TSTP Solution File: SET657+3 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SET657+3 : TPTP v8.1.2. Released v2.2.0.
% 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 : n003.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 10:56:49 EDT 2023

% Result   : Theorem 11.28s 3.72s
% Output   : CNFRefutation 11.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   50
% Syntax   : Number of formulae    :  102 (  15 unt;  34 typ;   0 def)
%            Number of atoms       :  197 (  10 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  209 (  80   ~;  77   |;   5   &)
%                                         (   5 <=>;  42  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   48 (  28   >;  20   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   29 (  29 usr;   6 con; 0-4 aty)
%            Number of variables   :  129 (; 129   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ subset > member > ilf_type > relation_like > empty > union4 > range > domain > union > relation_type > ordered_pair > cross_product > #nlpp > subset_type > range_of > power_set > member_type > field_of > domain_of > set_type > binary_relation_type > #skF_4 > #skF_14 > #skF_10 > #skF_13 > #skF_3 > #skF_8 > #skF_11 > #skF_2 > #skF_7 > #skF_1 > #skF_9 > #skF_5 > #skF_6 > #skF_12

%Foreground sorts:

%Background operators:

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

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

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

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

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

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

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

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

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

tff(union4,type,
    union4: ( $i * $i * $i * $i ) > $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff('#skF_5',type,
    '#skF_5': ( $i * $i ) > $i ).

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

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

tff(f_397,negated_conjecture,
    ~ ! [B] :
        ( ilf_type(B,set_type)
       => ! [C] :
            ( ilf_type(C,set_type)
           => ! [D] :
                ( ilf_type(D,relation_type(B,C))
               => subset(field_of(D),union(B,C)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_19) ).

tff(f_385,axiom,
    ! [B] : ilf_type(B,set_type),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p37) ).

tff(f_97,axiom,
    ! [B] :
      ( ilf_type(B,set_type)
     => ! [C] :
          ( ilf_type(C,set_type)
         => ( ! [D] :
                ( ilf_type(D,subset_type(cross_product(B,C)))
               => ilf_type(D,relation_type(B,C)) )
            & ! [E] :
                ( ilf_type(E,relation_type(B,C))
               => ilf_type(E,subset_type(cross_product(B,C))) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7) ).

tff(f_284,axiom,
    ! [B] :
      ( ilf_type(B,set_type)
     => ! [C] :
          ( ilf_type(C,set_type)
         => ! [D] :
              ( ilf_type(D,subset_type(cross_product(B,C)))
             => relation_like(D) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27) ).

tff(f_156,axiom,
    ! [B] :
      ( ilf_type(B,set_type)
     => ( ilf_type(B,binary_relation_type)
      <=> ( relation_like(B)
          & ilf_type(B,set_type) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14) ).

tff(f_349,axiom,
    ! [B] :
      ( ilf_type(B,set_type)
     => ! [C] :
          ( ilf_type(C,set_type)
         => ! [D] :
              ( ilf_type(D,relation_type(B,C))
             => ( domain(B,C,D) = domain_of(D) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p33) ).

tff(f_360,axiom,
    ! [B] :
      ( ilf_type(B,set_type)
     => ! [C] :
          ( ilf_type(C,set_type)
         => ! [D] :
              ( ilf_type(D,relation_type(B,C))
             => ilf_type(domain(B,C,D),subset_type(B)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p34) ).

tff(f_218,axiom,
    ! [B] :
      ( ilf_type(B,set_type)
     => ( ~ empty(power_set(B))
        & ilf_type(power_set(B),set_type) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22) ).

tff(f_169,axiom,
    ! [B] :
      ( ilf_type(B,set_type)
     => ! [C] :
          ( ilf_type(C,set_type)
         => ( ilf_type(C,subset_type(B))
          <=> ilf_type(C,member_type(power_set(B))) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16) ).

tff(f_231,axiom,
    ! [B] :
      ( ilf_type(B,set_type)
     => ! [C] :
          ( ( ~ empty(C)
            & ilf_type(C,set_type) )
         => ( ilf_type(B,member_type(C))
          <=> member(B,C) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23) ).

tff(f_121,axiom,
    ! [B] :
      ( ilf_type(B,set_type)
     => ! [C] :
          ( ilf_type(C,set_type)
         => ( subset(B,C)
          <=> ! [D] :
                ( ilf_type(D,set_type)
               => ( member(D,B)
                 => member(D,C) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9) ).

