TSTP Solution File: SYN619-1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN619-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n015.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 : Sun May  5 12:11:42 EDT 2024

% Result   : Unsatisfiable 0.17s 0.34s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   40 (   9 unt;   0 def)
%            Number of atoms       :   89 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   82 (  33   ~;  42   |;   0   &)
%                                         (   7 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   12 (  11 usr;   8 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;   7 con; 0-2 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f302,plain,
    $false,
    inference(avatar_sat_refutation,[],[f219,f235,f253,f261,f267,f272,f285,f301]) ).

fof(f301,plain,
    ( spl2_4
    | ~ spl2_5
    | spl2_6 ),
    inference(avatar_split_clause,[],[f291,f216,f212,f208]) ).

fof(f208,plain,
    ( spl2_4
  <=> p2(f14(c24),c20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).

fof(f212,plain,
    ( spl2_5
  <=> p18(c24,f6(c25)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).

fof(f216,plain,
    ( spl2_6
  <=> p18(c24,f6(c19)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).

fof(f291,plain,
    ( ~ p18(c24,f6(c25))
    | p2(f14(c24),c20)
    | spl2_6 ),
    inference(resolution,[],[f217,f24]) ).

fof(f24,axiom,
    ! [X36] :
      ( p18(X36,f6(c19))
      | ~ p18(X36,f6(c25))
      | p2(f14(X36),c20) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_24) ).

fof(f217,plain,
    ( ~ p18(c24,f6(c19))
    | spl2_6 ),
    inference(avatar_component_clause,[],[f216]) ).

fof(f285,plain,
    ~ spl2_9,
    inference(avatar_contradiction_clause,[],[f278]) ).

fof(f278,plain,
    ( $false
    | ~ spl2_9 ),
    inference(resolution,[],[f234,f8]) ).

fof(f8,axiom,
    ~ p18(c24,f6(f7(c22,c23))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p18_8) ).

fof(f234,plain,
    ( p18(c24,f6(f7(c22,c23)))
    | ~ spl2_9 ),
    inference(avatar_component_clause,[],[f232]) ).

fof(f232,plain,
    ( spl2_9
  <=> p18(c24,f6(f7(c22,c23))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).

fof(f272,plain,
    spl2_7,
    inference(avatar_contradiction_clause,[],[f268]) ).

fof(f268,plain,
    ( $false
    | spl2_7 ),
    inference(resolution,[],[f226,f6]) ).

fof(f6,axiom,
    ! [X5] : p17(X5,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_6) ).

fof(f226,plain,
    ( ~ p17(c21,c21)
    | spl2_7 ),
    inference(avatar_component_clause,[],[f224]) ).

fof(f224,plain,
    ( spl2_7
  <=> p17(c21,c21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).

fof(f267,plain,
    spl2_8,
    inference(avatar_contradiction_clause,[],[f262]) ).

fof(f262,plain,
    ( $false
    | spl2_8 ),
    inference(resolution,[],[f230,f5]) ).

fof(f5,axiom,
    ! [X4] : p2(X4,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).

fof(f230,plain,
    ( ~ p2(c20,c20)
    | spl2_8 ),
    inference(avatar_component_clause,[],[f228]) ).

fof(f228,plain,
    ( spl2_8
  <=> p2(c20,c20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_8])]) ).

fof(f261,plain,
    spl2_5,
    inference(avatar_contradiction_clause,[],[f254]) ).

fof(f254,plain,
    ( $false
    | spl2_5 ),
    inference(resolution,[],[f214,f7]) ).

fof(f7,axiom,
    p18(c24,f6(c25)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_7) ).

fof(f214,plain,
    ( ~ p18(c24,f6(c25))
    | spl2_5 ),
    inference(avatar_component_clause,[],[f212]) ).

fof(f253,plain,
    ( spl2_3
    | ~ spl2_5
    | spl2_6 ),
    inference(avatar_split_clause,[],[f236,f216,f212,f204]) ).

fof(f204,plain,
    ( spl2_3
  <=> p17(c21,f15(c24)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

fof(f236,plain,
    ( ~ p18(c24,f6(c25))
    | p17(c21,f15(c24))
    | spl2_6 ),
    inference(resolution,[],[f217,f67]) ).

