TSTP Solution File: SYN219-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN219-1 : 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 : n009.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 19:25:54 EDT 2022

% Result   : Unsatisfiable 1.45s 0.54s
% Output   : Refutation 1.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   42 (   9 unt;   0 def)
%            Number of atoms       :   90 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  103 (  55   ~;  42   |;   0   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   13 (  12 usr;   7 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   31 (  31   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f914,plain,
    $false,
    inference(avatar_sat_refutation,[],[f380,f390,f399,f446,f451,f455,f913]) ).

fof(f913,plain,
    ( ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f912]) ).

fof(f912,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f911,f903]) ).

fof(f903,plain,
    ( s1(d)
    | ~ spl0_2 ),
    inference(resolution,[],[f456,f25]) ).

fof(f25,axiom,
    q0(d,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_25) ).

fof(f456,plain,
    ( ! [X0,X1] :
        ( ~ q0(X0,X1)
        | s1(X0) )
    | ~ spl0_2 ),
    inference(resolution,[],[f378,f164]) ).

fof(f164,axiom,
    ! [X9,X4,X5] :
      ( s1(X9)
      | ~ q0(X9,X4)
      | ~ s1(X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_126) ).

fof(f378,plain,
    ( s1(e)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f377,plain,
    ( spl0_2
  <=> s1(e) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f911,plain,
    ( ~ s1(d)
    | ~ spl0_3 ),
    inference(resolution,[],[f386,f19]) ).

fof(f19,axiom,
    ! [X0,X1] : m0(X0,d,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).

fof(f386,plain,
    ( ! [X2,X3] :
        ( ~ m0(X3,X2,b)
        | ~ s1(X2) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f385]) ).

fof(f385,plain,
    ( spl0_3
  <=> ! [X2,X3] :
        ( ~ m0(X3,X2,b)
        | ~ s1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f455,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f454]) ).

fof(f454,plain,
    ( $false
    | ~ spl0_4 ),
    inference(resolution,[],[f389,f14]) ).

fof(f14,axiom,
    ! [X0] : p0(b,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).

fof(f389,plain,
    ( ! [X4] : ~ p0(X4,X4)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f388]) ).

fof(f388,plain,
    ( spl0_4
  <=> ! [X4] : ~ p0(X4,X4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f451,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f448]) ).

fof(f448,plain,
    ( $false
    | ~ spl0_5 ),
    inference(resolution,[],[f395,f2]) ).

fof(f2,axiom,
    q0(e,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

fof(f395,plain,
    ( ! [X0] : ~ q0(e,X0)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f394]) ).

fof(f394,plain,
    ( spl0_5
  <=> ! [X0] : ~ q0(e,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f446,plain,
    ( spl0_4
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f444,f397,f388]) ).

fof(f397,plain,
    ( spl0_6
  <=> ! [X1] : ~ s1(X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f444,plain,
    ( ! [X0] : ~ p0(X0,X0)
    | ~ spl0_6 ),
    inference(resolution,[],[f398,f163]) ).

fof(f163,axiom,
    ! [X2] :
      ( ~ p0(X2,X2)
      | s1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_125) ).

fof(f398,plain,
    ( ! [X1] : ~ s1(X1)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f397]) ).

fof(f399,plain,
    ( spl0_5
    | spl0_6
    | spl0_2 ),
    inference(avatar_split_clause,[],[f392,f377,f397,f394]) ).

fof(f392,plain,
    ( ! [X0,X1] :
        ( ~ s1(X1)
        | ~ q0(e,X0) )
    | spl0_2 ),
    inference(resolution,[],[f379,f164]) ).

fof(f379,plain,
    ( ~ s1(e)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f390,plain,
    ( spl0_3
    | spl0_4
    | spl0_1 ),
    inference(avatar_split_clause,[],[f383,f373,f388,f385]) ).

fof(f373,plain,
    ( spl0_1
  <=> l2(b,b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f383,plain,
    ( ! [X2,X3,X4] :
        ( ~ p0(X4,X4)
        | ~ m0(X3,X2,b)
        | ~ s1(X2) )
    | spl0_1 ),
    inference(resolution,[],[f375,f171]) ).

fof(f171,axiom,
    ! [X3,X10,X11,X6] :
      ( ~ s1(X11)
      | ~ m0(X6,X11,X3)
      | ~ p0(X10,X10)
      | l2(X3,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_133) ).

fof(f375,plain,
    ( ~ l2(b,b)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f373]) ).

fof(f380,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f371,f377,f373]) ).

fof(f371,plain,
    ( ~ s1(e)
    | ~ l2(b,b) ),
    inference(subsumption_resolution,[],[f370,f11]) ).

fof(f11,axiom,
    n0(e,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).

fof(f370,plain,
    ( ~ n0(e,b)
    | ~ l2(b,b)
    | ~ s1(e) ),
    inference(resolution,[],[f369,f169]) ).

fof(f169,axiom,
    ! [X8,X7] :
      ( ~ s1(X7)
      | l2(X7,X8)
      | ~ l2(X8,X8)
      | ~ n0(e,X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_131) ).

