TSTP Solution File: PUZ028-6 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : PUZ028-6 : TPTP v8.1.2. Released v2.0.0.
% 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 : 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  : 300s
% DateTime : Tue Aug 22 10:54:03 EDT 2023

% Result   : Unsatisfiable 10.55s 3.64s
% Output   : CNFRefutation 11.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   49
% Syntax   : Number of formulae    :  516 ( 282 unt;  10 typ;   0 def)
%            Number of atoms       : 1282 (   0 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives : 1423 ( 647   ~; 776   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   4   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :  200 (; 200   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ not_familiar > not_equal > familiar > person > #nlpp > n6 > n5 > n4 > n3 > n2 > n1

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(not_familiar,type,
    not_familiar: ( $i * $i ) > $o ).

tff(n3,type,
    n3: $i ).

tff(n1,type,
    n1: $i ).

tff(familiar,type,
    familiar: ( $i * $i ) > $o ).

tff(n6,type,
    n6: $i ).

tff(n4,type,
    n4: $i ).

tff(not_equal,type,
    not_equal: ( $i * $i ) > $o ).

tff(n2,type,
    n2: $i ).

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

tff(n5,type,
    n5: $i ).

tff(f_24,axiom,
    person(n1),
    file(unknown,unknown) ).

tff(f_55,axiom,
    not_equal(n6,n1),
    file(unknown,unknown) ).

tff(f_31,axiom,
    not_equal(n1,n3),
    file(unknown,unknown) ).

tff(f_35,axiom,
    not_equal(n2,n1),
    file(unknown,unknown) ).

tff(f_30,axiom,
    not_equal(n1,n2),
    file(unknown,unknown) ).

tff(f_29,axiom,
    person(n6),
    file(unknown,unknown) ).

tff(f_25,axiom,
    person(n2),
    file(unknown,unknown) ).

tff(f_39,axiom,
    not_equal(n2,n6),
    file(unknown,unknown) ).

tff(f_72,axiom,
    ! [X,Y] :
      ( familiar(X,Y)
      | not_familiar(X,Y)
      | ~ person(X)
      | ~ person(Y)
      | ~ not_equal(X,Y) ),
    file(unknown,unknown) ).

tff(f_82,axiom,
    ! [X1,X2] :
      ( ~ not_familiar(X1,X2)
      | not_familiar(X2,X1) ),
    file(unknown,unknown) ).

tff(f_100,axiom,
    ! [X1,X2,X3] :
      ( ~ not_familiar(X1,X2)
      | ~ not_familiar(X2,X3)
      | ~ not_familiar(X3,X1) ),
    file(unknown,unknown) ).

tff(f_26,axiom,
    person(n3),
    file(unknown,unknown) ).

tff(f_44,axiom,
    not_equal(n3,n6),
    file(unknown,unknown) ).

tff(f_77,axiom,
    ! [X1,X2] :
      ( ~ familiar(X1,X2)
      | familiar(X2,X1) ),
    file(unknown,unknown) ).

tff(f_91,axiom,
    ! [X1,X2,X3] :
      ( ~ familiar(X1,X2)
      | ~ familiar(X2,X3)
      | ~ familiar(X3,X1) ),
    file(unknown,unknown) ).

tff(f_41,axiom,
    not_equal(n3,n2),
    file(unknown,unknown) ).

tff(f_28,axiom,
    person(n5),
    file(unknown,unknown) ).

tff(f_51,axiom,
    not_equal(n5,n2),
    file(unknown,unknown) ).

tff(f_52,axiom,
    not_equal(n5,n3),
    file(unknown,unknown) ).

tff(f_34,axiom,
    not_equal(n1,n6),
    file(unknown,unknown) ).

tff(f_54,axiom,
    not_equal(n5,n6),
    file(unknown,unknown) ).

tff(f_27,axiom,
    person(n4),
    file(unknown,unknown) ).

tff(f_46,axiom,
    not_equal(n4,n2),
    file(unknown,unknown) ).

tff(f_47,axiom,
    not_equal(n4,n3),
    file(unknown,unknown) ).

tff(f_45,axiom,
    not_equal(n4,n1),
    file(unknown,unknown) ).

tff(f_58,axiom,
    not_equal(n6,n4),
    file(unknown,unknown) ).

tff(f_33,axiom,
    not_equal(n1,n5),
    file(unknown,unknown) ).

tff(f_48,axiom,
    not_equal(n4,n5),
    file(unknown,unknown) ).

tff(f_43,axiom,
    not_equal(n3,n5),
    file(unknown,unknown) ).

tff(f_53,axiom,
    not_equal(n5,n4),
    file(unknown,unknown) ).

tff(f_49,axiom,
    not_equal(n4,n6),
    file(unknown,unknown) ).

tff(f_38,axiom,
    not_equal(n2,n5),
    file(unknown,unknown) ).

tff(f_59,axiom,
    not_equal(n6,n5),
    file(unknown,unknown) ).

tff(f_50,axiom,
    not_equal(n5,n1),
    file(unknown,unknown) ).

tff(f_40,axiom,
    not_equal(n3,n1),
    file(unknown,unknown) ).

tff(f_37,axiom,
    not_equal(n2,n4),
    file(unknown,unknown) ).

tff(f_32,axiom,
    not_equal(n1,n4),
    file(unknown,unknown) ).

tff(f_36,axiom,
    not_equal(n2,n3),
    file(unknown,unknown) ).

tff(f_56,axiom,
    not_equal(n6,n2),
    file(unknown,unknown) ).

tff(c_2,plain,
    person(n1),
    inference(cnfTransformation,[status(thm)],[f_24]) ).

tff(c_64,plain,
    not_equal(n6,n1),
    inference(cnfTransformation,[status(thm)],[f_55]) ).

tff(c_16,plain,
    not_equal(n1,n3),
    inference(cnfTransformation,[status(thm)],[f_31]) ).

tff(c_24,plain,
    not_equal(n2,n1),
    inference(cnfTransformation,[status(thm)],[f_35]) ).

tff(c_14,plain,
    not_equal(n1,n2),
    inference(cnfTransformation,[status(thm)],[f_30]) ).

tff(c_12,plain,
    person(n6),
    inference(cnfTransformation,[status(thm)],[f_29]) ).

tff(c_4,plain,
    person(n2),
    inference(cnfTransformation,[status(thm)],[f_25]) ).

tff(c_32,plain,
    not_equal(n2,n6),
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_74,plain,
    ! [X_1,Y_2] :
      ( ~ not_equal(X_1,Y_2)
      | ~ person(Y_2)
      | ~ person(X_1)
      | not_familiar(X_1,Y_2)
      | familiar(X_1,Y_2) ),
    inference(cnfTransformation,[status(thm)],[f_72]) ).

tff(c_87,plain,
    ! [X_23,Y_24] :
      ( ~ not_equal(X_23,Y_24)
      | ~ person(Y_24)
      | ~ person(X_23)
      | not_familiar(X_23,Y_24)
      | familiar(X_23,Y_24) ),
    inference(cnfTransformation,[status(thm)],[f_72]) ).

tff(c_78,plain,
    ! [X2_6,X1_5] :
      ( not_familiar(X2_6,X1_5)
      | ~ not_familiar(X1_5,X2_6) ),
    inference(cnfTransformation,[status(thm)],[f_82]) ).

tff(c_93,plain,
    ! [Y_24,X_23] :
      ( not_familiar(Y_24,X_23)
      | ~ not_equal(X_23,Y_24)
      | ~ person(Y_24)
      | ~ person(X_23)
      | familiar(X_23,Y_24) ),
    inference(resolution,[status(thm)],[c_87,c_78]) ).

tff(c_82,plain,
    ! [X3_12,X1_10,X2_11] :
      ( ~ not_familiar(X3_12,X1_10)
      | ~ not_familiar(X2_11,X3_12)
      | ~ not_familiar(X1_10,X2_11) ),
    inference(cnfTransformation,[status(thm)],[f_100]) ).

tff(c_101,plain,
    ! [X2_27,X_28,Y_29] :
      ( ~ not_familiar(X2_27,X_28)
      | ~ not_familiar(Y_29,X2_27)
      | ~ not_equal(X_28,Y_29)
      | ~ person(Y_29)
      | ~ person(X_28)
      | familiar(X_28,Y_29) ),
    inference(resolution,[status(thm)],[c_87,c_82]) ).

tff(c_122,plain,
    ! [Y_36,Y_37,X_38] :
      ( ~ not_familiar(Y_36,Y_37)
      | ~ not_equal(X_38,Y_36)
      | ~ person(Y_36)
      | familiar(X_38,Y_36)
      | ~ not_equal(X_38,Y_37)
      | ~ person(Y_37)
      | ~ person(X_38)
      | familiar(X_38,Y_37) ),
    inference(resolution,[status(thm)],[c_93,c_101]) ).

tff(c_294,plain,
    ! [X_48,X_49,Y_50] :
      ( ~ not_equal(X_48,X_49)
      | familiar(X_48,X_49)
      | ~ not_equal(X_48,Y_50)
      | ~ person(X_48)
      | familiar(X_48,Y_50)
      | ~ not_equal(X_49,Y_50)
      | ~ person(Y_50)
      | ~ person(X_49)
      | familiar(X_49,Y_50) ),
    inference(resolution,[status(thm)],[c_74,c_122]) ).

tff(c_316,plain,
    ! [Y_50] :
      ( familiar(n2,n6)
      | ~ not_equal(n2,Y_50)
      | ~ person(n2)
      | familiar(n2,Y_50)
      | ~ not_equal(n6,Y_50)
      | ~ person(Y_50)
      | ~ person(n6)
      | familiar(n6,Y_50) ),
    inference(resolution,[status(thm)],[c_32,c_294]) ).

tff(c_387,plain,
    ! [Y_50] :
      ( familiar(n2,n6)
      | ~ not_equal(n2,Y_50)
      | familiar(n2,Y_50)
      | ~ not_equal(n6,Y_50)
      | ~ person(Y_50)
      | familiar(n6,Y_50) ),
    inference(demodulation,[status(thm),theory(equality)],[c_12,c_4,c_316]) ).

tff(c_618,plain,
    familiar(n2,n6),
    inference(splitLeft,[status(thm)],[c_387]) ).

tff(c_6,plain,
    person(n3),
    inference(cnfTransformation,[status(thm)],[f_26]) ).

tff(c_42,plain,
    not_equal(n3,n6),
    inference(cnfTransformation,[status(thm)],[f_44]) ).

tff(c_115,plain,
    ! [Y_33,X_34,Y_35] :
      ( ~ not_familiar(Y_33,X_34)
      | ~ not_equal(Y_35,Y_33)
      | ~ person(Y_33)
      | familiar(Y_35,Y_33)
      | ~ not_equal(X_34,Y_35)
      | ~ person(Y_35)
      | ~ person(X_34)
      | familiar(X_34,Y_35) ),
    inference(resolution,[status(thm)],[c_74,c_101]) ).

tff(c_143,plain,
    ! [Y_45,X_46,Y_47] :
      ( ~ not_equal(Y_45,X_46)
      | familiar(Y_45,X_46)
      | ~ not_equal(Y_47,Y_45)
      | ~ person(Y_45)
      | familiar(Y_47,Y_45)
      | ~ not_equal(X_46,Y_47)
      | ~ person(Y_47)
      | ~ person(X_46)
      | familiar(X_46,Y_47) ),
    inference(resolution,[status(thm)],[c_74,c_115]) ).

tff(c_157,plain,
    ! [Y_47] :
      ( familiar(n3,n6)
      | ~ not_equal(Y_47,n3)
      | ~ person(n3)
      | familiar(Y_47,n3)
      | ~ not_equal(n6,Y_47)
      | ~ person(Y_47)
      | ~ person(n6)
      | familiar(n6,Y_47) ),
    inference(resolution,[status(thm)],[c_42,c_143]) ).

tff(c_224,plain,
    ! [Y_47] :
      ( familiar(n3,n6)
      | ~ not_equal(Y_47,n3)
      | familiar(Y_47,n3)
      | ~ not_equal(n6,Y_47)
      | ~ person(Y_47)
      | familiar(n6,Y_47) ),
    inference(demodulation,[status(thm),theory(equality)],[c_12,c_6,c_157]) ).

tff(c_445,plain,
    familiar(n3,n6),
    inference(splitLeft,[status(thm)],[c_224]) ).

tff(c_76,plain,
    ! [X2_4,X1_3] :
      ( familiar(X2_4,X1_3)
      | ~ familiar(X1_3,X2_4) ),
    inference(cnfTransformation,[status(thm)],[f_77]) ).

tff(c_451,plain,
    familiar(n6,n3),
    inference(resolution,[status(thm)],[c_445,c_76]) ).

