TSTP Solution File: SYN213-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN213-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n018.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 : Wed Aug 31 19:25:52 EDT 2022

% Result   : Unsatisfiable 0.20s 0.54s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   29
% Syntax   : Number of formulae    :   68 (  14 unt;   0 def)
%            Number of atoms       :  142 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  152 (  78   ~;  66   |;   0   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   26 (  25 usr;   9 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   56 (  56   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f615,plain,
    $false,
    inference(avatar_sat_refutation,[],[f383,f482,f519,f561,f563,f564,f605,f611,f614]) ).

fof(f614,plain,
    spl0_28,
    inference(avatar_contradiction_clause,[],[f613]) ).

fof(f613,plain,
    ( $false
    | spl0_28 ),
    inference(resolution,[],[f612,f34]) ).

fof(f34,axiom,
    n0(c,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_34) ).

fof(f612,plain,
    ( ! [X0] : ~ n0(X0,d)
    | spl0_28 ),
    inference(resolution,[],[f604,f39]) ).

fof(f39,axiom,
    ! [X2,X3] :
      ( k1(X2)
      | ~ n0(X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_001) ).

fof(f604,plain,
    ( ~ k1(d)
    | spl0_28 ),
    inference(avatar_component_clause,[],[f602]) ).

fof(f602,plain,
    ( spl0_28
  <=> k1(d) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f611,plain,
    spl0_19,
    inference(avatar_contradiction_clause,[],[f610]) ).

fof(f610,plain,
    ( $false
    | spl0_19 ),
    inference(resolution,[],[f477,f1]) ).

fof(f1,axiom,
    s0(d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).

fof(f477,plain,
    ( ~ s0(d)
    | spl0_19 ),
    inference(avatar_component_clause,[],[f475]) ).

fof(f475,plain,
    ( spl0_19
  <=> s0(d) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f605,plain,
    ( ~ spl0_19
    | ~ spl0_28
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f599,f458,f602,f475]) ).

fof(f458,plain,
    ( spl0_17
  <=> ! [X2,X3] :
        ( ~ p0(X3,X2)
        | ~ n3(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f599,plain,
    ( ~ k1(d)
    | ~ s0(d)
    | ~ spl0_17 ),
    inference(resolution,[],[f567,f189]) ).

fof(f189,axiom,
    ( p2(d,d,d)
    | ~ k1(d)
    | ~ s0(d) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_151) ).

fof(f567,plain,
    ( ! [X2,X3] : ~ p2(X2,X3,d)
    | ~ spl0_17 ),
    inference(resolution,[],[f565,f10]) ).

fof(f10,axiom,
    p0(b,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).

fof(f565,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ p0(X0,X1)
        | ~ p2(X2,X3,X1) )
    | ~ spl0_17 ),
    inference(resolution,[],[f459,f278]) ).

fof(f278,axiom,
    ! [X8,X9,X7] :
      ( n3(X7)
      | ~ p2(X8,X9,X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_240) ).

fof(f459,plain,
    ( ! [X2,X3] :
        ( ~ n3(X2)
        | ~ p0(X3,X2) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f458]) ).

fof(f564,plain,
    ( spl0_17
    | spl0_16
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f522,f381,f455,f458]) ).

fof(f455,plain,
    ( spl0_16
  <=> ! [X0,X1] : ~ q3(X0,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f381,plain,
    ( spl0_2
  <=> ! [X0] : ~ r4(X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f522,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ q3(X0,X1)
        | ~ n3(X2)
        | ~ p0(X3,X2) )
    | ~ spl0_2 ),
    inference(resolution,[],[f382,f336]) ).

fof(f336,axiom,
    ! [X2,X3,X4,X5] :
      ( r4(X4)
      | ~ q3(X5,X2)
      | ~ n3(X4)
      | ~ p0(X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_298) ).

fof(f382,plain,
    ( ! [X0] : ~ r4(X0)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f381]) ).

fof(f563,plain,
    spl0_24,
    inference(avatar_contradiction_clause,[],[f562]) ).

fof(f562,plain,
    ( $false
    | spl0_24 ),
    inference(resolution,[],[f560,f13]) ).

fof(f13,axiom,
    r0(e),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).

fof(f560,plain,
    ( ~ r0(e)
    | spl0_24 ),
    inference(avatar_component_clause,[],[f558]) ).

fof(f558,plain,
    ( spl0_24
  <=> r0(e) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f561,plain,
    ( ~ spl0_18
    | ~ spl0_24
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f555,f455,f558,f471]) ).

fof(f471,plain,
    ( spl0_18
  <=> k0(e) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f555,plain,
    ( ~ r0(e)
    | ~ k0(e)
    | ~ spl0_16 ),
    inference(resolution,[],[f550,f128]) ).

fof(f128,axiom,
    ( p1(e,e,e)
    | ~ k0(e)
    | ~ r0(e) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_090) ).

fof(f550,plain,
    ( ~ p1(e,e,e)
    | ~ spl0_16 ),
    inference(resolution,[],[f542,f219]) ).

fof(f219,axiom,
    ! [X2] :
      ( q2(X2,X2,X2)
      | ~ p1(X2,X2,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_181) ).

fof(f542,plain,
    ( ! [X4] : ~ q2(e,e,X4)
    | ~ spl0_16 ),
    inference(resolution,[],[f523,f30]) ).

fof(f30,axiom,
    n0(e,e),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_30) ).

fof(f523,plain,
    ( ! [X2,X0,X1] :
        ( ~ n0(X0,X1)
        | ~ q2(X0,X1,X2) )
    | ~ spl0_16 ),
    inference(resolution,[],[f456,f293]) ).

