]) ).

tff(c_60,plain,
    ( mustard(dix)
    | ~ neither(mill) ),
    inference(cnfTransformation,[status(thm)],[f_184]) ).

tff(c_92,plain,
    ~ neither(mill),
    inference(splitLeft,[status(thm)],[c_60]) ).

tff(c_68,plain,
    ( neither(mill)
    | neither(cole)
    | ~ mustard(lang) ),
    inference(cnfTransformation,[status(thm)],[f_204]) ).

tff(c_439,plain,
    ~ mustard(lang),
    inference(negUnitSimplification,[status(thm)],[c_94,c_92,c_68]) ).

tff(c_58,plain,
    ( mustard(dix)
    | ~ neither(lang) ),
    inference(cnfTransformation,[status(thm)],[f_180]) ).

tff(c_97,plain,
    ~ neither(lang),
    inference(splitLeft,[status(thm)],[c_58]) ).

tff(c_24,plain,
    ! [X_12] :
      ( neither(X_12)
      | mustard(X_12)
      | salt(X_12) ),
    inference(cnfTransformation,[status(thm)],[f_100]) ).

tff(c_64,plain,
    ( salt(lang)
    | ~ oneof(barry) ),
    inference(cnfTransformation,[status(thm)],[f_194]) ).

tff(c_374,plain,
    ~ oneof(barry),
    inference(splitLeft,[status(thm)],[c_64]) ).

tff(c_84,plain,
    ( mustard(mill)
    | ~ oneof(dix) ),
    inference(cnfTransformation,[status(thm)],[f_240]) ).

tff(c_87,plain,
    ~ oneof(dix),
    inference(splitLeft,[status(thm)],[c_84]) ).

tff(c_62,plain,
    ( oneof(dix)
    | oneof(barry)
    | ~ salt(lang) ),
    inference(cnfTransformation,[status(thm)],[f_190]) ).

tff(c_444,plain,
    ~ salt(lang),
    inference(negUnitSimplification,[status(thm)],[c_374,c_87,c_62]) ).

tff(c_447,plain,
    ( neither(lang)
    | mustard(lang) ),
    inference(resolution,[status(thm)],[c_24,c_444]) ).

tff(c_454,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_439,c_97,c_447]) ).

tff(c_456,plain,
    oneof(barry),
    inference(splitRight,[status(thm)],[c_64]) ).

tff(c_10,plain,
    ! [X_5] :
      ( ~ both(X_5)
      | ~ oneof(X_5) ),
    inference(cnfTransformation,[status(thm)],[f_55]) ).

tff(c_467,plain,
    ~ both(barry),
    inference(resolution,[status(thm)],[c_456,c_10]) ).

tff(c_34,plain,
    ( mustard(barry)
    | ~ neither(dix) ),
    inference(cnfTransformation,[status(thm)],[f_124]) ).

tff(c_476,plain,
    ~ neither(dix),
    inference(splitLeft,[status(thm)],[c_34]) ).

tff(c_491,plain,
    ! [X_40] :
      ( oneof(X_40)
      | neither(X_40)
      | both(X_40) ),
    inference(cnfTransformation,[status(thm)],[f_67]) ).

tff(c_500,plain,
    ( neither(dix)
    | both(dix) ),
    inference(resolution,[status(thm)],[c_491,c_87]) ).

tff(c_506,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_88,c_476,c_500]) ).

tff(c_507,plain,
    mustard(barry),
    inference(splitRight,[status(thm)],[c_34]) ).

tff(c_54,plain,
    ( salt(dix)
    | ~ both(cole) ),
    inference(cnfTransformation,[status(thm)],[f_170]) ).

tff(c_96,plain,
    ~ both(cole),
    inference(splitLeft,[status(thm)],[c_54]) ).

tff(c_337,plain,
    ! [X_33] :
      ( oneof(X_33)
      | neither(X_33)
      | both(X_33) ),
    inference(cnfTransformation,[status(thm)],[f_67]) ).

tff(c_28,plain,
    ( salt(barry)
    | ~ oneof(cole) ),
    inference(cnfTransformation,[status(thm)],[f_110]) ).

tff(c_100,plain,
    ~ oneof(cole),
    inference(splitLeft,[status(thm)],[c_28]) ).

tff(c_340,plain,
    ( neither(cole)
    | both(cole) ),
    inference(resolution,[status(thm)],[c_337,c_100]) ).

tff(c_353,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_96,c_94,c_340]) ).

tff(c_354,plain,
    salt(barry),
    inference(splitRight,[status(thm)],[c_28]) ).

tff(c_527,plain,
    ! [X_41] :
      ( both(X_41)
      | ~ mustard(X_41)
      | ~ salt(X_41) ),
    inference(cnfTransformation,[status(thm)],[f_42]) ).

tff(c_539,plain,
    ( both(barry)
    | ~ mustard(barry) ),
    inference(resolution,[status(thm)],[c_354,c_527]) ).

tff(c_549,plain,
    both(barry),
    inference(demodulation,[status(thm),theory(equality)],[c_507,c_539]) ).

tff(c_551,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_467,c_549]) ).

tff(c_552,plain,
    mustard(dix),
    inference(splitRight,[status(thm)],[c_58]) ).

tff(c_723,plain,
    ~ neither(dix),
    inference(splitLeft,[status(thm)],[c_34]) ).

tff(c_812,plain,
    ! [X_57] :
      ( oneof(X_57)
      | neither(X_57)
      | both(X_57) ),
    inference(cnfTransformation,[status(thm)],[f_67]) ).

tff(c_827,plain,
    ( neither(dix)
    | both(dix) ),
    inference(resolution,[status(thm)],[c_812,c_87]) ).

