TSTP Solution File: SEU362+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SEU362+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : n026.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 10:58:32 EDT 2023

% Result   : Theorem 11.70s 4.39s
% Output   : CNFRefutation 12.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   49
% Syntax   : Number of formulae    :  112 (  25 unt;  35 typ;   0 def)
%            Number of atoms       :  215 (  10 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  252 ( 114   ~; 108   |;   7   &)
%                                         (   3 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   37 (  23   >;  14   *;   0   +;   0  <<)
%            Number of predicates  :   14 (  12 usr;   1 prp; 0-3 aty)
%            Number of functors    :   23 (  23 usr;  12 con; 0-2 aty)
%            Number of variables   :  102 (; 100   !;   2   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ relation_of2_as_subset > relation_of2 > related > subset > subrelstr > in > element > relation > rel_str > one_sorted_str > finite > empty > ordered_pair > cartesian_product2 > #nlpp > the_carrier > the_InternalRel > powerset > empty_set > #skF_5 > #skF_6 > #skF_4 > #skF_17 > #skF_15 > #skF_7 > #skF_3 > #skF_16 > #skF_14 > #skF_10 > #skF_13 > #skF_2 > #skF_1 > #skF_9 > #skF_8 > #skF_11 > #skF_12

%Foreground sorts:

%Background operators:

%Foreground operators:
tff('#skF_5',type,
    '#skF_5': $i > $i ).

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

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

tff('#skF_6',type,
    '#skF_6': ( $i * $i ) > $i ).

tff(the_InternalRel,type,
    the_InternalRel: $i > $i ).

tff('#skF_4',type,
    '#skF_4': $i > $i ).

tff('#skF_17',type,
    '#skF_17': $i ).

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

tff('#skF_15',type,
    '#skF_15': $i ).

tff(the_carrier,type,
    the_carrier: $i > $i ).

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

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

tff(ordered_pair,type,
    ordered_pair: ( $i * $i ) > $i ).

tff('#skF_7',type,
    '#skF_7': $i ).

tff('#skF_3',type,
    '#skF_3': ( $i * $i ) > $i ).

tff('#skF_16',type,
    '#skF_16': $i ).

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

tff('#skF_14',type,
    '#skF_14': $i ).

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

tff('#skF_10',type,
    '#skF_10': $i > $i ).

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

tff('#skF_13',type,
    '#skF_13': $i ).

tff('#skF_2',type,
    '#skF_2': $i ).

tff('#skF_1',type,
    '#skF_1': $i ).

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

tff('#skF_9',type,
    '#skF_9': $i ).

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

tff(relation_of2,type,
    relation_of2: ( $i * $i * $i ) > $o ).

tff('#skF_8',type,
    '#skF_8': $i ).

tff('#skF_11',type,
    '#skF_11': $i > $i ).

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

tff(powerset,type,
    powerset: $i > $i ).

tff(cartesian_product2,type,
    cartesian_product2: ( $i * $i ) > $i ).

tff(relation_of2_as_subset,type,
    relation_of2_as_subset: ( $i * $i * $i ) > $o ).

tff('#skF_12',type,
    '#skF_12': $i ).

tff(f_205,negated_conjecture,
    ~ ! [A] :
        ( rel_str(A)
       => ! [B] :
            ( subrelstr(B,A)
           => ! [C] :
                ( element(C,the_carrier(A))
               => ! [D] :
                    ( element(D,the_carrier(A))
                   => ! [E] :
                        ( element(E,the_carrier(B))
                       => ! [F] :
                            ( element(F,the_carrier(B))
                           => ( ( ( E = C )
                                & ( F = D )
                                & related(B,E,F) )
                             => related(A,C,D) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t60_yellow_0) ).

tff(f_81,axiom,
    ! [A] :
      ( rel_str(A)
     => ! [B] :
          ( subrelstr(B,A)
         => rel_str(B) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_yellow_0) ).

tff(f_99,axiom,
    ! [A] :
    ? [B] : element(B,A),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).

tff(f_121,axiom,
    ? [A] : empty(A),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).