fof(f293,axiom,
    ! [X2,X4,X5] :
      ( q3(X4,X5)
      | ~ q2(X2,X4,X5)
      | ~ n0(X2,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_255) ).

fof(f456,plain,
    ( ! [X0,X1] : ~ q3(X0,X1)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f455]) ).

fof(f519,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f518]) ).

fof(f518,plain,
    ( $false
    | spl0_1 ),
    inference(resolution,[],[f514,f9]) ).

fof(f9,axiom,
    r0(b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).

fof(f514,plain,
    ( ~ r0(b)
    | spl0_1 ),
    inference(resolution,[],[f492,f158]) ).

fof(f158,axiom,
    ( q1(b,b,b)
    | ~ r0(b) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_120) ).

fof(f492,plain,
    ( ~ q1(b,b,b)
    | spl0_1 ),
    inference(resolution,[],[f489,f192]) ).

fof(f192,axiom,
    ! [X10] :
      ( p2(X10,X10,X10)
      | ~ q1(X10,X10,X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_154) ).

fof(f489,plain,
    ( ~ p2(b,b,b)
    | spl0_1 ),
    inference(condensation,[],[f488]) ).

fof(f488,plain,
    ( ! [X2] :
        ( ~ p2(b,b,b)
        | ~ p2(X2,b,b) )
    | spl0_1 ),
    inference(resolution,[],[f462,f276]) ).

fof(f276,axiom,
    ! [X2] :
      ( m3(X2,X2,X2)
      | ~ p2(X2,X2,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_238) ).

fof(f462,plain,
    ( ! [X2,X0,X1] :
        ( ~ m3(b,X2,X1)
        | ~ p2(X0,b,X1) )
    | spl0_1 ),
    inference(resolution,[],[f452,f289]) ).

fof(f289,axiom,
    ! [X10,X11,X6,X7] :
      ( p3(X10,X11,X11)
      | ~ p2(X10,X11,X7)
      | ~ m3(X11,X6,X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_251) ).

fof(f452,plain,
    ( ! [X2,X1] : ~ p3(X1,X2,b)
    | spl0_1 ),
    inference(resolution,[],[f379,f315]) ).

fof(f315,axiom,
    ! [X3,X10,X11] :
      ( l4(X3)
      | ~ p3(X10,X11,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_277) ).

fof(f379,plain,
    ( ~ l4(b)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f377,plain,
    ( spl0_1
  <=> l4(b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f482,plain,
    spl0_18,
    inference(avatar_contradiction_clause,[],[f481]) ).

fof(f481,plain,
    ( $false
    | spl0_18 ),
    inference(resolution,[],[f473,f28]) ).

fof(f28,axiom,
    k0(e),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).

fof(f473,plain,
    ( ~ k0(e)
    | spl0_18 ),
    inference(avatar_component_clause,[],[f471]) ).

fof(f383,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f374,f381,f377]) ).

fof(f374,plain,
    ! [X0] :
      ( ~ r4(X0)
      | ~ l4(b) ),
    inference(resolution,[],[f369,f367]) ).

fof(f367,axiom,
    ! [X2,X5] :
      ( s5(X5)
      | ~ r4(X2)
      | ~ l4(X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_329) ).

fof(f369,axiom,
    ~ s5(b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN213-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n018.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   : Tue Aug 30 21:41:25 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.20/0.50  % (24286)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.51  % (24302)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.20/0.51  % (24286)Instruction limit reached!
% 0.20/0.51  % (24286)------------------------------
% 0.20/0.51  % (24286)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (24294)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.20/0.52  % (24286)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (24286)Termination reason: Unknown
% 0.20/0.52  % (24286)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (24286)Memory used [KB]: 6140
% 0.20/0.52  % (24286)Time elapsed: 0.007 s
% 0.20/0.52  % (24286)Instructions burned: 6 (million)
% 0.20/0.52  % (24286)------------------------------
% 0.20/0.52  % (24286)------------------------------
% 0.20/0.53  % (24283)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (24288)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.53  % (24283)Refutation not found, incomplete strategy% (24283)------------------------------
% 0.20/0.53  % (24283)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (24283)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (24283)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (24283)Memory used [KB]: 6140
% 0.20/0.53  % (24283)Time elapsed: 0.002 s
% 0.20/0.53  % (24283)Instructions burned: 2 (million)
% 0.20/0.53  % (24283)------------------------------
% 0.20/0.53  % (24283)------------------------------
% 0.20/0.53  % (24302)Refutation not found, incomplete strategy% (24302)------------------------------
% 0.20/0.53  % (24302)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (24299)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.53  % (24302)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (24302)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (24302)Memory used [KB]: 6396
% 0.20/0.53  % (24302)Time elapsed: 0.121 s
% 0.20/0.53  % (24302)Instructions burned: 10 (million)
% 0.20/0.53  % (24302)------------------------------
% 0.20/0.53  % (24302)------------------------------
% 0.20/0.53  % (24294)First to succeed.
% 0.20/0.54  % (24277)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.54  % (24294)Refutation found. Thanks to Tanya!
% 0.20/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54  % (24294)------------------------------
% 0.20/0.54  % (24294)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (24294)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (24294)Termination reason: Refutation
% 0.20/0.54  
% 0.20/0.54  % (24294)Memory used [KB]: 11001
% 0.20/0.54  % (24294)Time elapsed: 0.118 s
% 0.20/0.54  % (24294)Instructions burned: 7 (million)
% 0.20/0.54  % (24294)------------------------------
% 0.20/0.54  % (24294)------------------------------
% 0.20/0.54  % (24275)Success in time 0.174 s
%------------------------------------------------------------------------------