tff(c_839,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_88,c_723,c_827]) ).

tff(c_841,plain,
    neither(dix),
    inference(splitRight,[status(thm)],[c_34]) ).

tff(c_22,plain,
    ! [X_11] :
      ( ~ mustard(X_11)
      | ~ neither(X_11) ),
    inference(cnfTransformation,[status(thm)],[f_94]) ).

tff(c_844,plain,
    ~ mustard(dix),
    inference(resolution,[status(thm)],[c_841,c_22]) ).

tff(c_851,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_552,c_844]) ).

tff(c_853,plain,
    both(cole),
    inference(splitRight,[status(thm)],[c_54]) ).

tff(c_4,plain,
    ! [X_2] :
      ( mustard(X_2)
      | ~ both(X_2) ),
    inference(cnfTransformation,[status(thm)],[f_34]) ).

tff(c_48,plain,
    ( mustard(cole)
    | ~ both(lang) ),
    inference(cnfTransformation,[status(thm)],[f_156]) ).

tff(c_89,plain,
    ~ both(lang),
    inference(splitLeft,[status(thm)],[c_48]) ).

tff(c_44,plain,
    ( both(lang)
    | both(dix)
    | ~ mustard(cole) ),
    inference(cnfTransformation,[status(thm)],[f_148]) ).

tff(c_930,plain,
    ~ mustard(cole),
    inference(negUnitSimplification,[status(thm)],[c_88,c_89,c_44]) ).

tff(c_933,plain,
    ~ both(cole),
    inference(resolution,[status(thm)],[c_4,c_930]) ).

tff(c_937,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_853,c_933]) ).

tff(c_939,plain,
    neither(cole),
    inference(splitRight,[status(thm)],[c_70]) ).

tff(c_36,plain,
    ( mustard(barry)
    | ~ both(mill) ),
    inference(cnfTransformation,[status(thm)],[f_128]) ).

tff(c_1226,plain,
    ~ both(mill),
    inference(splitLeft,[status(thm)],[c_36]) ).

tff(c_14,plain,
    ! [X_7] :
      ( oneof(X_7)
      | neither(X_7)
      | both(X_7) ),
    inference(cnfTransformation,[status(thm)],[f_67]) ).

tff(c_76,plain,
    ( salt(mill)
    | ~ both(barry) ),
    inference(cnfTransformation,[status(thm)],[f_222]) ).

tff(c_1243,plain,
    ~ both(barry),
    inference(splitLeft,[status(thm)],[c_76]) ).

tff(c_52,plain,
    ( salt(dix)
    | ~ neither(barry) ),
    inference(cnfTransformation,[status(thm)],[f_166]) ).

tff(c_91,plain,
    ~ neither(barry),
    inference(splitLeft,[status(thm)],[c_52]) ).

tff(c_1267,plain,
    ! [X_84] :
      ( oneof(X_84)
      | neither(X_84)
      | both(X_84) ),
    inference(cnfTransformation,[status(thm)],[f_67]) ).

tff(c_40,plain,
    ( salt(cole)
    | ~ oneof(barry) ),
    inference(cnfTransformation,[status(thm)],[f_138]) ).

tff(c_1228,plain,
    ~ oneof(barry),
    inference(splitLeft,[status(thm)],[c_40]) ).

tff(c_1270,plain,
    ( neither(barry)
    | both(barry) ),
    inference(resolution,[status(thm)],[c_1267,c_1228]) ).

tff(c_1286,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1243,c_91,c_1270]) ).

tff(c_1288,plain,
    both(barry),
    inference(splitRight,[status(thm)],[c_76]) ).

tff(c_1227,plain,
    ~ neither(dix),
    inference(splitLeft,[status(thm)],[c_34]) ).

tff(c_32,plain,
    ( both(mill)
    | neither(dix)
    | ~ mustard(barry) ),
    inference(cnfTransformation,[status(thm)],[f_120]) ).

tff(c_1298,plain,
    ~ mustard(barry),
    inference(negUnitSimplification,[status(thm)],[c_1227,c_1226,c_32]) ).

tff(c_1301,plain,
    ~ both(barry),
    inference(resolution,[status(thm)],[c_4,c_1298]) ).

tff(c_1305,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1288,c_1301]) ).

tff(c_1306,plain,
    salt(cole),
    inference(splitRight,[status(thm)],[c_40]) ).

tff(c_1325,plain,
    ! [X_87] :
      ( ~ salt(X_87)
      | ~ neither(X_87) ),
    inference(cnfTransformation,[status(thm)],[f_88]) ).

tff(c_1331,plain,
    ~ neither(cole),
    inference(resolution,[status(thm)],[c_1306,c_1325]) ).

tff(c_1342,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_939,c_1331]) ).

tff(c_1344,plain,
    neither(dix),
    inference(splitRight,[status(thm)],[c_34]) ).

tff(c_1372,plain,
    ~ both(barry),
    inference(splitLeft,[status(thm)],[c_76]) ).

tff(c_1505,plain,
    ! [X_94] :
      ( oneof(X_94)
      | neither(X_94)
      | both(X_94) ),
    inference(cnfTransformation,[status(thm)],[f_67]) ).

tff(c_1371,plain,
    ~ oneof(barry),
    inference(splitLeft,[status(thm)],[c_64]) ).

tff(c_1508,plain,
    ( neither(barry)
    | both(barry) ),
    inference(resolution,[status(thm)],[c_1505,c_1371]) ).

tff(c_1524,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1372,c_91,c_1508]) ).

tff(c_1526,plain,
    both(barry),
    inference(splitRight,[status(thm)],[c_76]) ).

