TSTP Solution File: PUZ028-6 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : PUZ028-6 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n031.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 : Thu Aug 31 13:12:12 EDT 2023

% Result   : Unsatisfiable 0.83s 0.92s
% Output   : CNFRefutation 0.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   46
%            Number of leaves      :   50
% Syntax   : Number of formulae    :  435 (  79 unt;  10 typ;   0 def)
%            Number of atoms       : 1063 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  880 ( 242   ~; 638   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   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   :   87 (   0 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    n1: $i ).

tff(decl_23,type,
    person: $i > $o ).

tff(decl_24,type,
    n2: $i ).

tff(decl_25,type,
    n3: $i ).

tff(decl_26,type,
    n4: $i ).

tff(decl_27,type,
    n5: $i ).

tff(decl_28,type,
    n6: $i ).

tff(decl_29,type,
    not_equal: ( $i * $i ) > $o ).

tff(decl_30,type,
    familiar: ( $i * $i ) > $o ).

tff(decl_31,type,
    not_familiar: ( $i * $i ) > $o ).

cnf(familiar_or_not,axiom,
    ( familiar(X1,X2)
    | not_familiar(X1,X2)
    | ~ person(X1)
    | ~ person(X2)
    | ~ not_equal(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',familiar_or_not) ).

cnf(not_equal_6_2,axiom,
    not_equal(n6,n2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_6_2) ).

cnf(person_2,axiom,
    person(n2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',person_2) ).

cnf(person_6,axiom,
    person(n6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',person_6) ).

cnf(three_not_familiar,negated_conjecture,
    ( ~ not_familiar(X1,X2)
    | ~ not_familiar(X2,X3)
    | ~ not_familiar(X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',three_not_familiar) ).

cnf(not_equal_3_6,axiom,
    not_equal(n3,n6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_3_6) ).

cnf(person_3,axiom,
    person(n3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',person_3) ).

cnf(not_equal_2_3,axiom,
    not_equal(n2,n3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_2_3) ).

cnf(not_equal_2_1,axiom,
    not_equal(n2,n1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_2_1) ).

cnf(person_1,axiom,
    person(n1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',person_1) ).

cnf(not_equal_1_3,axiom,
    not_equal(n1,n3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_1_3) ).

cnf(not_equal_1_6,axiom,
    not_equal(n1,n6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_1_6) ).

cnf(symmetry_of_not_familiar,axiom,
    ( not_familiar(X2,X1)
    | ~ not_familiar(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_not_familiar) ).

cnf(not_equal_5_3,axiom,
    not_equal(n5,n3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_5_3) ).

cnf(person_5,axiom,
    person(n5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',person_5) ).

cnf(not_equal_5_6,axiom,
    not_equal(n5,n6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_5_6) ).

cnf(not_equal_4_3,axiom,
    not_equal(n4,n3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_4_3) ).

cnf(person_4,axiom,
    person(n4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',person_4) ).

cnf(not_equal_4_6,axiom,
    not_equal(n4,n6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_4_6) ).

cnf(three_familiar,negated_conjecture,
    ( ~ familiar(X1,X2)
    | ~ familiar(X2,X3)
    | ~ familiar(X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',three_familiar) ).

cnf(not_equal_2_5,axiom,
    not_equal(n2,n5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_2_5) ).

cnf(not_equal_2_4,axiom,
    not_equal(n2,n4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_2_4) ).

cnf(not_equal_4_5,axiom,
    not_equal(n4,n5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_4_5) ).

cnf(not_equal_5_4,axiom,
    not_equal(n5,n4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_5_4) ).

cnf(not_equal_3_5,axiom,
    not_equal(n3,n5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_3_5) ).

cnf(symmetry_of_familiar,axiom,
    ( familiar(X2,X1)
    | ~ familiar(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_familiar) ).

cnf(not_equal_1_5,axiom,
    not_equal(n1,n5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_1_5) ).

cnf(not_equal_1_4,axiom,
    not_equal(n1,n4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_1_4) ).

cnf(not_equal_4_1,axiom,
    not_equal(n4,n1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_4_1) ).

cnf(not_equal_5_2,axiom,
    not_equal(n5,n2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_5_2) ).

cnf(not_equal_6_4,axiom,
    not_equal(n6,n4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_6_4) ).

cnf(not_equal_3_1,axiom,
    not_equal(n3,n1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_3_1) ).

cnf(not_equal_3_4,axiom,
    not_equal(n3,n4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_3_4) ).

cnf(not_equal_4_2,axiom,
    not_equal(n4,n2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_4_2) ).

cnf(not_equal_5_1,axiom,
    not_equal(n5,n1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_5_1) ).

cnf(not_equal_1_2,axiom,
    not_equal(n1,n2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_1_2) ).

cnf(not_equal_6_1,axiom,
    not_equal(n6,n1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_6_1) ).

cnf(not_equal_2_6,axiom,
    not_equal(n2,n6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_2_6) ).

cnf(not_equal_6_5,axiom,
    not_equal(n6,n5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_6_5) ).

cnf(not_equal_6_3,axiom,
    not_equal(n6,n3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_equal_6_3) ).

cnf(c_0_40,axiom,
    ( familiar(X1,X2)
    | not_familiar(X1,X2)
    | ~ person(X1)
    | ~ person(X2)
    | ~ not_equal(X1,X2) ),
    familiar_or_not ).

cnf(c_0_41,axiom,
    not_equal(n6,n2),
    not_equal_6_2 ).

cnf(c_0_42,axiom,
    person(n2),
    person_2 ).

cnf(c_0_43,axiom,
    person(n6),
    person_6 ).

cnf(c_0_44,negated_conjecture,
    ( ~ not_familiar(X1,X2)
    | ~ not_familiar(X2,X3)
    | ~ not_familiar(X3,X1) ),
    three_not_familiar ).

cnf(c_0_45,plain,
    ( not_familiar(n6,n2)
    | familiar(n6,n2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]),c_0_43])]) ).

cnf(c_0_46,axiom,
    not_equal(n3,n6),
    not_equal_3_6 ).

cnf(c_0_47,axiom,
    person(n3),
    person_3 ).

cnf(c_0_48,axiom,
    not_equal(n2,n3),
    not_equal_2_3 ).

cnf(c_0_49,axiom,
    not_equal(n2,n1),
    not_equal_2_1 ).

cnf(c_0_50,axiom,
    person(n1),
    person_1 ).

cnf(c_0_51,negated_conjecture,
    ( familiar(n6,n2)
    | ~ not_familiar(X1,n6)
    | ~ not_familiar(n2,X1) ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_52,plain,
    ( not_familiar(n3,n6)
    | familiar(n3,n6) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_46]),c_0_43]),c_0_47])]) ).

cnf(c_0_53,axiom,
    not_equal(n1,n3),
    not_equal_1_3 ).

cnf(c_0_54,axiom,
    not_equal(n1,n6),
    not_equal_1_6 ).

cnf(c_0_55,plain,
    ( not_familiar(n2,n3)
    | familiar(n2,n3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_48]),c_0_47]),c_0_42])]) ).

cnf(c_0_56,axiom,
    ( not_familiar(X2,X1)
    | ~ not_familiar(X1,X2) ),
    symmetry_of_not_familiar ).

cnf(c_0_57,plain,
    ( not_familiar(n2,n1)
    | familiar(n2,n1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_49]),c_0_50]),c_0_42])]) ).

cnf(c_0_58,negated_conjecture,
    ( familiar(n3,n6)
    | familiar(n6,n2)
    | ~ not_familiar(n2,n3) ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_59,negated_conjecture,
    ( familiar(n3,n6)
    | ~ not_familiar(X1,n3)
    | ~ not_familiar(n6,X1) ),
    inference(spm,[status(thm)],[c_0_44,c_0_52]) ).

cnf(c_0_60,plain,
    ( not_familiar(n1,n3)
    | familiar(n1,n3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_53]),c_0_47]),c_0_50])]) ).

cnf(c_0_61,plain,
    ( not_familiar(n1,n6)
    | familiar(n1,n6) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_54]),c_0_43]),c_0_50])]) ).

cnf(c_0_62,negated_conjecture,
    ( familiar(n2,n3)
    | ~ not_familiar(X1,n2)
    | ~ not_familiar(n3,X1) ),
    inference(spm,[status(thm)],[c_0_44,c_0_55]) ).

cnf(c_0_63,plain,
    ( not_familiar(n1,n2)
    | familiar(n2,n1) ),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_64,axiom,
    not_equal(n5,n3),
    not_equal_5_3 ).

cnf(c_0_65,axiom,
    person(n5),
    person_5 ).

cnf(c_0_66,axiom,
    not_equal(n5,n6),
    not_equal_5_6 ).

cnf(c_0_67,axiom,
    not_equal(n4,n3),
    not_equal_4_3 ).

cnf(c_0_68,axiom,
    person(n4),
    person_4 ).

cnf(c_0_69,axiom,
    not_equal(n4,n6),
    not_equal_4_6 ).

cnf(c_0_70,negated_conjecture,
    ( ~ familiar(X1,X2)
    | ~ familiar(X2,X3)
    | ~ familiar(X3,X1) ),
    three_familiar ).

cnf(c_0_71,negated_conjecture,
    ( familiar(n2,n3)
    | familiar(n6,n2)
    | familiar(n3,n6) ),
    inference(spm,[status(thm)],[c_0_58,c_0_55]) ).

cnf(c_0_72,negated_conjecture,
    ( familiar(n1,n3)
    | familiar(n3,n6)
    | ~ not_familiar(n6,n1) ),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_73,plain,
    ( not_familiar(n6,n1)
    | familiar(n1,n6) ),
    inference(spm,[status(thm)],[c_0_56,c_0_61]) ).

cnf(c_0_74,negated_conjecture,
    ( familiar(n2,n1)
    | familiar(n2,n3)
    | ~ not_familiar(n3,n1) ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_75,plain,
    ( not_familiar(n3,n1)
    | familiar(n1,n3) ),
    inference(spm,[status(thm)],[c_0_56,c_0_60]) ).

cnf(c_0_76,plain,
    ( not_familiar(n5,n3)
    | familiar(n5,n3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_64]),c_0_47]),c_0_65])]) ).