tff(f_210,axiom,
    ! [B] :
      ( ilf_type(B,set_type)
     => ! [C] :
          ( ilf_type(C,set_type)
         => ( member(B,power_set(C))
          <=> ! [D] :
                ( ilf_type(D,set_type)
               => ( member(D,B)
                 => member(D,C) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21) ).

tff(f_371,axiom,
    ! [B] :
      ( ilf_type(B,set_type)
     => ! [C] :
          ( ilf_type(C,set_type)
         => ! [D] :
              ( ilf_type(D,relation_type(B,C))
             => ( range(B,C,D) = range_of(D) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p35) ).

tff(f_382,axiom,
    ! [B] :
      ( ilf_type(B,set_type)
     => ! [C] :
          ( ilf_type(C,set_type)
         => ! [D] :
              ( ilf_type(D,relation_type(B,C))
             => ilf_type(range(B,C,D),subset_type(C)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p36) ).

tff(f_76,axiom,
    ! [B] :
      ( ilf_type(B,binary_relation_type)
     => ( field_of(B) = union(domain_of(B),range_of(B)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5) ).

tff(f_43,axiom,
    ! [B] :
      ( ilf_type(B,set_type)
     => ! [C] :
          ( ilf_type(C,set_type)
         => ! [D] :
              ( ilf_type(D,set_type)
             => ! [E] :
                  ( ilf_type(E,set_type)
                 => ( ( subset(B,C)
                      & subset(D,E) )
                   => subset(union(B,D),union(C,E)) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).

tff(c_134,plain,
    ilf_type('#skF_14',relation_type('#skF_12','#skF_13')),
    inference(cnfTransformation,[status(thm)],[f_397]) ).

tff(c_130,plain,
    ! [B_200] : ilf_type(B_200,set_type),
    inference(cnfTransformation,[status(thm)],[f_385]) ).

tff(c_18,plain,
    ! [E_39,B_29,C_35] :
      ( ilf_type(E_39,subset_type(cross_product(B_29,C_35)))
      | ~ ilf_type(E_39,relation_type(B_29,C_35))
      | ~ ilf_type(C_35,set_type)
      | ~ ilf_type(B_29,set_type) ),
    inference(cnfTransformation,[status(thm)],[f_97]) ).

tff(c_895,plain,
    ! [E_332,B_333,C_334] :
      ( ilf_type(E_332,subset_type(cross_product(B_333,C_334)))
      | ~ ilf_type(E_332,relation_type(B_333,C_334)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_130,c_130,c_18]) ).

tff(c_106,plain,
    ! [D_133,B_127,C_131] :
      ( relation_like(D_133)
      | ~ ilf_type(D_133,subset_type(cross_product(B_127,C_131)))
      | ~ ilf_type(C_131,set_type)
      | ~ ilf_type(B_127,set_type) ),
    inference(cnfTransformation,[status(thm)],[f_284]) ).

tff(c_164,plain,
    ! [D_133,B_127,C_131] :
      ( relation_like(D_133)
      | ~ ilf_type(D_133,subset_type(cross_product(B_127,C_131))) ),
    inference(demodulation,[status(thm),theory(equality)],[c_130,c_130,c_106]) ).

tff(c_909,plain,
    ! [E_335,B_336,C_337] :
      ( relation_like(E_335)
      | ~ ilf_type(E_335,relation_type(B_336,C_337)) ),
    inference(resolution,[status(thm)],[c_895,c_164]) ).

tff(c_941,plain,
    relation_like('#skF_14'),
    inference(resolution,[status(thm)],[c_134,c_909]) ).

tff(c_40,plain,
    ! [B_64] :
      ( ilf_type(B_64,binary_relation_type)
      | ~ relation_like(B_64)
      | ~ ilf_type(B_64,set_type) ),
    inference(cnfTransformation,[status(thm)],[f_156]) ).

tff(c_212,plain,
    ! [B_64] :
      ( ilf_type(B_64,binary_relation_type)
      | ~ relation_like(B_64) ),
    inference(demodulation,[status(thm),theory(equality)],[c_130,c_40]) ).

tff(c_122,plain,
    ! [B_172,C_176,D_178] :
      ( ( domain(B_172,C_176,D_178) = domain_of(D_178) )
      | ~ ilf_type(D_178,relation_type(B_172,C_176))
      | ~ ilf_type(C_176,set_type)
      | ~ ilf_type(B_172,set_type) ),
    inference(cnfTransformation,[status(thm)],[f_349]) ).