tff(c_1083,plain,
    ~ both(barry),
    inference(splitLeft,[status(thm)],[c_76]) ).

tff(c_1117,plain,
    ! [X_77] :
      ( oneof(X_77)
      | neither(X_77)
      | both(X_77) ),
    inference(cnfTransformation,[status(thm)],[f_67]) ).

tff(c_1082,plain,
    ~ oneof(barry),
    inference(splitLeft,[status(thm)],[c_64]) ).

tff(c_1120,plain,
    ( neither(barry)
    | both(barry) ),
    inference(resolution,[status(thm)],[c_1117,c_1082]) ).

tff(c_1139,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1083,c_91,c_1120]) ).

tff(c_1141,plain,
    both(barry),
    inference(splitRight,[status(thm)],[c_76]) ).

tff(c_2,plain,
    ! [X_1] :
      ( salt(X_1)
      | ~ both(X_1) ),
    inference(cnfTransformation,[status(thm)],[f_29]) ).

tff(c_953,plain,
    ~ oneof(cole),
    inference(splitLeft,[status(thm)],[c_28]) ).

tff(c_30,plain,
    ( salt(barry)
    | ~ oneof(lang) ),
    inference(cnfTransformation,[status(thm)],[f_114]) ).

tff(c_954,plain,
    ~ oneof(lang),
    inference(splitLeft,[status(thm)],[c_30]) ).

tff(c_26,plain,
    ( oneof(lang)
    | oneof(cole)
    | ~ salt(barry) ),
    inference(cnfTransformation,[status(thm)],[f_106]) ).

tff(c_1175,plain,
    ~ salt(barry),
    inference(negUnitSimplification,[status(thm)],[c_953,c_954,c_26]) ).

tff(c_1181,plain,
    ~ both(barry),
    inference(resolution,[status(thm)],[c_2,c_1175]) ).

tff(c_1187,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1141,c_1181]) ).

tff(c_1189,plain,
    oneof(barry),
    inference(splitRight,[status(thm)],[c_64]) ).

tff(c_1208,plain,
    salt(cole),
    inference(demodulation,[status(thm),theory(equality)],[c_1189,c_40]) ).

tff(c_20,plain,
    ! [X_10] :
      ( ~ salt(X_10)
      | ~ neither(X_10) ),
    inference(cnfTransformation,[status(thm)],[f_88]) ).

tff(c_1211,plain,
    ~ neither(cole),
    inference(resolution,[status(thm)],[c_1208,c_20]) ).

tff(c_1215,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_939,c_1211]) ).

tff(c_1217,plain,
    oneof(lang),
    inference(splitRight,[status(thm)],[c_30]) ).

tff(c_1525,plain,
    salt(mill),
    inference(splitRight,[status(thm)],[c_76]) ).

tff(c_938,plain,
    mustard(lang),
    inference(splitRight,[status(thm)],[c_70]) ).

tff(c_86,plain,
    ( ~ oneof(mill)
    | ~ mustard(lang)
    | ~ salt(mill)
    | ~ oneof(lang)
    | ~ both(barry)
    | ~ neither(dix)
    | ~ neither(cole) ),
    inference(cnfTransformation,[status(thm)],[f_260]) ).

tff(c_1684,plain,
    ~ oneof(mill),
    inference(demodulation,[status(thm),theory(equality)],[c_939,c_1344,c_1526,c_1217,c_1525,c_938,c_86]) ).

tff(c_1687,plain,
    ( neither(mill)
    | both(mill) ),
    inference(resolution,[status(thm)],[c_14,c_1684]) ).

tff(c_1691,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1226,c_92,c_1687]) ).

tff(c_1693,plain,
    oneof(barry),
    inference(splitRight,[status(thm)],[c_64]) ).

tff(c_1707,plain,
    salt(cole),
    inference(demodulation,[status(thm),theory(equality)],[c_1693,c_40]) ).

tff(c_1710,plain,
    ~ neither(cole),
    inference(resolution,[status(thm)],[c_1707,c_20]) ).

tff(c_1714,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_939,c_1710]) ).

tff(c_1716,plain,
    both(mill),
    inference(splitRight,[status(thm)],[c_36]) ).

tff(c_80,plain,
    ( oneof(dix)
    | oneof(cole)
    | ~ mustard(mill) ),
    inference(cnfTransformation,[status(thm)],[f_232]) ).

tff(c_1876,plain,
    ~ mustard(mill),
    inference(negUnitSimplification,[status(thm)],[c_953,c_87,c_80]) ).

tff(c_1879,plain,
    ~ both(mill),
    inference(resolution,[status(thm)],[c_4,c_1876]) ).

tff(c_1883,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1716,c_1879]) ).

tff(c_1885,plain,
    oneof(cole),
    inference(splitRight,[status(thm)],[c_28]) ).

tff(c_12,plain,
    ! [X_6] :
      ( ~ neither(X_6)
      | ~ oneof(X_6) ),
    inference(cnfTransformation,[status(thm)],[f_61]) ).

tff(c_1892,plain,
    ~ neither(cole),
    inference(resolution,[status(thm)],[c_1885,c_12]) ).

tff(c_1897,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_939,c_1892]) ).

tff(c_1899,plain,
    neither(mill),
    inference(splitRight,[status(thm)],[c_60]) ).

tff(c_2315,plain,
    ! [X_135] :
      ( ~ mustard(X_135)
      | ~ neither(X_135) ),
    inference(cnfTransformation,[status(thm)],[f_94]) ).

tff(c_2319,plain,
    ~ mustard(mill),
    inference(resolution,[status(thm)],[c_1899,c_2315]) ).