tff(f_35,axiom,
    ! [A] :
      ( empty(A)
     => finite(A) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_finset_1) ).

tff(f_57,axiom,
    ! [A] :
      ( rel_str(A)
     => ! [B] :
          ( rel_str(B)
         => ( subrelstr(B,A)
          <=> ( subset(the_carrier(B),the_carrier(A))
              & subset(the_InternalRel(B),the_InternalRel(A)) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d13_yellow_0) ).

tff(f_166,axiom,
    ! [A,B] :
      ( element(A,powerset(B))
    <=> subset(A,B) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).

tff(f_46,axiom,
    ! [A] :
      ( finite(A)
     => ! [B] :
          ( element(B,powerset(A))
         => finite(B) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_finset_1) ).

tff(f_69,axiom,
    ! [A] :
      ( rel_str(A)
     => ! [B] :
          ( element(B,the_carrier(A))
         => ! [C] :
              ( element(C,the_carrier(A))
             => ( related(A,B,C)
              <=> in(ordered_pair(B,C),the_InternalRel(A)) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_orders_2) ).

tff(f_172,axiom,
    ! [A,B,C] :
      ( ( in(A,B)
        & element(B,powerset(C)) )
     => element(A,C) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).

tff(f_162,axiom,
    ! [A,B] :
      ( element(A,B)
     => ( empty(B)
        | in(A,B) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).

tff(f_209,axiom,
    ! [A] :
      ( empty(A)
     => ( A = empty_set ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).

tff(f_179,axiom,
    ! [A,B,C] :
      ~ ( in(A,B)
        & element(B,powerset(C))
        & empty(C) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).

tff(f_214,axiom,
    ! [A,B] :
      ~ ( in(A,B)
        & empty(B) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).

tff(c_116,plain,
    rel_str('#skF_12'),
    inference(cnfTransformation,[status(thm)],[f_205]) ).

tff(c_114,plain,
    subrelstr('#skF_13','#skF_12'),
    inference(cnfTransformation,[status(thm)],[f_205]) ).

tff(c_184,plain,
    ! [B_147,A_148] :
      ( rel_str(B_147)
      | ~ subrelstr(B_147,A_148)
      | ~ rel_str(A_148) ),
    inference(cnfTransformation,[status(thm)],[f_81]) ).

tff(c_190,plain,
    ( rel_str('#skF_13')
    | ~ rel_str('#skF_12') ),
    inference(resolution,[status(thm)],[c_114,c_184]) ).

tff(c_194,plain,
    rel_str('#skF_13'),
    inference(demodulation,[status(thm),theory(equality)],[c_116,c_190]) ).

tff(c_50,plain,
    ! [A_31] : element('#skF_4'(A_31),A_31),
    inference(cnfTransformation,[status(thm)],[f_99]) ).

tff(c_64,plain,
    empty('#skF_8'),
    inference(cnfTransformation,[status(thm)],[f_121]) ).

tff(c_4,plain,
    ! [A_3] :
      ( finite(A_3)
      | ~ empty(A_3) ),
    inference(cnfTransformation,[status(thm)],[f_35]) ).

tff(c_436,plain,
    ! [B_219,A_220] :
      ( subset(the_InternalRel(B_219),the_InternalRel(A_220))
      | ~ subrelstr(B_219,A_220)
      | ~ rel_str(B_219)
      | ~ rel_str(A_220) ),
    inference(cnfTransformation,[status(thm)],[f_57]) ).

tff(c_92,plain,
    ! [A_53,B_54] :
      ( element(A_53,powerset(B_54))
      | ~ subset(A_53,B_54) ),
    inference(cnfTransformation,[status(thm)],[f_166]) ).

tff(c_229,plain,
    ! [B_161,A_162] :
      ( finite(B_161)
      | ~ element(B_161,powerset(A_162))
      | ~ finite(A_162) ),
    inference(cnfTransformation,[status(thm)],[f_46]) ).

tff(c_244,plain,
    ! [A_53,B_54] :
      ( finite(A_53)
      | ~ finite(B_54)
      | ~ subset(A_53,B_54) ),
    inference(resolution,[status(thm)],[c_92,c_229]) ).