tff(c_1007,plain,
    ! [B_346,C_347,D_348] :
      ( ( domain(B_346,C_347,D_348) = domain_of(D_348) )
      | ~ ilf_type(D_348,relation_type(B_346,C_347)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_130,c_130,c_122]) ).

tff(c_1035,plain,
    domain('#skF_12','#skF_13','#skF_14') = domain_of('#skF_14'),
    inference(resolution,[status(thm)],[c_134,c_1007]) ).

tff(c_124,plain,
    ! [B_179,C_183,D_185] :
      ( ilf_type(domain(B_179,C_183,D_185),subset_type(B_179))
      | ~ ilf_type(D_185,relation_type(B_179,C_183))
      | ~ ilf_type(C_183,set_type)
      | ~ ilf_type(B_179,set_type) ),
    inference(cnfTransformation,[status(thm)],[f_360]) ).

tff(c_1208,plain,
    ! [B_363,C_364,D_365] :
      ( ilf_type(domain(B_363,C_364,D_365),subset_type(B_363))
      | ~ ilf_type(D_365,relation_type(B_363,C_364)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_130,c_130,c_124]) ).

tff(c_1222,plain,
    ( ilf_type(domain_of('#skF_14'),subset_type('#skF_12'))
    | ~ ilf_type('#skF_14',relation_type('#skF_12','#skF_13')) ),
    inference(superposition,[status(thm),theory(equality)],[c_1035,c_1208]) ).

tff(c_1227,plain,
    ilf_type(domain_of('#skF_14'),subset_type('#skF_12')),
    inference(demodulation,[status(thm),theory(equality)],[c_134,c_1222]) ).

tff(c_72,plain,
    ! [B_85] :
      ( ~ empty(power_set(B_85))
      | ~ ilf_type(B_85,set_type) ),
    inference(cnfTransformation,[status(thm)],[f_218]) ).

tff(c_190,plain,
    ! [B_85] : ~ empty(power_set(B_85)),
    inference(demodulation,[status(thm),theory(equality)],[c_130,c_72]) ).

tff(c_50,plain,
    ! [C_67,B_65] :
      ( ilf_type(C_67,member_type(power_set(B_65)))
      | ~ ilf_type(C_67,subset_type(B_65))
      | ~ ilf_type(C_67,set_type)
      | ~ ilf_type(B_65,set_type) ),
    inference(cnfTransformation,[status(thm)],[f_169]) ).

tff(c_431,plain,
    ! [C_256,B_257] :
      ( ilf_type(C_256,member_type(power_set(B_257)))
      | ~ ilf_type(C_256,subset_type(B_257)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_130,c_130,c_50]) ).

tff(c_76,plain,
    ! [B_86,C_88] :
      ( member(B_86,C_88)
      | ~ ilf_type(B_86,member_type(C_88))
      | ~ ilf_type(C_88,set_type)
      | empty(C_88)
      | ~ ilf_type(B_86,set_type) ),
    inference(cnfTransformation,[status(thm)],[f_231]) ).

tff(c_186,plain,
    ! [B_86,C_88] :
      ( member(B_86,C_88)
      | ~ ilf_type(B_86,member_type(C_88))
      | empty(C_88) ),
    inference(demodulation,[status(thm),theory(equality)],[c_130,c_130,c_76]) ).

tff(c_434,plain,
    ! [C_256,B_257] :
      ( member(C_256,power_set(B_257))
      | empty(power_set(B_257))
      | ~ ilf_type(C_256,subset_type(B_257)) ),
    inference(resolution,[status(thm)],[c_431,c_186]) ).

tff(c_437,plain,
    ! [C_256,B_257] :
      ( member(C_256,power_set(B_257))
      | ~ ilf_type(C_256,subset_type(B_257)) ),
    inference(negUnitSimplification,[status(thm)],[c_190,c_434]) ).

tff(c_28,plain,
    ! [B_46,C_52] :
      ( member('#skF_2'(B_46,C_52),B_46)
      | subset(B_46,C_52)
      | ~ ilf_type(C_52,set_type)
      | ~ ilf_type(B_46,set_type) ),
    inference(cnfTransformation,[status(thm)],[f_121]) ).

tff(c_222,plain,
    ! [B_46,C_52] :
      ( member('#skF_2'(B_46,C_52),B_46)
      | subset(B_46,C_52) ),
    inference(demodulation,[status(thm),theory(equality)],[c_130,c_130,c_28]) ).