tff(c_1898,plain,
    mustard(dix),
    inference(splitRight,[status(thm)],[c_60]) ).

tff(c_1902,plain,
    ~ both(cole),
    inference(splitLeft,[status(thm)],[c_54]) ).

tff(c_2086,plain,
    ~ both(barry),
    inference(splitLeft,[status(thm)],[c_76]) ).

tff(c_2121,plain,
    ! [X_122] :
      ( oneof(X_122)
      | neither(X_122)
      | both(X_122) ),
    inference(cnfTransformation,[status(thm)],[f_67]) ).

tff(c_2084,plain,
    ~ oneof(barry),
    inference(splitLeft,[status(thm)],[c_64]) ).

tff(c_2124,plain,
    ( neither(barry)
    | both(barry) ),
    inference(resolution,[status(thm)],[c_2121,c_2084]) ).

tff(c_2140,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2086,c_91,c_2124]) ).

tff(c_2141,plain,
    salt(mill),
    inference(splitRight,[status(thm)],[c_76]) ).

tff(c_2145,plain,
    ~ neither(mill),
    inference(resolution,[status(thm)],[c_2141,c_20]) ).

tff(c_2149,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1899,c_2145]) ).

tff(c_2151,plain,
    oneof(barry),
    inference(splitRight,[status(thm)],[c_64]) ).

tff(c_2165,plain,
    salt(cole),
    inference(demodulation,[status(thm),theory(equality)],[c_2151,c_40]) ).

tff(c_2169,plain,
    ~ neither(cole),
    inference(resolution,[status(thm)],[c_2165,c_20]) ).

tff(c_2199,plain,
    ! [X_125] :
      ( oneof(X_125)
      | neither(X_125)
      | both(X_125) ),
    inference(cnfTransformation,[status(thm)],[f_67]) ).

tff(c_1901,plain,
    ~ oneof(cole),
    inference(splitLeft,[status(thm)],[c_28]) ).

tff(c_2202,plain,
    ( neither(cole)
    | both(cole) ),
    inference(resolution,[status(thm)],[c_2199,c_1901]) ).

tff(c_2215,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1902,c_2169,c_2202]) ).

tff(c_2216,plain,
    salt(dix),
    inference(splitRight,[status(thm)],[c_54]) ).

tff(c_2267,plain,
    ! [X_131] :
      ( both(X_131)
      | ~ mustard(X_131)
      | ~ salt(X_131) ),
    inference(cnfTransformation,[status(thm)],[f_42]) ).

tff(c_2276,plain,
    ( both(dix)
    | ~ mustard(dix) ),
    inference(resolution,[status(thm)],[c_2216,c_2267]) ).

tff(c_2282,plain,
    both(dix),
    inference(demodulation,[status(thm),theory(equality)],[c_1898,c_2276]) ).

tff(c_2284,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_88,c_2282]) ).

tff(c_2286,plain,
    oneof(cole),
    inference(splitRight,[status(thm)],[c_28]) ).

tff(c_82,plain,
    ( mustard(mill)
    | ~ oneof(cole) ),
    inference(cnfTransformation,[status(thm)],[f_236]) ).

tff(c_2326,plain,
    mustard(mill),
    inference(demodulation,[status(thm),theory(equality)],[c_2286,c_82]) ).

tff(c_2327,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2319,c_2326]) ).

tff(c_2329,plain,
    neither(barry),
    inference(splitRight,[status(thm)],[c_52]) ).

tff(c_2352,plain,
    ~ oneof(cole),
    inference(splitLeft,[status(thm)],[c_82]) ).

tff(c_72,plain,
    ( mustard(lang)
    | ~ neither(mill) ),
    inference(cnfTransformation,[status(thm)],[f_212]) ).

tff(c_2341,plain,
    ~ neither(mill),
    inference(splitLeft,[status(thm)],[c_72]) ).

tff(c_2388,plain,
    ! [X_144] :
      ( neither(X_144)
      | mustard(X_144)
      | salt(X_144) ),
    inference(cnfTransformation,[status(thm)],[f_100]) ).

tff(c_2345,plain,
    ! [X_140] :
      ( ~ neither(X_140)
      | ~ both(X_140) ),
    inference(cnfTransformation,[status(thm)],[f_82]) ).

tff(c_2349,plain,
    ~ both(barry),
    inference(resolution,[status(thm)],[c_2329,c_2345]) ).

tff(c_74,plain,
    ( both(lang)
    | both(barry)
    | ~ salt(mill) ),
    inference(cnfTransformation,[status(thm)],[f_218]) ).

tff(c_2370,plain,
    ~ salt(mill),
    inference(negUnitSimplification,[status(thm)],[c_2349,c_89,c_74]) ).

tff(c_2391,plain,
    ( neither(mill)
    | mustard(mill) ),
    inference(resolution,[status(thm)],[c_2388,c_2370]) ).

tff(c_2397,plain,
    mustard(mill),
    inference(negUnitSimplification,[status(thm)],[c_2341,c_2391]) ).

tff(c_2400,plain,
    ( oneof(dix)
    | oneof(cole) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2397,c_80]) ).

tff(c_2401,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2352,c_87,c_2400]) ).

tff(c_2403,plain,
    oneof(cole),
    inference(splitRight,[status(thm)],[c_82]) ).

tff(c_2418,plain,
    salt(barry),
    inference(demodulation,[status(thm),theory(equality)],[c_2403,c_28]) ).

tff(c_2421,plain,
    ~ neither(barry),
    inference(resolution,[status(thm)],[c_2418,c_20]) ).

tff(c_2425,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_2329,c_2421]) ).

tff(c_2427,plain,
    neither(mill),
    inference(splitRight,[status(thm)],[c_72]) ).