tff(c_80,plain,
    ! [X3_9,X1_7,X2_8] :
      ( ~ familiar(X3_9,X1_7)
      | ~ familiar(X2_8,X3_9)
      | ~ familiar(X1_7,X2_8) ),
    inference(cnfTransformation,[status(thm)],[f_91]) ).

tff(c_456,plain,
    ! [X2_8] :
      ( ~ familiar(X2_8,n6)
      | ~ familiar(n3,X2_8) ),
    inference(resolution,[status(thm)],[c_451,c_80]) ).

tff(c_625,plain,
    ~ familiar(n3,n2),
    inference(resolution,[status(thm)],[c_618,c_456]) ).

tff(c_36,plain,
    not_equal(n3,n2),
    inference(cnfTransformation,[status(thm)],[f_41]) ).

tff(c_646,plain,
    ! [Y_58,Y_59,X_60] :
      ( ~ not_equal(Y_58,Y_59)
      | familiar(Y_58,Y_59)
      | ~ not_equal(X_60,Y_58)
      | ~ person(Y_58)
      | familiar(X_60,Y_58)
      | ~ not_equal(X_60,Y_59)
      | ~ person(Y_59)
      | ~ person(X_60)
      | familiar(X_60,Y_59) ),
    inference(resolution,[status(thm)],[c_93,c_115]) ).

tff(c_670,plain,
    ! [X_60] :
      ( familiar(n3,n2)
      | ~ not_equal(X_60,n3)
      | ~ person(n3)
      | familiar(X_60,n3)
      | ~ not_equal(X_60,n2)
      | ~ person(n2)
      | ~ person(X_60)
      | familiar(X_60,n2) ),
    inference(resolution,[status(thm)],[c_36,c_646]) ).

tff(c_742,plain,
    ! [X_60] :
      ( familiar(n3,n2)
      | ~ not_equal(X_60,n3)
      | familiar(X_60,n3)
      | ~ not_equal(X_60,n2)
      | ~ person(X_60)
      | familiar(X_60,n2) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_6,c_670]) ).

tff(c_798,plain,
    ! [X_61] :
      ( ~ not_equal(X_61,n3)
      | familiar(X_61,n3)
      | ~ not_equal(X_61,n2)
      | ~ person(X_61)
      | familiar(X_61,n2) ),
    inference(negUnitSimplification,[status(thm)],[c_625,c_742]) ).

tff(c_804,plain,
    ( familiar(n1,n3)
    | ~ not_equal(n1,n2)
    | ~ person(n1)
    | familiar(n1,n2) ),
    inference(resolution,[status(thm)],[c_16,c_798]) ).

tff(c_819,plain,
    ( familiar(n1,n3)
    | familiar(n1,n2) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_14,c_804]) ).

tff(c_830,plain,
    familiar(n1,n2),
    inference(splitLeft,[status(thm)],[c_819]) ).

tff(c_839,plain,
    familiar(n2,n1),
    inference(resolution,[status(thm)],[c_830,c_76]) ).

tff(c_10,plain,
    person(n5),
    inference(cnfTransformation,[status(thm)],[f_28]) ).

tff(c_56,plain,
    not_equal(n5,n2),
    inference(cnfTransformation,[status(thm)],[f_51]) ).

tff(c_58,plain,
    not_equal(n5,n3),
    inference(cnfTransformation,[status(thm)],[f_52]) ).

tff(c_807,plain,
    ( familiar(n5,n3)
    | ~ not_equal(n5,n2)
    | ~ person(n5)
    | familiar(n5,n2) ),
    inference(resolution,[status(thm)],[c_58,c_798]) ).

tff(c_822,plain,
    ( familiar(n5,n3)
    | familiar(n5,n2) ),
    inference(demodulation,[status(thm),theory(equality)],[c_10,c_56,c_807]) ).

tff(c_1218,plain,
    familiar(n5,n2),
    inference(splitLeft,[status(thm)],[c_822]) ).

tff(c_1258,plain,
    familiar(n2,n5),
    inference(resolution,[status(thm)],[c_1218,c_76]) ).

tff(c_22,plain,
    not_equal(n1,n6),
    inference(cnfTransformation,[status(thm)],[f_34]) ).

tff(c_62,plain,
    not_equal(n5,n6),
    inference(cnfTransformation,[status(thm)],[f_54]) ).

tff(c_8,plain,
    person(n4),
    inference(cnfTransformation,[status(thm)],[f_27]) ).

tff(c_46,plain,
    not_equal(n4,n2),
    inference(cnfTransformation,[status(thm)],[f_46]) ).

tff(c_48,plain,
    not_equal(n4,n3),
    inference(cnfTransformation,[status(thm)],[f_47]) ).

tff(c_813,plain,
    ( familiar(n4,n3)
    | ~ not_equal(n4,n2)
    | ~ person(n4)
    | familiar(n4,n2) ),
    inference(resolution,[status(thm)],[c_48,c_798]) ).

tff(c_829,plain,
    ( familiar(n4,n3)
    | familiar(n4,n2) ),
    inference(demodulation,[status(thm),theory(equality)],[c_8,c_46,c_813]) ).

tff(c_908,plain,
    familiar(n4,n2),
    inference(splitLeft,[status(thm)],[c_829]) ).

tff(c_917,plain,
    familiar(n2,n4),
    inference(resolution,[status(thm)],[c_908,c_76]) ).

tff(c_1022,plain,
    ! [X2_72] :
      ( ~ familiar(X2_72,n2)
      | ~ familiar(n4,X2_72) ),
    inference(resolution,[status(thm)],[c_917,c_80]) ).

tff(c_1030,plain,
    ~ familiar(n4,n1),
    inference(resolution,[status(thm)],[c_830,c_1022]) ).

tff(c_626,plain,
    ! [X2_8] :
      ( ~ familiar(X2_8,n2)
      | ~ familiar(n6,X2_8) ),
    inference(resolution,[status(thm)],[c_618,c_80]) ).

tff(c_915,plain,
    ~ familiar(n6,n4),
    inference(resolution,[status(thm)],[c_908,c_626]) ).

tff(c_44,plain,
    not_equal(n4,n1),
    inference(cnfTransformation,[status(thm)],[f_45]) ).

tff(c_70,plain,
    not_equal(n6,n4),
    inference(cnfTransformation,[status(thm)],[f_58]) ).

tff(c_837,plain,
    ~ familiar(n6,n1),
    inference(resolution,[status(thm)],[c_830,c_626]) ).

tff(c_463,plain,
    ! [X_52,Y_53,X_54] :
      ( ~ not_equal(X_52,Y_53)
      | familiar(X_52,Y_53)
      | ~ not_equal(X_52,X_54)
      | ~ person(X_52)
      | familiar(X_52,X_54)
      | ~ not_equal(X_54,Y_53)
      | ~ person(Y_53)
      | ~ person(X_54)
      | familiar(X_54,Y_53) ),
    inference(resolution,[status(thm)],[c_93,c_122]) ).

tff(c_497,plain,
    ! [X_54] :
      ( familiar(n6,n1)
      | ~ not_equal(n6,X_54)
      | ~ person(n6)
      | familiar(n6,X_54)
      | ~ not_equal(X_54,n1)
      | ~ person(n1)
      | ~ person(X_54)
      | familiar(X_54,n1) ),
    inference(resolution,[status(thm)],[c_64,c_463]) ).

tff(c_574,plain,
    ! [X_54] :
      ( familiar(n6,n1)
      | ~ not_equal(n6,X_54)
      | familiar(n6,X_54)
      | ~ not_equal(X_54,n1)
      | ~ person(X_54)
      | familiar(X_54,n1) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_12,c_497]) ).

tff(c_1034,plain,
    ! [X_73] :
      ( ~ not_equal(n6,X_73)
      | familiar(n6,X_73)
      | ~ not_equal(X_73,n1)
      | ~ person(X_73)
      | familiar(X_73,n1) ),
    inference(negUnitSimplification,[status(thm)],[c_837,c_574]) ).

tff(c_1044,plain,
    ( familiar(n6,n4)
    | ~ not_equal(n4,n1)
    | ~ person(n4)
    | familiar(n4,n1) ),
    inference(resolution,[status(thm)],[c_70,c_1034]) ).

tff(c_1062,plain,
    ( familiar(n6,n4)
    | familiar(n4,n1) ),
    inference(demodulation,[status(thm),theory(equality)],[c_8,c_44,c_1044]) ).

tff(c_1064,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1030,c_915,c_1062]) ).

tff(c_1065,plain,
    familiar(n4,n3),
    inference(splitRight,[status(thm)],[c_829]) ).

tff(c_450,plain,
    ! [X2_8] :
      ( ~ familiar(X2_8,n3)
      | ~ familiar(n6,X2_8) ),
    inference(resolution,[status(thm)],[c_445,c_80]) ).

tff(c_1083,plain,
    ~ familiar(n6,n4),
    inference(resolution,[status(thm)],[c_1065,c_450]) ).

tff(c_20,plain,
    not_equal(n1,n5),
    inference(cnfTransformation,[status(thm)],[f_33]) ).

tff(c_342,plain,
    ! [Y_50] :
      ( familiar(n1,n5)
      | ~ not_equal(n1,Y_50)
      | ~ person(n1)
      | familiar(n1,Y_50)
      | ~ not_equal(n5,Y_50)
      | ~ person(Y_50)
      | ~ person(n5)
      | familiar(n5,Y_50) ),
    inference(resolution,[status(thm)],[c_20,c_294]) ).

tff(c_426,plain,
    ! [Y_50] :
      ( familiar(n1,n5)
      | ~ not_equal(n1,Y_50)
      | familiar(n1,Y_50)
      | ~ not_equal(n5,Y_50)
      | ~ person(Y_50)
      | familiar(n5,Y_50) ),
    inference(demodulation,[status(thm),theory(equality)],[c_10,c_2,c_342]) ).

tff(c_847,plain,
    familiar(n1,n5),
    inference(splitLeft,[status(thm)],[c_426]) ).

tff(c_861,plain,
    ! [X2_62] :
      ( ~ familiar(X2_62,n1)
      | ~ familiar(n5,X2_62) ),
    inference(resolution,[status(thm)],[c_847,c_80]) ).

tff(c_867,plain,
    ~ familiar(n5,n2),
    inference(resolution,[status(thm)],[c_839,c_861]) ).

tff(c_875,plain,
    familiar(n5,n3),
    inference(negUnitSimplification,[status(thm)],[c_867,c_822]) ).

tff(c_1085,plain,
    familiar(n3,n4),
    inference(resolution,[status(thm)],[c_1065,c_76]) ).

tff(c_1134,plain,
    ! [X2_78] :
      ( ~ familiar(X2_78,n3)
      | ~ familiar(n4,X2_78) ),
    inference(resolution,[status(thm)],[c_1085,c_80]) ).

tff(c_1142,plain,
    ~ familiar(n4,n5),
    inference(resolution,[status(thm)],[c_875,c_1134]) ).

tff(c_50,plain,
    not_equal(n4,n5),
    inference(cnfTransformation,[status(thm)],[f_48]) ).

tff(c_40,plain,
    not_equal(n3,n5),
    inference(cnfTransformation,[status(thm)],[f_43]) ).

tff(c_159,plain,
    ! [Y_47] :
      ( familiar(n3,n5)
      | ~ not_equal(Y_47,n3)
      | ~ person(n3)
      | familiar(Y_47,n3)
      | ~ not_equal(n5,Y_47)
      | ~ person(Y_47)
      | ~ person(n5)
      | familiar(n5,Y_47) ),
    inference(resolution,[status(thm)],[c_40,c_143]) ).

tff(c_227,plain,
    ! [Y_47] :
      ( familiar(n3,n5)
      | ~ not_equal(Y_47,n3)
      | familiar(Y_47,n3)
      | ~ not_equal(n5,Y_47)
      | ~ person(Y_47)
      | familiar(n5,Y_47) ),
    inference(demodulation,[status(thm),theory(equality)],[c_10,c_6,c_159]) ).

tff(c_885,plain,
    familiar(n3,n5),
    inference(splitLeft,[status(thm)],[c_227]) ).

tff(c_894,plain,
    ! [X2_64] :
      ( ~ familiar(X2_64,n3)
      | ~ familiar(n5,X2_64) ),
    inference(resolution,[status(thm)],[c_885,c_80]) ).

tff(c_900,plain,
    ~ familiar(n5,n6),
    inference(resolution,[status(thm)],[c_451,c_894]) ).

tff(c_169,plain,
    ! [Y_47] :
      ( familiar(n5,n6)
      | ~ not_equal(Y_47,n5)
      | ~ person(n5)
      | familiar(Y_47,n5)
      | ~ not_equal(n6,Y_47)
      | ~ person(Y_47)
      | ~ person(n6)
      | familiar(n6,Y_47) ),
    inference(resolution,[status(thm)],[c_62,c_143]) ).

