TSTP Solution File: SWC028-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC028-1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n005.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 18:38:17 EDT 2022

% Result   : Unsatisfiable 1.28s 0.52s
% Output   : Refutation 1.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   43 (   7 unt;   0 def)
%            Number of atoms       :   95 (  22 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   97 (  45   ~;  47   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   6 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    5 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f370,plain,
    $false,
    inference(avatar_sat_refutation,[],[f252,f253,f271,f277,f278,f279,f356,f369]) ).

fof(f369,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f368]) ).

fof(f368,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f364,f241]) ).

fof(f241,plain,
    ( ssList(nil)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f240]) ).

fof(f240,plain,
    ( spl0_2
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f364,plain,
    ( ~ ssList(nil)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(resolution,[],[f359,f235]) ).

fof(f235,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f221]) ).

fof(f221,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f115]) ).

fof(f115,axiom,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | ~ neq(X0,X1)
      | X0 != X1
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f359,plain,
    ( neq(nil,nil)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(backward_demodulation,[],[f270,f246]) ).

fof(f246,plain,
    ( nil = sk3
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f245,plain,
    ( spl0_3
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f270,plain,
    ( neq(sk3,nil)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f268]) ).

fof(f268,plain,
    ( spl0_8
  <=> neq(sk3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f356,plain,
    ( spl0_3
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f355]) ).

fof(f355,plain,
    ( $false
    | spl0_3
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f354,f247]) ).

fof(f247,plain,
    ( nil != sk3
    | spl0_3 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f354,plain,
    ( nil = sk3
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f349,f201]) ).

fof(f201,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).

fof(f349,plain,
    ( ~ ssList(sk3)
    | nil = sk3
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(resolution,[],[f82,f284]) ).

fof(f284,plain,
    ( rearsegP(nil,sk3)
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f265,f250]) ).

fof(f250,plain,
    ( nil = sk4
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f249]) ).

fof(f249,plain,
    ( spl0_4
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f265,plain,
    ( rearsegP(sk4,sk3)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f263]) ).

fof(f263,plain,
    ( spl0_7
  <=> rearsegP(sk4,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f82,axiom,
    ! [X0] :
      ( ~ rearsegP(nil,X0)
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f279,plain,
    ( spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f199,f263,f245]) ).

fof(f199,axiom,
    ( rearsegP(sk4,sk3)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).

fof(f278,plain,
    ( spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f198,f268,f245]) ).

fof(f198,axiom,
    ( neq(sk3,nil)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

fof(f277,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f8,f240]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).

fof(f271,plain,
    ( spl0_8
    | spl0_4 ),
    inference(avatar_split_clause,[],[f196,f249,f268]) ).

fof(f196,axiom,
    ( nil = sk4
    | neq(sk3,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

fof(f253,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f203,f249,f245]) ).

fof(f203,plain,
    ( nil = sk4
    | nil = sk3 ),
    inference(definition_unfolding,[],[f192,f190,f191]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

fof(f192,axiom,
    ( nil = sk2
    | nil = sk1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f252,plain,
    ( ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f204,f249,f245]) ).

fof(f204,plain,
    ( nil != sk4
    | nil != sk3 ),
    inference(definition_unfolding,[],[f195,f191,f190]) ).

fof(f195,axiom,
    ( nil != sk1
    | nil != sk2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWC028-1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n005.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 17:58:48 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  % (4321)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)
% 0.21/0.50  % (4335)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)
% 0.21/0.50  % (4326)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.50  % (4311)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.21/0.51  % (4321)Instruction limit reached!
% 0.21/0.51  % (4321)------------------------------
% 0.21/0.51  % (4321)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51  % (4321)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51  % (4321)Termination reason: Unknown
% 0.21/0.51  % (4321)Termination phase: Property scanning
% 0.21/0.51  
% 0.21/0.51  % (4321)Memory used [KB]: 1535
% 0.21/0.51  % (4321)Time elapsed: 0.005 s
% 0.21/0.51  % (4321)Instructions burned: 6 (million)
% 0.21/0.51  % (4321)------------------------------
% 0.21/0.51  % (4321)------------------------------
% 0.21/0.51  % (4325)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.21/0.51  % (4313)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)
% 0.21/0.51  % (4313)Instruction limit reached!
% 0.21/0.51  % (4313)------------------------------
% 0.21/0.51  % (4313)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51  % (4313)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51  % (4313)Termination reason: Unknown
% 0.21/0.51  % (4313)Termination phase: Equality proxy
% 0.21/0.51  
% 0.21/0.51  % (4313)Memory used [KB]: 1535
% 0.21/0.51  % (4313)Time elapsed: 0.003 s
% 0.21/0.51  % (4313)Instructions burned: 4 (million)
% 0.21/0.51  % (4313)------------------------------
% 0.21/0.51  % (4313)------------------------------
% 0.21/0.51  % (4311)First to succeed.
% 0.21/0.51  % (4318)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)
% 0.21/0.51  % (4341)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.21/0.51  % (4329)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)
% 0.21/0.52  % (4326)Instruction limit reached!
% 0.21/0.52  % (4326)------------------------------
% 0.21/0.52  % (4326)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (4326)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (4326)Termination reason: Unknown
% 0.21/0.52  % (4326)Termination phase: Finite model building preprocessing
% 0.21/0.52  
% 0.21/0.52  % (4326)Memory used [KB]: 1535
% 0.21/0.52  % (4326)Time elapsed: 0.005 s
% 0.21/0.52  % (4326)Instructions burned: 8 (million)
% 0.21/0.52  % (4326)------------------------------
% 0.21/0.52  % (4326)------------------------------
% 0.21/0.52  % (4319)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.52  % (4319)Instruction limit reached!
% 0.21/0.52  % (4319)------------------------------
% 0.21/0.52  % (4319)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (4319)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (4319)Termination reason: Unknown
% 0.21/0.52  % (4319)Termination phase: Property scanning
% 0.21/0.52  
% 0.21/0.52  % (4319)Memory used [KB]: 1535
% 0.21/0.52  % (4319)Time elapsed: 0.003 s
% 0.21/0.52  % (4319)Instructions burned: 3 (million)
% 0.21/0.52  % (4319)------------------------------
% 0.21/0.52  % (4319)------------------------------
% 0.21/0.52  % (4315)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)
% 1.28/0.52  % (4311)Refutation found. Thanks to Tanya!
% 1.28/0.52  % SZS status Unsatisfiable for theBenchmark
% 1.28/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 1.28/0.52  % (4311)------------------------------
% 1.28/0.52  % (4311)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.52  % (4311)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.52  % (4311)Termination reason: Refutation
% 1.28/0.52  
% 1.28/0.52  % (4311)Memory used [KB]: 6268
% 1.28/0.52  % (4311)Time elapsed: 0.109 s
% 1.28/0.52  % (4311)Instructions burned: 12 (million)
% 1.28/0.52  % (4311)------------------------------
% 1.28/0.52  % (4311)------------------------------
% 1.28/0.52  % (4302)Success in time 0.165 s
%------------------------------------------------------------------------------