tff(c_2463,plain,
    mustard(dix),
    inference(demodulation,[status(thm),theory(equality)],[c_2427,c_60]) ).

tff(c_2328,plain,
    salt(dix),
    inference(splitRight,[status(thm)],[c_52]) ).

tff(c_2472,plain,
    ! [X_150] :
      ( both(X_150)
      | ~ mustard(X_150)
      | ~ salt(X_150) ),
    inference(cnfTransformation,[status(thm)],[f_42]) ).

tff(c_2481,plain,
    ( both(dix)
    | ~ mustard(dix) ),
    inference(resolution,[status(thm)],[c_2328,c_2472]) ).

tff(c_2486,plain,
    both(dix),
    inference(demodulation,[status(thm),theory(equality)],[c_2463,c_2481]) ).

tff(c_2488,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_88,c_2486]) ).

tff(c_2489,plain,
    mustard(cole),
    inference(splitRight,[status(thm)],[c_48]) ).

tff(c_2490,plain,
    both(lang),
    inference(splitRight,[status(thm)],[c_48]) ).

tff(c_2493,plain,
    ~ neither(cole),
    inference(splitLeft,[status(thm)],[c_70]) ).

tff(c_2498,plain,
    ~ neither(mill),
    inference(splitLeft,[status(thm)],[c_72]) ).

tff(c_2835,plain,
    ~ mustard(lang),
    inference(negUnitSimplification,[status(thm)],[c_2493,c_2498,c_68]) ).

tff(c_2838,plain,
    ~ both(lang),
    inference(resolution,[status(thm)],[c_4,c_2835]) ).

tff(c_2842,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_2490,c_2838]) ).

tff(c_2844,plain,
    neither(mill),
    inference(splitRight,[status(thm)],[c_72]) ).

tff(c_2852,plain,
    ~ mustard(mill),
    inference(resolution,[status(thm)],[c_2844,c_22]) ).

tff(c_78,plain,
    ( mustard(mill)
    | ~ both(lang) ),
    inference(cnfTransformation,[status(thm)],[f_226]) ).

tff(c_2859,plain,
    mustard(mill),
    inference(demodulation,[status(thm),theory(equality)],[c_2490,c_78]) ).

tff(c_2860,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2852,c_2859]) ).

tff(c_2862,plain,
    neither(cole),
    inference(splitRight,[status(thm)],[c_70]) ).

tff(c_2863,plain,
    ! [X_172] :
      ( ~ mustard(X_172)
      | ~ neither(X_172) ),
    inference(cnfTransformation,[status(thm)],[f_94]) ).

tff(c_2866,plain,
    ~ mustard(cole),
    inference(resolution,[status(thm)],[c_2862,c_2863]) ).

tff(c_2870,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_2489,c_2866]) ).

tff(c_2872,plain,
    both(dix),
    inference(splitRight,[status(thm)],[c_46]) ).

tff(c_2873,plain,
    ~ neither(barry),
    inference(splitLeft,[status(thm)],[c_52]) ).

tff(c_3270,plain,
    ~ both(cole),
    inference(splitLeft,[status(thm)],[c_54]) ).

tff(c_50,plain,
    ( both(cole)
    | neither(barry)
    | ~ salt(dix) ),
    inference(cnfTransformation,[status(thm)],[f_162]) ).

tff(c_3271,plain,
    ~ salt(dix),
    inference(negUnitSimplification,[status(thm)],[c_2873,c_3270,c_50]) ).

tff(c_3274,plain,
    ~ both(dix),
    inference(resolution,[status(thm)],[c_2,c_3271]) ).

tff(c_3278,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_2872,c_3274]) ).

tff(c_3280,plain,
    both(cole),
    inference(splitRight,[status(thm)],[c_54]) ).

tff(c_3250,plain,
    ~ oneof(barry),
    inference(splitLeft,[status(thm)],[c_64]) ).

tff(c_2879,plain,
    ~ neither(mill),
    inference(splitLeft,[status(thm)],[c_72]) ).

tff(c_38,plain,
    ( neither(mill)
    | oneof(barry)
    | ~ salt(cole) ),
    inference(cnfTransformation,[status(thm)],[f_134]) ).

tff(c_3303,plain,
    ~ salt(cole),
    inference(negUnitSimplification,[status(thm)],[c_3250,c_2879,c_38]) ).

tff(c_3306,plain,
    ~ both(cole),
    inference(resolution,[status(thm)],[c_2,c_3303]) ).

tff(c_3310,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_3280,c_3306]) ).

tff(c_3311,plain,
    salt(lang),
    inference(splitRight,[status(thm)],[c_64]) ).

tff(c_3316,plain,
    ~ neither(lang),
    inference(resolution,[status(thm)],[c_3311,c_20]) ).

tff(c_56,plain,
    ( neither(mill)
    | neither(lang)
    | ~ mustard(dix) ),
    inference(cnfTransformation,[status(thm)],[f_176]) ).

tff(c_3517,plain,
    ~ mustard(dix),
    inference(negUnitSimplification,[status(thm)],[c_3316,c_2879,c_56]) ).

tff(c_3520,plain,
    ~ both(dix),
    inference(resolution,[status(thm)],[c_4,c_3517]) ).

tff(c_3524,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_2872,c_3520]) ).

tff(c_3526,plain,
    neither(mill),
    inference(splitRight,[status(thm)],[c_72]) ).

tff(c_3530,plain,
    ~ mustard(mill),
    inference(resolution,[status(thm)],[c_3526,c_22]) ).

tff(c_3534,plain,
    mustard(dix),
    inference(demodulation,[status(thm),theory(equality)],[c_3526,c_60]) ).

