TSTP Solution File: SYN599-1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN599-1 : 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 : 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 : Tue Apr 30 18:04:33 EDT 2024

% Result   : Unsatisfiable 0.15s 0.38s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   37 (   8 unt;   0 def)
%            Number of atoms       :   86 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  104 (  55   ~;  44   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :   11 (   3 avg)
%            Number of predicates  :   10 (   9 usr;   5 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   3 con; 0-2 aty)
%            Number of variables   :   36 (  36   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f253,plain,
    $false,
    inference(avatar_sat_refutation,[],[f190,f205,f243,f250,f252]) ).

fof(f252,plain,
    spl2_4,
    inference(avatar_contradiction_clause,[],[f251]) ).

fof(f251,plain,
    ( $false
    | spl2_4 ),
    inference(resolution,[],[f242,f2]) ).

fof(f2,axiom,
    p18(c21),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c21_is_p18_2) ).

fof(f242,plain,
    ( ~ p18(c21)
    | spl2_4 ),
    inference(avatar_component_clause,[],[f240]) ).

fof(f240,plain,
    ( spl2_4
  <=> p18(c21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).

fof(f250,plain,
    spl2_3,
    inference(avatar_contradiction_clause,[],[f248]) ).

fof(f248,plain,
    ( $false
    | spl2_3 ),
    inference(resolution,[],[f238,f7]) ).

fof(f7,axiom,
    p3(f4(f6(c21)),c22),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_7) ).

fof(f238,plain,
    ( ~ p3(f4(f6(c21)),c22)
    | spl2_3 ),
    inference(avatar_component_clause,[],[f236]) ).

fof(f236,plain,
    ( spl2_3
  <=> p3(f4(f6(c21)),c22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

fof(f243,plain,
    ( ~ spl2_3
    | ~ spl2_4
    | ~ spl2_2 ),
    inference(avatar_split_clause,[],[f217,f188,f240,f236]) ).

fof(f188,plain,
    ( spl2_2
  <=> ! [X0] :
        ( ~ p7(f15(f16(X0)),f15(f16(c21)))
        | ~ p3(f14(f4(f6(X0))),f14(c22))
        | ~ p18(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f217,plain,
    ( ~ p18(c21)
    | ~ p3(f4(f6(c21)),c22)
    | ~ spl2_2 ),
    inference(resolution,[],[f214,f3]) ).

fof(f3,axiom,
    ! [X0] : p7(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_3) ).

fof(f214,plain,
    ( ! [X0] :
        ( ~ p7(f15(f16(X0)),f15(f16(c21)))
        | ~ p18(X0)
        | ~ p3(f4(f6(X0)),c22) )
    | ~ spl2_2 ),
    inference(resolution,[],[f189,f15]) ).

fof(f15,axiom,
    ! [X18,X19] :
      ( p3(f14(X18),f14(X19))
      | ~ p3(X18,X19) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_15) ).

fof(f189,plain,
    ( ! [X0] :
        ( ~ p3(f14(f4(f6(X0))),f14(c22))
        | ~ p7(f15(f16(X0)),f15(f16(c21)))
        | ~ p18(X0) )
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f188]) ).

fof(f205,plain,
    spl2_1,
    inference(avatar_contradiction_clause,[],[f202]) ).

fof(f202,plain,
    ( $false
    | spl2_1 ),
    inference(resolution,[],[f186,f3]) ).

fof(f186,plain,
    ( ~ p7(f12(f10(f13(f11(c23)))),f12(f10(f13(f11(c23)))))
    | spl2_1 ),
    inference(avatar_component_clause,[],[f184]) ).

fof(f184,plain,
    ( spl2_1
  <=> p7(f12(f10(f13(f11(c23)))),f12(f10(f13(f11(c23))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f190,plain,
    ( ~ spl2_1
    | spl2_2 ),
    inference(avatar_split_clause,[],[f181,f188,f184]) ).

fof(f181,plain,
    ! [X0] :
      ( ~ p7(f15(f16(X0)),f15(f16(c21)))
      | ~ p18(X0)
      | ~ p3(f14(f4(f6(X0))),f14(c22))
      | ~ p7(f12(f10(f13(f11(c23)))),f12(f10(f13(f11(c23))))) ),
    inference(resolution,[],[f159,f25]) ).

fof(f25,axiom,
    ! [X44,X45,X42,X43] :
      ( p7(f9(X42,X43),f9(X44,X45))
      | ~ p3(X43,X45)
      | ~ p7(X42,X44) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_25) ).

fof(f159,plain,
    ! [X0] :
      ( ~ p7(f9(f12(f10(f13(f11(c23)))),f14(f4(f6(X0)))),f9(f12(f10(f13(f11(c23)))),f14(c22)))
      | ~ p7(f15(f16(X0)),f15(f16(c21)))
      | ~ p18(X0) ),
    inference(resolution,[],[f65,f29]) ).