tff(c_62,plain,
    ! [D_84,C_81,B_75] :
      ( member(D_84,C_81)
      | ~ member(D_84,B_75)
      | ~ ilf_type(D_84,set_type)
      | ~ member(B_75,power_set(C_81))
      | ~ ilf_type(C_81,set_type)
      | ~ ilf_type(B_75,set_type) ),
    inference(cnfTransformation,[status(thm)],[f_210]) ).

tff(c_560,plain,
    ! [D_278,C_279,B_280] :
      ( member(D_278,C_279)
      | ~ member(D_278,B_280)
      | ~ member(B_280,power_set(C_279)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_130,c_130,c_130,c_62]) ).

tff(c_3282,plain,
    ! [B_530,C_531,C_532] :
      ( member('#skF_2'(B_530,C_531),C_532)
      | ~ member(B_530,power_set(C_532))
      | subset(B_530,C_531) ),
    inference(resolution,[status(thm)],[c_222,c_560]) ).

tff(c_26,plain,
    ! [B_46,C_52] :
      ( ~ member('#skF_2'(B_46,C_52),C_52)
      | subset(B_46,C_52)
      | ~ ilf_type(C_52,set_type)
      | ~ ilf_type(B_46,set_type) ),
    inference(cnfTransformation,[status(thm)],[f_121]) ).

tff(c_224,plain,
    ! [B_46,C_52] :
      ( ~ member('#skF_2'(B_46,C_52),C_52)
      | subset(B_46,C_52) ),
    inference(demodulation,[status(thm),theory(equality)],[c_130,c_130,c_26]) ).

tff(c_3573,plain,
    ! [B_548,C_549] :
      ( ~ member(B_548,power_set(C_549))
      | subset(B_548,C_549) ),
    inference(resolution,[status(thm)],[c_3282,c_224]) ).

tff(c_3874,plain,
    ! [C_558,B_559] :
      ( subset(C_558,B_559)
      | ~ ilf_type(C_558,subset_type(B_559)) ),
    inference(resolution,[status(thm)],[c_437,c_3573]) ).

tff(c_3924,plain,
    subset(domain_of('#skF_14'),'#skF_12'),
    inference(resolution,[status(thm)],[c_1227,c_3874]) ).

tff(c_126,plain,
    ! [B_186,C_190,D_192] :
      ( ( range(B_186,C_190,D_192) = range_of(D_192) )
      | ~ ilf_type(D_192,relation_type(B_186,C_190))
      | ~ ilf_type(C_190,set_type)
      | ~ ilf_type(B_186,set_type) ),
    inference(cnfTransformation,[status(thm)],[f_371]) ).

tff(c_660,plain,
    ! [B_291,C_292,D_293] :
      ( ( range(B_291,C_292,D_293) = range_of(D_293) )
      | ~ ilf_type(D_293,relation_type(B_291,C_292)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_130,c_130,c_126]) ).

tff(c_668,plain,
    range('#skF_12','#skF_13','#skF_14') = range_of('#skF_14'),
    inference(resolution,[status(thm)],[c_134,c_660]) ).

tff(c_128,plain,
    ! [B_193,C_197,D_199] :
      ( ilf_type(range(B_193,C_197,D_199),subset_type(C_197))
      | ~ ilf_type(D_199,relation_type(B_193,C_197))
      | ~ ilf_type(C_197,set_type)
      | ~ ilf_type(B_193,set_type) ),
    inference(cnfTransformation,[status(thm)],[f_382]) ).

tff(c_1541,plain,
    ! [B_380,C_381,D_382] :
      ( ilf_type(range(B_380,C_381,D_382),subset_type(C_381))
      | ~ ilf_type(D_382,relation_type(B_380,C_381)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_130,c_130,c_128]) ).

tff(c_1558,plain,
    ( ilf_type(range_of('#skF_14'),subset_type('#skF_13'))
    | ~ ilf_type('#skF_14',relation_type('#skF_12','#skF_13')) ),
    inference(superposition,[status(thm),theory(equality)],[c_668,c_1541]) ).

tff(c_1564,plain,
    ilf_type(range_of('#skF_14'),subset_type('#skF_13')),
    inference(demodulation,[status(thm),theory(equality)],[c_134,c_1558]) ).

tff(c_3922,plain,
    subset(range_of('#skF_14'),'#skF_13'),
    inference(resolution,[status(thm)],[c_1564,c_3874]) ).

tff(c_14,plain,
    ! [B_27] :
      ( ( union(domain_of(B_27),range_of(B_27)) = field_of(B_27) )
      | ~ ilf_type(B_27,binary_relation_type) ),
    inference(cnfTransformation,[status(thm)],[f_76]) ).