tff(c_3759,plain,
    ~ neither(dix),
    inference(splitLeft,[status(thm)],[c_34]) ).

tff(c_3535,plain,
    ! [X_195] :
      ( mustard(X_195)
      | ~ both(X_195) ),
    inference(cnfTransformation,[status(thm)],[f_34]) ).

tff(c_3539,plain,
    ~ both(mill),
    inference(resolution,[status(thm)],[c_3535,c_3530]) ).

tff(c_3863,plain,
    ! [X_209] :
      ( neither(X_209)
      | mustard(X_209)
      | salt(X_209) ),
    inference(cnfTransformation,[status(thm)],[f_100]) ).

tff(c_3546,plain,
    ~ oneof(cole),
    inference(splitLeft,[status(thm)],[c_28]) ).

tff(c_3531,plain,
    ~ oneof(lang),
    inference(splitLeft,[status(thm)],[c_30]) ).

tff(c_3855,plain,
    ~ salt(barry),
    inference(negUnitSimplification,[status(thm)],[c_3546,c_3531,c_26]) ).

tff(c_3866,plain,
    ( neither(barry)
    | mustard(barry) ),
    inference(resolution,[status(thm)],[c_3863,c_3855]) ).

tff(c_3872,plain,
    mustard(barry),
    inference(negUnitSimplification,[status(thm)],[c_2873,c_3866]) ).

tff(c_3921,plain,
    ( both(mill)
    | neither(dix) ),
    inference(demodulation,[status(thm),theory(equality)],[c_3872,c_32]) ).

tff(c_3922,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_3759,c_3539,c_3921]) ).

tff(c_3924,plain,
    neither(dix),
    inference(splitRight,[status(thm)],[c_34]) ).

tff(c_3927,plain,
    ~ mustard(dix),
    inference(resolution,[status(thm)],[c_3924,c_22]) ).

tff(c_3931,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_3534,c_3927]) ).

tff(c_3933,plain,
    oneof(cole),
    inference(splitRight,[status(thm)],[c_28]) ).

tff(c_3947,plain,
    mustard(mill),
    inference(demodulation,[status(thm),theory(equality)],[c_3933,c_82]) ).

tff(c_3948,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_3530,c_3947]) ).

tff(c_3950,plain,
    oneof(lang),
    inference(splitRight,[status(thm)],[c_30]) ).

tff(c_3525,plain,
    mustard(lang),
    inference(splitRight,[status(thm)],[c_72]) ).

tff(c_4041,plain,
    ~ both(barry),
    inference(splitLeft,[status(thm)],[c_76]) ).

tff(c_4084,plain,
    ! [X_221] :
      ( oneof(X_221)
      | neither(X_221)
      | both(X_221) ),
    inference(cnfTransformation,[status(thm)],[f_67]) ).

tff(c_4039,plain,
    ~ oneof(barry),
    inference(splitLeft,[status(thm)],[c_40]) ).

tff(c_4090,plain,
    ( neither(barry)
    | both(barry) ),
    inference(resolution,[status(thm)],[c_4084,c_4039]) ).

tff(c_4106,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_4041,c_2873,c_4090]) ).

tff(c_4107,plain,
    salt(mill),
    inference(splitRight,[status(thm)],[c_76]) ).

tff(c_4116,plain,
    ~ neither(mill),
    inference(resolution,[status(thm)],[c_4107,c_20]) ).

tff(c_4120,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_3526,c_4116]) ).

tff(c_4122,plain,
    oneof(barry),
    inference(splitRight,[status(thm)],[c_40]) ).

tff(c_4145,plain,
    salt(lang),
    inference(demodulation,[status(thm),theory(equality)],[c_4122,c_64]) ).

tff(c_4160,plain,
    ! [X_225] :
      ( ~ mustard(X_225)
      | ~ salt(X_225)
      | ~ oneof(X_225) ),
    inference(cnfTransformation,[status(thm)],[f_76]) ).

tff(c_4166,plain,
    ( ~ mustard(lang)
    | ~ oneof(lang) ),
    inference(resolution,[status(thm)],[c_4145,c_4160]) ).

tff(c_4183,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_3950,c_3525,c_4166]) ).

tff(c_4185,plain,
    neither(barry),
    inference(splitRight,[status(thm)],[c_52]) ).

tff(c_4210,plain,
    ~ oneof(barry),
    inference(splitLeft,[status(thm)],[c_40]) ).

tff(c_4193,plain,
    ~ neither(mill),
    inference(splitLeft,[status(thm)],[c_72]) ).

tff(c_4276,plain,
    ~ salt(cole),
    inference(negUnitSimplification,[status(thm)],[c_4210,c_4193,c_38]) ).

tff(c_4280,plain,
    ~ both(cole),
    inference(resolution,[status(thm)],[c_2,c_4276]) ).

tff(c_4218,plain,
    ~ neither(lang),
    inference(splitLeft,[status(thm)],[c_58]) ).

tff(c_4239,plain,
    ~ mustard(dix),
    inference(negUnitSimplification,[status(thm)],[c_4218,c_4193,c_56]) ).

tff(c_4242,plain,
    ~ both(dix),
    inference(resolution,[status(thm)],[c_4,c_4239]) ).

tff(c_4246,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_2872,c_4242]) ).

tff(c_4248,plain,
    neither(lang),
    inference(splitRight,[status(thm)],[c_58]) ).

tff(c_4256,plain,
    ~ mustard(lang),
    inference(resolution,[status(thm)],[c_4248,c_22]) ).

tff(c_4261,plain,
    ~ neither(cole),
    inference(negUnitSimplification,[status(thm)],[c_4256,c_70]) ).