tff(c_242,plain,
    ! [Y_47] :
      ( familiar(n5,n6)
      | ~ not_equal(Y_47,n5)
      | familiar(Y_47,n5)
      | ~ not_equal(n6,Y_47)
      | ~ person(Y_47)
      | familiar(n6,Y_47) ),
    inference(demodulation,[status(thm),theory(equality)],[c_12,c_10,c_169]) ).

tff(c_1176,plain,
    ! [Y_80] :
      ( ~ not_equal(Y_80,n5)
      | familiar(Y_80,n5)
      | ~ not_equal(n6,Y_80)
      | ~ person(Y_80)
      | familiar(n6,Y_80) ),
    inference(negUnitSimplification,[status(thm)],[c_900,c_242]) ).

tff(c_1178,plain,
    ( familiar(n4,n5)
    | ~ not_equal(n6,n4)
    | ~ person(n4)
    | familiar(n6,n4) ),
    inference(resolution,[status(thm)],[c_50,c_1176]) ).

tff(c_1189,plain,
    ( familiar(n4,n5)
    | familiar(n6,n4) ),
    inference(demodulation,[status(thm),theory(equality)],[c_8,c_70,c_1178]) ).

tff(c_1191,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1083,c_1142,c_1189]) ).

tff(c_1193,plain,
    ~ familiar(n3,n5),
    inference(splitRight,[status(thm)],[c_227]) ).

tff(c_884,plain,
    familiar(n3,n5),
    inference(resolution,[status(thm)],[c_875,c_76]) ).

tff(c_1194,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1193,c_884]) ).

tff(c_1219,plain,
    ! [Y_82] :
      ( ~ not_equal(n1,Y_82)
      | familiar(n1,Y_82)
      | ~ not_equal(n5,Y_82)
      | ~ person(Y_82)
      | familiar(n5,Y_82) ),
    inference(splitRight,[status(thm)],[c_426]) ).

tff(c_1225,plain,
    ( ~ not_equal(n1,n6)
    | familiar(n1,n6)
    | ~ person(n6)
    | familiar(n5,n6) ),
    inference(resolution,[status(thm)],[c_62,c_1219]) ).

tff(c_1240,plain,
    ( familiar(n1,n6)
    | familiar(n5,n6) ),
    inference(demodulation,[status(thm),theory(equality)],[c_12,c_22,c_1225]) ).

tff(c_1270,plain,
    familiar(n5,n6),
    inference(splitLeft,[status(thm)],[c_1240]) ).

tff(c_627,plain,
    familiar(n6,n2),
    inference(resolution,[status(thm)],[c_618,c_76]) ).

tff(c_632,plain,
    ! [X2_8] :
      ( ~ familiar(X2_8,n6)
      | ~ familiar(n2,X2_8) ),
    inference(resolution,[status(thm)],[c_627,c_80]) ).

tff(c_1272,plain,
    ~ familiar(n2,n5),
    inference(resolution,[status(thm)],[c_1270,c_632]) ).

tff(c_1282,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1258,c_1272]) ).

tff(c_1283,plain,
    familiar(n1,n6),
    inference(splitRight,[status(thm)],[c_1240]) ).

tff(c_1286,plain,
    ~ familiar(n2,n1),
    inference(resolution,[status(thm)],[c_1283,c_632]) ).

tff(c_1296,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_839,c_1286]) ).

tff(c_1297,plain,
    familiar(n5,n3),
    inference(splitRight,[status(thm)],[c_822]) ).

tff(c_1307,plain,
    familiar(n3,n5),
    inference(resolution,[status(thm)],[c_1297,c_76]) ).

tff(c_1308,plain,
    ! [Y_84] :
      ( ~ not_equal(n1,Y_84)
      | familiar(n1,Y_84)
      | ~ not_equal(n5,Y_84)
      | ~ person(Y_84)
      | familiar(n5,Y_84) ),
    inference(splitRight,[status(thm)],[c_426]) ).

tff(c_1314,plain,
    ( ~ not_equal(n1,n6)
    | familiar(n1,n6)
    | ~ person(n6)
    | familiar(n5,n6) ),
    inference(resolution,[status(thm)],[c_62,c_1308]) ).

tff(c_1329,plain,
    ( familiar(n1,n6)
    | familiar(n5,n6) ),
    inference(demodulation,[status(thm),theory(equality)],[c_12,c_22,c_1314]) ).

tff(c_1350,plain,
    familiar(n5,n6),
    inference(splitLeft,[status(thm)],[c_1329]) ).

tff(c_1354,plain,
    ~ familiar(n3,n5),
    inference(resolution,[status(thm)],[c_1350,c_456]) ).

tff(c_1363,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1307,c_1354]) ).

tff(c_1364,plain,
    familiar(n1,n6),
    inference(splitRight,[status(thm)],[c_1329]) ).

tff(c_1367,plain,
    ~ familiar(n2,n1),
    inference(resolution,[status(thm)],[c_1364,c_632]) ).

tff(c_1377,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_839,c_1367]) ).

tff(c_1378,plain,
    familiar(n1,n3),
    inference(splitRight,[status(thm)],[c_819]) ).

tff(c_1388,plain,
    familiar(n3,n1),
    inference(resolution,[status(thm)],[c_1378,c_76]) ).

tff(c_1379,plain,
    ~ familiar(n1,n2),
    inference(splitRight,[status(thm)],[c_819]) ).

tff(c_1386,plain,
    ~ familiar(n6,n1),
    inference(resolution,[status(thm)],[c_1378,c_450]) ).

tff(c_1453,plain,
    familiar(n4,n2),
    inference(splitLeft,[status(thm)],[c_829]) ).

tff(c_1389,plain,
    familiar(n1,n5),
    inference(splitLeft,[status(thm)],[c_426]) ).

tff(c_1410,plain,
    ! [X2_86] :
      ( ~ familiar(X2_86,n1)
      | ~ familiar(n5,X2_86) ),
    inference(resolution,[status(thm)],[c_1389,c_80]) ).

tff(c_1415,plain,
    ~ familiar(n5,n3),
    inference(resolution,[status(thm)],[c_1388,c_1410]) ).

tff(c_1417,plain,
    familiar(n5,n2),
    inference(negUnitSimplification,[status(thm)],[c_1415,c_822]) ).

tff(c_1426,plain,
    familiar(n2,n5),
    inference(resolution,[status(thm)],[c_1417,c_76]) ).

tff(c_60,plain,
    not_equal(n5,n4),
    inference(cnfTransformation,[status(thm)],[f_53]) ).

tff(c_1427,plain,
    familiar(n3,n5),
    inference(splitLeft,[status(thm)],[c_227]) ).

tff(c_1431,plain,
    familiar(n5,n3),
    inference(resolution,[status(thm)],[c_1427,c_76]) ).

tff(c_1436,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1415,c_1431]) ).

tff(c_1470,plain,
    ! [Y_88] :
      ( ~ not_equal(Y_88,n3)
      | familiar(Y_88,n3)
      | ~ not_equal(n5,Y_88)
      | ~ person(Y_88)
      | familiar(n5,Y_88) ),
    inference(splitRight,[status(thm)],[c_227]) ).

tff(c_1480,plain,
    ( familiar(n4,n3)
    | ~ not_equal(n5,n4)
    | ~ person(n4)
    | familiar(n5,n4) ),
    inference(resolution,[status(thm)],[c_48,c_1470]) ).

tff(c_1497,plain,
    ( familiar(n4,n3)
    | familiar(n5,n4) ),
    inference(demodulation,[status(thm),theory(equality)],[c_8,c_60,c_1480]) ).

tff(c_1498,plain,
    familiar(n5,n4),
    inference(splitLeft,[status(thm)],[c_1497]) ).

tff(c_1515,plain,
    ! [X2_89] :
      ( ~ familiar(X2_89,n5)
      | ~ familiar(n4,X2_89) ),
    inference(resolution,[status(thm)],[c_1498,c_80]) ).

tff(c_1519,plain,
    ~ familiar(n4,n2),
    inference(resolution,[status(thm)],[c_1426,c_1515]) ).

tff(c_1526,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1453,c_1519]) ).

tff(c_1527,plain,
    familiar(n4,n3),
    inference(splitRight,[status(thm)],[c_1497]) ).

tff(c_1537,plain,
    familiar(n3,n4),
    inference(resolution,[status(thm)],[c_1527,c_76]) ).

tff(c_1605,plain,
    ! [X2_97] :
      ( ~ familiar(X2_97,n3)
      | ~ familiar(n4,X2_97) ),
    inference(resolution,[status(thm)],[c_1537,c_80]) ).

tff(c_1613,plain,
    ~ familiar(n4,n1),
    inference(resolution,[status(thm)],[c_1378,c_1605]) ).

tff(c_1460,plain,
    ~ familiar(n6,n4),
    inference(resolution,[status(thm)],[c_1453,c_626]) ).

tff(c_1616,plain,
    ! [X_98] :
      ( ~ not_equal(n6,X_98)
      | familiar(n6,X_98)
      | ~ not_equal(X_98,n1)
      | ~ person(X_98)
      | familiar(X_98,n1) ),
    inference(negUnitSimplification,[status(thm)],[c_1386,c_574]) ).

tff(c_1626,plain,
    ( familiar(n6,n4)
    | ~ not_equal(n4,n1)
    | ~ person(n4)
    | familiar(n4,n1) ),
    inference(resolution,[status(thm)],[c_70,c_1616]) ).

tff(c_1644,plain,
    ( familiar(n6,n4)
    | familiar(n4,n1) ),
    inference(demodulation,[status(thm),theory(equality)],[c_8,c_44,c_1626]) ).

tff(c_1646,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1613,c_1460,c_1644]) ).

tff(c_1647,plain,
    familiar(n4,n3),
    inference(splitRight,[status(thm)],[c_829]) ).

tff(c_1657,plain,
    familiar(n3,n4),
    inference(resolution,[status(thm)],[c_1647,c_76]) ).

tff(c_1722,plain,
    ! [X2_104] :
      ( ~ familiar(X2_104,n3)
      | ~ familiar(n4,X2_104) ),
    inference(resolution,[status(thm)],[c_1657,c_80]) ).

tff(c_1730,plain,
    ~ familiar(n4,n1),
    inference(resolution,[status(thm)],[c_1378,c_1722]) ).

tff(c_1731,plain,
    ~ familiar(n4,n6),
    inference(resolution,[status(thm)],[c_451,c_1722]) ).

tff(c_52,plain,
    not_equal(n4,n6),
    inference(cnfTransformation,[status(thm)],[f_49]) ).

tff(c_344,plain,
    ! [Y_50] :
      ( familiar(n4,n6)
      | ~ not_equal(n4,Y_50)
      | ~ person(n4)
      | familiar(n4,Y_50)
      | ~ not_equal(n6,Y_50)
      | ~ person(Y_50)
      | ~ person(n6)
      | familiar(n6,Y_50) ),
    inference(resolution,[status(thm)],[c_52,c_294]) ).

tff(c_429,plain,
    ! [Y_50] :
      ( familiar(n4,n6)
      | ~ not_equal(n4,Y_50)
      | familiar(n4,Y_50)
      | ~ not_equal(n6,Y_50)
      | ~ person(Y_50)
      | familiar(n6,Y_50) ),
    inference(demodulation,[status(thm),theory(equality)],[c_12,c_8,c_344]) ).

tff(c_1855,plain,
    ! [Y_110] :
      ( ~ not_equal(n4,Y_110)
      | familiar(n4,Y_110)
      | ~ not_equal(n6,Y_110)
      | ~ person(Y_110)
      | familiar(n6,Y_110) ),
    inference(negUnitSimplification,[status(thm)],[c_1731,c_429]) ).

tff(c_1861,plain,
    ( ~ not_equal(n4,n1)
    | familiar(n4,n1)
    | ~ person(n1)
    | familiar(n6,n1) ),
    inference(resolution,[status(thm)],[c_64,c_1855]) ).

tff(c_1876,plain,
    ( familiar(n4,n1)
    | familiar(n6,n1) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_44,c_1861]) ).

tff(c_1878,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1386,c_1730,c_1876]) ).

tff(c_1888,plain,
    ! [Y_111] :
      ( ~ not_equal(n1,Y_111)
      | familiar(n1,Y_111)
      | ~ not_equal(n5,Y_111)
      | ~ person(Y_111)
      | familiar(n5,Y_111) ),
    inference(splitRight,[status(thm)],[c_426]) ).

tff(c_1903,plain,
    ( ~ not_equal(n1,n2)
    | familiar(n1,n2)
    | ~ person(n2)
    | familiar(n5,n2) ),
    inference(resolution,[status(thm)],[c_56,c_1888]) ).