cnf(c_0_77,plain,
    ( not_familiar(n5,n6)
    | familiar(n5,n6) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_66]),c_0_43]),c_0_65])]) ).

cnf(c_0_78,axiom,
    not_equal(n2,n5),
    not_equal_2_5 ).

cnf(c_0_79,plain,
    ( not_familiar(n4,n3)
    | familiar(n4,n3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_67]),c_0_47]),c_0_68])]) ).

cnf(c_0_80,plain,
    ( not_familiar(n4,n6)
    | familiar(n4,n6) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_69]),c_0_43]),c_0_68])]) ).

cnf(c_0_81,axiom,
    not_equal(n2,n4),
    not_equal_2_4 ).

cnf(c_0_82,axiom,
    not_equal(n4,n5),
    not_equal_4_5 ).

cnf(c_0_83,negated_conjecture,
    ( familiar(n3,n6)
    | familiar(n2,n3)
    | ~ familiar(X1,n6)
    | ~ familiar(n2,X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_84,negated_conjecture,
    ( familiar(n1,n6)
    | familiar(n3,n6)
    | familiar(n1,n3) ),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_85,negated_conjecture,
    ( familiar(n1,n3)
    | familiar(n2,n3)
    | familiar(n2,n1) ),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_86,negated_conjecture,
    ( familiar(n5,n3)
    | ~ not_familiar(X1,n5)
    | ~ not_familiar(n3,X1) ),
    inference(spm,[status(thm)],[c_0_44,c_0_76]) ).

cnf(c_0_87,plain,
    ( not_familiar(n6,n5)
    | familiar(n5,n6) ),
    inference(spm,[status(thm)],[c_0_56,c_0_77]) ).

cnf(c_0_88,plain,
    ( not_familiar(n2,n5)
    | familiar(n2,n5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_78]),c_0_65]),c_0_42])]) ).

cnf(c_0_89,axiom,
    not_equal(n5,n4),
    not_equal_5_4 ).

cnf(c_0_90,negated_conjecture,
    ( familiar(n4,n3)
    | ~ not_familiar(X1,n4)
    | ~ not_familiar(n3,X1) ),
    inference(spm,[status(thm)],[c_0_44,c_0_79]) ).

cnf(c_0_91,plain,
    ( not_familiar(n6,n4)
    | familiar(n4,n6) ),
    inference(spm,[status(thm)],[c_0_56,c_0_80]) ).

cnf(c_0_92,plain,
    ( not_familiar(n2,n4)
    | familiar(n2,n4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_81]),c_0_68]),c_0_42])]) ).

cnf(c_0_93,axiom,
    not_equal(n3,n5),
    not_equal_3_5 ).

cnf(c_0_94,plain,
    ( not_familiar(n4,n5)
    | familiar(n4,n5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_82]),c_0_65]),c_0_68])]) ).

cnf(c_0_95,axiom,
    ( familiar(X2,X1)
    | ~ familiar(X1,X2) ),
    symmetry_of_familiar ).

cnf(c_0_96,negated_conjecture,
    ( familiar(n1,n3)
    | familiar(n2,n3)
    | familiar(n3,n6) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85]) ).

cnf(c_0_97,negated_conjecture,
    ( familiar(n5,n6)
    | familiar(n5,n3)
    | ~ not_familiar(n3,n6) ),
    inference(spm,[status(thm)],[c_0_86,c_0_87]) ).

cnf(c_0_98,negated_conjecture,
    ( familiar(n2,n5)
    | familiar(n5,n3)
    | ~ not_familiar(n3,n2) ),
    inference(spm,[status(thm)],[c_0_86,c_0_88]) ).

cnf(c_0_99,plain,
    ( not_familiar(n3,n2)
    | familiar(n2,n3) ),
    inference(spm,[status(thm)],[c_0_56,c_0_55]) ).

cnf(c_0_100,plain,
    ( not_familiar(n5,n4)
    | familiar(n5,n4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_89]),c_0_68]),c_0_65])]) ).

cnf(c_0_101,axiom,
    not_equal(n1,n5),
    not_equal_1_5 ).

cnf(c_0_102,axiom,
    not_equal(n1,n4),
    not_equal_1_4 ).

cnf(c_0_103,negated_conjecture,
    ( familiar(n4,n6)
    | familiar(n4,n3)
    | ~ not_familiar(n3,n6) ),
    inference(spm,[status(thm)],[c_0_90,c_0_91]) ).

cnf(c_0_104,negated_conjecture,
    ( familiar(n2,n4)
    | familiar(n4,n3)
    | ~ not_familiar(n3,n2) ),
    inference(spm,[status(thm)],[c_0_90,c_0_92]) ).

cnf(c_0_105,plain,
    ( not_familiar(n3,n5)
    | familiar(n3,n5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_93]),c_0_65]),c_0_47])]) ).

cnf(c_0_106,negated_conjecture,
    ( familiar(n4,n6)
    | familiar(n6,n2)
    | ~ not_familiar(n2,n4) ),
    inference(spm,[status(thm)],[c_0_51,c_0_80]) ).

cnf(c_0_107,negated_conjecture,
    ( familiar(n5,n6)
    | ~ not_familiar(X1,n5)
    | ~ not_familiar(n6,X1) ),
    inference(spm,[status(thm)],[c_0_44,c_0_77]) ).

cnf(c_0_108,negated_conjecture,
    ( familiar(n4,n5)
    | ~ not_familiar(X1,n4)
    | ~ not_familiar(n5,X1) ),
    inference(spm,[status(thm)],[c_0_44,c_0_94]) ).

cnf(c_0_109,negated_conjecture,
    ( familiar(n3,n6)
    | familiar(n2,n3)
    | familiar(n3,n1) ),
    inference(spm,[status(thm)],[c_0_95,c_0_96]) ).

cnf(c_0_110,negated_conjecture,
    ( familiar(n3,n6)
    | familiar(n5,n3)
    | familiar(n5,n6) ),
    inference(spm,[status(thm)],[c_0_97,c_0_52]) ).

cnf(c_0_111,negated_conjecture,
    ( familiar(n2,n3)
    | familiar(n5,n3)
    | familiar(n2,n5) ),
    inference(spm,[status(thm)],[c_0_98,c_0_99]) ).

cnf(c_0_112,negated_conjecture,
    ( familiar(n5,n4)
    | ~ not_familiar(X1,n5)
    | ~ not_familiar(n4,X1) ),
    inference(spm,[status(thm)],[c_0_44,c_0_100]) ).

cnf(c_0_113,plain,
    ( not_familiar(n1,n5)
    | familiar(n1,n5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_101]),c_0_65]),c_0_50])]) ).

cnf(c_0_114,plain,
    ( not_familiar(n1,n4)
    | familiar(n1,n4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_102]),c_0_68]),c_0_50])]) ).

cnf(c_0_115,negated_conjecture,
    ( familiar(n3,n6)
    | familiar(n4,n3)
    | familiar(n4,n6) ),
    inference(spm,[status(thm)],[c_0_103,c_0_52]) ).

cnf(c_0_116,negated_conjecture,
    ( familiar(n2,n3)
    | familiar(n4,n3)
    | familiar(n2,n4) ),
    inference(spm,[status(thm)],[c_0_104,c_0_99]) ).

cnf(c_0_117,negated_conjecture,
    ( familiar(n3,n5)
    | ~ not_familiar(X1,n3)
    | ~ not_familiar(n5,X1) ),
    inference(spm,[status(thm)],[c_0_44,c_0_105]) ).

cnf(c_0_118,axiom,
    not_equal(n4,n1),
    not_equal_4_1 ).

cnf(c_0_119,negated_conjecture,
    ( familiar(n2,n4)
    | familiar(n6,n2)
    | familiar(n4,n6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_92]) ).

cnf(c_0_120,negated_conjecture,
    ( familiar(n4,n5)
    | familiar(n5,n6)
    | ~ not_familiar(n6,n4) ),
    inference(spm,[status(thm)],[c_0_107,c_0_94]) ).

cnf(c_0_121,negated_conjecture,
    ( familiar(n2,n4)
    | familiar(n4,n5)
    | ~ not_familiar(n5,n2) ),
    inference(spm,[status(thm)],[c_0_108,c_0_92]) ).

cnf(c_0_122,plain,
    ( not_familiar(n5,n2)
    | familiar(n2,n5) ),
    inference(spm,[status(thm)],[c_0_56,c_0_88]) ).

cnf(c_0_123,axiom,
    not_equal(n5,n2),
    not_equal_5_2 ).

cnf(c_0_124,negated_conjecture,
    ( familiar(n2,n3)
    | familiar(n3,n6)
    | ~ familiar(X1,n3)
    | ~ familiar(n1,X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_109]) ).

cnf(c_0_125,negated_conjecture,
    ( familiar(n5,n3)
    | familiar(n2,n3)
    | familiar(n3,n6) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_110]),c_0_111]) ).

cnf(c_0_126,negated_conjecture,
    ( familiar(n1,n5)
    | familiar(n5,n4)
    | ~ not_familiar(n4,n1) ),
    inference(spm,[status(thm)],[c_0_112,c_0_113]) ).

cnf(c_0_127,plain,
    ( not_familiar(n4,n1)
    | familiar(n1,n4) ),
    inference(spm,[status(thm)],[c_0_56,c_0_114]) ).

cnf(c_0_128,negated_conjecture,
    ( familiar(n4,n3)
    | familiar(n2,n3)
    | familiar(n3,n6) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_115]),c_0_116]) ).

cnf(c_0_129,negated_conjecture,
    ( familiar(n3,n5)
    | familiar(n5,n6)
    | ~ not_familiar(n6,n3) ),
    inference(spm,[status(thm)],[c_0_107,c_0_105]) ).

cnf(c_0_130,plain,
    ( not_familiar(n6,n3)
    | familiar(n3,n6) ),
    inference(spm,[status(thm)],[c_0_56,c_0_52]) ).

cnf(c_0_131,negated_conjecture,
    ( familiar(n2,n3)
    | familiar(n3,n5)
    | ~ not_familiar(n5,n2) ),
    inference(spm,[status(thm)],[c_0_117,c_0_55]) ).