fof(f29,axiom,
    ! [X50] :
      ( p19(f15(f16(X50)),f8(f9(f12(f10(f13(f11(c23)))),f14(f4(f6(X50)))),f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23)))))))))))
      | ~ p18(X50) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_29) ).

fof(f65,plain,
    ! [X0,X1] :
      ( ~ p19(X1,f8(X0,f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23)))))))))))
      | ~ p7(X1,f15(f16(c21)))
      | ~ p7(X0,f9(f12(f10(f13(f11(c23)))),f14(c22))) ),
    inference(resolution,[],[f56,f32]) ).

fof(f32,plain,
    ! [X36,X37,X34] :
      ( sP1(X37,X34)
      | ~ p7(X36,X34)
      | ~ p19(X36,X37) ),
    inference(cnf_transformation,[],[f32_D]) ).

fof(f32_D,plain,
    ! [X34,X37] :
      ( ! [X36] :
          ( ~ p7(X36,X34)
          | ~ p19(X36,X37) )
    <=> ~ sP1(X37,X34) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).

fof(f56,plain,
    ! [X0] :
      ( ~ sP1(f8(X0,f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23)))))))))),f15(f16(c21)))
      | ~ p7(X0,f9(f12(f10(f13(f11(c23)))),f14(c22))) ),
    inference(resolution,[],[f37,f3]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ~ sP1(f8(X0,X1),f15(f16(c21)))
      | ~ p7(X0,f9(f12(f10(f13(f11(c23)))),f14(c22)))
      | ~ p7(X1,f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23)))))))))) ),
    inference(resolution,[],[f34,f26]) ).

fof(f26,axiom,
    ! [X48,X46,X49,X47] :
      ( p7(f8(X46,X47),f8(X48,X49))
      | ~ p7(X46,X48)
      | ~ p7(X47,X49) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_26) ).

fof(f34,plain,
    ! [X0] :
      ( ~ p7(X0,f8(f9(f12(f10(f13(f11(c23)))),f14(c22)),f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23)))))))))))
      | ~ sP1(X0,f15(f16(c21))) ),
    inference(resolution,[],[f27,f33]) ).

fof(f33,plain,
    ! [X37,X34,X35] :
      ( p19(X34,X35)
      | ~ p7(X37,X35)
      | ~ sP1(X37,X34) ),
    inference(general_splitting,[],[f23,f32_D]) ).

fof(f23,axiom,
    ! [X36,X37,X34,X35] :
      ( ~ p19(X36,X37)
      | ~ p7(X37,X35)
      | ~ p7(X36,X34)
      | p19(X34,X35) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_23) ).

fof(f27,axiom,
    ~ p19(f15(f16(c21)),f8(f9(f12(f10(f13(f11(c23)))),f14(c22)),f9(f12(f10(f13(f11(c23)))),f10(f11(f11(f11(f11(f11(f11(f11(c23))))))))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p19_27) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN599-1 : TPTP v8.1.2. Released v2.5.0.
% 0.14/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n031.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Apr 30 02:28:34 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  % (24318)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37  % (24324)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.37  % (24325)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)
% 0.15/0.37  % (24323)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37  % (24322)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.37  % (24321)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)
% 0.15/0.37  % (24319)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37  % (24320)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37  Detected minimum model sizes of [1,1,1,1,1]
% 0.15/0.37  Detected maximum model sizes of [1,max,max,max,max]
% 0.15/0.37  TRYING [1,1,1,1,1]
% 0.15/0.37  TRYING [1]
% 0.15/0.37  TRYING [1]
% 0.15/0.37  Detected minimum model sizes of [1,1,1]
% 0.15/0.37  Detected maximum model sizes of [1,max,max]
% 0.15/0.37  TRYING [1,1,1]
% 0.15/0.37  TRYING [2]
% 0.15/0.37  TRYING [1,2,1,1,1]
% 0.15/0.37  TRYING [2]
% 0.15/0.37  TRYING [1,2,1]
% 0.15/0.38  % (24321)First to succeed.
% 0.15/0.38  % (24321)Refutation found. Thanks to Tanya!
% 0.15/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38  % (24321)------------------------------
% 0.15/0.38  % (24321)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38  % (24321)Termination reason: Refutation
% 0.15/0.38  
% 0.15/0.38  % (24321)Memory used [KB]: 893
% 0.15/0.38  % (24321)Time elapsed: 0.010 s
% 0.15/0.38  % (24321)Instructions burned: 13 (million)
% 0.15/0.38  % (24321)------------------------------
% 0.15/0.38  % (24321)------------------------------
% 0.15/0.38  % (24318)Success in time 0.016 s
%------------------------------------------------------------------------------