tff(c_1918,plain,
    ( familiar(n1,n2)
    | familiar(n5,n2) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_14,c_1903]) ).

tff(c_1919,plain,
    familiar(n5,n2),
    inference(negUnitSimplification,[status(thm)],[c_1379,c_1918]) ).

tff(c_1928,plain,
    familiar(n2,n5),
    inference(resolution,[status(thm)],[c_1919,c_76]) ).

tff(c_1894,plain,
    ( ~ not_equal(n1,n6)
    | familiar(n1,n6)
    | ~ person(n6)
    | familiar(n5,n6) ),
    inference(resolution,[status(thm)],[c_62,c_1888]) ).

tff(c_1909,plain,
    ( familiar(n1,n6)
    | familiar(n5,n6) ),
    inference(demodulation,[status(thm),theory(equality)],[c_12,c_22,c_1894]) ).

tff(c_1957,plain,
    familiar(n5,n6),
    inference(splitLeft,[status(thm)],[c_1909]) ).

tff(c_1986,plain,
    ~ familiar(n2,n5),
    inference(resolution,[status(thm)],[c_1957,c_632]) ).

tff(c_1996,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1928,c_1986]) ).

tff(c_1997,plain,
    familiar(n1,n6),
    inference(splitRight,[status(thm)],[c_1909]) ).

tff(c_2002,plain,
    ~ familiar(n3,n1),
    inference(resolution,[status(thm)],[c_1997,c_456]) ).

tff(c_2011,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1388,c_2002]) ).

tff(c_2014,plain,
    ! [Y_114] :
      ( ~ not_equal(n2,Y_114)
      | familiar(n2,Y_114)
      | ~ not_equal(n6,Y_114)
      | ~ person(Y_114)
      | familiar(n6,Y_114) ),
    inference(splitRight,[status(thm)],[c_387]) ).

tff(c_2020,plain,
    ( ~ not_equal(n2,n1)
    | familiar(n2,n1)
    | ~ person(n1)
    | familiar(n6,n1) ),
    inference(resolution,[status(thm)],[c_64,c_2014]) ).

tff(c_2035,plain,
    ( familiar(n2,n1)
    | familiar(n6,n1) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_24,c_2020]) ).

tff(c_2045,plain,
    familiar(n6,n1),
    inference(splitLeft,[status(thm)],[c_2035]) ).

tff(c_2051,plain,
    familiar(n1,n6),
    inference(resolution,[status(thm)],[c_2045,c_76]) ).

tff(c_30,plain,
    not_equal(n2,n5),
    inference(cnfTransformation,[status(thm)],[f_38]) ).

tff(c_72,plain,
    not_equal(n6,n5),
    inference(cnfTransformation,[status(thm)],[f_59]) ).

tff(c_2026,plain,
    ( ~ not_equal(n2,n5)
    | familiar(n2,n5)
    | ~ person(n5)
    | familiar(n6,n5) ),
    inference(resolution,[status(thm)],[c_72,c_2014]) ).

tff(c_2041,plain,
    ( familiar(n2,n5)
    | familiar(n6,n5) ),
    inference(demodulation,[status(thm),theory(equality)],[c_10,c_30,c_2026]) ).

tff(c_2215,plain,
    familiar(n6,n5),
    inference(splitLeft,[status(thm)],[c_2041]) ).

tff(c_2294,plain,
    ! [X2_120] :
      ( ~ familiar(X2_120,n6)
      | ~ familiar(n5,X2_120) ),
    inference(resolution,[status(thm)],[c_2215,c_80]) ).

tff(c_2305,plain,
    ~ familiar(n5,n1),
    inference(resolution,[status(thm)],[c_2051,c_2294]) ).

tff(c_2306,plain,
    ~ familiar(n5,n3),
    inference(resolution,[status(thm)],[c_445,c_2294]) ).

tff(c_54,plain,
    not_equal(n5,n1),
    inference(cnfTransformation,[status(thm)],[f_50]) ).

tff(c_2058,plain,
    ~ familiar(n3,n1),
    inference(resolution,[status(thm)],[c_2051,c_456]) ).

tff(c_34,plain,
    not_equal(n3,n1),
    inference(cnfTransformation,[status(thm)],[f_40]) ).

tff(c_2062,plain,
    ! [Y_115,Y_116,X_117] :
      ( ~ not_equal(Y_115,Y_116)
      | familiar(Y_115,Y_116)
      | ~ not_equal(X_117,Y_115)
      | ~ person(Y_115)
      | familiar(X_117,Y_115)
      | ~ not_equal(X_117,Y_116)
      | ~ person(Y_116)
      | ~ person(X_117)
      | familiar(X_117,Y_116) ),
    inference(resolution,[status(thm)],[c_93,c_115]) ).

tff(c_2080,plain,
    ! [X_117] :
      ( familiar(n3,n1)
      | ~ not_equal(X_117,n3)
      | ~ person(n3)
      | familiar(X_117,n3)
      | ~ not_equal(X_117,n1)
      | ~ person(n1)
      | ~ person(X_117)
      | familiar(X_117,n1) ),
    inference(resolution,[status(thm)],[c_34,c_2062]) ).

tff(c_2149,plain,
    ! [X_117] :
      ( familiar(n3,n1)
      | ~ not_equal(X_117,n3)
      | familiar(X_117,n3)
      | ~ not_equal(X_117,n1)
      | ~ person(X_117)
      | familiar(X_117,n1) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_6,c_2080]) ).

tff(c_2307,plain,
    ! [X_121] :
      ( ~ not_equal(X_121,n3)
      | familiar(X_121,n3)
      | ~ not_equal(X_121,n1)
      | ~ person(X_121)
      | familiar(X_121,n1) ),
    inference(negUnitSimplification,[status(thm)],[c_2058,c_2149]) ).

tff(c_2316,plain,
    ( familiar(n5,n3)
    | ~ not_equal(n5,n1)
    | ~ person(n5)
    | familiar(n5,n1) ),
    inference(resolution,[status(thm)],[c_58,c_2307]) ).

tff(c_2332,plain,
    ( familiar(n5,n3)
    | familiar(n5,n1) ),
    inference(demodulation,[status(thm),theory(equality)],[c_10,c_54,c_2316]) ).

tff(c_2334,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2305,c_2306,c_2332]) ).

tff(c_2335,plain,
    familiar(n2,n5),
    inference(splitRight,[status(thm)],[c_2041]) ).

tff(c_2342,plain,
    familiar(n5,n2),
    inference(resolution,[status(thm)],[c_2335,c_76]) ).

tff(c_28,plain,
    not_equal(n2,n4),
    inference(cnfTransformation,[status(thm)],[f_37]) ).

tff(c_2029,plain,
    ( ~ not_equal(n2,n4)
    | familiar(n2,n4)
    | ~ person(n4)
    | familiar(n6,n4) ),
    inference(resolution,[status(thm)],[c_70,c_2014]) ).

tff(c_2044,plain,
    ( familiar(n2,n4)
    | familiar(n6,n4) ),
    inference(demodulation,[status(thm),theory(equality)],[c_8,c_28,c_2029]) ).

tff(c_2357,plain,
    familiar(n6,n4),
    inference(splitLeft,[status(thm)],[c_2044]) ).

tff(c_2410,plain,
    ! [X2_124] :
      ( ~ familiar(X2_124,n6)
      | ~ familiar(n4,X2_124) ),
    inference(resolution,[status(thm)],[c_2357,c_80]) ).

tff(c_2418,plain,
    ~ familiar(n4,n1),
    inference(resolution,[status(thm)],[c_2051,c_2410]) ).

tff(c_2419,plain,
    ~ familiar(n4,n3),
    inference(resolution,[status(thm)],[c_445,c_2410]) ).

tff(c_2424,plain,
    ! [X_126] :
      ( ~ not_equal(X_126,n3)
      | familiar(X_126,n3)
      | ~ not_equal(X_126,n1)
      | ~ person(X_126)
      | familiar(X_126,n1) ),
    inference(negUnitSimplification,[status(thm)],[c_2058,c_2149]) ).

tff(c_2439,plain,
    ( familiar(n4,n3)
    | ~ not_equal(n4,n1)
    | ~ person(n4)
    | familiar(n4,n1) ),
    inference(resolution,[status(thm)],[c_48,c_2424]) ).

tff(c_2455,plain,
    ( familiar(n4,n3)
    | familiar(n4,n1) ),
    inference(demodulation,[status(thm),theory(equality)],[c_8,c_44,c_2439]) ).

tff(c_2457,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2418,c_2419,c_2455]) ).

tff(c_2458,plain,
    familiar(n2,n4),
    inference(splitRight,[status(thm)],[c_2044]) ).

tff(c_2480,plain,
    ! [X2_128] :
      ( ~ familiar(X2_128,n2)
      | ~ familiar(n4,X2_128) ),
    inference(resolution,[status(thm)],[c_2458,c_80]) ).

tff(c_2486,plain,
    ~ familiar(n4,n5),
    inference(resolution,[status(thm)],[c_2342,c_2480]) ).

tff(c_2533,plain,
    ! [X_133] :
      ( ~ not_equal(X_133,n3)
      | familiar(X_133,n3)
      | ~ not_equal(X_133,n1)
      | ~ person(X_133)
      | familiar(X_133,n1) ),
    inference(negUnitSimplification,[status(thm)],[c_2058,c_2149]) ).

tff(c_2542,plain,
    ( familiar(n5,n3)
    | ~ not_equal(n5,n1)
    | ~ person(n5)
    | familiar(n5,n1) ),
    inference(resolution,[status(thm)],[c_58,c_2533]) ).

tff(c_2558,plain,
    ( familiar(n5,n3)
    | familiar(n5,n1) ),
    inference(demodulation,[status(thm),theory(equality)],[c_10,c_54,c_2542]) ).

tff(c_2715,plain,
    familiar(n5,n1),
    inference(splitLeft,[status(thm)],[c_2558]) ).

tff(c_2724,plain,
    familiar(n1,n5),
    inference(resolution,[status(thm)],[c_2715,c_76]) ).

tff(c_2347,plain,
    ! [X2_8] :
      ( ~ familiar(X2_8,n5)
      | ~ familiar(n2,X2_8) ),
    inference(resolution,[status(thm)],[c_2342,c_80]) ).

tff(c_2731,plain,
    ~ familiar(n2,n1),
    inference(resolution,[status(thm)],[c_2724,c_2347]) ).

tff(c_2465,plain,
    familiar(n4,n2),
    inference(resolution,[status(thm)],[c_2458,c_76]) ).

tff(c_2473,plain,
    ! [X2_127] :
      ( ~ familiar(X2_127,n2)
      | ~ familiar(n5,X2_127) ),
    inference(resolution,[status(thm)],[c_2335,c_80]) ).

tff(c_2478,plain,
    ~ familiar(n5,n4),
    inference(resolution,[status(thm)],[c_2465,c_2473]) ).

tff(c_18,plain,
    not_equal(n1,n4),
    inference(cnfTransformation,[status(thm)],[f_32]) ).

tff(c_181,plain,
    ! [Y_47] :
      ( familiar(n1,n4)
      | ~ not_equal(Y_47,n1)
      | ~ person(n1)
      | familiar(Y_47,n1)
      | ~ not_equal(n4,Y_47)
      | ~ person(Y_47)
      | ~ person(n4)
      | familiar(n4,Y_47) ),
    inference(resolution,[status(thm)],[c_18,c_143]) ).

tff(c_260,plain,
    ! [Y_47] :
      ( familiar(n1,n4)
      | ~ not_equal(Y_47,n1)
      | familiar(Y_47,n1)
      | ~ not_equal(n4,Y_47)
      | ~ person(Y_47)
      | familiar(n4,Y_47) ),
    inference(demodulation,[status(thm),theory(equality)],[c_8,c_2,c_181]) ).

tff(c_2565,plain,
    familiar(n1,n4),
    inference(splitLeft,[status(thm)],[c_260]) ).

tff(c_2470,plain,
    ! [X2_8] :
      ( ~ familiar(X2_8,n4)
      | ~ familiar(n2,X2_8) ),
    inference(resolution,[status(thm)],[c_2465,c_80]) ).

tff(c_2572,plain,
    ~ familiar(n2,n1),
    inference(resolution,[status(thm)],[c_2565,c_2470]) ).

tff(c_26,plain,
    not_equal(n2,n3),
    inference(cnfTransformation,[status(thm)],[f_36]) ).

tff(c_2545,plain,
    ( familiar(n2,n3)
    | ~ not_equal(n2,n1)
    | ~ person(n2)
    | familiar(n2,n1) ),
    inference(resolution,[status(thm)],[c_26,c_2533]) ).

tff(c_2561,plain,
    ( familiar(n2,n3)
    | familiar(n2,n1) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_24,c_2545]) ).