cnf(c_0_132,plain,
    ( not_familiar(n4,n1)
    | familiar(n4,n1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_118]),c_0_50]),c_0_68])]) ).

cnf(c_0_133,axiom,
    not_equal(n6,n4),
    not_equal_6_4 ).

cnf(c_0_134,negated_conjecture,
    ( familiar(n4,n6)
    | familiar(n2,n4)
    | ~ familiar(X1,n6)
    | ~ familiar(n2,X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_119]) ).

cnf(c_0_135,negated_conjecture,
    ( familiar(n4,n6)
    | familiar(n5,n6)
    | familiar(n4,n5) ),
    inference(spm,[status(thm)],[c_0_120,c_0_91]) ).

cnf(c_0_136,negated_conjecture,
    ( familiar(n2,n5)
    | familiar(n4,n5)
    | familiar(n2,n4) ),
    inference(spm,[status(thm)],[c_0_121,c_0_122]) ).

cnf(c_0_137,axiom,
    not_equal(n3,n1),
    not_equal_3_1 ).

cnf(c_0_138,plain,
    ( not_familiar(n5,n2)
    | familiar(n5,n2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_123]),c_0_42]),c_0_65])]) ).

cnf(c_0_139,axiom,
    not_equal(n3,n4),
    not_equal_3_4 ).

cnf(c_0_140,axiom,
    not_equal(n4,n2),
    not_equal_4_2 ).

cnf(c_0_141,axiom,
    not_equal(n5,n1),
    not_equal_5_1 ).

cnf(c_0_142,negated_conjecture,
    ( familiar(n3,n6)
    | familiar(n2,n3)
    | ~ familiar(n1,n5) ),
    inference(spm,[status(thm)],[c_0_124,c_0_125]) ).

cnf(c_0_143,negated_conjecture,
    ( familiar(n1,n4)
    | familiar(n5,n4)
    | familiar(n1,n5) ),
    inference(spm,[status(thm)],[c_0_126,c_0_127]) ).

cnf(c_0_144,negated_conjecture,
    ( familiar(n3,n6)
    | familiar(n2,n3)
    | ~ familiar(n1,n4) ),
    inference(spm,[status(thm)],[c_0_124,c_0_128]) ).

cnf(c_0_145,negated_conjecture,
    ( familiar(n3,n6)
    | familiar(n5,n6)
    | familiar(n3,n5) ),
    inference(spm,[status(thm)],[c_0_129,c_0_130]) ).

cnf(c_0_146,negated_conjecture,
    ( familiar(n2,n5)
    | familiar(n3,n5)
    | familiar(n2,n3) ),
    inference(spm,[status(thm)],[c_0_131,c_0_122]) ).

cnf(c_0_147,negated_conjecture,
    ( familiar(n4,n1)
    | ~ not_familiar(X1,n4)
    | ~ not_familiar(n1,X1) ),
    inference(spm,[status(thm)],[c_0_44,c_0_132]) ).

cnf(c_0_148,axiom,
    not_equal(n1,n2),
    not_equal_1_2 ).

cnf(c_0_149,axiom,
    not_equal(n6,n1),
    not_equal_6_1 ).

cnf(c_0_150,plain,
    ( not_familiar(n6,n4)
    | familiar(n6,n4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_133]),c_0_68]),c_0_43])]) ).

cnf(c_0_151,axiom,
    not_equal(n2,n6),
    not_equal_2_6 ).

cnf(c_0_152,negated_conjecture,
    ( familiar(n4,n5)
    | familiar(n2,n4)
    | familiar(n4,n6) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136]) ).

cnf(c_0_153,plain,
    ( not_familiar(n3,n1)
    | familiar(n3,n1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_137]),c_0_50]),c_0_47])]) ).

cnf(c_0_154,negated_conjecture,
    ( familiar(n5,n2)
    | ~ not_familiar(X1,n5)
    | ~ not_familiar(n2,X1) ),
    inference(spm,[status(thm)],[c_0_44,c_0_138]) ).

cnf(c_0_155,plain,
    ( not_familiar(n3,n4)
    | familiar(n3,n4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_139]),c_0_68]),c_0_47])]) ).

cnf(c_0_156,plain,
    ( not_familiar(n4,n2)
    | familiar(n4,n2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_140]),c_0_42]),c_0_68])]) ).

cnf(c_0_157,plain,
    ( not_familiar(n5,n1)
    | familiar(n5,n1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_141]),c_0_50]),c_0_65])]) ).

cnf(c_0_158,axiom,
    not_equal(n6,n5),
    not_equal_6_5 ).

cnf(c_0_159,negated_conjecture,
    ( familiar(n3,n6)
    | familiar(n2,n3)
    | ~ familiar(X1,n4)
    | ~ familiar(n3,X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_128]) ).

cnf(c_0_160,negated_conjecture,
    ( familiar(n5,n4)
    | familiar(n2,n3)
    | familiar(n3,n6) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_144]) ).

cnf(c_0_161,negated_conjecture,
    ( familiar(n3,n5)
    | familiar(n2,n3)
    | familiar(n3,n6) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_145]),c_0_146]) ).

cnf(c_0_162,negated_conjecture,
    ( familiar(n2,n4)
    | familiar(n4,n1)
    | ~ not_familiar(n1,n2) ),
    inference(spm,[status(thm)],[c_0_147,c_0_92]) ).

cnf(c_0_163,plain,
    ( not_familiar(n1,n2)
    | familiar(n1,n2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_148]),c_0_42]),c_0_50])]) ).

cnf(c_0_164,plain,
    ( not_familiar(n6,n1)
    | familiar(n6,n1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_149]),c_0_50]),c_0_43])]) ).

cnf(c_0_165,negated_conjecture,
    ( familiar(n6,n4)
    | ~ not_familiar(X1,n6)
    | ~ not_familiar(n4,X1) ),
    inference(spm,[status(thm)],[c_0_44,c_0_150]) ).

cnf(c_0_166,plain,
    ( not_familiar(n2,n6)
    | familiar(n2,n6) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_151]),c_0_43]),c_0_42])]) ).

cnf(c_0_167,negated_conjecture,
    ( familiar(n2,n4)
    | familiar(n2,n3)
    | ~ familiar(X1,n4)
    | ~ familiar(n3,X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_116]) ).

cnf(c_0_168,negated_conjecture,
    ( familiar(n2,n4)
    | familiar(n4,n5)
    | familiar(n6,n4) ),
    inference(spm,[status(thm)],[c_0_95,c_0_152]) ).

cnf(c_0_169,negated_conjecture,
    ( familiar(n3,n1)
    | ~ not_familiar(X1,n3)
    | ~ not_familiar(n1,X1) ),
    inference(spm,[status(thm)],[c_0_44,c_0_153]) ).

cnf(c_0_170,negated_conjecture,
    ( familiar(n3,n5)
    | familiar(n5,n2)
    | ~ not_familiar(n2,n3) ),
    inference(spm,[status(thm)],[c_0_154,c_0_105]) ).

cnf(c_0_171,negated_conjecture,
    ( familiar(n3,n4)
    | ~ not_familiar(X1,n3)
    | ~ not_familiar(n4,X1) ),
    inference(spm,[status(thm)],[c_0_44,c_0_155]) ).

cnf(c_0_172,negated_conjecture,
    ( familiar(n4,n2)
    | ~ not_familiar(X1,n4)
    | ~ not_familiar(n2,X1) ),
    inference(spm,[status(thm)],[c_0_44,c_0_156]) ).

cnf(c_0_173,negated_conjecture,
    ( familiar(n5,n1)
    | ~ not_familiar(X1,n5)
    | ~ not_familiar(n1,X1) ),
    inference(spm,[status(thm)],[c_0_44,c_0_157]) ).

cnf(c_0_174,plain,
    ( not_familiar(n6,n5)
    | familiar(n6,n5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_158]),c_0_65]),c_0_43])]) ).

cnf(c_0_175,negated_conjecture,
    ( familiar(n2,n3)
    | familiar(n3,n6) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_161]) ).

cnf(c_0_176,negated_conjecture,
    ( familiar(n1,n2)
    | familiar(n4,n1)
    | familiar(n2,n4) ),
    inference(spm,[status(thm)],[c_0_162,c_0_163]) ).

cnf(c_0_177,negated_conjecture,
    ( familiar(n6,n4)
    | familiar(n4,n1)
    | ~ not_familiar(n1,n6) ),
    inference(spm,[status(thm)],[c_0_147,c_0_150]) ).

cnf(c_0_178,plain,
    ( not_familiar(n1,n6)
    | familiar(n6,n1) ),
    inference(spm,[status(thm)],[c_0_56,c_0_164]) ).

cnf(c_0_179,negated_conjecture,
    ( familiar(n2,n6)
    | familiar(n6,n4)
    | ~ not_familiar(n4,n2) ),
    inference(spm,[status(thm)],[c_0_165,c_0_166]) ).

cnf(c_0_180,plain,
    ( not_familiar(n4,n2)
    | familiar(n2,n4) ),
    inference(spm,[status(thm)],[c_0_56,c_0_92]) ).

cnf(c_0_181,negated_conjecture,
    ( familiar(n4,n5)
    | familiar(n2,n3)
    | familiar(n2,n4)
    | ~ familiar(n3,n6) ),
    inference(spm,[status(thm)],[c_0_167,c_0_168]) ).

cnf(c_0_182,negated_conjecture,
    ( familiar(n2,n3)
    | familiar(n3,n1)
    | ~ not_familiar(n1,n2) ),
    inference(spm,[status(thm)],[c_0_169,c_0_55]) ).

cnf(c_0_183,plain,
    ( not_familiar(n3,n5)
    | familiar(n5,n3) ),
    inference(spm,[status(thm)],[c_0_56,c_0_76]) ).

cnf(c_0_184,negated_conjecture,
    ( familiar(n2,n3)
    | familiar(n5,n2)
    | familiar(n3,n5) ),
    inference(spm,[status(thm)],[c_0_170,c_0_55]) ).