tff(c_4315,plain,
    ! [X_236] :
      ( oneof(X_236)
      | neither(X_236)
      | both(X_236) ),
    inference(cnfTransformation,[status(thm)],[f_67]) ).

tff(c_4262,plain,
    ~ oneof(cole),
    inference(splitLeft,[status(thm)],[c_28]) ).

tff(c_4318,plain,
    ( neither(cole)
    | both(cole) ),
    inference(resolution,[status(thm)],[c_4315,c_4262]) ).

tff(c_4337,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_4280,c_4261,c_4318]) ).

tff(c_4338,plain,
    salt(barry),
    inference(splitRight,[status(thm)],[c_28]) ).

tff(c_4342,plain,
    ~ neither(barry),
    inference(resolution,[status(thm)],[c_4338,c_20]) ).

tff(c_4346,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_4185,c_4342]) ).

tff(c_4348,plain,
    oneof(barry),
    inference(splitRight,[status(thm)],[c_40]) ).

tff(c_4355,plain,
    ~ neither(barry),
    inference(resolution,[status(thm)],[c_4348,c_12]) ).

tff(c_4359,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_4185,c_4355]) ).

tff(c_4360,plain,
    mustard(lang),
    inference(splitRight,[status(thm)],[c_72]) ).

tff(c_4361,plain,
    neither(mill),
    inference(splitRight,[status(thm)],[c_72]) ).

tff(c_4365,plain,
    ~ mustard(mill),
    inference(resolution,[status(thm)],[c_4361,c_22]) ).

tff(c_4410,plain,
    ~ both(lang),
    inference(negUnitSimplification,[status(thm)],[c_4365,c_78]) ).

tff(c_4429,plain,
    ! [X_243] :
      ( oneof(X_243)
      | neither(X_243)
      | both(X_243) ),
    inference(cnfTransformation,[status(thm)],[f_67]) ).

tff(c_4402,plain,
    ~ oneof(lang),
    inference(splitLeft,[status(thm)],[c_30]) ).

tff(c_4432,plain,
    ( neither(lang)
    | both(lang) ),
    inference(resolution,[status(thm)],[c_4429,c_4402]) ).

tff(c_4450,plain,
    neither(lang),
    inference(negUnitSimplification,[status(thm)],[c_4410,c_4432]) ).

tff(c_4488,plain,
    ~ mustard(lang),
    inference(resolution,[status(thm)],[c_4450,c_22]) ).

tff(c_4493,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_4360,c_4488]) ).

tff(c_4494,plain,
    salt(barry),
    inference(splitRight,[status(thm)],[c_30]) ).

tff(c_4498,plain,
    ~ neither(barry),
    inference(resolution,[status(thm)],[c_4494,c_20]) ).

tff(c_4502,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_4185,c_4498]) ).

tff(c_4503,plain,
    mustard(mill),
    inference(splitRight,[status(thm)],[c_84]) ).

tff(c_4504,plain,
    oneof(dix),
    inference(splitRight,[status(thm)],[c_84]) ).

tff(c_66,plain,
    ( salt(lang)
    | ~ oneof(dix) ),
    inference(cnfTransformation,[status(thm)],[f_198]) ).

tff(c_4514,plain,
    salt(lang),
    inference(demodulation,[status(thm),theory(equality)],[c_4504,c_66]) ).

tff(c_4515,plain,
    ! [X_247] :
      ( ~ salt(X_247)
      | ~ neither(X_247) ),
    inference(cnfTransformation,[status(thm)],[f_88]) ).

tff(c_4519,plain,
    ~ neither(lang),
    inference(resolution,[status(thm)],[c_4514,c_4515]) ).

tff(c_4528,plain,
    ~ neither(mill),
    inference(splitLeft,[status(thm)],[c_72]) ).

tff(c_4995,plain,
    ~ mustard(dix),
    inference(negUnitSimplification,[status(thm)],[c_4519,c_4528,c_56]) ).

tff(c_4506,plain,
    ! [X_245] :
      ( ~ neither(X_245)
      | ~ oneof(X_245) ),
    inference(cnfTransformation,[status(thm)],[f_61]) ).

tff(c_4510,plain,
    ~ neither(dix),
    inference(resolution,[status(thm)],[c_4504,c_4506]) ).

tff(c_4526,plain,
    ~ neither(barry),
    inference(splitLeft,[status(thm)],[c_52]) ).

tff(c_4881,plain,
    ~ both(cole),
    inference(splitLeft,[status(thm)],[c_54]) ).

tff(c_5000,plain,
    ~ salt(dix),
    inference(negUnitSimplification,[status(thm)],[c_4526,c_4881,c_50]) ).

tff(c_5003,plain,
    ( neither(dix)
    | mustard(dix) ),
    inference(resolution,[status(thm)],[c_24,c_5000]) ).

tff(c_5010,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_4995,c_4510,c_5003]) ).

tff(c_5012,plain,
    both(cole),
    inference(splitRight,[status(thm)],[c_54]) ).

tff(c_4505,plain,
    ~ both(dix),
    inference(splitLeft,[status(thm)],[c_46]) ).

tff(c_4511,plain,
    ~ both(lang),
    inference(splitLeft,[status(thm)],[c_48]) ).

tff(c_5033,plain,
    ~ mustard(cole),
    inference(negUnitSimplification,[status(thm)],[c_4505,c_4511,c_44]) ).

tff(c_5036,plain,
    ~ both(cole),
    inference(resolution,[status(thm)],[c_4,c_5033]) ).

tff(c_5040,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_5012,c_5036]) ).

tff(c_5042,plain,
    neither(mill),
    inference(splitRight,[status(thm)],[c_72]) ).