tff(c_2592,plain,
    familiar(n2,n3),
    inference(negUnitSimplification,[status(thm)],[c_2572,c_2561]) ).

tff(c_2601,plain,
    familiar(n3,n2),
    inference(resolution,[status(thm)],[c_2592,c_76]) ).

tff(c_2341,plain,
    ! [X2_8] :
      ( ~ familiar(X2_8,n2)
      | ~ familiar(n5,X2_8) ),
    inference(resolution,[status(thm)],[c_2335,c_80]) ).

tff(c_2611,plain,
    ~ familiar(n5,n3),
    inference(resolution,[status(thm)],[c_2601,c_2341]) ).

tff(c_2618,plain,
    familiar(n5,n1),
    inference(negUnitSimplification,[status(thm)],[c_2611,c_2558]) ).

tff(c_2630,plain,
    familiar(n1,n5),
    inference(resolution,[status(thm)],[c_2618,c_76]) ).

tff(c_2666,plain,
    ! [X2_138] :
      ( ~ familiar(X2_138,n1)
      | ~ familiar(n5,X2_138) ),
    inference(resolution,[status(thm)],[c_2630,c_80]) ).

tff(c_2675,plain,
    ~ familiar(n5,n6),
    inference(resolution,[status(thm)],[c_2045,c_2666]) ).

tff(c_2459,plain,
    ~ familiar(n6,n4),
    inference(splitRight,[status(thm)],[c_2044]) ).

tff(c_2122,plain,
    ! [X_117] :
      ( familiar(n6,n4)
      | ~ not_equal(X_117,n6)
      | ~ person(n6)
      | familiar(X_117,n6)
      | ~ not_equal(X_117,n4)
      | ~ person(n4)
      | ~ person(X_117)
      | familiar(X_117,n4) ),
    inference(resolution,[status(thm)],[c_70,c_2062]) ).

tff(c_2214,plain,
    ! [X_117] :
      ( familiar(n6,n4)
      | ~ not_equal(X_117,n6)
      | familiar(X_117,n6)
      | ~ not_equal(X_117,n4)
      | ~ person(X_117)
      | familiar(X_117,n4) ),
    inference(demodulation,[status(thm),theory(equality)],[c_8,c_12,c_2122]) ).

tff(c_2684,plain,
    ! [X_140] :
      ( ~ not_equal(X_140,n6)
      | familiar(X_140,n6)
      | ~ not_equal(X_140,n4)
      | ~ person(X_140)
      | familiar(X_140,n4) ),
    inference(negUnitSimplification,[status(thm)],[c_2459,c_2214]) ).

tff(c_2693,plain,
    ( familiar(n5,n6)
    | ~ not_equal(n5,n4)
    | ~ person(n5)
    | familiar(n5,n4) ),
    inference(resolution,[status(thm)],[c_62,c_2684]) ).

tff(c_2710,plain,
    ( familiar(n5,n6)
    | familiar(n5,n4) ),
    inference(demodulation,[status(thm),theory(equality)],[c_10,c_60,c_2693]) ).

tff(c_2712,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2478,c_2675,c_2710]) ).

tff(c_2735,plain,
    ! [Y_141] :
      ( ~ not_equal(Y_141,n1)
      | familiar(Y_141,n1)
      | ~ not_equal(n4,Y_141)
      | ~ person(Y_141)
      | familiar(n4,Y_141) ),
    inference(splitRight,[status(thm)],[c_260]) ).

tff(c_2739,plain,
    ( familiar(n3,n1)
    | ~ not_equal(n4,n3)
    | ~ person(n3)
    | familiar(n4,n3) ),
    inference(resolution,[status(thm)],[c_34,c_2735]) ).

tff(c_2752,plain,
    ( familiar(n3,n1)
    | familiar(n4,n3) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_48,c_2739]) ).

tff(c_2753,plain,
    familiar(n4,n3),
    inference(negUnitSimplification,[status(thm)],[c_2058,c_2752]) ).

tff(c_2772,plain,
    familiar(n3,n4),
    inference(resolution,[status(thm)],[c_2753,c_76]) ).

tff(c_2779,plain,
    ~ familiar(n2,n3),
    inference(resolution,[status(thm)],[c_2772,c_2470]) ).

tff(c_2790,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2731,c_2779,c_2561]) ).

tff(c_2792,plain,
    ~ familiar(n5,n1),
    inference(splitRight,[status(thm)],[c_2558]) ).

tff(c_2802,plain,
    ! [Y_143] :
      ( ~ not_equal(Y_143,n1)
      | familiar(Y_143,n1)
      | ~ not_equal(n4,Y_143)
      | ~ person(Y_143)
      | familiar(n4,Y_143) ),
    inference(splitRight,[status(thm)],[c_260]) ).

tff(c_2804,plain,
    ( familiar(n5,n1)
    | ~ not_equal(n4,n5)
    | ~ person(n5)
    | familiar(n4,n5) ),
    inference(resolution,[status(thm)],[c_54,c_2802]) ).

tff(c_2815,plain,
    ( familiar(n5,n1)
    | familiar(n4,n5) ),
    inference(demodulation,[status(thm),theory(equality)],[c_10,c_50,c_2804]) ).

tff(c_2817,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2486,c_2792,c_2815]) ).

tff(c_2819,plain,
    ~ familiar(n6,n1),
    inference(splitRight,[status(thm)],[c_2035]) ).

tff(c_2837,plain,
    familiar(n6,n5),
    inference(splitLeft,[status(thm)],[c_2041]) ).

tff(c_2843,plain,
    familiar(n5,n6),
    inference(resolution,[status(thm)],[c_2837,c_76]) ).

tff(c_3008,plain,
    familiar(n6,n4),
    inference(splitLeft,[status(thm)],[c_2044]) ).

tff(c_3035,plain,
    ! [X2_149] :
      ( ~ familiar(X2_149,n6)
      | ~ familiar(n4,X2_149) ),
    inference(resolution,[status(thm)],[c_3008,c_80]) ).

tff(c_3043,plain,
    ~ familiar(n4,n5),
    inference(resolution,[status(thm)],[c_2843,c_3035]) ).

tff(c_3044,plain,
    ~ familiar(n4,n3),
    inference(resolution,[status(thm)],[c_445,c_3035]) ).

tff(c_2850,plain,
    ~ familiar(n3,n5),
    inference(resolution,[status(thm)],[c_2843,c_456]) ).

tff(c_2854,plain,
    ! [Y_145,Y_146,X_147] :
      ( ~ not_equal(Y_145,Y_146)
      | familiar(Y_145,Y_146)
      | ~ not_equal(X_147,Y_145)
      | ~ person(Y_145)
      | familiar(X_147,Y_145)
      | ~ not_equal(X_147,Y_146)
      | ~ person(Y_146)
      | ~ person(X_147)
      | familiar(X_147,Y_146) ),
    inference(resolution,[status(thm)],[c_93,c_115]) ).

tff(c_2870,plain,
    ! [X_147] :
      ( familiar(n3,n5)
      | ~ not_equal(X_147,n3)
      | ~ person(n3)
      | familiar(X_147,n3)
      | ~ not_equal(X_147,n5)
      | ~ person(n5)
      | ~ person(X_147)
      | familiar(X_147,n5) ),
    inference(resolution,[status(thm)],[c_40,c_2854]) ).

tff(c_2938,plain,
    ! [X_147] :
      ( familiar(n3,n5)
      | ~ not_equal(X_147,n3)
      | familiar(X_147,n3)
      | ~ not_equal(X_147,n5)
      | ~ person(X_147)
      | familiar(X_147,n5) ),
    inference(demodulation,[status(thm),theory(equality)],[c_10,c_6,c_2870]) ).

tff(c_3125,plain,
    ! [X_155] :
      ( ~ not_equal(X_155,n3)
      | familiar(X_155,n3)
      | ~ not_equal(X_155,n5)
      | ~ person(X_155)
      | familiar(X_155,n5) ),
    inference(negUnitSimplification,[status(thm)],[c_2850,c_2938]) ).

tff(c_3128,plain,
    ( ~ not_equal(n4,n3)
    | familiar(n4,n3)
    | ~ person(n4)
    | familiar(n4,n5) ),
    inference(resolution,[status(thm)],[c_50,c_3125]) ).

tff(c_3143,plain,
    ( familiar(n4,n3)
    | familiar(n4,n5) ),
    inference(demodulation,[status(thm),theory(equality)],[c_8,c_48,c_3128]) ).

tff(c_3145,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_3043,c_3044,c_3143]) ).

tff(c_3147,plain,
    ~ familiar(n6,n4),
    inference(splitRight,[status(thm)],[c_2044]) ).

tff(c_2818,plain,
    familiar(n2,n1),
    inference(splitRight,[status(thm)],[c_2035]) ).

tff(c_2825,plain,
    familiar(n1,n2),
    inference(resolution,[status(thm)],[c_2818,c_76]) ).

tff(c_3146,plain,
    familiar(n2,n4),
    inference(splitRight,[status(thm)],[c_2044]) ).

tff(c_3204,plain,
    ! [X2_158] :
      ( ~ familiar(X2_158,n2)
      | ~ familiar(n4,X2_158) ),
    inference(resolution,[status(thm)],[c_3146,c_80]) ).

tff(c_3210,plain,
    ~ familiar(n4,n1),
    inference(resolution,[status(thm)],[c_2825,c_3204]) ).

tff(c_2888,plain,
    ! [X_147] :
      ( familiar(n6,n1)
      | ~ not_equal(X_147,n6)
      | ~ person(n6)
      | familiar(X_147,n6)
      | ~ not_equal(X_147,n1)
      | ~ person(n1)
      | ~ person(X_147)
      | familiar(X_147,n1) ),
    inference(resolution,[status(thm)],[c_64,c_2854]) ).

tff(c_2967,plain,
    ! [X_147] :
      ( familiar(n6,n1)
      | ~ not_equal(X_147,n6)
      | familiar(X_147,n6)
      | ~ not_equal(X_147,n1)
      | ~ person(X_147)
      | familiar(X_147,n1) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_12,c_2888]) ).

tff(c_3219,plain,
    ! [X_161] :
      ( ~ not_equal(X_161,n6)
      | familiar(X_161,n6)
      | ~ not_equal(X_161,n1)
      | ~ person(X_161)
      | familiar(X_161,n1) ),
    inference(negUnitSimplification,[status(thm)],[c_2819,c_2967]) ).

tff(c_3234,plain,
    ( familiar(n4,n6)
    | ~ not_equal(n4,n1)
    | ~ person(n4)
    | familiar(n4,n1) ),
    inference(resolution,[status(thm)],[c_52,c_3219]) ).

tff(c_3251,plain,
    ( familiar(n4,n6)
    | familiar(n4,n1) ),
    inference(demodulation,[status(thm),theory(equality)],[c_8,c_44,c_3234]) ).

tff(c_3252,plain,
    familiar(n4,n6),
    inference(negUnitSimplification,[status(thm)],[c_3210,c_3251]) ).

tff(c_3260,plain,
    familiar(n6,n4),
    inference(resolution,[status(thm)],[c_3252,c_76]) ).

tff(c_3267,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_3147,c_3260]) ).

tff(c_3268,plain,
    familiar(n2,n5),
    inference(splitRight,[status(thm)],[c_2041]) ).

tff(c_3275,plain,
    familiar(n5,n2),
    inference(resolution,[status(thm)],[c_3268,c_76]) ).

tff(c_2824,plain,
    ! [X2_8] :
      ( ~ familiar(X2_8,n2)
      | ~ familiar(n1,X2_8) ),
    inference(resolution,[status(thm)],[c_2818,c_80]) ).

tff(c_3282,plain,
    ~ familiar(n1,n5),
    inference(resolution,[status(thm)],[c_3275,c_2824]) ).

tff(c_3269,plain,
    ~ familiar(n6,n5),
    inference(splitRight,[status(thm)],[c_2041]) ).

tff(c_3303,plain,
    ! [Y_162,Y_163,X_164] :
      ( ~ not_equal(Y_162,Y_163)
      | familiar(Y_162,Y_163)
      | ~ not_equal(X_164,Y_162)
      | ~ person(Y_162)
      | familiar(X_164,Y_162)
      | ~ not_equal(X_164,Y_163)
      | ~ person(Y_163)
      | ~ person(X_164)
      | familiar(X_164,Y_163) ),
    inference(resolution,[status(thm)],[c_93,c_115]) ).

tff(c_3357,plain,
    ! [X_164] :
      ( familiar(n6,n5)
      | ~ not_equal(X_164,n6)
      | ~ person(n6)
      | familiar(X_164,n6)
      | ~ not_equal(X_164,n5)
      | ~ person(n5)
      | ~ person(X_164)
      | familiar(X_164,n5) ),
    inference(resolution,[status(thm)],[c_72,c_3303]) ).