tff(c_1276,plain,
    ! [B_337,A_338] :
      ( finite(the_InternalRel(B_337))
      | ~ finite(the_InternalRel(A_338))
      | ~ subrelstr(B_337,A_338)
      | ~ rel_str(B_337)
      | ~ rel_str(A_338) ),
    inference(resolution,[status(thm)],[c_436,c_244]) ).

tff(c_1321,plain,
    ! [B_349,A_350] :
      ( finite(the_InternalRel(B_349))
      | ~ subrelstr(B_349,A_350)
      | ~ rel_str(B_349)
      | ~ rel_str(A_350)
      | ~ empty(the_InternalRel(A_350)) ),
    inference(resolution,[status(thm)],[c_4,c_1276]) ).

tff(c_1327,plain,
    ( finite(the_InternalRel('#skF_13'))
    | ~ rel_str('#skF_13')
    | ~ rel_str('#skF_12')
    | ~ empty(the_InternalRel('#skF_12')) ),
    inference(resolution,[status(thm)],[c_114,c_1321]) ).

tff(c_1332,plain,
    ( finite(the_InternalRel('#skF_13'))
    | ~ empty(the_InternalRel('#skF_12')) ),
    inference(demodulation,[status(thm),theory(equality)],[c_116,c_194,c_1327]) ).

tff(c_1333,plain,
    ~ empty(the_InternalRel('#skF_12')),
    inference(splitLeft,[status(thm)],[c_1332]) ).

tff(c_98,plain,
    ~ related('#skF_12','#skF_14','#skF_15'),
    inference(cnfTransformation,[status(thm)],[f_205]) ).

tff(c_112,plain,
    element('#skF_14',the_carrier('#skF_12')),
    inference(cnfTransformation,[status(thm)],[f_205]) ).

tff(c_110,plain,
    element('#skF_15',the_carrier('#skF_12')),
    inference(cnfTransformation,[status(thm)],[f_205]) ).

tff(c_104,plain,
    '#skF_16' = '#skF_14',
    inference(cnfTransformation,[status(thm)],[f_205]) ).

tff(c_108,plain,
    element('#skF_16',the_carrier('#skF_13')),
    inference(cnfTransformation,[status(thm)],[f_205]) ).

tff(c_123,plain,
    element('#skF_14',the_carrier('#skF_13')),
    inference(demodulation,[status(thm),theory(equality)],[c_104,c_108]) ).

tff(c_102,plain,
    '#skF_17' = '#skF_15',
    inference(cnfTransformation,[status(thm)],[f_205]) ).

tff(c_106,plain,
    element('#skF_17',the_carrier('#skF_13')),
    inference(cnfTransformation,[status(thm)],[f_205]) ).

tff(c_124,plain,
    element('#skF_15',the_carrier('#skF_13')),
    inference(demodulation,[status(thm),theory(equality)],[c_102,c_106]) ).

tff(c_100,plain,
    related('#skF_13','#skF_16','#skF_17'),
    inference(cnfTransformation,[status(thm)],[f_205]) ).

tff(c_125,plain,
    related('#skF_13','#skF_14','#skF_15'),
    inference(demodulation,[status(thm),theory(equality)],[c_102,c_104,c_100]) ).

tff(c_12,plain,
    ! [B_12,A_10] :
      ( subset(the_InternalRel(B_12),the_InternalRel(A_10))
      | ~ subrelstr(B_12,A_10)
      | ~ rel_str(B_12)
      | ~ rel_str(A_10) ),
    inference(cnfTransformation,[status(thm)],[f_57]) ).

tff(c_544,plain,
    ! [B_251,C_252,A_253] :
      ( in(ordered_pair(B_251,C_252),the_InternalRel(A_253))
      | ~ related(A_253,B_251,C_252)
      | ~ element(C_252,the_carrier(A_253))
      | ~ element(B_251,the_carrier(A_253))
      | ~ rel_str(A_253) ),
    inference(cnfTransformation,[status(thm)],[f_69]) ).