fof(f369,axiom,
    ~ l2(e,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN219-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n009.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 21:35:05 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.51  % (18685)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.52  % (18692)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.20/0.52  % (18685)Refutation not found, incomplete strategy% (18685)------------------------------
% 0.20/0.52  % (18685)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (18685)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (18685)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52  
% 0.20/0.52  % (18685)Memory used [KB]: 6140
% 0.20/0.52  % (18685)Time elapsed: 0.003 s
% 0.20/0.52  % (18685)Instructions burned: 2 (million)
% 0.20/0.52  % (18685)------------------------------
% 0.20/0.52  % (18685)------------------------------
% 1.28/0.52  % (18701)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.28/0.52  % (18702)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 1.28/0.53  % (18709)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 1.28/0.53  % (18702)Refutation not found, incomplete strategy% (18702)------------------------------
% 1.28/0.53  % (18702)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.53  % (18702)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.53  % (18702)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.53  
% 1.28/0.53  % (18702)Memory used [KB]: 6140
% 1.28/0.53  % (18702)Time elapsed: 0.004 s
% 1.28/0.53  % (18702)Instructions burned: 3 (million)
% 1.28/0.53  % (18702)------------------------------
% 1.28/0.53  % (18702)------------------------------
% 1.28/0.53  % (18701)Instruction limit reached!
% 1.28/0.53  % (18701)------------------------------
% 1.28/0.53  % (18701)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.53  % (18691)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)
% 1.28/0.53  % (18691)Instruction limit reached!
% 1.28/0.53  % (18691)------------------------------
% 1.28/0.53  % (18691)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.54  % (18681)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.28/0.54  % (18701)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.54  % (18701)Termination reason: Unknown
% 1.28/0.54  % (18701)Termination phase: Saturation
% 1.28/0.54  
% 1.28/0.54  % (18701)Memory used [KB]: 1791
% 1.28/0.54  % (18701)Time elapsed: 0.006 s
% 1.28/0.54  % (18701)Instructions burned: 7 (million)
% 1.28/0.54  % (18701)------------------------------
% 1.28/0.54  % (18701)------------------------------
% 1.28/0.54  % (18683)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 1.28/0.54  % (18691)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.54  % (18691)Termination reason: Unknown
% 1.28/0.54  % (18691)Termination phase: Saturation
% 1.28/0.54  
% 1.28/0.54  % (18691)Memory used [KB]: 6268
% 1.28/0.54  % (18691)Time elapsed: 0.006 s
% 1.28/0.54  % (18691)Instructions burned: 7 (million)
% 1.28/0.54  % (18691)------------------------------
% 1.28/0.54  % (18691)------------------------------
% 1.28/0.54  % (18683)Instruction limit reached!
% 1.28/0.54  % (18683)------------------------------
% 1.28/0.54  % (18683)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.54  % (18683)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.54  % (18683)Termination reason: Unknown
% 1.28/0.54  % (18683)Termination phase: Property scanning
% 1.28/0.54  
% 1.28/0.54  % (18683)Memory used [KB]: 1791
% 1.28/0.54  % (18683)Time elapsed: 0.004 s
% 1.28/0.54  % (18683)Instructions burned: 5 (million)
% 1.28/0.54  % (18683)------------------------------
% 1.28/0.54  % (18683)------------------------------
% 1.45/0.54  % (18686)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.45/0.54  % (18709)First to succeed.
% 1.45/0.54  % (18692)Instruction limit reached!
% 1.45/0.54  % (18692)------------------------------
% 1.45/0.54  % (18692)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.54  % (18692)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.54  % (18692)Termination reason: Unknown
% 1.45/0.54  % (18692)Termination phase: Saturation
% 1.45/0.54  
% 1.45/0.54  % (18692)Memory used [KB]: 6652
% 1.45/0.54  % (18692)Time elapsed: 0.131 s
% 1.45/0.54  % (18692)Instructions burned: 23 (million)
% 1.45/0.54  % (18692)------------------------------
% 1.45/0.54  % (18692)------------------------------
% 1.45/0.54  % (18687)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.45/0.54  % (18694)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.45/0.54  % (18684)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 1.45/0.54  % (18709)Refutation found. Thanks to Tanya!
% 1.45/0.54  % SZS status Unsatisfiable for theBenchmark
% 1.45/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 1.45/0.55  % (18709)------------------------------
% 1.45/0.55  % (18709)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.55  % (18709)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.55  % (18709)Termination reason: Refutation
% 1.45/0.55  
% 1.45/0.55  % (18709)Memory used [KB]: 6780
% 1.45/0.55  % (18709)Time elapsed: 0.132 s
% 1.45/0.55  % (18709)Instructions burned: 16 (million)
% 1.45/0.55  % (18709)------------------------------
% 1.45/0.55  % (18709)------------------------------
% 1.45/0.55  % (18680)Success in time 0.19 s
%------------------------------------------------------------------------------