tff(c_3448,plain,
    ! [X_164] :
      ( familiar(n6,n5)
      | ~ not_equal(X_164,n6)
      | familiar(X_164,n6)
      | ~ not_equal(X_164,n5)
      | ~ person(X_164)
      | familiar(X_164,n5) ),
    inference(demodulation,[status(thm),theory(equality)],[c_10,c_12,c_3357]) ).

tff(c_3481,plain,
    ! [X_169] :
      ( ~ not_equal(X_169,n6)
      | familiar(X_169,n6)
      | ~ not_equal(X_169,n5)
      | ~ person(X_169)
      | familiar(X_169,n5) ),
    inference(negUnitSimplification,[status(thm)],[c_3269,c_3448]) ).

tff(c_3493,plain,
    ( familiar(n1,n6)
    | ~ not_equal(n1,n5)
    | ~ person(n1)
    | familiar(n1,n5) ),
    inference(resolution,[status(thm)],[c_22,c_3481]) ).

tff(c_3510,plain,
    ( familiar(n1,n6)
    | familiar(n1,n5) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_20,c_3493]) ).

tff(c_3511,plain,
    familiar(n1,n6),
    inference(negUnitSimplification,[status(thm)],[c_3282,c_3510]) ).

tff(c_3522,plain,
    familiar(n6,n1),
    inference(resolution,[status(thm)],[c_3511,c_76]) ).

tff(c_3529,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2819,c_3522]) ).

tff(c_3532,plain,
    ! [Y_170] :
      ( ~ not_equal(Y_170,n3)
      | familiar(Y_170,n3)
      | ~ not_equal(n6,Y_170)
      | ~ person(Y_170)
      | familiar(n6,Y_170) ),
    inference(splitRight,[status(thm)],[c_224]) ).

tff(c_3536,plain,
    ( familiar(n1,n3)
    | ~ not_equal(n6,n1)
    | ~ person(n1)
    | familiar(n6,n1) ),
    inference(resolution,[status(thm)],[c_16,c_3532]) ).

tff(c_3548,plain,
    ( familiar(n1,n3)
    | familiar(n6,n1) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_64,c_3536]) ).

tff(c_3558,plain,
    familiar(n6,n1),
    inference(splitLeft,[status(thm)],[c_3548]) ).

tff(c_3564,plain,
    familiar(n1,n6),
    inference(resolution,[status(thm)],[c_3558,c_76]) ).

tff(c_3538,plain,
    ( familiar(n5,n3)
    | ~ not_equal(n6,n5)
    | ~ person(n5)
    | familiar(n6,n5) ),
    inference(resolution,[status(thm)],[c_58,c_3532]) ).

tff(c_3551,plain,
    ( familiar(n5,n3)
    | familiar(n6,n5) ),
    inference(demodulation,[status(thm),theory(equality)],[c_10,c_72,c_3538]) ).

tff(c_4089,plain,
    familiar(n6,n5),
    inference(splitLeft,[status(thm)],[c_3551]) ).

tff(c_4270,plain,
    ! [X2_193] :
      ( ~ familiar(X2_193,n6)
      | ~ familiar(n5,X2_193) ),
    inference(resolution,[status(thm)],[c_4089,c_80]) ).

tff(c_4279,plain,
    ~ familiar(n5,n1),
    inference(resolution,[status(thm)],[c_3564,c_4270]) ).

tff(c_3542,plain,
    ( familiar(n4,n3)
    | ~ not_equal(n6,n4)
    | ~ person(n4)
    | familiar(n6,n4) ),
    inference(resolution,[status(thm)],[c_48,c_3532]) ).

tff(c_3557,plain,
    ( familiar(n4,n3)
    | familiar(n6,n4) ),
    inference(demodulation,[status(thm),theory(equality)],[c_8,c_70,c_3542]) ).

tff(c_3572,plain,
    familiar(n6,n4),
    inference(splitLeft,[status(thm)],[c_3557]) ).

tff(c_3578,plain,
    familiar(n4,n6),
    inference(resolution,[status(thm)],[c_3572,c_76]) ).

tff(c_4278,plain,
    ~ familiar(n5,n4),
    inference(resolution,[status(thm)],[c_3578,c_4270]) ).

tff(c_4082,plain,
    ! [X2_188] :
      ( ~ familiar(X2_188,n6)
      | ~ familiar(n4,X2_188) ),
    inference(resolution,[status(thm)],[c_3572,c_80]) ).

tff(c_4088,plain,
    ~ familiar(n4,n1),
    inference(resolution,[status(thm)],[c_3564,c_4082]) ).

tff(c_4106,plain,
    ! [Y_189,Y_190,X_191] :
      ( ~ not_equal(Y_189,Y_190)
      | familiar(Y_189,Y_190)
      | ~ not_equal(X_191,Y_189)
      | ~ person(Y_189)
      | familiar(X_191,Y_189)
      | ~ not_equal(X_191,Y_190)
      | ~ person(Y_190)
      | ~ person(X_191)
      | familiar(X_191,Y_190) ),
    inference(resolution,[status(thm)],[c_93,c_115]) ).

tff(c_4134,plain,
    ! [X_191] :
      ( familiar(n4,n1)
      | ~ not_equal(X_191,n4)
      | ~ person(n4)
      | familiar(X_191,n4)
      | ~ not_equal(X_191,n1)
      | ~ person(n1)
      | ~ person(X_191)
      | familiar(X_191,n1) ),
    inference(resolution,[status(thm)],[c_44,c_4106]) ).

tff(c_4209,plain,
    ! [X_191] :
      ( familiar(n4,n1)
      | ~ not_equal(X_191,n4)
      | familiar(X_191,n4)
      | ~ not_equal(X_191,n1)
      | ~ person(X_191)
      | familiar(X_191,n1) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_8,c_4134]) ).

tff(c_4361,plain,
    ! [X_201] :
      ( ~ not_equal(X_201,n4)
      | familiar(X_201,n4)
      | ~ not_equal(X_201,n1)
      | ~ person(X_201)
      | familiar(X_201,n1) ),
    inference(negUnitSimplification,[status(thm)],[c_4088,c_4209]) ).

tff(c_4373,plain,
    ( familiar(n5,n4)
    | ~ not_equal(n5,n1)
    | ~ person(n5)
    | familiar(n5,n1) ),
    inference(resolution,[status(thm)],[c_60,c_4361]) ).

tff(c_4389,plain,
    ( familiar(n5,n4)
    | familiar(n5,n1) ),
    inference(demodulation,[status(thm),theory(equality)],[c_10,c_54,c_4373]) ).

tff(c_4391,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_4279,c_4278,c_4389]) ).

tff(c_4393,plain,
    ~ familiar(n6,n5),
    inference(splitRight,[status(thm)],[c_3551]) ).

tff(c_66,plain,
    not_equal(n6,n2),
    inference(cnfTransformation,[status(thm)],[f_56]) ).

tff(c_3540,plain,
    ( familiar(n2,n3)
    | ~ not_equal(n6,n2)
    | ~ person(n2)
    | familiar(n6,n2) ),
    inference(resolution,[status(thm)],[c_26,c_3532]) ).

tff(c_3554,plain,
    ( familiar(n2,n3)
    | familiar(n6,n2) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_66,c_3540]) ).

tff(c_3738,plain,
    familiar(n6,n2),
    inference(splitLeft,[status(thm)],[c_3554]) ).

tff(c_3744,plain,
    familiar(n2,n6),
    inference(resolution,[status(thm)],[c_3738,c_76]) ).

tff(c_3766,plain,
    ! [X2_174] :
      ( ~ familiar(X2_174,n6)
      | ~ familiar(n4,X2_174) ),
    inference(resolution,[status(thm)],[c_3572,c_80]) ).

tff(c_3776,plain,
    ~ familiar(n4,n2),
    inference(resolution,[status(thm)],[c_3744,c_3766]) ).

tff(c_3989,plain,
    ! [X2_181] :
      ( ~ familiar(X2_181,n6)
      | ~ familiar(n1,X2_181) ),
    inference(resolution,[status(thm)],[c_3558,c_80]) ).

tff(c_4000,plain,
    ~ familiar(n1,n4),
    inference(resolution,[status(thm)],[c_3578,c_3989]) ).

tff(c_3999,plain,
    ~ familiar(n1,n2),
    inference(resolution,[status(thm)],[c_3744,c_3989]) ).

tff(c_3579,plain,
    ! [X_171,Y_172,X_173] :
      ( ~ not_equal(X_171,Y_172)
      | familiar(X_171,Y_172)
      | ~ not_equal(X_171,X_173)
      | ~ person(X_171)
      | familiar(X_171,X_173)
      | ~ not_equal(X_173,Y_172)
      | ~ person(Y_172)
      | ~ person(X_173)
      | familiar(X_173,Y_172) ),
    inference(resolution,[status(thm)],[c_93,c_122]) ).

tff(c_3635,plain,
    ! [X_173] :
      ( familiar(n1,n2)
      | ~ not_equal(n1,X_173)
      | ~ person(n1)
      | familiar(n1,X_173)
      | ~ not_equal(X_173,n2)
      | ~ person(n2)
      | ~ person(X_173)
      | familiar(X_173,n2) ),
    inference(resolution,[status(thm)],[c_14,c_3579]) ).

tff(c_3724,plain,
    ! [X_173] :
      ( familiar(n1,n2)
      | ~ not_equal(n1,X_173)
      | familiar(n1,X_173)
      | ~ not_equal(X_173,n2)
      | ~ person(X_173)
      | familiar(X_173,n2) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_2,c_3635]) ).

tff(c_4048,plain,
    ! [X_187] :
      ( ~ not_equal(n1,X_187)
      | familiar(n1,X_187)
      | ~ not_equal(X_187,n2)
      | ~ person(X_187)
      | familiar(X_187,n2) ),
    inference(negUnitSimplification,[status(thm)],[c_3999,c_3724]) ).

tff(c_4052,plain,
    ( familiar(n1,n4)
    | ~ not_equal(n4,n2)
    | ~ person(n4)
    | familiar(n4,n2) ),
    inference(resolution,[status(thm)],[c_18,c_4048]) ).

tff(c_4064,plain,
    ( familiar(n1,n4)
    | familiar(n4,n2) ),
    inference(demodulation,[status(thm),theory(equality)],[c_8,c_46,c_4052]) ).

tff(c_4066,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_3776,c_4000,c_4064]) ).

tff(c_4067,plain,
    familiar(n2,n3),
    inference(splitRight,[status(thm)],[c_3554]) ).

tff(c_4392,plain,
    familiar(n5,n3),
    inference(splitRight,[status(thm)],[c_3551]) ).

tff(c_4399,plain,
    familiar(n3,n5),
    inference(resolution,[status(thm)],[c_4392,c_76]) ).

tff(c_4617,plain,
    ! [X2_211] :
      ( ~ familiar(X2_211,n3)
      | ~ familiar(n5,X2_211) ),
    inference(resolution,[status(thm)],[c_4399,c_80]) ).

tff(c_4623,plain,
    ~ familiar(n5,n2),
    inference(resolution,[status(thm)],[c_4067,c_4617]) ).

tff(c_4068,plain,
    ~ familiar(n6,n2),
    inference(splitRight,[status(thm)],[c_3554]) ).

tff(c_4414,plain,
    ! [Y_203,Y_204,X_205] :
      ( ~ not_equal(Y_203,Y_204)
      | familiar(Y_203,Y_204)
      | ~ not_equal(X_205,Y_203)
      | ~ person(Y_203)
      | familiar(X_205,Y_203)
      | ~ not_equal(X_205,Y_204)
      | ~ person(Y_204)
      | ~ person(X_205)
      | familiar(X_205,Y_204) ),
    inference(resolution,[status(thm)],[c_93,c_115]) ).

tff(c_4450,plain,
    ! [X_205] :
      ( familiar(n6,n2)
      | ~ not_equal(X_205,n6)
      | ~ person(n6)
      | familiar(X_205,n6)
      | ~ not_equal(X_205,n2)
      | ~ person(n2)
      | ~ person(X_205)
      | familiar(X_205,n2) ),
    inference(resolution,[status(thm)],[c_66,c_4414]) ).

tff(c_4530,plain,
    ! [X_205] :
      ( familiar(n6,n2)
      | ~ not_equal(X_205,n6)
      | familiar(X_205,n6)
      | ~ not_equal(X_205,n2)
      | ~ person(X_205)
      | familiar(X_205,n2) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_12,c_4450]) ).

tff(c_4715,plain,
    ! [X_215] :
      ( ~ not_equal(X_215,n6)
      | familiar(X_215,n6)
      | ~ not_equal(X_215,n2)
      | ~ person(X_215)
      | familiar(X_215,n2) ),
    inference(negUnitSimplification,[status(thm)],[c_4068,c_4530]) ).