tff(c_363,plain,
    ! [A_194,C_195,B_196] :
      ( element(A_194,C_195)
      | ~ element(B_196,powerset(C_195))
      | ~ in(A_194,B_196) ),
    inference(cnfTransformation,[status(thm)],[f_172]) ).

tff(c_374,plain,
    ! [A_194,B_54,A_53] :
      ( element(A_194,B_54)
      | ~ in(A_194,A_53)
      | ~ subset(A_53,B_54) ),
    inference(resolution,[status(thm)],[c_92,c_363]) ).

tff(c_4810,plain,
    ! [B_549,C_550,B_551,A_552] :
      ( element(ordered_pair(B_549,C_550),B_551)
      | ~ subset(the_InternalRel(A_552),B_551)
      | ~ related(A_552,B_549,C_550)
      | ~ element(C_550,the_carrier(A_552))
      | ~ element(B_549,the_carrier(A_552))
      | ~ rel_str(A_552) ),
    inference(resolution,[status(thm)],[c_544,c_374]) ).

tff(c_8107,plain,
    ! [B_1005,C_1006,A_1007,B_1008] :
      ( element(ordered_pair(B_1005,C_1006),the_InternalRel(A_1007))
      | ~ related(B_1008,B_1005,C_1006)
      | ~ element(C_1006,the_carrier(B_1008))
      | ~ element(B_1005,the_carrier(B_1008))
      | ~ subrelstr(B_1008,A_1007)
      | ~ rel_str(B_1008)
      | ~ rel_str(A_1007) ),
    inference(resolution,[status(thm)],[c_12,c_4810]) ).

tff(c_8109,plain,
    ! [A_1007] :
      ( element(ordered_pair('#skF_14','#skF_15'),the_InternalRel(A_1007))
      | ~ element('#skF_15',the_carrier('#skF_13'))
      | ~ element('#skF_14',the_carrier('#skF_13'))
      | ~ subrelstr('#skF_13',A_1007)
      | ~ rel_str('#skF_13')
      | ~ rel_str(A_1007) ),
    inference(resolution,[status(thm)],[c_125,c_8107]) ).

tff(c_8113,plain,
    ! [A_1009] :
      ( element(ordered_pair('#skF_14','#skF_15'),the_InternalRel(A_1009))
      | ~ subrelstr('#skF_13',A_1009)
      | ~ rel_str(A_1009) ),
    inference(demodulation,[status(thm),theory(equality)],[c_194,c_123,c_124,c_8109]) ).

tff(c_88,plain,
    ! [A_51,B_52] :
      ( in(A_51,B_52)
      | empty(B_52)
      | ~ element(A_51,B_52) ),
    inference(cnfTransformation,[status(thm)],[f_162]) ).

tff(c_499,plain,
    ! [A_241,B_242,C_243] :
      ( related(A_241,B_242,C_243)
      | ~ in(ordered_pair(B_242,C_243),the_InternalRel(A_241))
      | ~ element(C_243,the_carrier(A_241))
      | ~ element(B_242,the_carrier(A_241))
      | ~ rel_str(A_241) ),
    inference(cnfTransformation,[status(thm)],[f_69]) ).

tff(c_503,plain,
    ! [A_241,B_242,C_243] :
      ( related(A_241,B_242,C_243)
      | ~ element(C_243,the_carrier(A_241))
      | ~ element(B_242,the_carrier(A_241))
      | ~ rel_str(A_241)
      | empty(the_InternalRel(A_241))
      | ~ element(ordered_pair(B_242,C_243),the_InternalRel(A_241)) ),
    inference(resolution,[status(thm)],[c_88,c_499]) ).

tff(c_8366,plain,
    ! [A_1030] :
      ( related(A_1030,'#skF_14','#skF_15')
      | ~ element('#skF_15',the_carrier(A_1030))
      | ~ element('#skF_14',the_carrier(A_1030))
      | empty(the_InternalRel(A_1030))
      | ~ subrelstr('#skF_13',A_1030)
      | ~ rel_str(A_1030) ),
    inference(resolution,[status(thm)],[c_8113,c_503]) ).