tff(c_2,plain,
    ! [B_1,D_13,C_9,E_15] :
      ( subset(union(B_1,D_13),union(C_9,E_15))
      | ~ subset(D_13,E_15)
      | ~ subset(B_1,C_9)
      | ~ ilf_type(E_15,set_type)
      | ~ ilf_type(D_13,set_type)
      | ~ ilf_type(C_9,set_type)
      | ~ ilf_type(B_1,set_type) ),
    inference(cnfTransformation,[status(thm)],[f_43]) ).

tff(c_1789,plain,
    ! [B_402,D_403,C_404,E_405] :
      ( subset(union(B_402,D_403),union(C_404,E_405))
      | ~ subset(D_403,E_405)
      | ~ subset(B_402,C_404) ),
    inference(demodulation,[status(thm),theory(equality)],[c_130,c_130,c_130,c_130,c_2]) ).

tff(c_9143,plain,
    ! [B_824,C_825,E_826] :
      ( subset(field_of(B_824),union(C_825,E_826))
      | ~ subset(range_of(B_824),E_826)
      | ~ subset(domain_of(B_824),C_825)
      | ~ ilf_type(B_824,binary_relation_type) ),
    inference(superposition,[status(thm),theory(equality)],[c_14,c_1789]) ).

tff(c_132,plain,
    ~ subset(field_of('#skF_14'),union('#skF_12','#skF_13')),
    inference(cnfTransformation,[status(thm)],[f_397]) ).

tff(c_9163,plain,
    ( ~ subset(range_of('#skF_14'),'#skF_13')
    | ~ subset(domain_of('#skF_14'),'#skF_12')
    | ~ ilf_type('#skF_14',binary_relation_type) ),
    inference(resolution,[status(thm)],[c_9143,c_132]) ).

tff(c_9181,plain,
    ~ ilf_type('#skF_14',binary_relation_type),
    inference(demodulation,[status(thm),theory(equality)],[c_3924,c_3922,c_9163]) ).

tff(c_9184,plain,
    ~ relation_like('#skF_14'),
    inference(resolution,[status(thm)],[c_212,c_9181]) ).

tff(c_9188,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_941,c_9184]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SET657+3 : TPTP v8.1.2. Released v2.2.0.
% 0.14/0.14  % 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
% 0.14/0.36  % Computer : n003.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu Aug  3 16:32:38 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 11.28/3.72  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.28/3.73  
% 11.28/3.73  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 11.28/3.76  
% 11.28/3.76  Inference rules
% 11.28/3.76  ----------------------
% 11.28/3.76  #Ref     : 1
% 11.28/3.76  #Sup     : 2064
% 11.28/3.76  #Fact    : 14
% 11.28/3.76  #Define  : 0
% 11.28/3.76  #Split   : 5
% 11.28/3.76  #Chain   : 0
% 11.28/3.76  #Close   : 0
% 11.28/3.76  
% 11.28/3.76  Ordering : KBO
% 11.28/3.76  
% 11.28/3.76  Simplification rules
% 11.28/3.76  ----------------------
% 11.28/3.76  #Subsume      : 461
% 11.28/3.76  #Demod        : 455
% 11.28/3.76  #Tautology    : 285
% 11.28/3.76  #SimpNegUnit  : 39
% 11.28/3.76  #BackRed      : 3
% 11.28/3.76  
% 11.28/3.76  #Partial instantiations: 0
% 11.28/3.76  #Strategies tried      : 1
% 11.28/3.76  
% 11.28/3.76  Timing (in seconds)
% 11.28/3.76  ----------------------
% 11.28/3.77  Preprocessing        : 0.69
% 11.28/3.77  Parsing              : 0.35
% 11.28/3.77  CNF conversion       : 0.06
% 11.28/3.77  Main loop            : 1.98
% 11.28/3.77  Inferencing          : 0.64
% 11.28/3.77  Reduction            : 0.68
% 11.28/3.77  Demodulation         : 0.49
% 11.28/3.77  BG Simplification    : 0.07
% 11.28/3.77  Subsumption          : 0.45
% 11.28/3.77  Abstraction          : 0.06
% 11.28/3.77  MUC search           : 0.00
% 11.28/3.77  Cooper               : 0.00
% 11.28/3.77  Total                : 2.73
% 11.28/3.77  Index Insertion      : 0.00
% 11.28/3.77  Index Deletion       : 0.00
% 11.28/3.77  Index Matching       : 0.00
% 11.28/3.77  BG Taut test         : 0.00
%------------------------------------------------------------------------------