cnf(c_0_185,negated_conjecture,
    ( familiar(n3,n4)
    | familiar(n4,n5)
    | ~ not_familiar(n5,n3) ),
    inference(spm,[status(thm)],[c_0_108,c_0_155]) ).

cnf(c_0_186,plain,
    ( not_familiar(n5,n3)
    | familiar(n3,n5) ),
    inference(spm,[status(thm)],[c_0_56,c_0_105]) ).

cnf(c_0_187,negated_conjecture,
    ( familiar(n2,n3)
    | familiar(n3,n4)
    | ~ not_familiar(n4,n2) ),
    inference(spm,[status(thm)],[c_0_171,c_0_55]) ).

cnf(c_0_188,negated_conjecture,
    ( familiar(n3,n4)
    | familiar(n4,n2)
    | ~ not_familiar(n2,n3) ),
    inference(spm,[status(thm)],[c_0_172,c_0_155]) ).

cnf(c_0_189,negated_conjecture,
    ( familiar(n2,n5)
    | familiar(n5,n1)
    | ~ not_familiar(n1,n2) ),
    inference(spm,[status(thm)],[c_0_173,c_0_88]) ).

cnf(c_0_190,negated_conjecture,
    ( familiar(n6,n5)
    | ~ not_familiar(X1,n6)
    | ~ not_familiar(n5,X1) ),
    inference(spm,[status(thm)],[c_0_44,c_0_174]) ).

cnf(c_0_191,negated_conjecture,
    ( familiar(n2,n3)
    | ~ familiar(X1,n3)
    | ~ familiar(n6,X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_175]) ).

cnf(c_0_192,negated_conjecture,
    ( familiar(n2,n4)
    | familiar(n4,n1)
    | ~ familiar(X1,n1)
    | ~ familiar(n2,X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_176]) ).

cnf(c_0_193,negated_conjecture,
    ( familiar(n6,n1)
    | familiar(n4,n1)
    | familiar(n6,n4) ),
    inference(spm,[status(thm)],[c_0_177,c_0_178]) ).

cnf(c_0_194,negated_conjecture,
    ( familiar(n2,n4)
    | familiar(n6,n4)
    | familiar(n2,n6) ),
    inference(spm,[status(thm)],[c_0_179,c_0_180]) ).

cnf(c_0_195,negated_conjecture,
    ( familiar(n2,n4)
    | familiar(n2,n3)
    | familiar(n4,n5) ),
    inference(spm,[status(thm)],[c_0_181,c_0_175]) ).

cnf(c_0_196,negated_conjecture,
    ( familiar(n1,n2)
    | familiar(n3,n1)
    | familiar(n2,n3) ),
    inference(spm,[status(thm)],[c_0_182,c_0_163]) ).

cnf(c_0_197,negated_conjecture,
    ( familiar(n5,n3)
    | familiar(n5,n1)
    | ~ not_familiar(n1,n3) ),
    inference(spm,[status(thm)],[c_0_173,c_0_183]) ).

cnf(c_0_198,plain,
    ( not_familiar(n1,n3)
    | familiar(n3,n1) ),
    inference(spm,[status(thm)],[c_0_56,c_0_153]) ).

cnf(c_0_199,negated_conjecture,
    ( familiar(n3,n5)
    | familiar(n2,n3)
    | ~ familiar(X1,n5)
    | ~ familiar(n2,X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_184]) ).

cnf(c_0_200,negated_conjecture,
    ( familiar(n3,n5)
    | familiar(n4,n5)
    | familiar(n3,n4) ),
    inference(spm,[status(thm)],[c_0_185,c_0_186]) ).

cnf(c_0_201,negated_conjecture,
    ( familiar(n2,n4)
    | familiar(n3,n4)
    | familiar(n2,n3) ),
    inference(spm,[status(thm)],[c_0_187,c_0_180]) ).

cnf(c_0_202,negated_conjecture,
    ( familiar(n2,n3)
    | familiar(n4,n2)
    | familiar(n3,n4) ),
    inference(spm,[status(thm)],[c_0_188,c_0_55]) ).

cnf(c_0_203,negated_conjecture,
    ( familiar(n1,n3)
    | familiar(n3,n4)
    | ~ not_familiar(n4,n1) ),
    inference(spm,[status(thm)],[c_0_171,c_0_60]) ).

cnf(c_0_204,negated_conjecture,
    ( familiar(n1,n2)
    | familiar(n5,n1)
    | familiar(n2,n5) ),
    inference(spm,[status(thm)],[c_0_189,c_0_163]) ).

cnf(c_0_205,negated_conjecture,
    ( familiar(n6,n5)
    | familiar(n5,n1)
    | ~ not_familiar(n1,n6) ),
    inference(spm,[status(thm)],[c_0_173,c_0_174]) ).

cnf(c_0_206,negated_conjecture,
    ( familiar(n2,n6)
    | familiar(n6,n5)
    | ~ not_familiar(n5,n2) ),
    inference(spm,[status(thm)],[c_0_190,c_0_166]) ).

cnf(c_0_207,negated_conjecture,
    ( familiar(n2,n4)
    | familiar(n2,n3)
    | ~ familiar(n6,n4) ),
    inference(spm,[status(thm)],[c_0_191,c_0_116]) ).

cnf(c_0_208,negated_conjecture,
    ( familiar(n6,n4)
    | familiar(n4,n1)
    | familiar(n2,n4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_194]) ).

cnf(c_0_209,negated_conjecture,
    ( familiar(n2,n3)
    | familiar(n2,n4)
    | ~ familiar(X1,n4)
    | ~ familiar(n5,X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_195]) ).

cnf(c_0_210,negated_conjecture,
    ( familiar(n2,n3)
    | familiar(n3,n1)
    | ~ familiar(X1,n1)
    | ~ familiar(n2,X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_196]) ).

cnf(c_0_211,negated_conjecture,
    ( familiar(n3,n1)
    | familiar(n5,n1)
    | familiar(n5,n3) ),
    inference(spm,[status(thm)],[c_0_197,c_0_198]) ).

cnf(c_0_212,negated_conjecture,
    ( familiar(n3,n4)
    | familiar(n2,n3)
    | familiar(n3,n5) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_200]),c_0_201]) ).

cnf(c_0_213,negated_conjecture,
    ( familiar(n3,n4)
    | familiar(n2,n3)
    | ~ familiar(X1,n4)
    | ~ familiar(n2,X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_202]) ).

cnf(c_0_214,negated_conjecture,
    ( familiar(n1,n4)
    | familiar(n3,n4)
    | familiar(n1,n3) ),
    inference(spm,[status(thm)],[c_0_203,c_0_127]) ).

cnf(c_0_215,negated_conjecture,
    ( familiar(n2,n5)
    | familiar(n5,n1)
    | ~ familiar(X1,n1)
    | ~ familiar(n2,X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_204]) ).

cnf(c_0_216,negated_conjecture,
    ( familiar(n6,n1)
    | familiar(n5,n1)
    | familiar(n6,n5) ),
    inference(spm,[status(thm)],[c_0_205,c_0_178]) ).

cnf(c_0_217,negated_conjecture,
    ( familiar(n2,n5)
    | familiar(n6,n5)
    | familiar(n2,n6) ),
    inference(spm,[status(thm)],[c_0_206,c_0_122]) ).

cnf(c_0_218,negated_conjecture,
    ( familiar(n4,n1)
    | familiar(n2,n3)
    | familiar(n2,n4) ),
    inference(spm,[status(thm)],[c_0_207,c_0_208]) ).

cnf(c_0_219,negated_conjecture,
    ( familiar(n2,n4)
    | familiar(n2,n3)
    | ~ familiar(n5,n3) ),
    inference(spm,[status(thm)],[c_0_209,c_0_201]) ).

cnf(c_0_220,negated_conjecture,
    ( familiar(n5,n3)
    | familiar(n3,n1)
    | familiar(n2,n3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211]),c_0_111]) ).

cnf(c_0_221,negated_conjecture,
    ( familiar(n2,n3)
    | familiar(n3,n4)
    | ~ familiar(X1,n3)
    | ~ familiar(n5,X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_212]) ).

cnf(c_0_222,negated_conjecture,
    ( familiar(n1,n3)
    | familiar(n2,n3)
    | familiar(n3,n4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_85]) ).

cnf(c_0_223,negated_conjecture,
    ( familiar(n2,n5)
    | familiar(n2,n3)
    | ~ familiar(n6,n5) ),
    inference(spm,[status(thm)],[c_0_191,c_0_111]) ).

cnf(c_0_224,negated_conjecture,
    ( familiar(n6,n5)
    | familiar(n5,n1)
    | familiar(n2,n5) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_216]),c_0_217]) ).

cnf(c_0_225,negated_conjecture,
    ( familiar(n2,n4)
    | familiar(n2,n3)
    | familiar(n1,n4) ),
    inference(spm,[status(thm)],[c_0_95,c_0_218]) ).

cnf(c_0_226,negated_conjecture,
    ( familiar(n3,n1)
    | familiar(n2,n3)
    | familiar(n2,n4) ),
    inference(spm,[status(thm)],[c_0_219,c_0_220]) ).

cnf(c_0_227,negated_conjecture,
    ( familiar(n4,n6)
    | familiar(n6,n5)
    | ~ not_familiar(n5,n4) ),
    inference(spm,[status(thm)],[c_0_190,c_0_80]) ).

cnf(c_0_228,negated_conjecture,
    ( familiar(n4,n6)
    | ~ not_familiar(X1,n4)
    | ~ not_familiar(n6,X1) ),
    inference(spm,[status(thm)],[c_0_44,c_0_80]) ).

cnf(c_0_229,plain,
    ( not_familiar(n4,n5)
    | familiar(n5,n4) ),
    inference(spm,[status(thm)],[c_0_56,c_0_100]) ).

cnf(c_0_230,negated_conjecture,
    ( familiar(n3,n4)
    | familiar(n2,n3)
    | ~ familiar(n5,n1) ),
    inference(spm,[status(thm)],[c_0_221,c_0_222]) ).

cnf(c_0_231,negated_conjecture,
    ( familiar(n5,n1)
    | familiar(n2,n3)
    | familiar(n2,n5) ),
    inference(spm,[status(thm)],[c_0_223,c_0_224]) ).