tff(c_8375,plain,
    ( related('#skF_12','#skF_14','#skF_15')
    | ~ element('#skF_14',the_carrier('#skF_12'))
    | empty(the_InternalRel('#skF_12'))
    | ~ subrelstr('#skF_13','#skF_12')
    | ~ rel_str('#skF_12') ),
    inference(resolution,[status(thm)],[c_110,c_8366]) ).

tff(c_8383,plain,
    ( related('#skF_12','#skF_14','#skF_15')
    | empty(the_InternalRel('#skF_12')) ),
    inference(demodulation,[status(thm),theory(equality)],[c_116,c_114,c_112,c_8375]) ).

tff(c_8385,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1333,c_98,c_8383]) ).

tff(c_8387,plain,
    empty(the_InternalRel('#skF_12')),
    inference(splitRight,[status(thm)],[c_1332]) ).

tff(c_135,plain,
    ! [A_124] :
      ( ( empty_set = A_124 )
      | ~ empty(A_124) ),
    inference(cnfTransformation,[status(thm)],[f_209]) ).

tff(c_142,plain,
    empty_set = '#skF_8',
    inference(resolution,[status(thm)],[c_64,c_135]) ).

tff(c_118,plain,
    ! [A_118] :
      ( ( empty_set = A_118 )
      | ~ empty(A_118) ),
    inference(cnfTransformation,[status(thm)],[f_209]) ).

tff(c_145,plain,
    ! [A_118] :
      ( ( A_118 = '#skF_8' )
      | ~ empty(A_118) ),
    inference(demodulation,[status(thm),theory(equality)],[c_142,c_118]) ).

tff(c_8402,plain,
    the_InternalRel('#skF_12') = '#skF_8',
    inference(resolution,[status(thm)],[c_8387,c_145]) ).

tff(c_8434,plain,
    ! [B_12] :
      ( subset(the_InternalRel(B_12),'#skF_8')
      | ~ subrelstr(B_12,'#skF_12')
      | ~ rel_str(B_12)
      | ~ rel_str('#skF_12') ),
    inference(superposition,[status(thm),theory(equality)],[c_8402,c_12]) ).

tff(c_8534,plain,
    ! [B_1037] :
      ( subset(the_InternalRel(B_1037),'#skF_8')
      | ~ subrelstr(B_1037,'#skF_12')
      | ~ rel_str(B_1037) ),
    inference(demodulation,[status(thm),theory(equality)],[c_116,c_8434]) ).

tff(c_343,plain,
    ! [C_189,B_190,A_191] :
      ( ~ empty(C_189)
      | ~ element(B_190,powerset(C_189))
      | ~ in(A_191,B_190) ),
    inference(cnfTransformation,[status(thm)],[f_179]) ).

tff(c_377,plain,
    ! [B_197,A_198,A_199] :
      ( ~ empty(B_197)
      | ~ in(A_198,A_199)
      | ~ subset(A_199,B_197) ),
    inference(resolution,[status(thm)],[c_92,c_343]) ).

tff(c_380,plain,
    ! [B_197,B_52,A_51] :
      ( ~ empty(B_197)
      | ~ subset(B_52,B_197)
      | empty(B_52)
      | ~ element(A_51,B_52) ),
    inference(resolution,[status(thm)],[c_88,c_377]) ).

tff(c_8540,plain,
    ! [B_1037,A_51] :
      ( ~ empty('#skF_8')
      | empty(the_InternalRel(B_1037))
      | ~ element(A_51,the_InternalRel(B_1037))
      | ~ subrelstr(B_1037,'#skF_12')
      | ~ rel_str(B_1037) ),
    inference(resolution,[status(thm)],[c_8534,c_380]) ).

tff(c_8602,plain,
    ! [B_1046,A_1047] :
      ( empty(the_InternalRel(B_1046))
      | ~ element(A_1047,the_InternalRel(B_1046))
      | ~ subrelstr(B_1046,'#skF_12')
      | ~ rel_str(B_1046) ),
    inference(demodulation,[status(thm),theory(equality)],[c_64,c_8540]) ).