fof(f67,plain,
    ! [X0] :
      ( p18(X0,f6(c19))
      | ~ p18(X0,f6(c25))
      | p17(c21,f15(X0)) ),
    inference(resolution,[],[f27,f9]) ).

fof(f9,axiom,
    ! [X6,X7] :
      ( ~ p17(f3(X6),X7)
      | p17(X6,X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_9) ).

fof(f27,axiom,
    ! [X36] :
      ( p17(f3(c21),f15(X36))
      | p18(X36,f6(c19))
      | ~ p18(X36,f6(c25)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_27) ).

fof(f235,plain,
    ( ~ spl2_7
    | ~ spl2_8
    | ~ spl2_6
    | spl2_9 ),
    inference(avatar_split_clause,[],[f106,f232,f216,f228,f224]) ).

fof(f106,plain,
    ( p18(c24,f6(f7(c22,c23)))
    | ~ p18(c24,f6(c19))
    | ~ p2(c20,c20)
    | ~ p17(c21,c21) ),
    inference(resolution,[],[f34,f32]) ).

fof(f32,axiom,
    ! [X58,X59,X57] :
      ( ~ p8(c24,f9(f13(X57,X58),X59))
      | ~ p2(X57,c20)
      | ~ p17(c21,X58) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_32) ).

fof(f34,axiom,
    ! [X60] :
      ( p8(X60,f9(f13(c20,c21),f11(f12(f7(c22,c23)))))
      | p18(X60,f6(f7(c22,c23)))
      | ~ p18(X60,f6(c19)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_34) ).

fof(f219,plain,
    ( ~ spl2_3
    | ~ spl2_4
    | ~ spl2_5
    | spl2_6 ),
    inference(avatar_split_clause,[],[f104,f216,f212,f208,f204]) ).

fof(f104,plain,
    ( p18(c24,f6(c19))
    | ~ p18(c24,f6(c25))
    | ~ p2(f14(c24),c20)
    | ~ p17(c21,f15(c24)) ),
    inference(resolution,[],[f33,f32]) ).

fof(f33,axiom,
    ! [X36] :
      ( p8(X36,f9(f13(f14(X36),f15(X36)),f16(X36)))
      | p18(X36,f6(c19))
      | ~ p18(X36,f6(c25)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_33) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem    : SYN619-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.12  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.31  % Computer : n015.cluster.edu
% 0.12/0.31  % Model    : x86_64 x86_64
% 0.12/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31  % Memory   : 8042.1875MB
% 0.12/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31  % CPULimit   : 300
% 0.12/0.31  % WCLimit    : 300
% 0.12/0.31  % DateTime   : Fri May  3 17:52:08 EDT 2024
% 0.12/0.31  % CPUTime    : 
% 0.17/0.31  % (15902)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.33  % (15903)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.17/0.33  % (15905)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.17/0.33  % (15904)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.17/0.33  % (15907)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.17/0.33  % (15908)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.17/0.33  % (15906)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.17/0.33  % (15909)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.17/0.33  TRYING [1]
% 0.17/0.33  TRYING [1]
% 0.17/0.33  TRYING [1]
% 0.17/0.33  TRYING [1]
% 0.17/0.33  TRYING [2]
% 0.17/0.33  TRYING [2]
% 0.17/0.33  TRYING [2]
% 0.17/0.33  TRYING [2]
% 0.17/0.34  % (15905)First to succeed.
% 0.17/0.34  TRYING [3]
% 0.17/0.34  % (15905)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15902"
% 0.17/0.34  TRYING [3]
% 0.17/0.34  TRYING [3]
% 0.17/0.34  TRYING [3]
% 0.17/0.34  % (15905)Refutation found. Thanks to Tanya!
% 0.17/0.34  % SZS status Unsatisfiable for theBenchmark
% 0.17/0.34  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.34  % (15905)------------------------------
% 0.17/0.34  % (15905)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.17/0.34  % (15905)Termination reason: Refutation
% 0.17/0.34  
% 0.17/0.34  % (15905)Memory used [KB]: 895
% 0.17/0.34  % (15905)Time elapsed: 0.009 s
% 0.17/0.34  % (15905)Instructions burned: 12 (million)
% 0.17/0.34  % (15902)Success in time 0.014 s
%------------------------------------------------------------------------------