cnf(c_0_232,negated_conjecture,
    ( familiar(n2,n3)
    | familiar(n2,n4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_225]),c_0_226]) ).

cnf(c_0_233,negated_conjecture,
    ( familiar(n5,n4)
    | familiar(n6,n5)
    | familiar(n4,n6) ),
    inference(spm,[status(thm)],[c_0_227,c_0_100]) ).

cnf(c_0_234,negated_conjecture,
    ( familiar(n1,n4)
    | familiar(n4,n6)
    | ~ not_familiar(n6,n1) ),
    inference(spm,[status(thm)],[c_0_228,c_0_114]) ).

cnf(c_0_235,negated_conjecture,
    ( familiar(n5,n4)
    | familiar(n5,n1)
    | ~ not_familiar(n1,n4) ),
    inference(spm,[status(thm)],[c_0_173,c_0_229]) ).

cnf(c_0_236,negated_conjecture,
    ( familiar(n2,n5)
    | familiar(n2,n3)
    | familiar(n3,n4) ),
    inference(spm,[status(thm)],[c_0_230,c_0_231]) ).

cnf(c_0_237,negated_conjecture,
    ( familiar(n2,n3)
    | familiar(n4,n2) ),
    inference(spm,[status(thm)],[c_0_95,c_0_232]) ).

cnf(c_0_238,negated_conjecture,
    ( familiar(n4,n6)
    | familiar(n5,n4)
    | ~ familiar(X1,n6)
    | ~ familiar(n5,X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_233]) ).

cnf(c_0_239,negated_conjecture,
    ( familiar(n1,n6)
    | familiar(n4,n6)
    | familiar(n1,n4) ),
    inference(spm,[status(thm)],[c_0_234,c_0_73]) ).

cnf(c_0_240,negated_conjecture,
    ( familiar(n1,n4)
    | familiar(n5,n1)
    | familiar(n5,n4) ),
    inference(spm,[status(thm)],[c_0_235,c_0_114]) ).

cnf(c_0_241,axiom,
    not_equal(n6,n3),
    not_equal_6_3 ).

cnf(c_0_242,negated_conjecture,
    ( familiar(n2,n3)
    | familiar(n2,n5)
    | ~ familiar(X1,n3)
    | ~ familiar(n5,X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_146]) ).

cnf(c_0_243,negated_conjecture,
    ( familiar(n2,n3)
    | familiar(n2,n5)
    | familiar(n4,n3) ),
    inference(spm,[status(thm)],[c_0_95,c_0_236]) ).

cnf(c_0_244,negated_conjecture,
    ( familiar(n2,n3)
    | ~ familiar(X1,n4)
    | ~ familiar(n2,X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_237]) ).

cnf(c_0_245,negated_conjecture,
    ( familiar(n1,n4)
    | familiar(n5,n4)
    | familiar(n4,n6) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_239]),c_0_240]) ).

cnf(c_0_246,plain,
    ( not_familiar(n6,n3)
    | familiar(n6,n3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_241]),c_0_47]),c_0_43])]) ).

cnf(c_0_247,negated_conjecture,
    ( familiar(n2,n3)
    | ~ familiar(X1,n2)
    | ~ familiar(n4,X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_232]) ).

cnf(c_0_248,negated_conjecture,
    ( familiar(n2,n3)
    | ~ familiar(n5,n4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_243]),c_0_244]) ).

cnf(c_0_249,negated_conjecture,
    ( familiar(n4,n6)
    | familiar(n5,n4)
    | familiar(n4,n1) ),
    inference(spm,[status(thm)],[c_0_95,c_0_245]) ).

cnf(c_0_250,negated_conjecture,
    ( familiar(n6,n3)
    | ~ not_familiar(X1,n6)
    | ~ not_familiar(n3,X1) ),
    inference(spm,[status(thm)],[c_0_44,c_0_246]) ).

cnf(c_0_251,negated_conjecture,
    ( familiar(n6,n1)
    | ~ not_familiar(X1,n6)
    | ~ not_familiar(n1,X1) ),
    inference(spm,[status(thm)],[c_0_44,c_0_164]) ).

cnf(c_0_252,negated_conjecture,
    ( familiar(n2,n3)
    | familiar(n6,n3) ),
    inference(spm,[status(thm)],[c_0_95,c_0_175]) ).

cnf(c_0_253,negated_conjecture,
    ( familiar(n3,n1)
    | familiar(n2,n3)
    | ~ familiar(n4,n1) ),
    inference(spm,[status(thm)],[c_0_247,c_0_196]) ).

cnf(c_0_254,negated_conjecture,
    ( familiar(n4,n1)
    | familiar(n4,n6)
    | familiar(n2,n3) ),
    inference(spm,[status(thm)],[c_0_248,c_0_249]) ).

cnf(c_0_255,negated_conjecture,
    ( familiar(n4,n6)
    | familiar(n6,n3)
    | ~ not_familiar(n3,n4) ),
    inference(spm,[status(thm)],[c_0_250,c_0_80]) ).

cnf(c_0_256,negated_conjecture,
    ( familiar(n2,n6)
    | familiar(n6,n1)
    | ~ not_familiar(n1,n2) ),
    inference(spm,[status(thm)],[c_0_251,c_0_166]) ).

cnf(c_0_257,negated_conjecture,
    ( familiar(n2,n3)
    | ~ familiar(X1,n6)
    | ~ familiar(n3,X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_252]) ).

cnf(c_0_258,negated_conjecture,
    ( familiar(n4,n6)
    | familiar(n2,n3)
    | familiar(n3,n1) ),
    inference(spm,[status(thm)],[c_0_253,c_0_254]) ).

cnf(c_0_259,negated_conjecture,
    ( familiar(n3,n4)
    | familiar(n2,n3)
    | familiar(n3,n1) ),
    inference(spm,[status(thm)],[c_0_95,c_0_222]) ).

cnf(c_0_260,negated_conjecture,
    ( familiar(n3,n4)
    | familiar(n6,n3)
    | familiar(n4,n6) ),
    inference(spm,[status(thm)],[c_0_255,c_0_155]) ).

cnf(c_0_261,negated_conjecture,
    ( familiar(n5,n4)
    | familiar(n4,n6)
    | ~ not_familiar(n6,n5) ),
    inference(spm,[status(thm)],[c_0_228,c_0_100]) ).

cnf(c_0_262,negated_conjecture,
    ( familiar(n3,n5)
    | familiar(n5,n4)
    | ~ not_familiar(n4,n3) ),
    inference(spm,[status(thm)],[c_0_112,c_0_105]) ).

cnf(c_0_263,plain,
    ( not_familiar(n4,n3)
    | familiar(n3,n4) ),
    inference(spm,[status(thm)],[c_0_56,c_0_155]) ).

cnf(c_0_264,negated_conjecture,
    ( familiar(n2,n1)
    | familiar(n6,n1)
    | familiar(n2,n6) ),
    inference(spm,[status(thm)],[c_0_256,c_0_63]) ).

cnf(c_0_265,negated_conjecture,
    ( familiar(n2,n3)
    | familiar(n3,n6)
    | ~ not_familiar(n6,n2) ),
    inference(spm,[status(thm)],[c_0_59,c_0_55]) ).

cnf(c_0_266,plain,
    ( not_familiar(n6,n2)
    | familiar(n2,n6) ),
    inference(spm,[status(thm)],[c_0_56,c_0_166]) ).

cnf(c_0_267,negated_conjecture,
    ( familiar(n3,n4)
    | familiar(n4,n1)
    | ~ not_familiar(n1,n3) ),
    inference(spm,[status(thm)],[c_0_147,c_0_155]) ).

cnf(c_0_268,negated_conjecture,
    ( familiar(n3,n1)
    | familiar(n2,n3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_258]),c_0_259]) ).

cnf(c_0_269,negated_conjecture,
    ( familiar(n4,n6)
    | familiar(n3,n4)
    | ~ familiar(X1,n6)
    | ~ familiar(n3,X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_260]) ).

cnf(c_0_270,negated_conjecture,
    ( familiar(n5,n6)
    | familiar(n4,n6)
    | familiar(n5,n4) ),
    inference(spm,[status(thm)],[c_0_261,c_0_87]) ).

cnf(c_0_271,negated_conjecture,
    ( familiar(n3,n4)
    | familiar(n5,n4)
    | familiar(n3,n5) ),
    inference(spm,[status(thm)],[c_0_262,c_0_263]) ).

cnf(c_0_272,negated_conjecture,
    ( familiar(n3,n6)
    | familiar(n6,n5)
    | ~ not_familiar(n5,n3) ),
    inference(spm,[status(thm)],[c_0_190,c_0_52]) ).

cnf(c_0_273,negated_conjecture,
    ( familiar(n2,n6)
    | familiar(n2,n1)
    | ~ familiar(X1,n6)
    | ~ familiar(n1,X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_264]) ).

cnf(c_0_274,negated_conjecture,
    ( familiar(n2,n6)
    | familiar(n3,n6)
    | familiar(n2,n3) ),
    inference(spm,[status(thm)],[c_0_265,c_0_266]) ).

cnf(c_0_275,negated_conjecture,
    ( familiar(n1,n3)
    | familiar(n4,n1)
    | familiar(n3,n4) ),
    inference(spm,[status(thm)],[c_0_267,c_0_60]) ).

cnf(c_0_276,negated_conjecture,
    ( familiar(n5,n4)
    | familiar(n4,n1)
    | ~ not_familiar(n1,n5) ),
    inference(spm,[status(thm)],[c_0_147,c_0_100]) ).

cnf(c_0_277,plain,
    ( not_familiar(n1,n5)
    | familiar(n5,n1) ),
    inference(spm,[status(thm)],[c_0_56,c_0_157]) ).

cnf(c_0_278,negated_conjecture,
    ( familiar(n2,n3)
    | familiar(n1,n3) ),
    inference(spm,[status(thm)],[c_0_95,c_0_268]) ).

cnf(c_0_279,negated_conjecture,
    ( familiar(n5,n4)
    | familiar(n3,n4)
    | familiar(n4,n6) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_270]),c_0_271]) ).