tff(c_5048,plain,
    ~ mustard(mill),
    inference(resolution,[status(thm)],[c_5042,c_22]) ).

tff(c_5053,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_4503,c_5048]) ).

tff(c_5055,plain,
    neither(barry),
    inference(splitRight,[status(thm)],[c_52]) ).

tff(c_5105,plain,
    ! [X_270] :
      ( oneof(X_270)
      | neither(X_270)
      | both(X_270) ),
    inference(cnfTransformation,[status(thm)],[f_67]) ).

tff(c_5074,plain,
    ~ oneof(lang),
    inference(splitLeft,[status(thm)],[c_30]) ).

tff(c_5114,plain,
    ( neither(lang)
    | both(lang) ),
    inference(resolution,[status(thm)],[c_5105,c_5074]) ).

tff(c_5130,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_4511,c_4519,c_5114]) ).

tff(c_5131,plain,
    salt(barry),
    inference(splitRight,[status(thm)],[c_30]) ).

tff(c_5136,plain,
    ~ neither(barry),
    inference(resolution,[status(thm)],[c_5131,c_20]) ).

tff(c_5140,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_5055,c_5136]) ).

tff(c_5141,plain,
    mustard(cole),
    inference(splitRight,[status(thm)],[c_48]) ).

tff(c_5142,plain,
    both(lang),
    inference(splitRight,[status(thm)],[c_48]) ).

tff(c_5167,plain,
    ~ neither(cole),
    inference(splitLeft,[status(thm)],[c_70]) ).

tff(c_5146,plain,
    ~ neither(mill),
    inference(splitLeft,[status(thm)],[c_60]) ).

tff(c_5179,plain,
    ~ mustard(lang),
    inference(negUnitSimplification,[status(thm)],[c_5167,c_5146,c_68]) ).

tff(c_5182,plain,
    ~ both(lang),
    inference(resolution,[status(thm)],[c_4,c_5179]) ).

tff(c_5186,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_5142,c_5182]) ).

tff(c_5188,plain,
    neither(cole),
    inference(splitRight,[status(thm)],[c_70]) ).

tff(c_5196,plain,
    ~ mustard(cole),
    inference(resolution,[status(thm)],[c_5188,c_22]) ).

tff(c_5201,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_5141,c_5196]) ).

tff(c_5203,plain,
    neither(mill),
    inference(splitRight,[status(thm)],[c_60]) ).

tff(c_5204,plain,
    ! [X_277] :
      ( ~ mustard(X_277)
      | ~ neither(X_277) ),
    inference(cnfTransformation,[status(thm)],[f_94]) ).

tff(c_5207,plain,
    ~ mustard(mill),
    inference(resolution,[status(thm)],[c_5203,c_5204]) ).

tff(c_5211,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_4503,c_5207]) ).

tff(c_5213,plain,
    both(dix),
    inference(splitRight,[status(thm)],[c_46]) ).

tff(c_5227,plain,
    ! [X_281] :
      ( ~ both(X_281)
      | ~ oneof(X_281) ),
    inference(cnfTransformation,[status(thm)],[f_55]) ).

tff(c_5230,plain,
    ~ both(dix),
    inference(resolution,[status(thm)],[c_4504,c_5227]) ).

tff(c_5234,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_5213,c_5230]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : PUZ030-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.12  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.12/0.32  % Computer : n028.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Thu Aug  3 17:50:24 EDT 2023
% 0.12/0.32  % CPUTime  : 
% 5.16/2.32  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.16/2.35  
% 5.16/2.35  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.95/2.41  
% 5.95/2.41  Inference rules
% 5.95/2.41  ----------------------
% 5.95/2.41  #Ref     : 0
% 5.95/2.41  #Sup     : 867
% 5.95/2.41  #Fact    : 0
% 5.95/2.41  #Define  : 0
% 5.95/2.41  #Split   : 211
% 5.95/2.41  #Chain   : 0
% 5.95/2.41  #Close   : 0
% 5.95/2.41  
% 5.95/2.41  Ordering : KBO
% 5.95/2.41  
% 5.95/2.41  Simplification rules
% 5.95/2.41  ----------------------
% 5.95/2.41  #Subsume      : 666
% 5.95/2.41  #Demod        : 476
% 5.95/2.41  #Tautology    : 266
% 5.95/2.41  #SimpNegUnit  : 374
% 5.95/2.41  #BackRed      : 0
% 5.95/2.41  
% 5.95/2.41  #Partial instantiations: 0
% 5.95/2.41  #Strategies tried      : 1
% 5.95/2.41  
% 5.95/2.41  Timing (in seconds)
% 5.95/2.41  ----------------------
% 5.95/2.42  Preprocessing        : 0.46
% 5.95/2.42  Parsing              : 0.25
% 5.95/2.42  CNF conversion       : 0.03
% 5.95/2.42  Main loop            : 0.88
% 5.95/2.42  Inferencing          : 0.35
% 5.95/2.42  Reduction            : 0.21
% 5.95/2.42  Demodulation         : 0.12
% 5.95/2.42  BG Simplification    : 0.04
% 5.95/2.42  Subsumption          : 0.18
% 5.95/2.42  Abstraction          : 0.03
% 5.95/2.42  MUC search           : 0.00
% 5.95/2.42  Cooper               : 0.00
% 5.95/2.42  Total                : 1.45
% 5.95/2.42  Index Insertion      : 0.00
% 5.95/2.42  Index Deletion       : 0.00
% 5.95/2.42  Index Matching       : 0.00
% 5.95/2.42  BG Taut test         : 0.00
%------------------------------------------------------------------------------