tff(c_4724,plain,
    ( familiar(n5,n6)
    | ~ not_equal(n5,n2)
    | ~ person(n5)
    | familiar(n5,n2) ),
    inference(resolution,[status(thm)],[c_62,c_4715]) ).

tff(c_4741,plain,
    ( familiar(n5,n6)
    | familiar(n5,n2) ),
    inference(demodulation,[status(thm),theory(equality)],[c_10,c_56,c_4724]) ).

tff(c_4742,plain,
    familiar(n5,n6),
    inference(negUnitSimplification,[status(thm)],[c_4623,c_4741]) ).

tff(c_4756,plain,
    familiar(n6,n5),
    inference(resolution,[status(thm)],[c_4742,c_76]) ).

tff(c_4763,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_4393,c_4756]) ).

tff(c_4764,plain,
    familiar(n4,n3),
    inference(splitRight,[status(thm)],[c_3557]) ).

tff(c_4779,plain,
    familiar(n6,n5),
    inference(splitLeft,[status(thm)],[c_3551]) ).

tff(c_4785,plain,
    familiar(n5,n6),
    inference(resolution,[status(thm)],[c_4779,c_76]) ).

tff(c_4793,plain,
    familiar(n6,n2),
    inference(splitLeft,[status(thm)],[c_3554]) ).

tff(c_4960,plain,
    ! [X2_219] :
      ( ~ familiar(X2_219,n6)
      | ~ familiar(n2,X2_219) ),
    inference(resolution,[status(thm)],[c_4793,c_80]) ).

tff(c_4968,plain,
    ~ familiar(n2,n5),
    inference(resolution,[status(thm)],[c_4785,c_4960]) ).

tff(c_4799,plain,
    familiar(n2,n6),
    inference(resolution,[status(thm)],[c_4793,c_76]) ).

tff(c_4970,plain,
    ! [X2_220] :
      ( ~ familiar(X2_220,n6)
      | ~ familiar(n1,X2_220) ),
    inference(resolution,[status(thm)],[c_3558,c_80]) ).

tff(c_4977,plain,
    ~ familiar(n1,n2),
    inference(resolution,[status(thm)],[c_4799,c_4970]) ).

tff(c_4978,plain,
    ~ familiar(n1,n5),
    inference(resolution,[status(thm)],[c_4785,c_4970]) ).

tff(c_4980,plain,
    ! [X_221,Y_222,X_223] :
      ( ~ not_equal(X_221,Y_222)
      | familiar(X_221,Y_222)
      | ~ not_equal(X_221,X_223)
      | ~ person(X_221)
      | familiar(X_221,X_223)
      | ~ not_equal(X_223,Y_222)
      | ~ person(Y_222)
      | ~ person(X_223)
      | familiar(X_223,Y_222) ),
    inference(resolution,[status(thm)],[c_93,c_122]) ).

tff(c_5028,plain,
    ! [X_223] :
      ( familiar(n1,n5)
      | ~ not_equal(n1,X_223)
      | ~ person(n1)
      | familiar(n1,X_223)
      | ~ not_equal(X_223,n5)
      | ~ person(n5)
      | ~ person(X_223)
      | familiar(X_223,n5) ),
    inference(resolution,[status(thm)],[c_20,c_4980]) ).

tff(c_5115,plain,
    ! [X_223] :
      ( familiar(n1,n5)
      | ~ not_equal(n1,X_223)
      | familiar(n1,X_223)
      | ~ not_equal(X_223,n5)
      | ~ person(X_223)
      | familiar(X_223,n5) ),
    inference(demodulation,[status(thm),theory(equality)],[c_10,c_2,c_5028]) ).

tff(c_5288,plain,
    ! [X_234] :
      ( ~ not_equal(n1,X_234)
      | familiar(n1,X_234)
      | ~ not_equal(X_234,n5)
      | ~ person(X_234)
      | familiar(X_234,n5) ),
    inference(negUnitSimplification,[status(thm)],[c_4978,c_5115]) ).

tff(c_5298,plain,
    ( familiar(n1,n2)
    | ~ not_equal(n2,n5)
    | ~ person(n2)
    | familiar(n2,n5) ),
    inference(resolution,[status(thm)],[c_14,c_5288]) ).

tff(c_5314,plain,
    ( familiar(n1,n2)
    | familiar(n2,n5) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_30,c_5298]) ).

tff(c_5316,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_4968,c_4977,c_5314]) ).

tff(c_5318,plain,
    ~ familiar(n6,n2),
    inference(splitRight,[status(thm)],[c_3554]) ).

tff(c_5317,plain,
    familiar(n2,n3),
    inference(splitRight,[status(thm)],[c_3554]) ).

tff(c_5324,plain,
    familiar(n3,n2),
    inference(resolution,[status(thm)],[c_5317,c_76]) ).

tff(c_5681,plain,
    ! [X2_248] :
      ( ~ familiar(X2_248,n3)
      | ~ familiar(n2,X2_248) ),
    inference(resolution,[status(thm)],[c_5324,c_80]) ).

tff(c_5687,plain,
    ~ familiar(n2,n4),
    inference(resolution,[status(thm)],[c_4764,c_5681]) ).

tff(c_4765,plain,
    ~ familiar(n6,n4),
    inference(splitRight,[status(thm)],[c_3557]) ).

tff(c_5520,plain,
    ! [Y_244,Y_245,X_246] :
      ( ~ not_equal(Y_244,Y_245)
      | familiar(Y_244,Y_245)
      | ~ not_equal(X_246,Y_244)
      | ~ person(Y_244)
      | familiar(X_246,Y_244)
      | ~ not_equal(X_246,Y_245)
      | ~ person(Y_245)
      | ~ person(X_246)
      | familiar(X_246,Y_245) ),
    inference(resolution,[status(thm)],[c_93,c_115]) ).

tff(c_5580,plain,
    ! [X_246] :
      ( familiar(n6,n4)
      | ~ not_equal(X_246,n6)
      | ~ person(n6)
      | familiar(X_246,n6)
      | ~ not_equal(X_246,n4)
      | ~ person(n4)
      | ~ person(X_246)
      | familiar(X_246,n4) ),
    inference(resolution,[status(thm)],[c_70,c_5520]) ).

tff(c_5675,plain,
    ! [X_246] :
      ( familiar(n6,n4)
      | ~ not_equal(X_246,n6)
      | familiar(X_246,n6)
      | ~ not_equal(X_246,n4)
      | ~ person(X_246)
      | familiar(X_246,n4) ),
    inference(demodulation,[status(thm),theory(equality)],[c_8,c_12,c_5580]) ).

tff(c_5749,plain,
    ! [X_251] :
      ( ~ not_equal(X_251,n6)
      | familiar(X_251,n6)
      | ~ not_equal(X_251,n4)
      | ~ person(X_251)
      | familiar(X_251,n4) ),
    inference(negUnitSimplification,[status(thm)],[c_4765,c_5675]) ).

tff(c_5755,plain,
    ( familiar(n2,n6)
    | ~ not_equal(n2,n4)
    | ~ person(n2)
    | familiar(n2,n4) ),
    inference(resolution,[status(thm)],[c_32,c_5749]) ).

tff(c_5771,plain,
    ( familiar(n2,n6)
    | familiar(n2,n4) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_28,c_5755]) ).

tff(c_5772,plain,
    familiar(n2,n6),
    inference(negUnitSimplification,[status(thm)],[c_5687,c_5771]) ).

tff(c_5790,plain,
    familiar(n6,n2),
    inference(resolution,[status(thm)],[c_5772,c_76]) ).

tff(c_5797,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_5318,c_5790]) ).

tff(c_5798,plain,
    familiar(n5,n3),
    inference(splitRight,[status(thm)],[c_3551]) ).

tff(c_5805,plain,
    familiar(n3,n5),
    inference(resolution,[status(thm)],[c_5798,c_76]) ).

tff(c_6166,plain,
    ! [X2_263] :
      ( ~ familiar(X2_263,n3)
      | ~ familiar(n5,X2_263) ),
    inference(resolution,[status(thm)],[c_5805,c_80]) ).

tff(c_6172,plain,
    ~ familiar(n5,n4),
    inference(resolution,[status(thm)],[c_4764,c_6166]) ).

tff(c_5799,plain,
    ~ familiar(n6,n5),
    inference(splitRight,[status(thm)],[c_3551]) ).

tff(c_5831,plain,
    ! [X_253,Y_254,X_255] :
      ( ~ not_equal(X_253,Y_254)
      | familiar(X_253,Y_254)
      | ~ not_equal(X_253,X_255)
      | ~ person(X_253)
      | familiar(X_253,X_255)
      | ~ not_equal(X_255,Y_254)
      | ~ person(Y_254)
      | ~ person(X_255)
      | familiar(X_255,Y_254) ),
    inference(resolution,[status(thm)],[c_93,c_122]) ).

tff(c_5891,plain,
    ! [X_255] :
      ( familiar(n6,n4)
      | ~ not_equal(n6,X_255)
      | ~ person(n6)
      | familiar(n6,X_255)
      | ~ not_equal(X_255,n4)
      | ~ person(n4)
      | ~ person(X_255)
      | familiar(X_255,n4) ),
    inference(resolution,[status(thm)],[c_70,c_5831]) ).

tff(c_5983,plain,
    ! [X_255] :
      ( familiar(n6,n4)
      | ~ not_equal(n6,X_255)
      | familiar(n6,X_255)
      | ~ not_equal(X_255,n4)
      | ~ person(X_255)
      | familiar(X_255,n4) ),
    inference(demodulation,[status(thm),theory(equality)],[c_8,c_12,c_5891]) ).

tff(c_6242,plain,
    ! [X_268] :
      ( ~ not_equal(n6,X_268)
      | familiar(n6,X_268)
      | ~ not_equal(X_268,n4)
      | ~ person(X_268)
      | familiar(X_268,n4) ),
    inference(negUnitSimplification,[status(thm)],[c_4765,c_5983]) ).

tff(c_6250,plain,
    ( familiar(n6,n5)
    | ~ not_equal(n5,n4)
    | ~ person(n5)
    | familiar(n5,n4) ),
    inference(resolution,[status(thm)],[c_72,c_6242]) ).

tff(c_6264,plain,
    ( familiar(n6,n5)
    | familiar(n5,n4) ),
    inference(demodulation,[status(thm),theory(equality)],[c_10,c_60,c_6250]) ).

tff(c_6266,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_6172,c_5799,c_6264]) ).

tff(c_6268,plain,
    ~ familiar(n6,n1),
    inference(splitRight,[status(thm)],[c_3548]) ).

tff(c_6282,plain,
    familiar(n6,n4),
    inference(splitLeft,[status(thm)],[c_3557]) ).

tff(c_6441,plain,
    familiar(n4,n6),
    inference(resolution,[status(thm)],[c_6282,c_76]) ).

tff(c_6449,plain,
    familiar(n6,n2),
    inference(splitLeft,[status(thm)],[c_3554]) ).

tff(c_6644,plain,
    ! [X2_277] :
      ( ~ familiar(X2_277,n6)
      | ~ familiar(n2,X2_277) ),
    inference(resolution,[status(thm)],[c_6449,c_80]) ).

tff(c_6653,plain,
    ~ familiar(n2,n4),
    inference(resolution,[status(thm)],[c_6441,c_6644]) ).

tff(c_6467,plain,
    familiar(n6,n5),
    inference(splitLeft,[status(thm)],[c_3551]) ).

tff(c_6634,plain,
    ! [X2_276] :
      ( ~ familiar(X2_276,n6)
      | ~ familiar(n5,X2_276) ),
    inference(resolution,[status(thm)],[c_6467,c_80]) ).

tff(c_6643,plain,
    ~ familiar(n5,n4),
    inference(resolution,[status(thm)],[c_6441,c_6634]) ).

tff(c_6459,plain,
    familiar(n2,n6),
    inference(resolution,[status(thm)],[c_6449,c_76]) ).

tff(c_6642,plain,
    ~ familiar(n5,n2),
    inference(resolution,[status(thm)],[c_6459,c_6634]) ).

tff(c_346,plain,
    ! [Y_50] :
      ( familiar(n5,n2)
      | ~ not_equal(n5,Y_50)
      | ~ person(n5)
      | familiar(n5,Y_50)
      | ~ not_equal(n2,Y_50)
      | ~ person(Y_50)
      | ~ person(n2)
      | familiar(n2,Y_50) ),
    inference(resolution,[status(thm)],[c_56,c_294]) ).

tff(c_432,plain,
    ! [Y_50] :
      ( familiar(n5,n2)
      | ~ not_equal(n5,Y_50)
      | familiar(n5,Y_50)
      | ~ not_equal(n2,Y_50)
      | ~ person(Y_50)
      | familiar(n2,Y_50) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_10,c_346]) ).