cnf(c_0_280,negated_conjecture,
    ( familiar(n3,n6)
    | familiar(n6,n4)
    | ~ not_familiar(n4,n3) ),
    inference(spm,[status(thm)],[c_0_165,c_0_52]) ).

cnf(c_0_281,plain,
    ( not_familiar(n3,n4)
    | familiar(n4,n3) ),
    inference(spm,[status(thm)],[c_0_56,c_0_79]) ).

cnf(c_0_282,negated_conjecture,
    ( familiar(n5,n3)
    | familiar(n6,n5)
    | familiar(n3,n6) ),
    inference(spm,[status(thm)],[c_0_272,c_0_76]) ).

cnf(c_0_283,negated_conjecture,
    ( familiar(n2,n3)
    | familiar(n2,n1)
    | familiar(n2,n6) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_274]),c_0_85]) ).

cnf(c_0_284,negated_conjecture,
    ( familiar(n3,n4)
    | familiar(n4,n1)
    | ~ familiar(X1,n1)
    | ~ familiar(n3,X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_275]) ).

cnf(c_0_285,negated_conjecture,
    ( familiar(n5,n1)
    | familiar(n4,n1)
    | familiar(n5,n4) ),
    inference(spm,[status(thm)],[c_0_276,c_0_277]) ).

cnf(c_0_286,negated_conjecture,
    ( familiar(n2,n3)
    | ~ familiar(X1,n1)
    | ~ familiar(n3,X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_278]) ).

cnf(c_0_287,negated_conjecture,
    ( familiar(n4,n6)
    | familiar(n3,n4)
    | familiar(n2,n3) ),
    inference(spm,[status(thm)],[c_0_248,c_0_279]) ).

cnf(c_0_288,negated_conjecture,
    ( familiar(n4,n3)
    | familiar(n6,n4)
    | familiar(n3,n6) ),
    inference(spm,[status(thm)],[c_0_280,c_0_79]) ).

cnf(c_0_289,negated_conjecture,
    ( familiar(n4,n3)
    | familiar(n4,n1)
    | ~ not_familiar(n1,n3) ),
    inference(spm,[status(thm)],[c_0_147,c_0_281]) ).

cnf(c_0_290,negated_conjecture,
    ( familiar(n3,n6)
    | familiar(n5,n3)
    | ~ familiar(X1,n6)
    | ~ familiar(n5,X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_282]) ).

cnf(c_0_291,negated_conjecture,
    ( familiar(n1,n3)
    | familiar(n5,n1)
    | familiar(n5,n3) ),
    inference(spm,[status(thm)],[c_0_197,c_0_60]) ).

cnf(c_0_292,negated_conjecture,
    ( familiar(n2,n6)
    | familiar(n2,n3)
    | familiar(n1,n2) ),
    inference(spm,[status(thm)],[c_0_95,c_0_283]) ).

cnf(c_0_293,negated_conjecture,
    ( familiar(n5,n4)
    | familiar(n4,n1)
    | familiar(n3,n4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_285]),c_0_271]) ).

cnf(c_0_294,negated_conjecture,
    ( familiar(n4,n6)
    | familiar(n2,n3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_254]),c_0_287]) ).

cnf(c_0_295,negated_conjecture,
    ( familiar(n3,n6)
    | familiar(n4,n3)
    | ~ familiar(X1,n6)
    | ~ familiar(n4,X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_288]) ).

cnf(c_0_296,negated_conjecture,
    ( familiar(n1,n3)
    | familiar(n4,n1)
    | familiar(n4,n3) ),
    inference(spm,[status(thm)],[c_0_289,c_0_60]) ).

cnf(c_0_297,negated_conjecture,
    ( familiar(n1,n3)
    | familiar(n5,n3)
    | familiar(n3,n6) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_84]),c_0_291]) ).

cnf(c_0_298,negated_conjecture,
    ( familiar(n5,n4)
    | familiar(n4,n3)
    | ~ not_familiar(n3,n5) ),
    inference(spm,[status(thm)],[c_0_90,c_0_100]) ).

cnf(c_0_299,negated_conjecture,
    ( familiar(n2,n6)
    | familiar(n2,n3)
    | ~ familiar(n4,n1) ),
    inference(spm,[status(thm)],[c_0_247,c_0_292]) ).

cnf(c_0_300,negated_conjecture,
    ( familiar(n3,n4)
    | familiar(n4,n1)
    | familiar(n2,n3) ),
    inference(spm,[status(thm)],[c_0_248,c_0_293]) ).

cnf(c_0_301,negated_conjecture,
    ( familiar(n2,n3)
    | familiar(n6,n4) ),
    inference(spm,[status(thm)],[c_0_95,c_0_294]) ).

cnf(c_0_302,negated_conjecture,
    ( familiar(n1,n3)
    | familiar(n4,n3)
    | familiar(n3,n6) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_84]),c_0_296]) ).

cnf(c_0_303,negated_conjecture,
    ( familiar(n3,n6)
    | familiar(n5,n3)
    | familiar(n3,n1) ),
    inference(spm,[status(thm)],[c_0_95,c_0_297]) ).

cnf(c_0_304,negated_conjecture,
    ( familiar(n5,n3)
    | familiar(n4,n3)
    | familiar(n5,n4) ),
    inference(spm,[status(thm)],[c_0_298,c_0_183]) ).

cnf(c_0_305,negated_conjecture,
    ( familiar(n2,n3)
    | ~ familiar(n3,n4) ),
    inference(spm,[status(thm)],[c_0_257,c_0_294]) ).

cnf(c_0_306,negated_conjecture,
    ( familiar(n3,n4)
    | familiar(n2,n3)
    | familiar(n2,n6) ),
    inference(spm,[status(thm)],[c_0_299,c_0_300]) ).

cnf(c_0_307,negated_conjecture,
    ( familiar(n2,n3)
    | ~ familiar(n2,n6) ),
    inference(spm,[status(thm)],[c_0_244,c_0_301]) ).

cnf(c_0_308,negated_conjecture,
    ( familiar(n3,n6)
    | familiar(n4,n3)
    | familiar(n3,n1) ),
    inference(spm,[status(thm)],[c_0_95,c_0_302]) ).

cnf(c_0_309,negated_conjecture,
    ( familiar(n3,n4)
    | familiar(n4,n6)
    | ~ not_familiar(n6,n3) ),
    inference(spm,[status(thm)],[c_0_228,c_0_155]) ).

cnf(c_0_310,negated_conjecture,
    ( familiar(n5,n4)
    | familiar(n5,n3)
    | ~ not_familiar(n3,n4) ),
    inference(spm,[status(thm)],[c_0_86,c_0_229]) ).

cnf(c_0_311,negated_conjecture,
    ( familiar(n3,n1)
    | familiar(n3,n6)
    | familiar(n3,n5) ),
    inference(spm,[status(thm)],[c_0_95,c_0_303]) ).

cnf(c_0_312,negated_conjecture,
    ( familiar(n4,n3)
    | familiar(n5,n3)
    | familiar(n3,n6) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_115]),c_0_304]) ).

cnf(c_0_313,negated_conjecture,
    ( familiar(n2,n4)
    | ~ not_familiar(X1,n2)
    | ~ not_familiar(n4,X1) ),
    inference(spm,[status(thm)],[c_0_44,c_0_92]) ).

cnf(c_0_314,negated_conjecture,
    familiar(n2,n3),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_306]),c_0_307]) ).

cnf(c_0_315,negated_conjecture,
    ( familiar(n5,n2)
    | familiar(n6,n5)
    | familiar(n2,n6) ),
    inference(spm,[status(thm)],[c_0_206,c_0_138]) ).

cnf(c_0_316,negated_conjecture,
    ( familiar(n2,n4)
    | familiar(n4,n6)
    | ~ not_familiar(n6,n2) ),
    inference(spm,[status(thm)],[c_0_228,c_0_92]) ).

cnf(c_0_317,negated_conjecture,
    ( familiar(n5,n4)
    | familiar(n5,n2)
    | ~ not_familiar(n2,n4) ),
    inference(spm,[status(thm)],[c_0_154,c_0_229]) ).

cnf(c_0_318,negated_conjecture,
    ( familiar(n3,n1)
    | familiar(n3,n6)
    | familiar(n3,n4) ),
    inference(spm,[status(thm)],[c_0_95,c_0_308]) ).

cnf(c_0_319,negated_conjecture,
    ( familiar(n3,n6)
    | familiar(n4,n6)
    | familiar(n3,n4) ),
    inference(spm,[status(thm)],[c_0_309,c_0_130]) ).

cnf(c_0_320,negated_conjecture,
    ( familiar(n3,n4)
    | familiar(n5,n3)
    | familiar(n5,n4) ),
    inference(spm,[status(thm)],[c_0_310,c_0_155]) ).

cnf(c_0_321,negated_conjecture,
    ( familiar(n2,n5)
    | ~ not_familiar(X1,n2)
    | ~ not_familiar(n5,X1) ),
    inference(spm,[status(thm)],[c_0_44,c_0_88]) ).

cnf(c_0_322,negated_conjecture,
    ( familiar(n3,n5)
    | familiar(n3,n6)
    | ~ familiar(X1,n3)
    | ~ familiar(n1,X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_311]) ).

cnf(c_0_323,negated_conjecture,
    ( familiar(n3,n6)
    | familiar(n4,n3)
    | familiar(n3,n5) ),
    inference(spm,[status(thm)],[c_0_95,c_0_312]) ).

cnf(c_0_324,negated_conjecture,
    ( familiar(n1,n2)
    | familiar(n2,n4)
    | ~ not_familiar(n4,n1) ),
    inference(spm,[status(thm)],[c_0_313,c_0_163]) ).

cnf(c_0_325,negated_conjecture,
    familiar(n3,n2),
    inference(spm,[status(thm)],[c_0_95,c_0_314]) ).

cnf(c_0_326,negated_conjecture,
    ( familiar(n2,n6)
    | familiar(n5,n2)
    | ~ familiar(X1,n6)
    | ~ familiar(n5,X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_315]) ).

cnf(c_0_327,negated_conjecture,
    ( familiar(n2,n6)
    | familiar(n4,n6)
    | familiar(n2,n4) ),
    inference(spm,[status(thm)],[c_0_316,c_0_266]) ).