tff(c_8631,plain,
    ! [B_1048] :
      ( empty(the_InternalRel(B_1048))
      | ~ subrelstr(B_1048,'#skF_12')
      | ~ rel_str(B_1048) ),
    inference(resolution,[status(thm)],[c_50,c_8602]) ).

tff(c_120,plain,
    ! [B_120,A_119] :
      ( ~ empty(B_120)
      | ~ in(A_119,B_120) ),
    inference(cnfTransformation,[status(thm)],[f_214]) ).

tff(c_817,plain,
    ! [A_289,B_290,C_291] :
      ( ~ empty(the_InternalRel(A_289))
      | ~ related(A_289,B_290,C_291)
      | ~ element(C_291,the_carrier(A_289))
      | ~ element(B_290,the_carrier(A_289))
      | ~ rel_str(A_289) ),
    inference(resolution,[status(thm)],[c_544,c_120]) ).

tff(c_819,plain,
    ( ~ empty(the_InternalRel('#skF_13'))
    | ~ element('#skF_15',the_carrier('#skF_13'))
    | ~ element('#skF_14',the_carrier('#skF_13'))
    | ~ rel_str('#skF_13') ),
    inference(resolution,[status(thm)],[c_125,c_817]) ).

tff(c_822,plain,
    ~ empty(the_InternalRel('#skF_13')),
    inference(demodulation,[status(thm),theory(equality)],[c_194,c_123,c_124,c_819]) ).

tff(c_8636,plain,
    ( ~ subrelstr('#skF_13','#skF_12')
    | ~ rel_str('#skF_13') ),
    inference(resolution,[status(thm)],[c_8631,c_822]) ).

tff(c_8649,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_194,c_114,c_8636]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU362+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13  % 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
% 0.13/0.35  % Computer : n026.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu Aug  3 11:47:46 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 11.70/4.39  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.70/4.40  
% 11.70/4.40  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 12.09/4.43  
% 12.09/4.43  Inference rules
% 12.09/4.43  ----------------------
% 12.09/4.43  #Ref     : 0
% 12.09/4.43  #Sup     : 1827
% 12.09/4.43  #Fact    : 0
% 12.09/4.43  #Define  : 0
% 12.09/4.43  #Split   : 36
% 12.09/4.43  #Chain   : 0
% 12.09/4.43  #Close   : 0
% 12.09/4.43  
% 12.09/4.43  Ordering : KBO
% 12.09/4.43  
% 12.09/4.43  Simplification rules
% 12.09/4.43  ----------------------
% 12.09/4.43  #Subsume      : 461
% 12.09/4.43  #Demod        : 1383
% 12.09/4.44  #Tautology    : 392
% 12.09/4.44  #SimpNegUnit  : 248
% 12.09/4.44  #BackRed      : 134
% 12.09/4.44  
% 12.09/4.44  #Partial instantiations: 0
% 12.09/4.44  #Strategies tried      : 1
% 12.09/4.44  
% 12.09/4.44  Timing (in seconds)
% 12.09/4.44  ----------------------
% 12.09/4.44  Preprocessing        : 0.63
% 12.09/4.44  Parsing              : 0.34
% 12.09/4.44  CNF conversion       : 0.05
% 12.09/4.44  Main loop            : 2.63
% 12.09/4.44  Inferencing          : 0.98
% 12.09/4.44  Reduction            : 0.82
% 12.09/4.44  Demodulation         : 0.57
% 12.09/4.44  BG Simplification    : 0.06
% 12.09/4.44  Subsumption          : 0.59
% 12.09/4.44  Abstraction          : 0.06
% 12.09/4.44  MUC search           : 0.00
% 12.09/4.44  Cooper               : 0.00
% 12.09/4.44  Total                : 3.32
% 12.09/4.44  Index Insertion      : 0.00
% 12.09/4.44  Index Deletion       : 0.00
% 12.09/4.44  Index Matching       : 0.00
% 12.09/4.44  BG Taut test         : 0.00
%------------------------------------------------------------------------------