tff(c_6839,plain,
    ! [Y_289] :
      ( ~ not_equal(n5,Y_289)
      | familiar(n5,Y_289)
      | ~ not_equal(n2,Y_289)
      | ~ person(Y_289)
      | familiar(n2,Y_289) ),
    inference(negUnitSimplification,[status(thm)],[c_6642,c_432]) ).

tff(c_6851,plain,
    ( familiar(n5,n4)
    | ~ not_equal(n2,n4)
    | ~ person(n4)
    | familiar(n2,n4) ),
    inference(resolution,[status(thm)],[c_60,c_6839]) ).

tff(c_6867,plain,
    ( familiar(n5,n4)
    | familiar(n2,n4) ),
    inference(demodulation,[status(thm),theory(equality)],[c_8,c_28,c_6851]) ).

tff(c_6869,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_6653,c_6643,c_6867]) ).

tff(c_6871,plain,
    ~ familiar(n6,n5),
    inference(splitRight,[status(thm)],[c_3551]) ).

tff(c_6267,plain,
    familiar(n1,n3),
    inference(splitRight,[status(thm)],[c_3548]) ).

tff(c_6870,plain,
    familiar(n5,n3),
    inference(splitRight,[status(thm)],[c_3551]) ).

tff(c_6877,plain,
    familiar(n3,n5),
    inference(resolution,[status(thm)],[c_6870,c_76]) ).

tff(c_7074,plain,
    ! [X2_299] :
      ( ~ familiar(X2_299,n3)
      | ~ familiar(n5,X2_299) ),
    inference(resolution,[status(thm)],[c_6877,c_80]) ).

tff(c_7080,plain,
    ~ familiar(n5,n1),
    inference(resolution,[status(thm)],[c_6267,c_7074]) ).

tff(c_6899,plain,
    ! [Y_292,Y_293,X_294] :
      ( ~ not_equal(Y_292,Y_293)
      | familiar(Y_292,Y_293)
      | ~ not_equal(X_294,Y_292)
      | ~ person(Y_292)
      | familiar(X_294,Y_292)
      | ~ not_equal(X_294,Y_293)
      | ~ person(Y_293)
      | ~ person(X_294)
      | familiar(X_294,Y_293) ),
    inference(resolution,[status(thm)],[c_93,c_115]) ).

tff(c_6933,plain,
    ! [X_294] :
      ( familiar(n6,n1)
      | ~ not_equal(X_294,n6)
      | ~ person(n6)
      | familiar(X_294,n6)
      | ~ not_equal(X_294,n1)
      | ~ person(n1)
      | ~ person(X_294)
      | familiar(X_294,n1) ),
    inference(resolution,[status(thm)],[c_64,c_6899]) ).

tff(c_7013,plain,
    ! [X_294] :
      ( familiar(n6,n1)
      | ~ not_equal(X_294,n6)
      | familiar(X_294,n6)
      | ~ not_equal(X_294,n1)
      | ~ person(X_294)
      | familiar(X_294,n1) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_12,c_6933]) ).

tff(c_7081,plain,
    ! [X_300] :
      ( ~ not_equal(X_300,n6)
      | familiar(X_300,n6)
      | ~ not_equal(X_300,n1)
      | ~ person(X_300)
      | familiar(X_300,n1) ),
    inference(negUnitSimplification,[status(thm)],[c_6268,c_7013]) ).

tff(c_7090,plain,
    ( familiar(n5,n6)
    | ~ not_equal(n5,n1)
    | ~ person(n5)
    | familiar(n5,n1) ),
    inference(resolution,[status(thm)],[c_62,c_7081]) ).

tff(c_7106,plain,
    ( familiar(n5,n6)
    | familiar(n5,n1) ),
    inference(demodulation,[status(thm),theory(equality)],[c_10,c_54,c_7090]) ).

tff(c_7114,plain,
    familiar(n5,n6),
    inference(negUnitSimplification,[status(thm)],[c_7080,c_7106]) ).

tff(c_7122,plain,
    familiar(n6,n5),
    inference(resolution,[status(thm)],[c_7114,c_76]) ).

tff(c_7129,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_6871,c_7122]) ).

tff(c_7131,plain,
    ~ familiar(n6,n2),
    inference(splitRight,[status(thm)],[c_3554]) ).

tff(c_7130,plain,
    familiar(n2,n3),
    inference(splitRight,[status(thm)],[c_3554]) ).

tff(c_7137,plain,
    familiar(n3,n2),
    inference(resolution,[status(thm)],[c_7130,c_76]) ).

tff(c_7163,plain,
    ! [Y_302,Y_303,X_304] :
      ( ~ not_equal(Y_302,Y_303)
      | familiar(Y_302,Y_303)
      | ~ not_equal(X_304,Y_302)
      | ~ person(Y_302)
      | familiar(X_304,Y_302)
      | ~ not_equal(X_304,Y_303)
      | ~ person(Y_303)
      | ~ person(X_304)
      | familiar(X_304,Y_303) ),
    inference(resolution,[status(thm)],[c_93,c_115]) ).

tff(c_7197,plain,
    ! [X_304] :
      ( familiar(n6,n1)
      | ~ not_equal(X_304,n6)
      | ~ person(n6)
      | familiar(X_304,n6)
      | ~ not_equal(X_304,n1)
      | ~ person(n1)
      | ~ person(X_304)
      | familiar(X_304,n1) ),
    inference(resolution,[status(thm)],[c_64,c_7163]) ).

tff(c_7275,plain,
    ! [X_304] :
      ( familiar(n6,n1)
      | ~ not_equal(X_304,n6)
      | familiar(X_304,n6)
      | ~ not_equal(X_304,n1)
      | ~ person(X_304)
      | familiar(X_304,n1) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_12,c_7197]) ).

tff(c_7342,plain,
    ! [X_309] :
      ( ~ not_equal(X_309,n6)
      | familiar(X_309,n6)
      | ~ not_equal(X_309,n1)
      | ~ person(X_309)
      | familiar(X_309,n1) ),
    inference(negUnitSimplification,[status(thm)],[c_6268,c_7275]) ).

tff(c_7348,plain,
    ( familiar(n2,n6)
    | ~ not_equal(n2,n1)
    | ~ person(n2)
    | familiar(n2,n1) ),
    inference(resolution,[status(thm)],[c_32,c_7342]) ).

tff(c_7364,plain,
    ( familiar(n2,n6)
    | familiar(n2,n1) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_24,c_7348]) ).

tff(c_7374,plain,
    familiar(n2,n1),
    inference(splitLeft,[status(thm)],[c_7364]) ).

tff(c_6273,plain,
    ! [X2_8] :
      ( ~ familiar(X2_8,n1)
      | ~ familiar(n3,X2_8) ),
    inference(resolution,[status(thm)],[c_6267,c_80]) ).

tff(c_7383,plain,
    ~ familiar(n3,n2),
    inference(resolution,[status(thm)],[c_7374,c_6273]) ).

tff(c_7391,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_7137,c_7383]) ).

tff(c_7392,plain,
    familiar(n2,n6),
    inference(splitRight,[status(thm)],[c_7364]) ).

tff(c_7401,plain,
    familiar(n6,n2),
    inference(resolution,[status(thm)],[c_7392,c_76]) ).

tff(c_7408,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_7131,c_7401]) ).

tff(c_7409,plain,
    familiar(n4,n3),
    inference(splitRight,[status(thm)],[c_3557]) ).

tff(c_6274,plain,
    familiar(n3,n1),
    inference(resolution,[status(thm)],[c_6267,c_76]) ).

tff(c_7782,plain,
    ! [X2_321] :
      ( ~ familiar(X2_321,n3)
      | ~ familiar(n1,X2_321) ),
    inference(resolution,[status(thm)],[c_6274,c_80]) ).

tff(c_7787,plain,
    ~ familiar(n1,n4),
    inference(resolution,[status(thm)],[c_7409,c_7782]) ).

tff(c_7410,plain,
    ~ familiar(n6,n4),
    inference(splitRight,[status(thm)],[c_3557]) ).

tff(c_7614,plain,
    ! [Y_316,Y_317,X_318] :
      ( ~ not_equal(Y_316,Y_317)
      | familiar(Y_316,Y_317)
      | ~ not_equal(X_318,Y_316)
      | ~ person(Y_316)
      | familiar(X_318,Y_316)
      | ~ not_equal(X_318,Y_317)
      | ~ person(Y_317)
      | ~ person(X_318)
      | familiar(X_318,Y_317) ),
    inference(resolution,[status(thm)],[c_93,c_115]) ).

tff(c_7674,plain,
    ! [X_318] :
      ( familiar(n6,n4)
      | ~ not_equal(X_318,n6)
      | ~ person(n6)
      | familiar(X_318,n6)
      | ~ not_equal(X_318,n4)
      | ~ person(n4)
      | ~ person(X_318)
      | familiar(X_318,n4) ),
    inference(resolution,[status(thm)],[c_70,c_7614]) ).

tff(c_7766,plain,
    ! [X_318] :
      ( familiar(n6,n4)
      | ~ not_equal(X_318,n6)
      | familiar(X_318,n6)
      | ~ not_equal(X_318,n4)
      | ~ person(X_318)
      | familiar(X_318,n4) ),
    inference(demodulation,[status(thm),theory(equality)],[c_8,c_12,c_7674]) ).

tff(c_7789,plain,
    ! [X_322] :
      ( ~ not_equal(X_322,n6)
      | familiar(X_322,n6)
      | ~ not_equal(X_322,n4)
      | ~ person(X_322)
      | familiar(X_322,n4) ),
    inference(negUnitSimplification,[status(thm)],[c_7410,c_7766]) ).

tff(c_7801,plain,
    ( familiar(n1,n6)
    | ~ not_equal(n1,n4)
    | ~ person(n1)
    | familiar(n1,n4) ),
    inference(resolution,[status(thm)],[c_22,c_7789]) ).

tff(c_7817,plain,
    ( familiar(n1,n6)
    | familiar(n1,n4) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_18,c_7801]) ).

tff(c_7818,plain,
    familiar(n1,n6),
    inference(negUnitSimplification,[status(thm)],[c_7787,c_7817]) ).

tff(c_7829,plain,
    familiar(n6,n1),
    inference(resolution,[status(thm)],[c_7818,c_76]) ).

tff(c_7836,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_6268,c_7829]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : PUZ028-6 : TPTP v8.1.2. Released v2.0.0.
% 0.11/0.14  % 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
% 0.14/0.35  % Computer : n018.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu Aug  3 17:44:50 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 10.55/3.64  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.76/3.73  
% 10.76/3.73  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 11.08/3.81  
% 11.08/3.81  Inference rules
% 11.08/3.81  ----------------------
% 11.08/3.81  #Ref     : 0
% 11.08/3.81  #Sup     : 1652
% 11.08/3.81  #Fact    : 0
% 11.08/3.81  #Define  : 0
% 11.08/3.81  #Split   : 56
% 11.08/3.81  #Chain   : 0
% 11.08/3.81  #Close   : 0
% 11.08/3.81  
% 11.08/3.81  Ordering : KBO
% 11.08/3.81  
% 11.08/3.81  Simplification rules
% 11.08/3.81  ----------------------
% 11.08/3.81  #Subsume      : 120
% 11.08/3.81  #Demod        : 2311
% 11.08/3.81  #Tautology    : 389
% 11.08/3.81  #SimpNegUnit  : 203
% 11.08/3.81  #BackRed      : 0
% 11.08/3.81  
% 11.08/3.81  #Partial instantiations: 0
% 11.08/3.81  #Strategies tried      : 1
% 11.08/3.81  
% 11.08/3.81  Timing (in seconds)
% 11.08/3.81  ----------------------
% 11.08/3.82  Preprocessing        : 0.51
% 11.08/3.82  Parsing              : 0.27
% 11.08/3.82  CNF conversion       : 0.03
% 11.08/3.82  Main loop            : 2.08
% 11.08/3.82  Inferencing          : 0.74
% 11.08/3.82  Reduction            : 0.72
% 11.08/3.82  Demodulation         : 0.53
% 11.08/3.82  BG Simplification    : 0.06
% 11.08/3.82  Subsumption          : 0.44
% 11.08/3.82  Abstraction          : 0.05
% 11.08/3.82  MUC search           : 0.00
% 11.08/3.82  Cooper               : 0.00
% 11.08/3.82  Total                : 2.78
% 11.08/3.82  Index Insertion      : 0.00
% 11.08/3.82  Index Deletion       : 0.00
% 11.08/3.82  Index Matching       : 0.00
% 11.08/3.82  BG Taut test         : 0.00
%------------------------------------------------------------------------------