cnf(c_0_328,negated_conjecture,
    ( familiar(n2,n4)
    | familiar(n5,n2)
    | familiar(n5,n4) ),
    inference(spm,[status(thm)],[c_0_317,c_0_92]) ).

cnf(c_0_329,negated_conjecture,
    ( familiar(n3,n4)
    | familiar(n3,n6)
    | ~ familiar(X1,n3)
    | ~ familiar(n1,X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_318]) ).

cnf(c_0_330,negated_conjecture,
    ( familiar(n3,n4)
    | familiar(n5,n3)
    | familiar(n3,n6) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_319]),c_0_320]) ).

cnf(c_0_331,negated_conjecture,
    ( familiar(n1,n2)
    | familiar(n2,n5)
    | ~ not_familiar(n5,n1) ),
    inference(spm,[status(thm)],[c_0_321,c_0_163]) ).

cnf(c_0_332,plain,
    ( not_familiar(n5,n1)
    | familiar(n1,n5) ),
    inference(spm,[status(thm)],[c_0_56,c_0_113]) ).

cnf(c_0_333,negated_conjecture,
    ( familiar(n3,n6)
    | familiar(n3,n5)
    | ~ familiar(n1,n4) ),
    inference(spm,[status(thm)],[c_0_322,c_0_323]) ).

cnf(c_0_334,negated_conjecture,
    ( familiar(n1,n4)
    | familiar(n2,n4)
    | familiar(n1,n2) ),
    inference(spm,[status(thm)],[c_0_324,c_0_127]) ).

cnf(c_0_335,negated_conjecture,
    ( ~ familiar(X1,n3)
    | ~ familiar(n2,X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_325]) ).

cnf(c_0_336,negated_conjecture,
    ( familiar(n2,n4)
    | familiar(n5,n2)
    | familiar(n2,n6) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_327]),c_0_328]) ).

cnf(c_0_337,negated_conjecture,
    ( familiar(n3,n6)
    | familiar(n3,n4)
    | ~ familiar(n1,n5) ),
    inference(spm,[status(thm)],[c_0_329,c_0_330]) ).

cnf(c_0_338,negated_conjecture,
    ( familiar(n1,n5)
    | familiar(n2,n5)
    | familiar(n1,n2) ),
    inference(spm,[status(thm)],[c_0_331,c_0_332]) ).

cnf(c_0_339,negated_conjecture,
    ( familiar(n3,n6)
    | familiar(n3,n5)
    | ~ familiar(n1,n2) ),
    inference(spm,[status(thm)],[c_0_322,c_0_314]) ).

cnf(c_0_340,negated_conjecture,
    ( familiar(n1,n2)
    | familiar(n2,n4)
    | familiar(n3,n5)
    | familiar(n3,n6) ),
    inference(spm,[status(thm)],[c_0_333,c_0_334]) ).

cnf(c_0_341,negated_conjecture,
    ( familiar(n3,n5)
    | familiar(n3,n6)
    | ~ familiar(n2,n4) ),
    inference(spm,[status(thm)],[c_0_335,c_0_323]) ).

cnf(c_0_342,negated_conjecture,
    ( familiar(n2,n6)
    | familiar(n2,n4)
    | familiar(n2,n5) ),
    inference(spm,[status(thm)],[c_0_95,c_0_336]) ).

cnf(c_0_343,negated_conjecture,
    ( familiar(n3,n6)
    | familiar(n3,n4)
    | ~ familiar(n1,n2) ),
    inference(spm,[status(thm)],[c_0_329,c_0_314]) ).

cnf(c_0_344,negated_conjecture,
    ( familiar(n1,n2)
    | familiar(n2,n5)
    | familiar(n3,n4)
    | familiar(n3,n6) ),
    inference(spm,[status(thm)],[c_0_337,c_0_338]) ).

cnf(c_0_345,negated_conjecture,
    ( familiar(n3,n6)
    | familiar(n3,n4)
    | ~ familiar(n2,n5) ),
    inference(spm,[status(thm)],[c_0_335,c_0_330]) ).

cnf(c_0_346,negated_conjecture,
    ( familiar(n3,n5)
    | familiar(n3,n6) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_340]),c_0_341]) ).

cnf(c_0_347,negated_conjecture,
    ( familiar(n2,n5)
    | familiar(n5,n4)
    | ~ not_familiar(n4,n2) ),
    inference(spm,[status(thm)],[c_0_112,c_0_88]) ).

cnf(c_0_348,negated_conjecture,
    ( familiar(n2,n5)
    | familiar(n2,n4)
    | familiar(n6,n2) ),
    inference(spm,[status(thm)],[c_0_95,c_0_342]) ).

cnf(c_0_349,negated_conjecture,
    ( familiar(n3,n4)
    | familiar(n3,n6) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_344]),c_0_345]) ).

cnf(c_0_350,negated_conjecture,
    ( familiar(n3,n5)
    | familiar(n6,n3) ),
    inference(spm,[status(thm)],[c_0_95,c_0_346]) ).

cnf(c_0_351,plain,
    ( not_familiar(n2,n4)
    | familiar(n4,n2) ),
    inference(spm,[status(thm)],[c_0_56,c_0_156]) ).

cnf(c_0_352,negated_conjecture,
    ( familiar(n1,n6)
    | familiar(n6,n2)
    | ~ not_familiar(n2,n1) ),
    inference(spm,[status(thm)],[c_0_51,c_0_61]) ).

cnf(c_0_353,negated_conjecture,
    ( familiar(n5,n4)
    | familiar(n4,n2)
    | ~ not_familiar(n2,n5) ),
    inference(spm,[status(thm)],[c_0_172,c_0_100]) ).

cnf(c_0_354,plain,
    ( not_familiar(n2,n5)
    | familiar(n5,n2) ),
    inference(spm,[status(thm)],[c_0_56,c_0_138]) ).

cnf(c_0_355,negated_conjecture,
    ( familiar(n2,n4)
    | familiar(n5,n4)
    | familiar(n2,n5) ),
    inference(spm,[status(thm)],[c_0_347,c_0_180]) ).

cnf(c_0_356,negated_conjecture,
    ( familiar(n2,n4)
    | familiar(n2,n5)
    | ~ familiar(X1,n6)
    | ~ familiar(n2,X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_348]) ).

cnf(c_0_357,negated_conjecture,
    ( familiar(n3,n4)
    | familiar(n6,n3) ),
    inference(spm,[status(thm)],[c_0_95,c_0_349]) ).

cnf(c_0_358,negated_conjecture,
    ( familiar(n3,n5)
    | ~ familiar(n2,n6) ),
    inference(spm,[status(thm)],[c_0_335,c_0_350]) ).

cnf(c_0_359,negated_conjecture,
    ( familiar(n4,n2)
    | familiar(n6,n2)
    | familiar(n4,n6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_351]) ).

cnf(c_0_360,negated_conjecture,
    ( familiar(n2,n1)
    | familiar(n6,n2)
    | familiar(n1,n6) ),
    inference(spm,[status(thm)],[c_0_352,c_0_57]) ).

cnf(c_0_361,negated_conjecture,
    ( familiar(n4,n2)
    | familiar(n4,n1)
    | ~ not_familiar(n1,n2) ),
    inference(spm,[status(thm)],[c_0_147,c_0_351]) ).

cnf(c_0_362,negated_conjecture,
    ( familiar(n6,n4)
    | familiar(n4,n2)
    | ~ not_familiar(n2,n6) ),
    inference(spm,[status(thm)],[c_0_172,c_0_150]) ).

cnf(c_0_363,plain,
    ( not_familiar(n2,n6)
    | familiar(n6,n2) ),
    inference(spm,[status(thm)],[c_0_56,c_0_45]) ).

cnf(c_0_364,negated_conjecture,
    ( familiar(n5,n2)
    | familiar(n4,n2)
    | familiar(n5,n4) ),
    inference(spm,[status(thm)],[c_0_353,c_0_354]) ).

cnf(c_0_365,negated_conjecture,
    ( familiar(n1,n5)
    | familiar(n5,n2)
    | ~ not_familiar(n2,n1) ),
    inference(spm,[status(thm)],[c_0_154,c_0_113]) ).

cnf(c_0_366,negated_conjecture,
    ( familiar(n2,n5)
    | familiar(n2,n4)
    | ~ familiar(X1,n5)
    | ~ familiar(n4,X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_355]) ).

cnf(c_0_367,negated_conjecture,
    ( familiar(n3,n5)
    | familiar(n2,n5)
    | familiar(n2,n4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_346]),c_0_314])]) ).

cnf(c_0_368,negated_conjecture,
    ( familiar(n3,n4)
    | ~ familiar(n2,n6) ),
    inference(spm,[status(thm)],[c_0_335,c_0_357]) ).

cnf(c_0_369,negated_conjecture,
    ( familiar(n5,n3)
    | ~ familiar(n2,n6) ),
    inference(spm,[status(thm)],[c_0_95,c_0_358]) ).

cnf(c_0_370,negated_conjecture,
    ( familiar(n4,n6)
    | familiar(n4,n2)
    | ~ not_familiar(n2,n6) ),
    inference(spm,[status(thm)],[c_0_172,c_0_91]) ).

cnf(c_0_371,negated_conjecture,
    ( familiar(n4,n6)
    | familiar(n4,n2)
    | ~ familiar(X1,n6)
    | ~ familiar(n2,X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_359]) ).

cnf(c_0_372,plain,
    ( not_familiar(n5,n6)
    | familiar(n6,n5) ),
    inference(spm,[status(thm)],[c_0_56,c_0_174]) ).

cnf(c_0_373,negated_conjecture,
    ( familiar(n6,n2)
    | familiar(n2,n1)
    | ~ familiar(X1,n1)
    | ~ familiar(n6,X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_360]) ).

cnf(c_0_374,negated_conjecture,
    ( familiar(n2,n1)
    | familiar(n4,n1)
    | familiar(n4,n2) ),
    inference(spm,[status(thm)],[c_0_361,c_0_63]) ).

cnf(c_0_375,negated_conjecture,
    ( familiar(n6,n2)
    | familiar(n4,n2)
    | familiar(n6,n4) ),
    inference(spm,[status(thm)],[c_0_362,c_0_363]) ).

cnf(c_0_376,negated_conjecture,
    ( familiar(n4,n2)
    | familiar(n5,n2)
    | ~ familiar(X1,n5)
    | ~ familiar(n4,X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_364]) ).

cnf(c_0_377,negated_conjecture,
    ( familiar(n2,n1)
    | familiar(n5,n2)
    | familiar(n1,n5) ),
    inference(spm,[status(thm)],[c_0_365,c_0_57]) ).

cnf(c_0_378,negated_conjecture,
    ( familiar(n2,n5)
    | ~ familiar(n4,n3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_367]),c_0_335]) ).

cnf(c_0_379,negated_conjecture,
    ( familiar(n4,n3)
    | ~ familiar(n2,n6) ),
    inference(spm,[status(thm)],[c_0_95,c_0_368]) ).

cnf(c_0_380,negated_conjecture,
    ( ~ familiar(n2,n5)
    | ~ familiar(n2,n6) ),
    inference(spm,[status(thm)],[c_0_335,c_0_369]) ).

cnf(c_0_381,negated_conjecture,
    ( familiar(n2,n6)
    | familiar(n4,n2)
    | familiar(n4,n6) ),
    inference(spm,[status(thm)],[c_0_370,c_0_166]) ).

cnf(c_0_382,negated_conjecture,
    ( familiar(n3,n5)
    | ~ familiar(X1,n6)
    | ~ familiar(n3,X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_350]) ).

cnf(c_0_383,negated_conjecture,
    ( familiar(n3,n5)
    | familiar(n4,n2)
    | familiar(n4,n6) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_346]),c_0_314])]) ).

cnf(c_0_384,negated_conjecture,
    ( ~ familiar(X1,n2)
    | ~ familiar(n3,X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_314]) ).

cnf(c_0_385,negated_conjecture,
    ( familiar(n6,n5)
    | familiar(n6,n2)
    | ~ not_familiar(n2,n5) ),
    inference(spm,[status(thm)],[c_0_51,c_0_372]) ).

cnf(c_0_386,negated_conjecture,
    ( familiar(n4,n2)
    | familiar(n2,n1)
    | familiar(n6,n2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_373,c_0_374]),c_0_375]) ).

cnf(c_0_387,negated_conjecture,
    ( familiar(n2,n1)
    | familiar(n5,n2)
    | familiar(n4,n2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_377]),c_0_374]) ).

cnf(c_0_388,negated_conjecture,
    ( familiar(n1,n2)
    | familiar(n6,n1)
    | familiar(n2,n6) ),
    inference(spm,[status(thm)],[c_0_256,c_0_163]) ).

cnf(c_0_389,negated_conjecture,
    ~ familiar(n2,n6),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_379]),c_0_380]) ).

cnf(c_0_390,negated_conjecture,
    ( familiar(n4,n2)
    | familiar(n5,n2)
    | familiar(n2,n6) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_381]),c_0_364]) ).

cnf(c_0_391,negated_conjecture,
    ( familiar(n3,n5)
    | ~ familiar(n3,n4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_383]),c_0_384]) ).

cnf(c_0_392,negated_conjecture,
    ( familiar(n2,n1)
    | familiar(n5,n1)
    | familiar(n2,n5) ),
    inference(spm,[status(thm)],[c_0_189,c_0_63]) ).

cnf(c_0_393,negated_conjecture,
    ( familiar(n2,n5)
    | familiar(n6,n2)
    | familiar(n6,n5) ),
    inference(spm,[status(thm)],[c_0_385,c_0_88]) ).

cnf(c_0_394,negated_conjecture,
    ( familiar(n2,n1)
    | familiar(n4,n2)
    | ~ familiar(X1,n6)
    | ~ familiar(n2,X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_386]) ).

cnf(c_0_395,negated_conjecture,
    ( familiar(n4,n2)
    | familiar(n2,n1)
    | ~ familiar(n3,n5) ),
    inference(spm,[status(thm)],[c_0_384,c_0_387]) ).

cnf(c_0_396,negated_conjecture,
    ( familiar(n6,n1)
    | familiar(n1,n2) ),
    inference(sr,[status(thm)],[c_0_388,c_0_389]) ).

cnf(c_0_397,negated_conjecture,
    ( familiar(n2,n6)
    | familiar(n4,n2)
    | familiar(n2,n5) ),
    inference(spm,[status(thm)],[c_0_95,c_0_390]) ).

cnf(c_0_398,negated_conjecture,
    ( familiar(n5,n3)
    | ~ familiar(n3,n4) ),
    inference(spm,[status(thm)],[c_0_95,c_0_391]) ).

cnf(c_0_399,negated_conjecture,
    ( familiar(n2,n5)
    | familiar(n2,n1)
    | familiar(n6,n2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_373,c_0_392]),c_0_393]) ).

cnf(c_0_400,negated_conjecture,
    ( familiar(n4,n2)
    | familiar(n2,n1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_394,c_0_346]),c_0_314])]),c_0_395]) ).

cnf(c_0_401,negated_conjecture,
    ( familiar(n6,n1)
    | ~ familiar(n3,n1) ),
    inference(spm,[status(thm)],[c_0_384,c_0_396]) ).

cnf(c_0_402,negated_conjecture,
    ( familiar(n2,n5)
    | familiar(n4,n2) ),
    inference(sr,[status(thm)],[c_0_397,c_0_389]) ).

cnf(c_0_403,negated_conjecture,
    ( ~ familiar(n2,n5)
    | ~ familiar(n3,n4) ),
    inference(spm,[status(thm)],[c_0_335,c_0_398]) ).

cnf(c_0_404,negated_conjecture,
    ( familiar(n2,n1)
    | familiar(n2,n5)
    | ~ familiar(X1,n6)
    | ~ familiar(n2,X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_399]) ).

cnf(c_0_405,negated_conjecture,
    ( familiar(n2,n1)
    | ~ familiar(n3,n4) ),
    inference(spm,[status(thm)],[c_0_384,c_0_400]) ).

cnf(c_0_406,negated_conjecture,
    ( familiar(n3,n4)
    | ~ familiar(X1,n6)
    | ~ familiar(n3,X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_357]) ).

cnf(c_0_407,negated_conjecture,
    ( familiar(n1,n6)
    | ~ familiar(n3,n1) ),
    inference(spm,[status(thm)],[c_0_95,c_0_401]) ).

cnf(c_0_408,negated_conjecture,
    ~ familiar(n3,n4),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_402]),c_0_403]) ).

cnf(c_0_409,negated_conjecture,
    ( familiar(n3,n1)
    | familiar(n4,n1)
    | familiar(n3,n4) ),
    inference(spm,[status(thm)],[c_0_267,c_0_198]) ).

cnf(c_0_410,negated_conjecture,
    ( familiar(n1,n5)
    | familiar(n5,n3)
    | ~ not_familiar(n3,n1) ),
    inference(spm,[status(thm)],[c_0_86,c_0_113]) ).

cnf(c_0_411,negated_conjecture,
    ( familiar(n2,n5)
    | familiar(n2,n1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_349]),c_0_314])]),c_0_405]) ).

cnf(c_0_412,negated_conjecture,
    ( familiar(n3,n4)
    | ~ not_familiar(X1,n4)
    | ~ not_familiar(n3,X1) ),
    inference(spm,[status(thm)],[c_0_44,c_0_263]) ).

cnf(c_0_413,negated_conjecture,
    ~ familiar(n3,n1),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_406,c_0_407]),c_0_408]) ).

cnf(c_0_414,negated_conjecture,
    ( familiar(n3,n4)
    | familiar(n3,n1)
    | ~ familiar(X1,n4)
    | ~ familiar(n1,X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_409]) ).

cnf(c_0_415,negated_conjecture,
    ( familiar(n3,n1)
    | familiar(n5,n3)
    | familiar(n1,n5) ),
    inference(spm,[status(thm)],[c_0_410,c_0_153]) ).

cnf(c_0_416,negated_conjecture,
    ( familiar(n2,n5)
    | ~ familiar(X1,n2)
    | ~ familiar(n1,X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_411]) ).

cnf(c_0_417,negated_conjecture,
    ( familiar(n1,n4)
    | familiar(n3,n4)
    | ~ not_familiar(n3,n1) ),
    inference(spm,[status(thm)],[c_0_412,c_0_114]) ).

cnf(c_0_418,plain,
    not_familiar(n3,n1),
    inference(sr,[status(thm)],[c_0_153,c_0_413]) ).

cnf(c_0_419,negated_conjecture,
    ( familiar(n5,n3)
    | familiar(n3,n1)
    | familiar(n3,n4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_320]),c_0_415]) ).

cnf(c_0_420,negated_conjecture,
    ( familiar(n2,n5)
    | ~ familiar(n1,n4) ),
    inference(spm,[status(thm)],[c_0_416,c_0_402]) ).

cnf(c_0_421,negated_conjecture,
    familiar(n1,n4),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_417,c_0_418])]),c_0_408]) ).

cnf(c_0_422,negated_conjecture,
    ( familiar(n3,n4)
    | familiar(n3,n1)
    | ~ familiar(n2,n5) ),
    inference(spm,[status(thm)],[c_0_335,c_0_419]) ).

cnf(c_0_423,negated_conjecture,
    familiar(n2,n5),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_420,c_0_421])]) ).

cnf(c_0_424,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_422,c_0_423])]),c_0_408]),c_0_413]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : PUZ028-6 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35  % Computer : n031.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   : Sat Aug 26 22:49:38 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.20/0.58  start to proof: theBenchmark
% 0.83/0.92  % Version  : CSE_E---1.5
% 0.83/0.92  % Problem  : theBenchmark.p
% 0.83/0.92  % Proof found
% 0.83/0.92  % SZS status Theorem for theBenchmark.p
% 0.83/0.92  % SZS output start Proof
% See solution above
% 0.83/0.94  % Total time : 0.332000 s
% 0.83/0.94  % SZS output end Proof
% 0.83/0.94  % Total time : 0.335000 s
%------------------------------------------------------------------------------